LMFDB - Embedded newform 287.2.n.a.64.5

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			64.5
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.492340 - 1.51527i) q^{2} +1.02578i q^{3} +(-0.435599 + 0.316481i) q^{4} +(-1.62966 + 1.18402i) q^{5} +(1.55432 - 0.505030i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-1.88391 - 1.36874i) q^{8} +1.94778 q^{9} +O(q^{10})$	\(q+(-0.492340 - 1.51527i) q^{2} +1.02578i q^{3} +(-0.435599 + 0.316481i) q^{4} +(-1.62966 + 1.18402i) q^{5} +(1.55432 - 0.505030i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-1.88391 - 1.36874i) q^{8} +1.94778 q^{9} +(2.59645 + 1.88643i) q^{10} +(3.03025 - 4.17078i) q^{11} +(-0.324638 - 0.446826i) q^{12} +(2.40353 - 0.780953i) q^{13} -1.59324i q^{14} +(-1.21454 - 1.67167i) q^{15} +(-1.47925 + 4.55266i) q^{16} +(2.62512 - 3.61317i) q^{17} +(-0.958972 - 2.95141i) q^{18} +(5.94832 + 1.93273i) q^{19} +(0.335159 - 1.03151i) q^{20} +(-0.316982 + 0.975570i) q^{21} +(-7.81175 - 2.53819i) q^{22} +(0.142295 + 0.437940i) q^{23} +(1.40402 - 1.93247i) q^{24} +(-0.291184 + 0.896173i) q^{25} +(-2.36670 - 3.25749i) q^{26} +5.07532i q^{27} +(-0.512077 + 0.166384i) q^{28} +(-1.47634 - 2.03201i) q^{29} +(-1.93506 + 2.66338i) q^{30} +(-3.64140 - 2.64563i) q^{31} +2.96951 q^{32} +(4.27828 + 3.10835i) q^{33} +(-6.76737 - 2.19885i) q^{34} +(-1.91578 + 0.622476i) q^{35} +(-0.848452 + 0.616437i) q^{36} +(-4.89959 + 3.55976i) q^{37} -9.96485i q^{38} +(0.801083 + 2.46548i) q^{39} +4.69075 q^{40} +(1.66043 + 6.18409i) q^{41} +1.63431 q^{42} +(-2.51777 - 7.74891i) q^{43} +2.77580i q^{44} +(-3.17423 + 2.30622i) q^{45} +(0.593539 - 0.431231i) q^{46} +(-5.79954 + 1.88438i) q^{47} +(-4.67001 - 1.51738i) q^{48} +(0.809017 + 0.587785i) q^{49} +1.50130 q^{50} +(3.70630 + 2.69279i) q^{51} +(-0.799816 + 1.10085i) q^{52} +(-5.91226 - 8.13752i) q^{53} +(7.69045 - 2.49878i) q^{54} +10.3848i q^{55} +(-1.36874 - 1.88391i) q^{56} +(-1.98254 + 6.10164i) q^{57} +(-2.35217 + 3.23748i) q^{58} +(3.36616 + 10.3600i) q^{59} +(1.05810 + 0.343798i) q^{60} +(0.297566 - 0.915814i) q^{61} +(-2.21603 + 6.82025i) q^{62} +(1.85245 + 0.601899i) q^{63} +(1.49649 + 4.60573i) q^{64} +(-2.99228 + 4.11852i) q^{65} +(2.60361 - 8.01310i) q^{66} +(1.18846 + 1.63577i) q^{67} +2.40469i q^{68} +(-0.449228 + 0.145963i) q^{69} +(1.88643 + 2.59645i) q^{70} +(6.22041 - 8.56166i) q^{71} +(-3.66945 - 2.66601i) q^{72} +5.46418 q^{73} +(7.80624 + 5.67157i) q^{74} +(-0.919272 - 0.298690i) q^{75} +(-3.20275 + 1.04064i) q^{76} +(4.17078 - 3.03025i) q^{77} +(3.34145 - 2.42771i) q^{78} +12.2974i q^{79} +(-2.97976 - 9.17077i) q^{80} +0.637221 q^{81} +(8.55305 - 5.56066i) q^{82} -0.800704 q^{83} +(-0.170672 - 0.525276i) q^{84} +8.99646i q^{85} +(-10.5021 + 7.63019i) q^{86} +(2.08438 - 1.51439i) q^{87} +(-11.4174 + 3.70975i) q^{88} +(-6.14006 - 1.99503i) q^{89} +(5.05733 + 3.67437i) q^{90} +2.52722 q^{91} +(-0.200583 - 0.145732i) q^{92} +(2.71383 - 3.73526i) q^{93} +(5.71069 + 7.86009i) q^{94} +(-11.9822 + 3.89324i) q^{95} +3.04605i q^{96} +(2.11513 + 2.91123i) q^{97} +(0.492340 - 1.51527i) q^{98} +(5.90227 - 8.12378i) 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 $

$2$	−0.492340	−	1.51527i	−0.348137	−	1.07145i	−0.959883	−	0.280401i	$-0.909533\pi$
$2$	−0.492340	−	1.51527i	−0.348137	−	1.07145i	0.611746	−	0.791054i	$-0.290467\pi$
$3$			1.02578i			0.592232i	0.955152	+	0.296116i	$0.0956914\pi$
$3$			1.02578i			0.592232i	−0.955152	+	0.296116i	$0.904309\pi$
$4$	−0.435599	+	0.316481i	−0.217799	+	0.158240i
$5$	−1.62966	+	1.18402i	−0.728808	+	0.529510i	−0.889186	−	0.457546i	$-0.848729\pi$
$5$	−1.62966	+	1.18402i	−0.728808	+	0.529510i	0.160378	+	0.987056i	$0.448729\pi$
$6$	1.55432	−	0.505030i	0.634549	−	0.206178i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	−1.88391	−	1.36874i	−0.666063	−	0.483923i
$9$	1.94778			0.649262
$10$	2.59645	+	1.88643i	0.821071	+	0.596543i
$11$	3.03025	−	4.17078i	0.913654	−	1.25754i	−0.0522490	−	0.998634i	$-0.516639\pi$
$11$	3.03025	−	4.17078i	0.913654	−	1.25754i	0.965903	−	0.258903i	$-0.0833610\pi$
$12$	−0.324638	−	0.446826i	−0.0937150	−	0.128988i
$13$	2.40353	−	0.780953i	0.666618	−	0.216597i	0.0438910	−	0.999036i	$-0.486025\pi$
$13$	2.40353	−	0.780953i	0.666618	−	0.216597i	0.622727	+	0.782439i	$0.286025\pi$
$14$		−	1.59324i		−	0.425813i
$15$	−1.21454	−	1.67167i	−0.313593	−	0.431623i
$16$	−1.47925	+	4.55266i	−0.369812	+	1.13817i
$17$	2.62512	−	3.61317i	0.636686	−	0.876323i	−0.361747	−	0.932276i	$-0.617820\pi$
$17$	2.62512	−	3.61317i	0.636686	−	0.876323i	0.998433	+	0.0559531i	$0.0178197\pi$
$18$	−0.958972	−	2.95141i	−0.226032	−	0.695655i
$19$	5.94832	+	1.93273i	1.36464	+	0.443398i	0.897589	−	0.440833i	$-0.145317\pi$
$19$	5.94832	+	1.93273i	1.36464	+	0.443398i	0.467050	+	0.884231i	$0.345317\pi$
$20$	0.335159	−	1.03151i	0.0749439	−	0.230654i
$21$	−0.316982	+	0.975570i	−0.0691711	+	0.212887i
$22$	−7.81175	−	2.53819i	−1.66547	−	0.541144i
$23$	0.142295	+	0.437940i	0.0296707	+	0.0913169i	0.964795	−	0.263002i	$-0.0847127\pi$
$23$	0.142295	+	0.437940i	0.0296707	+	0.0913169i	−0.935125	+	0.354319i	$0.884713\pi$
$24$	1.40402	−	1.93247i	0.286594	−	0.394463i
$25$	−0.291184	+	0.896173i	−0.0582368	+	0.179235i
$26$	−2.36670	−	3.25749i	−0.464149	−	0.638846i
$27$			5.07532i			0.976745i
$28$	−0.512077	+	0.166384i	−0.0967734	+	0.0314436i
$29$	−1.47634	−	2.03201i	−0.274149	−	0.377334i	0.649636	−	0.760246i	$-0.274921\pi$
$29$	−1.47634	−	2.03201i	−0.274149	−	0.377334i	−0.923785	+	0.382912i	$0.874921\pi$
$30$	−1.93506	+	2.66338i	−0.353292	+	0.486264i
$31$	−3.64140	−	2.64563i	−0.654015	−	0.475170i	0.210621	−	0.977568i	$-0.432451\pi$
$31$	−3.64140	−	2.64563i	−0.654015	−	0.475170i	−0.864637	+	0.502398i	$0.832451\pi$
$32$	2.96951			0.524940
$33$	4.27828	+	3.10835i	0.744753	+	0.541095i
$34$	−6.76737	−	2.19885i	−1.16059	−	0.377100i
$35$	−1.91578	+	0.622476i	−0.323827	+	0.105218i
$36$	−0.848452	+	0.616437i	−0.141409	+	0.102739i
$37$	−4.89959	+	3.55976i	−0.805487	+	0.585221i	−0.912519	−	0.409035i	$-0.865865\pi$
$37$	−4.89959	+	3.55976i	−0.805487	+	0.585221i	0.107032	+	0.994256i	$0.465865\pi$
$38$		−	9.96485i		−	1.61651i
$39$	0.801083	+	2.46548i	0.128276	+	0.394793i
$40$	4.69075			0.741673
$41$	1.66043	+	6.18409i	0.259315	+	0.965793i
$41$	1.66043	+	6.18409i	0.259315	+	0.965793i
$42$	1.63431			0.252180
