LMFDB - Embedded newform 95.2.i.b.64.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(49,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 4]))

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

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

chi := DirichletCharacter("95.49");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.i (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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 6x^{10} + 29x^{8} - 40x^{6} + 43x^{4} - 7x^{2} + 1 $ x^12 - 6x^10 + 29x^8 - 40x^6 + 43x^4 - 7*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			64.6
Root			$0.352587 - 0.203566i$ of defining polynomial
Character	$\chi$	$=$	95.64
Dual form			95.2.i.b.49.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.12713 - 1.22810i) q^{2} +(-1.35190 + 0.780522i) q^{3} +(2.01647 - 3.49262i) q^{4} +(-0.746759 - 2.10769i) q^{5} +(-1.91712 + 3.32055i) q^{6} +4.50527i q^{7} -4.99330i q^{8} +(-0.281570 + 0.487693i) q^{9} +O(q^{10})$	\(q+(2.12713 - 1.22810i) q^{2} +(-1.35190 + 0.780522i) q^{3} +(2.01647 - 3.49262i) q^{4} +(-0.746759 - 2.10769i) q^{5} +(-1.91712 + 3.32055i) q^{6} +4.50527i q^{7} -4.99330i q^{8} +(-0.281570 + 0.487693i) q^{9} +(-4.17691 - 3.56624i) q^{10} +2.19869 q^{11} +6.29559i q^{12} +(-3.25495 - 1.87925i) q^{13} +(5.53293 + 9.58332i) q^{14} +(2.65464 + 2.26653i) q^{15} +(-2.09935 - 3.63617i) q^{16} +(0.576674 - 0.332943i) q^{17} +1.38318i q^{18} +(-3.79804 - 2.13891i) q^{19} +(-8.86718 - 1.64194i) q^{20} +(-3.51647 - 6.09070i) q^{21} +(4.67691 - 2.70022i) q^{22} +(-0.422643 - 0.244013i) q^{23} +(3.89738 + 6.75046i) q^{24} +(-3.88470 + 3.14787i) q^{25} -9.23163 q^{26} -5.56222i q^{27} +(15.7352 + 9.08474i) q^{28} +(1.79804 - 3.11429i) q^{29} +(8.43032 + 1.56104i) q^{30} +6.83424 q^{31} +(-0.282531 - 0.163119i) q^{32} +(-2.97242 + 1.71613i) q^{33} +(0.817776 - 1.41643i) q^{34} +(9.49572 - 3.36435i) q^{35} +(1.13555 + 1.96683i) q^{36} -3.01171i q^{37} +(-10.7057 + 0.114636i) q^{38} +5.86718 q^{39} +(-10.5243 + 3.72879i) q^{40} +(-0.0362063 - 0.0627112i) q^{41} +(-14.9600 - 8.63716i) q^{42} +(-0.364199 + 0.210271i) q^{43} +(4.43359 - 7.67920i) q^{44} +(1.23817 + 0.229272i) q^{45} -1.19869 q^{46} +(-4.34986 - 2.51139i) q^{47} +(5.67623 + 3.27717i) q^{48} -13.2975 q^{49} +(-4.39738 + 11.4668i) q^{50} +(-0.519739 + 0.900215i) q^{51} +(-13.1270 + 7.57888i) q^{52} +(2.26725 + 1.30900i) q^{53} +(-6.83097 - 11.8316i) q^{54} +(-1.64189 - 4.63416i) q^{55} +22.4962 q^{56} +(6.80405 - 0.0728572i) q^{57} -8.83269i q^{58} +(6.26783 + 10.8562i) q^{59} +(13.2691 - 4.70129i) q^{60} +(-3.53293 + 6.11922i) q^{61} +(14.5374 - 8.39315i) q^{62} +(-2.19719 - 1.26855i) q^{63} +7.59607 q^{64} +(-1.53020 + 8.26377i) q^{65} +(-4.21516 + 7.30087i) q^{66} +(-4.95944 - 2.86334i) q^{67} -2.68548i q^{68} +0.761831 q^{69} +(16.0669 - 18.8181i) q^{70} +(-3.48626 - 6.03838i) q^{71} +(2.43520 + 1.40596i) q^{72} +(2.56139 - 1.47882i) q^{73} +(-3.69869 - 6.40632i) q^{74} +(2.79476 - 7.28772i) q^{75} +(-15.1290 + 8.95208i) q^{76} +9.90571i q^{77} +(12.4803 - 7.20549i) q^{78} +(5.66849 + 9.81811i) q^{79} +(-6.09622 + 7.14011i) q^{80} +(3.49673 + 6.05651i) q^{81} +(-0.154031 - 0.0889301i) q^{82} +15.6999i q^{83} -28.3634 q^{84} +(-1.13238 - 0.966822i) q^{85} +(-0.516467 + 0.894547i) q^{86} +5.61363i q^{87} -10.9787i q^{88} +(-0.668486 + 1.15785i) q^{89} +(2.91532 - 1.03290i) q^{90} +(8.46652 - 14.6644i) q^{91} +(-1.70449 + 0.984089i) q^{92} +(-9.23924 + 5.33428i) q^{93} -12.3370 q^{94} +(-1.67193 + 9.60233i) q^{95} +0.509273 q^{96} +(3.79871 - 2.19319i) q^{97} +(-28.2856 + 16.3307i) q^{98} +(-0.619085 + 1.07229i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9}+O(q^{10}) $ 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9	$ 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9} + 6 q^{10} + 4 q^{11} + 22 q^{14} - 4 q^{15} - 14 q^{16} - 12 q^{19} - 40 q^{20} - 20 q^{21} + 2 q^{24} - 6 q^{25} - 44 q^{26} - 12 q^{29} + 12 q^{30} + 60 q^{31} + 10 q^{34} + 14 q^{36} + 4 q^{39} + 10 q^{40} - 12 q^{41} + 20 q^{44} + 60 q^{45} + 8 q^{46} - 4 q^{49} - 8 q^{50} - 40 q^{51} - 4 q^{54} - 18 q^{55} + 92 q^{56} + 20 q^{59} + 4 q^{60} + 2 q^{61} + 24 q^{64} - 40 q^{65} - 6 q^{66} - 36 q^{69} + 46 q^{70} + 2 q^{71} - 22 q^{74} - 56 q^{75} - 70 q^{76} + 24 q^{79} - 22 q^{80} - 14 q^{81} - 96 q^{84} + 2 q^{85} + 16 q^{86} + 36 q^{89} - 8 q^{90} + 24 q^{91} - 60 q^{94} + 46 q^{95} + 52 q^{96} - 30 q^{99}+O(q^{100}) $ 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9 + 6 * q^10 + 4 * q^11 + 22 * q^14 - 4 * q^15 - 14 * q^16 - 12 * q^19 - 40 * q^20 - 20 * q^21 + 2 * q^24 - 6 * q^25 - 44 * q^26 - 12 * q^29 + 12 * q^30 + 60 * q^31 + 10 * q^34 + 14 * q^36 + 4 * q^39 + 10 * q^40 - 12 * q^41 + 20 * q^44 + 60 * q^45 + 8 * q^46 - 4 * q^49 - 8 * q^50 - 40 * q^51 - 4 * q^54 - 18 * q^55 + 92 * q^56 + 20 * q^59 + 4 * q^60 + 2 * q^61 + 24 * q^64 - 40 * q^65 - 6 * q^66 - 36 * q^69 + 46 * q^70 + 2 * q^71 - 22 * q^74 - 56 * q^75 - 70 * q^76 + 24 * q^79 - 22 * q^80 - 14 * q^81 - 96 * q^84 + 2 * q^85 + 16 * q^86 + 36 * q^89 - 8 * q^90 + 24 * q^91 - 60 * q^94 + 46 * q^95 + 52 * q^96 - 30 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	2.12713	−	1.22810i	1.50411	−	0.868399i	0.504123	−	0.863632i	$-0.331816\pi$
$2$	2.12713	−	1.22810i	1.50411	−	0.868399i	0.999989	−	0.00476685i	$-0.00151734\pi$
$3$	−1.35190	+	0.780522i	−0.780522	+	0.450635i	−0.836615	−	0.547791i	$-0.815469\pi$
$3$	−1.35190	+	0.780522i	−0.780522	+	0.450635i	0.0560930	+	0.998426i	$0.482136\pi$
$4$	2.01647	−	3.49262i	1.00823	−	1.74631i
$5$	−0.746759	−	2.10769i	−0.333961	−	0.942587i
$5$	−0.746759	−	2.10769i	−0.333961	−	0.942587i
$6$	−1.91712	+	3.32055i	−0.782662	+	1.35561i
$7$			4.50527i			1.70283i	0.524490	+	0.851417i	$0.324256\pi$
$7$			4.50527i			1.70283i	−0.524490	+	0.851417i	$0.675744\pi$
$8$		−	4.99330i		−	1.76540i
$9$	−0.281570	+	0.487693i	−0.0938566	+	0.162564i
$10$	−4.17691	−	3.56624i	−1.32086	−	1.12774i
$11$	2.19869			0.662930			0.331465	−	0.943467i	$-0.392457\pi$
$11$	2.19869			0.662930			0.331465	+	0.943467i	$0.392457\pi$
$12$			6.29559i			1.81738i
$13$	−3.25495	−	1.87925i	−0.902761	−	0.521209i	−0.0246661	−	0.999696i	$-0.507852\pi$
$13$	−3.25495	−	1.87925i	−0.902761	−	0.521209i	−0.878095	+	0.478486i	$0.841186\pi$
$14$	5.53293	+	9.58332i	1.47874	+	2.56125i
$15$	2.65464	+	2.26653i	0.685426	+	0.585216i
$16$	−2.09935	−	3.63617i	−0.524836	−	0.909043i
$17$	0.576674	−	0.332943i	0.139864	−	0.0807506i	−0.428435	−	0.903573i	$-0.640935\pi$
$17$	0.576674	−	0.332943i	0.139864	−	0.0807506i	0.568299	+	0.822822i	$0.307602\pi$
$18$			1.38318i			0.326020i
$19$	−3.79804	−	2.13891i	−0.871329	−	0.490699i
$19$	−3.79804	−	2.13891i	−0.871329	−	0.490699i
$20$	−8.86718	−	1.64194i	−1.98276	−	0.367149i
$21$	−3.51647	−	6.09070i	−0.767356	−	1.32910i
$22$	4.67691	−	2.70022i	0.997121	−	0.575688i
$23$	−0.422643	−	0.244013i	−0.0881272	−	0.0508802i	0.455289	−	0.890344i	$-0.349536\pi$
$23$	−0.422643	−	0.244013i	−0.0881272	−	0.0508802i	−0.543416	+	0.839464i	$0.682869\pi$
$24$	3.89738	+	6.75046i	0.795550	+	1.37793i
$25$	−3.88470	+	3.14787i	−0.776941	+	0.629574i
$26$	−9.23163			−1.81047
$27$		−	5.56222i		−	1.07045i
$28$	15.7352	+	9.08474i	2.97368	+	1.71685i
$29$	1.79804	−	3.11429i	0.333887	−	0.578309i	−0.649383	−	0.760461i	$-0.724973\pi$
$29$	1.79804	−	3.11429i	0.333887	−	0.578309i	0.983270	+	0.182152i	$0.0583062\pi$
$30$	8.43032	+	1.56104i	1.53916	+	0.285006i
$31$	6.83424			1.22747			0.613733	−	0.789514i	$-0.289667\pi$
$31$	6.83424			1.22747			0.613733	+	0.789514i	$0.289667\pi$
$32$	−0.282531	−	0.163119i	−0.0499449	−	0.0288357i
$33$	−2.97242	+	1.71613i	−0.517432	+	0.298739i
$34$	0.817776	−	1.41643i	0.140247	−	0.242916i
$35$	9.49572	−	3.36435i	1.60507	−	0.568679i
$36$	1.13555	+	1.96683i	0.189259	+	0.327806i
$37$		−	3.01171i		−	0.495123i	−0.968872	−	0.247561i	$-0.920371\pi$
$37$		−	3.01171i		−	0.495123i	0.968872	−	0.247561i	$-0.0796292\pi$
$38$	−10.7057	+	0.114636i	−1.73670	+	0.0185964i
$39$	5.86718			0.939500
$40$	−10.5243	+	3.72879i	−1.66404	+	0.589573i
$41$	−0.0362063	−	0.0627112i	−0.00565448	−	0.00979384i	0.863184	−	0.504889i	$-0.168467\pi$
$41$	−0.0362063	−	0.0627112i	−0.00565448	−	0.00979384i	−0.868839	+	0.495095i	$0.835133\pi$
$42$	−14.9600	−	8.63716i	−2.30838	−	1.33274i
$43$	−0.364199	+	0.210271i	−0.0555399	+	0.0320660i	−0.527513	−	0.849547i	$-0.676875\pi$
$43$	−0.364199	+	0.210271i	−0.0555399	+	0.0320660i	0.471973	+	0.881613i	$0.343542\pi$
$44$	4.43359	−	7.67920i	0.668389	−	1.15768i
$45$	1.23817	+	0.229272i	0.184575	+	0.0341779i
$46$	−1.19869			−0.176737
$47$	−4.34986	−	2.51139i	−0.634492	−	0.366324i	0.147998	−	0.988988i	$-0.452717\pi$
$47$	−4.34986	−	2.51139i	−0.634492	−	0.366324i	−0.782490	+	0.622664i	$0.786050\pi$
$48$	5.67623	+	3.27717i	0.819293	+	0.473019i
$49$	−13.2975			−1.89964
$50$	−4.39738	+	11.4668i	−0.621884	+	1.62164i
$51$	−0.519739	+	0.900215i	−0.0727780	+	0.126055i
$52$	−13.1270	+	7.57888i	−1.82039	+	1.05100i
$53$	2.26725	+	1.30900i	0.311430	+	0.179804i	0.647566	−	0.762009i	$-0.275787\pi$
$53$	2.26725	+	1.30900i	0.311430	+	0.179804i	−0.336136	+	0.941813i	$0.609120\pi$
