LMFDB - Embedded newform 287.2.n.a.64.2

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			64.2
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.790312 - 2.43233i) q^{2} -2.98213i q^{3} +(-3.67361 + 2.66903i) q^{4} +(-2.37875 + 1.72826i) q^{5} +(-7.25354 + 2.35682i) q^{6} +(0.951057 + 0.309017i) q^{7} +(5.25714 + 3.81954i) q^{8} -5.89312 q^{9} +O(q^{10})$	\(q+(-0.790312 - 2.43233i) q^{2} -2.98213i q^{3} +(-3.67361 + 2.66903i) q^{4} +(-2.37875 + 1.72826i) q^{5} +(-7.25354 + 2.35682i) q^{6} +(0.951057 + 0.309017i) q^{7} +(5.25714 + 3.81954i) q^{8} -5.89312 q^{9} +(6.08367 + 4.42004i) q^{10} +(2.90454 - 3.99776i) q^{11} +(7.95941 + 10.9552i) q^{12} +(-3.70277 + 1.20310i) q^{13} -2.55750i q^{14} +(5.15391 + 7.09375i) q^{15} +(2.32921 - 7.16857i) q^{16} +(-1.84233 + 2.53575i) q^{17} +(4.65741 + 14.3340i) q^{18} +(-3.85381 - 1.25218i) q^{19} +(4.12581 - 12.6979i) q^{20} +(0.921530 - 2.83618i) q^{21} +(-12.0194 - 3.90533i) q^{22} +(-0.643416 - 1.98023i) q^{23} +(11.3904 - 15.6775i) q^{24} +(1.12648 - 3.46694i) q^{25} +(5.85269 + 8.05553i) q^{26} +8.62768i q^{27} +(-4.31859 + 1.40319i) q^{28} +(-5.16039 - 7.10266i) q^{29} +(13.1812 - 18.1423i) q^{30} +(4.05030 + 2.94272i) q^{31} -6.28077 q^{32} +(-11.9219 - 8.66173i) q^{33} +(7.62380 + 2.47712i) q^{34} +(-2.79639 + 0.908602i) q^{35} +(21.6490 - 15.7289i) q^{36} +(-7.10442 + 5.16167i) q^{37} +10.3633i q^{38} +(3.58781 + 11.0421i) q^{39} -19.1066 q^{40} +(4.82890 - 4.20496i) q^{41} -7.62682 q^{42} +(-0.952811 - 2.93245i) q^{43} +22.4385i q^{44} +(14.0183 - 10.1849i) q^{45} +(-4.30808 + 3.13000i) q^{46} +(1.41614 - 0.460133i) q^{47} +(-21.3776 - 6.94601i) q^{48} +(0.809017 + 0.587785i) q^{49} -9.32301 q^{50} +(7.56195 + 5.49408i) q^{51} +(10.3914 - 14.3025i) q^{52} +(2.70593 + 3.72440i) q^{53} +(20.9854 - 6.81856i) q^{54} +14.5295i q^{55} +(3.81954 + 5.25714i) q^{56} +(-3.73416 + 11.4926i) q^{57} +(-13.1977 + 18.1651i) q^{58} +(-2.11710 - 6.51576i) q^{59} +(-37.8669 - 12.3037i) q^{60} +(-3.41213 + 10.5015i) q^{61} +(3.95666 - 12.1773i) q^{62} +(-5.60469 - 1.82107i) q^{63} +(0.305350 + 0.939772i) q^{64} +(6.72868 - 9.26124i) q^{65} +(-11.6462 + 35.8434i) q^{66} +(-5.56973 - 7.66608i) q^{67} -14.2326i q^{68} +(-5.90531 + 1.91875i) q^{69} +(4.42004 + 6.08367i) q^{70} +(3.05576 - 4.20590i) q^{71} +(-30.9810 - 22.5090i) q^{72} -3.55729 q^{73} +(18.1696 + 13.2010i) q^{74} +(-10.3389 - 3.35930i) q^{75} +(17.4995 - 5.68592i) q^{76} +(3.99776 - 2.90454i) q^{77} +(24.0227 - 17.4535i) q^{78} -12.5090i q^{79} +(6.84857 + 21.0777i) q^{80} +8.04952 q^{81} +(-14.0442 - 8.42225i) q^{82} -7.27928 q^{83} +(4.18451 + 12.8786i) q^{84} -9.21595i q^{85} +(-6.37967 + 4.63510i) q^{86} +(-21.1811 + 15.3890i) q^{87} +(30.5392 - 9.92278i) q^{88} +(-0.665387 - 0.216197i) q^{89} +(-35.8518 - 26.0479i) q^{90} -3.89332 q^{91} +(7.64896 + 5.55729i) q^{92} +(8.77557 - 12.0785i) q^{93} +(-2.23839 - 3.08088i) q^{94} +(11.3313 - 3.68177i) q^{95} +18.7301i q^{96} +(-1.39979 - 1.92665i) q^{97} +(0.790312 - 2.43233i) q^{98} +(-17.1168 + 23.5593i) 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 $

$2$	−0.790312	−	2.43233i	−0.558835	−	1.71992i	−0.685594	−	0.727984i	$-0.740457\pi$
$2$	−0.790312	−	2.43233i	−0.558835	−	1.71992i	0.126758	−	0.991934i	$-0.459543\pi$
$3$		−	2.98213i		−	1.72174i	−0.508829	−	0.860868i	$-0.669921\pi$
$3$		−	2.98213i		−	1.72174i	0.508829	−	0.860868i	$-0.330079\pi$
$4$	−3.67361	+	2.66903i	−1.83680	+	1.33452i
$5$	−2.37875	+	1.72826i	−1.06381	+	0.772903i	−0.974789	−	0.223127i	$-0.928374\pi$
$5$	−2.37875	+	1.72826i	−1.06381	+	0.772903i	−0.0890205	+	0.996030i	$0.528374\pi$
$6$	−7.25354	+	2.35682i	−2.96124	+	0.962167i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	5.25714	+	3.81954i	1.85868	+	1.35041i
$9$	−5.89312			−1.96437
$10$	6.08367	+	4.42004i	1.92382	+	1.39774i
$11$	2.90454	−	3.99776i	0.875752	−	1.20537i	−0.101827	−	0.994802i	$-0.532469\pi$
$11$	2.90454	−	3.99776i	0.875752	−	1.20537i	0.977579	−	0.210568i	$-0.0675312\pi$
$12$	7.95941	+	10.9552i	2.29768	+	3.16249i
$13$	−3.70277	+	1.20310i	−1.02696	+	0.333680i	−0.773589	−	0.633688i	$-0.781540\pi$
$13$	−3.70277	+	1.20310i	−1.02696	+	0.333680i	−0.253374	+	0.967368i	$0.581540\pi$
$14$		−	2.55750i		−	0.683522i
$15$	5.15391	+	7.09375i	1.33073	+	1.83160i
$16$	2.32921	−	7.16857i	0.582302	−	1.79214i
$17$	−1.84233	+	2.53575i	−0.446831	+	0.615010i	−0.971713	−	0.236165i	$-0.924109\pi$
$17$	−1.84233	+	2.53575i	−0.446831	+	0.615010i	0.524882	+	0.851175i	$0.324109\pi$
$18$	4.65741	+	14.3340i	1.09776	+	3.37856i
$19$	−3.85381	−	1.25218i	−0.884124	−	0.287269i	−0.168455	−	0.985709i	$-0.553878\pi$
$19$	−3.85381	−	1.25218i	−0.884124	−	0.287269i	−0.715668	+	0.698440i	$0.753878\pi$
$20$	4.12581	−	12.6979i	0.922559	−	2.83934i
$21$	0.921530	−	2.83618i	0.201094	−	0.618905i
$22$	−12.0194	−	3.90533i	−2.56254	−	0.832619i
$23$	−0.643416	−	1.98023i	−0.134161	−	0.412906i	0.861297	−	0.508102i	$-0.169653\pi$
$23$	−0.643416	−	1.98023i	−0.134161	−	0.412906i	−0.995459	+	0.0951950i	$0.969653\pi$
$24$	11.3904	−	15.6775i	2.32505	−	3.20016i
$25$	1.12648	−	3.46694i	0.225295	−	0.693388i
$26$	5.85269	+	8.05553i	1.14781	+	1.57982i
$27$			8.62768i			1.66040i
$28$	−4.31859	+	1.40319i	−0.816136	+	0.265179i
$29$	−5.16039	−	7.10266i	−0.958259	−	1.31893i	−0.947759	−	0.318986i	$-0.896658\pi$
$29$	−5.16039	−	7.10266i	−0.958259	−	1.31893i	−0.0105001	−	0.999945i	$-0.503342\pi$
$30$	13.1812	−	18.1423i	2.40654	−	3.31232i
$31$	4.05030	+	2.94272i	0.727456	+	0.528527i	0.888757	−	0.458378i	$-0.151569\pi$
$31$	4.05030	+	2.94272i	0.727456	+	0.528527i	−0.161302	+	0.986905i	$0.551569\pi$
$32$	−6.28077			−1.11029
$33$	−11.9219	−	8.66173i	−2.07533	−	1.50781i
$34$	7.62380	+	2.47712i	1.30747	+	0.424823i
$35$	−2.79639	+	0.908602i	−0.472676	+	0.153582i
$36$	21.6490	−	15.7289i	3.60817	−	2.62149i
$37$	−7.10442	+	5.16167i	−1.16796	+	0.848573i	−0.990763	−	0.135603i	$-0.956703\pi$
$37$	−7.10442	+	5.16167i	−1.16796	+	0.848573i	−0.177197	+	0.984175i	$0.556703\pi$
$38$			10.3633i			1.68116i
$39$	3.58781	+	11.0421i	0.574510	+	1.76816i
$40$	−19.1066			−3.02102
$41$	4.82890	−	4.20496i	0.754148	−	0.656705i
$41$	4.82890	−	4.20496i	0.754148	−	0.656705i
$42$	−7.62682			−1.17684
$43$	−0.952811	−	2.93245i	−0.145302	−	0.447194i	0.851747	−	0.523953i	$-0.175543\pi$
$43$	−0.952811	−	2.93245i	−0.145302	−	0.447194i	−0.997050	+	0.0767581i	$0.975543\pi$
$44$			22.4385i			3.38273i
$45$	14.0183	−	10.1849i	2.08972	−	1.51827i
$46$	−4.30808	+	3.13000i	−0.635191	+	0.461493i
$47$	1.41614	−	0.460133i	0.206566	−	0.0671172i	−0.203907	−	0.978990i	$-0.565364\pi$
$47$	1.41614	−	0.460133i	0.206566	−	0.0671172i	0.410472	+	0.911873i	$0.365364\pi$
$48$	−21.3776	−	6.94601i	−3.08560	−	1.00257i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	−9.32301			−1.31847
$51$	7.56195	+	5.49408i	1.05888	+	0.769325i
$52$	10.3914	−	14.3025i	1.44103	−	1.98340i
$53$	2.70593	+	3.72440i	0.371689	+	0.511586i	0.953359	−	0.301839i	$-0.0976005\pi$
$53$	2.70593	+	3.72440i	0.371689	+	0.511586i	−0.581670	+	0.813425i	$0.697601\pi$
$54$	20.9854	−	6.81856i	2.85575	−	0.927888i
$55$			14.5295i			1.95916i
$56$	3.81954	+	5.25714i	0.510407	+	0.702515i
$57$	−3.73416	+	11.4926i	−0.494602	+	1.52223i
$58$	−13.1977	+	18.1651i	−1.73294	+	2.38519i
$59$	−2.11710	−	6.51576i	−0.275623	−	0.848280i	−0.989054	−	0.147555i	$-0.952860\pi$
$59$	−2.11710	−	6.51576i	−0.275623	−	0.848280i	0.713431	−	0.700726i	$-0.247140\pi$
$60$	−37.8669	−	12.3037i	−4.88860	−	1.58840i
$61$	−3.41213	+	10.5015i	−0.436878	+	1.34457i	0.454271	+	0.890864i	$0.349900\pi$
$61$	−3.41213	+	10.5015i	−0.436878	+	1.34457i	−0.891149	+	0.453710i	$0.850100\pi$
$62$	3.95666	−	12.1773i	0.502496	−	1.54652i
$63$	−5.60469	−	1.82107i	−0.706125	−	0.229434i
$64$	0.305350	+	0.939772i	0.0381688	+	0.117472i
$65$	6.72868	−	9.26124i	0.834591	−	1.14872i
$66$	−11.6462	+	35.8434i	−1.43355	+	4.41201i
$67$	−5.56973	−	7.66608i	−0.680451	−	0.936561i	0.319488	−	0.947590i	$-0.396489\pi$
$67$	−5.56973	−	7.66608i	−0.680451	−	0.936561i	−0.999939	+	0.0110295i	$0.996489\pi$
$68$		−	14.2326i		−	1.72596i
$69$	−5.90531	+	1.91875i	−0.710916	+	0.230991i
$70$	4.42004	+	6.08367i	0.528296	+	0.727137i
$71$	3.05576	−	4.20590i	0.362652	−	0.499148i	−0.588233	−	0.808692i	$-0.700176\pi$
$71$	3.05576	−	4.20590i	0.362652	−	0.499148i	0.950885	+	0.309543i	$0.100176\pi$
$72$	−30.9810	−	22.5090i	−3.65114	−	2.65271i
$73$	−3.55729			−0.416349			−0.208175	−	0.978092i	$-0.566752\pi$
$73$	−3.55729			−0.416349			−0.208175	+	0.978092i	$0.566752\pi$
$74$	18.1696	+	13.2010i	2.11217	+	1.53458i
$75$	−10.3389	−	3.35930i	−1.19383	−	0.387899i
$76$	17.4995	−	5.68592i	2.00733	−	0.652220i
$77$	3.99776	−	2.90454i	0.455587	−	0.331003i