$43$	−2.51777	−	7.74891i	−0.383957	−	1.18170i	−0.937234	−	0.348701i	$-0.886623\pi$
$43$	−2.51777	−	7.74891i	−0.383957	−	1.18170i	0.553277	−	0.832997i	$-0.313377\pi$
$44$			2.77580i			0.418468i
$45$	−3.17423	+	2.30622i	−0.473187	+	0.343790i
$46$	0.593539	−	0.431231i	0.0875125	−	0.0635815i
$47$	−5.79954	+	1.88438i	−0.845950	+	0.274866i	−0.699749	−	0.714389i	$-0.746705\pi$
$47$	−5.79954	+	1.88438i	−0.845950	+	0.274866i	−0.146201	+	0.989255i	$0.546705\pi$
$48$	−4.67001	−	1.51738i	−0.674058	−	0.219015i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	1.50130			0.212316
$51$	3.70630	+	2.69279i	0.518986	+	0.377066i
$52$	−0.799816	+	1.10085i	−0.110915	+	0.152661i
$53$	−5.91226	−	8.13752i	−0.812111	−	1.11777i	−0.990994	−	0.133904i	$-0.957249\pi$
$53$	−5.91226	−	8.13752i	−0.812111	−	1.11777i	0.178884	−	0.983870i	$-0.442751\pi$
$54$	7.69045	−	2.49878i	1.04654	−	0.340041i
$55$			10.3848i			1.40029i
$56$	−1.36874	−	1.88391i	−0.182906	−	0.251748i
$57$	−1.98254	+	6.10164i	−0.262594	+	0.808183i
$58$	−2.35217	+	3.23748i	−0.308855	+	0.425102i
$59$	3.36616	+	10.3600i	0.438237	+	1.34876i	0.889733	+	0.456482i	$0.150891\pi$
$59$	3.36616	+	10.3600i	0.438237	+	1.34876i	−0.451496	+	0.892273i	$0.649109\pi$
$60$	1.05810	+	0.343798i	0.136600	+	0.0443842i
$61$	0.297566	−	0.915814i	0.0380994	−	0.117258i	−0.930198	−	0.367058i	$-0.880365\pi$
$61$	0.297566	−	0.915814i	0.0380994	−	0.117258i	0.968297	+	0.249800i	$0.0803650\pi$
$62$	−2.21603	+	6.82025i	−0.281436	+	0.866172i
$63$	1.85245	+	0.601899i	0.233387	+	0.0758321i
$64$	1.49649	+	4.60573i	0.187062	+	0.575716i
$65$	−2.99228	+	4.11852i	−0.371146	+	0.510839i
$66$	2.60361	−	8.01310i	0.320483	−	0.986345i
$67$	1.18846	+	1.63577i	0.145193	+	0.199841i	0.875419	−	0.483364i	$-0.160585\pi$
$67$	1.18846	+	1.63577i	0.145193	+	0.199841i	−0.730226	+	0.683205i	$0.760585\pi$
$68$			2.40469i			0.291612i
$69$	−0.449228	+	0.145963i	−0.0540808	+	0.0175719i
$70$	1.88643	+	2.59645i	0.225472	+	0.310336i
$71$	6.22041	−	8.56166i	0.738226	−	1.01608i	−0.260492	−	0.965476i	$-0.583885\pi$
$71$	6.22041	−	8.56166i	0.738226	−	1.01608i	0.998719	−	0.0506056i	$-0.0161152\pi$
$72$	−3.66945	−	2.66601i	−0.432449	−	0.314192i
$73$	5.46418			0.639534			0.319767	−	0.947496i	$-0.396395\pi$
$73$	5.46418			0.639534			0.319767	+	0.947496i	$0.396395\pi$
$74$	7.80624	+	5.67157i	0.907457	+	0.659306i
$75$	−0.919272	−	0.298690i	−0.106148	−	0.0344897i
$76$	−3.20275	+	1.04064i	−0.367381	+	0.119369i
$77$	4.17078	−	3.03025i	0.475304	−	0.345329i
$78$	3.34145	−	2.42771i	0.378345	−	0.274884i
$79$			12.2974i			1.38357i	0.722104	+	0.691785i	$0.243175\pi$
$79$			12.2974i			1.38357i	−0.722104	+	0.691785i	$0.756825\pi$
$80$	−2.97976	−	9.17077i	−0.333148	−	1.02532i
$81$	0.637221			0.0708024
$82$	8.55305	−	5.56066i	0.944526	−	0.614073i
$83$	−0.800704			−0.0878887			−0.0439443	−	0.999034i	$-0.513992\pi$
$83$	−0.800704			−0.0878887			−0.0439443	+	0.999034i	$0.513992\pi$
$84$	−0.170672	−	0.525276i	−0.0186219	−	0.0573123i
$85$			8.99646i			0.975803i
$86$	−10.5021	+	7.63019i	−1.13247	+	0.822785i
$87$	2.08438	−	1.51439i	0.223469	−	0.162360i
$88$	−11.4174	+	3.70975i	−1.21710	+	0.395460i
$89$	−6.14006	−	1.99503i	−0.650845	−	0.211472i	−0.0350582	−	0.999385i	$-0.511162\pi$
$89$	−6.14006	−	1.99503i	−0.650845	−	0.211472i	−0.615787	+	0.787913i	$0.711162\pi$
$90$	5.05733	+	3.67437i	0.533090	+	0.387312i
$91$	2.52722			0.264924
$92$	−0.200583	−	0.145732i	−0.0209123	−	0.0151937i
$93$	2.71383	−	3.73526i	0.281411	−	0.387329i
$94$	5.71069	+	7.86009i	0.589012	+	0.810706i
$95$	−11.9822	+	3.89324i	−1.22934	+	0.399438i
$96$			3.04605i			0.310886i
$97$	2.11513	+	2.91123i	0.214759	+	0.295591i	0.902782	−	0.430098i	$-0.141521\pi$
$97$	2.11513	+	2.91123i	0.214759	+	0.295591i	−0.688023	+	0.725689i	$0.741521\pi$
$98$	0.492340	−	1.51527i	0.0497338	−	0.153065i
$99$	5.90227	−	8.12378i	0.593201	−	0.816471i
$100$	−0.156782	−	0.482526i	−0.0156782	−	0.0482526i
$101$	−0.460159	−	0.149515i	−0.0457875	−	0.0148773i	0.286034	−	0.958220i	$-0.407663\pi$
$101$	−0.460159	−	0.149515i	−0.0457875	−	0.0148773i	−0.331821	+	0.943342i	$0.607663\pi$
$102$	2.25553	−	6.94180i	0.223331	−	0.687341i
$103$	−2.56792	+	7.90325i	−0.253025	+	0.778731i	0.741187	+	0.671298i	$0.234263\pi$
$103$	−2.56792	+	7.90325i	−0.253025	+	0.778731i	−0.994212	+	0.107432i	$0.965737\pi$
$104$	−5.59695	−	1.81856i	−0.548826	−	0.178324i
$105$	−0.638521	−	1.96516i	−0.0623132	−	0.191780i
$106$	−9.41967	+	12.9651i	−0.914919	+	1.25928i
$107$	−5.91321	+	18.1990i	−0.571651	+	1.75936i	0.0756580	+	0.997134i	$0.475894\pi$
$107$	−5.91321	+	18.1990i	−0.571651	+	1.75936i	−0.647309	+	0.762228i	$0.724106\pi$
$108$	−1.60624	−	2.21080i	−0.154561	−	0.212734i
$109$		−	18.5002i		−	1.77200i	−0.463683	−	0.886001i	$-0.653472\pi$
$109$		−	18.5002i		−	1.77200i	0.463683	−	0.886001i	$-0.346528\pi$
$110$	15.7358	−	5.11287i	1.50035	−	0.487493i
$111$	−3.65151	−	5.02588i	−0.346586	−	0.477035i
$112$	−2.81370	+	3.87273i	−0.265870	+	0.365938i
$113$	−5.93877	−	4.31477i	−0.558672	−	0.405899i	0.272300	−	0.962212i	$-0.412216\pi$
$113$	−5.93877	−	4.31477i	−0.558672	−	0.405899i	−0.830973	+	0.556313i	$0.812216\pi$
$114$	10.2217			0.957350
$115$	−0.750424	−	0.545215i	−0.0699774	−	0.0508416i
$116$	1.28618	+	0.417906i	0.119419	+	0.0388016i
$117$	4.68155	−	1.52113i	0.432810	−	0.140628i
$118$	14.0408	−	10.2013i	1.29256	−	0.939103i
$119$	3.61317	−	2.62512i	0.331219	−	0.240645i
$120$			4.81166i			0.439243i
$121$	−4.81381	−	14.8154i	−0.437619	−	1.34685i
$122$	−1.53421			−0.138900
$123$	−6.34349	+	1.70323i	−0.571973	+	0.153575i
$124$	2.42348			0.217635
$125$	−3.69894	−	11.3842i	−0.330843	−	1.01823i
$126$		−	3.10330i		−	0.276464i
$127$	−0.816442	+	0.593180i	−0.0724475	+	0.0526362i	−0.623420	−	0.781888i	$-0.714257\pi$
$127$	−0.816442	+	0.593180i	−0.0724475	+	0.0526362i	0.550972	+	0.834524i	$0.314257\pi$
$128$	11.0469	−	8.02603i	0.976416	−	0.709408i
$129$	7.94864	−	2.58267i	0.699839	−	0.227391i
$130$	7.71386	+	2.50639i	0.676551	+	0.219825i
$131$	−16.1423	−	11.7280i	−1.41036	−	1.02468i	−0.993271	−	0.115815i	$-0.963052\pi$
$131$	−16.1423	−	11.7280i	−1.41036	−	1.02468i	−0.417084	−	0.908868i	$-0.636948\pi$
$132$	−2.84735			−0.247830
$133$	5.05995	+	3.67627i	0.438753	+	0.318773i
$134$	1.89350	−	2.60618i	0.163574	−	0.225140i
$135$	−6.00928	−	8.27106i	−0.517196	−	0.711859i
