LMFDB - Embedded newform 930.2.z.d.109.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(109,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 5, 2]))

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

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

chi := DirichletCharacter("930.109");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.z (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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$18$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			109.6
Character	$\chi$	$=$	930.109
Dual form			930.2.z.d.529.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(0.836694 - 2.07363i) q^{5} +1.00000 q^{6} +(-0.595482 - 0.193484i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(0.836694 - 2.07363i) q^{5} +1.00000 q^{6} +(-0.595482 - 0.193484i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(-2.16940 + 0.541950i) q^{10} +(-0.877490 + 2.70064i) q^{11} +(-0.587785 - 0.809017i) q^{12} +(3.24232 - 4.46267i) q^{13} +(0.193484 + 0.595482i) q^{14} +(1.18581 + 1.89575i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.66628 - 0.866327i) q^{17} +(-0.587785 + 0.809017i) q^{18} +(-0.359521 + 0.261207i) q^{19} +(1.71359 + 1.43653i) q^{20} +(0.506547 - 0.368028i) q^{21} +(2.70064 - 0.877490i) q^{22} +(-6.66404 + 2.16528i) q^{23} +(-0.309017 + 0.951057i) q^{24} +(-3.59989 - 3.46999i) q^{25} -5.51617 q^{26} +(0.951057 + 0.309017i) q^{27} +(0.368028 - 0.506547i) q^{28} +(-0.770859 + 0.560062i) q^{29} +(0.836694 - 2.07363i) q^{30} +(4.46769 - 3.32261i) q^{31} +1.00000i q^{32} +(-1.66909 - 2.29730i) q^{33} +(-2.26807 - 1.64785i) q^{34} +(-0.899450 + 1.07292i) q^{35} +1.00000 q^{36} -8.70114i q^{37} +(0.422642 + 0.137325i) q^{38} +(1.70459 + 5.24619i) q^{39} +(0.154956 - 2.23069i) q^{40} +(6.00167 - 4.36047i) q^{41} +(-0.595482 - 0.193484i) q^{42} +(0.116861 + 0.160845i) q^{43} +(-2.29730 - 1.66909i) q^{44} +(-2.23069 - 0.154956i) q^{45} +(5.66877 + 4.11860i) q^{46} +(1.89466 - 2.60777i) q^{47} +(0.951057 - 0.309017i) q^{48} +(-5.34596 - 3.88406i) q^{49} +(-0.691319 + 4.95198i) q^{50} +(-0.866327 + 2.66628i) q^{51} +(3.24232 + 4.46267i) q^{52} +(-8.32796 + 2.70592i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(4.86593 + 4.07920i) q^{55} -0.626127 q^{56} -0.444392i q^{57} +(0.906199 + 0.294442i) q^{58} +(-3.34346 - 2.42917i) q^{59} +(-2.16940 + 0.541950i) q^{60} +9.79680 q^{61} +(-5.31409 - 1.66146i) q^{62} +0.626127i q^{63} +(0.809017 - 0.587785i) q^{64} +(-6.54110 - 10.4573i) q^{65} +(-0.877490 + 2.70064i) q^{66} -13.4568i q^{67} +2.80349i q^{68} +(2.16528 - 6.66404i) q^{69} +(1.39670 + 0.0970222i) q^{70} +(-0.913186 - 2.81050i) q^{71} +(-0.587785 - 0.809017i) q^{72} +(7.85409 + 2.55195i) q^{73} +(-7.03937 + 5.11440i) q^{74} +(4.92324 - 0.872762i) q^{75} +(-0.137325 - 0.422642i) q^{76} +(1.04506 - 1.43840i) q^{77} +(3.24232 - 4.46267i) q^{78} +(-1.09897 - 3.38230i) q^{79} +(-1.89575 + 1.18581i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-7.05539 - 2.29243i) q^{82} +(-7.02591 - 9.67034i) q^{83} +(0.193484 + 0.595482i) q^{84} +(0.434418 - 6.25373i) q^{85} +(0.0614375 - 0.189085i) q^{86} -0.952834i q^{87} +2.83962i q^{88} +(3.18821 - 9.81231i) q^{89} +(1.18581 + 1.89575i) q^{90} +(-2.79420 + 2.03010i) q^{91} -7.00698i q^{92} +(0.0620001 + 5.56742i) q^{93} -3.22338 q^{94} +(0.240838 + 0.964063i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-6.59398 - 2.14251i) q^{97} +6.60797i q^{98} +2.83962 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 18 q^{4} + 4 q^{5} + 72 q^{6} + 18 q^{9}+O(q^{10}) $ 72 * q + 18 * q^4 + 4 * q^5 + 72 * q^6 + 18 * q^9	$ 72 q + 18 q^{4} + 4 q^{5} + 72 q^{6} + 18 q^{9} - 6 q^{11} - 4 q^{14} - 18 q^{16} + 12 q^{19} - 4 q^{20} - 16 q^{21} + 18 q^{24} - 4 q^{25} + 12 q^{26} + 24 q^{29} + 4 q^{30} + 22 q^{31} + 14 q^{34} - 22 q^{35} + 72 q^{36} + 8 q^{39} - 28 q^{41} - 4 q^{44} - 4 q^{45} - 22 q^{46} + 42 q^{49} - 32 q^{50} - 4 q^{51} + 18 q^{54} + 14 q^{55} + 24 q^{56} - 28 q^{59} + 56 q^{61} + 18 q^{64} + 46 q^{65} - 6 q^{66} - 8 q^{69} + 46 q^{70} - 68 q^{71} + 8 q^{74} + 32 q^{75} - 12 q^{76} + 26 q^{79} - 6 q^{80} - 18 q^{81} - 4 q^{84} - 32 q^{85} + 80 q^{86} + 32 q^{89} - 44 q^{91} + 12 q^{94} + 74 q^{95} - 18 q^{96} - 4 q^{99}+O(q^{100}) $ 72 * q + 18 * q^4 + 4 * q^5 + 72 * q^6 + 18 * q^9 - 6 * q^11 - 4 * q^14 - 18 * q^16 + 12 * q^19 - 4 * q^20 - 16 * q^21 + 18 * q^24 - 4 * q^25 + 12 * q^26 + 24 * q^29 + 4 * q^30 + 22 * q^31 + 14 * q^34 - 22 * q^35 + 72 * q^36 + 8 * q^39 - 28 * q^41 - 4 * q^44 - 4 * q^45 - 22 * q^46 + 42 * q^49 - 32 * q^50 - 4 * q^51 + 18 * q^54 + 14 * q^55 + 24 * q^56 - 28 * q^59 + 56 * q^61 + 18 * q^64 + 46 * q^65 - 6 * q^66 - 8 * q^69 + 46 * q^70 - 68 * q^71 + 8 * q^74 + 32 * q^75 - 12 * q^76 + 26 * q^79 - 6 * q^80 - 18 * q^81 - 4 * q^84 - 32 * q^85 + 80 * q^86 + 32 * q^89 - 44 * q^91 + 12 * q^94 + 74 * q^95 - 18 * q^96 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	−0.587785	+	0.809017i	−0.339358	+	0.467086i
$3$	−0.587785	+	0.809017i	−0.339358	+	0.467086i
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	0.836694	−	2.07363i	0.374181	−	0.927356i
$5$	0.836694	−	2.07363i	0.374181	−	0.927356i
$6$	1.00000			0.408248
$7$	−0.595482	−	0.193484i	−0.225071	−	0.0731300i	0.194311	−	0.980940i	$-0.437753\pi$
$7$	−0.595482	−	0.193484i	−0.225071	−	0.0731300i	−0.419382	+	0.907810i	$0.637753\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	−0.309017	−	0.951057i	−0.103006	−	0.317019i
$10$	−2.16940	+	0.541950i	−0.686024	+	0.171380i
$11$	−0.877490	+	2.70064i	−0.264573	+	0.814273i	0.727218	+	0.686406i	$0.240813\pi$
$11$	−0.877490	+	2.70064i	−0.264573	+	0.814273i	−0.991791	+	0.127866i	$0.959187\pi$
$12$	−0.587785	−	0.809017i	−0.169679	−	0.233543i
$13$	3.24232	−	4.46267i	0.899258	−	1.23772i	−0.0714457	−	0.997444i	$-0.522761\pi$
$13$	3.24232	−	4.46267i	0.899258	−	1.23772i	0.970704	−	0.240278i	$-0.0772387\pi$
$14$	0.193484	+	0.595482i	0.0517107	+	0.159149i
$15$	1.18581	+	1.89575i	0.306174	+	0.489480i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	2.66628	−	0.866327i	0.646668	−	0.210115i	0.0327237	−	0.999464i	$-0.489582\pi$
$17$	2.66628	−	0.866327i	0.646668	−	0.210115i	0.613944	+	0.789349i	$0.289582\pi$
$18$	−0.587785	+	0.809017i	−0.138542	+	0.190687i
$19$	−0.359521	+	0.261207i	−0.0824797	+	0.0599250i	−0.628261	−	0.778003i	$-0.716233\pi$
$19$	−0.359521	+	0.261207i	−0.0824797	+	0.0599250i	0.545781	+	0.837928i	$0.316233\pi$
$20$	1.71359	+	1.43653i	0.383170	+	0.321218i
$21$	0.506547	−	0.368028i	0.110538	−	0.0803103i
$22$	2.70064	−	0.877490i	0.575778	−	0.187081i
$23$	−6.66404	+	2.16528i	−1.38955	+	0.451491i	−0.905796	−	0.423714i	$-0.860726\pi$
$23$	−6.66404	+	2.16528i	−1.38955	+	0.451491i	−0.483752	+	0.875205i	$0.660726\pi$
$24$	−0.309017	+	0.951057i	−0.0630778	+	0.194134i
$25$	−3.59989	−	3.46999i	−0.719977	−	0.693998i
$26$	−5.51617			−1.08181
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	0.368028	−	0.506547i	0.0695508	−	0.0957284i
$29$	−0.770859	+	0.560062i	−0.143145	+	0.104001i	−0.657053	−	0.753844i	$-0.728197\pi$
$29$	−0.770859	+	0.560062i	−0.143145	+	0.104001i	0.513908	+	0.857845i	$0.328197\pi$
$30$	0.836694	−	2.07363i	0.152759	−	0.378591i
$31$	4.46769	−	3.32261i	0.802422	−	0.596758i
$31$	4.46769	−	3.32261i	0.802422	−	0.596758i
$32$			1.00000i			0.176777i
$33$	−1.66909	−	2.29730i	−0.290550	−	0.399908i
$34$	−2.26807	−	1.64785i	−0.388972	−	0.282604i
$35$	−0.899450	+	1.07292i	−0.152035	+	0.181357i
$36$	1.00000			0.166667
$37$		−	8.70114i		−	1.43046i	−0.698889	−	0.715230i	$-0.746322\pi$
$37$		−	8.70114i		−	1.43046i	0.698889	−	0.715230i	$-0.253678\pi$
$38$	0.422642	+	0.137325i	0.0685615	+	0.0222770i
$39$	1.70459	+	5.24619i	0.272953	+	0.840062i
$40$	0.154956	−	2.23069i	0.0245007	−	0.352703i
$41$	6.00167	−	4.36047i	0.937304	−	0.680991i	−0.0104664	−	0.999945i	$-0.503332\pi$
$41$	6.00167	−	4.36047i	0.937304	−	0.680991i	0.947770	+	0.318954i	$0.103332\pi$
$42$	−0.595482	−	0.193484i	−0.0918849	−	0.0298552i
$43$	0.116861	+	0.160845i	0.0178211	+	0.0245287i	0.817835	−	0.575453i	$-0.195174\pi$
$43$	0.116861	+	0.160845i	0.0178211	+	0.0245287i	−0.800013	+	0.599982i	$0.795174\pi$
$44$	−2.29730	−	1.66909i	−0.346331	−	0.251624i
$45$	−2.23069	−	0.154956i	−0.332532	−	0.0230995i
$46$	5.66877	+	4.11860i	0.835814	+	0.607255i
$47$	1.89466	−	2.60777i	0.276364	−	0.380383i	−0.648161	−	0.761503i	$-0.724462\pi$
$47$	1.89466	−	2.60777i	0.276364	−	0.380383i	0.924525	+	0.381120i	$0.124462\pi$
$48$	0.951057	−	0.309017i	0.137273	−	0.0446028i
$49$	−5.34596	−	3.88406i	−0.763708	−	0.554866i
$50$	−0.691319	+	4.95198i	−0.0977672	+	0.700315i
$51$	−0.866327	+	2.66628i	−0.121310	+	0.373354i
$52$	3.24232	+	4.46267i	0.449629	+	0.618861i
$53$	−8.32796	+	2.70592i	−1.14393	+	0.371687i	−0.818855	−	0.574000i	$-0.805391\pi$
$53$	−8.32796	+	2.70592i	−1.14393	+	0.371687i	−0.325079	+	0.945687i	$0.605391\pi$
$54$	−0.309017	−	0.951057i	−0.0420519	−	0.129422i
$55$	4.86593	+	4.07920i	0.656122	+	0.550039i
$56$	−0.626127			−0.0836697
$57$		−	0.444392i		−	0.0588611i
$58$	0.906199	+	0.294442i	0.118990	+	0.0386621i
$59$	−3.34346	−	2.42917i	−0.435282	−	0.316251i	0.348475	−	0.937318i	$-0.386699\pi$
$59$	−3.34346	−	2.42917i	−0.435282	−	0.316251i	−0.783757	+	0.621067i	$0.786699\pi$
$60$	−2.16940	+	0.541950i	−0.280068	+	0.0699654i