$78$	24.0227	−	17.4535i	2.72003	−	1.97622i
$79$		−	12.5090i		−	1.40737i	−0.710510	−	0.703687i	$-0.751536\pi$
$79$		−	12.5090i		−	1.40737i	0.710510	−	0.703687i	$-0.248464\pi$
$80$	6.84857	+	21.0777i	0.765693	+	2.35656i
$81$	8.04952			0.894391
$82$	−14.0442	−	8.42225i	−1.55092	−	0.930082i
$83$	−7.27928			−0.799005			−0.399502	−	0.916732i	$-0.630817\pi$
$83$	−7.27928			−0.799005			−0.399502	+	0.916732i	$0.630817\pi$
$84$	4.18451	+	12.8786i	0.456568	+	1.40517i
$85$		−	9.21595i		−	0.999611i
$86$	−6.37967	+	4.63510i	−0.687938	+	0.499816i
$87$	−21.1811	+	15.3890i	−2.27085	+	1.64987i
$88$	30.5392	−	9.92278i	3.25549	−	1.05777i
$89$	−0.665387	−	0.216197i	−0.0705308	−	0.0229169i	0.273539	−	0.961861i	$-0.411806\pi$
$89$	−0.665387	−	0.216197i	−0.0705308	−	0.0229169i	−0.344070	+	0.938944i	$0.611806\pi$
$90$	−35.8518	−	26.0479i	−3.77911	−	2.74568i
$91$	−3.89332			−0.408131
$92$	7.64896	+	5.55729i	0.797459	+	0.579388i
$93$	8.77557	−	12.0785i	0.909985	−	1.25249i
$94$	−2.23839	−	3.08088i	−0.230872	−	0.317768i
$95$	11.3313	−	3.68177i	1.16257	−	0.377742i
$96$			18.7301i			1.91163i
$97$	−1.39979	−	1.92665i	−0.142127	−	0.195621i	0.732019	−	0.681284i	$-0.238578\pi$
$97$	−1.39979	−	1.92665i	−0.142127	−	0.195621i	−0.874146	+	0.485663i	$0.838578\pi$
$98$	0.790312	−	2.43233i	0.0798336	−	0.245703i
$99$	−17.1168	+	23.5593i	−1.72031	+	2.36780i
$100$	5.11514	+	15.7428i	0.511514	+	1.57428i
$101$	−2.53528	−	0.823761i	−0.252269	−	0.0819673i	0.180152	−	0.983639i	$-0.442341\pi$
$101$	−2.53528	−	0.823761i	−0.252269	−	0.0819673i	−0.432422	+	0.901671i	$0.642341\pi$
$102$	7.38711	−	22.7352i	0.731433	−	2.25112i
$103$	−1.23021	+	3.78619i	−0.121216	+	0.373065i	−0.993193	−	0.116483i	$-0.962838\pi$
$103$	−1.23021	+	3.78619i	−0.121216	+	0.373065i	0.871977	+	0.489548i	$0.162838\pi$
$104$	−24.0613	−	7.81798i	−2.35940	−	0.766616i
$105$	2.70957	+	8.33921i	0.264427	+	0.813823i
$106$	6.92044	−	9.52517i	0.672173	−	0.925166i
$107$	2.73181	−	8.40764i	0.264094	−	0.812798i	−0.727807	−	0.685782i	$-0.759460\pi$
$107$	2.73181	−	8.40764i	0.264094	−	0.812798i	0.991901	−	0.127015i	$-0.0405397\pi$
$108$	−23.0276	−	31.6947i	−2.21583	−	3.04982i
$109$		−	4.61826i		−	0.442349i	−0.975234	−	0.221175i	$-0.929011\pi$
$109$		−	4.61826i		−	0.442349i	0.975234	−	0.221175i	$-0.0709891\pi$
$110$	35.3405	−	11.4828i	3.36959	−	1.09485i
$111$	15.3928	+	21.1863i	1.46102	+	2.01092i
$112$	4.43042	−	6.09795i	0.418635	−	0.576202i
$113$	6.23744	+	4.53176i	0.586769	+	0.426312i	0.841158	−	0.540790i	$-0.181874\pi$
$113$	6.23744	+	4.53176i	0.586769	+	0.426312i	−0.254389	+	0.967102i	$0.581874\pi$
$114$	30.9049			2.89451
$115$	4.95289	+	3.59848i	0.461859	+	0.335560i
$116$	37.9145	+	12.3192i	3.52027	+	1.14381i
$117$	21.8209	−	7.09003i	2.01734	−	0.655473i
$118$	−14.1753	+	10.2990i	−1.30494	+	0.948098i
$119$	−2.53575	+	1.84233i	−0.232452	+	0.168886i
$120$			56.9784i			5.20140i
$121$	−4.14653	−	12.7617i	−0.376957	−	1.16015i
$122$	28.2397			2.55670
$123$	−12.5398	−	14.4004i	−1.13067	−	1.29844i
$124$	−22.7334			−2.04152
$125$	−1.23083	−	3.78812i	−0.110089	−	0.338819i
$126$			15.0717i			1.34269i
$127$	−2.79408	+	2.03002i	−0.247934	+	0.180135i	−0.704811	−	0.709395i	$-0.748968\pi$
$127$	−2.79408	+	2.03002i	−0.247934	+	0.180135i	0.456876	+	0.889530i	$0.348968\pi$
$128$	−8.11798	+	5.89806i	−0.717535	+	0.521320i
$129$	−8.74496	+	2.84141i	−0.769951	+	0.250172i
$130$	−27.8442	−	9.04712i	−2.44209	−	0.793485i
$131$	−14.5691	−	10.5851i	−1.27291	−	0.924822i	−0.273594	−	0.961845i	$-0.588212\pi$
$131$	−14.5691	−	10.5851i	−1.27291	−	0.924822i	−0.999314	+	0.0370236i	$0.988212\pi$
$132$	66.9147			5.82418
$133$	−3.27824	−	2.38178i	−0.284260	−	0.206527i
$134$	−14.2446	+	19.6060i	−1.23055	+	1.69370i
$135$	−14.9109	−	20.5231i	−1.28333	−	1.76635i
$136$	−19.3708	+	6.29395i	−1.66103	+	0.539702i
$137$		−	7.92370i		−	0.676967i	−0.940972	−	0.338483i	$-0.890086\pi$
$137$		−	7.92370i		−	0.676967i	0.940972	−	0.338483i	$-0.109914\pi$
$138$	9.33408	+	12.8473i	0.794570	+	1.09363i
$139$	−4.02312	+	12.3819i	−0.341237	+	1.05022i	0.622331	+	0.782754i	$0.286186\pi$
$139$	−4.02312	+	12.3819i	−0.341237	+	1.05022i	−0.963568	+	0.267464i	$0.913814\pi$
$140$	7.84775	−	10.8015i	0.663256	−	0.912894i
$141$	−1.37218	−	4.22313i	−0.115558	−	0.355651i
$142$	−12.6451	−	4.10866i	−1.06116	−	0.344791i
$143$	−5.94513	+	18.2972i	−0.497157	+	1.53009i
$144$	−13.7263	+	42.2452i	−1.14386	+	3.52044i
$145$	24.5505	+	7.97696i	2.03881	+	0.662450i
$146$	2.81137	+	8.65251i	0.232671	+	0.716087i
$147$	1.75285	−	2.41260i	0.144573	−	0.198988i
$148$	12.3222	−	37.9239i	1.01288	−	3.11732i
$149$	12.1302	+	16.6958i	0.993746	+	1.36777i	0.929085	+	0.369866i	$0.120597\pi$
$149$	12.1302	+	16.6958i	0.993746	+	1.36777i	0.0646609	+	0.997907i	$0.479403\pi$
$150$			27.8025i			2.27006i
$151$	15.6104	−	5.07214i	1.27036	−	0.412765i	0.405185	−	0.914235i	$-0.367207\pi$
$151$	15.6104	−	5.07214i	1.27036	−	0.412765i	0.865175	+	0.501470i	$0.167207\pi$
$152$	−15.4773	−	21.3026i	−1.25537	−	1.72787i
$153$	10.8571	−	14.9435i	0.877743	−	1.20811i
$154$	−10.2243	−	7.42838i	−0.823897	−	0.598596i
$155$	−14.7204			−1.18237
$156$	−42.6521	−	30.9885i	−3.41490	−	2.48107i
$157$	−7.01637	−	2.27976i	−0.559967	−	0.181944i	0.0153392	−	0.999882i	$-0.495117\pi$
$157$	−7.01637	−	2.27976i	−0.559967	−	0.181944i	−0.575306	+	0.817938i	$0.695117\pi$
$158$	−30.4261	+	9.88603i	−2.42057	+	0.786490i
$159$	11.1067	−	8.06946i	0.880815	−	0.639950i
$160$	14.9404	−	10.8548i	1.18114	−	0.858149i
$161$		−	2.08214i		−	0.164095i
$162$	−6.36163	−	19.5791i	−0.499817	−	1.53828i
$163$	8.36786			0.655422			0.327711	−	0.944778i	$-0.393723\pi$
$163$	8.36786			0.655422			0.327711	+	0.944778i	$0.393723\pi$
$164$	−6.51631	+	28.3359i	−0.508838	+	2.21266i
$165$	43.3289			3.37315
$166$	5.75291	+	17.7056i	0.446512	+	1.37422i
$167$		−	5.40757i		−	0.418450i	−0.977867	−	0.209225i	$-0.932906\pi$
$167$		−	5.40757i		−	0.418450i	0.977867	−	0.209225i	$-0.0670942\pi$
$168$	15.6775	−	11.3904i	1.20955	−	0.878786i
$169$	1.74581	−	1.26840i	0.134293	−	0.0975695i
$170$	−22.4163	+	7.28348i	−1.71925	+	0.558618i
$171$	22.7109	+	7.37923i	1.73675	+	0.564304i
$172$	11.3271	+	8.22959i	0.863680	+	0.627500i
$173$	5.81784			0.442322			0.221161	−	0.975237i	$-0.429015\pi$
$173$	5.81784			0.442322			0.221161	+	0.975237i	$0.429015\pi$
$174$	54.1707	+	39.3573i	4.10667	+	2.98367i
$175$	2.14269	−	2.94915i	0.161972	−	0.222935i
$176$	−21.8929	−	30.1330i	−1.65024	−	2.27136i
$177$	−19.4309	+	6.31348i	−1.46051	+	0.474550i
$178$			1.78930i			0.134114i
$179$	−7.65841	−	10.5409i	−0.572416	−	0.787863i	0.420422	−	0.907329i	$-0.361882\pi$
$179$	−7.65841	−	10.5409i	−0.572416	−	0.787863i	−0.992838	+	0.119465i	$0.961882\pi$
$180$	−24.3139	+	74.8305i	−1.81225	+	5.57753i
$181$	10.5329	−	14.4973i	0.782905	−	1.07758i	−0.212050	−	0.977259i	$-0.568014\pi$
$181$	10.5329	−	14.4973i	0.782905	−	1.07758i	0.994955	−	0.100318i	$-0.0319859\pi$
$182$	3.07694	+	9.46984i	0.228078	+	0.701952i
$183$	31.3167	+	10.1754i	2.31500	+	0.752189i
$184$	4.18103	−	12.8679i	0.308230	−	0.948634i
$185$	7.97894	−	24.5566i	0.586623	−	1.80544i
$186$	−36.3145	−	11.7993i	−2.66271	−	0.865165i
$187$	4.78619	+	14.7304i	0.350001	+	1.07719i
$188$	−3.97424	+	5.47008i	−0.289852	+	0.398946i
$189$	−2.66610	+	8.20541i	−0.193930	+	0.596856i
$190$	−17.9106	−	24.6518i	−1.29937	−	1.78843i
$191$		−	10.8810i		−	0.787323i	−0.919256	−	0.393661i	$-0.871208\pi$
$191$		−	10.8810i		−	0.787323i	0.919256	−	0.393661i	$-0.128792\pi$
$192$	2.80253	−	0.910596i	0.202255	−	0.0657166i
$193$	1.15402	+	1.58837i	0.0830681	+	0.114333i	0.848529	−	0.529149i	$-0.177489\pi$
$193$	1.15402	+	1.58837i	0.0830681	+	0.114333i	−0.765461	+	0.643483i	$0.777489\pi$
$194$	−3.57997	+	4.92741i	−0.257027	+	0.353767i
$195$	−27.6183	−	20.0658i	−1.97778	−	1.43694i
$196$	−4.54083			−0.324345
$197$	12.2181	+	8.87695i	0.870502	+	0.632457i	0.930722	−	0.365729i	$-0.119180\pi$
$197$	12.2181	+	8.87695i	0.870502	+	0.632457i	−0.0602197	+	0.998185i	$0.519180\pi$
$198$	70.8316	+	23.0146i	5.03378	+	1.63558i
$199$	24.3710	−	7.91862i	1.72761	−	0.561336i	0.734513	−	0.678594i	$-0.237411\pi$
$199$	24.3710	−	7.91862i	1.72761	−	0.561336i	0.993101	+	0.117258i	$0.0374106\pi$
$200$	19.1641	−	13.9236i	1.35511	−	0.984545i
$201$	−22.8613	+	16.6097i	−1.61251	+	1.17156i
$202$			6.81766i			0.479689i
$203$	−2.71298	−	8.34968i	−0.190414	−	0.586033i
$204$	−42.4435			−2.97164
$205$	−4.21947	+	18.3482i	−0.294700	+	1.28149i
$206$	10.1815			0.709381
$207$	3.79173	+	11.6697i	0.263543	+	0.811103i
$208$			29.3458i			2.03477i
$209$	−16.1994	+	11.7696i	−1.12054	+	0.814119i
$210$	18.1423	−	13.1812i	1.25194	−	0.909586i
