LMFDB - Embedded newform 287.2.n.a.64.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(64,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("287.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			64.6
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.460807 - 1.41822i) q^{2} +2.32068i q^{3} +(-0.180963 + 0.131477i) q^{4} +(2.65229 - 1.92700i) q^{5} +(3.29122 - 1.06938i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-2.14296 - 1.55695i) q^{8} -2.38554 q^{9} +O(q^{10})$	\(q+(-0.460807 - 1.41822i) q^{2} +2.32068i q^{3} +(-0.180963 + 0.131477i) q^{4} +(2.65229 - 1.92700i) q^{5} +(3.29122 - 1.06938i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-2.14296 - 1.55695i) q^{8} -2.38554 q^{9} +(-3.95510 - 2.87355i) q^{10} +(-0.448999 + 0.617994i) q^{11} +(-0.305117 - 0.419957i) q^{12} +(6.19293 - 2.01220i) q^{13} +1.49120i q^{14} +(4.47195 + 6.15511i) q^{15} +(-1.35885 + 4.18211i) q^{16} +(-0.961850 + 1.32387i) q^{17} +(1.09927 + 3.38322i) q^{18} +(2.07368 + 0.673778i) q^{19} +(-0.226610 + 0.697433i) q^{20} +(0.717129 - 2.20709i) q^{21} +(1.08335 + 0.352002i) q^{22} +(-1.69901 - 5.22901i) q^{23} +(3.61319 - 4.97312i) q^{24} +(1.77623 - 5.46667i) q^{25} +(-5.70748 - 7.85568i) q^{26} +1.42596i q^{27} +(0.212735 - 0.0691218i) q^{28} +(2.82302 + 3.88555i) q^{29} +(6.66858 - 9.17852i) q^{30} +(-1.31425 - 0.954856i) q^{31} +1.25961 q^{32} +(-1.43417 - 1.04198i) q^{33} +(2.32077 + 0.754063i) q^{34} +(-3.11796 + 1.01309i) q^{35} +(0.431695 - 0.313645i) q^{36} +(1.13053 - 0.821378i) q^{37} -3.25140i q^{38} +(4.66967 + 14.3718i) q^{39} -8.68402 q^{40} +(-2.93120 - 5.69281i) q^{41} -3.46060 q^{42} +(2.38340 + 7.33534i) q^{43} -0.170868i q^{44} +(-6.32715 + 4.59695i) q^{45} +(-6.63296 + 4.81913i) q^{46} +(-10.1437 + 3.29587i) q^{47} +(-9.70533 - 3.15345i) q^{48} +(0.809017 + 0.587785i) q^{49} -8.57142 q^{50} +(-3.07228 - 2.23214i) q^{51} +(-0.856132 + 1.17836i) q^{52} +(-0.482265 - 0.663781i) q^{53} +(2.02232 - 0.657092i) q^{54} +2.50432i q^{55} +(1.55695 + 2.14296i) q^{56} +(-1.56362 + 4.81233i) q^{57} +(4.20969 - 5.79415i) q^{58} +(0.136838 + 0.421144i) q^{59} +(-1.61852 - 0.525888i) q^{60} +(-3.38948 + 10.4318i) q^{61} +(-0.748579 + 2.30389i) q^{62} +(2.26878 + 0.737173i) q^{63} +(2.13726 + 6.57782i) q^{64} +(12.5479 - 17.2707i) q^{65} +(-0.816884 + 2.51411i) q^{66} +(-1.66159 - 2.28699i) q^{67} -0.366034i q^{68} +(12.1348 - 3.94285i) q^{69} +(2.87355 + 3.95510i) q^{70} +(1.48653 - 2.04603i) q^{71} +(5.11213 + 3.71418i) q^{72} -13.0288 q^{73} +(-1.68585 - 1.22484i) q^{74} +(12.6864 + 4.12205i) q^{75} +(-0.463846 + 0.150713i) q^{76} +(0.617994 - 0.448999i) q^{77} +(18.2305 - 13.2452i) q^{78} +15.7433i q^{79} +(4.45487 + 13.7107i) q^{80} -10.4658 q^{81} +(-6.72293 + 6.78036i) q^{82} -6.23825 q^{83} +(0.160409 + 0.493689i) q^{84} +5.36479i q^{85} +(9.30482 - 6.76035i) q^{86} +(-9.01712 + 6.55132i) q^{87} +(1.92438 - 0.625268i) q^{88} +(-0.263226 - 0.0855272i) q^{89} +(9.43506 + 6.85497i) q^{90} -6.51163 q^{91} +(0.994955 + 0.722877i) q^{92} +(2.21591 - 3.04994i) q^{93} +(9.34853 + 12.8672i) q^{94} +(6.79836 - 2.20892i) q^{95} +2.92316i q^{96} +(-10.0334 - 13.8098i) q^{97} +(0.460807 - 1.41822i) q^{98} +(1.07111 - 1.47425i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

Coefficient data

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

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

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

$2$	−0.460807	−	1.41822i	−0.325840	−	1.00283i	−0.971060	−	0.238835i	$-0.923235\pi$
$2$	−0.460807	−	1.41822i	−0.325840	−	1.00283i	0.645221	−	0.763996i	$-0.276765\pi$
$3$			2.32068i			1.33984i	0.742432	+	0.669922i	$0.233672\pi$
$3$			2.32068i			1.33984i	−0.742432	+	0.669922i	$0.766328\pi$
$4$	−0.180963	+	0.131477i	−0.0904816	+	0.0657387i
$5$	2.65229	−	1.92700i	1.18614	−	0.861782i	0.193290	−	0.981142i	$-0.438084\pi$
$5$	2.65229	−	1.92700i	1.18614	−	0.861782i	0.992851	+	0.119360i	$0.0380842\pi$
$6$	3.29122	−	1.06938i	1.34364	−	0.436574i
$7$	−0.951057	−	0.309017i	−0.359466	−	0.116797i
$7$	−0.951057	−	0.309017i	−0.359466	−	0.116797i
$8$	−2.14296	−	1.55695i	−0.757652	−	0.550466i
$9$	−2.38554			−0.795180
$10$	−3.95510	−	2.87355i	−1.25071	−	0.908696i
$11$	−0.448999	+	0.617994i	−0.135378	+	0.186332i	−0.871324	−	0.490709i	$-0.836738\pi$
$11$	−0.448999	+	0.617994i	−0.135378	+	0.186332i	0.735945	+	0.677041i	$0.236738\pi$
$12$	−0.305117	−	0.419957i	−0.0880796	−	0.121231i
$13$	6.19293	−	2.01220i	1.71761	−	0.558085i	0.726038	−	0.687654i	$-0.241360\pi$
$13$	6.19293	−	2.01220i	1.71761	−	0.558085i	0.991570	+	0.129570i	$0.0413595\pi$
$14$			1.49120i			0.398540i
$15$	4.47195	+	6.15511i	1.15465	+	1.58924i
$16$	−1.35885	+	4.18211i	−0.339713	+	1.04553i
$17$	−0.961850	+	1.32387i	−0.233283	+	0.321086i	−0.909569	−	0.415552i	$-0.863588\pi$
$17$	−0.961850	+	1.32387i	−0.233283	+	0.321086i	0.676286	+	0.736639i	$0.263588\pi$
$18$	1.09927	+	3.38322i	0.259101	+	0.797432i
$19$	2.07368	+	0.673778i	0.475734	+	0.154575i	0.537063	−	0.843542i	$-0.319534\pi$
$19$	2.07368	+	0.673778i	0.475734	+	0.154575i	−0.0613289	+	0.998118i	$0.519534\pi$
$20$	−0.226610	+	0.697433i	−0.0506715	+	0.155951i
$21$	0.717129	−	2.20709i	0.156490	−	0.481628i
$22$	1.08335	+	0.352002i	0.230971	+	0.0750472i
$23$	−1.69901	−	5.22901i	−0.354268	−	1.09032i	−0.956433	−	0.291953i	$-0.905695\pi$
$23$	−1.69901	−	5.22901i	−0.354268	−	1.09032i	0.602165	−	0.798372i	$-0.294305\pi$
$24$	3.61319	−	4.97312i	0.737538	−	1.01513i
$25$	1.77623	−	5.46667i	0.355246	−	1.09333i
$26$	−5.70748	−	7.85568i	−1.11933	−	1.54062i
$27$			1.42596i			0.274426i
$28$	0.212735	−	0.0691218i	0.0402031	−	0.0130628i
$29$	2.82302	+	3.88555i	0.524222	+	0.721529i	0.986236	−	0.165343i	$-0.0528731\pi$
$29$	2.82302	+	3.88555i	0.524222	+	0.721529i	−0.462014	+	0.886872i	$0.652873\pi$
$30$	6.66858	−	9.17852i	1.21751	−	1.67576i
$31$	−1.31425	−	0.954856i	−0.236046	−	0.171497i	0.463474	−	0.886110i	$-0.346603\pi$
$31$	−1.31425	−	0.954856i	−0.236046	−	0.171497i	−0.699520	+	0.714613i	$0.746603\pi$
$32$	1.25961			0.222670
$33$	−1.43417	−	1.04198i	−0.249656	−	0.181386i
$34$	2.32077	+	0.754063i	0.398008	+	0.129321i
$35$	−3.11796	+	1.01309i	−0.527031	+	0.171243i
$36$	0.431695	−	0.313645i	0.0719492	−	0.0522742i
$37$	1.13053	−	0.821378i	0.185858	−	0.135034i	−0.490966	−	0.871179i	$-0.663356\pi$
$37$	1.13053	−	0.821378i	0.185858	−	0.135034i	0.676824	+	0.736145i	$0.263356\pi$
$38$		−	3.25140i		−	0.527447i
$39$	4.66967	+	14.3718i	0.747746	+	2.30133i
$40$	−8.68402			−1.37306
$41$	−2.93120	−	5.69281i	−0.457776	−	0.889068i
$41$	−2.93120	−	5.69281i	−0.457776	−	0.889068i
$42$	−3.46060			−0.533982
$43$	2.38340	+	7.33534i	0.363465	+	1.11863i	0.950937	+	0.309385i	$0.100123\pi$
$43$	2.38340	+	7.33534i	0.363465	+	1.11863i	−0.587472	+	0.809244i	$0.699877\pi$
$44$		−	0.170868i		−	0.0257593i
$45$	−6.32715	+	4.59695i	−0.943196	+	0.685272i
$46$	−6.63296	+	4.81913i	−0.977977	+	0.710542i
$47$	−10.1437	+	3.29587i	−1.47960	+	0.480753i	−0.933995	−	0.357287i	$-0.883702\pi$
$47$	−10.1437	+	3.29587i	−1.47960	+	0.480753i	−0.545610	+	0.838039i	$0.683702\pi$
$48$	−9.70533	−	3.15345i	−1.40084	−	0.455162i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	−8.57142			−1.21218
$51$	−3.07228	−	2.23214i	−0.430206	−	0.312563i
$52$	−0.856132	+	1.17836i	−0.118724	+	0.163410i
$53$	−0.482265	−	0.663781i	−0.0662442	−	0.0911773i	0.774609	−	0.632440i	$-0.217946\pi$
$53$	−0.482265	−	0.663781i	−0.0662442	−	0.0911773i	−0.840854	+	0.541263i	$0.817946\pi$
$54$	2.02232	−	0.657092i	0.275203	−	0.0894189i
$55$			2.50432i			0.337683i
$56$	1.55695	+	2.14296i	0.208057	+	0.286365i
$57$	−1.56362	+	4.81233i	−0.207107	+	0.637409i
$58$	4.20969	−	5.79415i	0.552760	−	0.760809i
$59$	0.136838	+	0.421144i	0.0178148	+	0.0548283i	0.959569	−	0.281474i	$-0.0908235\pi$
$59$	0.136838	+	0.421144i	0.0178148	+	0.0548283i	−0.941754	+	0.336303i	$0.890823\pi$
$60$	−1.61852	−	0.525888i	−0.208950	−	0.0678919i
$61$	−3.38948	+	10.4318i	−0.433979	+	1.33565i	0.460150	+	0.887841i	$0.347796\pi$
$61$	−3.38948	+	10.4318i	−0.433979	+	1.33565i	−0.894129	+	0.447809i	$0.852204\pi$
$62$	−0.748579	+	2.30389i	−0.0950697	+	0.292594i
$63$	2.26878	+	0.737173i	0.285840	+	0.0928750i
$64$	2.13726	+	6.57782i	0.267158	+	0.822227i
$65$	12.5479	−	17.2707i	1.55638	−	2.14217i
$66$	−0.816884	+	2.51411i	−0.100551	+	0.309466i
$67$	−1.66159	−	2.28699i	−0.202996	−	0.279400i	0.695366	−	0.718656i	$-0.255242\pi$
$67$	−1.66159	−	2.28699i	−0.202996	−	0.279400i	−0.898362	+	0.439256i	$0.855242\pi$
$68$		−	0.366034i		−	0.0443881i
$69$	12.1348	−	3.94285i	1.46086	−	0.474663i
$70$	2.87355	+	3.95510i	0.343455	+	0.472725i
$71$	1.48653	−	2.04603i	0.176418	−	0.242819i	−0.711646	−	0.702538i	$-0.752050\pi$
$71$	1.48653	−	2.04603i	0.176418	−	0.242819i	0.888064	+	0.459719i	$0.152050\pi$
$72$	5.11213	+	3.71418i	0.602470	+	0.437720i