$54$	−6.83097	−	11.8316i	−0.929577	−	1.61008i
$55$	−1.64189	−	4.63416i	−0.221393	−	0.624870i
$56$	22.4962			3.00618
$57$	6.80405	−	0.0728572i	0.901218	−	0.00965017i
$58$		−	8.83269i		−	1.15979i
$59$	6.26783	+	10.8562i	0.816002	+	1.41336i	0.908606	+	0.417654i	$0.137148\pi$
$59$	6.26783	+	10.8562i	0.816002	+	1.41336i	−0.0926038	+	0.995703i	$0.529519\pi$
$60$	13.2691	−	4.70129i	1.71304	−	0.606934i
$61$	−3.53293	+	6.11922i	−0.452346	+	0.783486i	−0.998531	−	0.0541782i	$-0.982746\pi$
$61$	−3.53293	+	6.11922i	−0.452346	+	0.783486i	0.546185	+	0.837664i	$0.316079\pi$
$62$	14.5374	−	8.39315i	1.84625	−	1.06593i
$63$	−2.19719	−	1.26855i	−0.276820	−	0.159822i
$64$	7.59607			0.949509
$65$	−1.53020	+	8.26377i	−0.189799	+	1.02499i
$66$	−4.21516	+	7.30087i	−0.518850	+	0.898675i
$67$	−4.95944	−	2.86334i	−0.605892	−	0.349812i	0.165464	−	0.986216i	$-0.447088\pi$
$67$	−4.95944	−	2.86334i	−0.605892	−	0.349812i	−0.771356	+	0.636404i	$0.780421\pi$
$68$		−	2.68548i		−	0.325662i
$69$	0.761831			0.0917136
$70$	16.0669	−	18.8181i	1.92036	−	2.24920i
$71$	−3.48626	−	6.03838i	−0.413743	−	0.716624i	0.581552	−	0.813509i	$-0.302446\pi$
$71$	−3.48626	−	6.03838i	−0.413743	−	0.716624i	−0.995296	+	0.0968847i	$0.969112\pi$
$72$	2.43520	+	1.40596i	0.286991	+	0.165694i
$73$	2.56139	−	1.47882i	0.299788	−	0.173083i	−0.342560	−	0.939496i	$-0.611294\pi$
$73$	2.56139	−	1.47882i	0.299788	−	0.173083i	0.642348	+	0.766413i	$0.277961\pi$
$74$	−3.69869	−	6.40632i	−0.429964	−	0.744720i
$75$	2.79476	−	7.28772i	0.322712	−	0.841513i
$76$	−15.1290	+	8.95208i	−1.73542	+	1.02687i
$77$			9.90571i			1.12886i
$78$	12.4803	−	7.20549i	1.41311	−	0.815861i
$79$	5.66849	+	9.81811i	0.637755	+	1.10462i	0.985924	+	0.167192i	$0.0534699\pi$
$79$	5.66849	+	9.81811i	0.637755	+	1.10462i	−0.348170	+	0.937431i	$0.613197\pi$
$80$	−6.09622	+	7.14011i	−0.681578	+	0.798289i
$81$	3.49673	+	6.05651i	0.388525	+	0.672946i
$82$	−0.154031	−	0.0889301i	−0.0170099	−	0.00982068i
$83$			15.6999i			1.72328i	0.507517	+	0.861642i	$0.330564\pi$
$83$			15.6999i			1.72328i	−0.507517	+	0.861642i	$0.669436\pi$
$84$	−28.3634			−3.09470
$85$	−1.13238	−	0.966822i	−0.122824	−	0.104867i
$86$	−0.516467	+	0.894547i	−0.0556921	+	0.0964615i
$87$			5.61363i			0.601845i
$88$		−	10.9787i		−	1.17034i
$89$	−0.668486	+	1.15785i	−0.0708594	+	0.122732i	−0.899278	−	0.437377i	$-0.855908\pi$
$89$	−0.668486	+	1.15785i	−0.0708594	+	0.122732i	0.828419	+	0.560109i	$0.189241\pi$
$90$	2.91532	−	1.03290i	0.307302	−	0.108878i
$91$	8.46652	−	14.6644i	0.887533	−	1.53725i
$92$	−1.70449	+	0.984089i	−0.177706	+	0.102598i
$93$	−9.23924	+	5.33428i	−0.958065	+	0.553139i
$94$	−12.3370			−1.27246
$95$	−1.67193	+	9.60233i	−0.171536	+	0.985178i
$96$	0.509273			0.0519775
$97$	3.79871	−	2.19319i	0.385701	−	0.222685i	−0.294595	−	0.955622i	$-0.595185\pi$
$97$	3.79871	−	2.19319i	0.385701	−	0.222685i	0.680296	+	0.732938i	$0.261851\pi$
$98$	−28.2856	+	16.3307i	−2.85727	+	1.64965i
$99$	−0.619085	+	1.07229i	−0.0622204	+	0.107769i
$100$	3.16095	+	19.9154i	0.316095	+	1.99154i
$101$	5.28430	−	9.15267i	0.525807	−	0.910725i	−0.473741	−	0.880664i	$-0.657097\pi$
$101$	5.28430	−	9.15267i	0.525807	−	0.910725i	0.999548	−	0.0300608i	$-0.00957008\pi$
$102$			2.55317i			0.252801i
$103$		−	5.75615i		−	0.567171i	−0.958947	−	0.283585i	$-0.908476\pi$
$103$		−	5.75615i		−	0.567171i	0.958947	−	0.283585i	$-0.0915239\pi$
$104$	−9.38364	+	16.2529i	−0.920142	+	1.59373i
$105$	−10.2113	+	11.9599i	−0.996525	+	1.16717i
$106$	6.43032			0.624568
$107$		−	1.30229i		−	0.125897i	−0.998017	−	0.0629486i	$-0.979950\pi$
$107$		−	1.30229i		−	0.125897i	0.998017	−	0.0629486i	$-0.0200504\pi$
$108$	−19.4267	−	11.2160i	−1.86934	−	1.07926i
$109$	−6.01647	−	10.4208i	−0.576273	−	0.998134i	−0.995902	−	0.0904385i	$-0.971173\pi$
$109$	−6.01647	−	10.4208i	−0.576273	−	0.998134i	0.419629	−	0.907696i	$-0.362160\pi$
$110$	−9.18374	−	7.84106i	−0.875635	−	0.747616i
$111$	2.35071	+	4.07155i	0.223120	+	0.386454i
$112$	16.3820	−	9.45813i	1.54795	−	0.893709i
$113$		−	7.74626i		−	0.728707i	−0.931261	−	0.364353i	$-0.881290\pi$
$113$		−	7.74626i		−	0.728707i	0.931261	−	0.364353i	$-0.118710\pi$
$114$	14.3836	−	8.51104i	1.34715	−	0.797132i
$115$	−0.198691	+	1.07302i	−0.0185281	+	0.100060i
$116$	−7.25136	−	12.5597i	−0.673272	−	1.16614i
$117$	1.83299	−	1.05828i	0.169460	−	0.0978378i
$118$	26.6650	+	15.3951i	2.45472	+	1.41723i
$119$	1.50000	+	2.59808i	0.137505	+	0.238165i
$120$	11.3175	−	13.2554i	1.03314	−	1.21005i
$121$	−6.16576			−0.560523
$122$			17.3552i			1.57127i
$123$	0.0978950	+	0.0565197i	0.00882689	+	0.00509621i
$124$	13.7810	−	23.8694i	1.23757	−	2.14354i
$125$	9.53566	+	5.83705i	0.852896	+	0.522081i
$126$	−6.23163			−0.555157
$127$	3.40898	+	1.96818i	0.302498	+	0.174647i	0.643565	−	0.765392i	$-0.277455\pi$
$127$	3.40898	+	1.96818i	0.302498	+	0.174647i	−0.341066	+	0.940039i	$0.610788\pi$
$128$	16.7229	−	9.65499i	1.47811	−	0.853389i
$129$	0.328242	−	0.568531i	0.0289001	−	0.0500564i
$130$	6.89380	+	19.4574i	0.604626	+	1.70653i
$131$	8.16248	+	14.1378i	0.713160	+	1.23523i	0.963665	+	0.267114i	$0.0860699\pi$
$131$	8.16248	+	14.1378i	0.713160	+	1.23523i	−0.250505	+	0.968115i	$0.580597\pi$
$132$			13.8421i			1.20480i
$133$	9.63635	−	17.1112i	0.835578	−	1.48373i
$134$	−14.0659			−1.21511
$135$	−11.7234	+	4.15364i	−1.00899	+	0.357488i
$136$	−1.66248	−	2.87951i	−0.142557	−	0.246916i
$137$	14.2293	+	8.21529i	1.21569	+	0.701879i	0.963993	−	0.265927i	$-0.0856780\pi$
$137$	14.2293	+	8.21529i	1.21569	+	0.701879i	0.251697	+	0.967806i	$0.419011\pi$
$138$	1.62052	−	0.935605i	0.137947	−	0.0796440i
$139$	−1.33424	+	2.31098i	−0.113169	+	0.196015i	−0.917046	−	0.398781i	$-0.869433\pi$
$139$	−1.33424	+	2.31098i	−0.113169	+	0.196015i	0.803877	+	0.594795i	$0.202767\pi$
$140$	7.39738	−	39.9491i	0.625193	−	3.37631i
$141$	7.84079			0.660313
$142$	−14.8315	−	8.56297i	−1.24463	−	0.718588i
$143$	−7.15663	−	4.13188i	−0.598468	−	0.345526i
$144$	2.36445			0.197037
$145$	−7.90666	−	1.46408i	−0.656612	−	0.121585i
$146$	3.63228	−	6.29129i	0.300610	−	0.520671i
$147$	17.9769	−	10.3790i	1.48271	−	0.856045i
$148$	−10.5188	−	6.07302i	−0.864639	−	0.499199i
$149$	−8.98299	−	15.5590i	−0.735915	−	1.27464i	−0.954321	−	0.298784i	$-0.903419\pi$
$149$	−8.98299	−	15.5590i	−0.735915	−	1.27464i	0.218405	−	0.975858i	$-0.429915\pi$
$150$	−3.00522	−	18.9342i	−0.245375	−	1.54597i
$151$	−12.7344			−1.03631			−0.518154	−	0.855288i	$-0.673380\pi$
$151$	−12.7344			−1.03631			−0.518154	+	0.855288i	$0.673380\pi$
$152$	−10.6802	+	18.9647i	−0.866278	+	1.53824i
$153$			0.374987i			0.0303159i
$154$	12.1652	+	21.0708i	0.980301	+	1.69793i
$155$	−5.10353	−	14.4045i	−0.409925	−	1.15699i
$156$	11.8310	−	20.4918i	0.947236	−	1.64066i
$157$	−17.3674	+	10.0270i	−1.38607	+	0.800245i	−0.992869	−	0.119209i	$-0.961964\pi$
$157$	−17.3674	+	10.0270i	−1.38607	+	0.800245i	−0.393197	+	0.919454i	$0.628631\pi$
$158$	24.1153	+	13.9230i	1.91851	+	1.10765i
$159$	−4.08680			−0.324104
$160$	−0.132822	+	0.717298i	−0.0105005	+	0.0567074i
$161$	1.09935	−	1.90412i	0.0866406	−	0.150066i
$162$	14.8760	+	8.58867i	1.16877	+	0.674790i
$163$			14.2331i			1.11482i	0.830236	+	0.557412i	$0.188206\pi$
$163$			14.2331i			1.11482i	−0.830236	+	0.557412i	$0.811794\pi$
$164$	−0.292035			−0.0228041
$165$	5.83674	+	4.98340i	0.454390	+	0.387957i
$166$	19.2810	+	33.3957i	1.49650	+	2.59201i
$167$	−4.86386	−	2.80815i	−0.376376	−	0.217301i	0.299864	−	0.953982i	$-0.403059\pi$
$167$	−4.86386	−	2.80815i	−0.376376	−	0.217301i	−0.676241	+	0.736681i	$0.736392\pi$
$168$	−30.4127	+	17.5588i	−2.34639	+	1.35469i
$169$	0.563139	+	0.975386i	0.0433184	+	0.0750297i
$170$	−3.59607	−	0.665886i	−0.275806	−	0.0510711i
$171$	2.11254	−	1.25002i	0.161550	−	0.0955918i
$172$			1.69601i			0.129320i
$173$	9.25824	−	5.34524i	0.703891	−	0.406391i	−0.104904	−	0.994482i	$-0.533454\pi$
$173$	9.25824	−	5.34524i	0.703891	−	0.406391i	0.808795	+	0.588091i	$0.200120\pi$
$174$	6.89411	+	11.9409i	0.522641	+	0.905241i
$175$	−14.1820	−	17.5017i	−1.07206	−	1.32300i
$176$	−4.61581	−	7.99482i	−0.347930	−	0.602632i
$177$	−16.9470	−	9.78437i	−1.27382	−	0.735438i
$178$			3.28388i			0.246137i
$179$	−7.68942			−0.574734			−0.287367	−	0.957821i	$-0.592780\pi$
$179$	−7.68942			−0.574734			−0.287367	+	0.957821i	$0.592780\pi$
$180$	3.29749	−	3.86214i	0.245780	−	0.287867i
$181$	3.06314	−	5.30551i	0.227681	−	0.394356i	−0.729439	−	0.684046i	$-0.760219\pi$
$181$	3.06314	−	5.30551i	0.227681	−	0.394356i	0.957121	+	0.289690i	$0.0935522\pi$
$182$		−	41.5910i		−	3.08293i
$183$		−	11.0301i		−	0.815371i
$184$	−1.21843	+	2.11038i	−0.0898239	+	0.155580i
$185$	−6.34776	+	2.24902i	−0.466696	+	0.165351i
$186$	−13.1021	+	22.6935i	−0.960691	+	1.66397i
$187$	1.26793	−	0.732039i	0.0927201	−	0.0535320i
$188$	−17.5427	+	10.1283i	−1.27943	+	0.738680i
$189$	25.0593			1.82280
$190$	8.23621	+	22.4787i	0.597518	+	1.63078i
$191$	5.85517			0.423666			0.211833	−	0.977306i	$-0.432057\pi$
$191$	5.85517			0.423666			0.211833	+	0.977306i	$0.432057\pi$
$192$	−10.2692	+	5.92891i	−0.741113	+	0.427882i
$193$	−2.24402	+	1.29559i	−0.161528	+	0.0932584i	−0.578585	−	0.815622i	$-0.696395\pi$
$193$	−2.24402	+	1.29559i	−0.161528	+	0.0932584i	0.417057	+	0.908880i	$0.363062\pi$
