LMFDB - Embedded newform 798.2.be.b.607.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(493,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 1, 3]))

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

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

chi := DirichletCharacter("798.493");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.be (of order $6$, degree $2$, 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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$14$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			607.10
Character	$\chi$	$=$	798.607
Dual form			798.2.be.b.493.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.36428 - 0.787665i) q^{5} +1.00000i q^{6} +(-2.58854 - 0.547225i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.36428 - 0.787665i) q^{5} +1.00000i q^{6} +(-2.58854 - 0.547225i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(-0.787665 - 1.36428i) q^{10} +(3.05275 + 5.28751i) q^{11} +(-0.500000 + 0.866025i) q^{12} -6.67245 q^{13} +(-1.96813 - 1.76818i) q^{14} -1.57533i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.57445 + 1.48636i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(-0.229603 + 4.35285i) q^{19} -1.57533i q^{20} +(-0.820360 - 2.51535i) q^{21} +6.10550i q^{22} +(1.42621 - 2.47026i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(-1.25917 - 2.18094i) q^{25} +(-5.77851 - 3.33623i) q^{26} -1.00000 q^{27} +(-0.820360 - 2.51535i) q^{28} +0.477798i q^{29} +(0.787665 - 1.36428i) q^{30} +(5.08855 + 8.81363i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-3.05275 + 5.28751i) q^{33} -2.97272 q^{34} +(3.10045 + 2.78547i) q^{35} -1.00000 q^{36} +(2.38228 + 1.37541i) q^{37} +(-2.37527 + 3.65488i) q^{38} +(-3.33623 - 5.77851i) q^{39} +(0.787665 - 1.36428i) q^{40} -5.93014 q^{41} +(0.547225 - 2.58854i) q^{42} +5.81689 q^{43} +(-3.05275 + 5.28751i) q^{44} +(1.36428 - 0.787665i) q^{45} +(2.47026 - 1.42621i) q^{46} +(-9.00424 - 5.19860i) q^{47} -1.00000 q^{48} +(6.40109 + 2.83303i) q^{49} -2.51834i q^{50} +(-2.57445 - 1.48636i) q^{51} +(-3.33623 - 5.77851i) q^{52} +(-0.239193 + 0.138098i) q^{53} +(-0.866025 - 0.500000i) q^{54} -9.61817i q^{55} +(0.547225 - 2.58854i) q^{56} +(-3.88448 + 1.97758i) q^{57} +(-0.238899 + 0.413785i) q^{58} +(0.282407 + 0.489143i) q^{59} +(1.36428 - 0.787665i) q^{60} +(8.47686 + 4.89412i) q^{61} +10.1771i q^{62} +(1.76818 - 1.96813i) q^{63} -1.00000 q^{64} +(9.10307 + 5.25566i) q^{65} +(-5.28751 + 3.05275i) q^{66} +(-5.06382 + 2.92360i) q^{67} +(-2.57445 - 1.48636i) q^{68} +2.85241 q^{69} +(1.29234 + 3.96251i) q^{70} -12.8543i q^{71} +(-0.866025 - 0.500000i) q^{72} +(14.1671 - 8.17935i) q^{73} +(1.37541 + 2.38228i) q^{74} +(1.25917 - 2.18094i) q^{75} +(-3.88448 + 1.97758i) q^{76} +(-5.00871 - 15.3575i) q^{77} -6.67245i q^{78} +(3.83751 + 2.21559i) q^{79} +(1.36428 - 0.787665i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-5.13565 - 2.96507i) q^{82} -5.23207i q^{83} +(1.76818 - 1.96813i) q^{84} +4.68301 q^{85} +(5.03757 + 2.90845i) q^{86} +(-0.413785 + 0.238899i) q^{87} +(-5.28751 + 3.05275i) q^{88} +(-0.557030 + 0.964804i) q^{89} +1.57533 q^{90} +(17.2719 + 3.65133i) q^{91} +2.85241 q^{92} +(-5.08855 + 8.81363i) q^{93} +(-5.19860 - 9.00424i) q^{94} +(3.74183 - 5.75763i) q^{95} +(-0.866025 - 0.500000i) q^{96} -8.04052 q^{97} +(4.12699 + 5.65402i) q^{98} -6.10550 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q + 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) $ 28 * q + 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	$ 28 q + 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} + 4 q^{10} + 6 q^{11} - 14 q^{12} - 8 q^{13} - 4 q^{14} - 14 q^{16} - 12 q^{17} - 6 q^{19} - 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} - 28 q^{27} - 4 q^{28} - 4 q^{30} - 4 q^{31} - 6 q^{33} - 8 q^{34} - 10 q^{35} - 28 q^{36} - 12 q^{37} - 12 q^{38} - 4 q^{39} - 4 q^{40} - 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} - 36 q^{46} - 6 q^{47} - 28 q^{48} + 18 q^{49} - 12 q^{51} - 4 q^{52} - 36 q^{53} - 8 q^{56} - 12 q^{57} + 4 q^{58} - 32 q^{59} + 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} + 60 q^{65} + 12 q^{67} - 12 q^{68} + 12 q^{69} + 12 q^{70} + 30 q^{73} + 12 q^{74} - 20 q^{75} - 12 q^{76} + 28 q^{77} + 36 q^{79} + 6 q^{80} - 14 q^{81} - 2 q^{84} + 64 q^{85} + 24 q^{86} - 16 q^{89} - 8 q^{90} + 20 q^{91} + 12 q^{92} + 4 q^{93} - 22 q^{95} + 16 q^{97} + 8 q^{98} - 12 q^{99}+O(q^{100}) $ 28 * q + 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 + 4 * q^10 + 6 * q^11 - 14 * q^12 - 8 * q^13 - 4 * q^14 - 14 * q^16 - 12 * q^17 - 6 * q^19 - 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 - 28 * q^27 - 4 * q^28 - 4 * q^30 - 4 * q^31 - 6 * q^33 - 8 * q^34 - 10 * q^35 - 28 * q^36 - 12 * q^37 - 12 * q^38 - 4 * q^39 - 4 * q^40 - 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 - 36 * q^46 - 6 * q^47 - 28 * q^48 + 18 * q^49 - 12 * q^51 - 4 * q^52 - 36 * q^53 - 8 * q^56 - 12 * q^57 + 4 * q^58 - 32 * q^59 + 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 + 60 * q^65 + 12 * q^67 - 12 * q^68 + 12 * q^69 + 12 * q^70 + 30 * q^73 + 12 * q^74 - 20 * q^75 - 12 * q^76 + 28 * q^77 + 36 * q^79 + 6 * q^80 - 14 * q^81 - 2 * q^84 + 64 * q^85 + 24 * q^86 - 16 * q^89 - 8 * q^90 + 20 * q^91 + 12 * q^92 + 4 * q^93 - 22 * q^95 + 16 * q^97 + 8 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

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 $

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	0.500000	+	0.866025i	0.288675	+	0.500000i
$3$	0.500000	+	0.866025i	0.288675	+	0.500000i
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−1.36428	−	0.787665i	−0.610123	−	0.352254i	0.162891	−	0.986644i	$-0.447918\pi$
$5$	−1.36428	−	0.787665i	−0.610123	−	0.352254i	−0.773013	+	0.634390i	$0.781252\pi$
$6$			1.00000i			0.408248i
$7$	−2.58854	−	0.547225i	−0.978377	−	0.206831i
$7$	−2.58854	−	0.547225i	−0.978377	−	0.206831i
$8$			1.00000i			0.353553i
$9$	−0.500000	+	0.866025i	−0.166667	+	0.288675i
$10$	−0.787665	−	1.36428i	−0.249082	−	0.431422i
$11$	3.05275	+	5.28751i	0.920438	+	1.59425i	0.798738	+	0.601679i	$0.205501\pi$
$11$	3.05275	+	5.28751i	0.920438	+	1.59425i	0.121700	+	0.992567i	$0.461165\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−6.67245			−1.85061			−0.925303	−	0.379229i	$-0.876189\pi$
$13$	−6.67245			−1.85061			−0.925303	+	0.379229i	$0.876189\pi$
$14$	−1.96813	−	1.76818i	−0.526005	−	0.472566i
$15$		−	1.57533i		−	0.406748i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−2.57445	+	1.48636i	−0.624396	+	0.360495i	−0.778579	−	0.627547i	$-0.784059\pi$
$17$	−2.57445	+	1.48636i	−0.624396	+	0.360495i	0.154182	+	0.988042i	$0.450726\pi$
$18$	−0.866025	+	0.500000i	−0.204124	+	0.117851i
$19$	−0.229603	+	4.35285i	−0.0526746	+	0.998612i
$19$	−0.229603	+	4.35285i	−0.0526746	+	0.998612i
$20$		−	1.57533i		−	0.352254i
$21$	−0.820360	−	2.51535i	−0.179017	−	0.548895i
$22$			6.10550i			1.30170i
$23$	1.42621	−	2.47026i	0.297385	−	0.515085i	−0.678152	−	0.734922i	$-0.737219\pi$
$23$	1.42621	−	2.47026i	0.297385	−	0.515085i	0.975537	+	0.219836i	$0.0705523\pi$
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	−1.25917	−	2.18094i	−0.251834	−	0.436189i
$26$	−5.77851	−	3.33623i	−1.13326	−	0.654288i
$27$	−1.00000			−0.192450
$28$	−0.820360	−	2.51535i	−0.155033	−	0.475357i
$29$			0.477798i			0.0887249i	0.999016	+	0.0443624i	$0.0141256\pi$
$29$			0.477798i			0.0887249i	−0.999016	+	0.0443624i	$0.985874\pi$
$30$	0.787665	−	1.36428i	0.143807	−	0.249082i
$31$	5.08855	+	8.81363i	0.913931	+	1.58297i	0.808459	+	0.588552i	$0.200302\pi$
$31$	5.08855	+	8.81363i	0.913931	+	1.58297i	0.105472	+	0.994422i	$0.466365\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	−3.05275	+	5.28751i	−0.531415	+	0.920438i
$34$	−2.97272			−0.509817
$35$	3.10045	+	2.78547i	0.524072	+	0.470830i
$36$	−1.00000			−0.166667
$37$	2.38228	+	1.37541i	0.391645	+	0.226116i	0.682873	−	0.730538i	$-0.260730\pi$
$37$	2.38228	+	1.37541i	0.391645	+	0.226116i	−0.291228	+	0.956654i	$0.594064\pi$
$38$	−2.37527	+	3.65488i	−0.385319	+	0.592899i
$39$	−3.33623	−	5.77851i	−0.534224	−	0.925303i
$40$	0.787665	−	1.36428i	0.124541	−	0.215711i
$41$	−5.93014			−0.926133			−0.463066	−	0.886324i	$-0.653251\pi$
$41$	−5.93014			−0.926133			−0.463066	+	0.886324i	$0.653251\pi$
$42$	0.547225	−	2.58854i	0.0844386	−	0.399421i
$43$	5.81689			0.887067			0.443534	−	0.896258i	$-0.353725\pi$
$43$	5.81689			0.887067			0.443534	+	0.896258i	$0.353725\pi$
$44$	−3.05275	+	5.28751i	−0.460219	+	0.797123i
$45$	1.36428	−	0.787665i	0.203374	−	0.117418i
$46$	2.47026	−	1.42621i	0.364220	−	0.210283i
$47$	−9.00424	−	5.19860i	−1.31340	−	0.758294i	−0.330746	−	0.943720i	$-0.607300\pi$
$47$	−9.00424	−	5.19860i	−1.31340	−	0.758294i	−0.982658	+	0.185426i	$0.940634\pi$
$48$	−1.00000			−0.144338
$49$	6.40109	+	2.83303i	0.914441	+	0.404718i
$50$		−	2.51834i		−	0.356146i
$51$	−2.57445	−	1.48636i	−0.360495	−	0.208132i
$52$	−3.33623	−	5.77851i	−0.462651	−	0.801336i
$53$	−0.239193	+	0.138098i	−0.0328556	+	0.0189692i	−0.516338	−	0.856385i	$-0.672705\pi$