$61$	9.79680			1.25435			0.627176	−	0.778877i	$-0.284211\pi$
$61$	9.79680			1.25435			0.627176	+	0.778877i	$0.284211\pi$
$62$	−5.31409	−	1.66146i	−0.674890	−	0.211006i
$63$			0.626127i			0.0788846i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−6.54110	−	10.4573i	−0.811324	−	1.29706i
$66$	−0.877490	+	2.70064i	−0.108012	+	0.332425i
$67$		−	13.4568i		−	1.64401i	−0.569483	−	0.822003i	$-0.692856\pi$
$67$		−	13.4568i		−	1.64401i	0.569483	−	0.822003i	$-0.307144\pi$
$68$			2.80349i			0.339974i
$69$	2.16528	−	6.66404i	0.260669	−	0.802256i
$70$	1.39670	+	0.0970222i	0.166937	+	0.0115964i
$71$	−0.913186	−	2.81050i	−0.108375	−	0.333545i	0.882133	−	0.471001i	$-0.156107\pi$
$71$	−0.913186	−	2.81050i	−0.108375	−	0.333545i	−0.990508	+	0.137457i	$0.956107\pi$
$72$	−0.587785	−	0.809017i	−0.0692712	−	0.0953436i
$73$	7.85409	+	2.55195i	0.919252	+	0.298683i	0.730160	−	0.683276i	$-0.239446\pi$
$73$	7.85409	+	2.55195i	0.919252	+	0.298683i	0.189092	+	0.981959i	$0.439446\pi$
$74$	−7.03937	+	5.11440i	−0.818311	+	0.594537i
$75$	4.92324	−	0.872762i	0.568487	−	0.100778i
$76$	−0.137325	−	0.422642i	−0.0157522	−	0.0484803i
$77$	1.04506	−	1.43840i	0.119096	−	0.163921i
$78$	3.24232	−	4.46267i	0.367121	−	0.505298i
$79$	−1.09897	−	3.38230i	−0.123644	−	0.380538i	0.870007	−	0.493039i	$-0.164114\pi$
$79$	−1.09897	−	3.38230i	−0.123644	−	0.380538i	−0.993652	+	0.112501i	$0.964114\pi$
$80$	−1.89575	+	1.18581i	−0.211951	+	0.132577i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−7.05539	−	2.29243i	−0.779137	−	0.253157i
$83$	−7.02591	−	9.67034i	−0.771194	−	1.06146i	−0.996200	−	0.0870998i	$-0.972240\pi$
$83$	−7.02591	−	9.67034i	−0.771194	−	1.06146i	0.225006	−	0.974357i	$-0.427760\pi$
$84$	0.193484	+	0.595482i	0.0211108	+	0.0649724i
$85$	0.434418	−	6.25373i	0.0471193	−	0.678313i
$86$	0.0614375	−	0.189085i	0.00662497	−	0.0203896i
$87$		−	0.952834i		−	0.102155i
$88$			2.83962i			0.302704i
$89$	3.18821	−	9.81231i	0.337950	−	1.04010i	−0.627301	−	0.778777i	$-0.715840\pi$
$89$	3.18821	−	9.81231i	0.337950	−	1.04010i	0.965251	−	0.261325i	$-0.0841596\pi$
$90$	1.18581	+	1.89575i	0.124995	+	0.199829i
$91$	−2.79420	+	2.03010i	−0.292912	+	0.212813i
$92$		−	7.00698i		−	0.730528i
$93$	0.0620001	+	5.56742i	0.00642911	+	0.577314i
$94$	−3.22338			−0.332467
$95$	0.240838	+	0.964063i	0.0247095	+	0.0989108i
$96$	−0.809017	−	0.587785i	−0.0825700	−	0.0599906i
$97$	−6.59398	−	2.14251i	−0.669517	−	0.217539i	−0.0455169	−	0.998964i	$-0.514493\pi$
$97$	−6.59398	−	2.14251i	−0.669517	−	0.217539i	−0.624000	+	0.781424i	$0.714493\pi$
$98$			6.60797i			0.667505i
$99$	2.83962			0.285392
$100$	4.41258	−	2.35141i	0.441258	−	0.235141i
$101$	0.773654	+	2.38106i	0.0769815	+	0.236925i	0.982141	−	0.188148i	$-0.0602485\pi$
$101$	0.773654	+	2.38106i	0.0769815	+	0.236925i	−0.905159	+	0.425073i	$0.860248\pi$
$102$	2.66628	−	0.866327i	0.264001	−	0.0857792i
$103$	−2.45928	−	3.38491i	−0.242320	−	0.333525i	0.670483	−	0.741925i	$-0.266087\pi$
$103$	−2.45928	−	3.38491i	−0.242320	−	0.333525i	−0.912803	+	0.408400i	$0.866087\pi$
$104$	1.70459	−	5.24619i	0.167149	−	0.514431i
$105$	−0.339329	−	1.35832i	−0.0331152	−	0.132558i
$106$	7.08419	+	5.14696i	0.688077	+	0.499917i
$107$	−5.15260	+	1.67418i	−0.498121	+	0.161849i	−0.547293	−	0.836941i	$-0.684342\pi$
$107$	−5.15260	+	1.67418i	−0.498121	+	0.161849i	0.0491724	+	0.998790i	$0.484342\pi$
$108$	−0.587785	+	0.809017i	−0.0565597	+	0.0778477i
$109$	1.58978	+	1.15504i	0.152273	+	0.110633i	0.661313	−	0.750110i	$-0.269999\pi$
$109$	1.58978	+	1.15504i	0.152273	+	0.110633i	−0.509040	+	0.860743i	$0.669999\pi$
$110$	0.440016	−	6.33431i	0.0419539	−	0.603953i
$111$	7.03937	+	5.11440i	0.668148	+	0.485438i
$112$	0.368028	+	0.506547i	0.0347754	+	0.0478642i
$113$	3.79233	+	1.23220i	0.356752	+	0.115916i	0.481909	−	0.876221i	$-0.339943\pi$
$113$	3.79233	+	1.23220i	0.356752	+	0.115916i	−0.125157	+	0.992137i	$0.539943\pi$
$114$	−0.359521	+	0.261207i	−0.0336722	+	0.0244643i
$115$	−1.08577	+	15.6304i	−0.101249	+	1.45754i
$116$	−0.294442	−	0.906199i	−0.0273383	−	0.0841385i
$117$	−5.24619	−	1.70459i	−0.485010	−	0.157589i
$118$			4.13275i			0.380450i
$119$	−1.75534			−0.160912
$120$	1.71359	+	1.43653i	0.156428	+	0.131137i
$121$	2.37574	+	1.72607i	0.215976	+	0.156916i
$122$	−5.75842	−	7.92578i	−0.521343	−	0.717567i
$123$			7.41848i			0.668901i
$124$	1.77939	+	5.27577i	0.159794	+	0.473778i
$125$	−10.2075	+	4.56152i	−0.912984	+	0.407995i
$126$	0.506547	−	0.368028i	0.0451268	−	0.0327866i
$127$	−6.64051	+	9.13987i	−0.589250	+	0.811033i	−0.994671	−	0.103097i	$-0.967125\pi$
$127$	−6.64051	+	9.13987i	−0.589250	+	0.811033i	0.405422	+	0.914130i	$0.367125\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	−0.198816			−0.0175048
$130$	−4.61534	+	11.4385i	−0.404792	+	1.00322i
$131$	4.93110	−	15.1764i	0.430832	−	1.32596i	−0.466466	−	0.884539i	$-0.654473\pi$
$131$	4.93110	−	15.1764i	0.430832	−	1.32596i	0.897298	−	0.441425i	$-0.145527\pi$
$132$	2.70064	−	0.877490i	0.235060	−	0.0763757i
$133$	0.264627	−	0.0859826i	0.0229461	−	0.00745564i
$134$	−10.8868	+	7.90969i	−0.940473	+	0.683293i
$135$	1.43653	−	1.71359i	0.123637	−	0.147482i
$136$	2.26807	−	1.64785i	0.194486	−	0.141302i
$137$	−8.52307	+	11.7310i	−0.728175	+	1.00225i	0.271037	+	0.962569i	$0.412633\pi$
$137$	−8.52307	+	11.7310i	−0.728175	+	1.00225i	−0.999213	+	0.0396782i	$0.987367\pi$
$138$	−6.66404	+	2.16528i	−0.567280	+	0.184321i
$139$	8.32539	+	6.04875i	0.706151	+	0.513049i	0.881930	−	0.471381i	$-0.156244\pi$
$139$	8.32539	+	6.04875i	0.706151	+	0.513049i	−0.175779	+	0.984430i	$0.556244\pi$
$140$	−0.742465	−	1.18698i	−0.0627497	−	0.100318i
$141$	0.996081	+	3.06562i	0.0838851	+	0.258172i
$142$	−1.73698	+	2.39075i	−0.145764	+	0.200627i
$143$	9.20695	+	12.6723i	0.769924	+	1.05971i
$144$	−0.309017	+	0.951057i	−0.0257514	+	0.0792547i
$145$	0.516389	+	2.06708i	0.0428837	+	0.171661i
$146$	−2.55195	−	7.85409i	−0.211201	−	0.650009i
$147$	6.28455	−	2.04197i	0.518341	−	0.168419i
$148$	8.27528	+	2.68880i	0.680224	+	0.221018i
$149$	−11.2639			−0.922772			−0.461386	−	0.887200i	$-0.652648\pi$
$149$	−11.2639			−0.922772			−0.461386	+	0.887200i	$0.652648\pi$
$150$	−3.59989	−	3.46999i	−0.293930	−	0.283323i
$151$	−1.83539	+	5.64874i	−0.149362	+	0.459688i	−0.997546	−	0.0700132i	$-0.977696\pi$
$151$	−1.83539	+	5.64874i	−0.149362	+	0.459688i	0.848184	+	0.529701i	$0.177696\pi$
$152$	−0.261207	+	0.359521i	−0.0211867	+	0.0291610i
$153$	−1.64785	−	2.26807i	−0.133221	−	0.183363i
$154$	−1.77796			−0.143272
$155$	−3.15177	−	12.0444i	−0.253156	−	0.967426i
$156$	−5.51617			−0.441647
$157$	10.2267	+	14.0759i	0.816181	+	1.12338i	0.990340	+	0.138659i	$0.0442791\pi$
$157$	10.2267	+	14.0759i	0.816181	+	1.12338i	−0.174160	+	0.984717i	$0.555721\pi$
$158$	−2.09037	+	2.87715i	−0.166301	+	0.228894i
$159$	2.70592	−	8.32796i	0.214593	−	0.660450i
$160$	2.07363	+	0.836694i	0.163935	+	0.0661465i
$161$	4.38726			0.345765
$162$	0.951057	+	0.309017i	0.0747221	+	0.0242787i
$163$	2.62311	−	0.852300i	0.205458	−	0.0667573i	−0.204480	−	0.978871i	$-0.565550\pi$
$163$	2.62311	−	0.852300i	0.205458	−	0.0667573i	0.409938	+	0.912113i	$0.365550\pi$
$164$	2.29243	+	7.05539i	0.179009	+	0.550933i
$165$	−6.16026	+	1.53893i	−0.479576	+	0.119806i
$166$	−3.69374	+	11.3682i	−0.286690	+	0.882340i
$167$	12.8862	+	17.7364i	0.997168	+	1.37248i	0.927047	+	0.374945i	$0.122338\pi$
$167$	12.8862	+	17.7364i	0.997168	+	1.37248i	0.0701206	+	0.997539i	$0.477662\pi$
$168$	0.368028	−	0.506547i	0.0283940	−	0.0390810i
$169$	−5.38558	−	16.5751i	−0.414275	−	1.27501i
$170$	−5.31472	+	3.32440i	−0.407620	+	0.254970i
$171$	0.359521	+	0.261207i	0.0274932	+	0.0199750i
$172$	−0.189085	+	0.0614375i	−0.0144176	+	0.00468456i
$173$	−9.20572	+	12.6706i	−0.699898	+	0.963327i	0.300058	+	0.953921i	$0.402994\pi$
$173$	−9.20572	+	12.6706i	−0.699898	+	0.963327i	−0.999956	+	0.00940571i	$0.997006\pi$
$174$	−0.770859	+	0.560062i	−0.0584387	+	0.0424582i
$175$	1.47228	+	2.76284i	0.111294	+	0.208851i
$176$	2.29730	−	1.66909i	0.173165	−	0.125812i
$177$	3.93048	−	1.27709i	0.295433	−	0.0959920i
$178$	−9.81231	+	3.18821i	−0.735463	+	0.238967i
$179$	0.197672	−	0.608371i	0.0147747	−	0.0454718i	−0.943397	−	0.331665i	$-0.892390\pi$
$179$	0.197672	−	0.608371i	0.0147747	−	0.0454718i	0.958172	+	0.286193i	$0.0923898\pi$
$180$	0.836694	−	2.07363i	0.0623635	−	0.154559i
$181$	12.2890			0.913435			0.456718	−	0.889612i	$-0.349025\pi$
$181$	12.2890			0.913435			0.456718	+	0.889612i	$0.349025\pi$
$182$	3.28478	+	1.06729i	0.243484	+	0.0791128i
$183$	−5.75842	+	7.92578i	−0.425674	+	0.585891i
$184$	−5.66877	+	4.11860i	−0.417907	+	0.303627i
$185$	−18.0430	−	7.28019i	−1.32654	−	0.535251i
$186$	4.46769	−	3.32261i	0.327587	−	0.243625i
$187$			7.96085i			0.582155i
$188$	1.89466	+	2.60777i	0.138182	+	0.190191i
$189$	−0.506547	−	0.368028i	−0.0368459	−	0.0267701i
$190$	0.638382	−	0.761504i	0.0463131	−	0.0552453i
$191$	13.8232			1.00021			0.500104	−	0.865965i	$-0.333295\pi$
$191$	13.8232			1.00021			0.500104	+	0.865965i	$0.333295\pi$
$192$			1.00000i			0.0721688i
$193$	4.16276	+	1.35256i	0.299642	+	0.0973597i	0.454980	−	0.890502i	$-0.349646\pi$
$193$	4.16276	+	1.35256i	0.299642	+	0.0973597i	−0.155337	+	0.987861i	$0.549646\pi$
$194$	2.14251	+	6.59398i	0.153823	+	0.473420i
$195$	12.3049	+	0.854764i	0.881170	+	0.0612109i
$196$	5.34596	−	3.88406i	0.381854	−	0.277433i