$211$	22.4340	−	7.28925i	1.54442	−	0.501812i	0.591828	−	0.806064i	$-0.298406\pi$
$211$	22.4340	−	7.28925i	1.54442	−	0.501812i	0.952592	+	0.304252i	$0.0984063\pi$
$212$	−19.8811	−	6.45976i	−1.36544	−	0.443658i
$213$	−12.5426	−	9.11270i	−0.859401	−	0.624392i
$214$	−22.6092			−1.54553
$215$	7.33455	+	5.32886i	0.500212	+	0.363425i
$216$	−32.9537	+	45.3569i	−2.24222	+	3.08615i
$217$	2.94272	+	4.05030i	0.199765	+	0.274952i
$218$	−11.2331	+	3.64987i	−0.760804	+	0.247200i
$219$			10.6083i			0.716844i
$220$	−38.7797	−	53.3757i	−2.61453	−	3.59859i
$221$	3.77095	−	11.6058i	0.253662	−	0.780691i
$222$	39.3671	−	54.1842i	2.64215	−	3.63660i
$223$	−1.38612	−	4.26604i	−0.0928214	−	0.285675i	0.893858	−	0.448349i	$-0.147988\pi$
$223$	−1.38612	−	4.26604i	−0.0928214	−	0.285675i	−0.986680	+	0.162674i	$0.947988\pi$
$224$	−5.97337	−	1.94086i	−0.399112	−	0.129679i
$225$	−6.63846	+	20.4311i	−0.442564	+	1.36207i
$226$	6.09323	−	18.7530i	0.405315	−	1.24743i
$227$	−24.8261	−	8.06650i	−1.64777	−	0.535392i	−0.669513	−	0.742800i	$-0.733497\pi$
$227$	−24.8261	−	8.06650i	−1.64777	−	0.535392i	−0.978255	+	0.207408i	$0.933497\pi$
$228$	−16.9562	−	52.1858i	−1.12295	−	3.45609i
$229$	5.44273	−	7.49128i	0.359666	−	0.495038i	−0.590390	−	0.807118i	$-0.701026\pi$
$229$	5.44273	−	7.49128i	0.359666	−	0.495038i	0.950056	+	0.312081i	$0.101026\pi$
$230$	4.83837	−	14.8910i	0.319033	−	0.981883i
$231$	−8.66173	−	11.9219i	−0.569900	−	0.784400i
$232$		−	57.0500i		−	3.74552i
$233$	−2.53346	+	0.823172i	−0.165973	+	0.0539278i	−0.390825	−	0.920465i	$-0.627810\pi$
$233$	−2.53346	+	0.823172i	−0.165973	+	0.0539278i	0.224852	+	0.974393i	$0.427810\pi$
$234$	−34.4906	−	47.4722i	−2.25472	−	3.10336i
$235$	−2.57342	+	3.54201i	−0.167871	+	0.231055i
$236$	25.1682	+	18.2858i	1.63831	+	1.19030i
$237$	−37.3036			−2.42313
$238$	6.48519	+	4.71177i	0.420373	+	0.305419i
$239$	−21.5421	−	6.99945i	−1.39344	−	0.452757i	−0.486377	−	0.873749i	$-0.661682\pi$
$239$	−21.5421	−	6.99945i	−1.39344	−	0.452757i	−0.907064	+	0.420992i	$0.861682\pi$
$240$	62.8566	−	20.4234i	4.05738	−	1.31832i
$241$	12.6174	−	9.16707i	0.812757	−	0.590503i	−0.101872	−	0.994798i	$-0.532483\pi$
$241$	12.6174	−	9.16707i	0.812757	−	0.590503i	0.914629	+	0.404295i	$0.132483\pi$
$242$	−27.7636	+	20.1715i	−1.78471	+	1.29667i
$243$			1.87829i			0.120492i
$244$	−15.4939	−	47.6853i	−0.991895	−	3.05274i
$245$	−2.94030			−0.187849
$246$	−25.1163	+	41.8817i	−1.60136	+	2.67028i
$247$	15.7762			1.00382
$248$	10.0532	+	30.9406i	0.638379	+	1.96473i
$249$			21.7078i			1.37568i
$250$	−8.24121	+	5.98759i	−0.521220	+	0.378689i
$251$	8.71428	−	6.33130i	0.550041	−	0.399628i	−0.277760	−	0.960651i	$-0.589592\pi$
$251$	8.71428	−	6.33130i	0.550041	−	0.399628i	0.827801	+	0.561023i	$0.189592\pi$
$252$	25.4500	−	8.26919i	1.60320	−	0.520910i
$253$	−9.78531	−	3.17944i	−0.615197	−	0.199890i
$254$	7.14587	+	5.19178i	0.448372	+	0.325761i
$255$	−27.4832			−1.72107
$256$	22.3606	+	16.2459i	1.39754	+	1.01537i
$257$	5.03904	−	6.93564i	0.314326	−	0.432633i	−0.622398	−	0.782701i	$-0.713841\pi$
$257$	5.03904	−	6.93564i	0.314326	−	0.432633i	0.936724	+	0.350068i	$0.113841\pi$
$258$	13.8225	+	19.0250i	0.860551	+	1.18445i
$259$	−8.35175	+	2.71365i	−0.518953	+	0.168618i
$260$			51.9813i			3.22374i
$261$	30.4108	+	41.8568i	1.88238	+	2.59087i
$262$	−14.2323	+	43.8024i	−0.879272	+	2.70612i
$263$	−13.5380	+	18.6334i	−0.834786	+	1.14898i	0.152227	+	0.988346i	$0.451355\pi$
$263$	−13.5380	+	18.6334i	−0.834786	+	1.14898i	−0.987013	+	0.160639i	$0.948645\pi$
$264$	−29.5911	−	91.0719i	−1.82120	−	5.60509i
$265$	−12.8735	−	4.18285i	−0.790812	−	0.256951i
$266$	−3.20245	+	9.85613i	−0.196355	+	0.604318i
$267$	−0.644729	+	1.98427i	−0.0394568	+	0.121435i
$268$	40.9221	+	13.2964i	2.49971	+	0.812206i
$269$	2.67396	+	8.22960i	0.163034	+	0.501767i	0.998886	−	0.0471876i	$-0.0150259\pi$
$269$	2.67396	+	8.22960i	0.163034	+	0.501767i	−0.835852	+	0.548955i	$0.815026\pi$
$270$	−38.1347	+	52.4879i	−2.32080	+	3.19431i
$271$	−1.71835	+	5.28854i	−0.104382	+	0.321256i	−0.989585	−	0.143950i	$-0.954020\pi$
$271$	−1.71835	+	5.28854i	−0.104382	+	0.321256i	0.885203	+	0.465206i	$0.154020\pi$
$272$	13.8865	+	19.1132i	0.841994	+	1.15891i
$273$			11.6104i			0.702693i
$274$	−19.2731	+	6.26219i	−1.16433	+	0.378313i
$275$	−10.5881	−	14.5733i	−0.638486	−	0.878800i
$276$	16.5726	−	22.8102i	0.997553	−	1.37301i
$277$	7.75059	+	5.63113i	0.465688	+	0.338342i	0.795758	−	0.605614i	$-0.207073\pi$
$277$	7.75059	+	5.63113i	0.465688	+	0.338342i	−0.330071	+	0.943956i	$0.607073\pi$
$278$	33.2964			1.99698
$279$	−23.8689	−	17.3418i	−1.42899	−	1.03823i
$280$	−18.1715	−	5.90427i	−1.08595	−	0.352847i
$281$	8.49975	−	2.76174i	0.507053	−	0.164751i	−0.0443088	−	0.999018i	$-0.514109\pi$
$281$	8.49975	−	2.76174i	0.507053	−	0.164751i	0.551361	+	0.834266i	$0.314109\pi$
$282$	−9.18760	+	6.67518i	−0.547113	+	0.397501i
$283$	−7.82643	+	5.68623i	−0.465233	+	0.338011i	−0.795581	−	0.605848i	$-0.792834\pi$
$283$	−7.82643	+	5.68623i	−0.465233	+	0.338011i	0.330348	+	0.943859i	$0.392834\pi$
$284$			23.6068i			1.40080i
$285$	−10.9795	−	33.7916i	−0.650372	−	2.00164i
$286$	49.2034			2.90946
$287$	5.89196	−	2.50695i	0.347792	−	0.147980i
$288$	37.0133			2.18103
$289$	2.21744	+	6.82458i	0.130438	+	0.401446i
$290$		−	66.0194i		−	3.87679i
$291$	−5.74552	+	4.17436i	−0.336808	+	0.244705i
$292$	13.0681	−	9.49453i	0.764752	−	0.555625i
$293$	14.9044	−	4.84274i	0.870725	−	0.282916i	0.160624	−	0.987016i	$-0.448649\pi$
$293$	14.9044	−	4.84274i	0.870725	−	0.282916i	0.710101	+	0.704100i	$0.248649\pi$
$294$	−7.25354	−	2.35682i	−0.423035	−	0.137452i
$295$	16.2970	+	11.8405i	0.948849	+	0.689379i
$296$	−57.0641			−3.31679
$297$	34.4914	+	25.0594i	2.00139	+	1.45410i
$298$	31.0231	−	42.6996i	1.79712	−	2.47352i
$299$	4.76484	+	6.55823i	0.275558	+	0.379273i
$300$	46.9471	−	15.2540i	2.71049	−	0.880692i
$301$		−	3.08336i		−	0.177722i
$302$	−24.6743	−	33.9612i	−1.41984	−	1.95425i
$303$	−2.45657	+	7.56053i	−0.141126	+	0.434341i
$304$	−17.9526	+	24.7097i	−1.02965	+	1.41720i
$305$	−10.0327	−	30.8774i	−0.574470	−	1.76804i
$306$	−44.9280	−	14.5980i	−2.56836	−	0.834512i
$307$	−2.62064	+	8.06549i	−0.149568	+	0.460322i	−0.997570	−	0.0696706i	$-0.977805\pi$
$307$	−2.62064	+	8.06549i	−0.149568	+	0.460322i	0.848002	+	0.529992i	$0.177805\pi$
$308$	−6.93389	+	21.3403i	−0.395095	+	1.21598i
$309$	11.2909	+	3.66865i	0.642319	+	0.208702i
$310$	11.6338	+	35.8050i	0.660753	+	2.03359i
$311$	−5.91607	+	8.14277i	−0.335469	+	0.461734i	−0.943111	−	0.332477i	$-0.892116\pi$
$311$	−5.91607	+	8.14277i	−0.335469	+	0.461734i	0.607642	+	0.794211i	$0.292116\pi$
$312$	−23.3143	+	71.7539i	−1.31991	+	4.06227i
$313$	12.7056	+	17.4878i	0.718164	+	0.988467i	0.999583	+	0.0288824i	$0.00919483\pi$
$313$	12.7056	+	17.4878i	0.718164	+	0.988467i	−0.281419	+	0.959585i	$0.590805\pi$
$314$			18.8679i			1.06477i
$315$	16.4795	−	5.35450i	0.928513	−	0.301692i
$316$	33.3870	+	45.9532i	1.87816	+	2.58507i
$317$	−4.72665	+	6.50568i	−0.265475	+	0.365395i	−0.920856	−	0.389904i	$-0.872508\pi$
$317$	−4.72665	+	6.50568i	−0.265475	+	0.365395i	0.655380	+	0.755299i	$0.272508\pi$
$318$	−28.4053	−	20.6377i	−1.59289	−	1.15730i
$319$	−43.3833			−2.42900
$320$	−2.35053	−	1.70776i	−0.131398	−	0.0954666i
$321$	−25.0727	−	8.14662i	−1.39942	−	0.454700i
$322$	−5.06445	+	1.64554i	−0.282231	+	0.0917023i
$323$	10.2752	−	7.46536i	0.571727	−	0.415384i
$324$	−29.5708	+	21.4844i	−1.64282	+	1.19358i
$325$			14.1925i			0.787260i
$326$	−6.61323	−	20.3534i	−0.366273	−	1.12727i
$327$	−13.7723			−0.761608
$328$	41.4472	−	3.66192i	2.28854	−	0.202196i
$329$	1.48902			0.0820924
$330$	−34.2434	−	105.390i	−1.88503	−	5.80154i
$331$			5.29817i			0.291214i	0.989343	+	0.145607i	$0.0465135\pi$
$331$			5.29817i			0.291214i	−0.989343	+	0.145607i	$0.953487\pi$
$332$	26.7412	−	19.4286i	1.46762	−	1.06629i
$333$	41.8672	−	30.4183i	2.29431	−	1.66691i
$334$	−13.1530	+	4.27367i	−0.719700	+	0.233845i
$335$	26.4980	+	8.60973i	1.44774	+	0.470400i
$336$	−18.1849	−	13.2121i	−0.992068	−	0.720779i
$337$	−6.40794			−0.349063			−0.174531	−	0.984652i	$-0.555841\pi$
$337$	−6.40794			−0.349063			−0.174531	+	0.984652i	$0.555841\pi$
$338$	−4.46491	−	3.24395i	−0.242859	−	0.176448i
$339$	13.5143	−	18.6009i	0.733997	−	1.01026i
$340$	24.5977	+	33.8558i	1.33400	+	1.83609i
$341$	23.5285	−	7.64489i	1.27414	−	0.413994i
$342$		−	61.0724i		−	3.30242i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	6.19154	−	19.0556i	0.333826	−	1.02741i
$345$	10.7312	−	14.7702i	0.577746	−	0.795199i
$346$	−4.59791	−	14.1509i	−0.247185	−	0.760758i
$347$	19.8671	+	6.45521i	1.06652	+	0.346534i	0.789132	−	0.614224i	$-0.210531\pi$
$347$	19.8671	+	6.45521i	1.06652	+	0.346534i	0.277389	+	0.960758i	$0.410531\pi$