$53$	−0.239193	+	0.138098i	−0.0328556	+	0.0189692i	0.483482	+	0.875354i	$0.339372\pi$
$54$	−0.866025	−	0.500000i	−0.117851	−	0.0680414i
$55$		−	9.61817i		−	1.29691i
$56$	0.547225	−	2.58854i	0.0731260	−	0.345908i
$57$	−3.88448	+	1.97758i	−0.514512	+	0.261937i
$58$	−0.238899	+	0.413785i	−0.0313690	+	0.0543327i
$59$	0.282407	+	0.489143i	0.0367662	+	0.0636809i	0.883823	−	0.467821i	$-0.154961\pi$
$59$	0.282407	+	0.489143i	0.0367662	+	0.0636809i	−0.847057	+	0.531502i	$0.821628\pi$
$60$	1.36428	−	0.787665i	0.176127	−	0.101687i
$61$	8.47686	+	4.89412i	1.08535	+	0.626628i	0.932335	−	0.361596i	$-0.117768\pi$
$61$	8.47686	+	4.89412i	1.08535	+	0.626628i	0.153016	+	0.988224i	$0.451101\pi$
$62$			10.1771i			1.29249i
$63$	1.76818	−	1.96813i	0.222770	−	0.247961i
$64$	−1.00000			−0.125000
$65$	9.10307	+	5.25566i	1.12910	+	0.651884i
$66$	−5.28751	+	3.05275i	−0.650848	+	0.375767i
$67$	−5.06382	+	2.92360i	−0.618644	+	0.357174i	−0.776341	−	0.630313i	$-0.782926\pi$
$67$	−5.06382	+	2.92360i	−0.618644	+	0.357174i	0.157697	+	0.987488i	$0.449593\pi$
$68$	−2.57445	−	1.48636i	−0.312198	−	0.180248i
$69$	2.85241			0.343390
$70$	1.29234	+	3.96251i	0.154464	+	0.473611i
$71$		−	12.8543i		−	1.52552i	−0.646680	−	0.762762i	$-0.723843\pi$
$71$		−	12.8543i		−	1.52552i	0.646680	−	0.762762i	$-0.276157\pi$
$72$	−0.866025	−	0.500000i	−0.102062	−	0.0589256i
$73$	14.1671	−	8.17935i	1.65813	−	0.957321i	0.684551	−	0.728965i	$-0.259998\pi$
$73$	14.1671	−	8.17935i	1.65813	−	0.957321i	0.973578	−	0.228356i	$-0.0733350\pi$
$74$	1.37541	+	2.38228i	0.159888	+	0.276935i
$75$	1.25917	−	2.18094i	0.145396	−	0.251834i
$76$	−3.88448	+	1.97758i	−0.445580	+	0.226844i
$77$	−5.00871	−	15.3575i	−0.570795	−	1.75015i
$78$		−	6.67245i		−	0.755507i
$79$	3.83751	+	2.21559i	0.431754	+	0.249273i	0.700094	−	0.714051i	$-0.253142\pi$
$79$	3.83751	+	2.21559i	0.431754	+	0.249273i	−0.268340	+	0.963324i	$0.586475\pi$
$80$	1.36428	−	0.787665i	0.152531	−	0.0880636i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−5.13565	−	2.96507i	−0.567138	−	0.327437i
$83$		−	5.23207i		−	0.574294i	−0.957887	−	0.287147i	$-0.907293\pi$
$83$		−	5.23207i		−	0.574294i	0.957887	−	0.287147i	$-0.0927068\pi$
$84$	1.76818	−	1.96813i	0.192924	−	0.214741i
$85$	4.68301			0.507944
$86$	5.03757	+	2.90845i	0.543216	+	0.313626i
$87$	−0.413785	+	0.238899i	−0.0443624	+	0.0256127i
$88$	−5.28751	+	3.05275i	−0.563651	+	0.325424i
$89$	−0.557030	+	0.964804i	−0.0590451	+	0.102269i	−0.894037	−	0.447993i	$-0.852139\pi$
$89$	−0.557030	+	0.964804i	−0.0590451	+	0.102269i	0.834992	+	0.550262i	$0.185472\pi$
$90$	1.57533			0.166054
$91$	17.2719	+	3.65133i	1.81059	+	0.382763i
$92$	2.85241			0.297385
$93$	−5.08855	+	8.81363i	−0.527658	+	0.913931i
$94$	−5.19860	−	9.00424i	−0.536195	−	0.928717i
$95$	3.74183	−	5.75763i	0.383903	−	0.590721i
$96$	−0.866025	−	0.500000i	−0.0883883	−	0.0510310i
$97$	−8.04052			−0.816391			−0.408195	−	0.912895i	$-0.633842\pi$
$97$	−8.04052			−0.816391			−0.408195	+	0.912895i	$0.633842\pi$
$98$	4.12699	+	5.65402i	0.416889	+	0.571142i
$99$	−6.10550			−0.613625
$100$	1.25917	−	2.18094i	0.125917	−	0.218094i
$101$	11.8342	−	6.83249i	1.17755	−	0.679858i	0.222102	−	0.975023i	$-0.428708\pi$
$101$	11.8342	−	6.83249i	1.17755	−	0.679858i	0.955446	+	0.295166i	$0.0953748\pi$
$102$	−1.48636	−	2.57445i	−0.147172	−	0.254909i
$103$	−4.33801	+	7.51365i	−0.427436	+	0.740342i	−0.996644	−	0.0818520i	$-0.973917\pi$
$103$	−4.33801	+	7.51365i	−0.427436	+	0.740342i	0.569208	+	0.822193i	$0.307250\pi$
$104$		−	6.67245i		−	0.654288i
$105$	−0.862059	+	4.07781i	−0.0841284	+	0.397953i
$106$	−0.276196			−0.0268265
$107$	2.30996	+	1.33366i	0.223313	+	0.128930i	0.607483	−	0.794333i	$-0.292179\pi$
$107$	2.30996	+	1.33366i	0.223313	+	0.128930i	−0.384171	+	0.923262i	$0.625513\pi$
$108$	−0.500000	−	0.866025i	−0.0481125	−	0.0833333i
$109$	−6.72122	+	3.88050i	−0.643776	+	0.371684i	−0.786068	−	0.618140i	$-0.787886\pi$
$109$	−6.72122	+	3.88050i	−0.643776	+	0.371684i	0.142291	+	0.989825i	$0.454553\pi$
$110$	4.80909	−	8.32958i	0.458528	−	0.794194i
$111$			2.75082i			0.261097i
$112$	1.76818	−	1.96813i	0.167077	−	0.185971i
$113$			18.3216i			1.72355i	0.507287	+	0.861777i	$0.330648\pi$
$113$			18.3216i			1.72355i	−0.507287	+	0.861777i	$0.669352\pi$
$114$	−4.35285	−	0.229603i	−0.407682	−	0.0215043i
$115$	−3.89148	+	2.24675i	−0.362882	+	0.209510i
$116$	−0.413785	+	0.238899i	−0.0384190	+	0.0221812i
$117$	3.33623	−	5.77851i	0.308434	−	0.534224i
$118$			0.564813i			0.0519953i
$119$	7.47745	−	2.43870i	0.685456	−	0.223555i
$120$	1.57533			0.143807
$121$	−13.1385	+	22.7566i	−1.19441	+	2.06878i
$122$	4.89412	+	8.47686i	0.443093	+	0.767459i
$123$	−2.96507	−	5.13565i	−0.267351	−	0.463066i
$124$	−5.08855	+	8.81363i	−0.456965	+	0.791487i
$125$			11.8439i			1.05935i
$126$	2.51535	−	0.820360i	0.224086	−	0.0730835i
$127$			1.30844i			0.116105i	0.998314	+	0.0580525i	$0.0184891\pi$
$127$			1.30844i			0.116105i	−0.998314	+	0.0580525i	$0.981511\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	2.90845	+	5.03757i	0.256074	+	0.443534i
$130$	5.25566	+	9.10307i	0.460952	+	0.798392i
$131$	9.00182	+	5.19720i	0.786493	+	0.454082i	0.838726	−	0.544553i	$-0.183301\pi$
$131$	9.00182	+	5.19720i	0.786493	+	0.454082i	−0.0522336	+	0.998635i	$0.516634\pi$
$132$	−6.10550			−0.531415
$133$	2.97632	−	11.1419i	0.258080	−	0.966124i
$134$	−5.84719			−0.505120
$135$	1.36428	+	0.787665i	0.117418	+	0.0677914i
$136$	−1.48636	−	2.57445i	−0.127454	−	0.220757i
$137$	0.589886	+	1.02171i	0.0503973	+	0.0872907i	0.890124	−	0.455719i	$-0.150618\pi$
$137$	0.589886	+	1.02171i	0.0503973	+	0.0872907i	−0.839726	+	0.543010i	$0.817285\pi$
$138$	2.47026	+	1.42621i	0.210283	+	0.121407i
$139$			14.5167i			1.23129i	0.788023	+	0.615646i	$0.211105\pi$
$139$			14.5167i			1.23129i	−0.788023	+	0.615646i	$0.788895\pi$
$140$	−0.862059	+	4.07781i	−0.0728573	+	0.344638i
$141$		−	10.3972i		−	0.875602i
$142$	6.42714	−	11.1321i	0.539354	−	0.934188i
$143$	−20.3693	−	35.2807i	−1.70337	−	2.95032i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	0.376345	−	0.651848i	0.0312537	−	0.0541330i
$146$	16.3587			1.35386
$147$	0.747072	+	6.96002i	0.0616175	+	0.574053i
$148$			2.75082i			0.226116i
$149$	0.0195602	−	0.0338793i	0.00160244	−	0.00277550i	−0.865223	−	0.501387i	$-0.832823\pi$
$149$	0.0195602	−	0.0338793i	0.00160244	−	0.00277550i	0.866826	+	0.498612i	$0.166157\pi$
$150$	2.18094	−	1.25917i	0.178073	−	0.102811i
$151$	10.9720	−	6.33468i	0.892887	−	0.515509i	0.0180014	−	0.999838i	$-0.494270\pi$
$151$	10.9720	−	6.33468i	0.892887	−	0.515509i	0.874886	+	0.484329i	$0.160936\pi$
$152$	−4.35285	−	0.229603i	−0.353063	−	0.0186233i
$153$		−	2.97272i		−	0.240330i
$154$	3.34108	−	15.8043i	0.269232	−	1.27355i
$155$		−	16.0323i		−	1.28775i
$156$	3.33623	−	5.77851i	0.267112	−	0.462651i
$157$	1.63398	−	0.943380i	0.130406	−	0.0752899i	−0.433378	−	0.901212i	$-0.642678\pi$
$157$	1.63398	−	0.943380i	0.130406	−	0.0752899i	0.563784	+	0.825922i	$0.309345\pi$
$158$	2.21559	+	3.83751i	0.176263	+	0.305296i
$159$	−0.239193	−	0.138098i	−0.0189692	−	0.0109519i
$160$	1.57533			0.124541
$161$	−5.04358	+	5.61392i	−0.397490	+	0.442439i
$162$		−	1.00000i		−	0.0785674i
$163$	−3.02209	+	5.23441i	−0.236708	+	0.409991i	−0.959768	−	0.280795i	$-0.909402\pi$
$163$	−3.02209	+	5.23441i	−0.236708	+	0.409991i	0.723060	+	0.690786i	$0.242735\pi$
$164$	−2.96507	−	5.13565i	−0.231533	−	0.401027i
$165$	8.32958	−	4.80909i	0.648457	−	0.374387i
$166$	2.61603	−	4.53110i	0.203044	−	0.351682i
$167$	−4.29849			−0.332627			−0.166314	−	0.986073i	$-0.553186\pi$
$167$	−4.29849			−0.332627			−0.166314	+	0.986073i	$0.553186\pi$
$168$	2.51535	−	0.820360i	0.194064	−	0.0632922i
$169$	31.5216			2.42474
$170$	4.05561	+	2.34151i	0.311051	+	0.179585i
$171$	−3.65488	−	2.37527i	−0.279495	−	0.181641i
$172$	2.90845	+	5.03757i	0.221767	+	0.384111i
$173$	−8.45727	+	14.6484i	−0.642994	+	1.11370i	0.341767	+	0.939785i	$0.388975\pi$
$173$	−8.45727	+	14.6484i	−0.642994	+	1.11370i	−0.984761	+	0.173914i	$0.944359\pi$
$174$	−0.477798			−0.0362218
$175$	2.06594	+	6.33451i	0.156171	+	0.478844i
$176$	−6.10550			−0.460219
$177$	−0.282407	+	0.489143i	−0.0212270	+	0.0367662i
$178$	−0.964804	+	0.557030i	−0.0723151	+	0.0417512i
$179$	6.94575	−	4.01013i	0.519150	−	0.299731i	−0.217437	−	0.976074i	$-0.569770\pi$
$179$	6.94575	−	4.01013i	0.519150	−	0.299731i	0.736587	+	0.676343i	$0.236436\pi$
$180$	1.36428	+	0.787665i	0.101687	+	0.0587091i
$181$	6.91445			0.513947			0.256974	−	0.966418i	$-0.417275\pi$
$181$	6.91445			0.513947			0.256974	+	0.966418i	$0.417275\pi$
$182$	13.1323	+	11.7981i	0.973428	+	0.874534i
$183$			9.78824i			0.723568i
$184$	2.47026	+	1.42621i	0.182110	+	0.105141i
$185$	−2.16673	−	3.75288i	−0.159301	−	0.275917i
$186$	−8.81363	+	5.08855i	−0.646247	+	0.373111i
$187$	−15.7183	−	9.07497i	−1.14944	−	0.663627i
$188$		−	10.3972i		−	0.758294i
$189$	2.58854	+	0.547225i	0.188289	+	0.0398047i
$190$	6.11933	−	3.11534i	0.443943	−	0.226011i
$191$	1.59974	−	2.77083i	0.115753	−	0.200490i	−0.802327	−	0.596884i	$-0.796405\pi$