$73$	−13.0288			−1.52491			−0.762453	−	0.647043i	$-0.776005\pi$
$73$	−13.0288			−1.52491			−0.762453	+	0.647043i	$0.776005\pi$
$74$	−1.68585	−	1.22484i	−0.195976	−	0.142385i
$75$	12.6864	+	4.12205i	1.46490	+	0.475973i
$76$	−0.463846	+	0.150713i	−0.0532067	+	0.0172879i
$77$	0.617994	−	0.448999i	0.0704270	−	0.0511682i
$78$	18.2305	−	13.2452i	2.06420	−	1.49973i
$79$			15.7433i			1.77126i	0.464387	+	0.885632i	$0.346275\pi$
$79$			15.7433i			1.77126i	−0.464387	+	0.885632i	$0.653725\pi$
$80$	4.45487	+	13.7107i	0.498070	+	1.53290i
$81$	−10.4658			−1.16287
$82$	−6.72293	+	6.78036i	−0.742423	+	0.748765i
$83$	−6.23825			−0.684737			−0.342369	−	0.939566i	$-0.611229\pi$
$83$	−6.23825			−0.684737			−0.342369	+	0.939566i	$0.611229\pi$
$84$	0.160409	+	0.493689i	0.0175021	+	0.0538659i
$85$			5.36479i			0.581893i
$86$	9.30482	−	6.76035i	1.00336	−	0.728987i
$87$	−9.01712	+	6.55132i	−0.966736	+	0.702375i
$88$	1.92438	−	0.625268i	0.205139	−	0.0666538i
$89$	−0.263226	−	0.0855272i	−0.0279018	−	0.00906586i	0.295033	−	0.955487i	$-0.404669\pi$
$89$	−0.263226	−	0.0855272i	−0.0279018	−	0.00906586i	−0.322935	+	0.946421i	$0.604669\pi$
$90$	9.43506	+	6.85497i	0.994543	+	0.722578i
$91$	−6.51163			−0.682604
$92$	0.994955	+	0.722877i	0.103731	+	0.0753652i
$93$	2.21591	−	3.04994i	0.229779	−	0.316264i
$94$	9.34853	+	12.8672i	0.964227	+	1.32715i
$95$	6.79836	−	2.20892i	0.697498	−	0.226631i
$96$			2.92316i			0.298343i
$97$	−10.0334	−	13.8098i	−1.01874	−	1.40217i	−0.913086	−	0.407768i	$-0.866307\pi$
$97$	−10.0334	−	13.8098i	−1.01874	−	1.40217i	−0.105651	−	0.994403i	$-0.533693\pi$
$98$	0.460807	−	1.41822i	0.0465485	−	0.143262i
$99$	1.07111	−	1.47425i	0.107650	−	0.148168i
$100$	0.397312	+	1.22280i	0.0397312	+	0.122280i
$101$	8.82069	+	2.86602i	0.877692	+	0.285179i	0.712998	−	0.701166i	$-0.247337\pi$
$101$	8.82069	+	2.86602i	0.877692	+	0.285179i	0.164693	+	0.986345i	$0.447337\pi$
$102$	−1.74994	+	5.38575i	−0.173270	+	0.533269i
$103$	4.53258	−	13.9499i	0.446609	−	1.37452i	−0.434101	−	0.900864i	$-0.642934\pi$
$103$	4.53258	−	13.9499i	0.446609	−	1.37452i	0.880710	−	0.473656i	$-0.157066\pi$
$104$	−16.4041	−	5.33002i	−1.60856	−	0.522651i
$105$	−2.35104	−	7.23577i	−0.229438	−	0.706139i
$106$	−0.719155	+	0.989831i	−0.0698505	+	0.0961409i
$107$	−2.74910	+	8.46087i	−0.265766	+	0.817943i	0.725750	+	0.687958i	$0.241493\pi$
$107$	−2.74910	+	8.46087i	−0.265766	+	0.817943i	−0.991516	+	0.129985i	$0.958507\pi$
$108$	−0.187482	−	0.258046i	−0.0180404	−	0.0248305i
$109$			11.0603i			1.05939i	0.848189	+	0.529694i	$0.177693\pi$
$109$			11.0603i			1.05939i	−0.848189	+	0.529694i	$0.822307\pi$
$110$	3.55168	−	1.15401i	0.338639	−	0.110031i
$111$	1.90615	+	2.62359i	0.180924	+	0.249020i
$112$	2.58469	−	3.55752i	0.244230	−	0.336154i
$113$	−3.77894	−	2.74556i	−0.355492	−	0.258280i	0.395677	−	0.918390i	$-0.370510\pi$
$113$	−3.77894	−	2.74556i	−0.355492	−	0.258280i	−0.751170	+	0.660109i	$0.770510\pi$
$114$	7.54546			0.706697
$115$	−14.5826	−	10.5949i	−1.35983	−	0.987977i
$116$	−1.02173	−	0.331979i	−0.0948649	−	0.0308235i
$117$	−14.7735	+	4.80019i	−1.36581	+	0.443778i
$118$	0.534218	−	0.388132i	0.0491788	−	0.0357305i
$119$	1.32387	−	0.961850i	0.121359	−	0.0881727i
$120$		−	20.1528i		−	1.83969i
$121$	3.21887	+	9.90666i	0.292625	+	0.900606i
$122$	16.3564			1.48084
$123$	13.2112	−	6.80236i	1.19121	−	0.613348i
$124$	0.363372			0.0326318
$125$	−0.757782	−	2.33221i	−0.0677781	−	0.208600i
$126$		−	3.55732i		−	0.316912i
$127$	−12.5851	+	9.14363i	−1.11675	+	0.811366i	−0.983713	−	0.179745i	$-0.942473\pi$
$127$	−12.5851	+	9.14363i	−1.11675	+	0.811366i	−0.133036	+	0.991111i	$0.542473\pi$
$128$	10.3820	−	7.54297i	0.917648	−	0.666710i
$129$	−17.0230	+	5.53109i	−1.49879	+	0.486986i
$130$	−30.2758	−	9.83721i	−2.65537	−	0.862781i
$131$	5.57080	+	4.04742i	0.486723	+	0.353625i	0.803923	−	0.594734i	$-0.202743\pi$
$131$	5.57080	+	4.04742i	0.486723	+	0.353625i	−0.317200	+	0.948359i	$0.602743\pi$
$132$	0.396528			0.0345134
$133$	−1.76397	−	1.28160i	−0.152956	−	0.111129i
$134$	−2.47777	+	3.41036i	−0.214047	+	0.294610i
$135$	2.74783	+	3.78206i	0.236496	+	0.325508i
$136$	4.12242	−	1.33946i	0.353494	−	0.114857i
$137$		−	21.4053i		−	1.82878i	−0.404835	−	0.914390i	$-0.632671\pi$
$137$		−	21.4053i		−	1.82878i	0.404835	−	0.914390i	$-0.367329\pi$
$138$	−11.1836	−	15.3930i	−0.952015	−	1.31034i
$139$	4.47148	−	13.7618i	0.379266	−	1.16726i	−0.561290	−	0.827619i	$-0.689695\pi$
$139$	4.47148	−	13.7618i	0.379266	−	1.16726i	0.940555	−	0.339640i	$-0.110305\pi$
$140$	0.431037	−	0.593272i	0.0364293	−	0.0501407i
$141$	−7.64866	−	23.5402i	−0.644133	−	1.98244i
$142$	−3.58671	−	1.16539i	−0.300990	−	0.0977976i
$143$	−1.53709	+	4.73067i	−0.128538	+	0.395599i
$144$	3.24159	−	9.97660i	0.270133	−	0.831383i
$145$	14.9750	+	4.86566i	1.24360	+	0.404071i
$146$	6.00376	+	18.4777i	0.496875	+	1.52922i
$147$	−1.36406	+	1.87747i	−0.112506	+	0.154851i
$148$	−0.0965916	+	0.297278i	−0.00793978	+	0.0244361i
$149$	−1.53758	−	2.11630i	−0.125964	−	0.173374i	0.741377	−	0.671088i	$-0.234173\pi$
$149$	−1.53758	−	2.11630i	−0.125964	−	0.173374i	−0.867341	+	0.497714i	$0.834173\pi$
$150$		−	19.8915i		−	1.62413i
$151$	−10.9610	+	3.56145i	−0.891994	+	0.289826i	−0.718929	−	0.695084i	$-0.755367\pi$
$151$	−10.9610	+	3.56145i	−0.891994	+	0.289826i	−0.173065	+	0.984910i	$0.555367\pi$
$152$	−3.39477	−	4.67250i	−0.275352	−	0.378990i
$153$	2.29453	−	3.15815i	0.185502	−	0.255322i
$154$	−0.921555	−	0.669549i	−0.0742610	−	0.0539538i
$155$	−5.32577			−0.427777
$156$	−2.73460	−	1.98681i	−0.218944	−	0.159072i
$157$	21.3869	+	6.94902i	1.70686	+	0.554592i	0.989805	−	0.142427i	$-0.0454905\pi$
$157$	21.3869	+	6.94902i	1.70686	+	0.554592i	0.717053	+	0.697019i	$0.245490\pi$
$158$	22.3275	−	7.25464i	1.77628	−	0.577148i
$159$	1.54042	−	1.11918i	0.122163	−	0.0887569i
$160$	3.34086	−	2.42728i	0.264119	−	0.191893i
$161$			5.49811i			0.433312i
$162$	4.82272	+	14.8428i	0.378909	+	1.16616i
$163$	−0.656938			−0.0514554			−0.0257277	−	0.999669i	$-0.508190\pi$
$163$	−0.656938			−0.0514554			−0.0257277	+	0.999669i	$0.508190\pi$
$164$	1.27891	+	0.644803i	0.0998665	+	0.0503506i
$165$	−5.81173			−0.452442
$166$	2.87463	+	8.84720i	0.223114	+	0.686676i
$167$		−	22.7393i		−	1.75962i	−0.475325	−	0.879810i	$-0.657670\pi$
$167$		−	22.7393i		−	1.75962i	0.475325	−	0.879810i	$-0.342330\pi$
$168$	−4.97312	+	3.61319i	−0.383685	+	0.278763i
$169$	23.7861	−	17.2816i	1.82970	−	1.32936i
$170$	7.60843	−	2.47213i	0.583540	−	0.189604i
$171$	−4.94684	−	1.60733i	−0.378294	−	0.122915i
$172$	−1.39574	−	1.01406i	−0.106424	−	0.0773217i
$173$	13.6001			1.03400			0.516999	−	0.855986i	$-0.327049\pi$
$173$	13.6001			1.03400			0.516999	+	0.855986i	$0.327049\pi$
$174$	13.4463	+	9.76934i	1.01936	+	0.740612i
$175$	−3.37859	+	4.65023i	−0.255397	+	0.351524i
$176$	−1.97440	−	2.71753i	−0.148826	−	0.204841i
$177$	−0.977339	+	0.317557i	−0.0734613	+	0.0238690i
$178$			0.412722i			0.0309349i
$179$	−2.19621	−	3.02282i	−0.164152	−	0.225936i	0.719015	−	0.694995i	$-0.244593\pi$
$179$	−2.19621	−	3.02282i	−0.164152	−	0.225936i	−0.883167	+	0.469058i	$0.844593\pi$
$180$	0.540587	−	1.66376i	0.0402930	−	0.124009i
$181$	−6.34103	+	8.72768i	−0.471325	+	0.648723i	−0.976809	−	0.214113i	$-0.931314\pi$
$181$	−6.34103	+	8.72768i	−0.471325	+	0.648723i	0.505484	+	0.862836i	$0.331314\pi$
$182$	3.00060	+	9.23490i	0.222419	+	0.684536i
$183$	−24.2087	−	7.86590i	−1.78956	−	0.581464i
$184$	−4.50042	+	13.8509i	−0.331775	+	1.02110i
$185$	1.41570	−	4.35707i	0.104084	−	0.320338i
$186$	−5.34659	−	1.73721i	−0.392031	−	0.127378i
$187$	−0.386276	−	1.18884i	−0.0282473	−	0.0869363i
$188$	1.40230	−	1.93009i	0.102273	−	0.140767i
$189$	0.440646	−	1.35617i	0.0320523	−	0.0986468i
$190$	−6.26546	−	8.62367i	−0.454545	−	0.625627i
$191$			8.65779i			0.626456i	0.949678	+	0.313228i	$0.101410\pi$
$191$			8.65779i			0.626456i	−0.949678	+	0.313228i	$0.898590\pi$
$192$	−15.2650	+	4.95989i	−1.10166	+	0.357950i
$193$	11.4841	+	15.8066i	0.826647	+	1.13778i	0.988538	+	0.150973i	$0.0482408\pi$
$193$	11.4841	+	15.8066i	0.826647	+	1.13778i	−0.161891	+	0.986809i	$0.551759\pi$
$194$	−14.9618	+	20.5932i	−1.07420	+	1.47850i
$195$	40.0798	+	29.1197i	2.87017	+	2.08530i
$196$	−0.223683			−0.0159773
$197$	−6.93960	−	5.04191i	−0.494426	−	0.359222i	0.312458	−	0.949932i	$-0.398848\pi$
$197$	−6.93960	−	5.04191i	−0.494426	−	0.359222i	−0.806884	+	0.590710i	$0.798848\pi$
$198$	−2.58438	−	0.839716i	−0.183664	−	0.0596761i
$199$	24.7410	−	8.03883i	1.75384	−	0.569858i	0.757309	−	0.653056i	$-0.226514\pi$
$199$	24.7410	−	8.03883i	1.75384	−	0.569858i	0.996533	+	0.0831985i	$0.0265135\pi$
$200$	−12.3177	+	8.94936i	−0.870996	+	0.632815i
$201$	5.30736	−	3.85602i	0.374352	−	0.271983i
$202$		−	13.8303i		−	0.973099i
$203$	−1.48415	−	4.56774i	−0.104167	−	0.320593i
$204$	0.849447			0.0594732
$205$	−18.7445	−	9.45057i	−1.30917	−	0.660056i