$348$	36.7374	−	113.066i	1.96933	−	6.06098i
$349$	5.39297	−	16.5978i	0.288679	−	0.888462i	−0.696593	−	0.717467i	$-0.745302\pi$
$349$	5.39297	−	16.5978i	0.288679	−	0.888462i	0.985272	−	0.170996i	$-0.0546984\pi$
$350$	−8.86671	−	2.88097i	−0.473946	−	0.153994i
$351$	−10.3800	−	31.9463i	−0.554042	−	1.70517i
$352$	−18.2428	+	25.1090i	−0.972342	+	1.33831i
$353$	−9.26402	+	28.5117i	−0.493074	+	1.51753i	0.326863	+	0.945072i	$0.394008\pi$
$353$	−9.26402	+	28.5117i	−0.493074	+	1.51753i	−0.819937	+	0.572454i	$0.805992\pi$
$354$	30.7129	+	42.2727i	1.63237	+	2.24677i
$355$			15.2860i			0.811294i
$356$	3.02141	−	0.981715i	0.160134	−	0.0520308i
$357$	5.49408	+	7.56195i	0.290777	+	0.400221i
$358$	−19.5864	+	26.9584i	−1.03517	+	1.42479i
$359$	−8.88004	−	6.45172i	−0.468670	−	0.340509i	0.328253	−	0.944590i	$-0.393540\pi$
$359$	−8.88004	−	6.45172i	−0.468670	−	0.340509i	−0.796923	+	0.604081i	$0.793540\pi$
$360$	112.598			5.93441
$361$	−2.08745	−	1.51662i	−0.109866	−	0.0798223i
$362$	−43.5866	−	14.1621i	−2.29086	−	0.744345i
$363$	−38.0571	+	12.3655i	−1.99748	+	0.649021i
$364$	14.3025	−	10.3914i	0.749656	−	0.544657i
$365$	8.46191	−	6.14794i	0.442917	−	0.321798i
$366$		−	84.2145i		−	4.40196i
$367$	−1.66902	−	5.13673i	−0.0871224	−	0.268135i	0.897998	−	0.439999i	$-0.145021\pi$
$367$	−1.66902	−	5.13673i	−0.0871224	−	0.268135i	−0.985121	+	0.171864i	$0.945021\pi$
$368$	−15.6941			−0.818110
$369$	−28.4573	+	24.7804i	−1.48143	+	1.29001i
$370$	−66.0357			−3.43303
$371$	1.42259	+	4.37829i	0.0738574	+	0.227310i
$372$			67.7941i			3.51496i
$373$	−1.97489	+	1.43484i	−0.102256	+	0.0742934i	−0.637738	−	0.770253i	$-0.720130\pi$
$373$	−1.97489	+	1.43484i	−0.102256	+	0.0742934i	0.535482	+	0.844546i	$0.320130\pi$
$374$	32.0466	−	23.2832i	1.65709	−	1.20395i
$375$	−11.2967	+	3.67051i	−0.583358	+	0.189544i
$376$	9.20236	+	2.99003i	0.474575	+	0.154199i
$377$	27.6529	+	20.0910i	1.42420	+	1.03474i
$378$	22.0653			1.13492
$379$	26.7227	+	19.4152i	1.37265	+	0.997290i	0.997525	+	0.0703174i	$0.0224012\pi$
$379$	26.7227	+	19.4152i	1.37265	+	0.997290i	0.375128	+	0.926973i	$0.377599\pi$
$380$	−31.8001	+	43.7691i	−1.63131	+	2.24531i
$381$	6.05378	+	8.33232i	0.310145	+	0.426877i
$382$	−26.4662	+	8.59940i	−1.35413	+	0.439984i
$383$		−	21.1039i		−	1.07836i	−0.842191	−	0.539179i	$-0.818735\pi$
$383$		−	21.1039i		−	1.07836i	0.842191	−	0.539179i	$-0.181265\pi$
$384$	17.5888	+	24.2089i	0.897575	+	1.23541i
$385$	−4.48986	+	13.8184i	−0.228824	+	0.704249i
$386$	2.95141	−	4.06226i	0.150223	−	0.206764i
$387$	5.61503	+	17.2813i	0.285428	+	0.878457i
$388$	10.2846	+	3.34166i	0.522120	+	0.169647i
$389$	6.06162	−	18.6558i	0.307337	−	0.945885i	−0.671458	−	0.741042i	$-0.734332\pi$
$389$	6.06162	−	18.6558i	0.307337	−	0.945885i	0.978795	−	0.204842i	$-0.0656682\pi$
$390$	−26.9797	+	83.0350i	−1.36617	+	4.20464i
$391$	6.20675	+	2.01670i	0.313889	+	0.101989i
$392$	2.00805	+	6.18014i	0.101422	+	0.312144i
$393$	−31.5661	+	43.4470i	−1.59230	+	2.19161i
$394$	11.9356	−	36.7340i	0.601306	−	1.85063i
$395$	21.6189	+	29.7558i	1.08776	+	1.49718i
$396$		−	132.233i		−	6.64496i
$397$	−19.3789	+	6.29658i	−0.972599	+	0.316016i	−0.751865	−	0.659318i	$-0.770845\pi$
$397$	−19.3789	+	6.29658i	−0.972599	+	0.316016i	−0.220734	+	0.975334i	$0.570845\pi$
$398$	−38.5214	−	53.0202i	−1.93090	−	2.65766i
$399$	−7.10279	+	9.77616i	−0.355585	+	0.489420i
$400$	−22.2292	−	16.1504i	−1.11146	−	0.807522i
$401$	−21.8424			−1.09076			−0.545378	−	0.838190i	$-0.683614\pi$
$401$	−21.8424			−1.09076			−0.545378	+	0.838190i	$0.683614\pi$
$402$	58.4678	+	42.4794i	2.91611	+	2.11868i
$403$	−18.5377	−	6.02327i	−0.923429	−	0.300040i
$404$	11.5123	−	3.74056i	0.572756	−	0.186100i
$405$	−19.1478	+	13.9117i	−0.951462	+	0.691277i
$406$	−18.1651	+	13.1977i	−0.901518	+	0.654991i
$407$			43.3941i			2.15096i
$408$	18.7694	+	57.7663i	0.929224	+	2.85986i
$409$	−14.6878			−0.726267			−0.363134	−	0.931737i	$-0.618293\pi$
$409$	−14.6878			−0.726267			−0.363134	+	0.931737i	$0.618293\pi$
$410$	47.9635	−	4.23765i	2.36875	−	0.209283i
$411$	−23.6295			−1.16556
$412$	−5.58617	−	17.1925i	−0.275211	−	0.847012i
$413$		−	6.85108i		−	0.337120i
$414$	25.3880	−	18.4455i	1.24775	−	0.906546i
$415$	17.3156	−	12.5805i	0.849989	−	0.617553i
$416$	23.2562	−	7.55640i	1.14023	−	0.370483i
$417$	36.9245	+	11.9975i	1.80820	+	0.587519i
$418$	41.4302	+	30.1008i	2.02642	+	1.47228i
$419$	14.9060			0.728207			0.364103	−	0.931359i	$-0.381376\pi$
$419$	14.9060			0.728207			0.364103	+	0.931359i	$0.381376\pi$
$420$	−32.2115	−	23.4031i	−1.57176	−	1.14195i
$421$	−17.6711	+	24.3222i	−0.861238	+	1.18539i	0.120035	+	0.992770i	$0.461699\pi$
$421$	−17.6711	+	24.3222i	−0.861238	+	1.18539i	−0.981273	+	0.192622i	$0.938301\pi$
$422$	−35.4597	−	48.8061i	−1.72615	−	2.37585i
$423$	−8.34550	+	2.71162i	−0.405772	+	0.131843i
$424$			29.9151i			1.45281i
$425$	6.71595	+	9.24371i	0.325771	+	0.448386i
$426$	−12.2526	+	37.7095i	−0.593639	+	1.82703i
$427$	−6.49026	+	8.93307i	−0.314085	+	0.432302i
$428$	12.4047	+	38.1777i	0.599603	+	1.84539i
$429$	54.5648	+	17.7292i	2.63441	+	0.855973i
$430$	7.16497	−	22.0515i	0.345526	−	1.06342i
$431$	−3.96231	+	12.1947i	−0.190858	+	0.587400i	−1.00000		0.000212840i	$-0.999932\pi$
$431$	−3.96231	+	12.1947i	−0.190858	+	0.587400i	0.809142	+	0.587613i	$0.199932\pi$
$432$	61.8481	+	20.0957i	2.97567	+	0.966853i
$433$	−5.53941	−	17.0486i	−0.266207	−	0.819301i	−0.991413	−	0.130769i	$-0.958255\pi$
$433$	−5.53941	−	17.0486i	−0.266207	−	0.819301i	0.725206	−	0.688532i	$-0.241745\pi$
$434$	7.52601	−	10.3587i	0.361260	−	0.497232i
$435$	23.7883	−	73.2130i	1.14056	−	3.51030i
$436$	12.3263	+	16.9657i	0.590322	+	0.812509i
$437$			8.43709i			0.403601i
$438$	25.8029	−	8.38388i	1.23291	−	0.400597i
$439$	19.1589	+	26.3699i	0.914403	+	1.25857i	0.965641	+	0.259881i	$0.0836833\pi$
$439$	19.1589	+	26.3699i	0.914403	+	1.25857i	−0.0512378	+	0.998686i	$0.516317\pi$
$440$	−55.4959	+	76.3836i	−2.64567	+	3.64145i
$441$	−4.76764	−	3.46389i	−0.227030	−	0.164947i
$442$	−31.2094			−1.48448
$443$	−19.9186	−	14.4717i	−0.946361	−	0.687572i	0.00358212	−	0.999994i	$-0.498860\pi$
$443$	−19.9186	−	14.4717i	−0.946361	−	0.687572i	−0.949943	+	0.312422i	$0.898860\pi$
$444$	−113.094	−	36.7465i	−5.36721	−	1.74391i
$445$	1.95644	−	0.635684i	0.0927439	−	0.0301343i
$446$	−9.28095	+	6.74300i	−0.439466	+	0.319290i
$447$	49.7891	−	36.1739i	2.35494	−	1.71097i
$448$			0.988135i			0.0466850i
$449$	8.79163	+	27.0579i	0.414903	+	1.27694i	0.912338	+	0.409438i	$0.134275\pi$
$449$	8.79163	+	27.0579i	0.414903	+	1.27694i	−0.497435	+	0.867501i	$0.665725\pi$
$450$	54.9416			2.58997
$451$	−2.78469	−	31.5183i	−0.131126	−	1.48414i
$452$	−35.0093			−1.64670
$453$	−15.1258	−	46.5524i	−0.710672	−	2.18722i
$454$			66.7604i			3.13322i
$455$	9.26124	−	6.72868i	0.434174	−	0.315446i
$456$	−63.5273	+	46.1553i	−2.97494	+	2.16142i
$457$	−16.0221	+	5.20591i	−0.749484	+	0.243522i	−0.658759	−	0.752354i	$-0.728918\pi$
$457$	−16.0221	+	5.20591i	−0.749484	+	0.243522i	−0.0907249	+	0.995876i	$0.528918\pi$
$458$	−22.5227	−	7.31808i	−1.05242	−	0.341951i
$459$	−21.8776	−	15.8950i	−1.02116	−	0.741916i
$460$	−27.7994			−1.29616
$461$	−24.5354	−	17.8260i	−1.14273	−	0.830239i	−0.155229	−	0.987879i	$-0.549612\pi$
$461$	−24.5354	−	17.8260i	−1.14273	−	0.830239i	−0.987497	+	0.157640i	$0.949612\pi$
$462$	−22.1524	+	30.4902i	−1.03062	+	1.41853i
$463$	−1.99764	−	2.74951i	−0.0928381	−	0.127781i	0.760071	−	0.649840i	$-0.225164\pi$
$463$	−1.99764	−	2.74951i	−0.0928381	−	0.127781i	−0.852909	+	0.522059i	$0.825164\pi$
$464$	−62.9355	+	20.4490i	−2.92171	+	0.949321i
$465$			43.8983i			2.03574i
$466$	4.00445	+	5.51166i	0.185503	+	0.255323i
$467$	7.45842	−	22.9547i	0.345135	−	1.06222i	−0.616377	−	0.787451i	$-0.711400\pi$
$467$	7.45842	−	22.9547i	0.345135	−	1.06222i	0.961512	−	0.274764i	$-0.0885998\pi$
$468$	−61.2378	+	84.2866i	−2.83072	+	3.89615i
$469$	−2.92818	−	9.01202i	−0.135211	−	0.416136i
$470$	10.6491	+	3.46012i	0.491209	+	0.159603i
$471$	−6.79854	+	20.9238i	−0.313260	+	0.964116i
$472$	13.7573	−	42.3406i	0.633231	−	1.94889i
$473$	−14.4907	−	4.70832i	−0.666284	−	0.216489i
$474$	29.4815	+	90.7346i	1.35413	+	4.16758i
$475$	−8.68244	+	11.9504i	−0.398378	+	0.548320i
$476$	4.39811	−	13.5360i	0.201587	−	0.620422i
$477$	−15.9464	−	21.9483i	−0.730136	−	1.00495i
$478$			57.9292i			2.64962i
$479$	−11.9158	+	3.87167i	−0.544446	+	0.176901i	−0.568311	−	0.822814i	$-0.692403\pi$
$479$	−11.9158	+	3.87167i	−0.544446	+	0.176901i	0.0238648	+	0.999715i	$0.492403\pi$
$480$	−32.3705	−	44.5542i	−1.47751	−	2.03361i
$481$	20.0960	−	27.6598i	0.916299	−	1.26118i
$482$	−32.2690	−	23.4448i	−1.46981	−	1.06788i
$483$	−6.20921			−0.282529