$136$	−9.89099	+	3.21378i	−0.848145	+	0.275579i
$137$			1.70990i			0.146086i	0.997329	+	0.0730432i	$0.0232711\pi$
$137$			1.70990i			0.146086i	−0.997329	+	0.0730432i	$0.976729\pi$
$138$	0.442346	+	0.608837i	0.0376550	+	0.0518277i
$139$	−2.43222	+	7.48560i	−0.206298	+	0.634921i	0.793359	+	0.608754i	$0.208330\pi$
$139$	−2.43222	+	7.48560i	−0.206298	+	0.634921i	−0.999658	+	0.0261671i	$0.991670\pi$
$140$	0.637511	−	0.877459i	0.0538795	−	0.0741588i
$141$	−1.93296	−	5.94902i	−0.162784	−	0.500998i
$142$	−16.0357	−	5.21033i	−1.34569	−	0.437241i
$143$	4.02610	−	12.3911i	0.336679	−	1.03619i
$144$	−2.88126	+	8.86761i	−0.240105	+	0.738967i
$145$	4.81187	+	1.56347i	0.399604	+	0.129839i
$146$	−2.69023	−	8.27968i	−0.222645	−	0.685231i
$147$	−0.602936	+	0.829870i	−0.0497293	+	0.0684465i
$148$	1.00766	−	3.10125i	0.0828289	−	0.254921i
$149$	−5.98960	−	8.24398i	−0.490687	−	0.675373i	0.489827	−	0.871819i	$-0.337060\pi$
$149$	−5.98960	−	8.24398i	−0.490687	−	0.675373i	−0.980515	+	0.196447i	$0.937060\pi$
$150$			1.54000i			0.125740i
$151$	16.1974	−	5.26286i	1.31813	−	0.428285i	0.436276	−	0.899813i	$-0.356297\pi$
$151$	16.1974	−	5.26286i	1.31813	−	0.428285i	0.881851	+	0.471528i	$0.156297\pi$
$152$	−8.56070	−	11.7828i	−0.694365	−	0.955711i
$153$	5.11318	−	7.03768i	0.413376	−	0.568963i
$154$	−6.64507	−	4.82793i	−0.535475	−	0.389046i
$155$	9.06675			0.728259
$156$	−1.12923	−	0.820432i	−0.0904105	−	0.0656871i
$157$	−19.7928	−	6.43108i	−1.57964	−	0.513256i	−0.617676	−	0.786432i	$-0.711926\pi$
$157$	−19.7928	−	6.43108i	−1.57964	−	0.513256i	−0.961964	+	0.273176i	$0.911926\pi$
$158$	18.6339	−	6.05452i	1.48243	−	0.481672i
$159$	8.34727	−	6.06465i	0.661981	−	0.480958i
$160$	−4.83930	+	3.51596i	−0.382580	+	0.277961i
$161$			0.460478i			0.0362907i
$162$	−0.313729	−	0.965560i	−0.0246489	−	0.0758615i
$163$	7.44523			0.583156			0.291578	−	0.956547i	$-0.405820\pi$
$163$	7.44523			0.583156			0.291578	+	0.956547i	$0.405820\pi$
$164$	−2.68043	−	2.16829i	−0.209306	−	0.169315i
$165$	−10.6525			−0.829297
$166$	0.394218	+	1.21328i	0.0305973	+	0.0941688i
$167$			20.3547i			1.57509i	0.616256	+	0.787546i	$0.288649\pi$
$167$			20.3547i			1.57509i	−0.616256	+	0.787546i	$0.711351\pi$
$168$	1.93247	−	1.40402i	0.149093	−	0.108322i
$169$	−5.35017	+	3.88712i	−0.411551	+	0.299010i
$170$	13.6320	−	4.42931i	1.04553	−	0.339713i
$171$	11.5861	+	3.76454i	0.886008	+	0.287881i
$172$	3.54912	+	2.57859i	0.270618	+	0.196615i
$173$	−19.6026			−1.49035			−0.745177	−	0.666866i	$-0.767635\pi$
$173$	−19.6026			−1.49035			−0.745177	+	0.666866i	$0.767635\pi$
$174$	−3.32093	−	2.41280i	−0.251759	−	0.182914i
$175$	−0.553865	+	0.762330i	−0.0418683	+	0.0576267i
$176$	14.5057	+	19.9653i	1.09340	+	1.50494i
$177$	−10.6270	+	3.45293i	−0.798776	+	0.259538i
$178$			10.2861i			0.770972i
$179$	13.0942	+	18.0227i	0.978709	+	1.34708i	0.937522	+	0.347925i	$0.113114\pi$
$179$	13.0942	+	18.0227i	0.978709	+	1.34708i	0.0411864	+	0.999151i	$0.486886\pi$
$180$	0.652819	−	2.00917i	0.0486582	−	0.149755i
$181$	−12.6304	+	17.3843i	−0.938811	+	1.29216i	0.0175106	+	0.999847i	$0.494426\pi$
$181$	−12.6304	+	17.3843i	−0.938811	+	1.29216i	−0.956322	+	0.292316i	$0.905574\pi$
$182$	−1.24425	−	3.82941i	−0.0922299	−	0.283855i
$183$	0.939419	+	0.305236i	0.0694439	+	0.0225637i
$184$	0.331355	−	1.01981i	0.0244278	−	0.0751811i
$185$	3.76985	−	11.6024i	0.277165	−	0.853027i
$186$	−6.99604	−	2.27315i	−0.512975	−	0.166676i
$187$	−7.11497	−	21.8976i	−0.520298	−	1.60131i
$188$	1.92990	−	2.65628i	0.140752	−	0.193729i
$189$	−1.56836	+	4.82691i	−0.114081	+	0.351106i
$190$	11.7986	+	16.2394i	0.855959	+	1.17813i
$191$			15.6482i			1.13226i	0.824316	+	0.566130i	$0.191560\pi$
$191$			15.6482i			1.13226i	−0.824316	+	0.566130i	$0.808440\pi$
$192$	−4.72444	+	1.53507i	−0.340957	+	0.110784i
$193$	3.34861	+	4.60896i	0.241038	+	0.331760i	0.912347	−	0.409417i	$-0.134268\pi$
$193$	3.34861	+	4.60896i	0.241038	+	0.331760i	−0.671309	+	0.741177i	$0.734268\pi$
$194$	3.36993	−	4.63831i	0.241947	−	0.333011i
$195$	−4.22467	−	3.06940i	−0.302535	−	0.219805i
$196$	−0.538429			−0.0384592
$197$	8.15422	+	5.92438i	0.580964	+	0.422095i	0.839071	−	0.544021i	$-0.183099\pi$
$197$	8.15422	+	5.92438i	0.580964	+	0.422095i	−0.258108	+	0.966116i	$0.583099\pi$
$198$	−15.2156	−	4.94385i	−1.08133	−	0.351344i
$199$	17.7574	−	5.76972i	1.25879	−	0.409005i	0.397725	−	0.917505i	$-0.369800\pi$
$199$	17.7574	−	5.76972i	1.25879	−	0.409005i	0.861062	+	0.508500i	$0.169800\pi$
$200$	1.77519	−	1.28975i	0.125525	−	0.0911993i
$201$	−1.67793	+	1.21909i	−0.118352	+	0.0859879i
$202$			0.770875i			0.0542386i
$203$	−0.776157	−	2.38877i	−0.0544755	−	0.167658i
$204$	−2.46668			−0.172702
$205$	−10.0280	−	8.11201i	−0.700388	−	0.566567i
$206$	13.2398			0.922462
$207$	0.277161	+	0.853014i	0.0192640	+	0.0592886i
$208$			12.0977i			0.838823i
$209$	26.0859	−	18.9525i	1.80440	−	1.31097i
$210$	−2.66338	+	1.93506i	−0.183791	+	0.133532i
$211$	−5.47114	+	1.77768i	−0.376649	+	0.122381i	−0.491223	−	0.871034i	$-0.663450\pi$
$211$	−5.47114	+	1.77768i	−0.376649	+	0.122381i	0.114574	+	0.993415i	$0.463450\pi$
$212$	5.15074	+	1.67358i	0.353754	+	0.114942i
$213$	8.78233	+	6.38074i	0.601756	+	0.437201i
$214$	30.4876			2.08409
$215$	13.2780	+	9.64702i	0.905551	+	0.657922i
$216$	6.94679	−	9.56143i	0.472669	−	0.650573i
$217$	−2.64563	−	3.64140i	−0.179597	−	0.247195i
$218$	−28.0328	+	9.10841i	−1.89862	+	0.616899i
$219$			5.60502i			0.378752i
$220$	−3.28660	−	4.52362i	−0.221583	−	0.304983i
$221$	3.48784	−	10.7345i	0.234617	−	0.722078i
$222$	−5.81775	+	8.00745i	−0.390462	+	0.537425i
$223$	−2.21029	−	6.80256i	−0.148012	−	0.455533i	0.849374	−	0.527791i	$-0.176980\pi$
$223$	−2.21029	−	6.80256i	−0.148012	−	0.455533i	−0.997386	+	0.0722578i	$0.976980\pi$
$224$	2.82417	+	0.917628i	0.188698	+	0.0613116i
$225$	−0.567164	+	1.74555i	−0.0378109	+	0.116370i
$226$	−3.61413	+	11.1231i	−0.240408	+	0.739901i
$227$	0.0437235	+	0.0142066i	0.00290203	+	0.000942927i	0.310468	−	0.950584i	$-0.399514\pi$
$227$	0.0437235	+	0.0142066i	0.00290203	+	0.000942927i	−0.307566	+	0.951527i	$0.599514\pi$
$228$	−1.06746	−	3.28530i	−0.0706943	−	0.217575i
$229$	−1.11287	+	1.53173i	−0.0735404	+	0.101220i	−0.844203	−	0.536024i	$-0.819926\pi$
$229$	−1.11287	+	1.53173i	−0.0735404	+	0.101220i	0.770662	+	0.637244i	$0.219926\pi$