$191$	1.59974	−	2.77083i	0.115753	−	0.200490i	0.918081	+	0.396394i	$0.129739\pi$
$192$	−0.500000	−	0.866025i	−0.0360844	−	0.0625000i
$193$	−10.2358	+	5.90965i	−0.736790	+	0.425386i	−0.820901	−	0.571070i	$-0.806528\pi$
$193$	−10.2358	+	5.90965i	−0.736790	+	0.425386i	0.0841110	+	0.996456i	$0.473195\pi$
$194$	−6.96329	−	4.02026i	−0.499935	−	0.288638i
$195$			10.5113i			0.752731i
$196$	0.747072	+	6.96002i	0.0533623	+	0.497144i
$197$	17.6437			1.25706			0.628530	−	0.777785i	$-0.283657\pi$
$197$	17.6437			1.25706			0.628530	+	0.777785i	$0.283657\pi$
$198$	−5.28751	−	3.05275i	−0.375767	−	0.216949i
$199$	4.10182	−	2.36819i	0.290771	−	0.167876i	−0.347519	−	0.937673i	$-0.612976\pi$
$199$	4.10182	−	2.36819i	0.290771	−	0.167876i	0.638289	+	0.769797i	$0.279642\pi$
$200$	2.18094	−	1.25917i	0.154216	−	0.0890366i
$201$	−5.06382	−	2.92360i	−0.357174	−	0.206215i
$202$	13.6650			0.961464
$203$	0.261463	−	1.23680i	0.0183511	−	0.0868063i
$204$		−	2.97272i		−	0.208132i
$205$	8.09035	+	4.67097i	0.565054	+	0.326234i
$206$	−7.51365	+	4.33801i	−0.523501	+	0.302243i
$207$	1.42621	+	2.47026i	0.0991282	+	0.171695i
$208$	3.33623	−	5.77851i	0.231326	−	0.400668i
$209$	−23.7167	+	12.0741i	−1.64052	+	0.835184i
$210$	−2.78547	+	3.10045i	−0.192216	+	0.213952i
$211$			5.77748i			0.397738i	0.980026	+	0.198869i	$0.0637268\pi$
$211$			5.77748i			0.397738i	−0.980026	+	0.198869i	$0.936273\pi$
$212$	−0.239193	−	0.138098i	−0.0164278	−	0.00948461i
$213$	11.1321	−	6.42714i	0.762762	−	0.440381i
$214$	1.33366	+	2.30996i	0.0911670	+	0.157906i
$215$	−7.93584	−	4.58176i	−0.541220	−	0.312473i
$216$		−	1.00000i		−	0.0680414i
$217$	−8.34889	−	25.5990i	−0.566760	−	1.73778i
$218$	−7.76100			−0.525641
$219$	14.1671	+	8.17935i	0.957321	+	0.552710i
$220$	8.32958	−	4.80909i	0.561580	−	0.324228i
$221$	17.1779	−	9.91767i	1.15551	−	0.667135i
$222$	−1.37541	+	2.38228i	−0.0923116	+	0.159888i
$223$	16.9366			1.13416			0.567081	−	0.823662i	$-0.308073\pi$
$223$	16.9366			1.13416			0.567081	+	0.823662i	$0.308073\pi$
$224$	2.51535	−	0.820360i	0.168064	−	0.0548126i
$225$	2.51834			0.167889
$226$	−9.16082	+	15.8670i	−0.609368	+	1.05546i
$227$	2.19387	+	3.79989i	0.145612	+	0.252207i	0.929601	−	0.368567i	$-0.120152\pi$
$227$	2.19387	+	3.79989i	0.145612	+	0.252207i	−0.783989	+	0.620775i	$0.786818\pi$
$228$	−3.65488	−	2.37527i	−0.242050	−	0.157306i
$229$	−22.2630	−	12.8535i	−1.47118	−	0.849386i	−0.471703	−	0.881757i	$-0.656361\pi$
$229$	−22.2630	−	12.8535i	−1.47118	−	0.849386i	−0.999476	+	0.0323719i	$0.989694\pi$
$230$	−4.49349			−0.296292
$231$	10.7956	−	12.0164i	0.710300	−	0.790622i
$232$	−0.477798			−0.0313690
$233$	−11.6035	+	20.0979i	−0.760174	+	1.31666i	0.182587	+	0.983190i	$0.441553\pi$
$233$	−11.6035	+	20.0979i	−0.760174	+	1.31666i	−0.942761	+	0.333470i	$0.891781\pi$
$234$	5.77851	−	3.33623i	0.377753	−	0.218096i
$235$	8.18951	+	14.1847i	0.534225	+	0.925305i
$236$	−0.282407	+	0.489143i	−0.0183831	+	0.0318405i
$237$			4.43118i			0.287836i
$238$	7.69501	+	1.62675i	0.498793	+	0.105446i
$239$	−23.5405			−1.52271			−0.761355	−	0.648335i	$-0.775466\pi$
$239$	−23.5405			−1.52271			−0.761355	+	0.648335i	$0.775466\pi$
$240$	1.36428	+	0.787665i	0.0880636	+	0.0508436i
$241$	2.10234	+	3.64135i	0.135423	+	0.234560i	0.925759	−	0.378114i	$-0.123427\pi$
$241$	2.10234	+	3.64135i	0.135423	+	0.234560i	−0.790336	+	0.612674i	$0.790094\pi$
$242$	−22.7566	+	13.1385i	−1.46285	+	0.844577i
$243$	0.500000	−	0.866025i	0.0320750	−	0.0555556i
$244$			9.78824i			0.626628i
$245$	−6.50138	−	8.90694i	−0.415358	−	0.569044i
$246$		−	5.93014i		−	0.378092i
$247$	1.53202	−	29.0442i	0.0974798	−	1.84804i
$248$	−8.81363	+	5.08855i	−0.559666	+	0.323123i
$249$	4.53110	−	2.61603i	0.287147	−	0.165784i
$250$	−5.92193	+	10.2571i	−0.374536	+	0.648715i
$251$		−	1.75786i		−	0.110955i	−0.998460	−	0.0554777i	$-0.982332\pi$
$251$		−	1.75786i		−	0.110955i	0.998460	−	0.0554777i	$-0.0176682\pi$
$252$	2.58854	+	0.547225i	0.163063	+	0.0344719i
$253$	17.4154			1.09490
$254$	−0.654218	+	1.13314i	−0.0410493	+	0.0710995i
$255$	2.34151	+	4.05561i	0.146631	+	0.253972i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	9.81983	−	17.0084i	0.612544	−	1.06096i	−0.378266	−	0.925697i	$-0.623480\pi$
$257$	9.81983	−	17.0084i	0.612544	−	1.06096i	0.990810	−	0.135260i	$-0.0431871\pi$
$258$			5.81689i			0.362144i
$259$	−5.41398	−	4.86395i	−0.336408	−	0.302231i
$260$			10.5113i			0.651884i
$261$	−0.413785	−	0.238899i	−0.0256127	−	0.0147875i
$262$	5.19720	+	9.00182i	0.321084	+	0.556134i
$263$	−4.90114	−	8.48903i	−0.302217	−	0.523456i	0.674421	−	0.738347i	$-0.264394\pi$
$263$	−4.90114	−	8.48903i	−0.302217	−	0.523456i	−0.976638	+	0.214892i	$0.931060\pi$
$264$	−5.28751	−	3.05275i	−0.325424	−	0.187884i
$265$	0.435100			0.0267280
$266$	8.14851	−	8.16099i	0.499617	−	0.500382i
$267$	−1.11406			−0.0681794
$268$	−5.06382	−	2.92360i	−0.309322	−	0.178587i
$269$	−14.1691	−	24.5415i	−0.863903	−	1.49632i	−0.868132	−	0.496333i	$-0.834679\pi$
$269$	−14.1691	−	24.5415i	−0.863903	−	1.49632i	0.00422887	−	0.999991i	$-0.498654\pi$
$270$	0.787665	+	1.36428i	0.0479358	+	0.0830272i
$271$	−6.99951	−	4.04117i	−0.425190	−	0.245484i	0.272105	−	0.962267i	$-0.412280\pi$
$271$	−6.99951	−	4.04117i	−0.425190	−	0.245484i	−0.697295	+	0.716784i	$0.745613\pi$
$272$		−	2.97272i		−	0.180248i
$273$	5.47381	+	16.7836i	0.331290	+	1.01579i
$274$			1.17977i			0.0712726i
$275$	7.68784	−	13.3157i	0.463594	−	0.802969i
$276$	1.42621	+	2.47026i	0.0858476	+	0.148692i
$277$	−0.419722	−	0.726981i	−0.0252187	−	0.0436800i	0.853141	−	0.521681i	$-0.174695\pi$
$277$	−0.419722	−	0.726981i	−0.0252187	−	0.0436800i	−0.878359	+	0.478001i	$0.841362\pi$
$278$	−7.25836	+	12.5718i	−0.435327	+	0.754009i
$279$	−10.1771			−0.609287
$280$	−2.78547	+	3.10045i	−0.166464	+	0.185288i
$281$			12.5052i			0.745997i	0.927832	+	0.372998i	$0.121670\pi$
$281$			12.5052i			0.745997i	−0.927832	+	0.372998i	$0.878330\pi$
$282$	5.19860	−	9.00424i	0.309572	−	0.536195i
$283$	−12.4218	+	7.17175i	−0.738401	+	0.426316i	−0.821488	−	0.570226i	$-0.806856\pi$
$283$	−12.4218	+	7.17175i	−0.738401	+	0.426316i	0.0830866	+	0.996542i	$0.473522\pi$
$284$	11.1321	−	6.42714i	0.660571	−	0.381381i
$285$	6.85717	+	0.361701i	0.406184	+	0.0214253i
$286$		−	40.7386i		−	2.40893i
$287$	15.3504	+	3.24512i	0.906106	+	0.191553i
$288$		−	1.00000i		−	0.0589256i
$289$	−4.08147	+	7.06931i	−0.240086	+	0.415842i
$290$	0.651848	−	0.376345i	0.0382778	−	0.0220997i
$291$	−4.02026	−	6.96329i	−0.235672	−	0.408195i
$292$	14.1671	+	8.17935i	0.829064	+	0.478661i
$293$	−12.0915			−0.706392			−0.353196	−	0.935549i	$-0.614905\pi$
$293$	−12.0915			−0.706392			−0.353196	+	0.935549i	$0.614905\pi$
$294$	−2.83303	+	6.40109i	−0.165225	+	0.373319i
$295$		−	0.889767i		−	0.0518043i
$296$	−1.37541	+	2.38228i	−0.0799442	+	0.138467i
$297$	−3.05275	−	5.28751i	−0.177138	−	0.306813i
$298$	0.0338793	−	0.0195602i	0.00196258	−	0.00113309i
$299$	−9.51630	+	16.4827i	−0.550342	+	0.953220i
$300$	2.51834			0.145396
$301$	−15.0573	−	3.18315i	−0.867886	−	0.183473i
$302$	12.6694			0.729039
$303$	11.8342	+	6.83249i	0.679858	+	0.392516i
$304$	−3.65488	−	2.37527i	−0.209621	−	0.136231i
$305$	−7.70985	−	13.3539i	−0.441465	−	0.764640i
$306$	1.48636	−	2.57445i	0.0849696	−	0.147172i
$307$	−8.42738			−0.480976			−0.240488	−	0.970652i	$-0.577307\pi$
$307$	−8.42738			−0.480976			−0.240488	+	0.970652i	$0.577307\pi$
$308$	10.7956	−	12.0164i	0.615138	−	0.684698i
$309$	−8.67601			−0.493561
$310$	8.01615	−	13.8844i	0.455287	−	0.788580i
$311$	9.22959	−	5.32871i	0.523362	−	0.302163i	−0.214947	−	0.976626i	$-0.568958\pi$
$311$	9.22959	−	5.32871i	0.523362	−	0.302163i	0.738309	+	0.674462i	$0.235625\pi$
$312$	5.77851	−	3.33623i	0.327144	−	0.188877i
$313$	20.7293	+	11.9681i	1.17169	+	0.676474i	0.954077	−	0.299561i	$-0.0968404\pi$
$313$	20.7293	+	11.9681i	1.17169	+	0.676474i	0.217611	+	0.976036i	$0.430174\pi$
$314$	1.88676			0.106476
$315$	−3.96251	+	1.29234i	−0.223262	+	0.0728150i
$316$			4.43118i			0.249273i
$317$	1.31736	+	0.760580i	0.0739905	+	0.0427184i	0.536539	−	0.843876i	$-0.319731\pi$
$317$	1.31736	+	0.760580i	0.0739905	+	0.0427184i	−0.462548	+	0.886594i	$0.653065\pi$
$318$	−0.138098	−	0.239193i	−0.00774415	−	0.0134133i
$319$	−2.52636	+	1.45860i	−0.141449	+	0.0816657i
$320$	1.36428	+	0.787665i	0.0762653	+	0.0440318i
$321$			2.66732i			0.148875i
$322$	−7.17483	+	2.34001i	−0.399838	+	0.130403i
$323$	−5.87880	−	11.5475i	−0.327105	−	0.642518i
$324$	0.500000	−	0.866025i	0.0277778	−	0.0481125i
$325$	8.40174	+	14.5522i	0.466045	+	0.807213i
$326$	−5.23441	+	3.02209i	−0.289907	+	0.167378i
$327$	−6.72122	−	3.88050i	−0.371684	−	0.214592i
$328$		−	5.93014i		−	0.327437i
$329$	20.4630	+	18.3841i	1.12816	+	1.01355i
$330$	9.61817			0.529463
$331$	10.9713	+	6.33427i	0.603036	+	0.348163i	0.770235	−	0.637760i	$-0.220139\pi$
$331$	10.9713	+	6.33427i	0.603036	+	0.348163i	−0.167199	+	0.985923i	$0.553472\pi$
$332$	4.53110	−	2.61603i	0.248677	−	0.143574i
$333$	−2.38228	+	1.37541i	−0.130548	+	0.0753721i
$334$	−3.72260	−	2.14925i	−0.203692	−	0.117602i
$335$	9.21126			0.503265
$336$	2.58854	+	0.547225i	0.141216	+	0.0298536i