$194$	5.38692	−	9.33041i	0.386758	−	0.669885i
$195$	−4.38137	−	12.3662i	−0.313756	−	0.885561i
$196$	−26.8140	+	46.4431i	−1.91528	+	3.31737i
$197$		−	19.8628i		−	1.41517i	−0.706629	−	0.707584i	$-0.749785\pi$
$197$		−	19.8628i		−	1.41517i	0.706629	−	0.707584i	$-0.250215\pi$
$198$			3.04120i			0.216128i
$199$	−6.38092	+	11.0521i	−0.452331	+	0.783460i	−0.998530	−	0.0541948i	$-0.982741\pi$
$199$	−6.38092	+	11.0521i	−0.452331	+	0.783460i	0.546199	+	0.837655i	$0.316074\pi$
$200$	15.7183	+	19.3975i	1.11145	+	1.37161i
$201$	8.93959			0.630550
$202$		−	25.9586i		−	1.82644i
$203$	14.0307	+	8.10065i	0.984765	+	0.568554i
$204$	2.09607	+	3.63051i	0.146755	+	0.254186i
$205$	−0.105138	+	0.123142i	−0.00734318	+	0.00860059i
$206$	−7.06914	−	12.2441i	−0.492530	−	0.853088i
$207$	0.238007	−	0.137413i	0.0165426	−	0.00955089i
$208$			15.7808i			1.09420i
$209$	−8.35071	−	4.70279i	−0.577631	−	0.325299i
$210$	−7.03293	+	37.9809i	−0.485319	+	2.62093i
$211$	−6.92759	−	11.9989i	−0.476915	−	0.826041i	0.522735	−	0.852495i	$-0.324912\pi$
$211$	−6.92759	−	11.9989i	−0.476915	−	0.826041i	−0.999650	+	0.0264545i	$0.991578\pi$
$212$	9.14366	−	5.27909i	0.627989	−	0.362570i
$213$	9.42619	+	5.44221i	0.645872	+	0.372894i
$214$	−1.59935	−	2.77015i	−0.109329	−	0.189363i
$215$	0.715154	+	0.610597i	0.0487731	+	0.0416424i
$216$	−27.7738			−1.88977
$217$			30.7901i			2.09017i
$218$	−25.5957	−	14.7777i	−1.73356	−	1.00087i
$219$	−2.30850	+	3.99844i	−0.155994	+	0.270190i
$220$	−19.4962	−	3.61012i	−1.31443	−	0.243394i
$221$	−2.50273			−0.168352
$222$	10.0006	+	5.77382i	0.671193	+	0.387514i
$223$	18.7893	−	10.8480i	1.25823	−	0.726437i	0.285496	−	0.958380i	$-0.407842\pi$
$223$	18.7893	−	10.8480i	1.25823	−	0.726437i	0.972729	+	0.231943i	$0.0745083\pi$
$224$	0.734898	−	1.27288i	0.0491024	−	0.0850479i
$225$	−0.441379	−	2.78089i	−0.0294253	−	0.185392i
$226$	−9.51320	−	16.4773i	−0.632808	−	1.09606i
$227$		−	8.19628i		−	0.544006i	−0.962296	−	0.272003i	$-0.912314\pi$
$227$		−	8.19628i		−	0.544006i	0.962296	−	0.272003i	$-0.0876861\pi$
$228$	13.4657	−	23.9109i	0.891786	−	1.58354i
$229$	16.6619			1.10105			0.550526	−	0.834818i	$-0.314427\pi$
$229$	16.6619			1.10105			0.550526	+	0.834818i	$0.314427\pi$
$230$	0.895133	+	2.52647i	0.0590233	+	0.166590i
$231$	−7.73163	−	13.3916i	−0.508704	−	0.881101i
$232$	−15.5506	−	8.97814i	−1.02095	−	0.589444i
$233$	10.5772	−	6.10677i	0.692937	−	0.400068i	−0.111774	−	0.993734i	$-0.535653\pi$
$233$	10.5772	−	6.10677i	0.692937	−	0.400068i	0.804711	+	0.593666i	$0.202320\pi$
$234$	2.59935	−	4.50220i	0.169925	−	0.294318i
$235$	−2.04494	+	11.0435i	−0.133397	+	0.720402i
$236$	50.5555			3.29088
$237$	−15.3265	−	8.84876i	−0.995563	−	0.574789i
$238$	6.38140	+	3.68430i	0.413645	+	0.238818i
$239$	−2.03948			−0.131923			−0.0659614	−	0.997822i	$-0.521011\pi$
$239$	−2.03948			−0.131923			−0.0659614	+	0.997822i	$0.521011\pi$
$240$	2.66849	−	14.4110i	0.172250	−	0.930225i
$241$	−8.76183	+	15.1759i	−0.564399	+	0.977568i	0.432706	+	0.901535i	$0.357559\pi$
$241$	−8.76183	+	15.1759i	−0.564399	+	0.977568i	−0.997105	+	0.0760330i	$0.975775\pi$
$242$	−13.1154	+	7.57218i	−0.843089	+	0.486758i
$243$	4.99659	+	2.88478i	0.320531	+	0.185059i
$244$	14.2481	+	24.6784i	0.912141	+	1.57987i
$245$	9.93002	+	28.0270i	0.634406	+	1.79058i
$246$	0.277648			0.0177022
$247$	8.34289	+	14.0995i	0.530846	+	0.897129i
$248$		−	34.1254i		−	2.16697i
$249$	−12.2541	−	21.2247i	−0.776572	−	1.34506i
$250$	27.4521	+	0.705418i	1.73622	+	0.0446146i
$251$	1.66903	−	2.89084i	0.105348	−	0.182468i	−0.808532	−	0.588452i	$-0.799738\pi$
$251$	1.66903	−	2.89084i	0.105348	−	0.182468i	0.913880	+	0.405984i	$0.133071\pi$
$252$	−8.86112	+	5.11597i	−0.558198	+	0.322276i
$253$	−0.929261	−	0.536509i	−0.0584222	−	0.0337301i
$254$	9.66849			0.606655
$255$	2.28549	+	0.423205i	0.143123	+	0.0265021i
$256$	16.1185	−	27.9181i	1.00741	−	1.74488i
$257$	−23.8889	−	13.7922i	−1.49015	−	0.860337i	−0.490210	−	0.871604i	$-0.663080\pi$
$257$	−23.8889	−	13.7922i	−1.49015	−	0.860337i	−0.999937	+	0.0112676i	$0.996413\pi$
$258$		−	1.61246i		−	0.100387i
$259$	13.5686			0.843112
$260$	25.7766	+	22.0080i	1.59860	+	1.36488i
$261$	1.01255	+	1.75378i	0.0626750	+	0.108556i
$262$	34.7254	+	20.0487i	2.14534	+	1.23861i
$263$	−11.8006	+	6.81310i	−0.727658	+	0.420114i	−0.817565	−	0.575837i	$-0.804676\pi$
$263$	−11.8006	+	6.81310i	−0.727658	+	0.420114i	0.0899066	+	0.995950i	$0.471343\pi$
$264$	8.56914	+	14.8422i	0.527394	+	0.913473i
$265$	1.06587	−	5.75615i	0.0654758	−	0.353598i
$266$	−0.516467	−	48.2322i	−0.0316666	−	2.95731i
$267$		−	2.08707i		−	0.127727i
$268$	−20.0011	+	11.5476i	−1.22176	+	0.705385i
$269$	−1.80404	−	3.12469i	−0.109994	−	0.190515i	0.805773	−	0.592224i	$-0.201750\pi$
$269$	−1.80404	−	3.12469i	−0.109994	−	0.190515i	−0.915768	+	0.401708i	$0.868417\pi$
$270$	−19.8362	+	23.2329i	−1.20719	+	1.41391i
$271$	−5.28157	−	9.14795i	−0.320833	−	0.555698i	0.659828	−	0.751417i	$-0.270629\pi$
$271$	−5.28157	−	9.14795i	−0.320833	−	0.555698i	−0.980660	+	0.195719i	$0.937296\pi$
$272$	−2.42128	−	1.39793i	−0.146812	−	0.0847617i
$273$			26.4332i			1.59981i
$274$	40.3568			2.43804
$275$	−8.54126	+	6.92119i	−0.515058	+	0.417364i
$276$	1.53621	−	2.66079i	0.0924688	−	0.160161i
$277$			6.73487i			0.404659i	0.979317	+	0.202330i	$0.0648512\pi$
$277$			6.73487i			0.404659i	−0.979317	+	0.202330i	$0.935149\pi$
$278$			6.55434i			0.393103i
$279$	−1.92432	+	3.33301i	−0.115206	+	0.199542i
$280$	−16.7992	−	47.4150i	−1.00395	−	2.83359i
$281$	−11.7152	+	20.2912i	−0.698868	+	1.21047i	0.269992	+	0.962863i	$0.412979\pi$
$281$	−11.7152	+	20.2912i	−0.698868	+	1.21047i	−0.968859	+	0.247612i	$0.920354\pi$
$282$	16.6784	−	9.62928i	0.993185	−	0.573415i
$283$	−12.7160	+	7.34157i	−0.755886	+	0.436411i	−0.827817	−	0.560999i	$-0.810417\pi$
$283$	−12.7160	+	7.34157i	−0.755886	+	0.436411i	0.0719306	+	0.997410i	$0.477084\pi$
$284$	−28.1197			−1.66860
$285$	−5.23454	−	14.2864i	−0.310067	−	0.846254i
$286$	−20.2975			−1.20022
$287$	0.282531	−	0.163119i	0.0166773	−	0.00962863i
$288$	0.159104	−	0.0918589i	0.00937531	−	0.00541284i
$289$	−8.27830	+	14.3384i	−0.486959	+	0.843437i
$290$	−18.6166	+	6.59589i	−1.09320	+	0.387324i
$291$	−3.42367	+	5.92996i	−0.200699	+	0.347621i
$292$		−	11.9280i		−	0.698031i
$293$		−	18.1855i		−	1.06241i	−0.847243	−	0.531206i	$-0.821739\pi$
$293$		−	18.1855i		−	1.06241i	0.847243	−	0.531206i	$-0.178261\pi$
$294$	25.4929	−	44.1550i	1.48678	−	2.57517i
$295$	18.2009	−	21.3176i	1.05970	−	1.24116i
$296$	−15.0384			−0.874089
$297$		−	12.2296i		−	0.709634i
$298$	−38.2161	−	22.0641i	−2.21380	−	1.27814i
$299$	0.917122	+	1.58850i	0.0530385	+	0.0918654i
$300$	−19.8177	−	24.4565i	−1.14418	−	1.41200i
$301$	−0.947326	−	1.64082i	−0.0546030	−	0.0945752i
$302$	−27.0877	+	15.6391i	−1.55872	+	0.899928i
$303$			16.4981i			0.947788i
$304$	0.195962	+	18.3006i	0.0112392	+	1.04961i
$305$	15.5357	+	2.87674i	0.889570	+	0.164722i
$306$	0.460522	+	0.797647i	0.0263263	+	0.0455985i
$307$	−25.4439	+	14.6901i	−1.45216	+	0.838406i	−0.998604	−	0.0528200i	$-0.983179\pi$
$307$	−25.4439	+	14.6901i	−1.45216	+	0.838406i	−0.453559	+	0.891226i	$0.649846\pi$
$308$	34.5969	+	19.9745i	1.97134	+	1.13815i
$309$	4.49281	+	7.78177i	0.255587	+	0.442689i
$310$	−28.5460	−	24.3726i	−1.62131	−	1.38427i
$311$	−0.193232			−0.0109572			−0.00547859	−	0.999985i	$-0.501744\pi$
$311$	−0.193232			−0.0109572			−0.00547859	+	0.999985i	$0.501744\pi$
$312$		−	29.2966i		−	1.65859i
$313$	18.4251	+	10.6377i	1.04145	+	0.601281i	0.920243	−	0.391346i	$-0.127991\pi$
$313$	18.4251	+	10.6377i	1.04145	+	0.601281i	0.121206	+	0.992627i	$0.461324\pi$
$314$	−24.6285	+	42.6578i	−1.38986	+	2.40732i
$315$	−1.03293	+	5.57829i	−0.0581993	+	0.314301i
$316$	45.7213			2.57202
$317$	16.6018	+	9.58506i	0.932451	+	0.538351i	0.887586	−	0.460642i	$-0.152381\pi$
$317$	16.6018	+	9.58506i	0.932451	+	0.538351i	0.0448649	+	0.998993i	$0.485714\pi$
$318$	−8.69317	+	5.01901i	−0.487489	+	0.281452i
$319$	3.95333	−	6.84736i	0.221344	−	0.383379i
$320$	−5.67243	−	16.0102i	−0.317099	−	0.894995i
$321$	1.01647	+	1.76057i	0.0567337	+	0.0982656i
$322$		−	5.40043i		−	0.300954i
$323$	−2.90236	+	0.0310783i	−0.161492	+	0.00172924i
$324$	28.2042			1.56690
$325$	18.5601	−	2.94584i	1.02953	−	0.163406i
$326$	17.4797	+	30.2758i	0.968112	+	1.67682i
$327$	16.2674	+	9.39197i	0.899588	+	0.519377i
$328$	−0.313136	+	0.180789i	−0.0172900	+	0.00998240i
$329$	11.3145	−	19.5973i	0.623789	−	1.08043i
$330$	18.5357	+	3.43226i	1.02035	+	0.188939i
$331$	−20.6070			−1.13266			−0.566331	−	0.824178i	$-0.691638\pi$
$331$	−20.6070			−1.13266			−0.566331	+	0.824178i	$0.691638\pi$
$332$	54.8337	+	31.6583i	3.00939	+	1.73747i
$333$	1.46879	+	0.848007i	0.0804893	+	0.0464705i
$334$	−13.7948			−0.754816
$335$	−2.33151	+	12.5912i	−0.127384	+	0.687930i
$336$	−14.7646	+	25.5730i	−0.805473	+	1.39512i
$337$	8.83982	−	5.10368i	0.481536	−	0.278015i	−0.239520	−	0.970891i	$-0.576990\pi$
$337$	8.83982	−	5.10368i	0.481536	−	0.278015i	0.721056	+	0.692876i	$0.243657\pi$
$338$	2.39575	+	1.38318i	0.130311	+	0.0752353i
$339$	6.04613	+	10.4722i	0.328381	+	0.568772i
$340$	−5.66015	+	2.00540i	−0.306965	+	0.108758i