$206$	−21.8726			−1.52393
$207$	4.05306	+	12.4740i	0.281707	+	0.867005i
$208$			28.6338i			1.98540i
$209$	−1.34747	+	0.978994i	−0.0932064	+	0.0677184i
$210$	−9.17852	+	6.66858i	−0.633378	+	0.460176i
$211$	18.0874	−	5.87696i	1.24519	−	0.404587i	0.388995	−	0.921240i	$-0.372822\pi$
$211$	18.0874	−	5.87696i	1.24519	−	0.404587i	0.856195	+	0.516653i	$0.172822\pi$
$212$	0.174544	+	0.0567129i	0.0119878	+	0.00389506i
$213$	4.74817	+	3.44975i	0.325339	+	0.236373i
$214$	13.2662			0.906855
$215$	20.4567	+	14.8627i	1.39513	+	1.01362i
$216$	2.22015	−	3.05578i	0.151062	−	0.207919i
$217$	0.954856	+	1.31425i	0.0648198	+	0.0892168i
$218$	15.6860	−	5.09668i	1.06239	−	0.345191i
$219$		−	30.2357i		−	2.04314i
$220$	−0.329262	−	0.453191i	−0.0221989	−	0.0305541i
$221$	−3.29277	+	10.1341i	−0.221495	+	0.681693i
$222$	2.84246	−	3.91231i	0.190773	−	0.262577i
$223$	1.35586	+	4.17291i	0.0907951	+	0.279439i	0.986135	−	0.165945i	$-0.0530674\pi$
$223$	1.35586	+	4.17291i	0.0907951	+	0.279439i	−0.895340	+	0.445383i	$0.853067\pi$
$224$	−1.19796	−	0.389242i	−0.0800423	−	0.0260073i
$225$	−4.23727	+	13.0410i	−0.282484	+	0.869397i
$226$	−2.15244	+	6.62452i	−0.143178	+	0.440657i
$227$	3.04184	+	0.988354i	0.201894	+	0.0655993i	0.408218	−	0.912884i	$-0.366150\pi$
$227$	3.04184	+	0.988354i	0.201894	+	0.0655993i	−0.206324	+	0.978484i	$0.566150\pi$
$228$	−0.349755	−	1.07644i	−0.0231631	−	0.0712887i
$229$	5.34897	−	7.36222i	0.353470	−	0.486509i	−0.594845	−	0.803840i	$-0.702787\pi$
$229$	5.34897	−	7.36222i	0.353470	−	0.486509i	0.948315	+	0.317331i	$0.102787\pi$
$230$	−8.30607	+	25.5635i	−0.547686	+	1.68561i
$231$	1.04198	+	1.43417i	0.0685574	+	0.0943612i
$232$		−	12.7219i		−	0.835234i
$233$	7.51845	−	2.44289i	0.492550	−	0.160039i	−0.0522019	−	0.998637i	$-0.516624\pi$
$233$	7.51845	−	2.44289i	0.492550	−	0.160039i	0.544752	+	0.838597i	$0.316624\pi$
$234$	13.6154	+	18.7400i	0.890069	+	1.22507i
$235$	−20.5528	+	28.2885i	−1.34072	+	1.84534i
$236$	−0.0801336	−	0.0582205i	−0.00521625	−	0.00378983i
$237$	−36.5352			−2.37322
$238$	−1.97416	−	1.43431i	−0.127966	−	0.0929727i
$239$	3.84298	+	1.24866i	0.248582	+	0.0807690i	0.430658	−	0.902515i	$-0.358282\pi$
$239$	3.84298	+	1.24866i	0.248582	+	0.0807690i	−0.182076	+	0.983284i	$0.558282\pi$
$240$	−31.8181	+	10.3383i	−2.05385	+	0.667336i
$241$	−0.957124	+	0.695391i	−0.0616538	+	0.0447941i	−0.618185	−	0.786032i	$-0.712132\pi$
$241$	−0.957124	+	0.695391i	−0.0616538	+	0.0447941i	0.556532	+	0.830827i	$0.312132\pi$
$242$	12.5665	−	9.13011i	0.807807	−	0.586906i
$243$		−	20.0099i		−	1.28364i
$244$	−0.758169	−	2.33341i	−0.0485368	−	0.149381i
$245$	3.27841			0.209450
$246$	−15.7350	−	15.6017i	−1.00323	−	0.994731i
$247$	14.1979			0.903390
$248$	1.32971	+	4.09244i	0.0844370	+	0.259870i
$249$		−	14.4770i		−	0.917440i
$250$	−2.95840	+	2.14940i	−0.187105	+	0.135940i
$251$	23.2145	−	16.8663i	1.46529	−	1.06459i	0.483338	−	0.875434i	$-0.339424\pi$
$251$	23.2145	−	16.8663i	1.46529	−	1.06459i	0.981947	−	0.189158i	$-0.0605760\pi$
$252$	−0.507488	+	0.164893i	−0.0319687	+	0.0103873i
$253$	3.99435	+	1.29784i	0.251123	+	0.0815948i
$254$	18.7670	+	13.6350i	1.17754	+	0.855536i
$255$	−12.4499			−0.779645
$256$	−4.29082	−	3.11746i	−0.268176	−	0.194841i
$257$	−16.5241	+	22.7435i	−1.03074	+	1.41870i	−0.126357	+	0.991985i	$0.540329\pi$
$257$	−16.5241	+	22.7435i	−1.03074	+	1.41870i	−0.904387	+	0.426713i	$0.859671\pi$
$258$	15.6886	+	21.5935i	0.976729	+	1.34435i
$259$	−1.32902	+	0.431824i	−0.0825811	+	0.0268322i
$260$			4.77514i			0.296141i
$261$	−6.73443	−	9.26915i	−0.416851	−	0.573746i
$262$	3.17306	−	9.76568i	0.196032	−	0.603326i
$263$	−0.723401	+	0.995676i	−0.0446068	+	0.0613960i	−0.830738	−	0.556664i	$-0.812081\pi$
$263$	−0.723401	+	0.995676i	−0.0446068	+	0.0613960i	0.786131	+	0.618060i	$0.212081\pi$
$264$	1.45105	+	4.46586i	0.0893057	+	0.274855i
$265$	−2.55822	−	0.831215i	−0.157150	−	0.0510611i
$266$	−1.00474	+	3.09227i	−0.0616045	+	0.189599i
$267$	0.198481	−	0.610861i	0.0121468	−	0.0373841i
$268$	0.601375	+	0.195398i	0.0367348	+	0.0119359i
$269$	−6.18119	−	19.0237i	−0.376874	−	1.15990i	−0.942206	−	0.335035i	$-0.891252\pi$
$269$	−6.18119	−	19.0237i	−0.376874	−	1.15990i	0.565332	−	0.824863i	$-0.308748\pi$
$270$	4.09757	−	5.63982i	0.249370	−	0.343228i
$271$	8.26396	−	25.4338i	0.502000	−	1.54500i	−0.303757	−	0.952749i	$-0.598241\pi$
$271$	8.26396	−	25.4338i	0.502000	−	1.54500i	0.805757	−	0.592246i	$-0.201759\pi$
$272$	−4.22958	−	5.82151i	−0.256456	−	0.352981i
$273$		−	15.1114i		−	0.914583i
$274$	−30.3574	+	9.86372i	−1.83396	+	0.595889i
$275$	2.58085	+	3.55223i	0.155631	+	0.214207i
$276$	−1.67756	+	2.30897i	−0.100978	+	0.138984i
$277$	−19.1896	−	13.9421i	−1.15299	−	0.837698i	−0.164117	−	0.986441i	$-0.552477\pi$
$277$	−19.1896	−	13.9421i	−1.15299	−	0.837698i	−0.988876	+	0.148742i	$0.952477\pi$
$278$	−21.5777			−1.29414
$279$	3.13519	+	2.27785i	0.187699	+	0.136371i
$280$	8.25899	+	2.68351i	0.493569	+	0.160370i
$281$	−20.7707	+	6.74882i	−1.23908	+	0.402601i	−0.853995	−	0.520281i	$-0.825827\pi$
$281$	−20.7707	+	6.74882i	−1.23908	+	0.402601i	−0.385083	+	0.922882i	$0.625827\pi$
$282$	−29.8605	+	21.6949i	−1.77817	+	1.29191i
$283$	5.15724	−	3.74695i	0.306566	−	0.222733i	−0.423856	−	0.905730i	$-0.639324\pi$
$283$	5.15724	−	3.74695i	0.306566	−	0.222733i	0.730422	+	0.682997i	$0.239324\pi$
$284$			0.565700i			0.0335681i
$285$	5.12620	+	15.7768i	0.303650	+	0.934537i
$286$	7.41742			0.438601
$287$	1.02856	+	6.31997i	0.0607139	+	0.373056i
$288$	−3.00486			−0.177063
$289$	4.42580	+	13.6212i	0.260341	+	0.801248i
$290$		−	23.4799i		−	1.37878i
$291$	32.0480	−	23.2843i	1.87869	−	1.36495i
$292$	2.35773	−	1.71299i	0.137976	−	0.100245i
$293$	−21.7912	+	7.08040i	−1.27306	+	0.413641i	−0.866130	−	0.499819i	$-0.833400\pi$
$293$	−21.7912	+	7.08040i	−1.27306	+	0.413641i	−0.406928	+	0.913460i	$0.633400\pi$
$294$	3.29122	+	1.06938i	0.191948	+	0.0623677i
$295$	1.17448	+	0.853310i	0.0683809	+	0.0496816i
$296$	−3.70153			−0.215147
$297$	−0.881236	−	0.640255i	−0.0511345	−	0.0371514i
$298$	−2.29284	+	3.15583i	−0.132821	+	0.182812i
$299$	−21.0437	−	28.9641i	−1.21699	−	1.67504i
$300$	−2.83772	+	0.922032i	−0.163836	+	0.0532335i
$301$		−	7.71284i		−	0.444560i
$302$	10.1018	+	13.9039i	0.581294	+	0.800082i
$303$	−6.65110	+	20.4700i	−0.382096	+	1.17597i
$304$	−5.63563	+	7.75678i	−0.323225	+	0.444882i
$305$	11.1121	+	34.1996i	0.636279	+	1.95826i
$306$	−5.53629	−	1.79885i	−0.316488	−	0.102833i
$307$	−4.76854	+	14.6761i	−0.272155	+	0.837606i	0.717803	+	0.696246i	$0.245148\pi$
$307$	−4.76854	+	14.6761i	−0.272155	+	0.837606i	−0.989958	+	0.141361i	$0.954852\pi$
$308$	−0.0528010	+	0.162505i	−0.00300861	+	0.00925956i
$309$	32.3731	+	10.5187i	1.84164	+	0.598386i
$310$	2.45415	+	7.55311i	0.139387	+	0.428988i
$311$	−12.9530	+	17.8283i	−0.734499	+	1.01095i	0.264417	+	0.964408i	$0.414820\pi$
$311$	−12.9530	+	17.8283i	−0.734499	+	1.01095i	−0.998916	+	0.0465429i	$0.985180\pi$
$312$	12.3693	−	38.0687i	0.700271	−	2.15521i
$313$	−5.59586	−	7.70204i	−0.316297	−	0.435345i	0.621035	−	0.783783i	$-0.286712\pi$
$313$	−5.59586	−	7.70204i	−0.316297	−	0.435345i	−0.937332	+	0.348437i	$0.886712\pi$
$314$		−	33.5334i		−	1.89240i
$315$	7.43801	−	2.41676i	0.419085	−	0.136169i
$316$	−2.06990	−	2.84897i	−0.116441	−	0.160267i
$317$	−7.76611	+	10.6891i	−0.436188	+	0.600361i	−0.969360	−	0.245646i	$-0.921000\pi$
$317$	−7.76611	+	10.6891i	−0.436188	+	0.600361i	0.533172	+	0.846007i	$0.321000\pi$
$318$	−2.29708	−	1.66893i	−0.128814	−	0.0935887i
$319$	−3.66879			−0.205413
$320$	18.3441	+	13.3278i	1.02547	+	0.745045i
$321$	−19.6349	−	6.37978i	−1.09592	−	0.356084i
$322$	7.79751	−	2.53357i	0.434538	−	0.141190i
$323$	−2.88656	+	2.09721i	−0.160613	+	0.116692i
$324$	1.89393	−	1.37602i	0.105218	−	0.0764455i
$325$		−	37.4288i		−	2.07618i
$326$	0.302722	+	0.931681i	0.0167662	+	0.0516011i
$327$	−25.6675			−1.41941
$328$	−2.58200	+	16.7632i	−0.142567	+	0.925594i
$329$	10.6657			0.588018
$330$	2.67808	+	8.24229i	0.147424	+	0.453723i
$331$		−	18.1232i		−	0.996140i	−0.867137	−	0.498070i	$-0.834042\pi$
$331$		−	18.1232i		−	0.996140i	0.867137	−	0.498070i	$-0.165958\pi$
$332$	1.12889	−	0.820189i	0.0619561	−	0.0450137i
$333$	−2.69692	+	1.95943i	−0.147791	+	0.107376i
$334$	−32.2493	+	10.4784i	−1.76460	+	0.573354i
$335$	−8.81406	−	2.86386i	−0.481564	−	0.156470i
$336$	8.25585	+	5.99822i	0.450393	+	0.327230i
$337$	−1.39857			−0.0761852			−0.0380926	−	0.999274i	$-0.512128\pi$
$337$	−1.39857			−0.0761852			−0.0380926	+	0.999274i	$0.512128\pi$
$338$	−35.4699	−	25.7704i	−1.92931	−	1.40173i
$339$	6.37155	−	8.76969i	0.346055	−	0.476304i
$340$	−0.705349	−	0.970829i	−0.0382529	−	0.0526506i
$341$	1.18019	−	0.383467i	0.0639109	−	0.0207659i
$342$			7.75636i			0.419416i
$343$	−0.587785	−	0.809017i	−0.0317374	−	0.0436828i
$344$	6.31326	−	19.4302i	0.340388	−	1.04761i
$345$	24.5873	−	33.8415i	1.32373	−	1.82196i