$484$	49.2941	+	35.8143i	2.24064	+	1.62792i
$485$	6.65951	+	2.16381i	0.302393	+	0.0982533i
$486$	4.56862	−	1.48444i	0.207237	−	0.0673354i
$487$	−0.0322399	+	0.0234236i	−0.00146093	+	0.00106143i	−0.588515	−	0.808486i	$-0.700287\pi$
$487$	−0.0322399	+	0.0234236i	−0.00146093	+	0.00106143i	0.587055	+	0.809547i	$0.300287\pi$
$488$	−58.0488	+	42.1749i	−2.62774	+	1.90917i
$489$		−	24.9541i		−	1.12846i
$490$	2.32375	+	7.15178i	0.104977	+	0.323085i
$491$	28.4753			1.28507			0.642537	−	0.766254i	$-0.277882\pi$
$491$	28.4753			1.28507			0.642537	+	0.766254i	$0.277882\pi$
$492$	84.5014	+	19.4325i	3.80962	+	0.876085i
$493$	27.5177			1.23934
$494$	−12.4682	−	38.3730i	−0.560969	−	1.72649i
$495$		−	85.6241i		−	3.84852i
$496$	30.5291	−	22.1807i	1.37080	−	0.995941i
$497$	4.20590	−	3.05576i	0.188660	−	0.137070i
$498$	52.8005	−	17.1559i	2.36605	−	0.768776i
$499$	−3.38934	−	1.10126i	−0.151728	−	0.0492994i	0.232168	−	0.972676i	$-0.425418\pi$
$499$	−3.38934	−	1.10126i	−0.151728	−	0.0492994i	−0.383896	+	0.923376i	$0.625418\pi$
$500$	14.6322	+	10.6309i	0.654372	+	0.475429i
$501$	−16.1261			−0.720461
$502$	−22.2868	−	16.1923i	−0.994710	−	0.722699i
$503$	−4.73385	+	6.51559i	−0.211072	+	0.290516i	−0.901406	−	0.432975i	$-0.857464\pi$
$503$	−4.73385	+	6.51559i	−0.211072	+	0.290516i	0.690334	+	0.723491i	$0.257464\pi$
$504$	−22.5090	−	30.9810i	−1.00263	−	1.38000i
$505$	7.45447	−	2.42210i	0.331720	−	0.107782i
$506$			26.3139i			1.16979i
$507$	−3.78255	−	5.20623i	−0.167989	−	0.231217i
$508$	4.84617	−	14.9150i	0.215014	−	0.661745i
$509$	−12.0949	+	16.6472i	−0.536098	+	0.737875i	−0.988044	−	0.154170i	$-0.950730\pi$
$509$	−12.0949	+	16.6472i	−0.536098	+	0.737875i	0.451947	+	0.892045i	$0.350730\pi$
$510$	21.7203	+	66.8483i	0.961792	+	2.96009i
$511$	−3.38318	−	1.09926i	−0.149663	−	0.0486285i
$512$	15.6420	−	48.1413i	0.691287	−	2.12756i
$513$	10.8034	−	33.2494i	0.476981	−	1.46800i
$514$	−20.8522	−	6.77529i	−0.919751	−	0.298845i
$515$	−3.61718	−	11.1325i	−0.159392	−	0.490558i
$516$	24.5417	−	33.7788i	1.08039	−	1.48703i
$517$	2.27375	−	6.99787i	0.0999993	−	0.307766i
$518$	13.2010	+	18.1696i	0.580018	+	0.798326i
$519$		−	17.3496i		−	0.761562i
$520$	70.7473	−	22.9872i	3.10247	−	1.00806i
$521$	−16.2992	−	22.4340i	−0.714082	−	0.982849i	−0.999700	−	0.0245058i	$-0.992199\pi$
$521$	−16.2992	−	22.4340i	−0.714082	−	0.982849i	0.285618	−	0.958344i	$-0.407801\pi$
$522$	77.7757	−	107.049i	3.40415	−	4.68541i
$523$	−22.7192	−	16.5065i	−0.993443	−	0.721778i	−0.0327703	−	0.999463i	$-0.510433\pi$
$523$	−22.7192	−	16.5065i	−0.993443	−	0.721778i	−0.960672	+	0.277685i	$0.910433\pi$
$524$	81.7731			3.57227
$525$	−8.79477	−	6.38977i	−0.383835	−	0.278873i
$526$	56.0218	+	18.2026i	2.44267	+	0.793671i
$527$	−14.9240	+	4.84910i	−0.650099	+	0.211230i
$528$	−89.8607	+	65.2876i	−3.91069	+	2.84128i
$529$	15.1001	−	10.9708i	0.656525	−	0.476993i
$530$			34.6184i			1.50373i
$531$	12.4763	+	38.3982i	0.541427	+	1.66634i
$532$	18.4000			0.797743
$533$	−12.8213	+	21.3797i	−0.555352	+	0.926056i
$534$	5.33594			0.230909
$535$	8.03233	+	24.7210i	0.347268	+	1.06878i
$536$		−	61.5755i		−	2.65966i
$537$	−31.4343	+	22.8384i	−1.35649	+	0.985549i
$538$	17.9038	−	13.0079i	0.771890	−	0.560811i
$539$	4.69965	−	1.52701i	0.202428	−	0.0657729i
$540$	109.554	+	35.5961i	4.71444	+	1.53181i
$541$	−21.7102	−	15.7734i	−0.933396	−	0.678152i	0.0134256	−	0.999910i	$-0.495726\pi$
$541$	−21.7102	−	15.7734i	−0.933396	−	0.678152i	−0.946822	+	0.321758i	$0.895726\pi$
$542$	14.2215			0.610866
$543$	−43.2329	−	31.4106i	−1.85530	−	1.34796i
$544$	11.5713	−	15.9265i	0.496113	−	0.682841i
$545$	7.98157	+	10.9857i	0.341893	+	0.470575i
$546$	28.2403	−	9.17584i	1.20858	−	0.392690i
$547$		−	35.3588i		−	1.51183i	−0.654668	−	0.755916i	$-0.727192\pi$
$547$		−	35.3588i		−	1.51183i	0.654668	−	0.755916i	$-0.272808\pi$
$548$	21.1486	+	29.1086i	0.903424	+	1.24346i
$549$	20.1081	−	61.8863i	0.858193	−	2.64124i
$550$	−27.0791	+	37.2712i	−1.15466	+	1.58925i
$551$	10.9933	+	33.8340i	0.468332	+	1.44138i
$552$	−38.3738	−	12.4684i	−1.63330	−	0.530691i
$553$	3.86550	−	11.8968i	0.164378	−	0.505903i
$554$	7.57139	−	23.3024i	0.321678	−	0.990022i
$555$	−73.2312	−	23.7943i	−3.10849	−	1.01001i
$556$	−18.2683	−	56.2241i	−0.774749	−	2.38443i
$557$	13.2989	−	18.3043i	0.563492	−	0.775580i	−0.428273	−	0.903649i	$-0.640878\pi$
$557$	13.2989	−	18.3043i	0.563492	−	0.775580i	0.991765	+	0.128069i	$0.0408780\pi$
$558$	−23.3171	+	71.7625i	−0.987090	+	3.03795i
$559$	7.05607	+	9.71185i	0.298440	+	0.410767i
$560$			22.1624i			0.936534i
$561$	43.9280	−	14.2731i	1.85464	−	0.602609i
$562$	−13.4349	−	18.4916i	−0.566718	−	0.780020i
$563$	−13.7863	+	18.9752i	−0.581022	+	0.799708i	−0.993807	−	0.111120i	$-0.964556\pi$
$563$	−13.7863	+	18.9752i	−0.581022	+	0.799708i	0.412785	+	0.910829i	$0.364556\pi$
$564$	16.3125	+	11.8517i	0.686880	+	0.499048i
$565$	−22.6694			−0.953708
$566$	20.0161	+	14.5426i	0.841340	+	0.611270i
$567$	7.65555	+	2.48744i	0.321503	+	0.104463i
$568$	32.1292	−	10.4394i	1.34811	−	0.438028i
$569$	26.7458	−	19.4320i	1.12124	−	0.814631i	0.136846	−	0.990592i	$-0.456303\pi$
$569$	26.7458	−	19.4320i	1.12124	−	0.814631i	0.984397	+	0.175962i	$0.0563035\pi$
$570$	−73.5150	+	53.4118i	−3.07921	+	2.23717i
$571$			9.02377i			0.377633i	0.982012	+	0.188816i	$0.0604651\pi$
$571$			9.02377i			0.377633i	−0.982012	+	0.188816i	$0.939535\pi$
$572$	−26.9958	−	83.0846i	−1.12875	−	3.47394i
$573$	−32.4486			−1.35556
$574$	−10.7542	−	12.3499i	−0.448872	−	0.515476i
$575$	−7.59013			−0.316530
$576$	−1.79947	−	5.53819i	−0.0749778	−	0.230758i
$577$			33.4036i			1.39061i	0.718715	+	0.695305i	$0.244731\pi$
$577$			33.4036i			1.39061i	−0.718715	+	0.695305i	$0.755269\pi$
$578$	14.8472	−	10.7871i	0.617561	−	0.448684i
$579$	4.73673	−	3.44144i	0.196852	−	0.143021i
$580$	−111.480	+	36.2220i	−4.62895	+	1.50404i
$581$	−6.92301	−	2.24942i	−0.287215	−	0.0933217i
$582$	14.6942	+	10.6760i	0.609094	+	0.442532i
$583$	22.7488			0.942157
$584$	−18.7012	−	13.5872i	−0.773860	−	0.562243i
$585$	−39.6530	+	54.5776i	−1.63945	+	2.25651i
$586$	−23.5583	−	32.4252i	−0.973184	−	1.33947i
$587$	−4.25447	+	1.38236i	−0.175601	+	0.0570562i	−0.395498	−	0.918467i	$-0.629428\pi$
$587$	−4.25447	+	1.38236i	−0.175601	+	0.0570562i	0.219897	+	0.975523i	$0.429428\pi$
$588$			13.5414i			0.558436i
$589$	−11.9243	−	16.4124i	−0.491331	−	0.676259i
$590$	15.9202	−	48.9974i	0.655425	−	2.01719i
$591$	26.4723	−	36.4359i	1.08892	−	1.49877i
$592$	20.4541	+	62.9511i	0.840657	+	2.58728i
$593$	−12.8252	−	4.16717i	−0.526669	−	0.171125i	0.0336007	−	0.999435i	$-0.489303\pi$
$593$	−12.8252	−	4.16717i	−0.526669	−	0.171125i	−0.560270	+	0.828310i	$0.689303\pi$
$594$	33.6939	−	103.699i	1.38248	−	4.25483i
$595$	2.84789	−	8.76489i	0.116752	−	0.359326i
$596$	−89.1233	−	28.9579i	−3.65063	−	1.18616i
$597$	−23.6144	−	72.6776i	−0.966472	−	2.97450i
$598$	12.1861	−	16.7727i	0.498326	−	0.685887i
$599$	−8.15615	+	25.1021i	−0.333251	+	1.02564i	0.634326	+	0.773066i	$0.281278\pi$
$599$	−8.15615	+	25.1021i	−0.333251	+	1.02564i	−0.967577	+	0.252576i	$0.918722\pi$
$600$	−41.5219	−	57.1501i	−1.69513	−	2.33314i
$601$		−	28.1984i		−	1.15024i	−0.818070	−	0.575118i	$-0.804956\pi$
$601$		−	28.1984i		−	1.15024i	0.818070	−	0.575118i	$-0.195044\pi$
$602$	−7.49975	+	2.43682i	−0.305667	+	0.0993173i
$603$	32.8231	+	45.1772i	1.33666	+	1.83976i
$604$	−43.8090	+	60.2979i	−1.78256	+	2.45348i
$605$	31.9192	+	23.1906i	1.29770	+	0.942833i
$606$	20.3312			0.825898
$607$	32.6146	+	23.6959i	1.32379	+	0.961788i	0.999877	+	0.0157004i	$0.00499779\pi$
$607$	32.6146	+	23.6959i	1.32379	+	0.961788i	0.323911	+	0.946088i	$0.395002\pi$
$608$	24.2049	+	7.86464i	0.981637	+	0.318953i
$609$	−24.8999	+	8.09045i	−1.00899	+	0.327842i
$610$	−67.1751	+	48.8056i	−2.71984	+	1.97608i
$611$	−4.69006	+	3.40753i	−0.189740	+	0.137854i
$612$			83.8744i			3.39042i
$613$	3.24611	+	9.99050i	0.131109	+	0.403512i	0.994965	−	0.100227i	$-0.0319570\pi$
$613$	3.24611	+	9.99050i	0.131109	+	0.403512i	−0.863855	+	0.503740i	$0.831957\pi$
$614$	21.6891			0.875299
$615$	54.7167	+	12.5830i	2.20639	+	0.507396i
$616$	32.1108			1.29378
$617$	−4.53551	−	13.9589i	−0.182593	−	0.561963i	0.817306	−	0.576204i	$-0.195467\pi$
$617$	−4.53551	−	13.9589i	−0.182593	−	0.561963i	−0.999899	+	0.0142414i	$0.995467\pi$
$618$		−	30.3627i		−	1.22137i
$619$	33.7133	−	24.4941i	1.35505	−	0.984501i	0.356307	−	0.934369i	$-0.384036\pi$
$619$	33.7133	−	24.4941i	1.35505	−	0.984501i	0.998743	−	0.0501326i	$-0.0159644\pi$
$620$	54.0772	−	39.2894i	2.17179	−	1.57790i
$621$	17.0848	−	5.55118i	0.685589	−	0.222761i
$622$	24.4814	+	7.95450i	0.981617	+	0.318947i
$623$	−0.566012	−	0.411232i	−0.0226768	−	0.0164756i