$341$	15.0264			0.813725
$342$	2.95850	−	5.25339i	0.159977	−	0.284071i
$343$		−	28.3719i		−	1.53194i
$344$	1.04994	+	1.81856i	0.0566092	+	0.0980500i
$345$	−0.568904	−	1.60570i	−0.0306287	−	0.0864481i
$346$	13.1290	−	22.7401i	0.705820	−	1.22252i
$347$	−4.71213	+	2.72055i	−0.252960	+	0.146047i	−0.621119	−	0.783716i	$-0.713322\pi$
$347$	−4.71213	+	2.72055i	−0.252960	+	0.146047i	0.368159	+	0.929763i	$0.379988\pi$
$348$	19.6063	+	11.3197i	1.05101	+	0.606800i
$349$	1.55114			0.0830304			0.0415152	−	0.999138i	$-0.486781\pi$
$349$	1.55114			0.0830304			0.0415152	+	0.999138i	$0.486781\pi$
$350$	−51.6609	−	19.8114i	−2.76139	−	1.05896i
$351$	−10.4528	+	18.1048i	−0.557928	+	0.966360i
$352$	−0.621199	−	0.358649i	−0.0331100	−	0.0191161i
$353$		−	32.9335i		−	1.75287i	−0.481517	−	0.876437i	$-0.659914\pi$
$353$		−	32.9335i		−	1.75287i	0.481517	−	0.876437i	$-0.340086\pi$
$354$	−48.0648			−2.55461
$355$	−10.1236	+	11.8572i	−0.537307	+	0.629313i
$356$	2.69596	+	4.66954i	0.142886	+	0.247485i
$357$	−4.05571	−	2.34157i	−0.214651	−	0.123929i
$358$	−16.3564	+	9.44339i	−0.864464	+	0.499098i
$359$	−1.74864	−	3.02873i	−0.0922894	−	0.159850i	0.816185	−	0.577791i	$-0.196085\pi$
$359$	−1.74864	−	3.02873i	−0.0922894	−	0.159850i	−0.908474	+	0.417941i	$0.862752\pi$
$360$	1.14483	−	6.18255i	0.0603376	−	0.325849i
$361$	9.85017	+	16.2473i	0.518430	+	0.855120i
$362$		−	15.0474i		−	0.790873i
$363$	8.33551	−	4.81251i	0.437501	−	0.252591i
$364$	−34.1449	−	59.1408i	−1.78968	−	3.09982i
$365$	−5.02963	−	4.29429i	−0.263263	−	0.224773i
$366$	−13.5461	−	23.4626i	−0.708068	−	1.22641i
$367$	16.8909	+	9.75196i	0.881697	+	0.509048i	0.871218	−	0.490897i	$-0.163331\pi$
$367$	16.8909	+	9.75196i	0.881697	+	0.509048i	0.0104794	+	0.999945i	$0.496664\pi$
$368$			2.04907i			0.106815i
$369$	0.0407784			0.00212284
$370$	−10.7405	+	12.5797i	−0.558372	+	0.653986i
$371$	−5.89738	+	10.2146i	−0.306177	+	0.530314i
$372$			43.0256i			2.23077i
$373$			23.5158i			1.21760i	0.793322	+	0.608802i	$0.208350\pi$
$373$			23.5158i			1.21760i	−0.793322	+	0.608802i	$0.791650\pi$
$374$	1.79804	−	3.11429i	0.0929743	−	0.161036i
$375$	−17.4473	−	0.448330i	−0.900972	−	0.0231517i
$376$	−12.5401	+	21.7201i	−0.646708	+	1.12013i
$377$	−11.7050	+	6.75791i	−0.602841	+	0.348050i
$378$	53.3046	−	30.7754i	2.74169	−	1.58292i
$379$	7.05148			0.362210			0.181105	−	0.983464i	$-0.442033\pi$
$379$	7.05148			0.362210			0.181105	+	0.983464i	$0.442033\pi$
$380$	30.1659	+	25.2022i	1.54748	+	1.29285i
$381$	−6.14483			−0.314809
$382$	12.4547	−	7.19075i	0.637240	−	0.367911i
$383$	2.67090	−	1.54204i	0.136476	−	0.0787947i	−0.430207	−	0.902730i	$-0.641560\pi$
$383$	2.67090	−	1.54204i	0.136476	−	0.0787947i	0.566684	+	0.823935i	$0.308226\pi$
$384$	−15.0719	+	26.1052i	−0.769133	+	1.33218i
$385$	20.8781	−	7.39717i	1.06405	−	0.376995i
$386$	−3.18222	+	5.51177i	−0.161971	+	0.280542i
$387$		−	0.236823i		−	0.0120384i
$388$		−	17.6900i		−	0.898072i
$389$	4.69542	−	8.13270i	0.238067	−	0.412345i	−0.722092	−	0.691797i	$-0.756819\pi$
$389$	4.69542	−	8.13270i	0.238067	−	0.412345i	0.960160	+	0.279452i	$0.0901528\pi$
$390$	−24.5067	−	20.9238i	−1.24094	−	1.05952i
$391$	−0.324970			−0.0164344
$392$			66.3984i			3.35362i
$393$	−22.0698	−	12.7420i	−1.11327	−	0.642749i
$394$	−24.3936	−	42.2509i	−1.22893	−	2.12857i
$395$	16.4605	−	19.2792i	0.828219	−	0.970040i
$396$	2.49673	+	4.32446i	0.125465	+	0.217312i
$397$	23.1744	−	13.3797i	1.16309	−	0.671510i	0.211047	−	0.977476i	$-0.432313\pi$
$397$	23.1744	−	13.3797i	1.16309	−	0.671510i	0.952042	+	0.305966i	$0.0989794\pi$
$398$			31.3456i			1.57122i
$399$	0.328242	+	30.6541i	0.0164326	+	1.53462i
$400$	19.6015	+	7.51699i	0.980077	+	0.375849i
$401$	12.5851	+	21.7980i	0.628468	+	1.08854i	0.987859	+	0.155352i	$0.0496511\pi$
$401$	12.5851	+	21.7980i	0.628468	+	1.08854i	−0.359391	+	0.933187i	$0.617016\pi$
$402$	19.0157	−	10.9787i	0.948417	−	0.547569i
$403$	−22.2451	−	12.8432i	−1.10811	−	0.639767i
$404$	−21.3112	−	36.9121i	−1.06027	−	1.83645i
$405$	10.1540	−	11.8928i	0.504558	−	0.590956i
$406$	39.7937			1.97493
$407$		−	6.62183i		−	0.328232i
$408$	4.49504	+	2.59521i	0.222538	+	0.128482i
$409$	−14.1608	+	24.5271i	−0.700204	+	1.21279i	0.268191	+	0.963366i	$0.413574\pi$
$409$	−14.1608	+	24.5271i	−0.700204	+	1.21279i	−0.968395	+	0.249423i	$0.919759\pi$
$410$	−0.0724126	+	0.391060i	−0.00357621	+	0.0193131i
$411$	−25.6489			−1.26516
$412$	−20.1041	−	11.6071i	−0.990457	−	0.571840i
$413$	−48.9102	+	28.2383i	−2.40671	+	1.38952i
$414$	0.337515	−	0.584593i	0.0165880	−	0.0287312i
$415$	33.0904	−	11.7240i	1.62435	−	0.575509i
$416$	0.613083	+	1.06189i	0.0300589	+	0.0520635i
$417$		−	4.16563i		−	0.203992i
$418$	−23.5386	+	0.252049i	−1.15131	+	0.0123281i
$419$	−13.0449			−0.637287			−0.318643	−	0.947875i	$-0.603227\pi$
$419$	−13.0449			−0.637287			−0.318643	+	0.947875i	$0.603227\pi$
$420$	21.1806	+	59.7811i	1.03351	+	2.91702i
$421$	−1.66248	−	2.87951i	−0.0810246	−	0.140339i	0.822666	−	0.568525i	$-0.192486\pi$
$421$	−1.66248	−	2.87951i	−0.0810246	−	0.140339i	−0.903690	+	0.428187i	$0.859153\pi$
$422$	−29.4718	−	17.0156i	−1.43467	−	0.828305i
$423$	2.44958	−	1.41426i	0.119102	−	0.0687638i
$424$	6.53621	−	11.3210i	0.317426	−	0.549798i
$425$	−1.19215	+	3.10868i	−0.0578276	+	0.150793i
$426$	26.7344			1.29528
$427$	−27.5688	−	15.9168i	−1.33415	−	0.770270i
$428$	−4.54841	−	2.62603i	−0.219856	−	0.126934i
$429$	12.9001			0.622823
$430$	2.27110	+	0.420541i	0.109522	+	0.0202803i
$431$	−0.0242034	+	0.0419216i	−0.00116584	+	0.00201929i	−0.866608	−	0.498990i	$-0.833704\pi$
$431$	−0.0242034	+	0.0419216i	−0.00116584	+	0.00201929i	0.865442	+	0.501009i	$0.167038\pi$
$432$	−20.2252	+	11.6770i	−0.973085	+	0.561811i
$433$	8.28676	+	4.78436i	0.398236	+	0.229922i	0.685723	−	0.727863i	$-0.259486\pi$
$433$	8.28676	+	4.78436i	0.398236	+	0.229922i	−0.287486	+	0.957785i	$0.592820\pi$
$434$	37.8134	+	65.4948i	1.81510	+	3.14385i
$435$	11.8318	−	4.19203i	0.567291	−	0.200992i
$436$	−48.5280			−2.32407
$437$	1.08329	+	1.83076i	0.0518209	+	0.0875773i
$438$			11.3403i			0.541861i
$439$	−11.1257	−	19.2703i	−0.531002	−	0.919723i	−0.999345	−	0.0361764i	$-0.988482\pi$
$439$	−11.1257	−	19.2703i	−0.531002	−	0.919723i	0.468343	−	0.883547i	$-0.344851\pi$
$440$	−23.1397	+	8.19846i	−1.10314	+	0.390846i
$441$	3.74417	−	6.48509i	0.178294	−	0.308814i
$442$	−5.32364	+	3.07361i	−0.253220	+	0.146197i
$443$	−17.4207	−	10.0579i	−0.827684	−	0.477863i	0.0253753	−	0.999678i	$-0.491922\pi$
$443$	−17.4207	−	10.0579i	−0.827684	−	0.477863i	−0.853059	+	0.521815i	$0.825255\pi$
$444$	18.9605			0.899827
$445$	2.93959	+	0.544325i	0.139350	+	0.0258035i
$446$	26.6449	−	46.1504i	1.26167	−	2.18528i
$447$	24.2883	+	14.0229i	1.14880	+	0.663258i
$448$			34.2224i			1.61686i
$449$	12.4973			0.589783			0.294891	−	0.955531i	$-0.404717\pi$
$449$	12.4973			0.589783			0.294891	+	0.955531i	$0.404717\pi$
$450$	−4.35408	−	5.37326i	−0.205254	−	0.253298i
$451$	−0.0796065	−	0.137883i	−0.00374852	−	0.00649263i
$452$	−27.0548	−	15.6201i	−1.27255	−	0.734707i
$453$	17.2156	−	9.93945i	0.808861	−	0.466996i
$454$	−10.0659	−	17.4346i	−0.472415	−	0.818246i
$455$	−37.2305	−	6.89399i	−1.74539	−	0.323195i
$456$	−0.363798	−	33.9746i	−0.0170364	−	1.59101i
$457$			28.3179i			1.32465i	0.749215	+	0.662327i	$0.230431\pi$
$457$			28.3179i			1.32465i	−0.749215	+	0.662327i	$0.769569\pi$
$458$	35.4422	−	20.4626i	1.65610	−	0.956153i
$459$	−1.85190	−	3.20759i	−0.0864394	−	0.149717i
$460$	3.34700	+	2.85766i	0.156054	+	0.133239i
$461$	−2.65976	−	4.60683i	−0.123877	−	0.214562i	0.797416	−	0.603430i	$-0.206200\pi$
$461$	−2.65976	−	4.60683i	−0.123877	−	0.214562i	−0.921293	+	0.388868i	$0.872866\pi$
$462$	−32.8924	−	18.9904i	−1.53029	−	0.883515i
$463$		−	17.9327i		−	0.833401i	−0.909044	−	0.416701i	$-0.863186\pi$
$463$		−	17.9327i		−	0.833401i	0.909044	−	0.416701i	$-0.136814\pi$
$464$	−15.0988			−0.700944
$465$	18.1425	+	15.4900i	0.841338	+	0.718333i
$466$	14.9995	−	25.9798i	0.694836	−	1.20349i
$467$		−	28.7791i		−	1.33174i	−0.746069	−	0.665868i	$-0.768061\pi$
$467$		−	28.7791i		−	1.33174i	0.746069	−	0.665868i	$-0.231939\pi$
$468$		−	8.53593i		−	0.394574i
$469$	12.9001	−	22.3436i	0.595672	−	1.03173i
$470$	9.21274	+	26.0025i	0.424952	+	1.19941i
$471$	15.6527	−	27.1112i	0.721237	−	1.24922i
$472$	54.2083	−	31.2972i	2.49514	−	1.44057i
$473$	−0.800762	+	0.462320i	−0.0368191	+	0.0212575i
$474$	−43.4687			−1.99658
$475$	21.4872	−	3.64671i	0.985902	−	0.167323i
$476$	12.0988			0.554548
$477$	−1.27678	+	0.737147i	−0.0584595	+	0.0337516i
$478$	−4.33824	+	2.50469i	−0.198427	+	0.114562i
$479$	−4.02574	+	6.97279i	−0.183941	+	0.318595i	−0.943219	−	0.332171i	$-0.892219\pi$
$479$	−4.02574	+	6.97279i	−0.183941	+	0.318595i	0.759278	+	0.650766i	$0.225552\pi$
$480$	−0.380304	−	1.07339i	−0.0173584	−	0.0489933i
$481$	−5.65976	+	9.80298i	−0.258063	+	0.446978i
$482$			43.0417i			1.96049i
$483$			3.43226i			0.156173i
$484$	−12.4330	+	21.5347i	−0.565138	+	0.978849i
$485$	−7.45928	−	6.36872i	−0.338708	−	0.289189i
$486$	14.1712			0.642819
$487$		−	1.09761i		−	0.0497376i	−0.999691	−	0.0248688i	$-0.992083\pi$
$487$		−	1.09761i		−	0.0497376i	0.999691	−	0.0248688i	$-0.00791680\pi$