$346$	−6.26702	−	19.2879i	−0.336917	−	1.03692i
$347$	12.8607	+	4.17869i	0.690398	+	0.224324i	0.633142	−	0.774036i	$-0.281765\pi$
$347$	12.8607	+	4.17869i	0.690398	+	0.224324i	0.0572560	+	0.998360i	$0.481765\pi$
$348$	0.770416	−	2.37110i	0.0412986	−	0.127104i
$349$	−1.61475	+	4.96970i	−0.0864358	+	0.266022i	−0.984927	−	0.172969i	$-0.944664\pi$
$349$	−1.61475	+	4.96970i	−0.0864358	+	0.266022i	0.898491	+	0.438991i	$0.144664\pi$
$350$	8.15190	+	2.64871i	0.435738	+	0.141580i
$351$	2.86932	+	8.83087i	0.153153	+	0.471357i
$352$	−0.565566	+	0.778435i	−0.0301448	+	0.0414907i
$353$	−5.44907	+	16.7705i	−0.290025	+	0.892605i	0.694822	+	0.719181i	$0.255483\pi$
$353$	−5.44907	+	16.7705i	−0.290025	+	0.892605i	−0.984847	+	0.173424i	$0.944517\pi$
$354$	0.900729	+	1.23975i	0.0478732	+	0.0658918i
$355$		−	8.29120i		−	0.440051i
$356$	0.0588790	−	0.0191310i	0.00312058	−	0.00101394i
$357$	2.23214	+	3.07228i	0.118138	+	0.162602i
$358$	−3.27499	+	4.50764i	−0.173089	+	0.238236i
$359$	18.8234	+	13.6760i	0.993459	+	0.721790i	0.960676	−	0.277672i	$-0.0895629\pi$
$359$	18.8234	+	13.6760i	0.993459	+	0.721790i	0.0327831	+	0.999462i	$0.489563\pi$
$360$	20.7161			1.09183
$361$	−11.5252	−	8.37353i	−0.606588	−	0.440712i
$362$	15.2997	+	4.97119i	0.804136	+	0.261280i
$363$	−22.9902	+	7.46996i	−1.20667	+	0.392071i
$364$	1.17836	−	0.856132i	0.0617631	−	0.0448735i
$365$	−34.5562	+	25.1065i	−1.80875	+	1.31414i
$366$			37.9579i			1.98409i
$367$	−3.44646	−	10.6071i	−0.179904	−	0.553686i	0.819920	−	0.572478i	$-0.194018\pi$
$367$	−3.44646	−	10.6071i	−0.179904	−	0.553686i	−0.999823	+	0.0187922i	$0.994018\pi$
$368$	24.1770			1.26031
$369$	6.99249	+	13.5804i	0.364015	+	0.706969i
$370$	−6.83163			−0.355160
$371$	0.253542	+	0.780321i	0.0131632	+	0.0405123i
$372$			0.843269i			0.0437215i
$373$	24.6544	−	17.9125i	1.27656	−	0.927472i	0.277113	−	0.960837i	$-0.410622\pi$
$373$	24.6544	−	17.9125i	1.27656	−	0.927472i	0.999443	+	0.0333654i	$0.0106225\pi$
$374$	−1.50803	+	1.09565i	−0.0779784	+	0.0566546i
$375$	5.41232	−	1.75857i	0.279491	−	0.0908121i
$376$	26.8690	+	8.73027i	1.38566	+	0.450229i
$377$	25.3013	+	18.3825i	1.30308	+	0.946745i
$378$	−2.12639			−0.109370
$379$	0.101178	+	0.0735102i	0.00519717	+	0.00377597i	0.590381	−	0.807125i	$-0.298978\pi$
$379$	0.101178	+	0.0735102i	0.00519717	+	0.00377597i	−0.585184	+	0.810901i	$0.698978\pi$
$380$	−0.939830	+	1.29357i	−0.0482123	+	0.0663585i
$381$	−21.2194	−	29.2060i	−1.08710	−	1.49627i
$382$	12.2786	−	3.98957i	0.628229	−	0.204124i
$383$			8.20284i			0.419145i	0.977793	+	0.209573i	$0.0672073\pi$
$383$			8.20284i			0.419145i	−0.977793	+	0.209573i	$0.932793\pi$
$384$	17.5048	+	24.0933i	0.893288	+	1.22950i
$385$	0.773879	−	2.38175i	0.0394405	−	0.121385i
$386$	17.1252	−	23.5708i	0.871649	−	1.19972i
$387$	−5.68569	−	17.4988i	−0.289020	−	0.889512i
$388$	3.63135	+	1.17990i	0.184354	+	0.0599002i
$389$	−6.66948	+	20.5265i	−0.338156	+	1.04074i	0.626990	+	0.779027i	$0.284286\pi$
$389$	−6.66948	+	20.5265i	−0.338156	+	1.04074i	−0.965146	+	0.261710i	$0.915714\pi$
$390$	22.8290	−	70.2604i	1.15599	−	3.55777i
$391$	8.55674	+	2.78025i	0.432733	+	0.140604i
$392$	−0.818539	−	2.51920i	−0.0413425	−	0.127239i
$393$	−9.39276	+	12.9280i	−0.473802	+	0.652133i
$394$	−3.95272	+	12.1652i	−0.199135	+	0.612874i
$395$	30.3375	+	41.7560i	1.52644	+	2.10097i
$396$			0.407612i			0.0204833i
$397$	16.2537	−	5.28115i	0.815750	−	0.265053i	0.128719	−	0.991681i	$-0.458914\pi$
$397$	16.2537	−	5.28115i	0.815750	−	0.265053i	0.687031	+	0.726628i	$0.258914\pi$
$398$	−22.8016	−	31.3837i	−1.14294	−	1.57313i
$399$	2.97418	−	4.09361i	0.148895	−	0.204937i
$400$	20.4486	+	14.8568i	1.02243	+	0.742838i
$401$	−3.18032			−0.158818			−0.0794089	−	0.996842i	$-0.525303\pi$
$401$	−3.18032			−0.158818			−0.0794089	+	0.996842i	$0.525303\pi$
$402$	−7.91434	−	5.75011i	−0.394732	−	0.286789i
$403$	−10.0604	−	3.26882i	−0.501144	−	0.162832i
$404$	−1.97304	+	0.641079i	−0.0981623	+	0.0318949i
$405$	−27.7584	+	20.1677i	−1.37933	+	1.00214i
$406$	−5.79415	+	4.20969i	−0.287559	+	0.208924i
$407$			1.06746i			0.0529120i
$408$	3.10844	+	9.56680i	0.153891	+	0.473627i
$409$	−2.94593			−0.145667			−0.0728334	−	0.997344i	$-0.523204\pi$
$409$	−2.94593			−0.145667			−0.0728334	+	0.997344i	$0.523204\pi$
$410$	−4.76539	+	30.9386i	−0.235346	+	1.52795i
$411$	49.6748			2.45028
$412$	1.01386	+	3.12034i	0.0499493	+	0.153728i
$413$		−	0.442817i		−	0.0217896i
$414$	15.8232	−	11.4962i	0.777668	−	0.565009i
$415$	−16.5457	+	12.0211i	−0.812195	+	0.590094i
$416$	7.80070	−	2.53460i	0.382461	−	0.124269i
$417$	31.9367	+	10.3769i	1.56395	+	0.508157i
$418$	2.00935	+	1.45988i	0.0982805	+	0.0714050i
$419$	−16.1804			−0.790465			−0.395233	−	0.918581i	$-0.629336\pi$
$419$	−16.1804			−0.790465			−0.395233	+	0.918581i	$0.629336\pi$
$420$	1.37679	+	1.00030i	0.0671806	+	0.0488096i
$421$	−7.29848	+	10.0455i	−0.355706	+	0.489588i	−0.948946	−	0.315438i	$-0.897849\pi$
$421$	−7.29848	+	10.0455i	−0.355706	+	0.489588i	0.593240	+	0.805026i	$0.297849\pi$
$422$	−16.6696	−	22.9438i	−0.811464	−	1.11688i
$423$	24.1981	−	7.86244i	1.17655	−	0.382285i
$424$			2.17332i			0.105546i
$425$	5.52871	+	7.60962i	0.268182	+	0.369121i
$426$	2.70450	−	8.32360i	0.131033	−	0.403280i
$427$	6.44718	−	8.87379i	0.312001	−	0.429433i
$428$	−0.614927	−	1.89255i	−0.0297236	−	0.0914799i
$429$	−10.9784	−	3.56709i	−0.530040	−	0.172221i
$430$	11.6519	−	35.8608i	0.561904	−	1.72936i
$431$	1.93732	−	5.96245i	0.0933173	−	0.287201i	−0.893494	−	0.449075i	$-0.851754\pi$
$431$	1.93732	−	5.96245i	0.0933173	−	0.287201i	0.986812	+	0.161874i	$0.0517537\pi$
$432$	−5.96352	−	1.93767i	−0.286920	−	0.0932260i
$433$	−4.86824	−	14.9829i	−0.233952	−	0.720032i	−0.997259	−	0.0739948i	$-0.976425\pi$
$433$	−4.86824	−	14.9829i	−0.233952	−	0.720032i	0.763306	−	0.646037i	$-0.223575\pi$
$434$	1.42388	−	1.95981i	0.0683486	−	0.0940737i
$435$	−11.2916	+	34.7520i	−0.541392	+	1.66623i
$436$	−1.45419	−	2.00151i	−0.0696428	−	0.0958551i
$437$		−	11.9880i		−	0.573465i
$438$	−42.8807	+	13.9328i	−2.04892	+	0.665734i
$439$	−8.87078	−	12.2096i	−0.423379	−	0.582732i	0.543038	−	0.839708i	$-0.317274\pi$
$439$	−8.87078	−	12.2096i	−0.423379	−	0.582732i	−0.966418	+	0.256976i	$0.917274\pi$
$440$	3.89912	−	5.36667i	0.185883	−	0.255846i
$441$	−1.92994	−	1.40219i	−0.0919021	−	0.0667708i
$442$	15.8897			0.755794
$443$	−4.90067	−	3.56055i	−0.232838	−	0.169167i	0.465249	−	0.885180i	$-0.345965\pi$
$443$	−4.90067	−	3.56055i	−0.232838	−	0.169167i	−0.698087	+	0.716013i	$0.745965\pi$
$444$	−0.689887	−	0.224158i	−0.0327406	−	0.0106381i
$445$	−0.862962	+	0.280393i	−0.0409083	+	0.0132919i
$446$	5.29330	−	3.84581i	0.250645	−	0.182104i
$447$	4.91125	−	3.56823i	0.232294	−	0.168771i
$448$		−	6.91632i		−	0.326766i
$449$	4.79780	+	14.7661i	0.226422	+	0.696855i	0.998144	+	0.0608954i	$0.0193956\pi$
$449$	4.79780	+	14.7661i	0.226422	+	0.696855i	−0.771722	+	0.635960i	$0.780604\pi$
$450$	20.4475			0.963903
$451$	4.83423	+	0.744604i	0.227635	+	0.0350620i
$452$	1.04483			0.0491446
$453$	−8.26497	−	25.4370i	−0.388322	−	1.19513i
$454$		−	4.76943i		−	0.223840i
$455$	−17.2707	+	12.5479i	−0.809665	+	0.588256i
$456$	10.8434	−	7.87816i	0.507787	−	0.368929i
$457$	33.0517	−	10.7391i	1.54609	−	0.502356i	0.593043	−	0.805171i	$-0.297927\pi$
$457$	33.0517	−	10.7391i	1.54609	−	0.502356i	0.953049	+	0.302815i	$0.0979265\pi$
$458$	−12.9061	−	4.19344i	−0.603061	−	0.195946i
$459$	−1.88779	−	1.37156i	−0.0881145	−	0.0640190i
$460$	4.03190			0.187988
$461$	−29.6503	−	21.5422i	−1.38095	−	1.00332i	−0.996790	−	0.0800556i	$-0.974490\pi$
$461$	−29.6503	−	21.5422i	−1.38095	−	1.00332i	−0.384163	−	0.923265i	$-0.625510\pi$
$462$	1.55381	−	2.13863i	0.0722896	−	0.0994981i
$463$	−4.10347	−	5.64794i	−0.190704	−	0.262482i	0.702949	−	0.711240i	$-0.251866\pi$
$463$	−4.10347	−	5.64794i	−0.190704	−	0.262482i	−0.893653	+	0.448759i	$0.851866\pi$
$464$	−20.0859	+	6.52630i	−0.932464	+	0.302976i
$465$		−	12.3594i		−	0.573154i
$466$	−6.92910	−	9.53709i	−0.320984	−	0.441797i
$467$	8.50198	−	26.1664i	0.393425	−	1.21084i	−0.536757	−	0.843737i	$-0.680351\pi$
$467$	8.50198	−	26.1664i	0.393425	−	1.21084i	0.930181	−	0.367100i	$-0.119649\pi$
$468$	2.04234	−	2.81104i	0.0944071	−	0.129940i
$469$	0.873551	+	2.68851i	0.0403369	+	0.124144i
$470$	49.5901	+	16.1128i	2.28742	+	0.743228i
$471$	−16.1264	+	49.6320i	−0.743066	+	2.28692i
$472$	0.362463	−	1.11555i	0.0166837	−	0.0513472i
$473$	−5.60334	−	1.82064i	−0.257642	−	0.0837130i
$474$	16.8357	+	51.8149i	0.773288	+	2.37994i
$475$	7.36664	−	10.1393i	0.338005	−	0.465223i
$476$	−0.113111	+	0.348119i	−0.00518442	+	0.0159560i
$477$	1.15046	+	1.58348i	0.0526761	+	0.0725024i
$478$		−	6.02557i		−	0.275603i
$479$	1.54542	−	0.502136i	0.0706119	−	0.0229432i	−0.273498	−	0.961873i	$-0.588181\pi$
$479$	1.54542	−	0.502136i	0.0706119	−	0.0229432i	0.344110	+	0.938929i	$0.388181\pi$