$624$	87.5131			3.50333
$625$	24.2205	+	17.5972i	0.968819	+	0.703888i
$626$	32.4947	−	44.7251i	1.29875	−	1.78757i
$627$	35.0985	+	48.3089i	1.40170	+	1.92927i
$628$	31.8601	−	10.3520i	1.27136	−	0.413089i
$629$		−	27.5245i		−	1.09748i
$630$	−26.0479	−	35.8518i	−1.03777	−	1.42837i
$631$	−6.98169	+	21.4874i	−0.277937	+	0.855401i	0.710491	+	0.703707i	$0.248473\pi$
$631$	−6.98169	+	21.4874i	−0.277937	+	0.855401i	−0.988427	+	0.151695i	$0.951527\pi$
$632$	47.7787	−	65.7617i	1.90053	−	2.61586i
$633$	−21.7375	−	66.9012i	−0.863988	−	2.65908i
$634$	19.5595	+	6.35527i	0.776807	+	0.252400i
$635$	3.13801	−	9.65781i	0.124528	−	0.383259i
$636$	−19.2639	+	59.2881i	−0.763862	+	2.35093i
$637$	−3.70277	−	1.20310i	−0.146709	−	0.0476686i
$638$	34.2864	+	105.523i	1.35741	+	4.17768i
$639$	−18.0080	+	24.7859i	−0.712385	+	0.980514i
$640$	9.11726	−	28.0600i	0.360391	−	1.10917i
$641$	12.8780	+	17.7251i	0.508651	+	0.700099i	0.983691	−	0.179866i	$-0.0575663\pi$
$641$	12.8780	+	17.7251i	0.508651	+	0.700099i	−0.475040	+	0.879964i	$0.657566\pi$
$642$			67.4235i			2.66099i
$643$	−12.7802	+	4.15253i	−0.504001	+	0.163760i	−0.549972	−	0.835183i	$-0.685362\pi$
$643$	−12.7802	+	4.15253i	−0.504001	+	0.163760i	0.0459714	+	0.998943i	$0.485362\pi$
$644$	5.55729	+	7.64896i	0.218988	+	0.301411i
$645$	15.8914	−	21.8726i	0.625722	−	0.861233i
$646$	−26.2789	−	19.0927i	−1.03393	−	0.751192i
$647$	4.92362			0.193567			0.0967837	−	0.995305i	$-0.469144\pi$
$647$	4.92362			0.193567			0.0967837	+	0.995305i	$0.469144\pi$
$648$	42.3175	+	30.7454i	1.66239	+	1.20779i
$649$	−32.1977	−	10.4617i	−1.26387	−	0.410656i
$650$	34.5209	−	11.2165i	1.35402	−	0.439949i
$651$	12.0785	−	8.77557i	0.473395	−	0.343942i
$652$	−30.7403	+	22.3341i	−1.20388	+	0.874671i
$653$			7.01839i			0.274651i	0.990526	+	0.137325i	$0.0438506\pi$
$653$			7.01839i			0.274651i	−0.990526	+	0.137325i	$0.956149\pi$
$654$	10.8844	+	33.4987i	0.425614	+	1.30990i
$655$	52.9501			2.06893
$656$	−18.8960	−	44.4105i	−0.737767	−	1.73394i
$657$	20.9635			0.817866
$658$	−1.17679	−	3.62179i	−0.0458761	−	0.141192i
$659$		−	41.0876i		−	1.60055i	−0.599636	−	0.800273i	$-0.704688\pi$
$659$		−	41.0876i		−	1.60055i	0.599636	−	0.800273i	$-0.295312\pi$
$660$	−159.173	+	115.646i	−6.19582	+	4.50152i
$661$	−18.2017	+	13.2243i	−0.707963	+	0.514365i	−0.882516	−	0.470282i	$-0.844152\pi$
$661$	−18.2017	+	13.2243i	−0.707963	+	0.514365i	0.174553	+	0.984648i	$0.444152\pi$
$662$	12.8869	−	4.18721i	0.500864	−	0.162741i
$663$	−34.6101	−	11.2455i	−1.34414	−	0.436739i
$664$	−38.2682	−	27.8035i	−1.48509	−	1.07898i
$665$	11.9145			0.462023
$666$	−107.076	−	77.7950i	−4.14910	−	3.01450i
$667$	−10.7446	+	14.7887i	−0.416034	+	0.572621i
$668$	14.4330	+	19.8653i	0.558429	+	0.768611i
$669$	−12.7219	+	4.13359i	−0.491857	+	0.159814i
$670$		−	71.2564i		−	2.75287i
$671$	32.0716	+	44.1428i	1.23811	+	1.70411i
$672$	−5.78792	+	17.8134i	−0.223274	+	0.687166i
$673$	11.4628	−	15.7772i	0.441859	−	0.608166i	−0.528765	−	0.848768i	$-0.677345\pi$
$673$	11.4628	−	15.7772i	0.441859	−	0.608166i	0.970624	+	0.240602i	$0.0773448\pi$
$674$	5.06428	+	15.5862i	0.195069	+	0.600359i
$675$	29.9116	+	9.71887i	1.15130	+	0.374080i
$676$	−3.02800	+	9.31924i	−0.116462	+	0.358432i
$677$	15.7014	−	48.3241i	0.603455	−	1.85724i	0.0963771	−	0.995345i	$-0.469275\pi$
$677$	15.7014	−	48.3241i	0.603455	−	1.85724i	0.507078	−	0.861900i	$-0.330725\pi$
$678$	−55.9240	−	18.1708i	−2.14775	−	0.697846i
$679$	−0.735913	−	2.26491i	−0.0282418	−	0.0869192i
$680$	35.2007	−	48.4496i	1.34988	−	1.85796i
$681$	−24.0554	+	74.0348i	−0.921804	+	2.83702i
$682$	−37.1898	−	51.1874i	−1.42407	−	1.96007i
$683$			29.5821i			1.13193i	0.824430	+	0.565964i	$0.191496\pi$
$683$			29.5821i			1.13193i	−0.824430	+	0.565964i	$0.808504\pi$
$684$	−103.127	+	33.5078i	−3.94314	+	1.28120i
$685$	13.6942	+	18.8485i	0.523230	+	0.720164i
$686$	1.50326	−	2.06906i	0.0573949	−	0.0789973i
$687$	−22.3400	−	16.2310i	−0.852324	−	0.619250i
$688$	−23.2408			−0.886046
$689$	−14.5003	−	10.5351i	−0.552417	−	0.401354i
$690$	−44.4069	−	14.4287i	−1.69054	−	0.549290i
$691$	−13.5496	+	4.40252i	−0.515450	+	0.167480i	−0.555179	−	0.831731i	$-0.687350\pi$
$691$	−13.5496	+	4.40252i	−0.515450	+	0.167480i	0.0397293	+	0.999210i	$0.487350\pi$
$692$	−21.3725	+	15.5280i	−0.812459	+	0.590286i
$693$	−23.5593	+	17.1168i	−0.894943	+	0.650214i
$694$		−	53.4250i		−	2.02798i
$695$	−11.8292	−	36.4065i	−0.448706	−	1.38098i
$696$	−170.131			−6.44879
$697$	1.76631	+	19.9918i	0.0669036	+	0.757244i
$698$	−44.6336			−1.68941
$699$	2.45481	+	7.55512i	0.0928494	+	0.285761i
$700$			16.5529i			0.625642i
$701$	−15.7672	+	11.4556i	−0.595520	+	0.432671i	−0.844286	−	0.535893i	$-0.819975\pi$
$701$	−15.7672	+	11.4556i	−0.595520	+	0.432671i	0.248766	+	0.968564i	$0.419975\pi$
$702$	−69.5005	+	50.4951i	−2.62313	+	1.90581i
$703$	33.8424	−	10.9961i	1.27639	−	0.414724i
$704$	4.64389	+	1.50889i	0.175023	+	0.0568684i
$705$	10.5627	+	7.67428i	0.397816	+	0.289030i
$706$	76.6714			2.88557
$707$	−2.15663	−	1.56689i	−0.0811086	−	0.0589289i
$708$	54.5306	−	75.0549i	2.04938	−	2.82074i
$709$	−2.15642	−	2.96805i	−0.0809859	−	0.111468i	0.766602	−	0.642123i	$-0.221946\pi$
$709$	−2.15642	−	2.96805i	−0.0809859	−	0.111468i	−0.847588	+	0.530655i	$0.821946\pi$
$710$	37.1805	−	12.0807i	1.39536	−	0.453380i
$711$			73.7172i			2.76461i
$712$	−2.67226	−	3.67805i	−0.100147	−	0.137841i
$713$	3.22123	−	9.91392i	0.120636	−	0.371279i
$714$	14.0511	−	19.3397i	0.525850	−	0.723771i
$715$	−17.4805	−	53.7993i	−0.653732	−	2.01198i
$716$	56.2680	+	18.2826i	2.10283	+	0.683252i
$717$	−20.8733	+	64.2414i	−0.779527	+	2.39914i
$718$	−8.67473	+	26.6981i	−0.323738	+	0.996363i
$719$	20.0343	+	6.50953i	0.747152	+	0.242764i	0.657755	−	0.753232i	$-0.271506\pi$
$719$	20.0343	+	6.50953i	0.747152	+	0.242764i	0.0893967	+	0.995996i	$0.471506\pi$
$720$	−40.3595	−	124.214i	−1.50411	−	4.62917i
$721$	−2.34000	+	3.22073i	−0.0871460	+	0.119946i
$722$	−2.03919	+	6.27599i	−0.0758908	+	0.233568i
$723$	−27.3374	−	37.6267i	−1.01669	−	1.39935i
$724$			81.3701i			3.02410i
$725$	−30.4375	+	9.88976i	−1.13042	+	0.367296i
$726$	60.1540	+	82.7949i	2.23252	+	3.07281i
$727$	−12.1671	+	16.7466i	−0.451252	+	0.621095i	−0.972666	−	0.232209i	$-0.925405\pi$
$727$	−12.1671	+	16.7466i	−0.451252	+	0.621095i	0.521414	+	0.853304i	$0.325405\pi$
$728$	−20.4677	−	14.8707i	−0.758585	−	0.551144i
$729$	29.7499			1.10185
$730$	−21.6414	−	15.7234i	−0.800983	−	0.581948i
$731$	9.19135	+	2.98645i	0.339954	+	0.110458i
$732$	−142.204	+	46.2049i	−5.25601	+	1.70778i
$733$	17.0558	−	12.3918i	0.629972	−	0.457702i	−0.226418	−	0.974030i	$-0.572702\pi$
$733$	17.0558	−	12.3918i	0.629972	−	0.457702i	0.856391	+	0.516329i	$0.172702\pi$
$734$	−11.1752	+	8.11924i	−0.412483	+	0.299687i
$735$			8.76836i			0.323426i
$736$	4.04114	+	12.4374i	0.148959	+	0.458447i
$737$	−46.8247			−1.72481
$738$	82.7642	+	49.6334i	3.04659	+	1.82703i
$739$	−37.9171			−1.39480			−0.697402	−	0.716680i	$-0.745661\pi$
$739$	−37.9171			−1.39480			−0.697402	+	0.716680i	$0.745661\pi$
$740$	36.2310	+	111.508i	1.33188	+	4.09910i
$741$		−	47.0469i		−	1.72831i
$742$	9.52517	−	6.92044i	0.349680	−	0.254057i
$743$	−31.5956	+	22.9555i	−1.15913	+	0.842156i	−0.989668	−	0.143380i	$-0.954203\pi$
$743$	−31.5956	+	22.9555i	−1.15913	+	0.842156i	−0.169461	+	0.985537i	$0.554203\pi$
$744$	92.2689	−	29.9800i	3.38274	−	1.09912i
$745$	−57.7095	−	18.7510i	−2.11431	−	0.686982i
$746$	5.05080	+	3.66962i	0.184923	+	0.134354i
$747$	42.8977			1.56954
$748$	−56.8985	−	41.3392i	−2.08042	−	1.51151i
$749$	5.19621	−	7.15197i	0.189865	−	0.261327i
$750$	17.8558	+	24.5764i	0.652002	+	0.897403i
$751$	−34.9200	+	11.3462i	−1.27425	+	0.414028i	−0.866551	−	0.499089i	$-0.833668\pi$
$751$	−34.9200	+	11.3462i	−1.27425	+	0.414028i	−0.407697	+	0.913117i	$0.633668\pi$
$752$		−	11.2235i		−	0.409278i
$753$	−18.8808	−	25.9872i	−0.688054	−	0.947025i
$754$	27.0136	−	83.1393i	0.983777	−	3.02775i
$755$	−28.3674	+	39.0443i	−1.03239	+	1.42097i
$756$	−12.1063	−	37.2594i	−0.440302	−	1.35511i
$757$	37.1134	+	12.0589i	1.34891	+	0.438287i	0.892325	−	0.451393i	$-0.149073\pi$
$757$	37.1134	+	12.0589i	1.34891	+	0.438287i	0.456584	+	0.889680i	$0.349073\pi$
$758$	26.1049	−	80.3425i	0.948171	−	2.91817i
$759$	−9.48152	+	29.1811i	−0.344157	+	1.05921i
$760$	73.6331	+	23.9249i	2.67095	+	0.867846i
$761$	−9.11619	−	28.0567i	−0.330462	−	1.01706i	−0.968915	−	0.247396i	$-0.920425\pi$
$761$	−9.11619	−	28.0567i	−0.330462	−	1.01706i	0.638453	−	0.769661i	$-0.279575\pi$
$762$	15.4826	−	21.3099i	0.560875	−	0.771978i
$763$	1.42712	−	4.39223i	0.0516652	−	0.159009i
$764$	29.0418	+	39.9726i	1.05070	+	1.44616i
$765$			54.3107i			1.96361i