$337$		−	26.9933i		−	1.47042i	−0.677839	−	0.735211i	$-0.737083\pi$
$337$		−	26.9933i		−	1.47042i	0.677839	−	0.735211i	$-0.262917\pi$
$338$	27.2985	+	15.7608i	1.48484	+	0.857275i
$339$	−15.8670	+	9.16082i	−0.861777	+	0.497547i
$340$	2.34151	+	4.05561i	0.126986	+	0.219946i
$341$	−31.0681	+	53.8116i	−1.68243	+	2.91406i
$342$	−1.97758	−	3.88448i	−0.106935	−	0.210049i
$343$	−15.0192	−	10.8362i	−0.810960	−	0.585102i
$344$			5.81689i			0.313626i
$345$	−3.89148	−	2.24675i	−0.209510	−	0.120961i
$346$	−14.6484	+	8.45727i	−0.787504	+	0.454666i
$347$	−0.723870	−	1.25378i	−0.0388594	−	0.0673064i	0.845942	−	0.533276i	$-0.179039\pi$
$347$	−0.723870	−	1.25378i	−0.0388594	−	0.0673064i	−0.884801	+	0.465969i	$0.845706\pi$
$348$	−0.413785	−	0.238899i	−0.0221812	−	0.0128063i
$349$			3.00941i			0.161090i	0.996751	+	0.0805451i	$0.0256661\pi$
$349$			3.00941i			0.161090i	−0.996751	+	0.0805451i	$0.974334\pi$
$350$	−1.37810	+	6.51882i	−0.0736623	+	0.348445i
$351$	6.67245			0.356149
$352$	−5.28751	−	3.05275i	−0.281825	−	0.162712i
$353$	4.00122	−	2.31010i	0.212963	−	0.122954i	−0.389724	−	0.920932i	$-0.627430\pi$
$353$	4.00122	−	2.31010i	0.212963	−	0.122954i	0.602688	+	0.797977i	$0.294096\pi$
$354$	−0.489143	+	0.282407i	−0.0259976	+	0.0150097i
$355$	−10.1249	+	17.5368i	−0.537372	+	0.930756i
$356$	−1.11406			−0.0590451
$357$	5.85070	+	5.25631i	0.309652	+	0.278193i
$358$	8.02026			0.423884
$359$	−5.64976	+	9.78568i	−0.298183	+	0.516468i	−0.975720	−	0.219020i	$-0.929714\pi$
$359$	−5.64976	+	9.78568i	−0.298183	+	0.516468i	0.677537	+	0.735488i	$0.263047\pi$
$360$	0.787665	+	1.36428i	0.0415136	+	0.0719036i
$361$	−18.8946	−	1.99885i	−0.994451	−	0.105203i
$362$	5.98809	+	3.45723i	0.314727	+	0.181708i
$363$	−26.2771			−1.37919
$364$	5.47381	+	16.7836i	0.286906	+	0.879699i
$365$	−25.7704			−1.34888
$366$	−4.89412	+	8.47686i	−0.255820	+	0.443093i
$367$	−15.3571	+	8.86642i	−0.801633	+	0.462823i	−0.844042	−	0.536277i	$-0.819830\pi$
$367$	−15.3571	+	8.86642i	−0.801633	+	0.462823i	0.0424085	+	0.999100i	$0.486497\pi$
$368$	1.42621	+	2.47026i	0.0743462	+	0.128771i
$369$	2.96507	−	5.13565i	0.154355	−	0.267351i
$370$		−	4.33345i		−	0.225286i
$371$	0.694731	−	0.226580i	0.0360686	−	0.0117635i
$372$	−10.1771			−0.527658
$373$	19.9612	+	11.5246i	1.03355	+	0.596720i	0.917999	−	0.396582i	$-0.129804\pi$
$373$	19.9612	+	11.5246i	1.03355	+	0.596720i	0.115550	+	0.993302i	$0.463137\pi$
$374$	−9.07497	−	15.7183i	−0.469255	−	0.812774i
$375$	−10.2571	+	5.92193i	−0.529673	+	0.305807i
$376$	5.19860	−	9.00424i	0.268097	−	0.464358i
$377$		−	3.18809i		−	0.164195i
$378$	1.96813	+	1.76818i	0.101230	+	0.0909454i
$379$		−	23.5172i		−	1.20800i	−0.796985	−	0.604000i	$-0.793573\pi$
$379$		−	23.5172i		−	1.20800i	0.796985	−	0.604000i	$-0.206427\pi$
$380$	6.85717	+	0.361701i	0.351765	+	0.0185548i
$381$	−1.13314	+	0.654218i	−0.0580525	+	0.0335166i
$382$	2.77083	−	1.59974i	0.141768	−	0.0818498i
$383$	7.88258	−	13.6530i	0.402781	−	0.697637i	−0.591280	−	0.806467i	$-0.701377\pi$
$383$	7.88258	−	13.6530i	0.402781	−	0.697637i	0.994060	+	0.108830i	$0.0347103\pi$
$384$		−	1.00000i		−	0.0510310i
$385$	−5.26330	+	24.8970i	−0.268243	+	1.26887i
$386$	−11.8193			−0.601587
$387$	−2.90845	+	5.03757i	−0.147845	+	0.256074i
$388$	−4.02026	−	6.96329i	−0.204098	−	0.353508i
$389$	−14.1768	−	24.5550i	−0.718793	−	1.24499i	−0.961478	−	0.274881i	$-0.911361\pi$
$389$	−14.1768	−	24.5550i	−0.718793	−	1.24499i	0.242685	−	0.970105i	$-0.421972\pi$
$390$	−5.25566	+	9.10307i	−0.266131	+	0.460952i
$391$			8.47943i			0.428823i
$392$	−2.83303	+	6.40109i	−0.143089	+	0.323304i
$393$			10.3944i			0.524329i
$394$	15.2799	+	8.82184i	0.769789	+	0.444438i
$395$	−3.49028	−	6.04535i	−0.175615	−	0.304174i
$396$	−3.05275	−	5.28751i	−0.153406	−	0.265708i
$397$	16.9421	+	9.78150i	0.850298	+	0.490920i	0.860751	−	0.509026i	$-0.169994\pi$
$397$	16.9421	+	9.78150i	0.850298	+	0.490920i	−0.0104537	+	0.999945i	$0.503328\pi$
$398$	4.73638			0.237413
$399$	11.1373	−	2.99337i	0.557563	−	0.149856i
$400$	2.51834			0.125917
$401$	−21.1680	−	12.2213i	−1.05708	−	0.610305i	−0.132456	−	0.991189i	$-0.542286\pi$
$401$	−21.1680	−	12.2213i	−1.05708	−	0.610305i	−0.924623	+	0.380884i	$0.875620\pi$
$402$	−2.92360	−	5.06382i	−0.145816	−	0.252560i
$403$	−33.9531	−	58.8085i	−1.69133	−	2.92946i
$404$	11.8342	+	6.83249i	0.588774	+	0.339929i
$405$			1.57533i			0.0782788i
$406$	0.844833	−	0.940369i	0.0419284	−	0.0466697i
$407$			16.7951i			0.832504i
$408$	1.48636	−	2.57445i	0.0735858	−	0.127454i
$409$	−2.76636	−	4.79147i	−0.136787	−	0.236923i	0.789491	−	0.613762i	$-0.210344\pi$
$409$	−2.76636	−	4.79147i	−0.136787	−	0.236923i	−0.926279	+	0.376839i	$0.877011\pi$
$410$	4.67097	+	8.09035i	0.230683	+	0.399554i
$411$	−0.589886	+	1.02171i	−0.0290969	+	0.0503973i
$412$	−8.67601			−0.427436
$413$	−0.463350	−	1.42071i	−0.0228000	−	0.0699084i
$414$			2.85241i			0.140188i
$415$	−4.12112	+	7.13798i	−0.202298	+	0.350390i
$416$	5.77851	−	3.33623i	0.283315	−	0.163572i
$417$	−12.5718	+	7.25836i	−0.615646	+	0.355443i
$418$	−26.5763	−	1.40184i	−1.29989	−	0.0685663i
$419$		−	35.2251i		−	1.72086i	−0.509570	−	0.860429i	$-0.670195\pi$
$419$		−	35.2251i		−	1.72086i	0.509570	−	0.860429i	$-0.329805\pi$
$420$	−3.96251	+	1.29234i	−0.193351	+	0.0630596i
$421$			36.7150i			1.78938i	0.446688	+	0.894690i	$0.352603\pi$
$421$			36.7150i			1.78938i	−0.446688	+	0.894690i	$0.647397\pi$
$422$	−2.88874	+	5.00344i	−0.140622	+	0.243564i
$423$	9.00424	−	5.19860i	0.437801	−	0.252765i
$424$	−0.138098	−	0.239193i	−0.00670663	−	0.0116162i
$425$	6.48333	+	3.74315i	0.314488	+	0.181570i
$426$	12.8543			0.622792
$427$	−19.2645	−	17.3074i	−0.932276	−	0.837563i
$428$			2.66732i			0.128930i
$429$	20.3693	−	35.2807i	0.983440	−	1.70337i
$430$	−4.58176	−	7.93584i	−0.220952	−	0.382700i
$431$	−4.73634	+	2.73453i	−0.228142	+	0.131718i	−0.609714	−	0.792621i	$-0.708716\pi$
$431$	−4.73634	+	2.73453i	−0.228142	+	0.131718i	0.381573	+	0.924339i	$0.375383\pi$
$432$	0.500000	−	0.866025i	0.0240563	−	0.0416667i
$433$	30.4415			1.46292			0.731461	−	0.681883i	$-0.238839\pi$
$433$	30.4415			1.46292			0.731461	+	0.681883i	$0.238839\pi$
$434$	5.56916	−	26.3439i	0.267328	−	1.26455i
$435$	0.752690			0.0360887
$436$	−6.72122	−	3.88050i	−0.321888	−	0.185842i
$437$	10.4252	+	6.77524i	0.498706	+	0.324104i
$438$	8.17935	+	14.1671i	0.390825	+	0.676928i
$439$	−4.75612	+	8.23785i	−0.226997	+	0.393171i	−0.956917	−	0.290362i	$-0.906224\pi$
$439$	−4.75612	+	8.23785i	−0.226997	+	0.393171i	0.729919	+	0.683533i	$0.239558\pi$
$440$	9.61817			0.458528
$441$	−5.65402	+	4.12699i	−0.269239	+	0.196523i
$442$	19.8353			0.943471
$443$	3.41700	−	5.91841i	0.162346	−	0.281192i	−0.773363	−	0.633963i	$-0.781427\pi$
$443$	3.41700	−	5.91841i	0.162346	−	0.281192i	0.935710	+	0.352771i	$0.114760\pi$
$444$	−2.38228	+	1.37541i	−0.113058	+	0.0652741i
$445$	1.51989	−	0.877506i	0.0720495	−	0.0415978i
$446$	14.6676	+	8.46832i	0.694529	+	0.400987i
$447$	0.0391205			0.00185033
$448$	2.58854	+	0.547225i	0.122297	+	0.0258539i
$449$		−	14.9292i		−	0.704555i	−0.935896	−	0.352277i	$-0.885407\pi$
$449$		−	14.9292i		−	0.704555i	0.935896	−	0.352277i	$-0.114593\pi$
$450$	2.18094	+	1.25917i	0.102811	+	0.0593577i
$451$	−18.1032	−	31.3557i	−0.852448	−	1.47648i
$452$	−15.8670	+	9.16082i	−0.746321	+	0.430889i
$453$	10.9720	+	6.33468i	0.515509	+	0.297629i
$454$			4.38773i			0.205926i
$455$	−20.6876	−	18.5859i	−0.969851	−	0.871321i
$456$	−1.97758	−	3.88448i	−0.0926087	−	0.181907i
$457$	−18.3242	+	31.7385i	−0.857172	+	1.48466i	0.0174440	+	0.999848i	$0.494447\pi$
$457$	−18.3242	+	31.7385i	−0.857172	+	1.48466i	−0.874616	+	0.484817i	$0.838886\pi$
$458$	−12.8535	−	22.2630i	−0.600606	−	1.04028i
$459$	2.57445	−	1.48636i	0.120165	−	0.0693773i
$460$	−3.89148	−	2.24675i	−0.181441	−	0.104755i
$461$			24.1609i			1.12528i	0.826701	+	0.562642i	$0.190215\pi$
$461$			24.1609i			1.12528i	−0.826701	+	0.562642i	$0.809785\pi$
$462$	15.3575	−	5.00871i	0.714495	−	0.233026i
$463$	16.6068			0.771781			0.385891	−	0.922545i	$-0.373894\pi$
$463$	16.6068			0.771781			0.385891	+	0.922545i	$0.373894\pi$
$464$	−0.413785	−	0.238899i	−0.0192095	−	0.0110906i
$465$	13.8844	−	8.01615i	0.643873	−	0.371740i
$466$	−20.0979	+	11.6035i	−0.931019	+	0.537524i
$467$	7.29670	+	4.21275i	0.337651	+	0.194943i	0.659233	−	0.751939i	$-0.270881\pi$
$467$	7.29670	+	4.21275i	0.337651	+	0.194943i	−0.321582	+	0.946882i	$0.604215\pi$
$468$	6.67245			0.308434
$469$	14.7078	−	4.79680i	0.679141	−	0.221496i
$470$			16.3790i			0.755508i
$471$	1.63398	+	0.943380i	0.0752899	+	0.0434687i
$472$	−0.489143	+	0.282407i	−0.0225146	+	0.0129988i
$473$	17.7575	+	30.7569i	0.816491	+	1.41420i
$474$	−2.21559	+	3.83751i	−0.101765	+	0.176263i
$475$	9.78242	−	4.98021i	0.448848	−	0.228508i
$476$	5.85070	+	5.25631i	0.268166	+	0.240922i
$477$		−	0.276196i		−	0.0126461i
$478$	−20.3867	−	11.7703i	−0.932466	−	0.538360i
$479$	26.6640	−	15.3944i	1.21831	−	0.703390i	0.253751	−	0.967269i	$-0.418335\pi$
$479$	26.6640	−	15.3944i	1.21831	−	0.703390i	0.964556	+	0.263880i	$0.0850022\pi$
$480$	0.787665	+	1.36428i	0.0359518	+	0.0622704i