$480$	5.63293	+	7.75307i	0.257107	+	0.353877i
$481$	5.34851	−	7.36159i	0.243871	−	0.335659i
$482$	1.42726	+	1.03697i	0.0650101	+	0.0472326i
$483$	−12.7593			−0.580570
$484$	−1.88500	−	1.36953i	−0.0856818	−	0.0622515i
$485$	−53.2230	−	17.2932i	−2.41673	−	0.785244i
$486$	−28.3784	+	9.22070i	−1.28727	+	0.418259i
$487$	−13.4713	+	9.78749i	−0.610444	+	0.443513i	−0.849571	−	0.527475i	$-0.823139\pi$
$487$	−13.4713	+	9.78749i	−0.610444	+	0.443513i	0.239127	+	0.970988i	$0.423139\pi$
$488$	23.5053	−	17.0776i	1.06404	−	0.773067i
$489$		−	1.52454i		−	0.0689422i
$490$	−1.51071	−	4.64950i	−0.0682471	−	0.210043i
$491$	9.74141			0.439624			0.219812	−	0.975542i	$-0.429456\pi$
$491$	9.74141			0.439624			0.219812	+	0.975542i	$0.429456\pi$
$492$	−1.49638	+	2.96795i	−0.0674620	+	0.133805i
$493$	−7.85931			−0.353965
$494$	−6.54249	−	20.1357i	−0.294360	−	0.905948i
$495$		−	5.97417i		−	0.268519i
$496$	5.77918	−	4.19882i	0.259493	−	0.188532i
$497$	−2.04603	+	1.48653i	−0.0917768	+	0.0666798i
$498$	−20.5315	+	6.67108i	−0.920038	+	0.298938i
$499$	−33.3715	−	10.8431i	−1.49391	−	0.485402i	−0.555677	−	0.831398i	$-0.687541\pi$
$499$	−33.3715	−	10.8431i	−1.49391	−	0.485402i	−0.938236	+	0.345996i	$0.887541\pi$
$500$	0.443764	+	0.322414i	0.0198457	+	0.0144188i
$501$	52.7706			2.35762
$502$	−34.6175	−	25.1511i	−1.54505	−	1.12255i
$503$	17.2288	−	23.7135i	0.768196	−	1.05733i	−0.228292	−	0.973593i	$-0.573314\pi$
$503$	17.2288	−	23.7135i	0.768196	−	1.05733i	0.996488	−	0.0837384i	$-0.0266860\pi$
$504$	−3.71418	−	5.11213i	−0.165443	−	0.227712i
$505$	28.9179	−	9.39599i	1.28683	−	0.418116i
$506$		−	6.26292i		−	0.278421i
$507$	40.1051	+	55.2000i	1.78113	+	2.45152i
$508$	1.07526	−	3.30932i	0.0477071	−	0.146827i
$509$	5.84528	−	8.04534i	0.259088	−	0.356604i	−0.659580	−	0.751634i	$-0.729266\pi$
$509$	5.84528	−	8.04534i	0.259088	−	0.356604i	0.918668	+	0.395030i	$0.129266\pi$
$510$	5.73702	+	17.6567i	0.254039	+	0.781853i
$511$	12.3911	+	4.02612i	0.548151	+	0.178105i
$512$	5.48715	−	16.8877i	0.242500	−	0.746338i
$513$	−0.960780	+	2.95698i	−0.0424195	+	0.130554i
$514$	39.8696	+	12.9544i	1.75857	+	0.571395i
$515$	−14.8597	−	45.7334i	−0.654796	−	2.01525i
$516$	2.35331	−	3.23906i	0.103599	−	0.142592i
$517$	2.51766	−	7.74857i	0.110727	−	0.340782i
$518$	1.22484	+	1.68585i	0.0538164	+	0.0740719i
$519$			31.5615i			1.38539i
$520$	−53.7795	+	17.4740i	−2.35839	+	0.766286i
$521$	−7.20796	−	9.92091i	−0.315786	−	0.434643i	0.621388	−	0.783503i	$-0.286569\pi$
$521$	−7.20796	−	9.92091i	−0.315786	−	0.434643i	−0.937175	+	0.348860i	$0.886569\pi$
$522$	−10.0424	+	13.8222i	−0.439544	+	0.604980i
$523$	−23.5973	−	17.1444i	−1.03184	−	0.749674i	−0.0631616	−	0.998003i	$-0.520118\pi$
$523$	−23.5973	−	17.1444i	−1.03184	−	0.749674i	−0.968676	+	0.248330i	$0.920118\pi$
$524$	−1.54025			−0.0672863
$525$	−10.7917	−	7.84061i	−0.470987	−	0.342192i
$526$	1.74543	+	0.567126i	0.0761045	+	0.0247279i
$527$	2.52822	−	0.821467i	0.110131	−	0.0357837i
$528$	6.30650	−	4.58194i	0.274455	−	0.199403i
$529$	−5.84855	+	4.24922i	−0.254285	+	0.184749i
$530$			4.01113i			0.174233i
$531$	−0.326433	−	1.00466i	−0.0141660	−	0.0435984i
$532$	0.487716			0.0211452
$533$	−29.6078	−	29.3570i	−1.28246	−	1.27159i
$534$	−0.957795			−0.0414479
$535$	9.01269	+	27.7382i	0.389653	+	1.19923i
$536$			7.48795i			0.323430i
$537$	7.01500	−	5.09669i	0.302720	−	0.219939i
$538$	−24.1315	+	17.5325i	−1.04038	+	0.755881i
$539$	−0.726496	+	0.236053i	−0.0312924	+	0.0101675i
$540$	−0.994512	−	0.323137i	−0.0427970	−	0.0139056i
$541$	1.32052	+	0.959414i	0.0567736	+	0.0412484i	0.615810	−	0.787895i	$-0.288829\pi$
$541$	1.32052	+	0.959414i	0.0567736	+	0.0412484i	−0.559037	+	0.829143i	$0.688829\pi$
$542$	−39.8788			−1.71294
$543$	−20.2541	−	14.7155i	−0.869188	−	0.631502i
$544$	−1.21156	+	1.66757i	−0.0519452	+	0.0714965i
$545$	21.3133	+	29.3352i	0.912962	+	1.25658i
$546$	−21.4312	+	6.96343i	−0.917172	+	0.298007i
$547$			9.64369i			0.412334i	0.978517	+	0.206167i	$0.0660991\pi$
$547$			9.64369i			0.412334i	−0.978517	+	0.206167i	$0.933901\pi$
$548$	2.81432	+	3.87358i	0.120222	+	0.165471i
$549$	8.08576	−	24.8854i	0.345092	−	1.06208i
$550$	3.84856	−	5.29709i	0.164103	−	0.225869i
$551$	3.23603	+	9.95947i	0.137859	+	0.424288i
$552$	−32.1434	−	10.4440i	−1.36811	−	0.444527i
$553$	4.86496	−	14.9728i	0.206879	−	0.636709i
$554$	−10.9302	+	33.6397i	−0.464379	+	1.42921i
$555$	10.1113	+	3.28538i	0.429203	+	0.139456i
$556$	1.00019	+	3.07828i	0.0424176	+	0.130548i
$557$	13.5290	−	18.6211i	0.573242	−	0.789000i	−0.419692	−	0.907667i	$-0.637862\pi$
$557$	13.5290	−	18.6211i	0.573242	−	0.789000i	0.992934	+	0.118667i	$0.0378620\pi$
$558$	1.78577	−	5.49603i	0.0755975	−	0.232665i
$559$	29.5204	+	40.6313i	1.24858	+	1.71852i
$560$		−	14.4163i		−	0.609199i
$561$	2.75891	−	0.896423i	0.116481	−	0.0378470i
$562$	19.1426	+	26.3475i	0.807482	+	1.11140i
$563$	−20.5056	+	28.2235i	−0.864208	+	1.18948i	0.116342	+	0.993209i	$0.462883\pi$
$563$	−20.5056	+	28.2235i	−0.864208	+	1.18948i	−0.980550	+	0.196270i	$0.937117\pi$
$564$	4.47913	+	3.25428i	0.188605	+	0.137030i
$565$	−15.3135			−0.644246
$566$	−7.69048	−	5.58746i	−0.323255	−	0.234859i
$567$	9.95358	+	3.23412i	0.418011	+	0.135820i
$568$	−6.37114	+	2.07011i	−0.267327	+	0.0868598i
$569$	21.2418	−	15.4331i	0.890503	−	0.646989i	−0.0455058	−	0.998964i	$-0.514490\pi$
$569$	21.2418	−	15.4331i	0.890503	−	0.646989i	0.936009	+	0.351975i	$0.114490\pi$
$570$	20.0128	−	14.5401i	0.838242	−	0.609019i
$571$		−	11.3513i		−	0.475039i	−0.971383	−	0.237519i	$-0.923666\pi$
$571$		−	11.3513i		−	0.475039i	0.971383	−	0.237519i	$-0.0763343\pi$
$572$	−0.343820	−	1.05817i	−0.0143758	−	0.0442443i
$573$	−20.0919			−0.839352
$574$	8.48913	−	4.37101i	0.354329	−	0.182442i
$575$	−31.6031			−1.31794
$576$	−5.09853	−	15.6917i	−0.212439	−	0.653819i
$577$			5.87385i			0.244531i	0.992497	+	0.122266i	$0.0390160\pi$
$577$			5.87385i			0.244531i	−0.992497	+	0.122266i	$0.960984\pi$
$578$	17.2784	−	12.5535i	0.718687	−	0.522157i
$579$	−36.6820	+	26.6510i	−1.52445	+	1.10758i
$580$	−3.34964	+	1.08836i	−0.139086	+	0.0451918i
$581$	5.93293	+	1.92773i	0.246139	+	0.0799755i
$582$	−47.7901	−	34.7215i	−1.98096	−	1.43925i
$583$	0.626750			0.0259573
$584$	27.9202	+	20.2852i	1.15535	+	0.839409i
$585$	−29.9336	+	41.2001i	−1.23760	+	1.70341i
$586$	20.0831	+	27.6420i	0.829625	+	1.14188i
$587$	44.8650	−	14.5775i	1.85178	−	0.601679i	0.855268	−	0.518186i	$-0.173393\pi$
$587$	44.8650	−	14.5775i	1.85178	−	0.601679i	0.996508	−	0.0834923i	$-0.0266074\pi$
$588$		−	0.519096i		−	0.0214071i
$589$	−2.08196	−	2.86557i	−0.0857856	−	0.118074i
$590$	0.668970	−	2.05888i	0.0275411	−	0.0847627i
$591$	11.7007	−	16.1046i	0.481301	−	0.662453i
$592$	1.89887	+	5.84413i	0.0780432	+	0.240192i
$593$	22.9008	+	7.44091i	0.940422	+	0.305562i	0.738818	−	0.673905i	$-0.235384\pi$
$593$	22.9008	+	7.44091i	0.940422	+	0.305562i	0.201604	+	0.979467i	$0.435384\pi$
$594$	−0.501942	+	1.54482i	−0.0205949	+	0.0633846i
$595$	1.65781	−	5.10222i	0.0679636	−	0.209170i
$596$	0.556491	+	0.180815i	0.0227948	+	0.00740647i
$597$	18.6555	+	57.4158i	0.763520	+	2.34987i
$598$	−31.3804	+	43.1914i	−1.28324	+	1.76623i
$599$	5.55256	−	17.0890i	0.226871	−	0.698238i	−0.771225	−	0.636563i	$-0.780356\pi$
$599$	5.55256	−	17.0890i	0.226871	−	0.698238i	0.998096	−	0.0616755i	$-0.0196444\pi$
$600$	−20.7686	−	28.5855i	−0.847873	−	1.16700i
$601$		−	45.2256i		−	1.84479i	−0.386247	−	0.922395i	$-0.626229\pi$
$601$		−	45.2256i		−	1.84479i	0.386247	−	0.922395i	$-0.373771\pi$
$602$	−10.9385	+	3.55413i	−0.445819	+	0.144855i
$603$	3.96380	+	5.45570i	0.161418	+	0.222173i
$604$	1.51529	−	2.08562i	0.0616562	−	0.0848625i
$605$	27.6276	+	20.0726i	1.12322	+	0.816067i
$606$	32.0957			1.30380
$607$	−21.4436	−	15.5797i	−0.870370	−	0.632360i	0.0603166	−	0.998179i	$-0.480789\pi$
$607$	−21.4436	−	15.5797i	−0.870370	−	0.632360i	−0.930686	+	0.365819i	$0.880789\pi$
$608$	2.61203	+	0.848700i	0.105932	+	0.0344193i
$609$	10.6003	−	3.44423i	0.429544	−	0.139567i
$610$	43.3819	−	31.5188i	1.75648	−	1.27616i
$611$	−56.1870	+	40.8222i	−2.27308	+	1.65149i
$612$			0.873189i			0.0352966i
$613$	3.15546	+	9.71151i	0.127448	+	0.392244i	0.994339	−	0.106253i	$-0.0338854\pi$
$613$	3.15546	+	9.71151i	0.127448	+	0.392244i	−0.866891	+	0.498497i	$0.833885\pi$
$614$	23.0112			0.928657
$615$	21.9317	−	43.4998i	0.884372	−	1.75408i
$616$	−2.02341			−0.0815255
$617$	−4.79706	−	14.7638i	−0.193122	−	0.594369i	−0.999993	−	0.00364180i	$-0.998841\pi$
$617$	−4.79706	−	14.7638i	−0.193122	−	0.594369i	0.806871	−	0.590728i	$-0.201159\pi$
$618$		−	50.7592i		−	2.04183i
$619$	−18.6410	+	13.5435i	−0.749244	+	0.544358i	−0.895592	−	0.444875i	$-0.853248\pi$
$619$	−18.6410	+	13.5435i	−0.749244	+	0.544358i	0.146348	+	0.989233i	$0.453248\pi$
$620$	0.963769	−	0.700219i	0.0387059	−	0.0281215i
$621$	7.45636	−	2.42272i	0.299214	−	0.0972204i