$197$	25.1261	+	8.16396i	1.79016	+	0.581658i	0.999531	−	0.0306367i	$-0.00975350\pi$
$197$	25.1261	+	8.16396i	1.79016	+	0.581658i	0.790629	+	0.612295i	$0.209754\pi$
$198$	−1.66909	−	2.29730i	−0.118617	−	0.163262i
$199$	14.5071	+	10.5400i	1.02838	+	0.747163i	0.967984	−	0.251011i	$-0.0807632\pi$
$199$	14.5071	+	10.5400i	1.02838	+	0.747163i	0.0603974	+	0.998174i	$0.480763\pi$
$200$	−4.49598	−	2.18773i	−0.317914	−	0.154696i
$201$	10.8868	+	7.90969i	0.767893	+	0.557907i
$202$	1.47158	−	2.02545i	0.103540	−	0.142510i
$203$	0.567396	−	0.184358i	0.0398234	−	0.0129394i
$204$	−2.26807	−	1.64785i	−0.158797	−	0.115373i
$205$	−4.02044	−	16.0936i	−0.280800	−	1.12403i
$206$	−1.29292	+	3.97920i	−0.0900821	+	0.277244i
$207$	4.11860	+	5.66877i	0.286263	+	0.394007i
$208$	−5.24619	+	1.70459i	−0.363758	+	0.118192i
$209$	−0.389949	−	1.20014i	−0.0269734	−	0.0830155i
$210$	−0.899450	+	1.07292i	−0.0620680	+	0.0740387i
$211$	−14.5552			−1.00202			−0.501012	−	0.865440i	$-0.667039\pi$
$211$	−14.5552			−1.00202			−0.501012	+	0.865440i	$0.667039\pi$
$212$		−	8.75654i		−	0.601401i
$213$	2.81050	+	0.913186i	0.192572	+	0.0625705i
$214$	4.38306	+	3.18448i	0.299620	+	0.217687i
$215$	0.431311	−	0.107748i	0.0294152	−	0.00734837i
$216$	1.00000			0.0680414
$217$	−3.30330	+	1.11413i	−0.224243	+	0.0756318i
$218$		−	1.96507i		−	0.133092i
$219$	−6.68109	+	4.85410i	−0.451466	+	0.328009i
$220$	−5.38320	+	3.36724i	−0.362935	+	0.227019i
$221$	4.77881	−	14.7077i	0.321457	−	0.989344i
$222$		−	8.70114i		−	0.583983i
$223$		−	25.5475i		−	1.71079i	−0.517977	−	0.855394i	$-0.673315\pi$
$223$		−	25.5475i		−	1.71079i	0.517977	−	0.855394i	$-0.326685\pi$
$224$	0.193484	−	0.595482i	0.0129277	−	0.0397873i
$225$	−2.18773	+	4.49598i	−0.145849	+	0.299732i
$226$	−1.23220	−	3.79233i	−0.0819649	−	0.252262i
$227$	7.30916	+	10.0602i	0.485126	+	0.667719i	0.979480	−	0.201542i	$-0.0645953\pi$
$227$	7.30916	+	10.0602i	0.485126	+	0.667719i	−0.494354	+	0.869261i	$0.664595\pi$
$228$	0.422642	+	0.137325i	0.0279901	+	0.00909454i
$229$	3.44977	−	2.50641i	0.227967	−	0.165628i	−0.467938	−	0.883761i	$-0.655003\pi$
$229$	3.44977	−	2.50641i	0.227967	−	0.165628i	0.695906	+	0.718133i	$0.255003\pi$
$230$	13.2835	−	8.30892i	0.875887	−	0.547874i
$231$	0.549420	+	1.69094i	0.0361492	+	0.111256i
$232$	−0.560062	+	0.770859i	−0.0367699	+	0.0506094i
$233$	−10.3123	+	14.1936i	−0.675580	+	0.929856i	−0.999870	−	0.0161016i	$-0.994874\pi$
$233$	−10.3123	+	14.1936i	−0.675580	+	0.929856i	0.324290	+	0.945958i	$0.394874\pi$
$234$	1.70459	+	5.24619i	0.111433	+	0.342954i
$235$	−3.82231	−	6.11073i	−0.249340	−	0.398620i
$236$	3.34346	−	2.42917i	0.217641	−	0.158125i
$237$	3.38230	+	1.09897i	0.219704	+	0.0713861i
$238$	1.03176	+	1.42010i	0.0668794	+	0.0920516i
$239$	1.41153	+	4.34424i	0.0913043	+	0.281006i	0.986273	−	0.165123i	$-0.0528022\pi$
$239$	1.41153	+	4.34424i	0.0913043	+	0.281006i	−0.894969	+	0.446129i	$0.852802\pi$
$240$	0.154956	−	2.23069i	0.0100024	−	0.143991i
$241$	5.17438	−	15.9251i	0.333311	−	1.02583i	−0.634237	−	0.773139i	$-0.718685\pi$
$241$	5.17438	−	15.9251i	0.333311	−	1.02583i	0.967548	−	0.252688i	$-0.0813145\pi$
$242$		−	2.93657i		−	0.188770i
$243$		−	1.00000i		−	0.0641500i
$244$	−3.02738	+	9.31732i	−0.193808	+	0.596480i
$245$	−12.5270	+	7.83576i	−0.800323	+	0.500609i
$246$	6.00167	−	4.36047i	0.382653	−	0.278013i
$247$			2.45134i			0.155975i
$248$	3.22229	−	4.54058i	0.204615	−	0.288327i
$249$	11.9532			0.757503
$250$	9.69015	+	5.57683i	0.612859	+	0.352710i
$251$	17.9562	+	13.0459i	1.13338	+	0.823452i	0.986184	−	0.165655i	$-0.0529737\pi$
$251$	17.9562	+	13.0459i	1.13338	+	0.823452i	0.147201	+	0.989107i	$0.452974\pi$
$252$	−0.595482	−	0.193484i	−0.0375118	−	0.0121883i
$253$		−	19.8971i		−	1.25092i
$254$	11.2975			0.708869
$255$	4.80403	+	4.02730i	0.300840	+	0.252200i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−17.6015	+	5.71909i	−1.09795	+	0.356747i	−0.801315	−	0.598243i	$-0.795866\pi$
$257$	−17.6015	+	5.71909i	−1.09795	+	0.356747i	−0.296639	+	0.954990i	$0.595866\pi$
$258$	0.116861	+	0.160845i	0.00727545	+	0.0100138i
$259$	−1.68353	+	5.18138i	−0.104610	+	0.321955i
$260$	11.9668	−	2.98949i	0.742147	−	0.185400i
$261$	0.770859	+	0.560062i	0.0477150	+	0.0346670i
$262$	−15.1764	+	4.93110i	−0.937598	+	0.304644i
$263$	−10.9539	+	15.0767i	−0.675444	+	0.929668i	−0.999868	−	0.0162433i	$-0.994829\pi$
$263$	−10.9539	+	15.0767i	−0.675444	+	0.929668i	0.324425	+	0.945912i	$0.394829\pi$
$264$	−2.29730	−	1.66909i	−0.141389	−	0.102725i
$265$	−1.35688	+	19.5331i	−0.0833524	+	1.19991i
$266$	−0.225105	−	0.163549i	−0.0138021	−	0.0100278i
$267$	6.06434	+	8.34685i	0.371131	+	0.510819i
$268$	12.7982	+	4.15837i	0.781772	+	0.254013i
$269$	−2.96675	+	2.15547i	−0.180886	+	0.131421i	−0.674544	−	0.738235i	$-0.735660\pi$
$269$	−2.96675	+	2.15547i	−0.180886	+	0.131421i	0.493658	+	0.869656i	$0.335660\pi$
$270$	−2.23069	−	0.154956i	−0.135756	−	0.00943033i
$271$	5.08399	+	15.6469i	0.308831	+	0.950483i	0.978220	+	0.207571i	$0.0665559\pi$
$271$	5.08399	+	15.6469i	0.308831	+	0.950483i	−0.669389	+	0.742912i	$0.733444\pi$
$272$	−2.66628	−	0.866327i	−0.161667	−	0.0525288i
$273$		−	3.45382i		−	0.209035i
$274$	14.5003			0.875996
$275$	12.5300	−	6.67711i	0.755590	−	0.402645i
$276$	5.66877	+	4.11860i	0.341220	+	0.247911i
$277$	1.20344	+	1.65639i	0.0723075	+	0.0995227i	0.843639	−	0.536911i	$-0.180409\pi$
$277$	1.20344	+	1.65639i	0.0723075	+	0.0995227i	−0.771331	+	0.636434i	$0.780409\pi$
$278$		−	10.2908i		−	0.617198i
$279$	−4.54058	−	3.22229i	−0.271837	−	0.192913i
$280$	−0.523877	+	1.29836i	−0.0313076	+	0.0775916i
$281$	−1.53709	+	1.11676i	−0.0916949	+	0.0666202i	−0.632688	−	0.774407i	$-0.718048\pi$
$281$	−1.53709	+	1.11676i	−0.0916949	+	0.0666202i	0.540993	+	0.841027i	$0.318048\pi$
$282$	1.89466	−	2.60777i	0.112825	−	0.155291i
$283$	−11.1766	−	3.63150i	−0.664380	−	0.215870i	−0.0426361	−	0.999091i	$-0.513576\pi$
$283$	−11.1766	−	3.63150i	−0.664380	−	0.215870i	−0.621744	+	0.783220i	$0.713576\pi$
$284$	2.95513			0.175355
$285$	−0.921504	−	0.371820i	−0.0545852	−	0.0220247i
$286$	4.84038	−	14.8972i	0.286218	−	0.880888i
$287$	−4.41757	+	1.43536i	−0.260761	+	0.0847263i
$288$	0.951057	−	0.309017i	0.0560415	−	0.0182090i
$289$	−7.39476	+	5.37261i	−0.434986	+	0.316036i
$290$	1.36878	−	1.63276i	0.0803773	−	0.0958793i
$291$	5.60917	−	4.07530i	0.328815	−	0.238898i
$292$	−4.85410	+	6.68109i	−0.284065	+	0.390981i
$293$	20.3283	−	6.60505i	1.18759	−	0.385871i	0.352409	−	0.935846i	$-0.385363\pi$
$293$	20.3283	−	6.60505i	1.18759	−	0.385871i	0.835181	+	0.549975i	$0.185363\pi$
$294$	−5.34596	−	3.88406i	−0.311782	−	0.226523i
$295$	−7.83466	+	4.90064i	−0.456151	+	0.285326i
$296$	−2.68880	−	8.27528i	−0.156283	−	0.480991i
$297$	−1.66909	+	2.29730i	−0.0968501	+	0.133303i
$298$	6.62073	+	9.11266i	0.383529	+	0.527882i
$299$	−11.9440	+	36.7599i	−0.690741	+	2.12588i
$300$	−0.691319	+	4.95198i	−0.0399133	+	0.285903i
$301$	−0.0384677	−	0.118391i	−0.00221724	−	0.00682396i
$302$	5.64874	−	1.83539i	0.325048	−	0.105615i
$303$	−2.38106	−	0.773654i	−0.136789	−	0.0444453i
$304$	0.444392			0.0254876
$305$	8.19693	−	20.3150i	0.469355	−	1.16323i
$306$	−0.866327	+	2.66628i	−0.0495246	+	0.152421i
$307$	15.2838	−	21.0363i	0.872291	−	1.20061i	−0.106206	−	0.994344i	$-0.533870\pi$
$307$	15.2838	−	21.0363i	0.872291	−	1.20061i	0.978497	−	0.206261i	$-0.0661297\pi$
$308$	1.04506	+	1.43840i	0.0595478	+	0.0819605i
$309$	4.18398			0.238018
$310$	−7.89152	+	9.62932i	−0.448208	+	0.546909i
$311$	−5.00741			−0.283944			−0.141972	−	0.989871i	$-0.545344\pi$
$311$	−5.00741			−0.283944			−0.141972	+	0.989871i	$0.545344\pi$
$312$	3.24232	+	4.46267i	0.183560	+	0.252649i
$313$	13.2749	−	18.2714i	0.750344	−	1.03276i	−0.247613	−	0.968859i	$-0.579646\pi$
$313$	13.2749	−	18.2714i	0.750344	−	1.03276i	0.997956	−	0.0639004i	$-0.0203540\pi$
$314$	5.37650	−	16.5472i	0.303414	−	0.933811i
$315$	1.29836	+	0.523877i	0.0731541	+	0.0295171i
$316$	3.55636			0.200061
$317$	−7.23624	−	2.35120i	−0.406428	−	0.132056i	0.0986665	−	0.995121i	$-0.468542\pi$
$317$	−7.23624	−	2.35120i	−0.406428	−	0.132056i	−0.505094	+	0.863064i	$0.668542\pi$
$318$	−8.32796	+	2.70592i	−0.467009	+	0.151740i
$319$	−0.836103	−	2.57326i	−0.0468128	−	0.144075i
$320$	−0.541950	−	2.16940i	−0.0302959	−	0.121273i
$321$	1.67418	−	5.15260i	0.0934437	−	0.287590i
$322$	−2.57877	−	3.54937i	−0.143709	−	0.197799i
$323$	−0.732292	+	1.00791i	−0.0407458	+	0.0560818i
$324$	−0.309017	−	0.951057i	−0.0171676	−	0.0528365i
$325$	−27.1574	+	4.81430i	−1.50642	+	0.267049i
$326$	−2.23135	−	1.62117i	−0.123583	−	0.0897884i
$327$	−1.86890	+	0.607241i	−0.103350	+	0.0335805i
$328$	4.36047	−	6.00167i	0.240767	−	0.331387i
$329$	−1.63280	+	1.18630i	−0.0900190	+	0.0654026i
$330$	4.86593	+	4.07920i	0.267861	+	0.224552i
$331$	15.1027	−	10.9727i	0.830118	−	0.603116i	−0.0894750	−	0.995989i	$-0.528519\pi$
$331$	15.1027	−	10.9727i	0.830118	−	0.603116i	0.919593	+	0.392873i	$0.128519\pi$
$332$	11.3682	−	3.69374i	0.623909	−	0.202720i
$333$	−8.27528	+	2.68880i	−0.453483	+	0.147345i
$334$	6.77470	−	20.8504i	0.370695	−	1.14088i
$335$	−27.9044	−	11.2592i	−1.52458	−	0.615156i
$336$	−0.626127			−0.0341580
$337$	−13.2270	−	4.29771i	−0.720520	−	0.234111i	−0.0742716	−	0.997238i	$-0.523663\pi$
$337$	−13.2270	−	4.29771i	−0.720520	−	0.234111i	−0.646249	+	0.763127i	$0.723663\pi$
$338$	−10.2440	+	14.0996i	−0.557199	+	0.766919i