$488$	30.5551	+	17.6410i	1.38316	+	0.798571i
$489$	−11.1093	−	19.2418i	−0.502379	−	0.870145i
$490$	55.5425	+	47.4221i	2.50915	+	2.14231i
$491$	−6.55267	−	11.3496i	−0.295718	−	0.512199i	0.679434	−	0.733737i	$-0.262226\pi$
$491$	−6.55267	−	11.3496i	−0.295718	−	0.512199i	−0.975152	+	0.221538i	$0.928892\pi$
$492$	0.394804	−	0.227940i	0.0177991	−	0.0102763i
$493$		−	2.39458i		−	0.107846i
$494$	35.0621	+	19.7456i	1.57752	+	0.888395i
$495$	2.72235	+	0.504099i	0.122361	+	0.0226576i
$496$	−14.3474	−	24.8505i	−0.644219	−	1.11582i
$497$	27.2046	−	15.7066i	1.22029	−	0.704536i
$498$	−52.1322	−	30.0985i	−2.33610	−	1.34875i
$499$	12.0703	+	20.9064i	0.540342	+	0.935900i	0.998884	+	0.0472275i	$0.0150386\pi$
$499$	12.0703	+	20.9064i	0.540342	+	0.935900i	−0.458542	+	0.888673i	$0.651628\pi$
$500$	39.6150	−	21.5343i	1.77163	−	0.963042i
$501$	8.76729			0.391694
$502$		−	8.19895i		−	0.365937i
$503$	16.4214	+	9.48090i	0.732194	+	0.422733i	0.819224	−	0.573473i	$-0.194404\pi$
$503$	16.4214	+	9.48090i	0.732194	+	0.422733i	−0.0870300	+	0.996206i	$0.527738\pi$
$504$	−6.33424	+	10.9712i	−0.282150	+	0.488697i
$505$	−23.2371	−	4.30282i	−1.03404	−	0.191473i
$506$	−2.63555			−0.117165
$507$	−1.52262	−	0.879086i	−0.0676220	−	0.0390416i
$508$	13.7482	−	7.93753i	0.609978	−	0.352171i
$509$	10.9803	−	19.0184i	0.486692	−	0.842974i	−0.513191	−	0.858274i	$-0.671537\pi$
$509$	10.9803	−	19.0184i	0.486692	−	0.842974i	0.999883	+	0.0152997i	$0.00487025\pi$
$510$	5.38129	−	1.90660i	0.238287	−	0.0844257i
$511$	6.66248	+	11.5398i	0.294731	+	0.510489i
$512$		−	40.5609i		−	1.79255i
$513$	−11.8971	+	21.1255i	−0.525268	+	0.932714i
$514$	−67.7531			−2.98846
$515$	−12.1322	+	4.29846i	−0.534608	+	0.189413i
$516$	−1.32378	−	2.29285i	−0.0582761	−	0.100937i
$517$	−9.56399	−	5.52177i	−0.420624	−	0.242847i
$518$	28.8622	−	16.6636i	1.26813	−	0.732157i
$519$	−8.34417	+	14.4525i	−0.366268	+	0.634395i
$520$	41.2635	+	7.64077i	1.80952	+	0.335070i
$521$	6.56968			0.287823			0.143912	−	0.989591i	$-0.454032\pi$
$521$	6.56968			0.287823			0.143912	+	0.989591i	$0.454032\pi$
$522$	4.30764	+	2.48702i	0.188540	+	0.108854i
$523$	−3.63538	−	2.09889i	−0.158964	−	0.0917779i	0.418408	−	0.908259i	$-0.362588\pi$
$523$	−3.63538	−	2.09889i	−0.158964	−	0.0917779i	−0.577372	+	0.816481i	$0.695922\pi$
$524$	65.8375			2.87613
$525$	32.8332	+	12.5912i	1.43296	+	0.549524i
$526$	−16.7344	+	28.9848i	−0.729653	+	1.26380i
$527$	3.94113	−	2.27541i	0.171678	−	0.0991186i
$528$	12.4803	+	7.20549i	0.543134	+	0.313579i
$529$	−11.3809	−	19.7123i	−0.494822	−	0.857058i
$530$	−4.80189	−	13.5531i	−0.208581	−	0.588709i
$531$	−7.05933			−0.306349
$532$	−40.3316	−	68.1603i	−1.74860	−	2.95513i
$533$			0.272162i			0.0117887i
$534$	−2.56314	−	4.43949i	−0.110918	−	0.192115i
$535$	−2.74482	+	0.972497i	−0.118669	+	0.0420447i
$536$	−14.2975	+	24.7640i	−0.617558	+	1.06964i
$537$	10.3954	−	6.00176i	0.448593	−	0.258995i
$538$	−7.67486	−	4.43108i	−0.330887	−	0.191038i
$539$	−29.2371			−1.25933
$540$	−9.13282	+	49.3212i	−0.393014	+	2.12245i
$541$	2.31505	−	4.00978i	0.0995316	−	0.172394i	−0.811959	−	0.583714i	$-0.801599\pi$
$541$	2.31505	−	4.00978i	0.0995316	−	0.172394i	0.911491	+	0.411320i	$0.134932\pi$
$542$	−22.4692	−	12.9726i	−0.965136	−	0.557221i
$543$			9.56340i			0.410405i
$544$	−0.217238			−0.00931400
$545$	−17.4710	+	20.4627i	−0.748376	+	0.876525i
$546$	32.4627	+	56.2271i	1.38928	+	2.40630i
$547$	−32.9435	−	19.0199i	−1.40856	−	0.813233i	−0.413312	−	0.910590i	$-0.635628\pi$
$547$	−32.9435	−	19.0199i	−1.40856	−	0.813233i	−0.995250	+	0.0973563i	$0.968961\pi$
$548$	57.3858	−	33.1317i	2.45140	−	1.41532i
$549$	−1.98953	−	3.44597i	−0.0849113	−	0.147071i
$550$	−9.66849	+	25.2118i	−0.412266	+	1.07504i
$551$	−13.4902	+	7.98236i	−0.574701	+	0.340060i
$552$		−	3.80405i		−	0.161911i
$553$	−44.2333	+	25.5381i	−1.88099	+	1.08599i
$554$	8.27110	+	14.3260i	0.351406	+	0.608652i
$555$	6.82615	−	7.99503i	0.289754	−	0.339370i
$556$	5.38092	+	9.32002i	0.228202	+	0.395257i
$557$	31.5498	+	18.2153i	1.33681	+	0.771807i	0.986333	−	0.164765i	$-0.0526866\pi$
$557$	31.5498	+	18.2153i	1.33681	+	0.771807i	0.350476	+	0.936572i	$0.386020\pi$
$558$			9.45302i			0.400178i
$559$	1.58060			0.0668523
$560$	−32.1682	−	27.4651i	−1.35935	−	1.16061i
$561$	−1.14275	+	1.97929i	−0.0482468	+	0.0835659i
$562$			57.5496i			2.42758i
$563$			20.6856i			0.871795i	0.899996	+	0.435897i	$0.143569\pi$
$563$			20.6856i			0.871795i	−0.899996	+	0.435897i	$0.856431\pi$
$564$	15.8107	−	27.3849i	0.665750	−	1.15311i
$565$	−16.3267	+	5.78459i	−0.686870	+	0.243359i
$566$	−18.0324	+	31.2330i	−0.757958	+	1.31282i
$567$	−27.2862	+	15.7537i	−1.14591	+	0.661594i
$568$	−30.1515	+	17.4080i	−1.26513	+	0.730422i
$569$	27.1132			1.13664			0.568322	−	0.822806i	$-0.307593\pi$
$569$	27.1132			1.13664			0.568322	+	0.822806i	$0.307593\pi$
$570$	−28.6797	−	23.9606i	−1.20126	−	1.00360i
$571$	46.4687			1.94466			0.972328	−	0.233622i	$-0.0750578\pi$
$571$	46.4687			1.94466			0.972328	+	0.233622i	$0.0750578\pi$
$572$	−28.8622	+	16.6636i	−1.20679	+	0.696741i
$573$	−7.91564	+	4.57009i	−0.330680	+	0.190918i
$574$	0.400654	−	0.693954i	0.0167230	−	0.0289651i
$575$	2.40996	−	0.382507i	0.100502	−	0.0159516i
$576$	−2.13882	+	3.70455i	−0.0891177	+	0.154356i
$577$		−	18.0398i		−	0.751008i	−0.926821	−	0.375504i	$-0.877470\pi$
$577$		−	18.0398i		−	0.751008i	0.926821	−	0.375504i	$-0.122530\pi$
$578$			40.6664i			1.69150i
$579$	2.02247	−	3.50302i	0.0840509	−	0.145580i
$580$	−21.0570	+	24.6627i	−0.874344	+	1.02406i
$581$	−70.7322			−2.93447
$582$			16.8184i			0.697147i
$583$	4.98497	+	2.87808i	0.206457	+	0.119198i
$584$	−7.38419	−	12.7898i	−0.305560	−	0.529245i
$585$	−3.59932	−	3.07310i	−0.148814	−	0.127057i
$586$	−22.3337	−	38.6831i	−0.922597	−	1.59798i
$587$	−22.5458	+	13.0168i	−0.930565	+	0.537262i	−0.886990	−	0.461788i	$-0.847208\pi$
$587$	−22.5458	+	13.0168i	−0.930565	+	0.537262i	−0.0435750	+	0.999050i	$0.513875\pi$
$588$		−	83.7156i		−	3.45237i
$589$	−25.9567	−	14.6178i	−1.06953	−	0.602316i
$590$	12.5357	−	67.6980i	0.516085	−	2.78708i
$591$	15.5034	+	26.8526i	0.637724	+	1.10457i
$592$	−10.9511	+	6.32263i	−0.450088	+	0.259858i
$593$	15.7236	+	9.07803i	0.645691	+	0.372790i	0.786804	−	0.617203i	$-0.211734\pi$
$593$	15.7236	+	9.07803i	0.645691	+	0.372790i	−0.141112	+	0.989994i	$0.545068\pi$
$594$	−15.0192	−	26.0140i	−0.616245	−	1.06737i
$595$	4.35580	−	5.10167i	0.178570	−	0.209148i
$596$	−72.4556			−2.96790
$597$		−	19.9218i		−	0.815345i
$598$	3.90168	+	2.25264i	0.159552	+	0.0921172i
$599$	20.0357	−	34.7028i	0.818635	−	1.41792i	−0.0880531	−	0.996116i	$-0.528065\pi$
$599$	20.0357	−	34.7028i	0.818635	−	1.41792i	0.906688	−	0.421802i	$-0.138602\pi$
$600$	−36.3898	−	13.9551i	−1.48561	−	0.569715i
$601$	15.0473			0.613793			0.306897	−	0.951743i	$-0.400709\pi$
$601$	15.0473			0.613793			0.306897	+	0.951743i	$0.400709\pi$
$602$	−4.03018	−	2.32683i	−0.164258	−	0.0948344i
$603$	2.79286	−	1.61246i	0.113734	−	0.0656643i
$604$	−25.6784	+	44.4763i	−1.04484	+	1.80972i
$605$	4.60433	+	12.9955i	0.187193	+	0.528342i
$606$	20.2613	+	35.0936i	0.823059	+	1.42558i
$607$			29.3860i			1.19274i	0.802709	+	0.596370i	$0.203391\pi$
$607$			29.3860i			1.19274i	−0.802709	+	0.596370i	$0.796609\pi$
$608$	0.724166	+	1.22384i	0.0293688	+	0.0496333i
$609$	−25.2910			−1.02484
$610$	36.5794	−	12.9602i	1.48106	−	0.524741i
$611$	9.43905	+	16.3489i	0.381863	+	0.661406i
$612$	1.30969	+	0.756148i	0.0529410	+	0.0305655i
$613$	−30.0578	+	17.3539i	−1.21402	+	0.700917i	−0.963633	−	0.267229i	$-0.913892\pi$
$613$	−30.0578	+	17.3539i	−1.21402	+	0.700917i	−0.250390	+	0.968145i	$0.580559\pi$
$614$	−36.0818	+	62.4955i	−1.45614	+	2.52211i
$615$	0.0460220	−	0.248539i	0.00185579	−	0.0100220i
$616$	49.4622			1.99289
$617$	9.29031	+	5.36376i	0.374014	+	0.215937i	0.675210	−	0.737625i	$-0.264053\pi$
$617$	9.29031	+	5.36376i	0.374014	+	0.215937i	−0.301197	+	0.953562i	$0.597386\pi$
$618$	19.1136	+	11.0352i	0.768862	+	0.443903i
$619$	36.1437			1.45274			0.726370	−	0.687304i	$-0.241206\pi$
$619$	36.1437			1.45274			0.726370	+	0.687304i	$0.241206\pi$
$620$	−60.6004	−	11.2214i	−2.43377	−	0.450663i
$621$	−1.35725	+	2.35083i	−0.0544647	+	0.0943357i
$622$	−0.411031	+	0.237309i	−0.0164808	+	0.00951521i
$623$	−5.21644	−	3.01171i	−0.208992	−	0.120662i
$624$	−12.3172	−	21.3341i	−0.493084	−	0.854046i
$625$	5.18184	−	24.4571i	0.207274	−	0.978283i
$626$	52.2569			2.08861
$627$	14.9600	−	0.160191i	0.597445	−	0.00639739i
$628$			80.8768i			3.22734i
$629$	−1.00273	−	1.73678i	−0.0399814	−	0.0692499i
$630$	4.65352	+	13.1343i	0.185401	+	0.523284i
$631$	15.7882	−	27.3460i	0.628519	−	1.08863i	−0.359330	−	0.933211i	$-0.616995\pi$
$631$	15.7882	−	27.3460i	0.628519	−	1.08863i	0.987849	−	0.155417i	$-0.0496720\pi$
$632$	49.0248	−	28.3045i	1.95010	−	1.12589i
$633$	18.7309	+	10.8143i	0.744485	+	0.429829i
$634$	47.0857			1.87001
$635$	1.60262	−	8.65483i	0.0635979	−	0.343456i
$636$	−8.24090	+	14.2737i	−0.326773	+	0.565987i
$637$	43.2827	+	24.9893i	1.71492	+	0.990111i
$638$		−	19.4204i		−	0.768859i
$639$	3.92650			0.155330
$640$	−32.8377	−	28.0368i	−1.29802	−	1.10825i
$641$	−9.91331	−	17.1704i	−0.391552	−	0.678188i	0.601102	−	0.799172i	$-0.294728\pi$