$622$	31.2533	+	10.1548i	1.25314	+	0.407171i
$623$	0.223913	+	0.162682i	0.00897089	+	0.00651773i
$624$	−66.4498			−2.66012
$625$	16.7471	+	12.1675i	0.669883	+	0.486699i
$626$	−8.34456	+	11.4853i	−0.333516	+	0.459045i
$627$	−2.27193	−	3.12704i	−0.0907321	−	0.124882i
$628$	−4.78388	+	1.55438i	−0.190897	+	0.0620263i
$629$			2.28672i			0.0911775i
$630$	−6.85497	−	9.43506i	−0.273109	−	0.375902i
$631$	4.64247	−	14.2881i	0.184814	−	0.568798i	−0.815131	−	0.579276i	$-0.803335\pi$
$631$	4.64247	−	14.2881i	0.184814	−	0.568798i	0.999945	+	0.0104779i	$0.00333528\pi$
$632$	24.5117	−	33.7374i	0.975021	−	1.34200i
$633$	13.6385	+	41.9751i	0.542083	+	1.66836i
$634$	18.7382	+	6.08840i	0.744188	+	0.241801i
$635$	−15.7596	+	48.5032i	−0.625402	+	1.92479i
$636$	−0.131612	+	0.405061i	−0.00521877	+	0.0160617i
$637$	6.19293	+	2.01220i	0.245373	+	0.0797264i
$638$	1.69060	+	5.20314i	0.0669315	+	0.205994i
$639$	−3.54617	+	4.88088i	−0.140284	+	0.193085i
$640$	13.0008	−	40.0123i	0.513901	−	1.58163i
$641$	−5.26959	−	7.25297i	−0.208136	−	0.286475i	0.692168	−	0.721737i	$-0.256656\pi$
$641$	−5.26959	−	7.25297i	−0.208136	−	0.286475i	−0.900304	+	0.435262i	$0.856656\pi$
$642$			30.7865i			1.21504i
$643$	−9.10159	+	2.95729i	−0.358932	+	0.116624i	−0.482931	−	0.875658i	$-0.660428\pi$
$643$	−9.10159	+	2.95729i	−0.358932	+	0.116624i	0.124000	+	0.992282i	$0.460428\pi$
$644$	−0.722877	−	0.994955i	−0.0284854	−	0.0392067i
$645$	−34.4914	+	47.4734i	−1.35810	+	1.86926i
$646$	4.30445	+	3.12736i	0.169356	+	0.123044i
$647$	2.76739			0.108797			0.0543987	−	0.998519i	$-0.482676\pi$
$647$	2.76739			0.108797			0.0543987	+	0.998519i	$0.482676\pi$
$648$	22.4279	+	16.2948i	0.881049	+	0.640120i
$649$	−0.321705	−	0.104528i	−0.0126280	−	0.00410309i
$650$	−53.0822	+	17.2474i	−2.08205	+	0.676500i
$651$	−3.04994	+	2.21591i	−0.119537	+	0.0868484i
$652$	0.118882	−	0.0863726i	0.00465577	−	0.00338261i
$653$			10.0500i			0.393287i	0.980475	+	0.196643i	$0.0630041\pi$
$653$			10.0500i			0.393287i	−0.980475	+	0.196643i	$0.936996\pi$
$654$	11.8277	+	36.4020i	0.462501	+	1.42343i
$655$	22.5748			0.882070
$656$	27.7910	−	4.52291i	1.08506	−	0.176590i
$657$	31.0808			1.21258
$658$	−4.91481	−	15.1262i	−0.191599	−	0.589682i
$659$			0.776983i			0.0302670i	0.999885	+	0.0151335i	$0.00481732\pi$
$659$			0.776983i			0.0302670i	−0.999885	+	0.0151335i	$0.995183\pi$
$660$	1.05171	−	0.764111i	0.0409377	−	0.0297430i
$661$	−9.28367	+	6.74498i	−0.361093	+	0.262349i	−0.753508	−	0.657439i	$-0.771640\pi$
$661$	−9.28367	+	6.74498i	−0.361093	+	0.262349i	0.392415	+	0.919788i	$0.371640\pi$
$662$	−25.7026	+	8.35128i	−0.998960	+	0.324582i
$663$	−23.5179	−	7.64144i	−0.913361	−	0.296769i
$664$	13.3683	+	9.71267i	0.518792	+	0.376925i
$665$	−7.14822			−0.277196
$666$	4.02166	+	2.92191i	0.155836	+	0.113222i
$667$	15.5213	−	21.3632i	0.600986	−	0.827187i
$668$	2.98971	+	4.11498i	0.115675	+	0.159213i
$669$	−9.68397	+	3.14651i	−0.374404	+	0.121651i
$670$			13.8199i			0.533911i
$671$	−4.92489	−	6.77854i	−0.190123	−	0.261682i
$672$	0.903305	−	2.78009i	0.0348458	−	0.107244i
$673$	−12.2488	+	16.8590i	−0.472156	+	0.649867i	−0.976974	−	0.213359i	$-0.931560\pi$
$673$	−12.2488	+	16.8590i	−0.472156	+	0.649867i	0.504818	+	0.863226i	$0.331560\pi$
$674$	0.644473	+	1.98348i	0.0248242	+	0.0764009i
$675$	7.79525	+	2.53283i	0.300039	+	0.0974887i
$676$	−2.03227	+	6.25468i	−0.0781642	+	0.240565i
$677$	−6.69819	+	20.6149i	−0.257432	+	0.792296i	0.735908	+	0.677081i	$0.236755\pi$
$677$	−6.69819	+	20.6149i	−0.257432	+	0.792296i	−0.993341	+	0.115214i	$0.963245\pi$
$678$	−15.3734	−	4.99511i	−0.590411	−	0.191836i
$679$	5.27487	+	16.2344i	0.202431	+	0.623018i
$680$	8.35273	−	11.4965i	0.320312	−	0.440872i
$681$	−2.29365	+	7.05913i	−0.0878929	+	0.270506i
$682$	−1.08768	−	1.49706i	−0.0416494	−	0.0573255i
$683$			24.1950i			0.925795i	0.886412	+	0.462897i	$0.153190\pi$
$683$			24.1950i			0.925795i	−0.886412	+	0.462897i	$0.846810\pi$
$684$	1.10652	−	0.359531i	0.0423090	−	0.0137470i
$685$	−41.2481	−	56.7732i	−1.57601	−	2.16919i
$686$	−0.876506	+	1.20641i	−0.0334652	+	0.0460609i
$687$	17.0853	+	12.4132i	0.651846	+	0.473594i
$688$	−33.9159			−1.29303
$689$	−4.32229	−	3.14033i	−0.164666	−	0.119637i
$690$	−59.3246	−	19.2757i	−2.25845	−	0.733814i
$691$	−5.33749	+	1.73426i	−0.203048	+	0.0659742i	−0.408775	−	0.912635i	$-0.634044\pi$
$691$	−5.33749	+	1.73426i	−0.203048	+	0.0659742i	0.205727	+	0.978609i	$0.434044\pi$
$692$	−2.46112	+	1.78811i	−0.0935577	+	0.0679737i
$693$	−1.47425	+	1.07111i	−0.0560022	+	0.0406880i
$694$		−	20.1648i		−	0.765446i
$695$	−14.6594	−	45.1168i	−0.556061	−	1.71138i
$696$	29.5234			1.11908
$697$	10.3559	+	1.59510i	0.392259	+	0.0604186i
$698$	7.79221			0.294939
$699$	5.66916	+	17.4479i	0.214427	+	0.659940i
$700$		−	1.28573i		−	0.0485959i
$701$	−15.9857	+	11.6143i	−0.603770	+	0.438665i	−0.847215	−	0.531250i	$-0.821722\pi$
$701$	−15.9857	+	11.6143i	−0.603770	+	0.438665i	0.243445	+	0.969915i	$0.421722\pi$
$702$	11.2019	−	8.13864i	0.422788	−	0.307173i
$703$	2.89778	−	0.941545i	0.109292	−	0.0355110i
$704$	−5.02468	−	1.63262i	−0.189375	−	0.0615316i
$705$	−65.6484	−	47.6964i	−2.47246	−	1.79635i
$706$	26.2952			0.989634
$707$	−7.50333	−	5.45149i	−0.282192	−	0.205024i
$708$	0.135111	−	0.185964i	0.00507778	−	0.00698896i
$709$	19.0879	+	26.2722i	0.716860	+	0.986673i	0.999622	+	0.0274828i	$0.00874915\pi$
$709$	19.0879	+	26.2722i	0.716860	+	0.986673i	−0.282763	+	0.959190i	$0.591251\pi$
$710$	−11.7587	+	3.82064i	−0.441297	+	0.143386i
$711$		−	37.5564i		−	1.40848i
$712$	0.430921	+	0.593111i	0.0161494	+	0.0222278i
$713$	−2.76004	+	8.49452i	−0.103364	+	0.318122i
$714$	3.32858	−	4.58139i	0.124569	−	0.171454i
$715$	5.03921	+	15.5091i	0.188456	+	0.580007i
$716$	0.794867	+	0.258268i	0.0297056	+	0.00965192i
$717$	−2.89773	+	8.91831i	−0.108218	+	0.333060i
$718$	10.7216	−	32.9976i	0.400125	−	1.23146i
$719$	−21.4455	−	6.96807i	−0.799782	−	0.259865i	−0.119518	−	0.992832i	$-0.538135\pi$
$719$	−21.4455	−	6.96807i	−0.799782	−	0.259865i	−0.680264	+	0.732967i	$0.738135\pi$
$720$	−10.6273	−	32.7074i	−0.396055	−	1.21893i
$721$	−8.62148	+	11.8665i	−0.321081	+	0.441930i
$722$	−6.56460	+	20.2038i	−0.244309	+	0.751907i
$723$	−1.61378	−	2.22117i	−0.0600171	−	0.0826064i
$724$		−	2.41309i		−	0.0896818i
$725$	26.2554	−	8.53089i	0.975100	−	0.316829i
$726$	21.1880	+	29.1628i	0.786362	+	1.08233i
$727$	17.8995	−	24.6366i	0.663857	−	0.913721i	−0.335744	−	0.941953i	$-0.608988\pi$
$727$	17.8995	−	24.6366i	0.663857	−	0.913721i	0.999601	+	0.0282324i	$0.00898786\pi$
$728$	13.9542	+	10.1383i	0.517176	+	0.375750i
$729$	15.0391			0.557002
$730$	51.5303	+	37.4389i	1.90722	+	1.38568i
$731$	−12.0035	−	3.90019i	−0.443967	−	0.144254i
$732$	5.41508	−	1.75947i	0.200147	−	0.0650317i
$733$	−9.55958	+	6.94544i	−0.353091	+	0.256536i	−0.750165	−	0.661251i	$-0.770026\pi$
$733$	−9.55958	+	6.94544i	−0.353091	+	0.256536i	0.397074	+	0.917787i	$0.370026\pi$
$734$	−13.4550	+	9.77564i	−0.496634	+	0.360826i
$735$			7.60814i			0.280630i
$736$	−2.14010	−	6.58654i	−0.0788850	−	0.242783i
$737$	2.15940			0.0795425
$738$	16.0378	−	16.1748i	0.590360	−	0.595404i
$739$	−12.4213			−0.456924			−0.228462	−	0.973553i	$-0.573370\pi$
$739$	−12.4213			−0.456924			−0.228462	+	0.973553i	$0.573370\pi$
$740$	0.316667	+	0.974601i	0.0116409	+	0.0358271i
$741$			32.9487i			1.21040i
$742$	0.989831	−	0.719155i	0.0363379	−	0.0264010i
$743$	−6.72529	+	4.88621i	−0.246727	+	0.179258i	−0.704275	−	0.709927i	$-0.748728\pi$
$743$	−6.72529	+	4.88621i	−0.246727	+	0.179258i	0.457548	+	0.889185i	$0.348728\pi$
$744$	−9.49723	+	3.08584i	−0.348185	+	0.113132i
$745$	−8.15623	−	2.65012i	−0.298821	−	0.0970929i
$746$	−36.7647	−	26.7111i	−1.34605	−	0.977963i
$747$	14.8816			0.544489
$748$	0.226207	+	0.164349i	0.00827095	+	0.00600920i
$749$	5.22910	−	7.19724i	0.191067	−	0.262982i
$750$	−4.98806	−	6.86548i	−0.182138	−	0.250692i
$751$	−18.3907	+	5.97550i	−0.671086	+	0.218049i	−0.624689	−	0.780874i	$-0.714774\pi$
$751$	−18.3907	+	5.97550i	−0.671086	+	0.218049i	−0.0463977	+	0.998923i	$0.514774\pi$
$752$		−	46.9005i		−	1.71029i
$753$	39.1413	+	53.8733i	1.42639	+	1.96325i
$754$	14.4113	−	44.3535i	0.524829	−	1.61526i
$755$	−22.2089	+	30.5679i	−0.808264	+	1.11248i
$756$	0.0985649	+	0.303352i	0.00358477	+	0.0110328i
$757$	5.59860	+	1.81909i	0.203485	+	0.0661161i	0.408986	−	0.912541i	$-0.365883\pi$
$757$	5.59860	+	1.81909i	0.203485	+	0.0661161i	−0.205501	+	0.978657i	$0.565883\pi$
$758$	0.0576299	−	0.177367i	0.00209321	−	0.00644224i
$759$	−3.01188	+	9.26961i	−0.109324	+	0.336465i
$760$	−18.0078	−	5.85110i	−0.653213	−	0.212242i
$761$	7.98916	+	24.5881i	0.289607	+	0.891319i	0.984980	+	0.172669i	$0.0552392\pi$
$761$	7.98916	+	24.5881i	0.289607	+	0.891319i	−0.695373	+	0.718649i	$0.744761\pi$
$762$	−31.6424	+	43.5521i	−1.14628	+	1.57772i
$763$	3.41783	−	10.5190i	0.123734	−	0.380814i