$481$	−15.8957	−	9.17737i	−0.724780	−	0.418452i
$482$			4.20467i			0.191518i
$483$	−7.38359	−	1.56091i	−0.335965	−	0.0710239i
$484$	−26.2771			−1.19441
$485$	10.9695	+	6.33323i	0.498098	+	0.287577i
$486$	0.866025	−	0.500000i	0.0392837	−	0.0226805i
$487$	−19.6599	+	11.3507i	−0.890877	+	0.514348i	−0.874229	−	0.485513i	$-0.838633\pi$
$487$	−19.6599	+	11.3507i	−0.890877	+	0.514348i	−0.0166480	+	0.999861i	$0.505299\pi$
$488$	−4.89412	+	8.47686i	−0.221546	+	0.383730i
$489$	−6.04418			−0.273327
$490$	−1.17688	−	10.9643i	−0.0531662	−	0.495318i
$491$	−22.9743			−1.03681			−0.518407	−	0.855134i	$-0.673475\pi$
$491$	−22.9743			−1.03681			−0.518407	+	0.855134i	$0.673475\pi$
$492$	2.96507	−	5.13565i	0.133676	−	0.231533i
$493$	−0.710180	−	1.23007i	−0.0319849	−	0.0553995i
$494$	15.8489	−	24.3870i	0.713074	−	1.09722i
$495$	8.32958	+	4.80909i	0.374387	+	0.216152i
$496$	−10.1771			−0.456965
$497$	−7.03418	+	33.2738i	−0.315526	+	1.49254i
$498$	5.23207			0.234455
$499$	−10.9126	+	18.9012i	−0.488515	+	0.846134i	−0.999913	−	0.0132109i	$-0.995795\pi$
$499$	−10.9126	+	18.9012i	−0.488515	+	0.846134i	0.511397	+	0.859344i	$0.329128\pi$
$500$	−10.2571	+	5.92193i	−0.458711	+	0.264837i
$501$	−2.14925	−	3.72260i	−0.0960213	−	0.166314i
$502$	0.878932	−	1.52235i	0.0392286	−	0.0679460i
$503$			26.3488i			1.17484i	0.809283	+	0.587419i	$0.199856\pi$
$503$			26.3488i			1.17484i	−0.809283	+	0.587419i	$0.800144\pi$
$504$	1.96813	+	1.76818i	0.0876675	+	0.0787610i
$505$	−21.5268			−0.957932
$506$	15.0822	+	8.70770i	0.670485	+	0.387104i
$507$	15.7608	+	27.2985i	0.699962	+	1.21237i
$508$	−1.13314	+	0.654218i	−0.0502749	+	0.0290262i
$509$	−5.65172	+	9.78906i	−0.250508	+	0.433893i	−0.963666	−	0.267111i	$-0.913931\pi$
$509$	−5.65172	+	9.78906i	−0.250508	+	0.433893i	0.713158	+	0.701004i	$0.247264\pi$
$510$			4.68301i			0.207367i
$511$	−41.1480	+	13.4200i	−1.82028	+	0.593667i
$512$		−	1.00000i		−	0.0441942i
$513$	0.229603	−	4.35285i	0.0101372	−	0.192183i
$514$	17.0084	−	9.81983i	0.750210	−	0.433134i
$515$	11.8365	−	6.83379i	0.521577	−	0.301133i
$516$	−2.90845	+	5.03757i	−0.128037	+	0.221767i
$517$		−	63.4801i		−	2.79185i
$518$	−2.25667	−	6.91929i	−0.0991522	−	0.304016i
$519$	−16.9145			−0.742466
$520$	−5.25566	+	9.10307i	−0.230476	+	0.399196i
$521$	8.16119	+	14.1356i	0.357548	+	0.619292i	0.987551	−	0.157302i	$-0.0502795\pi$
$521$	8.16119	+	14.1356i	0.357548	+	0.619292i	−0.630002	+	0.776593i	$0.716946\pi$
$522$	−0.238899	−	0.413785i	−0.0104563	−	0.0181109i
$523$	8.36752	−	14.4930i	0.365886	−	0.633734i	−0.623032	−	0.782197i	$-0.714099\pi$
$523$	8.36752	−	14.4930i	0.365886	−	0.633734i	0.988918	+	0.148463i	$0.0474326\pi$
$524$			10.3944i			0.454082i
$525$	−4.45287	+	4.95641i	−0.194339	+	0.216316i
$526$		−	9.80228i		−	0.427400i
$527$	−26.2005	−	15.1268i	−1.14131	−	0.658936i
$528$	−3.05275	−	5.28751i	−0.132854	−	0.230110i
$529$	7.43187	+	12.8724i	0.323125	+	0.559668i
$530$	0.376807	+	0.217550i	0.0163675	+	0.00944976i
$531$	−0.564813			−0.0245108
$532$	11.1373	−	2.99337i	0.482864	−	0.129779i
$533$	39.5686			1.71391
$534$	−0.964804	−	0.557030i	−0.0417512	−	0.0241050i
$535$	−2.10095	−	3.63896i	−0.0908321	−	0.157326i
$536$	−2.92360	−	5.06382i	−0.126280	−	0.218724i
$537$	6.94575	+	4.01013i	0.299731	+	0.173050i
$538$		−	28.3381i		−	1.22174i
$539$	4.56124	+	42.4944i	0.196467	+	1.83036i
$540$			1.57533i			0.0677914i
$541$	−7.84298	+	13.5844i	−0.337196	+	0.584041i	−0.983904	−	0.178697i	$-0.942812\pi$
$541$	−7.84298	+	13.5844i	−0.337196	+	0.584041i	0.646708	+	0.762738i	$0.276145\pi$
$542$	−4.04117	−	6.99951i	−0.173583	−	0.300655i
$543$	3.45723	+	5.98809i	0.148364	+	0.256974i
$544$	1.48636	−	2.57445i	0.0637272	−	0.110379i
$545$	12.2261			0.523710
$546$	−3.65133	+	17.2719i	−0.156263	+	0.739170i
$547$		−	34.9002i		−	1.49223i	−0.665820	−	0.746113i	$-0.731918\pi$
$547$		−	34.9002i		−	1.49223i	0.665820	−	0.746113i	$-0.268082\pi$
$548$	−0.589886	+	1.02171i	−0.0251987	+	0.0436454i
$549$	−8.47686	+	4.89412i	−0.361784	+	0.208876i
$550$	13.3157	−	7.68784i	0.567785	−	0.327811i
$551$	−2.07978	−	0.109704i	−0.0886017	−	0.00467354i
$552$			2.85241i			0.121407i
$553$	−8.72113	−	7.83512i	−0.370860	−	0.333183i
$554$		−	0.839445i		−	0.0356646i
$555$	2.16673	−	3.75288i	0.0919724	−	0.159301i
$556$	−12.5718	+	7.25836i	−0.533165	+	0.307823i
$557$	−4.20069	−	7.27581i	−0.177989	−	0.308286i	0.763203	−	0.646159i	$-0.223626\pi$
$557$	−4.20069	−	7.27581i	−0.177989	−	0.308286i	−0.941192	+	0.337873i	$0.890292\pi$
$558$	−8.81363	−	5.08855i	−0.373111	−	0.215416i
$559$	−38.8129			−1.64161
$560$	−3.96251	+	1.29234i	−0.167447	+	0.0546112i
$561$		−	18.1499i		−	0.766291i
$562$	−6.25259	+	10.8298i	−0.263750	+	0.456828i
$563$	17.5032	+	30.3165i	0.737673	+	1.27769i	0.953541	+	0.301264i	$0.0974087\pi$
$563$	17.5032	+	30.3165i	0.737673	+	1.27769i	−0.215868	+	0.976423i	$0.569258\pi$
$564$	9.00424	−	5.19860i	0.379147	−	0.218901i
$565$	14.4313	−	24.9958i	0.607130	−	1.05158i
$566$	−14.3435			−0.602902
$567$	0.820360	+	2.51535i	0.0344519	+	0.105635i
$568$	12.8543			0.539354
$569$	2.99814	+	1.73098i	0.125689	+	0.0725664i	0.561526	−	0.827459i	$-0.310214\pi$
$569$	2.99814	+	1.73098i	0.125689	+	0.0725664i	−0.435837	+	0.900025i	$0.643548\pi$
$570$	5.75763	+	3.74183i	0.241161	+	0.156728i
$571$	6.98080	+	12.0911i	0.292137	+	0.505997i	0.974315	−	0.225190i	$-0.0723002\pi$
$571$	6.98080	+	12.0911i	0.292137	+	0.505997i	−0.682178	+	0.731187i	$0.738967\pi$
$572$	20.3693	−	35.2807i	0.851684	−	1.47516i
$573$	3.19948			0.133660
$574$	11.6713	+	10.4856i	0.487150	+	0.437659i
$575$	−7.18333			−0.299566
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	−8.12910	+	4.69334i	−0.338419	+	0.195386i	−0.659573	−	0.751641i	$-0.729263\pi$
$577$	−8.12910	+	4.69334i	−0.338419	+	0.195386i	0.321154	+	0.947027i	$0.395929\pi$
$578$	−7.06931	+	4.08147i	−0.294044	+	0.169767i
$579$	−10.2358	−	5.90965i	−0.425386	−	0.245597i
$580$	0.752690			0.0312537
$581$	−2.86312	+	13.5434i	−0.118782	+	0.561876i
$582$		−	8.04052i		−	0.333290i
$583$	−1.46039	−	0.843156i	−0.0604832	−	0.0349200i
$584$	8.17935	+	14.1671i	0.338464	+	0.586237i
$585$	−9.10307	+	5.25566i	−0.376365	+	0.217295i
$586$	−10.4715	−	6.04574i	−0.432575	−	0.249747i
$587$		−	26.9178i		−	1.11102i	−0.831511	−	0.555508i	$-0.812524\pi$
$587$		−	26.9178i		−	1.11102i	0.831511	−	0.555508i	$-0.187476\pi$
$588$	−5.65402	+	4.12699i	−0.233168	+	0.170194i
$589$	−39.5327	+	20.1261i	−1.62892	+	0.829280i
$590$	0.444884	−	0.770561i	0.0183156	−	0.0317235i
$591$	8.82184	+	15.2799i	0.362882	+	0.628530i
$592$	−2.38228	+	1.37541i	−0.0979112	+	0.0565291i
$593$	−27.6940	−	15.9891i	−1.13726	−	0.656595i	−0.191506	−	0.981492i	$-0.561337\pi$
$593$	−27.6940	−	15.9891i	−1.13726	−	0.656595i	−0.945749	+	0.324897i	$0.894670\pi$
$594$		−	6.10550i		−	0.250512i
$595$	−12.1222	−	2.56266i	−0.496961	−	0.105059i
$596$	0.0391205			0.00160244
$597$	4.10182	+	2.36819i	0.167876	+	0.0969235i
$598$	−16.4827	+	9.51630i	−0.674028	+	0.389150i
$599$	−26.8765	+	15.5171i	−1.09814	+	0.634013i	−0.935733	−	0.352710i	$-0.885260\pi$
$599$	−26.8765	+	15.5171i	−1.09814	+	0.634013i	−0.162410	+	0.986723i	$0.551927\pi$
$600$	2.18094	+	1.25917i	0.0890366	+	0.0514053i
$601$	−4.98121			−0.203188			−0.101594	−	0.994826i	$-0.532394\pi$
$601$	−4.98121			−0.203188			−0.101594	+	0.994826i	$0.532394\pi$
$602$	−11.4484	−	10.2853i	−0.466602	−	0.419198i
$603$		−	5.84719i		−	0.238116i
$604$	10.9720	+	6.33468i	0.446444	+	0.257754i
$605$	35.8492	−	20.6975i	1.45748	−	0.841474i
$606$	6.83249	+	11.8342i	0.277551	+	0.480732i
$607$	−3.02802	+	5.24468i	−0.122904	+	0.212875i	−0.920911	−	0.389772i	$-0.872554\pi$
$607$	−3.02802	+	5.24468i	−0.122904	+	0.212875i	0.798008	+	0.602647i	$0.205887\pi$
$608$	−1.97758	−	3.88448i	−0.0802015	−	0.157536i
$609$	1.20183	−	0.391966i	0.0487007	−	0.0158833i
$610$		−	15.4197i		−	0.624326i
$611$	60.0804	+	34.6874i	2.43059	+	1.40330i
$612$	2.57445	−	1.48636i	0.104066	−	0.0600825i
$613$	18.8527	+	32.6538i	0.761452	+	1.31887i	0.942102	+	0.335326i	$0.108846\pi$
$613$	18.8527	+	32.6538i	0.761452	+	1.31887i	−0.180650	+	0.983547i	$0.557820\pi$
$614$	−7.29832	−	4.21369i	−0.294536	−	0.170051i
$615$			9.34193i			0.376703i
$616$	15.3575	−	5.00871i	0.618771	−	0.201806i
$617$	30.0744			1.21075			0.605374	−	0.795941i	$-0.293024\pi$
$617$	30.0744			1.21075			0.605374	+	0.795941i	$0.293024\pi$
$618$	−7.51365	−	4.33801i	−0.302243	−	0.174500i
$619$	12.6291	−	7.29142i	0.507607	−	0.293067i	−0.224243	−	0.974533i	$-0.571991\pi$
$619$	12.6291	−	7.29142i	0.507607	−	0.293067i	0.731849	+	0.681466i	$0.238657\pi$
$620$	13.8844	−	8.01615i	0.557610	−	0.321936i
$621$	−1.42621	+	2.47026i	−0.0572317	+	0.0991282i
$622$	10.6574			0.427323
$623$	1.96986	−	2.19262i	0.0789208	−	0.0878453i
$624$	6.67245			0.267112
$625$	3.03315	−	5.25358i	0.121326	−	0.210143i
$626$	11.9681	+	20.7293i	0.478340	+	0.828508i
$627$	−22.3148	−	14.5022i	−0.891168	−	0.579161i
$628$	1.63398	+	0.943380i	0.0652030	+	0.0376450i
$629$	−8.17743			−0.326055
$630$	−4.07781	−	0.862059i	−0.162464	−	0.0343453i
$631$	5.40925			0.215339			0.107669	−	0.994187i	$-0.465661\pi$
$631$	5.40925			0.215339			0.107669	+	0.994187i	$0.465661\pi$