$230$	−0.456682	+	1.40552i	−0.0301127	+	0.0926775i
$231$	3.10835	+	4.27828i	0.204515	+	0.281490i
$232$			5.84884i			0.383995i
$233$	−2.22526	+	0.723030i	−0.145782	+	0.0473673i	−0.380999	−	0.924576i	$-0.624420\pi$
$233$	−2.22526	+	0.723030i	−0.145782	+	0.0473673i	0.235217	+	0.971943i	$0.424420\pi$
$234$	−4.60983	−	6.34489i	−0.301354	−	0.414778i
$235$	7.22015	−	9.93768i	0.470991	−	0.648263i
$236$	−4.74503	−	3.44747i	−0.308875	−	0.224411i
$237$	−12.6144			−0.819394
$238$	−5.75667	−	4.18246i	−0.373149	−	0.271109i
$239$	21.0137	+	6.82777i	1.35926	+	0.441652i	0.895797	−	0.444463i	$-0.146605\pi$
$239$	21.0137	+	6.82777i	1.35926	+	0.441652i	0.463467	+	0.886114i	$0.346605\pi$
$240$	9.40715	−	3.05657i	0.607229	−	0.197301i
$241$	3.07445	−	2.23372i	0.198043	−	0.143887i	−0.484344	−	0.874877i	$-0.660942\pi$
$241$	3.07445	−	2.23372i	0.198043	−	0.143887i	0.682387	+	0.730991i	$0.260942\pi$
$242$	−20.0792	+	14.5884i	−1.29074	+	0.937777i
$243$			15.8796i			1.01868i
$244$	0.160218	+	0.493101i	0.0102569	+	0.0315676i
$245$	−2.01438			−0.128694
$246$	5.70399	+	8.77351i	0.363673	+	0.559378i
$247$	15.8063			1.00573
$248$	3.23889	+	9.96827i	0.205670	+	0.632986i
$249$		−	0.821343i		−	0.0520505i
$250$	−15.4289	+	11.2097i	−0.975808	+	0.708966i
$251$	−0.122390	+	0.0889212i	−0.00772516	+	0.00561266i	−0.591641	−	0.806201i	$-0.701520\pi$
$251$	−0.122390	+	0.0889212i	−0.00772516	+	0.00561266i	0.583916	+	0.811814i	$0.301520\pi$
$252$	−0.997415	+	0.324080i	−0.0628313	+	0.0204151i
$253$	2.25774	+	0.733585i	0.141943	+	0.0461201i
$254$	1.30079	+	0.945080i	0.0816189	+	0.0592996i
$255$	−9.22834			−0.577901
$256$	−9.76466	−	7.09444i	−0.610291	−	0.443403i
$257$	−4.69034	+	6.45570i	−0.292575	+	0.402695i	−0.929849	−	0.367943i	$-0.880062\pi$
$257$	−4.69034	+	6.45570i	−0.292575	+	0.402695i	0.637273	+	0.770638i	$0.280062\pi$
$258$	−7.82686	−	10.7728i	−0.487279	−	0.670682i
$259$	−5.75981	+	1.87148i	−0.357897	+	0.116288i
$260$		−	2.74102i		−	0.169991i
$261$	−2.87559	−	3.95791i	−0.177995	−	0.244988i
$262$	−9.82362	+	30.2340i	−0.606905	+	1.86786i
$263$	−7.43685	+	10.2359i	−0.458576	+	0.631175i	−0.974213	−	0.225632i	$-0.927555\pi$
$263$	−7.43685	+	10.2359i	−0.458576	+	0.631175i	0.515637	+	0.856807i	$0.327555\pi$
$264$	−3.80537	−	11.7117i	−0.234204	−	0.720806i
$265$	19.2700	+	6.26120i	1.18375	+	0.384622i
$266$	3.07931	−	9.47714i	0.188805	−	0.581081i
$267$	2.04645	−	6.29832i	0.125241	−	0.385451i
$268$	−1.03538	−	0.336415i	−0.0632459	−	0.0205498i
$269$	1.75336	+	5.39630i	0.106904	+	0.329018i	0.990173	−	0.139850i	$-0.0446620\pi$
$269$	1.75336	+	5.39630i	0.106904	+	0.329018i	−0.883268	+	0.468868i	$0.844662\pi$
$270$	−9.57425	+	13.1778i	−0.582670	+	0.801977i
$271$	3.66663	−	11.2847i	0.222732	−	0.685499i	−0.775782	−	0.631001i	$-0.782644\pi$
$271$	3.66663	−	11.2847i	0.222732	−	0.685499i	0.998514	−	0.0544975i	$-0.0173557\pi$
$272$	12.5663	+	17.2961i	0.761946	+	1.04873i
$273$			2.59236i			0.156897i
$274$	2.59095	−	0.841851i	0.156525	−	0.0508581i
$275$	2.85538	+	3.93009i	0.172186	+	0.236993i
$276$	0.149489	−	0.205754i	0.00899816	−	0.0123849i
$277$	−19.1394	−	13.9056i	−1.14997	−	0.835505i	−0.161497	−	0.986873i	$-0.551632\pi$
$277$	−19.1394	−	13.9056i	−1.14997	−	0.835505i	−0.988477	+	0.151368i	$0.951632\pi$
$278$	12.5402			0.752109
$279$	−7.09267	−	5.15313i	−0.424627	−	0.308510i
$280$	4.46117	+	1.44952i	0.266606	+	0.0866256i
$281$	−13.1550	+	4.27431i	−0.784760	+	0.254984i	−0.673871	−	0.738849i	$-0.735370\pi$
$281$	−13.1550	+	4.27431i	−0.784760	+	0.254984i	−0.110889	+	0.993833i	$0.535370\pi$
$282$	−8.06268	+	5.85788i	−0.480126	+	0.348832i
$283$	−11.4523	+	8.32061i	−0.680771	+	0.494609i	−0.873613	−	0.486621i	$-0.838229\pi$
$283$	−11.4523	+	8.32061i	−0.680771	+	0.494609i	0.192843	+	0.981230i	$0.438229\pi$
$284$			5.69808i			0.338119i
$285$	−3.99359	−	12.2910i	−0.236560	−	0.728056i
$286$	−20.7580			−1.22744
$287$	−0.331828	+	6.39452i	−0.0195872	+	0.377457i
$288$	5.78396			0.340823
$289$	−0.910453	−	2.80209i	−0.0535561	−	0.164829i
$290$		−	8.06102i		−	0.473360i
$291$	−2.98627	+	2.16965i	−0.175058	+	0.127187i
$292$	−2.38019	+	1.72931i	−0.139290	+	0.101200i
$293$	9.80207	−	3.18489i	0.572643	−	0.186063i	−0.00835901	−	0.999965i	$-0.502661\pi$
$293$	9.80207	−	3.18489i	0.572643	−	0.186063i	0.581002	+	0.813902i	$0.302661\pi$
$294$	1.55432	+	0.505030i	0.0906499	+	0.0294539i
$295$	−17.7521	−	12.8977i	−1.03357	−	0.750933i
$296$	14.1028			0.819706
$297$	21.1680	+	15.3795i	1.22829	+	0.892407i
$298$	−9.54290	+	13.1347i	−0.552805	+	0.760871i
$299$	0.684022	+	0.941476i	0.0395580	+	0.0544469i
$300$	0.494963	−	0.160823i	0.0285767	−	0.00928513i
$301$		−	8.14769i		−	0.469625i
$302$	−15.9493	−	21.9523i	−0.917777	−	1.26321i
$303$	0.153368	−	0.472019i	0.00881078	−	0.0271168i
$304$	−17.5981	+	24.2217i	−1.00932	+	1.38921i
$305$	0.599410	+	1.84479i	0.0343221	+	0.105633i
$306$	−13.1814	−	4.28289i	−0.753529	−	0.244837i
$307$	6.91999	−	21.2975i	0.394945	−	1.21551i	−0.534060	−	0.845447i	$-0.679334\pi$
$307$	6.91999	−	21.2975i	0.394945	−	1.21551i	0.929005	−	0.370068i	$-0.120666\pi$
$308$	−0.857770	+	2.63994i	−0.0488760	+	0.150425i
$309$	−8.10696	−	2.63411i	−0.461189	−	0.149849i
$310$	−4.46392	−	13.7385i	−0.253534	−	0.780297i
$311$	−4.94762	+	6.80981i	−0.280554	+	0.386149i	−0.925917	−	0.377727i	$-0.876706\pi$
$311$	−4.94762	+	6.80981i	−0.280554	+	0.386149i	0.645364	+	0.763876i	$0.276706\pi$
$312$	1.86543	−	5.74121i	0.105609	−	0.325032i
$313$	−12.3891	−	17.0522i	−0.700275	−	0.963846i	−0.999952	−	0.00980497i	$-0.996879\pi$
$313$	−12.3891	−	17.0522i	−0.700275	−	0.963846i	0.299677	−	0.954041i	$-0.403121\pi$
$314$			33.1577i			1.87120i
$315$	−3.73154	+	1.21245i	−0.210248	+	0.0683138i
$316$	−3.89190	−	5.35675i	−0.218937	−	0.301340i
$317$	−1.08537	+	1.49389i	−0.0609606	+	0.0839051i	−0.838409	−	0.545042i	$-0.816514\pi$
$317$	−1.08537	+	1.49389i	−0.0609606	+	0.0839051i	0.777448	+	0.628947i	$0.216514\pi$
$318$	−13.2992	−	9.66247i	−0.745785	−	0.541844i
$319$	−12.9487			−0.724989
$320$	−7.89206	−	5.73392i	−0.441179	−	0.320536i
$321$	−18.6681	−	6.06562i	−1.04195	−	0.338550i
$322$	0.697746	−	0.226712i	0.0388839	−	0.0126341i
$323$	22.5984	−	16.4187i	1.25741	−	0.913559i
$324$	−0.277573	+	0.201668i	−0.0154207	+	0.0112038i
$325$			2.38138i			0.132095i
$326$	−3.66558	−	11.2815i	−0.203018	−	0.624825i
$327$	18.9771			1.04944