$641$	−9.91331	−	17.1704i	−0.391552	−	0.678188i	−0.992654	+	0.120984i	$0.961395\pi$
$642$	4.32432	+	2.49665i	0.170667	+	0.0985349i
$643$	11.6540	−	6.72843i	0.459588	−	0.265343i	−0.252283	−	0.967654i	$-0.581181\pi$
$643$	11.6540	−	6.72843i	0.459588	−	0.265343i	0.711871	+	0.702310i	$0.247848\pi$
$644$	−4.43359	−	7.67920i	−0.174708	−	0.302603i
$645$	−1.44340	−	0.267276i	−0.0568340	−	0.0105240i
$646$	−6.13555	+	3.63051i	−0.241400	+	0.142840i
$647$		−	4.19511i		−	0.164927i	−0.996594	−	0.0824634i	$-0.973721\pi$
$647$		−	4.19511i		−	0.164927i	0.996594	−	0.0824634i	$-0.0262787\pi$
$648$	30.2420	−	17.4602i	1.18802	−	0.685902i
$649$	13.7810	+	23.8694i	0.540953	+	0.936957i
$650$	35.8621	−	29.0600i	1.40663	−	1.13983i
$651$	−24.0324	−	41.6253i	−0.941904	−	1.63143i
$652$	49.7109	+	28.7006i	1.94683	+	1.12400i
$653$		−	12.1680i		−	0.476170i	−0.971244	−	0.238085i	$-0.923480\pi$
$653$		−	12.1680i		−	0.476170i	0.971244	−	0.238085i	$-0.0765196\pi$
$654$	46.1372			1.80411
$655$	23.7028	−	27.7615i	0.926143	−	1.08473i
$656$	−0.152019	+	0.263305i	−0.00593535	+	0.0102803i
$657$			1.66556i			0.0649798i
$658$		−	55.5814i		−	2.16679i
$659$	4.12236	−	7.14013i	0.160584	−	0.278140i	−0.774494	−	0.632581i	$-0.781996\pi$
$659$	4.12236	−	7.14013i	0.160584	−	0.278140i	0.935078	+	0.354441i	$0.115329\pi$
$660$	29.1748	−	10.3367i	1.13563	−	0.402355i
$661$	−10.5599	+	18.2902i	−0.410731	+	0.711407i	−0.994970	−	0.100175i	$-0.968060\pi$
$661$	−10.5599	+	18.2902i	−0.410731	+	0.711407i	0.584239	+	0.811582i	$0.301393\pi$
$662$	−43.8338	+	25.3075i	−1.70365	+	0.983603i
$663$	3.38345	−	1.95344i	0.131402	−	0.0758652i
$664$	78.3941			3.04228
$665$	−43.2611	−	7.53250i	−1.67759	−	0.292098i
$666$	4.16576			0.161420
$667$	−1.51986	+	0.877489i	−0.0588490	+	0.0339765i
$668$	−19.6156	+	11.3251i	−0.758951	+	0.438180i
$669$	−16.9342	+	29.3310i	−0.654716	+	1.13400i
$670$	10.5038	+	29.6465i	0.405798	+	1.14534i
$671$	−7.76783	+	13.4543i	−0.299874	+	0.519397i
$672$			2.29442i			0.0885090i
$673$		−	30.2802i		−	1.16722i	−0.812036	−	0.583608i	$-0.801641\pi$
$673$		−	30.2802i		−	1.16722i	0.812036	−	0.583608i	$-0.198359\pi$
$674$	12.5357	−	21.7124i	0.482856	−	0.836331i
$675$	17.5091	+	21.6076i	0.673927	+	0.831676i
$676$	4.54221			0.174700
$677$		−	49.9003i		−	1.91783i	−0.283701	−	0.958913i	$-0.591562\pi$
$677$		−	49.9003i		−	1.91783i	0.283701	−	0.958913i	$-0.408438\pi$
$678$	25.7219	+	14.8505i	0.987842	+	0.570331i
$679$	9.88092	+	17.1142i	0.379195	+	0.656785i
$680$	−4.82763	+	5.65430i	−0.185131	+	0.216832i
$681$	6.39738	+	11.0806i	0.245148	+	0.424609i
$682$	31.9632	−	18.4539i	1.22393	−	0.706638i
$683$			3.11357i			0.119137i	0.998224	+	0.0595687i	$0.0189725\pi$
$683$			3.11357i			0.119137i	−0.998224	+	0.0595687i	$0.981027\pi$
$684$	−0.105997	−	9.89894i	−0.00405290	−	0.378496i
$685$	6.68942	−	36.1258i	0.255590	−	1.38029i
$686$	−34.8436	−	60.3509i	−1.33034	−	2.30421i
$687$	−22.5254	+	13.0050i	−0.859396	+	0.496172i
$688$	1.52916	+	0.882861i	0.0582987	+	0.0336588i
$689$	−4.91985	−	8.52143i	−0.187431	−	0.324641i
$690$	−3.18210	−	2.71687i	−0.121140	−	0.103430i
$691$	−30.2831			−1.15202			−0.576012	−	0.817441i	$-0.695392\pi$
$691$	−30.2831			−1.15202			−0.576012	+	0.817441i	$0.695392\pi$
$692$		−	43.1140i		−	1.63895i
$693$	−4.83094	−	2.78915i	−0.183512	−	0.105951i
$694$	−6.68222	+	11.5740i	−0.253654	+	0.439341i
$695$	5.86718	+	1.08643i	0.222555	+	0.0412105i
$696$	28.0305			1.06250
$697$	−0.0417585	−	0.0241093i	−0.00158172	−	0.000913204i
$698$	3.29948	−	1.90495i	0.124887	−	0.0721035i
$699$	−9.53293	+	16.5115i	−0.360569	+	0.624523i
$700$	−89.7243	+	14.2409i	−3.39126	+	0.538257i
$701$	−22.2849	−	38.5987i	−0.841691	−	1.45785i	−0.888464	−	0.458946i	$-0.848227\pi$
$701$	−22.2849	−	38.5987i	−0.841691	−	1.45785i	0.0467733	−	0.998906i	$-0.485106\pi$
$702$			51.3483i			1.93802i
$703$	−6.44177	+	11.4386i	−0.242956	+	0.431415i
$704$	16.7014			0.629458
$705$	−5.85518	−	16.5259i	−0.220519	−	0.622403i
$706$	−40.4457	−	70.0540i	−1.52219	−	2.63652i
$707$	41.2353	+	23.8072i	1.55081	+	0.895363i
$708$	−68.3462	+	39.4597i	−2.56861	+	1.48299i
$709$	4.67176	−	8.09172i	0.175452	−	0.303891i	−0.764866	−	0.644190i	$-0.777195\pi$
$709$	4.67176	−	8.09172i	0.175452	−	0.303891i	0.940317	+	0.340299i	$0.110528\pi$
$710$	−6.97252	+	37.6546i	−0.261674	+	1.41315i
$711$	−6.38429			−0.239430
$712$	5.78150	+	3.33795i	0.216671	+	0.125095i
$713$	−2.88844	−	1.66764i	−0.108173	−	0.0624538i
$714$	−11.5027			−0.430479
$715$	−3.36445	+	18.1695i	−0.125823	+	0.679500i
$716$	−15.5055	+	26.8562i	−0.579466	+	1.00366i
$717$	2.75718	−	1.59186i	0.102969	−	0.0594490i
$718$	−7.43916	−	4.29500i	−0.277627	−	0.160288i
$719$	12.6987	+	21.9948i	0.473581	+	0.820267i	0.999543	−	0.0302417i	$-0.00962768\pi$
$719$	12.6987	+	21.9948i	0.473581	+	0.820267i	−0.525961	+	0.850508i	$0.676294\pi$
$720$	−1.76567	−	4.98352i	−0.0658027	−	0.185725i
$721$	25.9330			0.965797
$722$	40.9059	+	22.4631i	1.52236	+	0.835992i
$723$		−	27.3552i		−	1.01735i
$724$	−12.3534	−	21.3968i	−0.459112	−	0.795205i
$725$	2.81854	+	17.7581i	0.104678	+	0.659519i
$726$	11.8205	−	20.4737i	0.438700	−	0.759851i
$727$	27.2259	−	15.7189i	1.00975	−	0.582980i	0.0986328	−	0.995124i	$-0.468553\pi$
$727$	27.2259	−	15.7189i	1.00975	−	0.582980i	0.911119	+	0.412143i	$0.135220\pi$
$728$	−73.2240	−	42.2759i	−2.71386	−	1.56685i
$729$	−29.9869			−1.11063
$730$	−15.9725	−	2.95764i	−0.591170	−	0.109467i
$731$	−0.140016	+	0.242515i	−0.00517869	+	0.00896975i
$732$	−38.5241	−	22.2419i	−1.42389	−	0.822085i
$733$		−	25.3946i		−	0.937971i	−0.883206	−	0.468985i	$-0.844620\pi$
$733$		−	25.3946i		−	0.937971i	0.883206	−	0.468985i	$-0.155380\pi$
$734$	47.9056			1.76823
$735$	−35.3001	−	30.1392i	−1.30206	−	1.11170i
$736$	0.0796065	+	0.137883i	0.00293434	+	0.00508242i
$737$	−10.9043	−	6.29559i	−0.401664	−	0.231901i
$738$	0.0867411	−	0.0500800i	0.00319299	−	0.00184347i
$739$	17.7541	+	30.7510i	0.653095	+	1.13119i	0.982368	+	0.186959i	$0.0598631\pi$
$739$	17.7541	+	30.7510i	0.653095	+	1.13119i	−0.329273	+	0.944235i	$0.606804\pi$
$740$	−4.94505	+	26.7054i	−0.181784	+	0.981710i
$741$	−22.2838	−	12.5493i	−0.818614	−	0.461011i
$742$			28.9703i			1.06353i
$743$	14.8176	−	8.55493i	0.543604	−	0.313850i	−0.202934	−	0.979192i	$-0.565048\pi$
$743$	14.8176	−	8.55493i	0.543604	−	0.313850i	0.746538	+	0.665342i	$0.231714\pi$
$744$	26.6357	+	46.1343i	0.976511	+	1.69137i
$745$	−26.0854	+	30.5522i	−0.955695	+	1.11934i
$746$	28.8798	+	50.0213i	1.05737	+	1.83141i
$747$	−7.65671	−	4.42060i	−0.280144	−	0.161741i
$748$		−	5.90453i		−	0.215891i
$749$	5.86718			0.214382
$750$	−37.6632	+	20.4733i	−1.37527	+	0.747581i
$751$	3.72562	−	6.45297i	0.135950	−	0.235472i	−0.790010	−	0.613094i	$-0.789925\pi$
$751$	3.72562	−	6.45297i	0.135950	−	0.235472i	0.925960	+	0.377622i	$0.123258\pi$
$752$			21.0891i			0.769041i
$753$			5.21086i			0.189894i
$754$	−16.5988	+	28.7500i	−0.604493	+	1.04701i
$755$	9.50949	+	26.8401i	0.346086	+	0.976810i
$756$	50.5313	−	87.5228i	1.83781	−	3.18317i
$757$	−46.5640	+	26.8838i	−1.69240	+	0.977107i	−0.739824	+	0.672801i	$0.765091\pi$
$757$	−46.5640	+	26.8838i	−1.69240	+	0.977107i	−0.952574	+	0.304306i	$0.901575\pi$
$758$	14.9994	−	8.65994i	0.544804	−	0.314543i
$759$	1.67503			0.0607997
$760$	47.9473	+	8.34845i	1.73923	+	0.302830i
$761$	23.3939			0.848029			0.424014	−	0.905655i	$-0.360621\pi$
$761$	23.3939			0.848029			0.424014	+	0.905655i	$0.360621\pi$
$762$	−13.0709	+	7.54647i	−0.473508	+	0.273380i
$763$	46.9487	−	27.1058i	1.69966	−	0.981297i
$764$	11.8068	−	20.4499i	0.427154	−	0.739852i
$765$	0.790355	−	0.280025i	0.0285754	−	0.0101243i
$766$	3.78757	−	6.56027i	0.136851	−	0.237032i
$767$		−	47.1152i		−	1.70123i
$768$			50.3235i			1.81589i
$769$	−6.62236	+	11.4703i	−0.238808	+	0.413628i	−0.960373	−	0.278719i	$-0.910090\pi$
$769$	−6.62236	+	11.4703i	−0.238808	+	0.413628i	0.721564	+	0.692347i	$0.243423\pi$
$770$	35.3261	−	41.3753i	1.27307	−	1.49106i
$771$	43.0606			1.55079
$772$			10.4500i			0.376105i
$773$	15.4198	+	8.90262i	0.554611	+	0.320205i	0.750980	−	0.660325i	$-0.229582\pi$
$773$	15.4198	+	8.90262i	0.554611	+	0.320205i	−0.196369	+	0.980530i	$0.562915\pi$
$774$	−0.290843	−	0.503755i	−0.0104541	−	0.0181071i
$775$	−26.5490	+	21.5133i	−0.953668	+	0.772781i
$776$	−10.9512	−	18.9681i	−0.393127	−	0.680916i
$777$	−18.3434	+	10.5906i	−0.658068	+	0.379935i
$778$		−	23.0658i		−	0.826949i
$779$	0.00337965	+	0.315621i	0.000121088	+	0.0113083i
$780$	−52.0253	−	9.63354i	−1.86280	−	0.344936i
$781$	−7.66521	−	13.2765i	−0.274283	−	0.475072i
$782$	−0.691255	+	0.399096i	−0.0247192	+	0.0142716i
$783$	−17.3224	−	10.0011i	−0.619051	−	0.357409i
$784$	27.9160	+	48.3520i	0.997001	+	1.72686i
$785$	34.1031	+	29.1172i	1.21719	+	1.03924i
$786$	−62.5939			−2.23265
$787$			43.5779i			1.55339i	0.629880	+	0.776693i	$0.283104\pi$
$787$			43.5779i			1.55339i	−0.629880	+	0.776693i	$0.716896\pi$
$788$	−69.3734	−	40.0527i	−2.47132	−	1.42682i
$789$	10.6356	−	18.4213i	0.378636	−	0.655816i
$790$	11.3370	−	61.2246i	0.403351	−	2.17827i
$791$	34.8990			1.24087
$792$	5.35425	+	3.09128i	0.190255	+	0.109844i
$793$	22.9991	−	13.2785i	0.816721	−	0.471534i