$632$	−2.21559	+	3.83751i	−0.0881314	+	0.152648i
$633$	−5.00344	+	2.88874i	−0.198869	+	0.114817i
$634$	0.760580	+	1.31736i	0.0302065	+	0.0523192i
$635$	1.03061	−	1.78507i	0.0408985	−	0.0708383i
$636$		−	0.276196i		−	0.0109519i
$637$	−42.7110	−	18.9032i	−1.69227	−	0.748974i
$638$	−2.91719			−0.115493
$639$	11.1321	+	6.42714i	0.440381	+	0.254254i
$640$	0.787665	+	1.36428i	0.0311352	+	0.0539277i
$641$	38.3592	−	22.1467i	1.51510	−	0.874741i	0.515253	−	0.857038i	$-0.327698\pi$
$641$	38.3592	−	22.1467i	1.51510	−	0.874741i	0.999843	−	0.0177034i	$-0.00563546\pi$
$642$	−1.33366	+	2.30996i	−0.0526353	+	0.0911670i
$643$		−	45.1148i		−	1.77916i	−0.456784	−	0.889578i	$-0.650999\pi$
$643$		−	45.1148i		−	1.77916i	0.456784	−	0.889578i	$-0.349001\pi$
$644$	−7.38359	−	1.56091i	−0.290954	−	0.0615085i
$645$		−	9.16352i		−	0.360813i
$646$	0.682546	−	12.9398i	0.0268544	−	0.509110i
$647$	22.8207	−	13.1756i	0.897175	−	0.517984i	0.0208925	−	0.999782i	$-0.493349\pi$
$647$	22.8207	−	13.1756i	0.897175	−	0.517984i	0.876283	+	0.481797i	$0.160016\pi$
$648$	0.866025	−	0.500000i	0.0340207	−	0.0196419i
$649$	−1.72423	+	2.98646i	−0.0676820	+	0.117229i
$650$			16.8035i			0.659087i
$651$	17.9950	−	20.0299i	0.705278	−	0.785032i
$652$	−6.04418			−0.236708
$653$	−2.68313	+	4.64731i	−0.104999	+	0.181863i	−0.913738	−	0.406304i	$-0.866817\pi$
$653$	−2.68313	+	4.64731i	−0.104999	+	0.181863i	0.808739	+	0.588168i	$0.200151\pi$
$654$	−3.88050	−	6.72122i	−0.151740	−	0.262821i
$655$	−8.18731	−	14.1808i	−0.319905	−	0.554091i
$656$	2.96507	−	5.13565i	0.115767	−	0.200514i
$657$			16.3587i			0.638214i
$658$	8.52945	+	26.1527i	0.332513	+	1.01954i
$659$		−	43.4924i		−	1.69422i	−0.531414	−	0.847112i	$-0.678339\pi$
$659$		−	43.4924i		−	1.69422i	0.531414	−	0.847112i	$-0.321661\pi$
$660$	8.32958	+	4.80909i	0.324228	+	0.187193i
$661$	−7.64898	−	13.2484i	−0.297511	−	0.515304i	0.678055	−	0.735011i	$-0.262823\pi$
$661$	−7.64898	−	13.2484i	−0.297511	−	0.515304i	−0.975566	+	0.219707i	$0.929490\pi$
$662$	6.33427	+	10.9713i	0.246189	+	0.426411i
$663$	17.1779	+	9.91767i	0.667135	+	0.385170i
$664$	5.23207			0.203044
$665$	−12.8366	+	12.8563i	−0.497782	+	0.498544i
$666$	−2.75082			−0.106592
$667$	1.18029	+	0.681439i	0.0457009	+	0.0263854i
$668$	−2.14925	−	3.72260i	−0.0831569	−	0.144032i
$669$	8.46832	+	14.6676i	0.327404	+	0.567081i
$670$	7.97718	+	4.60563i	0.308185	+	0.177931i
$671$			59.7621i			2.30709i
$672$	1.96813	+	1.76818i	0.0759223	+	0.0682091i
$673$			29.7280i			1.14593i	0.819580	+	0.572965i	$0.194207\pi$
$673$			29.7280i			1.14593i	−0.819580	+	0.572965i	$0.805793\pi$
$674$	13.4967	−	23.3769i	0.519872	−	0.900446i
$675$	1.25917	+	2.18094i	0.0484654	+	0.0839445i
$676$	15.7608	+	27.2985i	0.606185	+	1.04994i
$677$	16.1191	−	27.9191i	0.619508	−	1.07302i	−0.370068	−	0.929005i	$-0.620665\pi$
$677$	16.1191	−	27.9191i	0.619508	−	1.07302i	0.989576	−	0.144014i	$-0.0460012\pi$
$678$	−18.3216			−0.703638
$679$	20.8132	+	4.39997i	0.798738	+	0.168855i
$680$			4.68301i			0.179585i
$681$	−2.19387	+	3.79989i	−0.0840691	+	0.145612i
$682$	−53.8116	+	31.0681i	−2.06055	+	1.18966i
$683$	38.2245	−	22.0689i	1.46262	−	0.844443i	0.463487	−	0.886104i	$-0.346598\pi$
$683$	38.2245	−	22.0689i	1.46262	−	0.844443i	0.999132	+	0.0416603i	$0.0132647\pi$
$684$	0.229603	−	4.35285i	0.00877909	−	0.166435i
$685$		−	1.85853i		−	0.0710107i
$686$	−7.58887	−	16.8941i	−0.289745	−	0.645018i
$687$		−	25.7071i		−	0.980786i
$688$	−2.90845	+	5.03757i	−0.110883	+	0.192056i
$689$	1.59600	−	0.921452i	0.0608028	−	0.0351045i
$690$	−2.24675	−	3.89148i	−0.0855322	−	0.148146i
$691$	33.6115	+	19.4056i	1.27864	+	0.738225i	0.976599	−	0.215069i	$-0.0689976\pi$
$691$	33.6115	+	19.4056i	1.27864	+	0.738225i	0.302044	+	0.953294i	$0.402331\pi$
$692$	−16.9145			−0.642994
$693$	15.8043	+	3.34108i	0.600357	+	0.126917i
$694$		−	1.44774i		−	0.0549554i
$695$	11.4343	−	19.8048i	0.433728	−	0.751239i
$696$	−0.238899	−	0.413785i	−0.00905544	−	0.0156845i
$697$	15.2669	−	8.81433i	0.578274	−	0.333866i
$698$	−1.50471	+	2.60623i	−0.0569540	+	0.0986472i
$699$	−23.2071			−0.877773
$700$	−4.45287	+	4.95641i	−0.168303	+	0.187335i
$701$	−12.5172			−0.472768			−0.236384	−	0.971660i	$-0.575962\pi$
$701$	−12.5172			−0.472768			−0.236384	+	0.971660i	$0.575962\pi$
$702$	5.77851	+	3.33623i	0.218096	+	0.125918i
$703$	−6.53394	+	10.0539i	−0.246432	+	0.379191i
$704$	−3.05275	−	5.28751i	−0.115055	−	0.199281i
$705$	−8.18951	+	14.1847i	−0.308435	+	0.534225i
$706$	4.62021			0.173884
$707$	−34.3723	+	11.2102i	−1.29270	+	0.421603i
$708$	−0.564813			−0.0212270
$709$	16.3595	−	28.3355i	0.614395	−	1.06416i	−0.376095	−	0.926581i	$-0.622733\pi$
$709$	16.3595	−	28.3355i	0.614395	−	1.06416i	0.990490	−	0.137583i	$-0.0439333\pi$
$710$	−17.5368	+	10.1249i	−0.658144	+	0.379980i
$711$	−3.83751	+	2.21559i	−0.143918	+	0.0830911i
$712$	−0.964804	−	0.557030i	−0.0361576	−	0.0208756i
$713$	29.0293			1.08716
$714$	2.43870	+	7.47745i	0.0912661	+	0.279836i
$715$			64.1768i			2.40008i
$716$	6.94575	+	4.01013i	0.259575	+	0.149866i
$717$	−11.7703	−	20.3867i	−0.439569	−	0.761355i
$718$	−9.78568	+	5.64976i	−0.365198	+	0.210847i
$719$	8.03305	+	4.63788i	0.299582	+	0.172964i	0.642255	−	0.766491i	$-0.277999\pi$
$719$	8.03305	+	4.63788i	0.299582	+	0.172964i	−0.342673	+	0.939455i	$0.611332\pi$
$720$			1.57533i			0.0587091i
$721$	15.3408	−	17.0755i	0.571320	−	0.635926i
$722$	−15.3637	−	11.1783i	−0.571779	−	0.416015i
$723$	−2.10234	+	3.64135i	−0.0781867	+	0.135423i
$724$	3.45723	+	5.98809i	0.128487	+	0.222546i
$725$	1.04205	−	0.601628i	0.0387008	−	0.0223439i
$726$	−22.7566	−	13.1385i	−0.844577	−	0.487617i
$727$			28.1948i			1.04569i	0.852429	+	0.522843i	$0.175129\pi$
$727$			28.1948i			1.04569i	−0.852429	+	0.522843i	$0.824871\pi$
$728$	−3.65133	+	17.2719i	−0.135327	+	0.640140i
$729$	1.00000			0.0370370
$730$	−22.3178	−	12.8852i	−0.826018	−	0.476902i
$731$	−14.9753	+	8.64599i	−0.553881	+	0.319784i
$732$	−8.47686	+	4.89412i	−0.313314	+	0.180892i
$733$	25.5424	+	14.7469i	0.943430	+	0.544689i	0.891034	−	0.453937i	$-0.149981\pi$
$733$	25.5424	+	14.7469i	0.943430	+	0.544689i	0.0523960	+	0.998626i	$0.483314\pi$
$734$	−17.7328			−0.654531
$735$	4.46295	−	10.0838i	0.164618	−	0.371948i
$736$			2.85241i			0.105141i
$737$	−30.9171	−	17.8500i	−1.13885	−	0.657513i
$738$	5.13565	−	2.96507i	0.189046	−	0.109146i
$739$	13.7448	+	23.8067i	0.505610	+	0.875743i	0.999979	+	0.00649057i	$0.00206603\pi$
$739$	13.7448	+	23.8067i	0.505610	+	0.875743i	−0.494368	+	0.869252i	$0.664601\pi$
$740$	2.16673	−	3.75288i	0.0796505	−	0.137959i
$741$	25.9190	−	13.1953i	0.952158	−	0.484742i
$742$	0.714944	+	0.151141i	0.0262464	+	0.00554857i
$743$			37.9975i			1.39399i	0.717075	+	0.696996i	$0.245480\pi$
$743$			37.9975i			1.39399i	−0.717075	+	0.696996i	$0.754520\pi$
$744$	−8.81363	−	5.08855i	−0.323123	−	0.186555i
$745$	−0.0533711	+	0.0308138i	−0.00195537	+	0.00112893i
$746$	11.5246	+	19.9612i	0.421945	+	0.730830i
$747$	4.53110	+	2.61603i	0.165784	+	0.0957157i
$748$		−	18.1499i		−	0.663627i
$749$	−5.24963	−	4.71630i	−0.191817	−	0.172330i
$750$	−11.8439			−0.432477
$751$	−15.3608	−	8.86858i	−0.560524	−	0.323619i	0.192832	−	0.981232i	$-0.438233\pi$
$751$	−15.3608	−	8.86858i	−0.560524	−	0.323619i	−0.753356	+	0.657613i	$0.771566\pi$
$752$	9.00424	−	5.19860i	0.328351	−	0.189574i
$753$	1.52235	−	0.878932i	0.0554777	−	0.0320300i
$754$	1.59404	−	2.76096i	0.0580516	−	0.100548i
$755$	−19.9584			−0.726361
$756$	0.820360	+	2.51535i	0.0298362	+	0.0914826i
$757$	−4.20785			−0.152937			−0.0764684	−	0.997072i	$-0.524364\pi$
$757$	−4.20785			−0.152937			−0.0764684	+	0.997072i	$0.524364\pi$
$758$	11.7586	−	20.3665i	0.427092	−	0.739746i
$759$	8.70770	+	15.0822i	0.316069	+	0.547448i
$760$	5.75763	+	3.74183i	0.208851	+	0.135730i
$761$	−42.2181	−	24.3746i	−1.53041	−	0.883580i	−0.999343	−	0.0362469i	$-0.988460\pi$
$761$	−42.2181	−	24.3746i	−1.53041	−	0.883580i	−0.531062	−	0.847333i	$-0.678207\pi$
$762$	−1.30844			−0.0473997
$763$	19.5217	−	6.36681i	0.706732	−	0.230494i
$764$	3.19948			0.115753
$765$	−2.34151	+	4.05561i	−0.0846574	+	0.146631i
$766$	13.6530	−	7.88258i	0.493304	−	0.284809i
$767$	−1.88435	−	3.26378i	−0.0680398	−	0.117848i
$768$	0.500000	−	0.866025i	0.0180422	−	0.0312500i
$769$		−	27.8079i		−	1.00278i	−0.865222	−	0.501388i	$-0.832823\pi$
$769$		−	27.8079i		−	1.00278i	0.865222	−	0.501388i	$-0.167177\pi$
$770$	−17.0067	+	18.9298i	−0.612878	+	0.682183i
$771$	19.6397			0.707305
$772$	−10.2358	−	5.90965i	−0.368395	−	0.212693i
$773$	11.1221	+	19.2640i	0.400034	+	0.692879i	0.993729	−	0.111811i	$-0.0356651\pi$
$773$	11.1221	+	19.2640i	0.400034	+	0.692879i	−0.593696	+	0.804689i	$0.702332\pi$
$774$	−5.03757	+	2.90845i	−0.181072	+	0.104542i
$775$	12.8147	−	22.1957i	0.460317	−	0.797292i
$776$		−	8.04052i		−	0.288638i
$777$	1.50532	−	7.12062i	0.0540030	−	0.255451i
$778$		−	28.3536i		−	1.01653i
$779$	1.36158	−	25.8130i	0.0487836	−	0.924847i
$780$	−9.10307	+	5.25566i	−0.325942	+	0.188183i
$781$	67.9672	−	39.2409i	2.43206	−	1.40415i
$782$	−4.23971	+	7.34340i	−0.151612	+	0.262599i
$783$		−	0.477798i		−	0.0170751i