$328$	5.33632	−	13.9230i	0.294649	−	0.768767i
$329$	−6.09800			−0.336193
$330$	5.24466	+	16.1414i	0.288709	+	0.888555i
$331$		−	32.4521i		−	1.78373i	−0.452303	−	0.891864i	$-0.649397\pi$
$331$		−	32.4521i		−	1.78373i	0.452303	−	0.891864i	$-0.350603\pi$
$332$	0.348786	−	0.253408i	0.0191421	−	0.0139075i
$333$	−9.54334	+	6.93364i	−0.522972	+	0.379961i
$334$	30.8427	−	10.0214i	1.68764	−	0.548347i
$335$	−3.87357	−	1.25860i	−0.211636	−	0.0687646i
$336$	−3.97255	−	2.88622i	−0.216720	−	0.157456i
$337$	25.3010			1.37823			0.689117	−	0.724650i	$-0.257998\pi$
$337$	25.3010			1.37823			0.689117	+	0.724650i	$0.257998\pi$
$338$	8.52413	+	6.19314i	0.463651	+	0.336862i
$339$	4.42598	−	6.09184i	0.240386	−	0.330863i
$340$	−2.84721	−	3.91884i	−0.154411	−	0.212529i
$341$	−22.0687	+	7.17056i	−1.19509	+	0.388308i
$342$		−	19.4094i		−	1.04954i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	−5.86299	+	18.0444i	−0.316111	+	0.972890i
$345$	0.559268	−	0.769767i	0.0301100	−	0.0414428i
$346$	9.65112	+	29.7031i	0.518847	+	1.59685i
$347$	−20.9030	−	6.79179i	−1.12213	−	0.364602i	−0.311550	−	0.950230i	$-0.600848\pi$
$347$	−20.9030	−	6.79179i	−1.12213	−	0.364602i	−0.810580	+	0.585627i	$0.800848\pi$
$348$	−0.428677	+	1.31933i	−0.0229795	+	0.0707237i
$349$	−2.51692	+	7.74629i	−0.134728	+	0.414650i	−0.995548	−	0.0942603i	$-0.969951\pi$
$349$	−2.51692	+	7.74629i	−0.134728	+	0.414650i	0.860820	+	0.508910i	$0.169951\pi$
$350$	1.42782	+	0.463928i	0.0763203	+	0.0247980i
$351$	3.96358	+	12.1987i	0.211560	+	0.651116i
$352$	8.99835	−	12.3852i	0.479614	−	0.660131i
$353$	2.25866	−	6.95145i	0.120216	−	0.369988i	−0.872783	−	0.488109i	$-0.837687\pi$
$353$	2.25866	−	6.95145i	0.120216	−	0.369988i	0.992999	+	0.118121i	$0.0376869\pi$
$354$	10.4642	+	14.4027i	0.556166	+	0.765497i
$355$			21.3177i			1.13143i
$356$	3.30599	−	1.07418i	0.175217	−	0.0569315i
$357$	2.69279	+	3.70630i	0.142517	+	0.196158i
$358$	20.8623	−	28.7145i	1.10261	−	1.51761i
$359$	16.1602	+	11.7411i	0.852902	+	0.619670i	0.925945	−	0.377659i	$-0.123271\pi$
$359$	16.1602	+	11.7411i	0.852902	+	0.619670i	−0.0730423	+	0.997329i	$0.523271\pi$
$360$	9.13658			0.481540
$361$	16.2758	+	11.8251i	0.856622	+	0.622372i
$362$	32.5603	+	10.5795i	1.71133	+	0.556044i
$363$	15.1972	−	4.93788i	0.797648	−	0.259172i
$364$	−1.10085	+	0.799816i	−0.0577003	+	0.0419218i
$365$	−8.90477	+	6.46970i	−0.466097	+	0.338639i
$366$		−	1.57375i		−	0.0822612i
$367$	−3.51427	−	10.8158i	−0.183443	−	0.564581i	0.816475	−	0.577381i	$-0.195925\pi$
$367$	−3.51427	−	10.8158i	−0.183443	−	0.564581i	−0.999918	+	0.0128005i	$0.995925\pi$
$368$	−2.20429			−0.114906
$369$	3.23416	+	12.0453i	0.168363	+	0.627052i
$370$	−19.4368			−1.01047
$371$	−3.10826	−	9.56623i	−0.161373	−	0.496654i
$372$			2.48595i			0.128890i
$373$	4.50443	−	3.27266i	0.233231	−	0.169452i	−0.465031	−	0.885294i	$-0.653957\pi$
$373$	4.50443	−	3.27266i	0.233231	−	0.169452i	0.698262	+	0.715842i	$0.253957\pi$
$374$	−29.6777	+	21.5621i	−1.53460	+	1.11495i
$375$	11.6776	−	3.79428i	0.603028	−	0.195936i
$376$	13.5050	+	4.38805i	0.696469	+	0.226297i
$377$	−5.13532	−	3.73103i	−0.264482	−	0.192158i
$378$	8.08622			0.415910
$379$	−10.8687	−	7.89658i	−0.558288	−	0.405620i	0.272544	−	0.962143i	$-0.412135\pi$
$379$	−10.8687	−	7.89658i	−0.558288	−	0.405620i	−0.830832	+	0.556523i	$0.812135\pi$
$380$	3.98728	−	5.48801i	0.204543	−	0.281529i
$381$	−0.608469	−	0.837486i	−0.0311728	−	0.0429057i
$382$	23.7111	−	7.70421i	1.21317	−	0.394181i
$383$			24.0970i			1.23130i	0.788021	+	0.615649i	$0.211106\pi$
$383$			24.0970i			1.23130i	−0.788021	+	0.615649i	$0.788894\pi$
$384$	8.23291	+	11.3316i	0.420134	+	0.578265i
$385$	−3.20909	+	9.87657i	−0.163551	+	0.503357i
$386$	5.33515	−	7.34321i	0.271552	−	0.373759i
$387$	−4.90408	−	15.0932i	−0.249288	−	0.767231i
$388$	−1.84270	−	0.598729i	−0.0935489	−	0.0303959i
$389$	11.1568	−	34.3371i	0.565672	−	1.74096i	−0.100276	−	0.994960i	$-0.531973\pi$
$389$	11.1568	−	34.3371i	0.565672	−	1.74096i	0.665948	−	0.745998i	$-0.268027\pi$
$390$	−2.57099	+	7.91269i	−0.130187	+	0.400675i
$391$	1.95590	+	0.635510i	0.0989140	+	0.0321391i
$392$	−0.719589	−	2.21467i	−0.0363447	−	0.111858i
$393$	12.0303	−	16.5583i	0.606850	−	0.835257i
$394$	4.96237	−	15.2726i	0.250001	−	0.769423i
$395$	−14.5604	−	20.0407i	−0.732614	−	1.00836i
$396$			5.40666i			0.271695i
$397$	9.65669	−	3.13765i	0.484655	−	0.157474i	−0.0564899	−	0.998403i	$-0.517991\pi$
$397$	9.65669	−	3.13765i	0.484655	−	0.157474i	0.541145	+	0.840929i	$0.317991\pi$
$398$	−17.4853	−	24.0665i	−0.876460	−	1.20634i
$399$	−3.77102	+	5.19037i	−0.188787	+	0.259843i
$400$	−3.64924	−	2.65133i	−0.182462	−	0.132566i
$401$	27.0949			1.35305			0.676527	−	0.736417i	$-0.263484\pi$
$401$	27.0949			1.35305			0.676527	+	0.736417i	$0.263484\pi$
$402$	2.67336	+	1.94231i	0.133335	+	0.0968735i
$403$	−10.8183	−	3.51509i	−0.538899	−	0.175099i
$404$	0.247763	−	0.0805031i	0.0123267	−	0.00400518i
$405$	−1.03846	+	0.754483i	−0.0516013	+	0.0374906i
$406$	−3.23748	+	2.35217i	−0.160674	+	0.116736i
$407$			31.2220i			1.54762i
$408$	−3.29661	−	10.1459i	−0.163207	−	0.502298i
$409$	−19.1088			−0.944869			−0.472434	−	0.881366i	$-0.656625\pi$
$409$	−19.1088			−0.944869			−0.472434	+	0.881366i	$0.656625\pi$
$410$	−7.35466	+	19.1890i	−0.363221	+	0.947677i
$411$	−1.75397			−0.0865170
$412$	−1.38264	−	4.25534i	−0.0681180	−	0.209646i
$413$			10.8931i			0.536016i
$414$	1.15609	−	0.839945i	0.0568185	−	0.0412811i
$415$	1.30488	−	0.948050i	0.0640540	−	0.0465379i
$416$	7.13729	−	2.31905i	0.349935	−	0.113701i
$417$	−7.67855	−	2.49491i	−0.376020	−	0.122176i
$418$	−41.5612	−	30.1960i	−2.03282	−	1.47693i
$419$	3.54016			0.172948			0.0864741	−	0.996254i	$-0.472440\pi$
$419$	3.54016			0.172948			0.0864741	+	0.996254i	$0.472440\pi$
$420$	0.900076	+	0.653943i	0.0439192	+	0.0319092i
$421$	8.97057	−	12.3469i	0.437199	−	0.601753i	−0.532388	−	0.846501i	$-0.678705\pi$
$421$	8.97057	−	12.3469i	0.437199	−	0.601753i	0.969587	+	0.244748i	$0.0787052\pi$
$422$	5.38732	+	7.41501i	0.262251	+	0.360957i
$423$	−11.2963	+	3.67038i	−0.549243	+	0.178460i
$424$			23.4227i			1.13751i
$425$	2.47363	+	3.40466i	0.119989	+	0.165150i
$426$	5.34463	−	16.4491i	0.258948	−	0.796960i
$427$	0.566004	−	0.779038i	0.0273909	−	0.0377003i
$428$	−3.18384	−	9.79886i	−0.153897	−	0.473646i
$429$	12.7104	+	4.12987i	0.613666	+	0.199392i