$339$	−3.22595	+	2.34379i	−0.175209	+	0.127297i
$340$	5.81341	+	2.34567i	0.315276	+	0.127212i
$341$	5.05279	+	14.9812i	0.273624	+	0.811276i
$342$		−	0.444392i		−	0.0240300i
$343$	5.00811	+	6.89308i	0.270413	+	0.372191i
$344$	0.160845	+	0.116861i	0.00867220	+	0.00630073i
$345$	−12.0071	−	10.0657i	−0.646439	−	0.541921i
$346$	15.6617			0.841978
$347$		−	33.8644i		−	1.81794i	−0.416866	−	0.908968i	$-0.636872\pi$
$347$		−	33.8644i		−	1.81794i	0.416866	−	0.908968i	$-0.363128\pi$
$348$	0.906199	+	0.294442i	0.0485774	+	0.0157837i
$349$	−8.78081	−	27.0245i	−0.470026	−	1.44659i	−0.852550	−	0.522645i	$-0.824945\pi$
$349$	−8.78081	−	27.0245i	−0.470026	−	1.44659i	0.382524	−	0.923945i	$-0.375055\pi$
$350$	1.36980	−	2.81505i	0.0732186	−	0.150471i
$351$	4.46267	−	3.24232i	0.238200	−	0.173062i
$352$	−2.70064	−	0.877490i	−0.143944	−	0.0467704i
$353$	−5.70821	−	7.85668i	−0.303818	−	0.418169i	0.629623	−	0.776901i	$-0.283209\pi$
$353$	−5.70821	−	7.85668i	−0.303818	−	0.418169i	−0.933441	+	0.358732i	$0.883209\pi$
$354$	−3.34346	−	2.42917i	−0.177703	−	0.129109i
$355$	−6.59199	−	0.457916i	−0.349866	−	0.0243036i
$356$	8.34685	+	6.06434i	0.442382	+	0.321409i
$357$	1.03176	−	1.42010i	0.0546068	−	0.0751598i
$358$	−0.608371	+	0.197672i	−0.0321534	+	0.0104473i
$359$	1.92782	+	1.40064i	0.101746	+	0.0739231i	0.637495	−	0.770454i	$-0.279971\pi$
$359$	1.92782	+	1.40064i	0.101746	+	0.0739231i	−0.535749	+	0.844377i	$0.679971\pi$
$360$	−2.16940	+	0.541950i	−0.114337	+	0.0285633i
$361$	−5.81030	+	17.8823i	−0.305805	+	0.941171i
$362$	−7.22330	−	9.94202i	−0.379648	−	0.522541i
$363$	−2.79285	+	0.907451i	−0.146586	+	0.0476288i
$364$	−1.06729	−	3.28478i	−0.0559412	−	0.172169i
$365$	11.8633	−	14.1513i	0.620952	−	0.740712i
$366$	9.79680			0.512087
$367$			30.0784i			1.57008i	0.619446	+	0.785039i	$0.287357\pi$
$367$			30.0784i			1.57008i	−0.619446	+	0.785039i	$0.712643\pi$
$368$	6.66404	+	2.16528i	0.347387	+	0.112873i
$369$	−6.00167	−	4.36047i	−0.312435	−	0.226997i
$370$	4.71558	+	18.8763i	0.245152	+	0.981330i
$371$	5.48270			0.284648
$372$	−5.31409	−	1.66146i	−0.275523	−	0.0861428i
$373$			24.3845i			1.26258i	0.775547	+	0.631290i	$0.217474\pi$
$373$			24.3845i			1.26258i	−0.775547	+	0.631290i	$0.782526\pi$
$374$	6.44046	−	4.67927i	0.333028	−	0.241959i
$375$	2.30946	−	10.9392i	0.119260	−	0.564899i
$376$	0.996081	−	3.06562i	0.0513689	−	0.158097i
$377$			5.25599i			0.270698i
$378$			0.626127i			0.0322045i
$379$	−7.04964	+	21.6966i	−0.362116	+	1.11448i	0.589652	+	0.807657i	$0.299265\pi$
$379$	−7.04964	+	21.6966i	−0.362116	+	1.11448i	−0.951768	+	0.306820i	$0.900735\pi$
$380$	−0.991301	−	0.0688612i	−0.0508527	−	0.00353251i
$381$	−3.49112	−	10.7446i	−0.178856	−	0.550461i
$382$	−8.12505	−	11.1832i	−0.415714	−	0.572181i
$383$	−6.42880	−	2.08884i	−0.328496	−	0.106735i	0.140126	−	0.990134i	$-0.455249\pi$
$383$	−6.42880	−	2.08884i	−0.328496	−	0.106735i	−0.468622	+	0.883399i	$0.655249\pi$
$384$	0.809017	−	0.587785i	0.0412850	−	0.0299953i
$385$	−2.10832	−	3.37057i	−0.107450	−	0.171780i
$386$	−1.35256	−	4.16276i	−0.0688437	−	0.211879i
$387$	0.116861	−	0.160845i	0.00594038	−	0.00817623i
$388$	4.07530	−	5.60917i	0.206892	−	0.284763i
$389$	10.5366	+	32.4283i	0.534226	+	1.64418i	0.745315	+	0.666712i	$0.232299\pi$
$389$	10.5366	+	32.4283i	0.534226	+	1.64418i	−0.211089	+	0.977467i	$0.567701\pi$
$390$	−6.54110	−	10.4573i	−0.331222	−	0.529524i
$391$	−15.8924	+	11.5465i	−0.803711	+	0.583930i
$392$	−6.28455	−	2.04197i	−0.317418	−	0.103135i
$393$	9.37950	+	12.9098i	0.473133	+	0.651212i
$394$	−8.16396	−	25.1261i	−0.411294	−	1.26583i
$395$	−7.93314	−	0.551079i	−0.399159	−	0.0277278i
$396$	−0.877490	+	2.70064i	−0.0440955	+	0.135712i
$397$			34.1975i			1.71632i	0.513380	+	0.858161i	$0.328393\pi$
$397$			34.1975i			1.71632i	−0.513380	+	0.858161i	$0.671607\pi$
$398$		−	17.9318i		−	0.898838i
$399$	−0.0859826	+	0.264627i	−0.00430452	+	0.0132479i
$400$	0.872762	+	4.92324i	0.0436381	+	0.246162i
$401$	−26.1471	+	18.9969i	−1.30572	+	0.948662i	−0.999994	−	0.00345694i	$-0.998900\pi$
$401$	−26.1471	+	18.9969i	−1.30572	+	0.948662i	−0.305727	+	0.952119i	$0.598900\pi$
$402$		−	13.4568i		−	0.671163i
$403$	−0.342003	−	30.7108i	−0.0170364	−	1.52981i
$404$	−2.50360			−0.124559
$405$	0.541950	+	2.16940i	0.0269297	+	0.107798i
$406$	−0.482656	−	0.350670i	−0.0239538	−	0.0174035i
$407$	23.4986	+	7.63517i	1.16478	+	0.378461i
$408$			2.80349i			0.138794i
$409$	−28.4566			−1.40709			−0.703545	−	0.710650i	$-0.748401\pi$
$409$	−28.4566			−1.40709			−0.703545	+	0.710650i	$0.748401\pi$
$410$	−10.6569	+	12.7122i	−0.526305	+	0.627811i
$411$	−4.48084	−	13.7906i	−0.221024	−	0.680241i
$412$	3.97920	−	1.29292i	0.196041	−	0.0636976i
$413$	1.52097	+	2.09343i	0.0748420	+	0.103011i
$414$	2.16528	−	6.66404i	0.106418	−	0.327520i
$415$	−25.9312	+	6.47803i	−1.27291	+	0.317994i
$416$	4.46267	+	3.24232i	0.218801	+	0.158968i
$417$	−9.78709	+	3.18002i	−0.479276	+	0.155726i
$418$	−0.741728	+	1.02090i	−0.0362791	+	0.0499339i
$419$	−3.64419	−	2.64766i	−0.178030	−	0.129347i	0.495201	−	0.868778i	$-0.335094\pi$
$419$	−3.64419	−	2.64766i	−0.178030	−	0.129347i	−0.673232	+	0.739432i	$0.735094\pi$
$420$	1.39670	+	0.0970222i	0.0681518	+	0.00473420i
$421$	11.2914	+	8.20367i	0.550308	+	0.399822i	0.827899	−	0.560877i	$-0.189536\pi$
$421$	11.2914	+	8.20367i	0.550308	+	0.399822i	−0.277591	+	0.960699i	$0.589536\pi$
$422$	8.55535	+	11.7754i	0.416468	+	0.573219i
$423$	−3.06562	−	0.996081i	−0.149056	−	0.0484311i
$424$	−7.08419	+	5.14696i	−0.344039	+	0.249959i
$425$	−12.6045	−	6.13328i	−0.611406	−	0.297508i
$426$	−0.913186	−	2.81050i	−0.0442440	−	0.136169i
$427$	−5.83382	−	1.89552i	−0.282318	−	0.0917308i
$428$		−	5.41776i		−	0.261877i
$429$	−15.6638			−0.756256
$430$	−0.340688	−	0.285605i	−0.0164295	−	0.0137731i
$431$	−8.23861	−	5.98570i	−0.396840	−	0.288321i	0.371413	−	0.928468i	$-0.378873\pi$
$431$	−8.23861	−	5.98570i	−0.396840	−	0.288321i	−0.768253	+	0.640147i	$0.778873\pi$
$432$	−0.587785	−	0.809017i	−0.0282798	−	0.0389238i
$433$		−	38.1792i		−	1.83477i	−0.397997	−	0.917387i	$-0.630294\pi$
$433$		−	38.1792i		−	1.83477i	0.397997	−	0.917387i	$-0.369706\pi$
$434$	2.84298	+	2.01756i	0.136467	+	0.0968460i
$435$	−1.97583	−	0.797231i	−0.0947336	−	0.0382243i
$436$	−1.58978	+	1.15504i	−0.0761365	+	0.0553164i
$437$	1.83027	−	2.51915i	0.0875538	−	0.120507i
$438$	7.85409	+	2.55195i	0.375283	+	0.121937i
$439$	−26.9046			−1.28409			−0.642044	−	0.766668i	$-0.721913\pi$
$439$	−26.9046			−1.28409			−0.642044	+	0.766668i	$0.721913\pi$
$440$	5.88832	+	2.37589i	0.280714	+	0.113266i
$441$	−2.04197	+	6.28455i	−0.0972368	+	0.299264i
$442$	−14.7077	+	4.77881i	−0.699572	+	0.227305i
$443$	22.5161	−	7.31591i	1.06977	−	0.347590i	0.279372	−	0.960183i	$-0.409874\pi$
$443$	22.5161	−	7.31591i	1.06977	−	0.347590i	0.790398	+	0.612593i	$0.209874\pi$
$444$	−7.03937	+	5.11440i	−0.334074	+	0.242719i
$445$	−17.6795	−	14.8211i	−0.838091	−	0.702586i
$446$	−20.6684	+	15.0165i	−0.978676	+	0.711050i
$447$	6.62073	−	9.11266i	0.313150	−	0.431014i
$448$	−0.595482	+	0.193484i	−0.0281339	+	0.00914125i
$449$	−0.522898	−	0.379908i	−0.0246771	−	0.0179289i	0.575378	−	0.817887i	$-0.304855\pi$
$449$	−0.522898	−	0.379908i	−0.0246771	−	0.0179289i	−0.600055	+	0.799958i	$0.704855\pi$
$450$	4.92324	−	0.872762i	0.232084	−	0.0411424i
$451$	6.50964	+	20.0346i	0.306527	+	0.943393i
$452$	−2.34379	+	3.22595i	−0.110243	+	0.151736i
$453$	−3.49111	−	4.80510i	−0.164027	−	0.225764i
$454$	3.84265	−	11.8265i	0.180345	−	0.555044i
$455$	1.87180	+	7.49271i	0.0877512	+	0.351264i
$456$	−0.137325	−	0.422642i	−0.00643081	−	0.0197920i
$457$	1.57909	−	0.513077i	0.0738667	−	0.0240007i	−0.271851	−	0.962339i	$-0.587636\pi$
$457$	1.57909	−	0.513077i	0.0738667	−	0.0240007i	0.345717	+	0.938339i	$0.387636\pi$
$458$	−4.05545	−	1.31770i	−0.189499	−	0.0615719i
$459$	2.80349			0.130856
$460$	−14.5299	−	5.86270i	−0.677460	−	0.273350i
$461$	3.96978	−	12.2177i	0.184891	−	0.569036i	−0.815055	−	0.579383i	$-0.803294\pi$
$461$	3.96978	−	12.2177i	0.184891	−	0.569036i	0.999946	+	0.0103468i	$0.00329355\pi$
$462$	1.04506	−	1.43840i	0.0486205	−	0.0669204i
$463$	−16.7017	−	22.9880i	−0.776196	−	1.06834i	−0.995691	−	0.0927285i	$-0.970441\pi$
$463$	−16.7017	−	22.9880i	−0.776196	−	1.06834i	0.219496	−	0.975613i	$-0.429559\pi$
$464$	0.952834			0.0442342
$465$	11.5966	+	4.52966i	0.537782	+	0.210058i
$466$	17.5443			0.812724
$467$	14.3742	+	19.7844i	0.665158	+	0.915511i	0.999638	−	0.0268917i	$-0.00856092\pi$
$467$	14.3742	+	19.7844i	0.665158	+	0.915511i	−0.334481	+	0.942403i	$0.608561\pi$
$468$	3.24232	−	4.46267i	0.149876	−	0.206287i
$469$	−2.60367	+	8.01327i	−0.120226	+	0.370018i
$470$	−2.69699	+	6.68411i	−0.124403	+	0.308315i
$471$	−17.3987			−0.801691
$472$	−3.93048	−	1.27709i	−0.180915	−	0.0587828i
$473$	−0.536929	+	0.174459i	−0.0246880	+	0.00802163i
$474$	−1.09897	−	3.38230i	−0.0504776	−	0.155354i
$475$	2.20062	+	0.307216i	0.100971	+	0.0140961i
$476$	0.542431	−	1.66943i	0.0248623	−	0.0765182i
$477$	5.14696	+	7.08419i	0.235663	+	0.324363i
$478$	2.68489	−	3.69543i	0.122804	−	0.169025i
$479$	−4.37234	−	13.4567i	−0.199777	−	0.614851i	−0.999888	−	0.0149982i	$-0.995226\pi$
$479$	−4.37234	−	13.4567i	−0.199777	−	0.614851i	0.800110	−	0.599853i	$-0.204774\pi$
$480$	−1.89575	+	1.18581i	−0.0865287	+	0.0541244i
$481$	−38.8304	−	28.2119i	−1.77051	−	1.28635i
$482$	−15.9251	+	5.17438i	−0.725369	+	0.235687i