$794$	32.8634	−	56.9210i	1.16628	−	2.02005i
$795$	3.05185	+	8.61370i	0.108238	+	0.305497i
$796$	25.7338	+	44.5723i	0.912111	+	1.57982i
$797$			16.1311i			0.571395i	0.958320	+	0.285697i	$0.0922252\pi$
$797$			16.1311i			0.571395i	−0.958320	+	0.285697i	$0.907775\pi$
$798$	38.3446	+	64.8023i	1.35738	+	2.29398i
$799$	−3.34460			−0.118323
$800$	1.61103	−	0.255700i	0.0569584	−	0.00904038i
$801$	−0.376451	−	0.652032i	−0.0133012	−	0.0230384i
$802$	53.5403	+	30.9115i	1.89057	+	1.09152i
$803$	5.63170	−	3.25147i	0.198739	−	0.114742i
$804$	18.0264	−	31.2226i	0.635742	−	1.10114i
$805$	−4.83424	−	0.895159i	−0.170385	−	0.0315502i
$806$	−63.0912			−2.22229
$807$	4.87777	+	2.81618i	0.171706	+	0.0991344i
$808$	−45.7021	−	26.3861i	−1.60779	−	0.928259i
$809$	−28.7134			−1.00951			−0.504755	−	0.863263i	$-0.668417\pi$
$809$	−28.7134			−1.00951			−0.504755	+	0.863263i	$0.668417\pi$
$810$	6.99346	−	37.7677i	0.245725	−	1.32702i
$811$	−10.7711	+	18.6561i	−0.378225	+	0.655104i	−0.990804	−	0.135305i	$-0.956799\pi$
$811$	−10.7711	+	18.6561i	−0.378225	+	0.655104i	0.612579	+	0.790409i	$0.290132\pi$
$812$	56.5850	−	32.6694i	1.98575	−	1.14647i
$813$	14.2804	+	8.24477i	0.500834	+	0.289157i
$814$	−8.13228	−	14.0855i	−0.285036	−	0.493697i
$815$	29.9990	−	10.6287i	1.05082	−	0.372307i
$816$	4.36445			0.152786
$817$	1.83299	−	0.0196275i	0.0641282	−	0.000686680i
$818$			69.5634i			2.43223i
$819$	4.76783	+	8.25813i	0.166602	+	0.288562i
$820$	0.218080	+	0.615520i	0.00761568	+	0.0214949i
$821$	−16.6602	+	28.8563i	−0.581445	+	1.00709i	0.413863	+	0.910339i	$0.364179\pi$
$821$	−16.6602	+	28.8563i	−0.581445	+	1.00709i	−0.995308	+	0.0967536i	$0.969154\pi$
$822$	−54.5586	+	31.4994i	−1.90295	+	1.09867i
$823$	−32.2499	−	18.6195i	−1.12416	−	0.649035i	−0.181701	−	0.983354i	$-0.558160\pi$
$823$	−32.2499	−	18.6195i	−1.12416	−	0.649035i	−0.942460	+	0.334319i	$0.891494\pi$
$824$	−28.7422			−1.00128
$825$	6.14483	−	16.0234i	0.213935	−	0.557864i
$826$	−69.3590	+	120.133i	−2.41331	+	4.17997i
$827$	25.1591	+	14.5256i	0.874868	+	0.505105i	0.868963	−	0.494877i	$-0.164787\pi$
$827$	25.1591	+	14.5256i	0.874868	+	0.505105i	0.00590503	+	0.999983i	$0.498120\pi$
$828$		−	1.10836i		−	0.0385181i
$829$	−34.5380			−1.19956			−0.599778	−	0.800166i	$-0.704744\pi$
$829$	−34.5380			−1.19956			−0.599778	+	0.800166i	$0.704744\pi$
$830$	55.9895	−	65.5769i	1.94342	−	2.27621i
$831$	−5.25672	−	9.10490i	−0.182353	−	0.315845i
$832$	−24.7249	−	14.2749i	−0.857180	−	0.494893i
$833$	−7.66832	+	4.42731i	−0.265692	+	0.153397i
$834$	−5.11581	−	8.86085i	−0.177146	−	0.306826i
$835$	−2.28658	+	12.3485i	−0.0791302	+	0.427338i
$836$	−33.2640	+	19.6829i	−1.15046	+	0.680746i
$837$		−	38.0136i		−	1.31394i
$838$	−27.7483	+	16.0205i	−0.958550	+	0.553419i
$839$	−22.3622	−	38.7324i	−0.772028	−	1.33719i	−0.936450	−	0.350801i	$-0.885909\pi$
$839$	−22.3622	−	38.7324i	−0.772028	−	1.33719i	0.164422	−	0.986390i	$-0.447424\pi$
$840$	59.7194	+	50.9883i	2.06051	+	1.75926i
$841$	8.03413	+	13.9155i	0.277039	+	0.479845i
$842$	−7.07266	−	4.08340i	−0.243740	−	0.140723i
$843$		−	36.5758i		−	1.25974i
$844$	−55.8770			−1.92337
$845$	1.63528	−	1.91530i	0.0562554	−	0.0658883i
$846$	3.47372	−	6.01665i	0.119429	−	0.206857i
$847$		−	27.7784i		−	0.954478i
$848$		−	10.9921i		−	0.377471i
$849$	11.4605	−	19.8502i	0.393324	−	0.681257i
$850$	1.28192	+	8.07666i	0.0439694	+	0.277027i
$851$	−0.734898	+	1.27288i	−0.0251920	+	0.0436338i
$852$	38.0152	−	21.9481i	1.30238	−	0.751929i
$853$	14.0818	−	8.13013i	0.482152	−	0.278370i	−0.239161	−	0.970980i	$-0.576872\pi$
$853$	14.0818	−	8.13013i	0.482152	−	0.278370i	0.721313	+	0.692610i	$0.243539\pi$
$854$	−78.1900			−2.67561
$855$	−4.21222	−	3.51911i	−0.144055	−	0.120351i
$856$	−6.50273			−0.222259
$857$	−14.4089	+	8.31896i	−0.492197	+	0.284170i	−0.725485	−	0.688237i	$-0.758385\pi$
$857$	−14.4089	+	8.31896i	−0.492197	+	0.284170i	0.233288	+	0.972408i	$0.425051\pi$
$858$	27.4403	−	15.8426i	0.936795	−	0.540859i
$859$	20.1362	−	34.8769i	0.687038	−	1.18999i	−0.285753	−	0.958303i	$-0.592244\pi$
$859$	20.1362	−	34.8769i	0.687038	−	1.18999i	0.972792	−	0.231682i	$-0.0744229\pi$
$860$	3.57467	−	1.26651i	0.121895	−	0.0431878i
$861$	−0.254637	+	0.441044i	−0.00867799	+	0.0150307i
$862$			0.118897i			0.00404965i
$863$			32.9634i			1.12209i	0.827786	+	0.561044i	$0.189600\pi$
$863$			32.9634i			1.12209i	−0.827786	+	0.561044i	$0.810400\pi$
$864$	−0.907306	+	1.57150i	−0.0308672	+	0.0534635i
$865$	−18.1798	−	15.5219i	−0.618131	−	0.527759i
$866$	23.5027			0.798655
$867$		−	25.8456i		−	0.877762i
$868$	107.538	+	62.0873i	3.65009	+	2.10738i
$869$	12.4633	+	21.5870i	0.422787	+	0.732288i
$870$	20.0196	−	23.4476i	0.678727	−	0.794950i
$871$	10.7618	+	18.6400i	0.364651	+	0.631594i
$872$	−52.0343	+	30.0420i	−1.76210	+	1.01735i
$873$			2.47014i			0.0836016i
$874$	4.55267	+	2.56389i	0.153996	+	0.0867248i
$875$	−26.2975	+	42.9608i	−0.889018	+	1.45234i
$876$	9.31004	+	16.1255i	0.314557	+	0.544829i
$877$	0.184636	−	0.106600i	0.00623472	−	0.00359962i	−0.496879	−	0.867820i	$-0.665521\pi$
$877$	0.184636	−	0.106600i	0.00623472	−	0.00359962i	0.503114	+	0.864220i	$0.332188\pi$
$878$	−47.3319	−	27.3271i	−1.59737	−	0.922244i
$879$	14.1942	+	24.5851i	0.478759	+	0.829236i
$880$	−13.4037	+	15.6989i	−0.451839	+	0.529210i
$881$	51.8661			1.74741			0.873707	−	0.486453i	$-0.161710\pi$
$881$	51.8661			1.74741			0.873707	+	0.486453i	$0.161710\pi$
$882$		−	18.3929i		−	0.619321i
$883$	36.0657	+	20.8225i	1.21371	+	0.700734i	0.963565	−	0.267475i	$-0.0861892\pi$
$883$	36.0657	+	20.8225i	1.21371	+	0.700734i	0.250142	+	0.968209i	$0.419523\pi$
$884$	−5.04667	+	8.74109i	−0.169738	+	0.293995i
$885$	−7.96707	+	43.0256i	−0.267810	+	1.44629i
$886$	−49.4083			−1.65990
$887$	−3.54486	−	2.04663i	−0.119025	−	0.0687190i	0.439306	−	0.898338i	$-0.355225\pi$
$887$	−3.54486	−	2.04663i	−0.119025	−	0.0687190i	−0.558330	+	0.829619i	$0.688558\pi$
$888$	20.3305	−	11.7378i	0.682246	−	0.393895i
$889$	−8.86718	+	15.3584i	−0.297396	+	0.515104i
$890$	6.92139	−	2.45226i	0.232006	−	0.0822000i
$891$	7.68823	+	13.3164i	0.257565	+	0.446116i
$892$		−	87.4987i		−	2.92967i
$893$	11.1493	+	18.8423i	0.373097	+	0.630533i
$894$	68.8859			2.30389
$895$	5.74214	+	16.2069i	0.191939	+	0.541737i
$896$	43.4984	+	75.3414i	1.45318	+	2.51698i
$897$	−2.47972	−	1.43167i	−0.0827955	−	0.0478020i
$898$	26.5834	−	15.3479i	0.887099	−	0.512167i
$899$	12.2882	−	21.2838i	0.409835	−	0.709855i
$900$	−10.6026	−	4.06600i	−0.353421	−	0.135533i
$901$	1.74328			0.0580772
$902$	−0.338668	−	0.195530i	−0.0112764	−	0.00651043i
$903$	2.56139	+	1.47882i	0.0852377	+	0.0492120i
$904$	−38.6794			−1.28646
$905$	−13.4698	−	2.49421i	−0.447751	−	0.0829102i
$906$	24.4133	−	42.2851i	0.811078	−	1.40483i
$907$	7.28090	−	4.20363i	0.241758	−	0.139579i	−0.374226	−	0.927337i	$-0.622092\pi$
$907$	7.28090	−	4.20363i	0.241758	−	0.139579i	0.615985	+	0.787758i	$0.288758\pi$
$908$	−28.6265	−	16.5275i	−0.950005	−	0.548486i
$909$	2.97580	+	5.15423i	0.0987009	+	0.170955i
$910$	−87.6609	+	31.0584i	−2.90593	+	1.02958i
$911$	8.87918			0.294180			0.147090	−	0.989123i	$-0.453009\pi$
$911$	8.87918			0.294180			0.147090	+	0.989123i	$0.453009\pi$
$912$	−14.5490	−	24.5877i	−0.481764	−	0.814181i
$913$			34.5192i			1.14242i
$914$	34.7772	+	60.2359i	1.15033	+	1.99243i
$915$	−23.2481	+	8.23685i	−0.768558	+	0.272302i
$916$	33.5983	−	58.1939i	1.11012	−	1.92278i
$917$	−63.6948	+	36.7742i	−2.10339	+	1.21439i
$918$	−7.87849	−	4.54865i	−0.260029	−	0.150128i
$919$	45.9834			1.51685			0.758427	−	0.651758i	$-0.225968\pi$
$919$	45.9834			1.51685			0.758427	+	0.651758i	$0.225968\pi$
$920$	5.35790	+	0.992125i	0.176645	+	0.0327094i
$921$	22.9319	−	39.7191i	0.755630	−	1.30879i
$922$	−11.3153	−	6.53290i	−0.372650	−	0.215150i
$923$			26.2062i			0.862587i
$924$	−62.3623			−2.05157
$925$	9.48048	+	11.6996i	0.311716	+	0.384681i
$926$	−22.0231	−	38.1452i	−0.723725	−	1.25353i
$927$	2.80724	+	1.62076i	0.0922017	+	0.0532327i
$928$	−1.01600	+	0.586589i	−0.0333519	+	0.0192557i
$929$	−11.0889	−	19.2065i	−0.363814	−	0.630145i	0.624771	−	0.780808i	$-0.285192\pi$
$929$	−11.0889	−	19.2065i	−0.363814	−	0.630145i	−0.988585	+	0.150663i	$0.951859\pi$
$930$	57.6148	+	10.6686i	1.88926	+	0.349836i
$931$	50.5044	+	28.4421i	1.65521	+	0.932152i
$932$		−	49.2564i		−	1.61345i
$933$	0.261231	−	0.150822i	0.00855233	−	0.00493769i
$934$	−35.3436	−	61.2170i	−1.15648	−	2.00308i
$935$	−2.48975	−	2.12574i	−0.0814234	−	0.0695192i
$936$	−5.28430	−	9.15267i	−0.172723	−	0.299165i
$937$	−29.7284	−	17.1637i	−0.971186	−	0.560714i	−0.0715882	−	0.997434i	$-0.522807\pi$
$937$	−29.7284	−	17.1637i	−0.971186	−	0.560714i	−0.899598	+	0.436720i	$0.856140\pi$
$938$		−	63.3706i		−	2.06912i
$939$	−33.2120			−1.08383
$940$	34.4474	+	29.4111i	1.12355	+	0.959286i
$941$	−16.8606	+	29.2035i	−0.549641	+	0.952006i	0.448658	+	0.893704i	$0.351902\pi$
$941$	−16.8606	+	29.2035i	−0.549641	+	0.952006i	−0.998299	+	0.0583025i	$0.981431\pi$
$942$		−	76.8923i		−	2.50529i
$943$			0.0353393i			0.00115080i
$944$	26.3167	−	45.5818i	0.856535	−	1.48356i
$945$	−18.7133	−	52.8173i	−0.608743	−	1.71815i
$946$	−1.13555	+	1.96683i	−0.0369200	+	0.0639473i