$784$	−5.65402	+	4.12699i	−0.201929	+	0.147393i
$785$	−2.97227			−0.106085
$786$	−5.19720	+	9.00182i	−0.185378	+	0.321084i
$787$	25.5877	+	44.3192i	0.912103	+	1.57981i	0.811088	+	0.584924i	$0.198876\pi$
$787$	25.5877	+	44.3192i	0.912103	+	1.57981i	0.101015	+	0.994885i	$0.467791\pi$
$788$	8.82184	+	15.2799i	0.314265	+	0.544323i
$789$	4.90114	−	8.48903i	0.174485	−	0.302217i
$790$		−	6.98057i		−	0.248357i
$791$	10.0260	−	47.4263i	0.356485	−	1.68629i
$792$		−	6.10550i		−	0.216949i
$793$	−56.5615	−	32.6558i	−2.00856	−	1.15964i
$794$	9.78150	+	16.9421i	0.347133	+	0.601251i
$795$	0.217550	+	0.376807i	0.00771570	+	0.0133640i
$796$	4.10182	+	2.36819i	0.145385	+	0.0839382i
$797$	23.4643			0.831147			0.415573	−	0.909560i	$-0.363581\pi$
$797$	23.4643			0.831147			0.415573	+	0.909560i	$0.363581\pi$
$798$	11.1419	+	2.97632i	0.394418	+	0.105361i
$799$	30.9080			1.09345
$800$	2.18094	+	1.25917i	0.0771080	+	0.0445183i
$801$	−0.557030	−	0.964804i	−0.0196817	−	0.0340897i
$802$	−12.2213	−	21.1680i	−0.431550	−	0.747467i
$803$	86.4969	+	49.9390i	3.05241	+	1.76231i
$804$		−	5.84719i		−	0.206215i
$805$	11.3027	−	3.68628i	0.398369	−	0.129924i
$806$		−	67.9063i		−	2.39190i
$807$	14.1691	−	24.5415i	0.498775	−	0.863903i
$808$	6.83249	+	11.8342i	0.240366	+	0.416326i
$809$	22.3322	+	38.6805i	0.785159	+	1.35993i	0.928904	+	0.370320i	$0.120752\pi$
$809$	22.3322	+	38.6805i	0.785159	+	1.35993i	−0.143745	+	0.989615i	$0.545915\pi$
$810$	−0.787665	+	1.36428i	−0.0276757	+	0.0479358i
$811$	33.8120			1.18730			0.593649	−	0.804724i	$-0.297687\pi$
$811$	33.8120			1.18730			0.593649	+	0.804724i	$0.297687\pi$
$812$	1.20183	−	0.391966i	0.0421760	−	0.0137553i
$813$		−	8.08234i		−	0.283460i
$814$	−8.39757	+	14.5450i	−0.294335	+	0.509803i
$815$	8.24592	−	4.76079i	0.288842	−	0.166763i
$816$	2.57445	−	1.48636i	0.0901238	−	0.0520330i
$817$	−1.33558	+	25.3200i	−0.0467259	+	0.885836i
$818$		−	5.53271i		−	0.193447i
$819$	−11.7981	+	13.1323i	−0.412259	+	0.458878i
$820$			9.34193i			0.326234i
$821$	5.90861	−	10.2340i	0.206212	−	0.357170i	−0.744306	−	0.667838i	$-0.767220\pi$
$821$	5.90861	−	10.2340i	0.206212	−	0.357170i	0.950518	+	0.310669i	$0.100553\pi$
$822$	−1.02171	+	0.589886i	−0.0356363	+	0.0205746i
$823$	−0.398450	−	0.690136i	−0.0138891	−	0.0240566i	0.858997	−	0.511980i	$-0.171088\pi$
$823$	−0.398450	−	0.690136i	−0.0138891	−	0.0240566i	−0.872886	+	0.487923i	$0.837755\pi$
$824$	−7.51365	−	4.33801i	−0.261750	−	0.151122i
$825$	15.3757			0.535313
$826$	0.309080	−	1.46204i	0.0107543	−	0.0508710i
$827$		−	14.7734i		−	0.513722i	−0.966448	−	0.256861i	$-0.917312\pi$
$827$		−	14.7734i		−	0.513722i	0.966448	−	0.256861i	$-0.0826882\pi$
$828$	−1.42621	+	2.47026i	−0.0495641	+	0.0858476i
$829$	−13.1617	−	22.7967i	−0.457123	−	0.791761i	0.541684	−	0.840582i	$-0.317787\pi$
$829$	−13.1617	−	22.7967i	−0.457123	−	0.791761i	−0.998808	+	0.0488214i	$0.984453\pi$
$830$	−7.13798	+	4.12112i	−0.247763	+	0.143046i
$831$	0.419722	−	0.726981i	0.0145600	−	0.0252187i
$832$	6.67245			0.231326
$833$	−20.6902	+	2.22084i	−0.716873	+	0.0769474i
$834$	−14.5167			−0.502673
$835$	5.86433	+	3.38577i	0.202944	+	0.117170i
$836$	−22.3148	−	14.5022i	−0.771774	−	0.501568i
$837$	−5.08855	−	8.81363i	−0.175886	−	0.304644i
$838$	17.6125	−	30.5058i	0.608415	−	1.05381i
$839$	10.7174			0.370006			0.185003	−	0.982738i	$-0.440770\pi$
$839$	10.7174			0.370006			0.185003	+	0.982738i	$0.440770\pi$
$840$	−4.07781	−	0.862059i	−0.140698	−	0.0297439i
$841$	28.7717			0.992128
$842$	−18.3575	+	31.7961i	−0.632641	+	1.09577i
$843$	−10.8298	+	6.25259i	−0.372998	+	0.215351i
$844$	−5.00344	+	2.88874i	−0.172226	+	0.0994345i
$845$	−43.0042	−	24.8285i	−1.47939	−	0.854126i
$846$	10.3972			0.357463
$847$	46.4626	−	51.7167i	1.59647	−	1.77701i
$848$		−	0.276196i		−	0.00948461i
$849$	−12.4218	−	7.17175i	−0.426316	−	0.246134i
$850$	3.74315	+	6.48333i	0.128389	+	0.222376i
$851$	6.79525	−	3.92324i	0.232938	−	0.134487i
$852$	11.1321	+	6.42714i	0.381381	+	0.220190i
$853$		−	22.3566i		−	0.765476i	−0.923857	−	0.382738i	$-0.874981\pi$
$853$		−	22.3566i		−	0.765476i	0.923857	−	0.382738i	$-0.125019\pi$
$854$	−8.02988	−	24.6209i	−0.274777	−	0.842510i
$855$	3.11534	+	6.11933i	0.106543	+	0.209277i
$856$	−1.33366	+	2.30996i	−0.0455835	+	0.0789530i
$857$	−10.4822	−	18.1557i	−0.358066	−	0.620189i	0.629572	−	0.776942i	$-0.283230\pi$
$857$	−10.4822	−	18.1557i	−0.358066	−	0.620189i	−0.987638	+	0.156754i	$0.949897\pi$
$858$	35.2807	−	20.3693i	1.20446	−	0.695397i
$859$	20.2031	+	11.6643i	0.689321	+	0.397980i	0.803358	−	0.595497i	$-0.203045\pi$
$859$	20.2031	+	11.6643i	0.689321	+	0.397980i	−0.114036	+	0.993477i	$0.536378\pi$
$860$		−	9.16352i		−	0.312473i
$861$	4.86485	+	14.9164i	0.165794	+	0.508350i
$862$	−5.46906			−0.186277
$863$	−7.34669	−	4.24161i	−0.250084	−	0.144386i	0.369719	−	0.929144i	$-0.379454\pi$
$863$	−7.34669	−	4.24161i	−0.250084	−	0.144386i	−0.619803	+	0.784758i	$0.712787\pi$
$864$	0.866025	−	0.500000i	0.0294628	−	0.0170103i
$865$	23.0761	−	13.3230i	0.784611	−	0.452995i
$866$	26.3631	+	15.2207i	0.895854	+	0.517221i
$867$	−8.16293			−0.277228
$868$	17.9950	−	20.0299i	0.610789	−	0.679858i
$869$			27.0545i			0.917762i
$870$	0.651848	+	0.376345i	0.0220997	+	0.0127593i
$871$	33.7881	−	19.5076i	1.14487	−	0.660988i
$872$	−3.88050	−	6.72122i	−0.131410	−	0.227609i
$873$	4.02026	−	6.96329i	0.136065	−	0.235672i
$874$	5.64088	+	11.0801i	0.190806	+	0.374791i
$875$	6.48125	−	30.6583i	0.219106	−	1.03644i
$876$			16.3587i			0.552710i
$877$	−36.8593	−	21.2807i	−1.24465	−	0.718599i	−0.274613	−	0.961555i	$-0.588550\pi$
$877$	−36.8593	−	21.2807i	−1.24465	−	0.718599i	−0.970037	+	0.242955i	$0.921883\pi$
$878$	−8.23785	+	4.75612i	−0.278014	+	0.160511i
$879$	−6.04574	−	10.4715i	−0.203918	−	0.353196i
$880$	8.32958	+	4.80909i	0.280790	+	0.162114i
$881$			9.65333i			0.325229i	0.986690	+	0.162615i	$0.0519927\pi$
$881$			9.65333i			0.325229i	−0.986690	+	0.162615i	$0.948007\pi$
$882$	−6.96002	+	0.747072i	−0.234356	+	0.0251552i
$883$	−11.3685			−0.382579			−0.191290	−	0.981534i	$-0.561267\pi$
$883$	−11.3685			−0.382579			−0.191290	+	0.981534i	$0.561267\pi$
$884$	17.1779	+	9.91767i	0.577755	+	0.333567i
$885$	0.770561	−	0.444884i	0.0259021	−	0.0149546i
$886$	5.91841	−	3.41700i	0.198833	−	0.114796i
$887$	−9.72485	+	16.8439i	−0.326528	+	0.565564i	−0.981820	−	0.189812i	$-0.939212\pi$
$887$	−9.72485	+	16.8439i	−0.326528	+	0.565564i	0.655292	+	0.755376i	$0.272546\pi$
$888$	−2.75082			−0.0923116
$889$	0.716009	−	3.38694i	0.0240142	−	0.113594i
$890$	1.75501			0.0588281
$891$	3.05275	−	5.28751i	0.102271	−	0.177138i
$892$	8.46832	+	14.6676i	0.283540	+	0.491106i
$893$	24.6961	−	38.0005i	0.826424	−	1.27164i
$894$	0.0338793	+	0.0195602i	0.00113309	+	0.000654192i
$895$	−12.6346			−0.422327
$896$	1.96813	+	1.76818i	0.0657506	+	0.0590708i
$897$	−19.0326			−0.635480
$898$	7.46462	−	12.9291i	0.249098	−	0.431450i
$899$	−4.21114	+	2.43130i	−0.140449	+	0.0810884i
$900$	1.25917	+	2.18094i	0.0419723	+	0.0726981i
$901$	0.410527	−	0.711053i	0.0136766	−	0.0236886i
$902$		−	36.2065i		−	1.20554i
$903$	−4.77194	−	14.6315i	−0.158800	−	0.486907i
$904$	−18.3216			−0.609368
$905$	−9.43322	−	5.44627i	−0.313571	−	0.181040i
$906$	6.33468	+	10.9720i	0.210456	+	0.364520i
$907$	24.2128	−	13.9792i	0.803972	−	0.464173i	−0.0408863	−	0.999164i	$-0.513018\pi$
$907$	24.2128	−	13.9792i	0.803972	−	0.464173i	0.844858	+	0.534990i	$0.179685\pi$
$908$	−2.19387	+	3.79989i	−0.0728060	+	0.126104i
$909$			13.6650i			0.453239i
$910$	−8.62306	−	26.4397i	−0.285852	−	0.876467i
$911$		−	16.4505i		−	0.545028i	−0.962152	−	0.272514i	$-0.912145\pi$
$911$		−	16.4505i		−	0.545028i	0.962152	−	0.272514i	$-0.0878551\pi$
$912$	0.229603	−	4.35285i	0.00760292	−	0.144137i
$913$	27.6646	−	15.9722i	0.915566	−	0.528602i
$914$	−31.7385	+	18.3242i	−1.04982	+	0.606112i
$915$	7.70985	−	13.3539i	0.254880	−	0.441465i
$916$		−	25.7071i		−	0.849386i
$917$	−20.4575	−	18.3792i	−0.675568	−	0.606934i
$918$	2.97272			0.0981144
$919$	−6.06733	+	10.5089i	−0.200143	+	0.346657i	−0.948574	−	0.316555i	$-0.897474\pi$
$919$	−6.06733	+	10.5089i	−0.200143	+	0.346657i	0.748432	+	0.663212i	$0.230807\pi$
$920$	−2.24675	−	3.89148i	−0.0740730	−	0.128298i
$921$	−4.21369	−	7.29832i	−0.138846	−	0.240488i
$922$	−12.0804	+	20.9239i	−0.397848	+	0.689092i
$923$			85.7696i			2.82314i
$924$	15.8043	+	3.34108i	0.519924	+	0.109913i
$925$		−	6.92750i		−	0.227775i
$926$	14.3819	+	8.30338i	0.472618	+	0.272866i
$927$	−4.33801	−	7.51365i	−0.142479	−	0.246781i
$928$	−0.238899	−	0.413785i	−0.00784224	−	0.0135832i
$929$	−28.0162	−	16.1752i	−0.919183	−	0.530691i	−0.0358088	−	0.999359i	$-0.511401\pi$
$929$	−28.0162	−	16.1752i	−0.919183	−	0.530691i	−0.883374	+	0.468668i	$0.844734\pi$
$930$	16.0323			0.525720
$931$	−13.8014	+	27.2125i	−0.452324	+	0.891854i
$932$	−23.2071			−0.760174
$933$	9.22959	+	5.32871i	0.302163	+	0.174454i
$934$	4.21275	+	7.29670i	0.137845	+	0.238755i
$935$	14.2961	+	24.7615i	0.467531	+	0.809788i
$936$	5.77851	+	3.33623i	0.188877	+	0.109048i
$937$			1.86066i			0.0607850i	0.999538	+	0.0303925i	$0.00967573\pi$