$483$	−2.57877	+	3.54937i	−0.117338	+	0.161502i
$484$	−2.37574	+	1.72607i	−0.107988	+	0.0784579i
$485$	−9.95992	+	11.8808i	−0.452257	+	0.539481i
$486$	−0.809017	+	0.587785i	−0.0366978	+	0.0266625i
$487$	28.7323	−	9.33570i	1.30199	−	0.423041i	0.425714	−	0.904858i	$-0.360023\pi$
$487$	28.7323	−	9.33570i	1.30199	−	0.423041i	0.876272	+	0.481817i	$0.160023\pi$
$488$	9.31732	−	3.02738i	0.421775	−	0.137043i
$489$	−0.852300	+	2.62311i	−0.0385424	+	0.118621i
$490$	13.7025	+	5.52884i	0.619015	+	0.249768i
$491$	20.3649			0.919056			0.459528	−	0.888163i	$-0.348019\pi$
$491$	20.3649			0.919056			0.459528	+	0.888163i	$0.348019\pi$
$492$	−7.05539	−	2.29243i	−0.318082	−	0.103351i
$493$	−1.57013	+	2.16110i	−0.0707151	+	0.0973310i
$494$	1.98318	−	1.44086i	0.0892273	−	0.0648274i
$495$	2.37589	−	5.88832i	0.106788	−	0.264660i
$496$	−5.56742	+	0.0620001i	−0.249984	+	0.00278389i
$497$			1.85029i			0.0829967i
$498$	−7.02591	−	9.67034i	−0.314839	−	0.433338i
$499$	−18.1397	−	13.1793i	−0.812044	−	0.589985i	0.102378	−	0.994746i	$-0.467355\pi$
$499$	−18.1397	−	13.1793i	−0.812044	−	0.589985i	−0.914423	+	0.404761i	$0.867355\pi$
$500$	−1.18398	−	11.1175i	−0.0529491	−	0.497188i
$501$	−21.9234			−0.979465
$502$		−	22.1951i		−	0.990614i
$503$	22.3153	+	7.25068i	0.994991	+	0.323292i	0.760862	−	0.648914i	$-0.224776\pi$
$503$	22.3153	+	7.25068i	0.994991	+	0.323292i	0.234128	+	0.972206i	$0.424776\pi$
$504$	0.193484	+	0.595482i	0.00861846	+	0.0265249i
$505$	5.58476	+	0.387948i	0.248518	+	0.0172634i
$506$	−16.0971	+	11.6953i	−0.715605	+	0.519917i
$507$	16.5751	+	5.38558i	0.736127	+	0.239182i
$508$	−6.64051	−	9.13987i	−0.294625	−	0.405516i
$509$	4.49855	+	3.26839i	0.199395	+	0.144869i	0.683002	−	0.730416i	$-0.260674\pi$
$509$	4.49855	+	3.26839i	0.199395	+	0.144869i	−0.483608	+	0.875285i	$0.660674\pi$
$510$	0.434418	−	6.25373i	0.0192364	−	0.276920i
$511$	−4.18321	−	3.03928i	−0.185054	−	0.134450i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	−0.422642	+	0.137325i	−0.0186601	+	0.00606303i
$514$	14.9728	+	10.8783i	0.660420	+	0.479823i
$515$	−9.07672	+	2.26751i	−0.399968	+	0.0999183i
$516$	0.0614375	−	0.189085i	0.00270463	−	0.00832401i
$517$	5.38010	+	7.40508i	0.236617	+	0.325675i
$518$	5.18138	−	1.68353i	0.227657	−	0.0739701i
$519$	−4.83973	−	14.8952i	−0.212441	−	0.653825i
$520$	−9.45243	−	7.92414i	−0.414517	−	0.347497i
$521$	33.1436			1.45205			0.726023	−	0.687670i	$-0.241366\pi$
$521$	33.1436			1.45205			0.726023	+	0.687670i	$0.241366\pi$
$522$		−	0.952834i		−	0.0417044i
$523$	16.7417	+	5.43972i	0.732065	+	0.237862i	0.651246	−	0.758867i	$-0.274247\pi$
$523$	16.7417	+	5.43972i	0.732065	+	0.237862i	0.0808185	+	0.996729i	$0.474247\pi$
$524$	12.9098	+	9.37950i	0.563966	+	0.409746i
$525$	−3.10057	−	0.432853i	−0.135320	−	0.0188913i
$526$	18.6358			0.812560
$527$	9.03366	−	12.7295i	0.393513	−	0.554505i
$528$			2.83962i			0.123578i
$529$	21.1136	−	15.3399i	0.917981	−	0.666952i
$530$	16.6002	−	10.3836i	0.721066	−	0.451033i
$531$	−1.27709	+	3.93048i	−0.0554210	+	0.170568i
$532$			0.278246i			0.0120635i
$533$		−	40.9216i		−	1.77251i
$534$	3.18821	−	9.81231i	0.137967	−	0.424620i
$535$	−0.839515	+	12.0854i	−0.0362954	+	0.522496i
$536$	−4.15837	−	12.7982i	−0.179614	−	0.552796i
$537$	0.375994	+	0.517511i	0.0162253	+	0.0223322i
$538$	3.48762	+	1.13320i	0.150362	+	0.0488556i
$539$	15.1805	−	11.0293i	0.653869	−	0.475064i
$540$	1.18581	+	1.89575i	0.0510290	+	0.0815800i
$541$	−9.08143	−	27.9498i	−0.390441	−	1.20165i	−0.932455	−	0.361285i	$-0.882338\pi$
$541$	−9.08143	−	27.9498i	−0.390441	−	1.20165i	0.542014	−	0.840369i	$-0.317662\pi$
$542$	9.67033	−	13.3101i	0.415376	−	0.571716i
$543$	−7.22330	+	9.94202i	−0.309982	+	0.426653i
$544$	0.866327	+	2.66628i	0.0371435	+	0.114316i
$545$	3.72528	−	2.33019i	0.159574	−	0.0998146i
$546$	−2.79420	+	2.03010i	−0.119581	+	0.0868805i
$547$	−15.5924	−	5.06627i	−0.666682	−	0.216618i	−0.0439265	−	0.999035i	$-0.513987\pi$
$547$	−15.5924	−	5.06627i	−0.666682	−	0.216618i	−0.622755	+	0.782417i	$0.713987\pi$
$548$	−8.52307	−	11.7310i	−0.364088	−	0.501124i
$549$	−3.02738	−	9.31732i	−0.129205	−	0.397653i
$550$	−12.7669	−	6.21231i	−0.544381	−	0.264894i
$551$	0.130848	−	0.402708i	0.00557430	−	0.0171559i
$552$		−	7.00698i		−	0.298237i
$553$			2.22673i			0.0946902i
$554$	0.632684	−	1.94720i	0.0268802	−	0.0827287i
$555$	16.4952	−	10.3179i	0.700182	−	0.437969i
$556$	−8.32539	+	6.04875i	−0.353075	+	0.256524i
$557$		−	35.4577i		−	1.50239i	−0.660079	−	0.751196i	$-0.729477\pi$
$557$		−	35.4577i		−	1.50239i	0.660079	−	0.751196i	$-0.270523\pi$
$558$	0.0620001	+	5.56742i	0.00262467	+	0.235688i
$559$	1.09670			0.0463855
$560$	1.35832	−	0.339329i	0.0573994	−	0.0143393i
$561$	−6.44046	−	4.67927i	−0.271917	−	0.197559i
$562$	1.80695	+	0.587115i	0.0762217	+	0.0247659i
$563$		−	8.39945i		−	0.353995i	−0.984211	−	0.176997i	$-0.943362\pi$
$563$		−	8.39945i		−	0.353995i	0.984211	−	0.176997i	$-0.0566384\pi$
$564$	−3.22338			−0.135729
$565$	5.72815	−	6.83291i	0.240985	−	0.287463i
$566$	3.63150	+	11.1766i	0.152643	+	0.469788i
$567$	0.595482	−	0.193484i	0.0250079	−	0.00812556i
$568$	−1.73698	−	2.39075i	−0.0728822	−	0.100314i
$569$	−2.09660	+	6.45266i	−0.0878939	+	0.270510i	−0.985337	−	0.170621i	$-0.945423\pi$
$569$	−2.09660	+	6.45266i	−0.0878939	+	0.270510i	0.897443	+	0.441131i	$0.145423\pi$
$570$	0.240838	+	0.964063i	0.0100876	+	0.0403802i
$571$	18.5152	+	13.4521i	0.774838	+	0.562952i	0.903425	−	0.428746i	$-0.141044\pi$
$571$	18.5152	+	13.4521i	0.774838	+	0.562952i	−0.128588	+	0.991698i	$0.541044\pi$
$572$	−14.8972	+	4.84038i	−0.622882	+	0.202387i
$573$	−8.12505	+	11.1832i	−0.339429	+	0.467184i
$574$	3.75781	+	2.73021i	0.156848	+	0.113957i
$575$	31.5033	+	15.3294i	1.31378	+	0.639279i
$576$	−0.809017	−	0.587785i	−0.0337090	−	0.0244911i
$577$	21.5806	+	29.7032i	0.898413	+	1.23656i	0.970971	+	0.239196i	$0.0768837\pi$
$577$	21.5806	+	29.7032i	0.898413	+	1.23656i	−0.0725581	+	0.997364i	$0.523116\pi$
$578$	8.69306	+	2.82455i	0.361584	+	0.117486i
$579$	−3.54106	+	2.57273i	−0.147161	+	0.106919i
$580$	−2.12548	−	0.147647i	−0.0882558	−	0.00613073i
$581$	2.31275	+	7.11791i	0.0959490	+	0.295301i
$582$	−6.59398	−	2.14251i	−0.273329	−	0.0888100i
$583$		−	24.8652i		−	1.02981i
$584$	8.25828			0.341730
$585$	−7.92414	+	9.45243i	−0.327623	+	0.390810i
$586$	−17.2923	−	12.5636i	−0.714337	−	0.518996i
$587$	−8.70014	−	11.9747i	−0.359093	−	0.494249i	0.590803	−	0.806816i	$-0.298811\pi$
$587$	−8.70014	−	11.9747i	−0.359093	−	0.494249i	−0.949896	+	0.312567i	$0.898811\pi$
$588$			6.60797i			0.272508i
$589$	−0.738340	+	2.36154i	−0.0304228	+	0.0973055i
$590$	8.56980	+	3.45785i	0.352813	+	0.142357i
$591$	−21.3735	+	15.5288i	−0.879190	+	0.638769i
$592$	−5.11440	+	7.03937i	−0.210201	+	0.289316i
$593$	−28.4634	−	9.24833i	−1.16885	−	0.379783i	−0.340639	−	0.940194i	$-0.610643\pi$
$593$	−28.4634	−	9.24833i	−1.16885	−	0.379783i	−0.828215	+	0.560411i	$0.810643\pi$
$594$	2.83962			0.116511
$595$	−1.46868	+	3.63993i	−0.0602102	+	0.149223i
$596$	3.48073	−	10.7126i	0.142576	−	0.438804i
$597$	−17.0541	+	5.54122i	−0.697979	+	0.226787i
$598$	36.7599	−	11.9440i	1.50323	−	0.488428i
$599$	14.1802	−	10.3025i	0.579386	−	0.420949i	−0.259117	−	0.965846i	$-0.583431\pi$
$599$	14.1802	−	10.3025i	0.579386	−	0.420949i	0.838503	+	0.544898i	$0.183431\pi$
$600$	4.41258	−	2.35141i	0.180143	−	0.0959959i
$601$	16.1641	−	11.7439i	0.659349	−	0.479045i	−0.207094	−	0.978321i	$-0.566401\pi$
$601$	16.1641	−	11.7439i	0.659349	−	0.479045i	0.866443	+	0.499276i	$0.166401\pi$
$602$	−0.0731698	+	0.100710i	−0.00298218	+	0.00410462i
$603$	−12.7982	+	4.15837i	−0.521181	+	0.169342i
$604$	−4.80510	−	3.49111i	−0.195517	−	0.142051i
$605$	5.56701	−	3.48221i	0.226331	−	0.141572i
$606$	0.773654	+	2.38106i	0.0314276	+	0.0967241i
$607$	−5.03347	+	6.92797i	−0.204302	+	0.281198i	−0.898857	−	0.438242i	$-0.855601\pi$
$607$	−5.03347	+	6.92797i	−0.204302	+	0.281198i	0.694555	+	0.719440i	$0.255601\pi$
$608$	−0.261207	−	0.359521i	−0.0105933	−	0.0145805i
$609$	−0.184358	+	0.567396i	−0.00747057	+	0.0229920i
$610$	−21.2532	+	5.30938i	−0.860516	+	0.214970i
$611$	−5.49455	−	16.9105i	−0.222286	−	0.684125i
$612$	2.66628	−	0.866327i	0.107778	−	0.0350192i
$613$	32.6034	+	10.5935i	1.31684	+	0.427867i	0.881408	−	0.472356i	$-0.156596\pi$
$613$	32.6034	+	10.5935i	1.31684	+	0.427867i	0.435430	+	0.900223i	$0.356596\pi$
$614$	−26.0023			−1.04937
$615$	15.3832	+	6.20699i	0.620310	+	0.250290i
$616$	0.549420	−	1.69094i	0.0221368	−	0.0681300i
$617$	−4.72503	+	6.50344i	−0.190222	+	0.261819i	−0.893467	−	0.449130i	$-0.851734\pi$
$617$	−4.72503	+	6.50344i	−0.190222	+	0.261819i	0.703244	+	0.710948i	$0.251734\pi$
$618$	−2.45928	−	3.38491i	−0.0989268	−	0.136161i
$619$	38.1106			1.53180			0.765898	−	0.642962i	$-0.222295\pi$
$619$	38.1106			1.53180			0.765898	+	0.642962i	$0.222295\pi$
$620$	12.4288	+	0.724402i	0.499153	+	0.0290927i
$621$	−7.00698			−0.281181
$622$	2.94328	+	4.05108i	0.118015	+	0.162433i
$623$	−3.79705	+	5.22618i	−0.152125	+	0.209383i
$624$	1.70459	−	5.24619i	0.0682382	−	0.210016i
$625$	0.918370	+	24.9831i	0.0367348	+	0.999325i
$626$	−22.5847			−0.902665
$627$	1.20014	+	0.389949i	0.0479290	+	0.0155731i
$628$	−16.5472	+	5.37650i	−0.660304	+	0.214546i
$629$	−7.53804	−	23.1997i	−0.300561	−	0.925032i
$630$	−0.339329	−	1.35832i	−0.0135192	−	0.0541167i