$764$	−1.13830	−	1.56674i	−0.0411824	−	0.0566827i
$765$		−	12.7979i		−	0.462710i
$766$	11.6334	−	3.77992i	0.420332	−	0.136574i
$767$	1.69486	+	2.33277i	0.0611977	+	0.0842314i
$768$	7.23462	−	9.95760i	0.261057	−	0.359314i
$769$	10.5838	+	7.68955i	0.381660	+	0.277292i	0.762029	−	0.647542i	$-0.224203\pi$
$769$	10.5838	+	7.68955i	0.381660	+	0.277292i	−0.380369	+	0.924835i	$0.624203\pi$
$770$	−3.73445			−0.134580
$771$	−52.7802	−	38.3471i	−1.90083	−	1.38104i
$772$	−4.15642	−	1.35050i	−0.149593	−	0.0486056i
$773$	5.45671	−	1.77299i	0.196264	−	0.0637701i	−0.209236	−	0.977865i	$-0.567098\pi$
$773$	5.45671	−	1.77299i	0.196264	−	0.0637701i	0.405500	+	0.914095i	$0.367098\pi$
$774$	−22.1970	+	16.1271i	−0.797856	+	0.579676i
$775$	−7.55428	+	5.48851i	−0.271358	+	0.197153i
$776$			45.2154i			1.62314i
$777$	−1.00212	−	3.08422i	−0.0359510	−	0.110646i
$778$	32.1844			1.15387
$779$	−2.24266	−	13.7800i	−0.0803517	−	0.493720i
$780$	−11.0816			−0.396783
$781$	0.596984	+	1.83733i	0.0213618	+	0.0657448i
$782$		−	13.4165i		−	0.479772i
$783$	−5.54065	+	4.02552i	−0.198007	+	0.143860i
$784$	−3.55752	+	2.58469i	−0.127054	+	0.0923102i
$785$	70.1150	−	22.7818i	2.50251	−	0.813116i
$786$	22.6630	+	7.36365i	0.808362	+	0.262653i
$787$	14.0590	+	10.2144i	0.501149	+	0.364106i	0.809456	−	0.587181i	$-0.199762\pi$
$787$	14.0590	+	10.2144i	0.501149	+	0.364106i	−0.308307	+	0.951287i	$0.599762\pi$
$788$	1.91871			0.0683512
$789$	−2.31064	−	1.67878i	−0.0822611	−	0.0597662i
$790$	45.2393	−	62.2665i	1.60954	−	2.21534i
$791$	2.74556	+	3.77894i	0.0976208	+	0.134364i
$792$	−4.59068	+	1.49160i	−0.163123	+	0.0530018i
$793$			71.4234i			2.53632i
$794$	−14.9796	−	20.6177i	−0.531607	−	0.731695i
$795$	1.92898	−	5.93679i	0.0684139	−	0.210556i
$796$	−3.42028	+	4.70762i	−0.121229	+	0.166857i
$797$	−0.106426	−	0.327544i	−0.00376979	−	0.0116022i	0.949154	−	0.314812i	$-0.101942\pi$
$797$	−0.106426	−	0.327544i	−0.00376979	−	0.0116022i	−0.952924	+	0.303210i	$0.901942\pi$
$798$	−7.17616	−	2.33167i	−0.254033	−	0.0825404i
$799$	5.39336	−	16.5991i	0.190803	−	0.587233i
$800$	2.23736	−	6.88589i	0.0791027	−	0.243453i
$801$	0.627935	+	0.204029i	0.0221870	+	0.00720899i
$802$	1.46551	+	4.51039i	0.0517491	+	0.159267i
$803$	5.84992	−	8.05173i	0.206439	−	0.284139i
$804$	−0.453457	+	1.39560i	−0.0159922	+	0.0492189i
$805$	10.5949	+	14.5826i	0.373420	+	0.513969i
$806$			15.7741i			0.555620i
$807$	44.1480	−	14.3445i	1.55408	−	0.504952i
$808$	−14.4402	−	19.8752i	−0.508003	−	0.699206i
$809$	−30.9784	+	42.6381i	−1.08914	+	1.49908i	−0.240102	+	0.970748i	$0.577181\pi$
$809$	−30.9784	+	42.6381i	−1.08914	+	1.49908i	−0.849040	+	0.528328i	$0.822819\pi$
$810$	41.3934	+	30.0741i	1.45442	+	1.05669i
$811$	16.2553			0.570802			0.285401	−	0.958408i	$-0.407873\pi$
$811$	16.2553			0.570802			0.285401	+	0.958408i	$0.407873\pi$
$812$	0.869132	+	0.631461i	0.0305005	+	0.0221599i
$813$	59.0237	+	19.1780i	2.07005	+	0.672601i
$814$	1.51389	−	0.491892i	0.0530618	−	0.0172408i
$815$	−1.74239	+	1.26592i	−0.0610333	+	0.0443433i
$816$	13.5098	−	9.81548i	0.472939	−	0.343610i
$817$			16.8170i			0.588352i
$818$	1.35750	+	4.17797i	0.0474640	+	0.146079i
$819$	15.5338			0.542793
$820$	4.63459	−	0.754268i	0.161847	−	0.0263402i
$821$	30.0221			1.04778			0.523890	−	0.851786i	$-0.324480\pi$
$821$	30.0221			1.04778			0.523890	+	0.851786i	$0.324480\pi$
$822$	−22.8905	−	70.4497i	−0.798398	−	2.45722i
$823$		−	9.78258i		−	0.340999i	−0.985358	−	0.170500i	$-0.945462\pi$
$823$		−	9.78258i		−	0.340999i	0.985358	−	0.170500i	$-0.0545382\pi$
$824$	−31.4324	+	22.8370i	−1.09500	+	0.795564i
$825$	−8.24358	+	5.98931i	−0.287004	+	0.208521i
$826$	−0.628011	+	0.204053i	−0.0218513	+	0.00709992i
$827$	−41.6218	−	13.5237i	−1.44733	−	0.470267i	−0.523157	−	0.852236i	$-0.675246\pi$
$827$	−41.6218	−	13.5237i	−1.44733	−	0.470267i	−0.924175	+	0.381969i	$0.875246\pi$
$828$	−2.37351	−	1.72445i	−0.0824851	−	0.0599289i
$829$	28.0293			0.973498			0.486749	−	0.873542i	$-0.338183\pi$
$829$	28.0293			0.973498			0.486749	+	0.873542i	$0.338183\pi$
$830$	24.6729	+	17.9259i	0.856410	+	0.622218i
$831$	32.3551	−	44.5329i	1.12238	−	1.54483i
$832$	26.4718	+	36.4353i	0.917745	+	1.26317i
$833$	−1.55631	+	0.505675i	−0.0539228	+	0.0175206i
$834$		−	50.0749i		−	1.73395i
$835$	−43.8187	−	60.3113i	−1.51641	−	2.08716i
$836$	0.115127	−	0.354324i	0.00398174	−	0.0122545i
$837$	1.36159	−	1.87406i	0.0470633	−	0.0647771i
$838$	7.45604	+	22.9473i	0.257565	+	0.792703i
$839$	−0.644427	−	0.209387i	−0.0222481	−	0.00722884i	0.297872	−	0.954606i	$-0.403723\pi$
$839$	−0.644427	−	0.209387i	−0.0222481	−	0.00722884i	−0.320120	+	0.947377i	$0.603723\pi$
$840$	−6.22756	+	19.1664i	−0.214871	+	0.661305i
$841$	1.83340	−	5.64263i	0.0632208	−	0.194574i
$842$	17.6099	+	5.72180i	0.606877	+	0.197186i
$843$	−15.6618	−	48.2022i	−0.539422	−	1.66017i
$844$	−2.50047	+	3.44160i	−0.0860698	+	0.118465i
$845$	29.7860	−	91.6719i	1.02467	−	3.15361i
$846$	−22.3013	−	30.6951i	−0.766735	−	1.05532i
$847$		−	10.4165i		−	0.357915i
$848$	3.43133	−	1.11491i	0.117832	−	0.0382861i
$849$	8.69547	+	11.9683i	0.298428	+	0.410751i
$850$	8.24442	−	11.3475i	0.282781	−	0.389215i
$851$	−6.21577	−	4.51602i	−0.213074	−	0.154807i
$852$	−1.31281			−0.0449760
$853$	35.6043	+	25.8680i	1.21907	+	0.885705i	0.996022	−	0.0891032i	$-0.0284001\pi$
$853$	35.6043	+	25.8680i	1.21907	+	0.885705i	0.223046	+	0.974808i	$0.428400\pi$
$854$	−15.5559	−	5.05441i	−0.532311	−	0.172958i
$855$	−16.2178	+	5.26948i	−0.554636	+	0.180212i
$856$	19.0644	−	13.8511i	0.651608	−	0.473421i
$857$	−0.490103	+	0.356081i	−0.0167416	+	0.0121635i	−0.596125	−	0.802892i	$-0.703294\pi$
$857$	−0.490103	+	0.356081i	−0.0167416	+	0.0121635i	0.579383	+	0.815055i	$0.303294\pi$
$858$			17.2134i			0.587657i
$859$	−5.93017	−	18.2512i	−0.202335	−	0.622722i	−0.999812	−	0.0193738i	$-0.993833\pi$
$859$	−5.93017	−	18.2512i	−0.202335	−	0.622722i	0.797478	−	0.603349i	$-0.206167\pi$
$860$	−5.65601			−0.192868
$861$	−14.6666	+	2.38695i	−0.499837	+	0.0813471i
$862$	−9.34878			−0.318421
$863$	4.22462	+	13.0020i	0.143808	+	0.442594i	0.996856	−	0.0792379i	$-0.0252487\pi$
$863$	4.22462	+	13.0020i	0.143808	+	0.442594i	−0.853048	+	0.521832i	$0.825249\pi$
$864$			1.79616i			0.0611066i
$865$	36.0715	−	26.2075i	1.22647	−	0.891080i
$866$	−19.0057	+	13.8084i	−0.645839	+	0.469230i
$867$	−31.6105	+	10.2709i	−1.07355	+	0.348817i
$868$	−0.345588	−	0.112288i	−0.0117300	−	0.00381131i
$869$	−9.72930	−	7.06875i	−0.330044	−	0.239791i
$870$	54.4892			1.84736
$871$	−14.8920	−	10.8197i	−0.504596	−	0.366611i
$872$	17.2204	−	23.7019i	0.583157	−	0.802647i
$873$	23.9351	+	32.9438i	0.810080	+	1.11498i
$874$	−17.0016	+	5.52416i	−0.575089	+	0.186858i
$875$			2.45224i			0.0829007i
$876$	3.97531	+	5.47154i	0.134313	+	0.184866i
$877$	12.4669	−	38.3692i	0.420978	−	1.29564i	−0.485815	−	0.874062i	$-0.661477\pi$
$877$	12.4669	−	38.3692i	0.420978	−	1.29564i	0.906793	−	0.421576i	$-0.138523\pi$
$878$	−13.2281	+	18.2070i	−0.446428	+	0.614455i
$879$	−16.4313	−	50.5704i	−0.554215	−	1.70570i
$880$	−10.4734	−	3.40300i	−0.353057	−	0.114715i
$881$	7.13804	−	21.9686i	0.240487	−	0.740142i	−0.755859	−	0.654734i	$-0.772781\pi$
$881$	7.13804	−	21.9686i	0.240487	−	0.740142i	0.996346	−	0.0854080i	$-0.0272194\pi$
$882$	−1.09927	+	3.38322i	−0.0370145	+	0.113919i
$883$	4.70348	+	1.52825i	0.158285	+	0.0514298i	0.387088	−	0.922043i	$-0.373481\pi$
$883$	4.70348	+	1.52825i	0.158285	+	0.0514298i	−0.228803	+	0.973473i	$0.573481\pi$
$884$	−0.736535	−	2.26682i	−0.0247724	−	0.0762415i
$885$	−1.98026	+	2.72559i	−0.0665656	+	0.0916197i
$886$	−2.79137	+	8.59094i	−0.0937778	+	0.288618i
$887$	6.12196	+	8.42616i	0.205555	+	0.282923i	0.899331	−	0.437268i	$-0.144054\pi$
$887$	6.12196	+	8.42616i	0.205555	+	0.282923i	−0.693776	+	0.720191i	$0.744054\pi$
$888$		−	8.59005i		−	0.288263i
$889$	14.7947	−	4.80709i	0.496198	−	0.161225i
$890$	0.795317	+	1.09466i	0.0266591	+	0.0366931i
$891$	4.69914	−	6.46782i	0.157427	−	0.216680i
$892$	−0.794004	−	0.576878i	−0.0265852	−	0.0193153i
$893$	−23.2553			−0.778210
$894$	−7.32366	−	5.32095i	−0.244940	−	0.177959i
$895$	−11.6500	−	3.78531i	−0.389416	−	0.126529i
$896$	−12.2048	+	3.96557i	−0.407733	+	0.132480i
$897$	67.2164	−	48.8356i	2.24429	−	1.63057i
$898$	18.7307	−	13.6086i	0.625051	−	0.454126i
$899$		−	7.80215i		−	0.260216i
$900$	−0.947803	−	2.91704i	−0.0315934	−	0.0972346i
$901$	1.34263			0.0447295
$902$	−1.17164	−	7.19911i	−0.0390112	−	0.239704i
$903$	17.8990			0.595641
$904$	3.82341	+	11.7673i	0.127165	+	0.391373i
$905$			35.3675i			1.17566i
$906$	−32.2666	+	23.4430i	−1.07199	+	0.778843i
$907$	−19.5137	+	14.1775i	−0.647941	+	0.470756i	−0.862569	−	0.505939i	$-0.831146\pi$
$907$	−19.5137	+	14.1775i	−0.647941	+	0.470756i	0.214628	+	0.976696i	$0.431146\pi$
$908$	−0.680407	+	0.221078i	−0.0225801	+	0.00733672i
$909$	−21.0421	−	6.83700i	−0.697923	−	0.226769i