$430$	8.08053	−	24.8693i	0.389678	−	1.19930i
$431$	−6.84057	+	21.0531i	−0.329499	+	1.01409i	0.639870	+	0.768483i	$0.278988\pi$
$431$	−6.84057	+	21.0531i	−0.329499	+	1.01409i	−0.969369	+	0.245610i	$0.921012\pi$
$432$	−23.1062	−	7.50766i	−1.11170	−	0.361212i
$433$	10.0467	+	30.9206i	0.482815	+	1.48595i	0.835121	+	0.550066i	$0.185398\pi$
$433$	10.0467	+	30.9206i	0.482815	+	1.48595i	−0.352306	+	0.935885i	$0.614602\pi$
$434$	−4.21514	+	5.80165i	−0.202333	+	0.278488i
$435$	−1.60377	+	4.93590i	−0.0768949	+	0.236658i
$436$	5.85497	+	8.05868i	0.280402	+	0.385941i
$437$			2.88003i			0.137771i
$438$	8.49309	−	2.75957i	0.405816	−	0.131858i
$439$	19.6901	+	27.1011i	0.939758	+	1.29347i	0.955929	+	0.293597i	$0.0948524\pi$
$439$	19.6901	+	27.1011i	0.939758	+	1.29347i	−0.0161711	+	0.999869i	$0.505148\pi$
$440$	14.2142	−	19.5641i	0.677633	−	0.932682i
$441$	1.57579	+	1.14488i	0.0750377	+	0.0545181i
$442$	−17.9828			−0.855352
$443$	9.36218	+	6.80202i	0.444811	+	0.323174i	0.787544	−	0.616259i	$-0.211353\pi$
$443$	9.36218	+	6.80202i	0.444811	+	0.323174i	−0.342733	+	0.939433i	$0.611353\pi$
$444$	3.18119	+	1.03363i	0.150972	+	0.0490539i
$445$	12.3684	−	4.01873i	0.586318	−	0.190506i
$446$	−9.21948	+	6.69834i	−0.436555	+	0.317176i
$447$	8.45647	−	6.14398i	0.399977	−	0.290600i
$448$			4.84275i			0.228799i
$449$	−12.0740	−	37.1600i	−0.569808	−	1.75369i	−0.653215	−	0.757173i	$-0.726580\pi$
$449$	−12.0740	−	37.1600i	−0.569808	−	1.75369i	0.0834069	−	0.996516i	$-0.473420\pi$
$450$	2.92421			0.137849
$451$	30.8240	+	11.8141i	1.45144	+	0.556302i
$452$	3.95246			0.185908
$453$	5.39851	+	16.6149i	0.253644	+	0.780637i
$454$		−	0.0732472i		−	0.00343766i
$455$	−4.11852	+	2.99228i	−0.193079	+	0.140280i
$456$	12.0865	−	8.78136i	0.566002	−	0.411225i
$457$	26.0148	−	8.45274i	1.21692	−	0.395402i	0.370963	−	0.928648i	$-0.379028\pi$
$457$	26.0148	−	8.45274i	1.21692	−	0.395402i	0.845961	+	0.533246i	$0.179028\pi$
$458$	2.86889	+	0.932158i	0.134054	+	0.0435569i
$459$	18.3380	+	13.3233i	0.855944	+	0.621880i
$460$	0.499434			0.0232862
$461$	9.42618	+	6.84852i	0.439021	+	0.318967i	0.785246	−	0.619184i	$-0.212537\pi$
$461$	9.42618	+	6.84852i	0.439021	+	0.318967i	−0.346225	+	0.938152i	$0.612537\pi$
$462$	4.95237	−	6.81635i	0.230405	−	0.317125i
$463$	−13.8725	−	19.0939i	−0.644710	−	0.887367i	0.354146	−	0.935190i	$-0.384772\pi$
$463$	−13.8725	−	19.0939i	−0.644710	−	0.887367i	−0.998856	+	0.0478230i	$0.984772\pi$
$464$	11.4349	−	3.71543i	0.530852	−	0.172484i
$465$			9.30045i			0.431298i
$466$	2.19117	+	3.01588i	0.101504	+	0.139708i
$467$	7.21189	−	22.1959i	0.333726	−	1.02710i	−0.633620	−	0.773645i	$-0.718432\pi$
$467$	7.21189	−	22.1959i	0.333726	−	1.02710i	0.967346	−	0.253459i	$-0.0815684\pi$
$468$	−1.55787	+	2.14422i	−0.0720126	+	0.0991168i
$469$	0.624808	+	1.92296i	0.0288510	+	0.0887941i
$470$	−18.6130	−	6.04773i	−0.858554	−	0.278961i
$471$	6.59685	−	20.3030i	0.303967	−	0.935513i
$472$	7.83858	−	24.1247i	0.360800	−	1.11043i
$473$	−39.9485	−	12.9800i	−1.83683	−	0.596823i
$474$	6.21057	+	19.1142i	0.285261	+	0.877943i
$475$	−3.46412	+	4.76795i	−0.158945	+	0.218768i
$476$	−0.743091	+	2.28700i	−0.0340595	+	0.104824i
$477$	−11.5158	−	15.8501i	−0.527272	−	0.725728i
$478$		−	35.2029i		−	1.61015i
$479$	−8.63943	+	2.80712i	−0.394745	+	0.128261i	−0.499662	−	0.866220i	$-0.666542\pi$
$479$	−8.63943	+	2.80712i	−0.394745	+	0.128261i	0.104917	+	0.994481i	$0.466542\pi$
$480$	−3.60658	−	4.96403i	−0.164617	−	0.226576i
$481$	−8.99628	+	12.3823i	−0.410195	+	0.564585i
$482$	−4.89836	−	3.55886i	−0.223114	−	0.162102i
$483$	−0.472347			−0.0214925
$484$	6.78567	+	4.93008i	0.308439	+	0.224094i
$485$	−6.89392	−	2.23997i	−0.313037	−	0.101712i
$486$	24.0618	−	7.81816i	1.09147	−	0.354639i
$487$	−9.53896	+	6.93046i	−0.432252	+	0.314049i	−0.782549	−	0.622590i	$-0.786081\pi$
$487$	−9.53896	+	6.93046i	−0.432252	+	0.314049i	0.350297	+	0.936639i	$0.386081\pi$
$488$	−1.81410	+	1.31802i	−0.0821204	+	0.0596640i
$489$			7.63713i			0.345363i
$490$	0.991757	+	3.05231i	0.0448030	+	0.137890i
$491$	−11.2409			−0.507293			−0.253647	−	0.967297i	$-0.581630\pi$
$491$	−11.2409			−0.507293			−0.253647	+	0.967297i	$0.581630\pi$
$492$	2.22418	−	2.74952i	0.100274	−	0.123958i
$493$	−11.2176			−0.505213
$494$	−7.78208	−	23.9508i	−0.350133	−	1.07760i
$495$			20.2274i			0.909156i
$496$	17.4312	−	12.6645i	0.782685	−	0.568654i
$497$	8.56166	−	6.22041i	0.384043	−	0.279023i
$498$	−1.24455	+	0.404380i	−0.0557697	+	0.0181207i
$499$	21.0604	+	6.84294i	0.942793	+	0.306332i	0.739784	−	0.672845i	$-0.234928\pi$
$499$	21.0604	+	6.84294i	0.942793	+	0.306332i	0.203009	+	0.979177i	$0.434928\pi$
$500$	5.21412	+	3.78828i	0.233182	+	0.169417i
$501$	−20.8793			−0.932819
$502$	0.194997	+	0.141673i	0.00870312	+	0.00632319i
$503$	−9.16943	+	12.6206i	−0.408845	+	0.562727i	−0.962936	−	0.269729i	$-0.913066\pi$
$503$	−9.16943	+	12.6206i	−0.408845	+	0.562727i	0.554091	+	0.832456i	$0.313066\pi$
$504$	−2.66601	−	3.66945i	−0.118754	−	0.163450i
$505$	0.926932	−	0.301179i	0.0412479	−	0.0134023i
$506$		−	3.78226i		−	0.168142i
$507$	−3.98732	−	5.48807i	−0.177083	−	0.243734i
$508$	0.167911	−	0.516776i	0.00744984	−	0.0229282i
$509$	−21.4362	+	29.5044i	−0.950142	+	1.30776i	0.00132254	+	0.999999i	$0.499579\pi$
$509$	−21.4362	+	29.5044i	−0.950142	+	1.30776i	−0.951464	+	0.307759i	$0.900421\pi$
$510$	4.54348	+	13.9834i	0.201189	+	0.619195i
$511$	5.19674	+	1.68852i	0.229890	+	0.0746959i
$512$	2.49664	−	7.68386i	0.110337	−	0.339582i
$513$	−9.80920	+	30.1896i	−0.433087	+	1.33290i
$514$	12.0913	+	3.92871i	0.533326	+	0.173288i
$515$	−5.17276	−	15.9201i	−0.227939	−	0.701524i
$516$	−2.64505	+	3.64060i	−0.116442	+	0.160268i
$517$	−9.71469	+	29.8988i	−0.427252	+	1.31495i
$518$	5.67157	+	7.80624i	0.249194	+	0.342987i
$519$		−	20.1078i		−	0.882635i
$520$	11.2744	−	3.66326i	0.494413	−	0.160645i
$521$	−16.4474	−	22.6379i	−0.720573	−	0.991783i	−0.999505	−	0.0314726i	$-0.989980\pi$
$521$	−16.4474	−	22.6379i	−0.720573	−	0.991783i	0.278932	−	0.960311i	$-0.410020\pi$
$522$	−4.58152	+	6.30592i	−0.200528	+	0.276003i
$523$	−12.9176	−	9.38520i	−0.564848	−	0.410386i	0.268382	−	0.963313i	$-0.413511\pi$
$523$	−12.9176	−	9.38520i	−0.564848	−	0.410386i	−0.833230	+	0.552926i	$0.813511\pi$
$524$	10.7432			0.469321
$525$	−0.781979	−	0.568141i	−0.0341284	−	0.0247957i