$947$	−19.1794	+	11.0732i	−0.623248	+	0.359832i	−0.778132	−	0.628100i	$-0.783833\pi$
$947$	−19.1794	+	11.0732i	−0.623248	+	0.359832i	0.154885	+	0.987933i	$0.450499\pi$
$948$	−61.8108	+	35.6865i	−2.00752	+	1.15904i
$949$	−11.1163			−0.360849
$950$	41.2277	−	34.1456i	1.33760	−	1.10783i
$951$	−29.9254			−0.970398
$952$	12.9730	−	7.48995i	0.420457	−	0.242751i
$953$	32.2999	−	18.6484i	1.04630	−	0.604079i	0.124686	−	0.992196i	$-0.460208\pi$
$953$	32.2999	−	18.6484i	1.04630	−	0.604079i	0.921610	+	0.388117i	$0.126874\pi$
$954$	−1.81058	+	3.13602i	−0.0586198	+	0.101532i
$955$	−4.37240	−	12.3409i	−0.141488	−	0.399342i
$956$	−4.11254	+	7.12313i	−0.133009	+	0.230378i
$957$			12.3426i			0.398981i
$958$			19.7761i			0.638936i
$959$	−37.0121	+	64.1069i	−1.19518	+	2.07012i
$960$	20.1649	+	17.2167i	0.650819	+	0.555668i
$961$	15.7069			0.506674
$962$			27.8030i			0.896405i
$963$	0.635118	+	0.366686i	0.0204664	+	0.0118163i
$964$	35.3359	+	61.2036i	1.13809	+	1.97123i
$965$	4.40644	+	3.76221i	0.141848	+	0.121110i
$966$	4.21516	+	7.30087i	0.135621	+	0.234902i
$967$	−16.1718	+	9.33679i	−0.520050	+	0.300251i	−0.736955	−	0.675942i	$-0.763737\pi$
$967$	−16.1718	+	9.33679i	−0.520050	+	0.300251i	0.216905	+	0.976193i	$0.430404\pi$
$968$			30.7875i			0.989547i
$969$	3.89946	−	2.30738i	0.125269	−	0.0741236i
$970$	−23.6883	−	4.38638i	−0.760587	−	0.140838i
$971$	−14.2903	−	24.7515i	−0.458598	−	0.794314i	0.540290	−	0.841479i	$-0.318315\pi$
$971$	−14.2903	−	24.7515i	−0.458598	−	0.794314i	−0.998887	+	0.0471649i	$0.984981\pi$
$972$	20.1509	−	11.6341i	0.646341	−	0.373165i
$973$	−10.4116	−	6.01113i	−0.333780	−	0.192708i
$974$	−1.34798	−	2.33477i	−0.0431921	−	0.0748109i
$975$	−22.7922	+	18.4691i	−0.729936	+	0.591485i
$976$	29.6674			0.949630
$977$			58.1909i			1.86169i	0.365411	+	0.930846i	$0.380928\pi$
$977$			58.1909i			1.86169i	−0.365411	+	0.930846i	$0.619072\pi$
$978$	−47.2618	−	27.2866i	−1.51127	−	0.872530i
$979$	−1.46980	+	2.54576i	−0.0469749	+	0.0813628i
$980$	117.911	+	21.8337i	3.76654	+	0.697451i
$981$	6.77622			0.216348
$982$	−27.8768	−	16.0947i	−0.889586	−	0.513602i
$983$	−41.6320	+	24.0363i	−1.32786	+	0.766638i	−0.984968	−	0.172738i	$-0.944738\pi$
$983$	−41.6320	+	24.0363i	−1.32786	+	0.766638i	−0.342888	+	0.939376i	$0.611405\pi$
$984$	0.282220	−	0.488819i	0.00899684	−	0.0155830i
$985$	−41.8647	+	14.8327i	−1.33392	+	0.472610i
$986$	−2.94078	−	5.09359i	−0.0936536	−	0.162213i
$987$			35.3249i			1.12440i
$988$	66.0674	−	0.707444i	2.10188	−	0.0225068i
$989$	0.205235			0.00652609
$990$	6.40989	−	2.27104i	0.203720	−	0.0721784i
$991$	−19.1976	−	33.2512i	−0.609832	−	1.05626i	−0.991268	−	0.131865i	$-0.957904\pi$
$991$	−19.1976	−	33.2512i	−0.609832	−	1.05626i	0.381436	−	0.924395i	$-0.375430\pi$
$992$	−1.93089	−	1.11480i	−0.0613057	−	0.0353949i
$993$	27.8587	−	16.0842i	0.884069	−	0.510417i
$994$	38.5785	−	66.8200i	1.22364	−	2.11940i
$995$	28.0593	+	5.19576i	0.889540	+	0.164717i
$996$	−98.8399			−3.13186
$997$	−32.7546	−	18.9109i	−1.03735	−	0.598914i	−0.118268	−	0.992982i	$-0.537734\pi$
$997$	−32.7546	−	18.9109i	−1.03735	−	0.598914i	−0.919081	+	0.394068i	$0.871067\pi$
$998$	51.3504	+	29.6472i	1.62547	+	0.938465i
$999$	−16.7518			−0.530004

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.i.b.64.6	yes	12
3.2	odd	2		855.2.be.d.64.1		12
5.2	odd	4		475.2.e.g.26.6		12
5.3	odd	4		475.2.e.g.26.1		12
5.4	even	2	inner	95.2.i.b.64.1	yes	12
15.14	odd	2		855.2.be.d.64.6		12
19.7	even	3		1805.2.b.f.1084.6		6
19.11	even	3	inner	95.2.i.b.49.1	✓	12
19.12	odd	6		1805.2.b.g.1084.1		6
57.11	odd	6		855.2.be.d.334.6		12
95.7	odd	12		9025.2.a.bu.1.1		6
95.12	even	12		9025.2.a.bt.1.6		6
95.49	even	6	inner	95.2.i.b.49.6	yes	12
95.64	even	6		1805.2.b.f.1084.1		6
95.68	odd	12		475.2.e.g.201.1		12
95.69	odd	6		1805.2.b.g.1084.6		6
95.83	odd	12		9025.2.a.bu.1.6		6
95.87	odd	12		475.2.e.g.201.6		12
95.88	even	12		9025.2.a.bt.1.1		6
285.239	odd	6		855.2.be.d.334.1		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.i.b.49.1	✓	12	19.11	even	3	inner
95.2.i.b.49.6	yes	12	95.49	even	6	inner
95.2.i.b.64.1	yes	12	5.4	even	2	inner
95.2.i.b.64.6	yes	12	1.1	even	1	trivial
475.2.e.g.26.1		12	5.3	odd	4
475.2.e.g.26.6		12	5.2	odd	4
475.2.e.g.201.1		12	95.68	odd	12
475.2.e.g.201.6		12	95.87	odd	12
855.2.be.d.64.1		12	3.2	odd	2
855.2.be.d.64.6		12	15.14	odd	2
855.2.be.d.334.1		12	285.239	odd	6
855.2.be.d.334.6		12	57.11	odd	6
1805.2.b.f.1084.1		6	95.64	even	6
1805.2.b.f.1084.6		6	19.7	even	3
1805.2.b.g.1084.1		6	19.12	odd	6
1805.2.b.g.1084.6		6	95.69	odd	6
9025.2.a.bt.1.1		6	95.88	even	12
9025.2.a.bt.1.6		6	95.12	even	12
9025.2.a.bu.1.1		6	95.7	odd	12
9025.2.a.bu.1.6		6	95.83	odd	12

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(2.12713 - 1.22810i) q^{2} +(-1.35190 + 0.780522i) q^{3} +(2.01647 - 3.49262i) q^{4} +(-0.746759 - 2.10769i) q^{5} +(-1.91712 + 3.32055i) q^{6} +4.50527i q^{7} -4.99330i q^{8} +(-0.281570 + 0.487693i) q^{9} +O(q^{10})\)	\(q+(2.12713 - 1.22810i) q^{2} +(-1.35190 + 0.780522i) q^{3} +(2.01647 - 3.49262i) q^{4} +(-0.746759 - 2.10769i) q^{5} +(-1.91712 + 3.32055i) q^{6} +4.50527i q^{7} -4.99330i q^{8} +(-0.281570 + 0.487693i) q^{9} +(-4.17691 - 3.56624i) q^{10} +2.19869 q^{11} +6.29559i q^{12} +(-3.25495 - 1.87925i) q^{13} +(5.53293 + 9.58332i) q^{14} +(2.65464 + 2.26653i) q^{15} +(-2.09935 - 3.63617i) q^{16} +(0.576674 - 0.332943i) q^{17} +1.38318i q^{18} +(-3.79804 - 2.13891i) q^{19} +(-8.86718 - 1.64194i) q^{20} +(-3.51647 - 6.09070i) q^{21} +(4.67691 - 2.70022i) q^{22} +(-0.422643 - 0.244013i) q^{23} +(3.89738 + 6.75046i) q^{24} +(-3.88470 + 3.14787i) q^{25} -9.23163 q^{26} -5.56222i q^{27} +(15.7352 + 9.08474i) q^{28} +(1.79804 - 3.11429i) q^{29} +(8.43032 + 1.56104i) q^{30} +6.83424 q^{31} +(-0.282531 - 0.163119i) q^{32} +(-2.97242 + 1.71613i) q^{33} +(0.817776 - 1.41643i) q^{34} +(9.49572 - 3.36435i) q^{35} +(1.13555 + 1.96683i) q^{36} -3.01171i q^{37} +(-10.7057 + 0.114636i) q^{38} +5.86718 q^{39} +(-10.5243 + 3.72879i) q^{40} +(-0.0362063 - 0.0627112i) q^{41} +(-14.9600 - 8.63716i) q^{42} +(-0.364199 + 0.210271i) q^{43} +(4.43359 - 7.67920i) q^{44} +(1.23817 + 0.229272i) q^{45} -1.19869 q^{46} +(-4.34986 - 2.51139i) q^{47} +(5.67623 + 3.27717i) q^{48} -13.2975 q^{49} +(-4.39738 + 11.4668i) q^{50} +(-0.519739 + 0.900215i) q^{51} +(-13.1270 + 7.57888i) q^{52} +(2.26725 + 1.30900i) q^{53} +(-6.83097 - 11.8316i) q^{54} +(-1.64189 - 4.63416i) q^{55} +22.4962 q^{56} +(6.80405 - 0.0728572i) q^{57} -8.83269i q^{58} +(6.26783 + 10.8562i) q^{59} +(13.2691 - 4.70129i) q^{60} +(-3.53293 + 6.11922i) q^{61} +(14.5374 - 8.39315i) q^{62} +(-2.19719 - 1.26855i) q^{63} +7.59607 q^{64} +(-1.53020 + 8.26377i) q^{65} +(-4.21516 + 7.30087i) q^{66} +(-4.95944 - 2.86334i) q^{67} -2.68548i q^{68} +0.761831 q^{69} +(16.0669 - 18.8181i) q^{70} +(-3.48626 - 6.03838i) q^{71} +(2.43520 + 1.40596i) q^{72} +(2.56139 - 1.47882i) q^{73} +(-3.69869 - 6.40632i) q^{74} +(2.79476 - 7.28772i) q^{75} +(-15.1290 + 8.95208i) q^{76} +9.90571i q^{77} +(12.4803 - 7.20549i) q^{78} +(5.66849 + 9.81811i) q^{79} +(-6.09622 + 7.14011i) q^{80} +(3.49673 + 6.05651i) q^{81} +(-0.154031 - 0.0889301i) q^{82} +15.6999i q^{83} -28.3634 q^{84} +(-1.13238 - 0.966822i) q^{85} +(-0.516467 + 0.894547i) q^{86} +5.61363i q^{87} -10.9787i q^{88} +(-0.668486 + 1.15785i) q^{89} +(2.91532 - 1.03290i) q^{90} +(8.46652 - 14.6644i) q^{91} +(-1.70449 + 0.984089i) q^{92} +(-9.23924 + 5.33428i) q^{93} -12.3370 q^{94} +(-1.67193 + 9.60233i) q^{95} +0.509273 q^{96} +(3.79871 - 2.19319i) q^{97} +(-28.2856 + 16.3307i) q^{98} +(-0.619085 + 1.07229i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9}+O(q^{10}) \) 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9	\( 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9} + 6 q^{10} + 4 q^{11} + 22 q^{14} - 4 q^{15} - 14 q^{16} - 12 q^{19} - 40 q^{20} - 20 q^{21} + 2 q^{24} - 6 q^{25} - 44 q^{26} - 12 q^{29} + 12 q^{30} + 60 q^{31} + 10 q^{34} + 14 q^{36} + 4 q^{39} + 10 q^{40} - 12 q^{41} + 20 q^{44} + 60 q^{45} + 8 q^{46} - 4 q^{49} - 8 q^{50} - 40 q^{51} - 4 q^{54} - 18 q^{55} + 92 q^{56} + 20 q^{59} + 4 q^{60} + 2 q^{61} + 24 q^{64} - 40 q^{65} - 6 q^{66} - 36 q^{69} + 46 q^{70} + 2 q^{71} - 22 q^{74} - 56 q^{75} - 70 q^{76} + 24 q^{79} - 22 q^{80} - 14 q^{81} - 96 q^{84} + 2 q^{85} + 16 q^{86} + 36 q^{89} - 8 q^{90} + 24 q^{91} - 60 q^{94} + 46 q^{95} + 52 q^{96} - 30 q^{99}+O(q^{100}) \) 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9 + 6 * q^10 + 4 * q^11 + 22 * q^14 - 4 * q^15 - 14 * q^16 - 12 * q^19 - 40 * q^20 - 20 * q^21 + 2 * q^24 - 6 * q^25 - 44 * q^26 - 12 * q^29 + 12 * q^30 + 60 * q^31 + 10 * q^34 + 14 * q^36 + 4 * q^39 + 10 * q^40 - 12 * q^41 + 20 * q^44 + 60 * q^45 + 8 * q^46 - 4 * q^49 - 8 * q^50 - 40 * q^51 - 4 * q^54 - 18 * q^55 + 92 * q^56 + 20 * q^59 + 4 * q^60 + 2 * q^61 + 24 * q^64 - 40 * q^65 - 6 * q^66 - 36 * q^69 + 46 * q^70 + 2 * q^71 - 22 * q^74 - 56 * q^75 - 70 * q^76 + 24 * q^79 - 22 * q^80 - 14 * q^81 - 96 * q^84 + 2 * q^85 + 16 * q^86 + 36 * q^89 - 8 * q^90 + 24 * q^91 - 60 * q^94 + 46 * q^95 + 52 * q^96 - 30 * q^99

Introduction

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