$766$	−51.3316	+	16.6787i	−1.85469	+	0.602624i
$767$	15.6783	+	21.5793i	0.566109	+	0.779182i
$768$	48.4475	−	66.6823i	1.74820	−	2.40619i
$769$	−9.56167	−	6.94696i	−0.344803	−	0.250514i	0.401883	−	0.915691i	$-0.368356\pi$
$769$	−9.56167	−	6.94696i	−0.344803	−	0.250514i	−0.746685	+	0.665177i	$0.768356\pi$
$770$	37.1592			1.33913
$771$	−20.6830	−	15.0271i	−0.744880	−	0.541187i
$772$	−8.47882	−	2.75494i	−0.305160	−	0.0991523i
$773$	−5.77972	+	1.87795i	−0.207882	+	0.0675450i	−0.411107	−	0.911587i	$-0.634858\pi$
$773$	−5.77972	+	1.87795i	−0.207882	+	0.0675450i	0.203225	+	0.979132i	$0.434858\pi$
$774$	37.5962	−	27.3152i	1.35137	−	0.981826i
$775$	14.7648	−	10.7272i	0.530367	−	0.385334i
$776$		−	15.4752i		−	0.555528i
$777$	8.09246	+	24.9060i	0.290315	+	0.893499i
$778$	−50.1676			−1.79859
$779$	−23.8750	+	10.1585i	−0.855411	+	0.363965i
$780$	155.015			5.55043
$781$	−7.93857	−	24.4324i	−0.284065	−	0.874261i
$782$		−	16.6907i		−	0.596858i
$783$	61.2795	−	44.5221i	2.18995	−	1.59109i
$784$	6.09795	−	4.43042i	0.217784	−	0.158229i
$785$	20.6302	−	6.70316i	0.736324	−	0.239246i
$786$	130.625	+	42.4425i	4.65922	+	1.51387i
$787$	−6.72817	−	4.88830i	−0.239834	−	0.174249i	0.461376	−	0.887205i	$-0.347356\pi$
$787$	−6.72817	−	4.88830i	−0.239834	−	0.174249i	−0.701209	+	0.712956i	$0.747356\pi$
$788$	−68.5773			−2.44297
$789$	55.5673	+	40.3720i	1.97825	+	1.43728i
$790$	55.2904	−	76.1007i	1.96714	−	2.70754i
$791$	4.53176	+	6.23744i	0.161131	+	0.221778i
$792$	−179.971	+	58.4762i	−6.39500	+	2.07786i
$793$		−	42.9896i		−	1.52660i
$794$	30.6308	+	42.1596i	1.08704	+	1.49619i
$795$	−12.4738	+	38.3905i	−0.442401	+	1.36157i
$796$	−68.3945	+	94.1369i	−2.42418	+	3.33659i
$797$	−1.76406	−	5.42922i	−0.0624862	−	0.192313i	0.914940	−	0.403590i	$-0.132238\pi$
$797$	−1.76406	−	5.42922i	−0.0624862	−	0.192313i	−0.977426	+	0.211277i	$0.932238\pi$
$798$	29.3923	+	9.55013i	1.04048	+	0.338071i
$799$	−1.44222	+	4.43870i	−0.0510221	+	0.157030i
$800$	−7.07514	+	21.7750i	−0.250144	+	0.769864i
$801$	3.92120	+	1.27408i	0.138549	+	0.0450173i
$802$	17.2623	+	53.1279i	0.609552	+	1.87601i
$803$	−10.3323	+	14.2212i	−0.364619	+	0.501855i
$804$	39.6516	−	122.035i	1.39840	−	4.30384i
$805$	3.59848	+	4.95289i	0.126830	+	0.174566i
$806$			49.8501i			1.75590i
$807$	24.5418	−	7.97410i	0.863911	−	0.280702i
$808$	−10.1819	−	14.0142i	−0.358199	−	0.493018i
$809$	−8.82634	+	12.1484i	−0.310317	+	0.427115i	−0.935480	−	0.353379i	$-0.885033\pi$
$809$	−8.82634	+	12.1484i	−0.310317	+	0.427115i	0.625163	+	0.780494i	$0.285033\pi$
$810$	48.9706	+	35.5792i	1.72065	+	1.25013i
$811$	−8.36119			−0.293601			−0.146801	−	0.989166i	$-0.546898\pi$
$811$	−8.36119			−0.293601			−0.146801	+	0.989166i	$0.546898\pi$
$812$	32.2520	+	23.4324i	1.13182	+	0.822317i
$813$	15.7711	+	5.12435i	0.553118	+	0.179719i
$814$	105.549	−	34.2949i	3.69948	−	1.20203i
$815$	−19.9051	+	14.4619i	−0.697244	+	0.506577i
$816$	56.9980	−	41.4115i	1.99533	−	1.44969i
$817$			12.4942i			0.437116i
$818$	11.6080	+	35.7257i	0.405864	+	1.24912i
$819$	22.9438			0.801721
$820$	−33.4712	−	78.6659i	−1.16887	−	2.74713i
$821$	16.9316			0.590918			0.295459	−	0.955355i	$-0.404528\pi$
$821$	16.9316			0.590918			0.295459	+	0.955355i	$0.404528\pi$
$822$	18.6747	+	57.4748i	0.651355	+	2.00466i
$823$		−	8.09976i		−	0.282340i	−0.989985	−	0.141170i	$-0.954914\pi$
$823$		−	8.09976i		−	0.282340i	0.989985	−	0.141170i	$-0.0450864\pi$
$824$	−20.9289	+	15.2057i	−0.729093	+	0.529717i
$825$	−43.4594	+	31.5751i	−1.51306	+	1.09930i
$826$	−16.6641	+	5.41449i	−0.579818	+	0.188394i
$827$	29.4159	+	9.55781i	1.02289	+	0.332358i	0.771976	−	0.635651i	$-0.219268\pi$
$827$	29.4159	+	9.55781i	1.02289	+	0.332358i	0.250915	+	0.968009i	$0.419268\pi$
$828$	−45.0762	−	32.7498i	−1.56651	−	1.13813i
$829$	−21.3747			−0.742372			−0.371186	−	0.928558i	$-0.621049\pi$
$829$	−21.3747			−0.742372			−0.371186	+	0.928558i	$0.621049\pi$
$830$	−44.2847	−	32.1747i	−1.53715	−	1.11680i
$831$	16.7928	−	23.1133i	0.582535	−	0.801791i
$832$	−2.26128	−	3.11239i	−0.0783959	−	0.107903i
$833$	−2.98095	+	0.968571i	−0.103284	+	0.0335590i
$834$		−	99.2943i		−	3.43828i
$835$	9.34571	+	12.8633i	0.323422	+	0.445152i
$836$	28.0970	−	86.4737i	0.971755	−	2.99076i
$837$	−25.3888	+	34.9447i	−0.877565	+	1.20786i
$838$	−11.7804	−	36.2564i	−0.406947	−	1.25246i
$839$	−31.3557	−	10.1881i	−1.08252	−	0.351732i	−0.287168	−	0.957880i	$-0.592714\pi$
$839$	−31.3557	−	10.1881i	−1.08252	−	0.351732i	−0.795352	+	0.606148i	$0.792714\pi$
$840$	−17.6073	+	54.1897i	−0.607510	+	1.86972i
$841$	−14.8567	+	45.7243i	−0.512301	+	1.57670i
$842$	73.1254	+	23.7599i	2.52007	+	0.818819i
$843$	−8.23587	−	25.3474i	−0.283658	−	0.873011i
$844$	−62.9585	+	86.6549i	−2.16712	+	2.98279i
$845$	−1.96071	+	6.03443i	−0.0674504	+	0.207591i
$846$	13.1911	+	18.1560i	0.453520	+	0.624216i
$847$		−	13.4184i		−	0.461063i
$848$	33.0013	−	10.7228i	1.13327	−	0.368222i
$849$	16.9571	+	23.3395i	0.581966	+	0.801008i
$850$	17.1761	−	23.6408i	0.589134	−	0.810874i
$851$	14.7924	+	10.7473i	0.507076	+	0.368413i
$852$	70.3985			2.41181
$853$	4.08836	+	2.97037i	0.139983	+	0.101703i	0.655573	−	0.755132i	$-0.272427\pi$
$853$	4.08836	+	2.97037i	0.139983	+	0.101703i	−0.515590	+	0.856835i	$0.672427\pi$
$854$	26.8575	+	8.72654i	0.919045	+	0.298616i
$855$	−66.7770	+	21.6971i	−2.28372	+	0.742027i
$856$	46.4748	−	33.7659i	1.58848	−	1.15410i
$857$	1.17742	−	0.855444i	0.0402198	−	0.0292214i	−0.567494	−	0.823378i	$-0.692087\pi$
$857$	1.17742	−	0.855444i	0.0402198	−	0.0292214i	0.607714	+	0.794156i	$0.292087\pi$
$858$		−	146.731i		−	5.00932i
$859$	4.97186	+	15.3018i	0.169638	+	0.522091i	0.999348	−	0.0361030i	$-0.0114944\pi$
$859$	4.97186	+	15.3018i	0.169638	+	0.522091i	−0.829710	+	0.558194i	$0.811494\pi$
$860$	−41.1672			−1.40379
$861$	−7.47605	−	17.5706i	−0.254783	−	0.598805i
$862$	32.7931			1.11694
$863$	−10.4842	−	32.2669i	−0.356885	−	1.09838i	−0.954908	−	0.296901i	$-0.904047\pi$
$863$	−10.4842	−	32.2669i	−0.356885	−	1.09838i	0.598023	−	0.801479i	$-0.295953\pi$
$864$		−	54.1884i		−	1.84353i
$865$	−13.8392	+	10.0548i	−0.470547	+	0.341872i
$866$	−37.0899	+	26.9474i	−1.26036	+	0.915709i
$867$	20.3518	−	6.61270i	0.691184	−	0.224579i
$868$	−21.6208	−	7.02502i	−0.733857	−	0.238445i
$869$	−50.0080	−	36.3330i	−1.69641	−	1.23251i
$870$	−196.879			−6.67481
$871$	29.8465	+	21.6848i	1.01131	+	0.734760i
$872$	17.6396	−	24.2789i	0.597353	−	0.822186i
$873$	8.24914	+	11.3540i	0.279191	+	0.384273i
$874$	20.5218	−	6.66794i	0.694160	−	0.225546i
$875$		−	3.98306i		−	0.134652i
$876$	−28.3139	−	38.9708i	−0.956640	−	1.31670i
$877$	−5.68525	+	17.4974i	−0.191977	+	0.590845i	0.808021	+	0.589153i	$0.200539\pi$
$877$	−5.68525	+	17.4974i	−0.191977	+	0.590845i	−0.999999	+	0.00169175i	$0.999461\pi$
$878$	48.9989	−	67.4412i	1.65363	−	2.27603i
$879$	−14.4417	−	44.4470i	−0.487106	−	1.49916i
$880$	104.156	+	33.8422i	3.51109	+	1.14082i
$881$	0.179410	−	0.552167i	0.00604447	−	0.0186030i	−0.947989	−	0.318304i	$-0.896887\pi$
$881$	0.179410	−	0.552167i	0.00604447	−	0.0186030i	0.954033	+	0.299701i	$0.0968868\pi$
$882$	−4.65741	+	14.3340i	−0.156823	+	0.482652i
$883$	52.9497	+	17.2044i	1.78190	+	0.578974i	0.999064	−	0.0432566i	$-0.0137733\pi$
$883$	52.9497	+	17.2044i	1.78190	+	0.578974i	0.782834	+	0.622230i	$0.213773\pi$
$884$	17.1233	+	52.7000i	0.575918	+	1.77249i
$885$	35.3099	−	48.5999i	1.18693	−	1.63367i
$886$	−19.4581	+	59.8858i	−0.653707	+	2.01190i
$887$	11.5042	+	15.8342i	0.386273	+	0.531659i	0.957233	−	0.289319i	$-0.0934288\pi$
$887$	11.5042	+	15.8342i	0.386273	+	0.531659i	−0.570960	+	0.820978i	$0.693429\pi$
$888$			170.173i			5.71063i
$889$	−3.28464	+	1.06724i	−0.110163	+	0.0357942i
$890$	−3.09239	−	4.25631i	−0.103657	−	0.142672i
$891$	23.3802	−	32.1800i	0.783265	−	1.07807i
$892$	16.4783	+	11.9722i	0.551733	+	0.400857i
$893$	−6.03371			−0.201910
$894$	−127.336	−	92.5150i	−4.25875	−	3.09416i
$895$	36.4349	+	11.8384i	1.21788	+	0.395714i
$896$	−9.54326	+	3.10079i	−0.318818	+	0.103590i
$897$	19.5575	−	14.2094i	0.653007	−	0.474437i
$898$	58.8656	−	42.7683i	1.96437	−	1.42720i
$899$		−	43.9535i		−	1.46593i
$900$	−30.1441	−	92.7741i	−1.00480	−	3.09247i
$901$	−14.4294			−0.480712
$902$	−74.4621	+	31.6826i	−2.47932	+	1.05491i
$903$	−9.19499			−0.305990
$904$	15.4819	+	47.6482i	0.514919	+	1.58476i
$905$			52.6891i			1.75145i
$906$	−101.277	+	73.5819i	−3.36470	+	2.44460i
$907$	18.0021	−	13.0793i	0.597751	−	0.434292i	−0.247329	−	0.968932i	$-0.579553\pi$
$907$	18.0021	−	13.0793i	0.597751	−	0.434292i	0.845080	+	0.534640i	$0.179553\pi$
$908$	112.731	−	36.6286i	3.74112	−	1.21556i
$909$	14.9407	+	4.85453i	0.495551	+	0.161014i
$910$	−23.6857	−	17.2086i	−0.785172	−	0.570461i