$910$	25.7542	+	18.7115i	0.853742	+	0.620280i
$911$	33.2410			1.10132			0.550661	−	0.834729i	$-0.314376\pi$
$911$	33.2410			1.10132			0.550661	+	0.834729i	$0.314376\pi$
$912$	−18.0010	−	13.0785i	−0.596072	−	0.433071i
$913$	2.80097	−	3.85520i	0.0926986	−	0.127589i
$914$	−30.4609	−	41.9258i	−1.00756	−	1.38678i
$915$	−79.3663	+	25.7877i	−2.62377	+	0.852514i
$916$			2.03556i			0.0672568i
$917$	−4.04742	−	5.57080i	−0.133658	−	0.183964i
$918$	−1.07526	+	3.30932i	−0.0354890	+	0.109224i
$919$	−2.66193	+	3.66383i	−0.0878089	+	0.120859i	−0.850661	−	0.525714i	$-0.823798\pi$
$919$	−2.66193	+	3.66383i	−0.0878089	+	0.120859i	0.762852	+	0.646573i	$0.223798\pi$
$920$	14.7542	+	45.4088i	0.486432	+	1.49708i
$921$	−34.0584	−	11.0662i	−1.12226	−	0.364645i
$922$	−16.8885	+	51.9774i	−0.556192	+	1.71178i
$923$	5.08892	−	15.6621i	0.167504	−	0.515524i
$924$	−0.377121	−	0.122534i	−0.0124064	−	0.00403107i
$925$	−2.48212	−	7.63918i	−0.0816116	−	0.251175i
$926$	−6.11910	+	8.42221i	−0.201086	+	0.276771i
$927$	−10.8127	+	33.2779i	−0.355134	+	1.09299i
$928$	3.55592	+	4.89430i	0.116729	+	0.160663i
$929$			35.4234i			1.16220i	0.813831	+	0.581102i	$0.197378\pi$
$929$			35.4234i			1.16220i	−0.813831	+	0.581102i	$0.802622\pi$
$930$	−17.5283	+	5.69530i	−0.574776	+	0.186756i
$931$	1.28160	+	1.76397i	0.0420028	+	0.0578119i
$932$	−1.03938	+	1.43058i	−0.0340459	+	0.0468602i
$933$	−41.3738	−	30.0598i	−1.35452	−	0.984114i
$934$	−41.0274			−1.34246
$935$	−3.31541	−	2.40879i	−0.108425	−	0.0787757i
$936$	39.1327	+	12.7150i	1.27909	+	0.415602i
$937$	−24.2455	+	7.87782i	−0.792064	+	0.257357i	−0.676983	−	0.735999i	$-0.736713\pi$
$937$	−24.2455	+	7.87782i	−0.792064	+	0.257357i	−0.115081	+	0.993356i	$0.536713\pi$
$938$	3.41036	−	2.47777i	0.111352	−	0.0809021i
$939$	17.8740	−	12.9862i	0.583294	−	0.423788i
$940$		−	7.82140i		−	0.255106i
$941$	−11.9978	−	36.9255i	−0.391118	−	1.20374i	−0.931944	−	0.362602i	$-0.881888\pi$
$941$	−11.9978	−	36.9255i	−0.391118	−	1.20374i	0.540826	−	0.841134i	$-0.318112\pi$
$942$	77.8202			2.53552
$943$	−24.7876	+	24.9994i	−0.807197	+	0.814092i
$944$	−1.94721			−0.0633764
$945$	−1.44462	−	4.44608i	−0.0469935	−	0.144631i
$946$			8.78572i			0.285648i
$947$	2.47047	−	1.79490i	0.0802796	−	0.0583265i	−0.546922	−	0.837184i	$-0.684200\pi$
$947$	2.47047	−	1.79490i	0.0802796	−	0.0583265i	0.627201	+	0.778857i	$0.284200\pi$
$948$	6.61153	−	4.80356i	0.214733	−	0.156012i
$949$	−80.6864	+	26.2166i	−2.61919	+	0.851027i
$950$	−17.7743	−	5.77523i	−0.576676	−	0.187373i
$951$	−24.8060	−	18.0226i	−0.804390	−	0.584424i
$952$	−4.33457			−0.140484
$953$	−9.46315	−	6.87538i	−0.306542	−	0.222716i	0.423870	−	0.905723i	$-0.360672\pi$
$953$	−9.46315	−	6.87538i	−0.306542	−	0.222716i	−0.730411	+	0.683008i	$0.760672\pi$
$954$	1.71557	−	2.36128i	0.0555437	−	0.0764494i
$955$	16.6836	+	22.9630i	0.539868	+	0.743065i
$956$	−0.859608	+	0.279304i	−0.0278017	+	0.00903332i
$957$		−	8.51407i		−	0.275221i
$958$	−1.42428	−	1.96035i	−0.0460163	−	0.0633360i
$959$	−6.61461	+	20.3577i	−0.213597	+	0.657383i
$960$	−30.9295	+	42.5708i	−0.998244	+	1.37397i
$961$	−8.76403	−	26.9729i	−0.282711	−	0.870094i
$962$	−12.9050	−	4.19307i	−0.416072	−	0.135190i
$963$	6.55810	−	20.1837i	0.211332	−	0.650412i
$964$	0.0817759	−	0.251680i	0.00263383	−	0.00810608i
$965$	60.9186	+	19.7937i	1.96104	+	0.637181i
$966$	5.87959	+	18.0955i	0.189173	+	0.582213i
$967$	−8.73912	+	12.0284i	−0.281031	+	0.386806i	−0.926075	−	0.377339i	$-0.876839\pi$
$967$	−8.73912	+	12.0284i	−0.281031	+	0.386806i	0.645044	+	0.764146i	$0.276839\pi$
$968$	8.52630	−	26.2412i	0.274046	−	0.843425i
$969$	−4.86695	−	6.69878i	−0.156349	−	0.215196i
$970$			83.4506i			2.67944i
$971$	46.6498	−	15.1574i	1.49706	−	0.486425i	0.557903	−	0.829906i	$-0.311606\pi$
$971$	46.6498	−	15.1574i	1.49706	−	0.486425i	0.939160	+	0.343481i	$0.111606\pi$
$972$	2.63085	+	3.62106i	0.0843846	+	0.116145i
$973$	−8.50525	+	11.7065i	−0.272666	+	0.375292i
$974$	20.0885	+	14.5951i	0.643676	+	0.467658i
$975$	86.8601			2.78175
$976$	−39.0210	−	28.3504i	−1.24903	−	0.907474i
$977$	11.5661	+	3.75804i	0.370031	+	0.120230i	0.488129	−	0.872772i	$-0.337680\pi$
$977$	11.5661	+	3.75804i	0.370031	+	0.120230i	−0.118098	+	0.993002i	$0.537680\pi$
$978$	−2.16213	+	0.702519i	−0.0691373	+	0.0224641i
$979$	0.171043	−	0.124270i	0.00546657	−	0.00397170i
$980$	−0.593272	+	0.431037i	−0.0189514	+	0.0137690i
$981$		−	26.3849i		−	0.842405i
$982$	−4.48891	−	13.8154i	−0.143247	−	0.440868i
$983$	−52.3662			−1.67022			−0.835110	−	0.550082i	$-0.814596\pi$
$983$	−52.3662			−1.67022			−0.835110	+	0.550082i	$0.814596\pi$
$984$	−38.9020	−	5.99198i	−1.24015	−	0.191017i
$985$	−28.1216			−0.896030
$986$	3.62162	+	11.1462i	0.115336	+	0.354967i
$987$			24.7516i			0.787852i
$988$	−2.56930	+	1.86670i	−0.0817402	+	0.0593877i
$989$	34.3072	−	24.9256i	1.09090	−	0.792589i
$990$	−8.47267	+	2.75294i	−0.269279	+	0.0874941i
$991$	−18.8441	−	6.12283i	−0.598603	−	0.194498i	−0.00598589	−	0.999982i	$-0.501905\pi$
$991$	−18.8441	−	6.12283i	−0.598603	−	0.194498i	−0.592617	+	0.805484i	$0.701905\pi$
$992$	−1.65544	−	1.20275i	−0.0525604	−	0.0381873i
$993$	42.0580			1.33467
$994$	3.05104	+	2.21671i	0.0967731	+	0.0703098i
$995$	50.1295	−	68.9973i	1.58921	−	2.18736i
$996$	1.90339	+	2.61980i	0.0603114	+	0.0830115i
$997$	−9.49763	+	3.08597i	−0.300793	+	0.0977336i	−0.455525	−	0.890223i	$-0.650549\pi$
$997$	−9.49763	+	3.08597i	−0.300793	+	0.0977336i	0.154732	+	0.987956i	$0.450549\pi$
$998$			52.3246i			1.65631i
$999$	1.17125	+	1.61209i	0.0370568	+	0.0510043i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.6	✓	88
41.25	even	10	inner	287.2.n.a.148.6	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.6	✓	88	1.1	even	1	trivial
287.2.n.a.148.6	yes	88	41.25	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.460807 - 1.41822i) q^{2} +2.32068i q^{3} +(-0.180963 + 0.131477i) q^{4} +(2.65229 - 1.92700i) q^{5} +(3.29122 - 1.06938i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-2.14296 - 1.55695i) q^{8} -2.38554 q^{9} +O(q^{10})\)	\(q+(-0.460807 - 1.41822i) q^{2} +2.32068i q^{3} +(-0.180963 + 0.131477i) q^{4} +(2.65229 - 1.92700i) q^{5} +(3.29122 - 1.06938i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-2.14296 - 1.55695i) q^{8} -2.38554 q^{9} +(-3.95510 - 2.87355i) q^{10} +(-0.448999 + 0.617994i) q^{11} +(-0.305117 - 0.419957i) q^{12} +(6.19293 - 2.01220i) q^{13} +1.49120i q^{14} +(4.47195 + 6.15511i) q^{15} +(-1.35885 + 4.18211i) q^{16} +(-0.961850 + 1.32387i) q^{17} +(1.09927 + 3.38322i) q^{18} +(2.07368 + 0.673778i) q^{19} +(-0.226610 + 0.697433i) q^{20} +(0.717129 - 2.20709i) q^{21} +(1.08335 + 0.352002i) q^{22} +(-1.69901 - 5.22901i) q^{23} +(3.61319 - 4.97312i) q^{24} +(1.77623 - 5.46667i) q^{25} +(-5.70748 - 7.85568i) q^{26} +1.42596i q^{27} +(0.212735 - 0.0691218i) q^{28} +(2.82302 + 3.88555i) q^{29} +(6.66858 - 9.17852i) q^{30} +(-1.31425 - 0.954856i) q^{31} +1.25961 q^{32} +(-1.43417 - 1.04198i) q^{33} +(2.32077 + 0.754063i) q^{34} +(-3.11796 + 1.01309i) q^{35} +(0.431695 - 0.313645i) q^{36} +(1.13053 - 0.821378i) q^{37} -3.25140i q^{38} +(4.66967 + 14.3718i) q^{39} -8.68402 q^{40} +(-2.93120 - 5.69281i) q^{41} -3.46060 q^{42} +(2.38340 + 7.33534i) q^{43} -0.170868i q^{44} +(-6.32715 + 4.59695i) q^{45} +(-6.63296 + 4.81913i) q^{46} +(-10.1437 + 3.29587i) q^{47} +(-9.70533 - 3.15345i) q^{48} +(0.809017 + 0.587785i) q^{49} -8.57142 q^{50} +(-3.07228 - 2.23214i) q^{51} +(-0.856132 + 1.17836i) q^{52} +(-0.482265 - 0.663781i) q^{53} +(2.02232 - 0.657092i) q^{54} +2.50432i q^{55} +(1.55695 + 2.14296i) q^{56} +(-1.56362 + 4.81233i) q^{57} +(4.20969 - 5.79415i) q^{58} +(0.136838 + 0.421144i) q^{59} +(-1.61852 - 0.525888i) q^{60} +(-3.38948 + 10.4318i) q^{61} +(-0.748579 + 2.30389i) q^{62} +(2.26878 + 0.737173i) q^{63} +(2.13726 + 6.57782i) q^{64} +(12.5479 - 17.2707i) q^{65} +(-0.816884 + 2.51411i) q^{66} +(-1.66159 - 2.28699i) q^{67} -0.366034i q^{68} +(12.1348 - 3.94285i) q^{69} +(2.87355 + 3.95510i) q^{70} +(1.48653 - 2.04603i) q^{71} +(5.11213 + 3.71418i) q^{72} -13.0288 q^{73} +(-1.68585 - 1.22484i) q^{74} +(12.6864 + 4.12205i) q^{75} +(-0.463846 + 0.150713i) q^{76} +(0.617994 - 0.448999i) q^{77} +(18.2305 - 13.2452i) q^{78} +15.7433i q^{79} +(4.45487 + 13.7107i) q^{80} -10.4658 q^{81} +(-6.72293 + 6.78036i) q^{82} -6.23825 q^{83} +(0.160409 + 0.493689i) q^{84} +5.36479i q^{85} +(9.30482 - 6.76035i) q^{86} +(-9.01712 + 6.55132i) q^{87} +(1.92438 - 0.625268i) q^{88} +(-0.263226 - 0.0855272i) q^{89} +(9.43506 + 6.85497i) q^{90} -6.51163 q^{91} +(0.994955 + 0.722877i) q^{92} +(2.21591 - 3.04994i) q^{93} +(9.34853 + 12.8672i) q^{94} +(6.79836 - 2.20892i) q^{95} +2.92316i q^{96} +(-10.0334 - 13.8098i) q^{97} +(0.460807 - 1.41822i) q^{98} +(1.07111 - 1.47425i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

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