$526$	19.1716	+	6.22924i	0.835923	+	0.271608i
$527$	−19.1183	+	6.21190i	−0.832805	+	0.270595i
$528$	−20.4799	+	14.8795i	−0.891275	+	0.647549i
$529$	18.4358	−	13.3944i	0.801559	−	0.582366i
$530$		−	32.2818i		−	1.40223i
$531$	6.55656	+	20.1790i	0.284531	+	0.875695i
$532$	−3.36757			−0.146003
$533$	8.82037	+	13.5669i	0.382053	+	0.587648i
$534$	−10.5512			−0.456594
$535$	−11.9114	−	36.6596i	−0.514975	−	1.58493i
$536$		−	4.70833i		−	0.203369i
$537$	−18.4872	+	13.4317i	−0.797782	+	0.579622i
$538$	7.31358	−	5.31363i	0.315311	−	0.229087i
$539$	4.90304	−	1.59310i	0.211189	−	0.0686195i
$540$	5.23526	+	1.70104i	0.225290	+	0.0732011i
$541$	−24.0944	−	17.5056i	−1.03590	−	0.752625i	−0.0664188	−	0.997792i	$-0.521157\pi$
$541$	−24.0944	−	17.5056i	−1.03590	−	0.752625i	−0.969481	+	0.245167i	$0.921157\pi$
$542$	−18.9046			−0.812022
$543$	−17.8324	−	12.9560i	−0.765260	−	0.555994i
$544$	7.79533	−	10.7293i	0.334222	−	0.460017i
$545$	21.9047	+	30.1492i	0.938293	+	1.29145i
$546$	3.92811	−	1.27632i	0.168108	−	0.0546215i
$547$		−	19.6744i		−	0.841218i	−0.907242	−	0.420609i	$-0.861816\pi$
$547$		−	19.6744i		−	0.841218i	0.907242	−	0.420609i	$-0.138184\pi$
$548$	−0.541150	−	0.744829i	−0.0231168	−	0.0318175i
$549$	0.579595	−	1.78381i	0.0247365	−	0.0761311i
$550$	4.54932	−	6.26160i	0.193984	−	0.266995i
$551$	−4.85443	−	14.9404i	−0.206806	−	0.636482i
$552$	1.04609	+	0.339896i	0.0445246	+	0.0144669i
$553$	−3.80012	+	11.6956i	−0.161597	+	0.497346i
$554$	−11.6476	+	35.8475i	−0.494858	+	1.52302i
$555$	11.9015	+	3.86702i	0.505189	+	0.164146i
$556$	−1.30958	−	4.03047i	−0.0555385	−	0.170930i
$557$	9.88195	−	13.6013i	0.418712	−	0.576307i	−0.546604	−	0.837391i	$-0.684080\pi$
$557$	9.88195	−	13.6013i	0.418712	−	0.576307i	0.965316	+	0.261084i	$0.0840798\pi$
$558$	−4.31635	+	13.2844i	−0.182726	+	0.562372i
$559$	−12.1031	−	16.6585i	−0.511905	−	0.704577i
$560$		−	9.64272i		−	0.407479i
$561$	22.4620	−	7.29836i	0.948348	−	0.308137i
$562$	12.9534	+	17.8289i	0.546407	+	0.752065i
$563$	10.0488	−	13.8310i	0.423508	−	0.582909i	−0.542940	−	0.839772i	$-0.682689\pi$
$563$	10.0488	−	13.8310i	0.423508	−	0.582909i	0.966448	+	0.256863i	$0.0826888\pi$
$564$	2.72474	+	1.97964i	0.114732	+	0.0833580i
$565$	14.7870			0.622092
$566$	18.2464	+	13.2568i	0.766952	+	0.557224i
$567$	0.606034	+	0.196912i	0.0254510	+	0.00826954i
$568$	−23.4374	+	7.61526i	−0.983410	+	0.319529i
$569$	−14.3630	+	10.4353i	−0.602127	+	0.437471i	−0.846633	−	0.532177i	$-0.821374\pi$
$569$	−14.3630	+	10.4353i	−0.602127	+	0.437471i	0.244507	+	0.969648i	$0.421374\pi$
$570$	−16.6579	+	12.1027i	−0.697724	+	0.506926i
$571$			28.2620i			1.18273i	0.806404	+	0.591365i	$0.201411\pi$
$571$			28.2620i			1.18273i	−0.806404	+	0.591365i	$0.798589\pi$
$572$	2.16777	+	6.67171i	0.0906390	+	0.278958i
$573$	−16.0515			−0.670560
$574$	9.85277	−	2.64547i	0.411247	−	0.110420i
$575$	−0.433904			−0.0180951
$576$	2.91485	+	8.97097i	0.121452	+	0.373791i
$577$			7.28468i			0.303265i	0.988437	+	0.151633i	$0.0484531\pi$
$577$			7.28468i			0.303265i	−0.988437	+	0.151633i	$0.951547\pi$
$578$	−3.79765	+	2.75916i	−0.157962	+	0.114766i
$579$	−4.72776	+	3.43492i	−0.196479	+	0.142750i
$580$	−2.59085	+	0.841819i	−0.107579	+	0.0349546i
$581$	−0.761515	−	0.247431i	−0.0315930	−	0.0102652i
$582$	4.75786	+	3.45679i	0.197220	+	0.143288i
$583$	−51.8554			−2.14763
$584$	−10.2940	−	7.47904i	−0.425969	−	0.309485i
$585$	−5.82831	+	8.02198i	−0.240971	+	0.331668i
$586$	−9.65190	−	13.2847i	−0.398716	−	0.548786i
$587$	29.6651	−	9.63879i	1.22441	−	0.397835i	0.375725	−	0.926731i	$-0.377394\pi$
$587$	29.6651	−	9.63879i	1.22441	−	0.397835i	0.848687	+	0.528896i	$0.177394\pi$
$588$		−	0.552308i		−	0.0227768i
$589$	−16.5470	−	22.7749i	−0.681806	−	0.938425i
$590$	−10.8033	+	33.2493i	−0.444767	+	1.36885i
$591$	−6.07709	+	8.36439i	−0.249978	+	0.344065i
$592$	−8.95866	−	27.5719i	−0.368199	−	1.13320i
$593$	2.44114	+	0.793175i	0.100246	+	0.0325718i	0.358710	−	0.933449i	$-0.383217\pi$
$593$	2.44114	+	0.793175i	0.100246	+	0.0325718i	−0.258465	+	0.966021i	$0.583217\pi$
$594$	12.8821	−	39.6471i	0.528560	−	1.62674i
$595$	−2.78006	+	8.55614i	−0.113971	+	0.350767i
$596$	5.21812	+	1.69547i	0.213743	+	0.0694492i
$597$	5.91843	+	18.2151i	0.242225	+	0.745493i
$598$	1.08981	−	1.50000i	0.0445658	−	0.0613396i
$599$	−0.687713	+	2.11656i	−0.0280992	+	0.0864805i	−0.964123	−	0.265457i	$-0.914477\pi$
$599$	−0.687713	+	2.11656i	−0.0280992	+	0.0864805i	0.936023	+	0.351938i	$0.114477\pi$
$600$	1.32300	+	1.82095i	0.0540111	+	0.0743399i
$601$		−	28.7232i		−	1.17164i	−0.810440	−	0.585821i	$-0.800772\pi$
$601$		−	28.7232i		−	1.17164i	0.810440	−	0.585821i	$-0.199228\pi$
$602$	−12.3459	+	4.01143i	−0.503182	+	0.163494i
$603$	2.31486	+	3.18613i	0.0942682	+	0.129749i
$604$	−5.38998	+	7.41867i	−0.219315	+	0.301861i
$605$	25.3866	+	18.4444i	1.03211	+	0.749873i
$606$	−0.790744			−0.0321218
$607$	3.69145	+	2.68199i	0.149831	+	0.108859i	0.660175	−	0.751112i	$-0.270482\pi$
$607$	3.69145	+	2.68199i	0.149831	+	0.108859i	−0.510344	+	0.859970i	$0.670482\pi$
$608$	17.6636	+	5.73925i	0.716354	+	0.232757i
$609$	2.45034	−	0.796163i	0.0992927	−	0.0322621i
$610$	2.50024	−	1.81653i	0.101232	−	0.0735492i
$611$	−12.4677	+	9.05834i	−0.504390	+	0.366461i
$612$			4.68383i			0.189332i
$613$	−1.34059	−	4.12592i	−0.0541461	−	0.166644i	0.920327	−	0.391151i	$-0.127923\pi$
$613$	−1.34059	−	4.12592i	−0.0541461	−	0.166644i	−0.974473	+	0.224507i	$0.927923\pi$
$614$	−35.6784			−1.43986
$615$	8.32110	−	10.2865i	0.335539	−	0.414792i
$616$	−12.0050			−0.483695
$617$	−2.36991	−	7.29384i	−0.0954090	−	0.293639i	0.891951	−	0.452132i	$-0.149336\pi$
$617$	−2.36991	−	7.29384i	−0.0954090	−	0.293639i	−0.987360	+	0.158493i	$0.949336\pi$
$618$			13.5811i			0.546311i
$619$	−28.3383	+	20.5890i	−1.13901	+	0.827540i	−0.986981	−	0.160836i	$-0.948581\pi$
$619$	−28.3383	+	20.5890i	−1.13901	+	0.827540i	−0.152030	+	0.988376i	$0.548581\pi$
$620$	−3.94946	+	2.86945i	−0.158614	+	0.115240i
$621$	−2.22269	+	0.722194i	−0.0891933	+	0.0289807i
$622$	12.7546	+	4.14422i	0.511412	+	0.166168i
$623$	−5.22305	−	3.79476i	−0.209257	−	0.152034i
$624$	−12.4095			−0.496777
$625$	15.6954	+	11.4034i	0.627817	+	0.456136i
$626$	−19.7389	+	27.1683i	−0.788926	+	1.08586i
$627$	19.4410	+	26.7583i	0.776399	+	1.06862i
$628$	10.6570	−	3.46268i	0.425262	−	0.138176i