$631$	−10.1501	+	31.2388i	−0.404069	+	1.24360i	0.517600	+	0.855623i	$0.326825\pi$
$631$	−10.1501	+	31.2388i	−0.404069	+	1.24360i	−0.921670	+	0.387975i	$0.873175\pi$
$632$	−2.09037	−	2.87715i	−0.0831506	−	0.114447i
$633$	8.55535	−	11.7754i	0.340045	−	0.468031i
$634$	2.35120	+	7.23624i	0.0933780	+	0.287388i
$635$	13.3966	+	21.4172i	0.531630	+	0.849917i
$636$	7.08419	+	5.14696i	0.280906	+	0.204090i
$637$	−34.6666	+	11.2639i	−1.37354	+	0.446291i
$638$	−1.59036	+	2.18895i	−0.0629630	+	0.0866612i
$639$	−2.39075	+	1.73698i	−0.0945767	+	0.0687140i
$640$	−1.43653	+	1.71359i	−0.0567838	+	0.0677355i
$641$	30.9810	−	22.5090i	1.22368	−	0.889053i	0.227276	−	0.973830i	$-0.427018\pi$
$641$	30.9810	−	22.5090i	1.22368	−	0.889053i	0.996400	+	0.0847774i	$0.0270179\pi$
$642$	−5.15260	+	1.67418i	−0.203357	+	0.0660747i
$643$	2.39861	−	0.779357i	0.0945921	−	0.0307348i	−0.261339	−	0.965247i	$-0.584164\pi$
$643$	2.39861	−	0.779357i	0.0945921	−	0.0307348i	0.355931	+	0.934512i	$0.384164\pi$
$644$	−1.35574	+	4.17253i	−0.0534236	+	0.164421i
$645$	−0.166348	+	0.412271i	−0.00654995	+	0.0162331i
$646$	1.24585			0.0490173
$647$	−20.8446	−	6.77282i	−0.819486	−	0.266267i	−0.130876	−	0.991399i	$-0.541779\pi$
$647$	−20.8446	−	6.77282i	−0.819486	−	0.266267i	−0.688610	+	0.725132i	$0.741779\pi$
$648$	−0.587785	+	0.809017i	−0.0230904	+	0.0317812i
$649$	9.49416	−	6.89791i	0.372678	−	0.270767i
$650$	19.8576	+	19.1410i	0.778878	+	0.750773i
$651$	1.04029	−	3.32729i	0.0407720	−	0.130407i
$652$			2.75810i			0.108016i
$653$	−2.46012	−	3.38606i	−0.0962718	−	0.132507i	0.758164	−	0.652064i	$-0.226097\pi$
$653$	−2.46012	−	3.38606i	−0.0962718	−	0.132507i	−0.854435	+	0.519558i	$0.826097\pi$
$654$	1.58978	+	1.15504i	0.0621652	+	0.0451657i
$655$	−27.3443	−	22.9232i	−1.06843	−	0.895685i
$656$	−7.41848			−0.289643
$657$		−	8.25828i		−	0.322186i
$658$	1.91947	+	0.623673i	0.0748286	+	0.0243133i
$659$	8.15454	+	25.0971i	0.317656	+	0.977643i	0.974648	+	0.223746i	$0.0718286\pi$
$659$	8.15454	+	25.0971i	0.317656	+	0.977643i	−0.656992	+	0.753898i	$0.728171\pi$
$660$	0.440016	−	6.33431i	0.0171276	−	0.246563i
$661$	−31.2280	+	22.6885i	−1.21463	+	0.882480i	−0.995643	−	0.0932478i	$-0.970275\pi$
$661$	−31.2280	+	22.6885i	−1.21463	+	0.882480i	−0.218987	+	0.975728i	$0.570275\pi$
$662$	−17.7542	−	5.76871i	−0.690038	−	0.224207i
$663$	9.08983	+	12.5111i	0.353020	+	0.485890i
$664$	−9.67034	−	7.02591i	−0.375282	−	0.272658i
$665$	0.0431159	−	0.620680i	0.00167196	−	0.0240690i
$666$	7.03937	+	5.11440i	0.272770	+	0.198179i
$667$	3.92434	−	5.40140i	0.151951	−	0.209143i
$668$	−20.8504	+	6.77470i	−0.806726	+	0.262121i
$669$	20.6684	+	15.0165i	0.799086	+	0.580570i
$670$	7.29290	+	29.1931i	0.281749	+	1.12783i
$671$	−8.59660	+	26.4576i	−0.331868	+	1.02138i
$672$	0.368028	+	0.506547i	0.0141970	+	0.0195405i
$673$	36.9843	−	12.0169i	1.42564	−	0.463219i	0.508252	−	0.861209i	$-0.330292\pi$
$673$	36.9843	−	12.0169i	1.42564	−	0.463219i	0.917390	+	0.397989i	$0.130292\pi$
$674$	4.29771	+	13.2270i	0.165542	+	0.509485i
$675$	−2.35141	−	4.41258i	−0.0905058	−	0.169840i
$676$	17.4281			0.670312
$677$			1.57313i			0.0604603i	0.999543	+	0.0302301i	$0.00962402\pi$
$677$			1.57313i			0.0604603i	−0.999543	+	0.0302301i	$0.990376\pi$
$678$	3.79233	+	1.23220i	0.145644	+	0.0473225i
$679$	3.51205	+	2.55166i	0.134780	+	0.0979236i
$680$	−1.51935	−	6.08190i	−0.0582645	−	0.233230i
$681$	−12.4351			−0.476514
$682$	9.15006	−	12.8935i	0.350374	−	0.493718i
$683$			15.2756i			0.584504i	0.956341	+	0.292252i	$0.0944046\pi$
$683$			15.2756i			0.584504i	−0.956341	+	0.292252i	$0.905595\pi$
$684$	−0.359521	+	0.261207i	−0.0137466	+	0.00998750i
$685$	17.1946	+	27.4890i	0.656970	+	1.05030i
$686$	2.63292	−	8.10330i	0.100525	−	0.309385i
$687$			4.26416i			0.162688i
$688$		−	0.198816i		−	0.00757978i
$689$	−14.9263	+	45.9384i	−0.568647	+	1.75012i
$690$	−1.08577	+	15.6304i	−0.0413347	+	0.595040i
$691$	−12.4257	−	38.2424i	−0.472697	−	1.45481i	−0.849039	−	0.528330i	$-0.822818\pi$
$691$	−12.4257	−	38.2424i	−0.472697	−	1.45481i	0.376343	−	0.926481i	$-0.377182\pi$
$692$	−9.20572	−	12.6706i	−0.349949	−	0.481663i
$693$	−1.69094	−	0.549420i	−0.0642335	−	0.0208707i
$694$	−27.3969	+	19.9050i	−1.03997	+	0.755583i
$695$	19.5087	−	12.2028i	0.740007	−	0.462880i
$696$	−0.294442	−	0.906199i	−0.0111608	−	0.0343494i
$697$	12.2246	−	16.8257i	0.463038	−	0.637317i
$698$	−16.7021	+	22.9885i	−0.632183	+	0.870126i
$699$	−5.42149	−	16.6856i	−0.205059	−	0.631108i
$700$	−3.08257	+	0.546460i	−0.116510	+	0.0206542i
$701$	1.35379	−	0.983583i	0.0511318	−	0.0371494i	−0.561926	−	0.827188i	$-0.689939\pi$
$701$	1.35379	−	0.983583i	0.0511318	−	0.0371494i	0.613058	+	0.790038i	$0.289939\pi$
$702$	−5.24619	−	1.70459i	−0.198005	−	0.0643356i
$703$	2.27280	+	3.12824i	0.0857202	+	0.117984i
$704$	0.877490	+	2.70064i	0.0330716	+	0.101784i
$705$	7.19038	+	0.499483i	0.270805	+	0.0188116i
$706$	−3.00099	+	9.23608i	−0.112944	+	0.347605i
$707$		−	1.56757i		−	0.0589545i
$708$			4.13275i			0.155318i
$709$	5.65762	−	17.4124i	0.212476	−	0.653935i	−0.786847	−	0.617148i	$-0.788288\pi$
$709$	5.65762	−	17.4124i	0.212476	−	0.653935i	0.999323	−	0.0367866i	$-0.0117122\pi$
$710$	3.50421	+	5.60219i	0.131511	+	0.210246i
$711$	−2.87715	+	2.09037i	−0.107902	+	0.0783951i
$712$		−	10.3173i		−	0.386656i
$713$	−22.5785	+	31.8158i	−0.845572	+	1.19151i
$714$	−1.75534			−0.0656921
$715$	33.9810	−	8.48900i	1.27082	−	0.317471i
$716$	0.517511	+	0.375994i	0.0193403	+	0.0140515i
$717$	−4.34424	−	1.41153i	−0.162239	−	0.0527146i
$718$		−	2.38292i		−	0.0889297i
$719$	29.8194			1.11207			0.556037	−	0.831158i	$-0.312321\pi$
$719$	29.8194			1.11207			0.556037	+	0.831158i	$0.312321\pi$
$720$	1.71359	+	1.43653i	0.0638616	+	0.0535363i
$721$	0.809533	+	2.49149i	0.0301486	+	0.0927878i
$722$	17.8823	−	5.81030i	0.665509	−	0.216237i
$723$	9.84226	+	13.5467i	0.366038	+	0.503808i
$724$	−3.79751	+	11.6875i	−0.141134	+	0.434364i
$725$	4.71841	+	0.658712i	0.175238	+	0.0244640i
$726$	2.37574	+	1.72607i	0.0881719	+	0.0640606i
$727$	−10.4211	+	3.38602i	−0.386497	+	0.125580i	−0.495819	−	0.868426i	$-0.665132\pi$
$727$	−10.4211	+	3.38602i	−0.386497	+	0.125580i	0.109322	+	0.994006i	$0.465132\pi$
$728$	−2.03010	+	2.79420i	−0.0752407	+	0.103560i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	−18.4217	−	1.27967i	−0.681817	−	0.0473627i
$731$	0.450929	+	0.327619i	0.0166782	+	0.0121174i
$732$	−5.75842	−	7.92578i	−0.212837	−	0.292945i
$733$	41.1918	+	13.3840i	1.52146	+	0.494351i	0.946189	−	0.323615i	$-0.104898\pi$
$733$	41.1918	+	13.3840i	1.52146	+	0.494351i	0.575267	+	0.817966i	$0.304898\pi$
$734$	24.3339	−	17.6796i	0.898181	−	0.652567i
$735$	1.02394	−	14.7403i	0.0377688	−	0.543706i
$736$	−2.16528	−	6.66404i	−0.0798132	−	0.245640i
$737$	36.3419	+	11.8082i	1.33867	+	0.434960i
$738$			7.41848i			0.273078i
$739$	−7.36957			−0.271094			−0.135547	−	0.990771i	$-0.543279\pi$
$739$	−7.36957			−0.271094			−0.135547	+	0.990771i	$0.543279\pi$
$740$	12.4995	−	14.9102i	0.459489	−	0.548109i
$741$	−1.98318	−	1.44086i	−0.0728538	−	0.0529314i
$742$	−3.22265	−	4.43560i	−0.118307	−	0.162836i
$743$		−	33.7721i		−	1.23898i	−0.785005	−	0.619490i	$-0.787340\pi$
$743$		−	33.7721i		−	1.23898i	0.785005	−	0.619490i	$-0.212660\pi$
$744$	1.77939	+	5.27577i	0.0652357	+	0.193419i
$745$	−9.42441	+	23.3571i	−0.345284	+	0.855738i
$746$	19.7274	−	14.3328i	0.722273	−	0.524762i
$747$	−7.02591	+	9.67034i	−0.257065	+	0.353819i
$748$	−7.57122	−	2.46004i	−0.276831	−	0.0899479i
$749$	3.39221			0.123949
$750$	−10.2075	+	4.56152i	−0.372724	+	0.166563i
$751$	5.81924	−	17.9098i	0.212347	−	0.653537i	−0.786984	−	0.616973i	$-0.788359\pi$
$751$	5.81924	−	17.9098i	0.212347	−	0.653537i	0.999331	−	0.0365638i	$-0.0116412\pi$
$752$	−3.06562	+	0.996081i	−0.111792	+	0.0363233i
$753$	−21.1088	+	6.85865i	−0.769246	+	0.249943i
$754$	4.25219	−	3.08940i	0.154856	−	0.112509i
$755$	10.1777	+	8.53218i	0.370406	+	0.310518i
$756$	0.506547	−	0.368028i	0.0184229	−	0.0133851i
$757$	−13.4808	+	18.5548i	−0.489969	+	0.674384i	−0.980382	−	0.197106i	$-0.936846\pi$
$757$	−13.4808	+	18.5548i	−0.489969	+	0.674384i	0.490413	+	0.871490i	$0.336846\pi$
$758$	21.6966	−	7.04964i	0.788055	−	0.256054i
$759$	16.0971	+	11.6953i	0.584289	+	0.424511i
$760$	0.526962	+	0.842455i	0.0191149	+	0.0305591i
$761$	1.02582	+	3.15714i	0.0371858	+	0.114446i	0.967926	−	0.251234i	$-0.0808364\pi$
$761$	1.02582	+	3.15714i	0.0371858	+	0.114446i	−0.930741	+	0.365680i	$0.880836\pi$
$762$	−6.64051	+	9.13987i	−0.240560	+	0.331103i
$763$	−0.723202	−	0.995402i	−0.0261817	−	0.0360360i
$764$	−4.27159	+	13.1466i	−0.154541	+	0.475627i
$765$	−6.08190	+	1.51935i	−0.219891	+	0.0549323i
$766$	2.08884	+	6.42880i	0.0754730	+	0.232282i
$767$	−21.6812	+	7.04464i	−0.782862	+	0.254367i
$768$	−0.951057	−	0.309017i	−0.0343183	−	0.0111507i
$769$	−19.9298			−0.718689			−0.359344	−	0.933205i	$-0.617000\pi$
$769$	−19.9298			−0.718689			−0.359344	+	0.933205i	$0.617000\pi$
$770$	−1.48761	+	3.68683i	−0.0536097	+	0.132864i
$771$	5.71909	−	17.6015i	0.205968	−	0.633904i
$772$	−2.57273	+	3.54106i	−0.0925946	+	0.127446i
$773$	−1.71795	−	2.36455i	−0.0617903	−	0.0850471i	0.777003	−	0.629496i	$-0.216739\pi$
$773$	−1.71795	−	2.36455i	−0.0617903	−	0.0850471i	−0.838794	+	0.544449i	$0.816739\pi$
$774$	−0.198816			−0.00714629
$775$	−27.6126	−	3.54184i	−0.991874	−	0.127227i
$776$	−6.93332			−0.248892