$911$	−16.1283			−0.534354			−0.267177	−	0.963647i	$-0.586091\pi$
$911$	−16.1283			−0.534354			−0.267177	+	0.963647i	$0.586091\pi$
$912$	73.6876	+	53.5372i	2.44004	+	1.77279i
$913$	−21.1430	+	29.1008i	−0.699730	+	0.963096i
$914$	25.3250	+	34.8569i	0.837676	+	1.15296i
$915$	−92.0806	+	29.9188i	−3.04409	+	0.989085i
$916$			42.0469i			1.38927i
$917$	−10.5851	−	14.5691i	−0.349550	−	0.481114i
$918$	−21.3718	+	65.7757i	−0.705375	+	2.17092i
$919$	5.35751	−	7.37398i	0.176728	−	0.243245i	−0.711459	−	0.702728i	$-0.751965\pi$
$919$	5.35751	−	7.37398i	0.176728	−	0.243245i	0.888187	+	0.459483i	$0.151965\pi$
$920$	12.2935	+	37.8355i	0.405304	+	1.24740i
$921$	24.0524	+	7.81508i	0.792552	+	0.257516i
$922$	−23.9681	+	73.7662i	−0.789347	+	2.42936i
$923$	−6.25466	+	19.2499i	−0.205875	+	0.633617i
$924$	63.6396	+	20.6778i	2.09359	+	0.680249i
$925$	9.89221	+	30.4451i	0.325254	+	1.00103i
$926$	−5.10897	+	7.03189i	−0.167891	+	0.231082i
$927$	7.24977	−	22.3125i	0.238114	−	0.732839i
$928$	32.4112	+	44.6102i	1.06395	+	1.46440i
$929$		−	15.8644i		−	0.520493i	−0.965542	−	0.260247i	$-0.916196\pi$
$929$		−	15.8644i		−	0.520493i	0.965542	−	0.260247i	$-0.0838038\pi$
$930$	106.775	−	34.6934i	3.50130	−	1.13764i
$931$	−2.38178	−	3.27824i	−0.0780598	−	0.107440i
$932$	7.10988	−	9.78591i	0.232892	−	0.320548i
$933$	24.2828	+	17.6425i	0.794984	+	0.577590i
$934$	−61.7278			−2.01980
$935$	−36.8432	−	26.7681i	−1.20490	−	0.875411i
$936$	141.796	+	46.0723i	4.63475	+	1.50592i
$937$	44.9934	−	14.6193i	1.46987	−	0.477590i	0.538802	−	0.842432i	$-0.318877\pi$
$937$	44.9934	−	14.6193i	1.46987	−	0.477590i	0.931069	+	0.364842i	$0.118877\pi$
$938$	−19.6060	+	14.2446i	−0.640160	+	0.465103i
$939$	52.1509	−	37.8898i	1.70188	−	1.23649i
$940$		−	19.8805i		−	0.648430i
$941$	−11.2454	−	34.6097i	−0.366589	−	1.12824i	−0.948980	−	0.315335i	$-0.897883\pi$
$941$	−11.2454	−	34.6097i	−0.366589	−	1.12824i	0.582392	−	0.812908i	$-0.302117\pi$
$942$	56.2665			1.83326
$943$	−11.4338	−	6.85679i	−0.372335	−	0.223288i
$944$	−51.6399			−1.68073
$945$	−7.83912	−	24.1263i	−0.255007	−	0.784830i
$946$			38.9672i			1.26693i
$947$	20.4971	−	14.8920i	0.666067	−	0.483926i	−0.202639	−	0.979253i	$-0.564952\pi$
$947$	20.4971	−	14.8920i	0.666067	−	0.483926i	0.868706	+	0.495327i	$0.164952\pi$
$948$	137.039	−	99.5644i	4.45081	−	3.23370i
$949$	13.1718	−	4.27978i	0.427575	−	0.138928i
$950$	35.9291	+	11.6741i	1.16569	+	0.378757i
$951$	19.4008	+	14.0955i	0.629114	+	0.457078i
$952$	−20.3677			−0.660119
$953$	−38.3748	−	27.8809i	−1.24308	−	0.903151i	−0.245280	−	0.969452i	$-0.578880\pi$
$953$	−38.3748	−	27.8809i	−1.24308	−	0.903151i	−0.997800	+	0.0663016i	$0.978880\pi$
$954$	−40.7830	+	56.1330i	−1.32040	+	1.81737i
$955$	18.8053	+	25.8832i	0.608524	+	0.837562i
$956$	97.8189	−	31.7833i	3.16369	−	1.02795i
$957$			129.375i			4.18209i
$958$	18.8344	+	25.9233i	0.608511	+	0.837544i
$959$	2.44856	−	7.53588i	0.0790680	−	0.243346i
$960$	−5.09276	+	7.00959i	−0.164368	+	0.226233i
$961$	−1.83417	−	5.64498i	−0.0591666	−	0.182096i
$962$	−83.1599	−	27.0203i	−2.68118	−	0.871169i
$963$	−16.0989	+	49.5473i	−0.518779	+	1.59664i
$964$	−21.8841	+	67.3524i	−0.704840	+	2.16928i
$965$	−5.49025	−	1.78389i	−0.176737	−	0.0574254i
$966$	4.90722	+	15.1029i	0.157887	+	0.485927i
$967$	−1.39319	+	1.91756i	−0.0448019	+	0.0616645i	−0.830830	−	0.556526i	$-0.812134\pi$
$967$	−1.39319	+	1.91756i	−0.0448019	+	0.0616645i	0.786028	+	0.618190i	$0.212134\pi$
$968$	26.9449	−	82.9279i	0.866042	−	2.66540i
$969$	−22.2627	−	30.6420i	−0.715181	−	0.984363i
$970$		−	17.9082i		−	0.574998i
$971$	18.0951	−	5.87945i	0.580699	−	0.188681i	−0.00391453	−	0.999992i	$-0.501246\pi$
$971$	18.0951	−	5.87945i	0.580699	−	0.188681i	0.584614	+	0.811312i	$0.301246\pi$
$972$	−5.01322	−	6.90010i	−0.160799	−	0.221321i
$973$	−7.65243	+	10.5327i	−0.245326	+	0.337662i
$974$	0.0824536	+	0.0599061i	0.00264198	+	0.00191951i
$975$	42.3240			1.35545
$976$	67.3328	+	48.9202i	2.15527	+	1.56590i
$977$	12.2820	+	3.99068i	0.392937	+	0.127673i	0.498820	−	0.866706i	$-0.333767\pi$
$977$	12.2820	+	3.99068i	0.392937	+	0.127673i	−0.105883	+	0.994379i	$0.533767\pi$
$978$	−60.6966	+	19.7215i	−1.94086	+	0.630625i
$979$	−2.79695	+	2.03210i	−0.0893909	+	0.0649463i
$980$	10.8015	−	7.84775i	0.345041	−	0.250687i
$981$			27.2160i			0.868939i
$982$	−22.5044	−	69.2615i	−0.718145	−	2.21022i
$983$	36.3257			1.15861			0.579306	−	0.815110i	$-0.303324\pi$
$983$	36.3257			1.15861			0.579306	+	0.815110i	$0.303324\pi$
$984$	−10.9203	−	123.601i	−0.348128	−	3.94026i
$985$	−44.4055			−1.41488
$986$	−21.7476	−	66.9322i	−0.692584	−	2.13156i
$987$		−	4.44046i		−	0.141341i
$988$	−57.9557	+	42.1073i	−1.84382	+	1.33961i
$989$	−5.19387	+	3.77357i	−0.165156	+	0.119992i
$990$	−208.266	+	67.6698i	−6.61913	+	2.15069i
$991$	5.15545	+	1.67511i	0.163768	+	0.0532115i	0.389754	−	0.920919i	$-0.372560\pi$
$991$	5.15545	+	1.67511i	0.163768	+	0.0532115i	−0.225985	+	0.974131i	$0.572560\pi$
$992$	−25.4390	−	18.4825i	−0.807689	−	0.586820i
$993$	15.7999			0.501393
$994$	−10.7566	−	7.81513i	−0.341179	−	0.247881i
$995$	−44.2871	+	60.9560i	−1.40400	+	1.93243i
$996$	−57.9388	−	79.7459i	−1.83586	−	2.52685i
$997$	−56.2866	+	18.2886i	−1.78261	+	0.579206i	−0.999110	−	0.0421800i	$-0.986570\pi$
$997$	−56.2866	+	18.2886i	−1.78261	+	0.579206i	−0.783504	+	0.621386i	$0.786570\pi$
$998$			9.11435i			0.288510i
$999$	−44.5332	−	61.2947i	−1.40897	−	1.93928i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.2	✓	88
41.25	even	10	inner	287.2.n.a.148.2	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.2	✓	88	1.1	even	1	trivial
287.2.n.a.148.2	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)

\(f(q)\)	\(=\)	\(q+(-0.790312 - 2.43233i) q^{2} -2.98213i q^{3} +(-3.67361 + 2.66903i) q^{4} +(-2.37875 + 1.72826i) q^{5} +(-7.25354 + 2.35682i) q^{6} +(0.951057 + 0.309017i) q^{7} +(5.25714 + 3.81954i) q^{8} -5.89312 q^{9} +O(q^{10})\)	\(q+(-0.790312 - 2.43233i) q^{2} -2.98213i q^{3} +(-3.67361 + 2.66903i) q^{4} +(-2.37875 + 1.72826i) q^{5} +(-7.25354 + 2.35682i) q^{6} +(0.951057 + 0.309017i) q^{7} +(5.25714 + 3.81954i) q^{8} -5.89312 q^{9} +(6.08367 + 4.42004i) q^{10} +(2.90454 - 3.99776i) q^{11} +(7.95941 + 10.9552i) q^{12} +(-3.70277 + 1.20310i) q^{13} -2.55750i q^{14} +(5.15391 + 7.09375i) q^{15} +(2.32921 - 7.16857i) q^{16} +(-1.84233 + 2.53575i) q^{17} +(4.65741 + 14.3340i) q^{18} +(-3.85381 - 1.25218i) q^{19} +(4.12581 - 12.6979i) q^{20} +(0.921530 - 2.83618i) q^{21} +(-12.0194 - 3.90533i) q^{22} +(-0.643416 - 1.98023i) q^{23} +(11.3904 - 15.6775i) q^{24} +(1.12648 - 3.46694i) q^{25} +(5.85269 + 8.05553i) q^{26} +8.62768i q^{27} +(-4.31859 + 1.40319i) q^{28} +(-5.16039 - 7.10266i) q^{29} +(13.1812 - 18.1423i) q^{30} +(4.05030 + 2.94272i) q^{31} -6.28077 q^{32} +(-11.9219 - 8.66173i) q^{33} +(7.62380 + 2.47712i) q^{34} +(-2.79639 + 0.908602i) q^{35} +(21.6490 - 15.7289i) q^{36} +(-7.10442 + 5.16167i) q^{37} +10.3633i q^{38} +(3.58781 + 11.0421i) q^{39} -19.1066 q^{40} +(4.82890 - 4.20496i) q^{41} -7.62682 q^{42} +(-0.952811 - 2.93245i) q^{43} +22.4385i q^{44} +(14.0183 - 10.1849i) q^{45} +(-4.30808 + 3.13000i) q^{46} +(1.41614 - 0.460133i) q^{47} +(-21.3776 - 6.94601i) q^{48} +(0.809017 + 0.587785i) q^{49} -9.32301 q^{50} +(7.56195 + 5.49408i) q^{51} +(10.3914 - 14.3025i) q^{52} +(2.70593 + 3.72440i) q^{53} +(20.9854 - 6.81856i) q^{54} +14.5295i q^{55} +(3.81954 + 5.25714i) q^{56} +(-3.73416 + 11.4926i) q^{57} +(-13.1977 + 18.1651i) q^{58} +(-2.11710 - 6.51576i) q^{59} +(-37.8669 - 12.3037i) q^{60} +(-3.41213 + 10.5015i) q^{61} +(3.95666 - 12.1773i) q^{62} +(-5.60469 - 1.82107i) q^{63} +(0.305350 + 0.939772i) q^{64} +(6.72868 - 9.26124i) q^{65} +(-11.6462 + 35.8434i) q^{66} +(-5.56973 - 7.66608i) q^{67} -14.2326i q^{68} +(-5.90531 + 1.91875i) q^{69} +(4.42004 + 6.08367i) q^{70} +(3.05576 - 4.20590i) q^{71} +(-30.9810 - 22.5090i) q^{72} -3.55729 q^{73} +(18.1696 + 13.2010i) q^{74} +(-10.3389 - 3.35930i) q^{75} +(17.4995 - 5.68592i) q^{76} +(3.99776 - 2.90454i) q^{77} +(24.0227 - 17.4535i) q^{78} -12.5090i q^{79} +(6.84857 + 21.0777i) q^{80} +8.04952 q^{81} +(-14.0442 - 8.42225i) q^{82} -7.27928 q^{83} +(4.18451 + 12.8786i) q^{84} -9.21595i q^{85} +(-6.37967 + 4.63510i) q^{86} +(-21.1811 + 15.3890i) q^{87} +(30.5392 - 9.92278i) q^{88} +(-0.665387 - 0.216197i) q^{89} +(-35.8518 - 26.0479i) q^{90} -3.89332 q^{91} +(7.64896 + 5.55729i) q^{92} +(8.77557 - 12.0785i) q^{93} +(-2.23839 - 3.08088i) q^{94} +(11.3313 - 3.68177i) q^{95} +18.7301i q^{96} +(-1.39979 - 1.92665i) q^{97} +(0.790312 - 2.43233i) q^{98} +(-17.1168 + 23.5593i) 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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