$937$			1.86066i			0.0607850i	−0.999538	+	0.0303925i	$0.990324\pi$
$938$	15.1357	+	3.19973i	0.494198	+	0.104475i
$939$			23.9361i			0.781125i
$940$	−8.18951	+	14.1847i	−0.267112	+	0.462652i
$941$	23.5401	+	40.7727i	0.767386	+	1.32915i	0.938976	+	0.343984i	$0.111776\pi$
$941$	23.5401	+	40.7727i	0.767386	+	1.32915i	−0.171589	+	0.985169i	$0.554890\pi$
$942$	0.943380	+	1.63398i	0.0307370	+	0.0532380i
$943$	−8.45761	+	14.6490i	−0.275418	+	0.477037i
$944$	−0.564813			−0.0183831
$945$	−3.10045	−	2.78547i	−0.100858	−	0.0906113i
$946$			35.5150i			1.15469i
$947$	8.68310	−	15.0396i	0.282163	−	0.488721i	−0.689754	−	0.724044i	$-0.742281\pi$
$947$	8.68310	−	15.0396i	0.282163	−	0.488721i	0.971917	+	0.235323i	$0.0756148\pi$
$948$	−3.83751	+	2.21559i	−0.124637	+	0.0719590i
$949$	−94.5290	+	54.5764i	−3.06854	+	1.77162i
$950$	10.9619	+	0.578218i	0.355652	+	0.0187599i
$951$			1.52116i			0.0493270i
$952$	2.43870	+	7.47745i	0.0790388	+	0.242345i
$953$			14.2259i			0.460822i	0.973093	+	0.230411i	$0.0740071\pi$
$953$			14.2259i			0.460822i	−0.973093	+	0.230411i	$0.925993\pi$
$954$	0.138098	−	0.239193i	0.00447109	−	0.00774415i
$955$	−4.36497	+	2.52012i	−0.141247	+	0.0815491i
$956$	−11.7703	−	20.3867i	−0.380678	−	0.659353i
$957$	−2.52636	−	1.45860i	−0.0816657	−	0.0471497i
$958$	30.7889			0.994744
$959$	−0.967837	−	2.96754i	−0.0312531	−	0.0958270i
$960$			1.57533i			0.0508436i
$961$	−36.2867	+	62.8504i	−1.17054	+	2.02743i
$962$	−9.17737	−	15.8957i	−0.295890	−	0.512497i
$963$	−2.30996	+	1.33366i	−0.0744376	+	0.0429766i
$964$	−2.10234	+	3.64135i	−0.0677117	+	0.117280i
$965$	18.6193			0.599376
$966$	−5.61392	−	5.04358i	−0.180625	−	0.162275i
$967$	−18.9135			−0.608216			−0.304108	−	0.952638i	$-0.598358\pi$
$967$	−18.9135			−0.608216			−0.304108	+	0.952638i	$0.598358\pi$
$968$	−22.7566	−	13.1385i	−0.731425	−	0.422289i
$969$	7.06100	−	10.8649i	0.226832	−	0.349032i
$970$	6.33323	+	10.9695i	0.203348	+	0.352209i
$971$	0.332515	−	0.575933i	0.0106709	−	0.0184826i	−0.860641	−	0.509213i	$-0.829937\pi$
$971$	0.332515	−	0.575933i	0.0106709	−	0.0184826i	0.871312	+	0.490730i	$0.163270\pi$
$972$	1.00000			0.0320750
$973$	7.94390	−	37.5771i	0.254670	−	1.20467i
$974$	−22.7014			−0.727398
$975$	−8.40174	+	14.5522i	−0.269071	+	0.466045i
$976$	−8.47686	+	4.89412i	−0.271338	+	0.156657i
$977$	−7.04616	+	4.06810i	−0.225427	+	0.130150i	−0.608461	−	0.793584i	$-0.708213\pi$
$977$	−7.04616	+	4.06810i	−0.225427	+	0.130150i	0.383034	+	0.923734i	$0.374879\pi$
$978$	−5.23441	−	3.02209i	−0.167378	−	0.0966357i
$979$	−6.80189			−0.217389
$980$	4.46295	−	10.0838i	0.142564	−	0.322116i
$981$		−	7.76100i		−	0.247790i
$982$	−19.8963	−	11.4871i	−0.634916	−	0.366569i
$983$	29.3363	+	50.8120i	0.935683	+	1.62065i	0.773412	+	0.633903i	$0.218548\pi$
$983$	29.3363	+	50.8120i	0.935683	+	1.62065i	0.162270	+	0.986746i	$0.448118\pi$
$984$	5.13565	−	2.96507i	0.163719	−	0.0945230i
$985$	−24.0708	−	13.8973i	−0.766961	−	0.442805i
$986$		−	1.42036i		−	0.0452335i
$987$	−5.68961	+	26.9136i	−0.181102	+	0.856669i
$988$	25.9190	−	13.1953i	0.824593	−	0.419799i
$989$	8.29609	−	14.3692i	0.263800	−	0.456915i
$990$	4.80909	+	8.32958i	0.152843	+	0.264731i
$991$	0.762419	−	0.440183i	0.0242190	−	0.0139829i	−0.487842	−	0.872932i	$-0.662216\pi$
$991$	0.762419	−	0.440183i	0.0242190	−	0.0139829i	0.512061	+	0.858949i	$0.328882\pi$
$992$	−8.81363	−	5.08855i	−0.279833	−	0.161562i
$993$			12.6685i			0.402024i
$994$	−22.7287	+	25.2989i	−0.720911	+	0.802433i
$995$	−7.46136			−0.236541
$996$	4.53110	+	2.61603i	0.143574	+	0.0828922i
$997$	−29.3864	+	16.9663i	−0.930678	+	0.537327i	−0.887026	−	0.461720i	$-0.847233\pi$
$997$	−29.3864	+	16.9663i	−0.930678	+	0.537327i	−0.0436519	+	0.999047i	$0.513899\pi$
$998$	−18.9012	+	10.9126i	−0.598307	+	0.345433i
$999$	−2.38228	−	1.37541i	−0.0753721	−	0.0435161i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.be.b.607.10	yes	28
7.3	odd	6		798.2.be.a.493.3	✓	28
19.18	odd	2		798.2.be.a.607.3	yes	28
133.94	even	6	inner	798.2.be.b.493.10	yes	28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.be.a.493.3	✓	28	7.3	odd	6
798.2.be.a.607.3	yes	28	19.18	odd	2
798.2.be.b.493.10	yes	28	133.94	even	6	inner
798.2.be.b.607.10	yes	28	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.be (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.36428 - 0.787665i) q^{5} +1.00000i q^{6} +(-2.58854 - 0.547225i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.500000 + 0.866025i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.36428 - 0.787665i) q^{5} +1.00000i q^{6} +(-2.58854 - 0.547225i) q^{7} +1.00000i q^{8} +(-0.500000 + 0.866025i) q^{9} +(-0.787665 - 1.36428i) q^{10} +(3.05275 + 5.28751i) q^{11} +(-0.500000 + 0.866025i) q^{12} -6.67245 q^{13} +(-1.96813 - 1.76818i) q^{14} -1.57533i q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.57445 + 1.48636i) q^{17} +(-0.866025 + 0.500000i) q^{18} +(-0.229603 + 4.35285i) q^{19} -1.57533i q^{20} +(-0.820360 - 2.51535i) q^{21} +6.10550i q^{22} +(1.42621 - 2.47026i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(-1.25917 - 2.18094i) q^{25} +(-5.77851 - 3.33623i) q^{26} -1.00000 q^{27} +(-0.820360 - 2.51535i) q^{28} +0.477798i q^{29} +(0.787665 - 1.36428i) q^{30} +(5.08855 + 8.81363i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-3.05275 + 5.28751i) q^{33} -2.97272 q^{34} +(3.10045 + 2.78547i) q^{35} -1.00000 q^{36} +(2.38228 + 1.37541i) q^{37} +(-2.37527 + 3.65488i) q^{38} +(-3.33623 - 5.77851i) q^{39} +(0.787665 - 1.36428i) q^{40} -5.93014 q^{41} +(0.547225 - 2.58854i) q^{42} +5.81689 q^{43} +(-3.05275 + 5.28751i) q^{44} +(1.36428 - 0.787665i) q^{45} +(2.47026 - 1.42621i) q^{46} +(-9.00424 - 5.19860i) q^{47} -1.00000 q^{48} +(6.40109 + 2.83303i) q^{49} -2.51834i q^{50} +(-2.57445 - 1.48636i) q^{51} +(-3.33623 - 5.77851i) q^{52} +(-0.239193 + 0.138098i) q^{53} +(-0.866025 - 0.500000i) q^{54} -9.61817i q^{55} +(0.547225 - 2.58854i) q^{56} +(-3.88448 + 1.97758i) q^{57} +(-0.238899 + 0.413785i) q^{58} +(0.282407 + 0.489143i) q^{59} +(1.36428 - 0.787665i) q^{60} +(8.47686 + 4.89412i) q^{61} +10.1771i q^{62} +(1.76818 - 1.96813i) q^{63} -1.00000 q^{64} +(9.10307 + 5.25566i) q^{65} +(-5.28751 + 3.05275i) q^{66} +(-5.06382 + 2.92360i) q^{67} +(-2.57445 - 1.48636i) q^{68} +2.85241 q^{69} +(1.29234 + 3.96251i) q^{70} -12.8543i q^{71} +(-0.866025 - 0.500000i) q^{72} +(14.1671 - 8.17935i) q^{73} +(1.37541 + 2.38228i) q^{74} +(1.25917 - 2.18094i) q^{75} +(-3.88448 + 1.97758i) q^{76} +(-5.00871 - 15.3575i) q^{77} -6.67245i q^{78} +(3.83751 + 2.21559i) q^{79} +(1.36428 - 0.787665i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-5.13565 - 2.96507i) q^{82} -5.23207i q^{83} +(1.76818 - 1.96813i) q^{84} +4.68301 q^{85} +(5.03757 + 2.90845i) q^{86} +(-0.413785 + 0.238899i) q^{87} +(-5.28751 + 3.05275i) q^{88} +(-0.557030 + 0.964804i) q^{89} +1.57533 q^{90} +(17.2719 + 3.65133i) q^{91} +2.85241 q^{92} +(-5.08855 + 8.81363i) q^{93} +(-5.19860 - 9.00424i) q^{94} +(3.74183 - 5.75763i) q^{95} +(-0.866025 - 0.500000i) q^{96} -8.04052 q^{97} +(4.12699 + 5.65402i) q^{98} -6.10550 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q + 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9}+O(q^{10}) \) 28 * q + 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9	\( 28 q + 14 q^{3} + 14 q^{4} - 6 q^{5} - 2 q^{7} - 14 q^{9} + 4 q^{10} + 6 q^{11} - 14 q^{12} - 8 q^{13} - 4 q^{14} - 14 q^{16} - 12 q^{17} - 6 q^{19} - 4 q^{21} + 6 q^{23} + 20 q^{25} + 12 q^{26} - 28 q^{27} - 4 q^{28} - 4 q^{30} - 4 q^{31} - 6 q^{33} - 8 q^{34} - 10 q^{35} - 28 q^{36} - 12 q^{37} - 12 q^{38} - 4 q^{39} - 4 q^{40} - 40 q^{41} - 8 q^{42} + 52 q^{43} - 6 q^{44} + 6 q^{45} - 36 q^{46} - 6 q^{47} - 28 q^{48} + 18 q^{49} - 12 q^{51} - 4 q^{52} - 36 q^{53} - 8 q^{56} - 12 q^{57} + 4 q^{58} - 32 q^{59} + 6 q^{60} + 6 q^{61} - 2 q^{63} - 28 q^{64} + 60 q^{65} + 12 q^{67} - 12 q^{68} + 12 q^{69} + 12 q^{70} + 30 q^{73} + 12 q^{74} - 20 q^{75} - 12 q^{76} + 28 q^{77} + 36 q^{79} + 6 q^{80} - 14 q^{81} - 2 q^{84} + 64 q^{85} + 24 q^{86} - 16 q^{89} - 8 q^{90} + 20 q^{91} + 12 q^{92} + 4 q^{93} - 22 q^{95} + 16 q^{97} + 8 q^{98} - 12 q^{99}+O(q^{100}) \) 28 * q + 14 * q^3 + 14 * q^4 - 6 * q^5 - 2 * q^7 - 14 * q^9 + 4 * q^10 + 6 * q^11 - 14 * q^12 - 8 * q^13 - 4 * q^14 - 14 * q^16 - 12 * q^17 - 6 * q^19 - 4 * q^21 + 6 * q^23 + 20 * q^25 + 12 * q^26 - 28 * q^27 - 4 * q^28 - 4 * q^30 - 4 * q^31 - 6 * q^33 - 8 * q^34 - 10 * q^35 - 28 * q^36 - 12 * q^37 - 12 * q^38 - 4 * q^39 - 4 * q^40 - 40 * q^41 - 8 * q^42 + 52 * q^43 - 6 * q^44 + 6 * q^45 - 36 * q^46 - 6 * q^47 - 28 * q^48 + 18 * q^49 - 12 * q^51 - 4 * q^52 - 36 * q^53 - 8 * q^56 - 12 * q^57 + 4 * q^58 - 32 * q^59 + 6 * q^60 + 6 * q^61 - 2 * q^63 - 28 * q^64 + 60 * q^65 + 12 * q^67 - 12 * q^68 + 12 * q^69 + 12 * q^70 + 30 * q^73 + 12 * q^74 - 20 * q^75 - 12 * q^76 + 28 * q^77 + 36 * q^79 + 6 * q^80 - 14 * q^81 - 2 * q^84 + 64 * q^85 + 24 * q^86 - 16 * q^89 - 8 * q^90 + 20 * q^91 + 12 * q^92 + 4 * q^93 - 22 * q^95 + 16 * q^97 + 8 * q^98 - 12 * q^99

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