$777$	−3.20227	−	4.40754i	−0.114881	−	0.158120i
$778$	20.0418	−	27.5851i	0.718533	−	0.988975i
$779$	−1.01874	+	3.13536i	−0.0365001	+	0.112336i
$780$	−4.61534	+	11.4385i	−0.165256	+	0.409564i
$781$	8.39144			0.300269
$782$	18.6826	+	6.07034i	0.668088	+	0.217075i
$783$	−0.906199	+	0.294442i	−0.0323849	+	0.0105225i
$784$	2.04197	+	6.28455i	0.0729276	+	0.224448i
$785$	37.7448	−	9.42924i	1.34717	−	0.336544i
$786$	4.93110	−	15.1764i	0.175886	−	0.541323i
$787$	−0.868159	−	1.19492i	−0.0309465	−	0.0425942i	0.793263	−	0.608879i	$-0.208380\pi$
$787$	−0.868159	−	1.19492i	−0.0309465	−	0.0425942i	−0.824210	+	0.566284i	$0.808380\pi$
$788$	−15.5288	+	21.3735i	−0.553190	+	0.761401i
$789$	−5.75878	−	17.7237i	−0.205018	−	0.630981i
$790$	4.21715	+	6.74196i	0.150039	+	0.239868i
$791$	−2.01985	−	1.46751i	−0.0718177	−	0.0521786i
$792$	2.70064	−	0.877490i	0.0959629	−	0.0311802i
$793$	31.7644	−	43.7199i	1.12799	−	1.55254i
$794$	27.6663	−	20.1008i	0.981842	−	0.713350i
$795$	−15.0051	−	12.5790i	−0.532176	−	0.446132i
$796$	−14.5071	+	10.5400i	−0.514191	+	0.373581i
$797$	10.9553	−	3.55959i	0.388056	−	0.126087i	−0.108490	−	0.994098i	$-0.534602\pi$
$797$	10.9553	−	3.55959i	0.388056	−	0.126087i	0.496546	+	0.868011i	$0.334602\pi$
$798$	0.264627	−	0.0859826i	0.00936771	−	0.00304375i
$799$	2.79251	−	8.59445i	0.0987917	−	0.304050i
$800$	3.46999	−	3.59989i	0.122683	−	0.127275i
$801$	−10.3173			−0.364543
$802$	30.7377	+	9.98728i	1.08539	+	0.352663i
$803$	−13.7838	+	18.9717i	−0.486419	+	0.669498i
$804$	−10.8868	+	7.90969i	−0.383946	+	0.278953i
$805$	3.67079	−	9.09756i	0.129378	−	0.320647i
$806$	−24.6445	+	18.3281i	−0.868067	+	0.645578i
$807$		−	3.66710i		−	0.129088i
$808$	1.47158	+	2.02545i	0.0517699	+	0.0712552i
$809$	2.65290	+	1.92744i	0.0932709	+	0.0677653i	0.633443	−	0.773789i	$-0.281641\pi$
$809$	2.65290	+	1.92744i	0.0932709	+	0.0677653i	−0.540172	+	0.841554i	$0.681641\pi$
$810$	1.43653	−	1.71359i	0.0504745	−	0.0602093i
$811$	−16.7317			−0.587531			−0.293765	−	0.955878i	$-0.594908\pi$
$811$	−16.7317			−0.587531			−0.293765	+	0.955878i	$0.594908\pi$
$812$			0.596595i			0.0209364i
$813$	−15.6469	−	5.08399i	−0.548762	−	0.178303i
$814$	−7.63517	−	23.4986i	−0.267612	−	0.823627i
$815$	0.427385	−	6.15248i	0.0149706	−	0.215512i
$816$	2.26807	−	1.64785i	0.0793985	−	0.0576864i
$817$	−0.0840279	−	0.0273023i	−0.00293976	−	0.000955187i
$818$	16.7264	+	23.0219i	0.584825	+	0.804942i
$819$	2.79420	+	2.03010i	0.0976372	+	0.0709376i
$820$	16.5483	+	1.14954i	0.577893	+	0.0401436i
$821$	27.1890	+	19.7540i	0.948903	+	0.689418i	0.950547	−	0.310581i	$-0.100523\pi$
$821$	27.1890	+	19.7540i	0.948903	+	0.689418i	−0.00164445	+	0.999999i	$0.500523\pi$
$822$	−8.52307	+	11.7310i	−0.297276	+	0.409166i
$823$	−41.4366	+	13.4636i	−1.44439	+	0.469310i	−0.923262	−	0.384170i	$-0.874488\pi$
$823$	−41.4366	+	13.4636i	−1.44439	+	0.469310i	−0.521126	+	0.853480i	$0.674488\pi$
$824$	−3.38491	−	2.45928i	−0.117919	−	0.0856731i
$825$	−1.96308	+	14.0617i	−0.0683457	+	0.489566i
$826$	0.799620	−	2.46098i	0.0278223	−	0.0856284i
$827$	18.5658	+	25.5536i	0.645596	+	0.888586i	0.998899	−	0.0469229i	$-0.0149415\pi$
$827$	18.5658	+	25.5536i	0.645596	+	0.888586i	−0.353303	+	0.935509i	$0.614942\pi$
$828$	−6.66404	+	2.16528i	−0.231591	+	0.0752486i
$829$	−6.24700	−	19.2263i	−0.216967	−	0.667756i	−0.999008	−	0.0445291i	$-0.985821\pi$
$829$	−6.24700	−	19.2263i	−0.216967	−	0.667756i	0.782041	−	0.623227i	$-0.214179\pi$
$830$	20.4828	+	17.1711i	0.710970	+	0.596018i
$831$	−2.04741			−0.0710238
$832$		−	5.51617i		−	0.191239i
$833$	−17.6187	−	5.72466i	−0.610452	−	0.198348i
$834$	8.32539	+	6.04875i	0.288285	+	0.209451i
$835$	47.5606	−	11.8814i	1.64590	−	0.411172i
$836$	1.26190			0.0436438
$837$	5.27577	−	1.77939i	0.182357	−	0.0615048i
$838$			4.50446i			0.155604i
$839$	7.72997	−	5.61615i	0.266868	−	0.193891i	−0.446301	−	0.894883i	$-0.647259\pi$
$839$	7.72997	−	5.61615i	0.266868	−	0.193891i	0.713169	+	0.700992i	$0.247259\pi$
$840$	−0.742465	−	1.18698i	−0.0256175	−	0.0409547i
$841$	−8.68094	+	26.7172i	−0.299343	+	0.921282i
$842$		−	13.9569i		−	0.480987i
$843$		−	1.89994i		−	0.0654375i
$844$	4.49782	−	13.8429i	0.154821	−	0.476491i
$845$	−38.8767	−	2.70059i	−1.33740	−	0.0929032i
$846$	0.996081	+	3.06562i	0.0342460	+	0.105398i
$847$	−1.08074	−	1.48751i	−0.0371347	−	0.0511116i
$848$	8.32796	+	2.70592i	0.285983	+	0.0929216i
$849$	9.50739	−	6.90752i	0.326293	−	0.237066i
$850$	2.44678	+	13.8023i	0.0839240	+	0.473414i
$851$	18.8404	+	57.9847i	0.645840	+	1.98769i
$852$	−1.73698	+	2.39075i	−0.0595080	+	0.0819058i
$853$	8.08704	−	11.1309i	0.276895	−	0.381113i	−0.647807	−	0.761804i	$-0.724314\pi$
$853$	8.08704	−	11.1309i	0.276895	−	0.381113i	0.924702	+	0.380691i	$0.124314\pi$
$854$	1.89552	+	5.83382i	0.0648635	+	0.199629i
$855$	0.842455	−	0.526962i	0.0288114	−	0.0180217i
$856$	−4.38306	+	3.18448i	−0.149810	+	0.108843i
$857$	−46.4927	−	15.1064i	−1.58816	−	0.516024i	−0.624018	−	0.781410i	$-0.714501\pi$
$857$	−46.4927	−	15.1064i	−1.58816	−	0.516024i	−0.964142	+	0.265386i	$0.914501\pi$
$858$	9.20695	+	12.6723i	0.314320	+	0.432625i
$859$	5.07905	+	15.6317i	0.173295	+	0.533347i	0.999551	−	0.0299471i	$-0.00953388\pi$
$859$	5.07905	+	15.6317i	0.173295	+	0.533347i	−0.826257	+	0.563294i	$0.809534\pi$
$860$	−0.0308077	+	0.443497i	−0.00105053	+	0.0151231i
$861$	1.43536	−	4.41757i	0.0489168	−	0.150550i
$862$			10.1835i			0.346851i
$863$			42.7419i			1.45495i	0.686134	+	0.727475i	$0.259306\pi$
$863$			42.7419i			1.45495i	−0.686134	+	0.727475i	$0.740694\pi$
$864$	−0.309017	+	0.951057i	−0.0105130	+	0.0323556i
$865$	18.5717	+	29.6907i	0.631458	+	1.00951i
$866$	−30.8876	+	22.4412i	−1.04960	+	0.762581i
$867$		−	9.14042i		−	0.310425i
$868$	−0.0388199	−	3.48591i	−0.00131763	−	0.118320i
$869$	10.0987			0.342575
$870$	0.516389	+	2.06708i	0.0175072	+	0.0700805i
$871$	−60.0532	−	43.6312i	−2.03482	−	1.47839i
$872$	1.86890	+	0.607241i	0.0632888	+	0.0205638i
$873$			6.93332i			0.234657i
$874$	−3.11385			−0.105327
$875$	6.96095	−	0.741320i	0.235323	−	0.0250612i
$876$	−2.55195	−	7.85409i	−0.0862224	−	0.265365i
$877$	48.7470	−	15.8389i	1.64607	−	0.534841i	0.668187	−	0.743993i	$-0.267071\pi$
$877$	48.7470	−	15.8389i	1.64607	−	0.534841i	0.977883	+	0.209153i	$0.0670706\pi$
$878$	15.8141	+	21.7663i	0.533701	+	0.734577i
$879$	−6.60505	+	20.3283i	−0.222783	+	0.685655i
$880$	−1.53893	−	6.16026i	−0.0518773	−	0.207662i
$881$	−40.1101	−	29.1417i	−1.35134	−	0.981809i	−0.998943	−	0.0459602i	$-0.985365\pi$
$881$	−40.1101	−	29.1417i	−1.35134	−	0.981809i	−0.352401	−	0.935849i	$-0.614635\pi$
$882$	6.28455	−	2.04197i	0.211612	−	0.0687568i
$883$	−16.9861	+	23.3794i	−0.571628	+	0.786779i	−0.992746	−	0.120227i	$-0.961638\pi$
$883$	−16.9861	+	23.3794i	−0.571628	+	0.786779i	0.421118	+	0.907006i	$0.361638\pi$
$884$	12.5111	+	9.08983i	0.420793	+	0.305724i
$885$	0.640395	−	9.21889i	0.0215266	−	0.309890i
$886$	−19.1533	−	13.9157i	−0.643468	−	0.467507i
$887$	−7.84996	−	10.8045i	−0.263576	−	0.362781i	0.656632	−	0.754211i	$-0.271980\pi$
$887$	−7.84996	−	10.8045i	−0.263576	−	0.362781i	−0.920208	+	0.391430i	$0.871980\pi$
$888$	8.27528	+	2.68880i	0.277700	+	0.0902303i
$889$	5.72272	−	4.15780i	0.191934	−	0.139448i
$890$	−1.59872	+	23.0147i	−0.0535893	+	0.771453i
$891$	−0.877490	−	2.70064i	−0.0293970	−	0.0904747i
$892$	24.2971	+	7.89462i	0.813528	+	0.264331i
$893$			1.43245i			0.0479350i
$894$	−11.2639			−0.376720
$895$	−1.09615	−	0.918918i	−0.0366401	−	0.0307160i
$896$	0.506547	+	0.368028i	0.0169226	+	0.0122950i
$897$	−22.7189	−	31.2699i	−0.758562	−	1.04407i
$898$			0.646337i			0.0215686i
$899$	−1.58310	+	5.06345i	−0.0527993	+	0.168875i
$900$	−3.59989	−	3.46999i	−0.119996	−	0.115666i
$901$	−19.8605	+	14.4295i	−0.661648	+	0.480716i
$902$	12.3821	−	17.0425i	0.412278	−	0.567452i
$903$	0.118391	+	0.0384677i	0.00393982	+	0.00128012i
$904$	3.98749			0.132622
$905$	10.2821	−	25.4829i	0.341790	−	0.847079i
$906$	−1.83539	+	5.64874i	−0.0609766	+	0.187667i
$907$	−25.1299	+	8.16520i	−0.834425	+	0.271121i	−0.694908	−	0.719099i	$-0.744555\pi$
$907$	−25.1299	+	8.16520i	−0.834425	+	0.271121i	−0.139517	+	0.990220i	$0.544555\pi$
$908$	−11.8265	+	3.84265i	−0.392475	+	0.127523i
$909$	2.02545	−	1.47158i	0.0671801	−	0.0488092i
$910$	4.96152	−	5.91842i	0.164473	−	0.196194i
$911$	−44.6804	+	32.4622i	−1.48033	+	1.07552i	−0.502878	+	0.864357i	$0.667726\pi$
$911$	−44.6804	+	32.4622i	−1.48033	+	1.07552i	−0.977450	+	0.211165i	$0.932274\pi$
$912$	−0.261207	+	0.359521i	−0.00864943	+	0.0119049i
$913$	32.2812	−	10.4888i	1.06835	−	0.347129i
$914$	−1.34325	−	0.975931i	−0.0444309	−	0.0322809i
$915$	11.6171	+	18.5723i	0.384050	+	0.613981i
$916$	1.31770	+	4.05545i	0.0435379	+	0.133996i
$917$	−5.87276	+	8.08316i	−0.193936	+	0.266929i
$918$	−1.64785	−	2.26807i	−0.0543872	−	0.0748576i
$919$	−5.81995	+	17.9120i	−0.191982	+	0.590861i	0.808016	+	0.589160i	$0.200541\pi$
$919$	−5.81995	+	17.9120i	−0.191982	+	0.590861i	−0.999999	+	0.00170088i	$0.999459\pi$
$920$	3.79743	+	15.2009i	0.125198	+	0.501160i
$921$	8.03515	+	24.7297i	0.264767	+	0.814870i
$922$	−12.2177	+	3.96978i	−0.402369	+	0.130738i
$923$	−15.5032	−	5.03729i	−0.510293	−	0.165804i
$924$	−1.77796			−0.0584906
$925$	−30.1929	+	31.3231i	−0.992735	+	1.02990i
$926$	−8.78063	+	27.0240i	−0.288549	+	0.888063i
$927$	−2.45928	+	3.38491i	−0.0807734	+	0.111175i
$928$	−0.560062	−	0.770859i	−0.0183849	−	0.0253047i
$929$	15.9043			0.521803			0.260902	−	0.965365i	$-0.415980\pi$
$929$	15.9043			0.521803			0.260902	+	0.965365i	$0.415980\pi$
$930$	−3.15177	−	12.0444i	−0.103350	−	0.394950i
$931$	2.93653			0.0962407
$932$	−10.3123	−	14.1936i	−0.337790	−	0.464928i
$933$	2.94328	−	4.05108i	0.0963587	−	0.132626i
$934$	7.55695	−	23.2579i	0.247271	−	0.761022i
$935$	16.5079	+	6.66079i	0.539865	+	0.217831i
$936$	−5.51617			−0.180302
$937$	3.38784	+	1.10078i	0.110676	+	0.0359608i	0.363831	−	0.931465i	$-0.381468\pi$
$937$	3.38784	+	1.10078i	0.110676	+	0.0359608i	−0.253156	+	0.967426i	$0.581468\pi$
$938$	8.01327	−	2.60367i	0.261642	−	0.0850128i
$939$	6.97905	+	21.4793i	0.227753	+	0.700950i
$940$	6.99281	−	1.74691i	0.228080	−	0.0569780i
$941$	12.6730	−	39.0034i	0.413127	−	1.27147i	−0.500789	−	0.865569i	$-0.666957\pi$
$941$	12.6730	−	39.0034i	0.413127	−	1.27147i	0.913916	−	0.405904i	$-0.133043\pi$
$942$	10.2267	+	14.0759i	0.333204	+	0.458616i
$943$	−30.5537	+	42.0536i	−0.994967	+	1.36945i
$944$	1.27709	+	3.93048i	0.0415657	+	0.127926i
$945$	−1.18698	+	0.742465i	−0.0386124	+	0.0241524i
$946$	0.456739	+	0.331841i	0.0148499	+	0.0107891i
$947$	−13.4173	+	4.35956i	−0.436005	+	0.141667i	−0.518792	−	0.854901i	$-0.673618\pi$
$947$	−13.4173	+	4.35956i	−0.436005	+	0.141667i	0.0827868	+	0.996567i	$0.473618\pi$
$948$	−2.09037	+	2.87715i	−0.0678922	+	0.0934456i
$949$	36.8540	−	26.7760i	1.19633	−	0.869186i
$950$	−1.04495	−	1.96091i	−0.0339026	−	0.0636205i
$951$	6.15551	−	4.47224i	0.199606	−	0.145022i
$952$	−1.66943	+	0.542431i	−0.0541065	+	0.0175803i
$953$	6.44147	−	2.09296i	0.208660	−	0.0677976i	−0.202822	−	0.979216i	$-0.565011\pi$
$953$	6.44147	−	2.09296i	0.208660	−	0.0677976i	0.411482	+	0.911418i	$0.365011\pi$
$954$	2.70592	−	8.32796i	0.0876074	−	0.269628i
$955$	11.5658	−	28.6641i	0.374259	−	0.927549i
$956$	−4.56781			−0.147733
$957$	2.57326	+	0.836103i	0.0831817	+	0.0270274i
$958$	−8.31668	+	11.4469i	−0.268700	+	0.369833i
$959$	7.34509	−	5.33652i	0.237185	−	0.172325i
$960$	2.07363	+	0.836694i	0.0669261	+	0.0270042i
$961$	8.92058	−	29.6888i	0.287761	−	0.957702i
$962$			47.9970i			1.54748i
$963$	3.18448	+	4.38306i	0.102618	+	0.141242i
$964$	13.5467	+	9.84226i	0.436310	+	0.316998i
$965$	6.28768	−	7.50035i	0.202408	−	0.241445i
$966$	4.38726			0.141158
$967$			40.6571i			1.30745i	0.756734	+	0.653723i	$0.226794\pi$
$967$			40.6571i			1.30745i	−0.756734	+	0.653723i	$0.773206\pi$
$968$	2.79285	+	0.907451i	0.0897655	+	0.0291666i
$969$	−0.384989	−	1.18487i	−0.0123676	−	0.0380636i
$970$	15.4661	+	1.07436i	0.496586	+	0.0344956i
$971$	38.7016	−	28.1184i	1.24200	−	0.902362i	0.244265	−	0.969708i	$-0.421453\pi$
$971$	38.7016	−	28.1184i	1.24200	−	0.902362i	0.997730	+	0.0673462i	$0.0214532\pi$
$972$	0.951057	+	0.309017i	0.0305052	+	0.00991172i
$973$	−3.78729	−	5.21275i	−0.121415	−	0.167113i
$974$	−24.4412	−	17.7576i	−0.783146	−	0.568989i
$975$	12.0679	−	24.8006i	0.386481	−	0.794254i
$976$	−7.92578	−	5.75842i	−0.253698	−	0.184322i
$977$	−14.3118	+	19.6986i	−0.457877	+	0.630213i	−0.974067	−	0.226261i	$-0.927350\pi$
$977$	−14.3118	+	19.6986i	−0.457877	+	0.630213i	0.516190	+	0.856474i	$0.327350\pi$
$978$	2.62311	−	0.852300i	0.0838778	−	0.0272536i
$979$	23.7018	+	17.2204i	0.757514	+	0.550366i
$980$	−3.58119	−	14.3353i	−0.114397	−	0.457925i
$981$	0.607241	−	1.86890i	0.0193877	−	0.0596692i
$982$	−11.9702	−	16.4756i	−0.381985	−	0.525757i
$983$	4.30201	−	1.39781i	0.137213	−	0.0445832i	−0.239605	−	0.970870i	$-0.577018\pi$
$983$	4.30201	−	1.39781i	0.137213	−	0.0445832i	0.376818	+	0.926287i	$0.377018\pi$
$984$	2.29243	+	7.05539i	0.0730802	+	0.224918i
$985$	37.9519	−	45.2715i	1.20925	−	1.44247i
$986$	2.67127			0.0850704
$987$		−	2.01825i		−	0.0642415i
$988$	−2.33136	−	0.757506i	−0.0741705	−	0.0240995i
$989$	−1.12704	−	0.818843i	−0.0358378	−	0.0260377i
$990$	−6.16026	+	1.53893i	−0.195786	+	0.0489104i
$991$	−34.0578			−1.08188			−0.540941	−	0.841060i	$-0.681932\pi$
$991$	−34.0578			−1.08188			−0.540941	+	0.841060i	$0.681932\pi$
$992$	3.32261	+	4.46769i	0.105493	+	0.141849i
$993$			18.6679i			0.592409i
$994$	1.49691	−	1.08757i	0.0474792	−	0.0344957i
$995$	33.9941	−	21.2636i	1.07769	−	0.674101i
$996$	−3.69374	+	11.3682i	−0.117041	+	0.360214i
$997$		−	7.40103i		−	0.234393i	−0.993109	−	0.117196i	$-0.962609\pi$
$997$		−	7.40103i		−	0.234393i	0.993109	−	0.117196i	$-0.0373907\pi$
$998$			22.4219i			0.709753i
$999$	2.68880	−	8.27528i	0.0850699	−	0.261818i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.z.d.109.6	✓	72
5.4	even	2	inner	930.2.z.d.109.15	yes	72
31.2	even	5	inner	930.2.z.d.529.15	yes	72
155.64	even	10	inner	930.2.z.d.529.6	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.z.d.109.6	✓	72	1.1	even	1	trivial
930.2.z.d.109.15	yes	72	5.4	even	2	inner
930.2.z.d.529.6	yes	72	155.64	even	10	inner
930.2.z.d.529.15	yes	72	31.2	even	5	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.z (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(0.836694 - 2.07363i) q^{5} +1.00000 q^{6} +(-0.595482 - 0.193484i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(0.836694 - 2.07363i) q^{5} +1.00000 q^{6} +(-0.595482 - 0.193484i) q^{7} +(0.951057 - 0.309017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(-2.16940 + 0.541950i) q^{10} +(-0.877490 + 2.70064i) q^{11} +(-0.587785 - 0.809017i) q^{12} +(3.24232 - 4.46267i) q^{13} +(0.193484 + 0.595482i) q^{14} +(1.18581 + 1.89575i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(2.66628 - 0.866327i) q^{17} +(-0.587785 + 0.809017i) q^{18} +(-0.359521 + 0.261207i) q^{19} +(1.71359 + 1.43653i) q^{20} +(0.506547 - 0.368028i) q^{21} +(2.70064 - 0.877490i) q^{22} +(-6.66404 + 2.16528i) q^{23} +(-0.309017 + 0.951057i) q^{24} +(-3.59989 - 3.46999i) q^{25} -5.51617 q^{26} +(0.951057 + 0.309017i) q^{27} +(0.368028 - 0.506547i) q^{28} +(-0.770859 + 0.560062i) q^{29} +(0.836694 - 2.07363i) q^{30} +(4.46769 - 3.32261i) q^{31} +1.00000i q^{32} +(-1.66909 - 2.29730i) q^{33} +(-2.26807 - 1.64785i) q^{34} +(-0.899450 + 1.07292i) q^{35} +1.00000 q^{36} -8.70114i q^{37} +(0.422642 + 0.137325i) q^{38} +(1.70459 + 5.24619i) q^{39} +(0.154956 - 2.23069i) q^{40} +(6.00167 - 4.36047i) q^{41} +(-0.595482 - 0.193484i) q^{42} +(0.116861 + 0.160845i) q^{43} +(-2.29730 - 1.66909i) q^{44} +(-2.23069 - 0.154956i) q^{45} +(5.66877 + 4.11860i) q^{46} +(1.89466 - 2.60777i) q^{47} +(0.951057 - 0.309017i) q^{48} +(-5.34596 - 3.88406i) q^{49} +(-0.691319 + 4.95198i) q^{50} +(-0.866327 + 2.66628i) q^{51} +(3.24232 + 4.46267i) q^{52} +(-8.32796 + 2.70592i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(4.86593 + 4.07920i) q^{55} -0.626127 q^{56} -0.444392i q^{57} +(0.906199 + 0.294442i) q^{58} +(-3.34346 - 2.42917i) q^{59} +(-2.16940 + 0.541950i) q^{60} +9.79680 q^{61} +(-5.31409 - 1.66146i) q^{62} +0.626127i q^{63} +(0.809017 - 0.587785i) q^{64} +(-6.54110 - 10.4573i) q^{65} +(-0.877490 + 2.70064i) q^{66} -13.4568i q^{67} +2.80349i q^{68} +(2.16528 - 6.66404i) q^{69} +(1.39670 + 0.0970222i) q^{70} +(-0.913186 - 2.81050i) q^{71} +(-0.587785 - 0.809017i) q^{72} +(7.85409 + 2.55195i) q^{73} +(-7.03937 + 5.11440i) q^{74} +(4.92324 - 0.872762i) q^{75} +(-0.137325 - 0.422642i) q^{76} +(1.04506 - 1.43840i) q^{77} +(3.24232 - 4.46267i) q^{78} +(-1.09897 - 3.38230i) q^{79} +(-1.89575 + 1.18581i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-7.05539 - 2.29243i) q^{82} +(-7.02591 - 9.67034i) q^{83} +(0.193484 + 0.595482i) q^{84} +(0.434418 - 6.25373i) q^{85} +(0.0614375 - 0.189085i) q^{86} -0.952834i q^{87} +2.83962i q^{88} +(3.18821 - 9.81231i) q^{89} +(1.18581 + 1.89575i) q^{90} +(-2.79420 + 2.03010i) q^{91} -7.00698i q^{92} +(0.0620001 + 5.56742i) q^{93} -3.22338 q^{94} +(0.240838 + 0.964063i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-6.59398 - 2.14251i) q^{97} +6.60797i q^{98} +2.83962 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 18 q^{4} + 4 q^{5} + 72 q^{6} + 18 q^{9}+O(q^{10}) \) 72 * q + 18 * q^4 + 4 * q^5 + 72 * q^6 + 18 * q^9	\( 72 q + 18 q^{4} + 4 q^{5} + 72 q^{6} + 18 q^{9} - 6 q^{11} - 4 q^{14} - 18 q^{16} + 12 q^{19} - 4 q^{20} - 16 q^{21} + 18 q^{24} - 4 q^{25} + 12 q^{26} + 24 q^{29} + 4 q^{30} + 22 q^{31} + 14 q^{34} - 22 q^{35} + 72 q^{36} + 8 q^{39} - 28 q^{41} - 4 q^{44} - 4 q^{45} - 22 q^{46} + 42 q^{49} - 32 q^{50} - 4 q^{51} + 18 q^{54} + 14 q^{55} + 24 q^{56} - 28 q^{59} + 56 q^{61} + 18 q^{64} + 46 q^{65} - 6 q^{66} - 8 q^{69} + 46 q^{70} - 68 q^{71} + 8 q^{74} + 32 q^{75} - 12 q^{76} + 26 q^{79} - 6 q^{80} - 18 q^{81} - 4 q^{84} - 32 q^{85} + 80 q^{86} + 32 q^{89} - 44 q^{91} + 12 q^{94} + 74 q^{95} - 18 q^{96} - 4 q^{99}+O(q^{100}) \) 72 * q + 18 * q^4 + 4 * q^5 + 72 * q^6 + 18 * q^9 - 6 * q^11 - 4 * q^14 - 18 * q^16 + 12 * q^19 - 4 * q^20 - 16 * q^21 + 18 * q^24 - 4 * q^25 + 12 * q^26 + 24 * q^29 + 4 * q^30 + 22 * q^31 + 14 * q^34 - 22 * q^35 + 72 * q^36 + 8 * q^39 - 28 * q^41 - 4 * q^44 - 4 * q^45 - 22 * q^46 + 42 * q^49 - 32 * q^50 - 4 * q^51 + 18 * q^54 + 14 * q^55 + 24 * q^56 - 28 * q^59 + 56 * q^61 + 18 * q^64 + 46 * q^65 - 6 * q^66 - 8 * q^69 + 46 * q^70 - 68 * q^71 + 8 * q^74 + 32 * q^75 - 12 * q^76 + 26 * q^79 - 6 * q^80 - 18 * q^81 - 4 * q^84 - 32 * q^85 + 80 * q^86 + 32 * q^89 - 44 * q^91 + 12 * q^94 + 74 * q^95 - 18 * q^96 - 4 * q^99

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