$629$			27.0479i			1.07847i
$630$	3.67437	+	5.05733i	0.146390	+	0.201489i
$631$	4.98594	−	15.3451i	0.198487	−	0.610880i	−0.801431	−	0.598087i	$-0.795928\pi$
$631$	4.98594	−	15.3451i	0.198487	−	0.610880i	0.999918	−	0.0127932i	$-0.00407231\pi$
$632$	16.8320	−	23.1673i	0.669541	−	0.921544i
$633$	−1.82350	−	5.61216i	−0.0724777	−	0.223064i
$634$	2.79801	+	0.909129i	0.111123	+	0.0361061i
$635$	0.628189	−	1.93337i	0.0249289	−	0.0767233i
$636$	−1.71671	+	5.28350i	−0.0680721	+	0.209504i
$637$	2.40353	+	0.780953i	0.0952312	+	0.0309425i
$638$	6.37517	+	19.6208i	0.252395	+	0.776793i
$639$	12.1160	−	16.6763i	0.479302	−	0.659703i
$640$	−8.49973	+	26.1595i	−0.335981	+	1.03404i
$641$	18.1334	+	24.9585i	0.716225	+	0.985800i	0.999641	+	0.0268025i	$0.00853251\pi$
$641$	18.1334	+	24.9585i	0.716225	+	0.985800i	−0.283415	+	0.958997i	$0.591467\pi$
$642$			31.2734i			1.23426i
$643$	−38.8357	+	12.6185i	−1.53153	+	0.497625i	−0.949025	−	0.315201i	$-0.897928\pi$
$643$	−38.8357	+	12.6185i	−1.53153	+	0.497625i	−0.582507	+	0.812826i	$0.697928\pi$
$644$	−0.145732	−	0.200583i	−0.00574266	−	0.00790410i
$645$	−9.89568	+	13.6202i	−0.389642	+	0.536296i
$646$	−36.0047	−	26.1590i	−1.41659	−	1.02921i
$647$	23.6363			0.929239			0.464620	−	0.885510i	$-0.346191\pi$
$647$	23.6363			0.929239			0.464620	+	0.885510i	$0.346191\pi$
$648$	−1.20047	−	0.872191i	−0.0471588	−	0.0342629i
$649$	53.4095	+	17.3538i	2.09651	+	0.681197i
$650$	3.60842	−	1.17245i	0.141534	−	0.0459871i
$651$	3.73526	−	2.71383i	0.146396	−	0.106363i
$652$	−3.24313	+	2.35627i	−0.127011	+	0.0922788i
$653$			2.46763i			0.0965659i	0.998834	+	0.0482829i	$0.0153749\pi$
$653$			2.46763i			0.0965659i	−0.998834	+	0.0482829i	$0.984625\pi$
$654$	−9.34318	−	28.7553i	−0.365347	−	1.12442i
$655$	40.1927			1.57046
$656$	−30.6103	−	1.58845i	−1.19513	−	0.0620184i
$657$	10.6430			0.415225
$658$	3.00229	+	9.24009i	0.117041	+	0.360216i
$659$		−	27.8694i		−	1.08564i	−0.839849	−	0.542820i	$-0.817357\pi$
$659$		−	27.8694i		−	1.08564i	0.839849	−	0.542820i	$-0.182643\pi$
$660$	4.64022	−	3.37132i	0.180620	−	0.131228i
$661$	16.4030	−	11.9175i	0.638004	−	0.463537i	−0.221160	−	0.975238i	$-0.570984\pi$
$661$	16.4030	−	11.9175i	0.638004	−	0.463537i	0.859164	+	0.511700i	$0.170984\pi$
$662$	−49.1736	+	15.9775i	−1.91119	+	0.620982i
$663$	11.0111	+	3.57774i	0.427637	+	0.138948i
$664$	1.50845	+	1.09596i	0.0585394	+	0.0425313i
$665$	−12.5988			−0.488560
$666$	15.2049	+	11.0470i	0.589177	+	0.428062i
$667$	0.679821	−	0.935693i	0.0263228	−	0.0362302i
$668$	−6.44186	−	8.86646i	−0.249243	−	0.343054i
$669$	6.97790	−	2.26726i	0.269781	−	0.0876572i
$670$			6.48914i			0.250697i
$671$	−2.91796	−	4.01623i	−0.112647	−	0.155045i
$672$	−0.941281	+	2.89696i	−0.0363107	+	0.111753i
$673$	−22.0564	+	30.3581i	−0.850213	+	1.17022i	0.133603	+	0.991035i	$0.457345\pi$
$673$	−22.0564	+	30.3581i	−0.850213	+	1.17022i	−0.983816	+	0.179183i	$0.942655\pi$
$674$	−12.4567	−	38.3378i	−0.479814	−	1.47672i
$675$	−4.54836	−	1.47785i	−0.175066	−	0.0568825i
$676$	1.10032	−	3.38645i	0.0423202	−	0.130248i
$677$	8.26479	−	25.4364i	0.317642	−	0.977601i	−0.657012	−	0.753880i	$-0.728180\pi$
$677$	8.26479	−	25.4364i	0.317642	−	0.977601i	0.974653	−	0.223720i	$-0.0718202\pi$
$678$	−11.4098	−	3.70728i	−0.438193	−	0.142377i
$679$	1.11199	+	3.42236i	0.0426743	+	0.131338i
$680$	12.3138	−	16.9485i	0.472213	−	0.649946i
$681$	−0.0145728	+	0.0448505i	−0.000558431	+	0.00171868i
$682$	21.7306	+	29.9096i	0.832108	+	1.14530i
$683$			18.4629i			0.706465i	0.935536	+	0.353233i	$0.114918\pi$
$683$			18.4629i			0.706465i	−0.935536	+	0.353233i	$0.885082\pi$
$684$	−6.23827	+	2.02694i	−0.238526	+	0.0775019i
$685$	−2.02455	−	2.78656i	−0.0773542	−	0.106469i
$686$	0.936486	−	1.28896i	0.0357552	−	0.0492128i
$687$	−1.57121	−	1.14155i	−0.0599455	−	0.0435529i
$688$	39.0026			1.48696
$689$	−20.5653	−	14.9416i	−0.783475	−	0.569228i
$690$	−1.44175	−	0.468453i	−0.0548865	−	0.0178337i
$691$	12.7434	−	4.14059i	0.484782	−	0.157515i	−0.0564210	−	0.998407i	$-0.517969\pi$
$691$	12.7434	−	4.14059i	0.484782	−	0.157515i	0.541203	+	0.840892i	$0.317969\pi$
$692$	8.53884	−	6.20383i	0.324598	−	0.235834i
$693$	8.12378	−	5.90227i	0.308597	−	0.224209i
$694$			35.0174i			1.32924i
$695$	−4.89940	−	15.0788i	−0.185845	−	0.571972i
$696$	−5.99959			−0.227414
$697$	26.7030	+	10.2346i	1.01145	+	0.387663i
$698$	12.9769			0.491182
$699$	−0.741667	−	2.28262i	−0.0280524	−	0.0863364i
$700$		−	0.507358i		−	0.0191763i
$701$	−19.3975	+	14.0931i	−0.732635	+	0.532290i	−0.890396	−	0.455187i	$-0.849572\pi$
$701$	−19.3975	+	14.0931i	−0.732635	+	0.532290i	0.157761	+	0.987477i	$0.449572\pi$
$702$	16.5328	−	12.0118i	0.623990	−	0.453355i
$703$	−36.0244	+	11.7050i	−1.35869	+	0.441464i
$704$	23.7442	+	7.71497i	0.894894	+	0.290769i
$705$	10.1938	+	7.40625i	0.383922	+	0.278936i
$706$	−11.6453			−0.438277
$707$	−0.391434	−	0.284394i	−0.0147214	−	0.0106957i
$708$	3.53633	−	4.86734i	0.132903	−	0.182926i
$709$	−4.23608	−	5.83046i	−0.159089	−	0.218968i	0.722030	−	0.691862i	$-0.243209\pi$
$709$	−4.23608	−	5.83046i	−0.159089	−	0.218968i	−0.881119	+	0.472894i	$0.843209\pi$
$710$	32.3020	−	10.4956i	1.21227	−	0.393891i
$711$			23.9528i			0.898299i
$712$	8.83664	+	12.1626i	0.331167	+	0.455812i
$713$	0.640475	−	1.97118i	0.0239860	−	0.0738213i
$714$	4.29027	−	5.90505i	0.160559	−	0.220991i
$715$	8.11008	+	24.9603i	0.303300	+	0.933460i
$716$	−11.4077	−	3.70657i	−0.426324	−	0.138521i
$717$	−7.00376	+	21.5553i	−0.261560	+	0.804999i
$718$	9.83454	−	30.2676i	0.367022	−	1.12958i
$719$	−5.77877	−	1.87764i	−0.215512	−	0.0700240i	0.199271	−	0.979944i	$-0.436143\pi$
$719$	−5.77877	−	1.87764i	−0.215512	−	0.0700240i	−0.414783	+	0.909920i	$0.636143\pi$
$720$	−5.80394	−	17.8627i	−0.216300	−	0.665703i
$721$	−4.88448	+	6.72291i	−0.181907	+	0.250374i
$722$	9.90489	−	30.4841i	0.368622	−	1.13450i
$723$	2.29130	+	3.15370i	0.0852142	+	0.117287i
$724$		−	11.5698i		−	0.429990i
$725$	2.25091	−	0.731366i	0.0835969	−	0.0271623i
$726$	−14.9644	−	20.5967i	−0.555382	−	0.764417i
$727$	12.8621	−	17.7032i	0.477030	−	0.656575i	−0.500901	−	0.865505i	$-0.666998\pi$
$727$	12.8621	−	17.7032i	0.477030	−	0.656575i	0.977931	+	0.208930i	$0.0669979\pi$
$728$	−4.76105	−	3.45910i	−0.176456	−	0.128203i
$729$	−14.3772			−0.532490
$730$	14.1875	+	10.3078i	0.525102	+	0.381509i
$731$	−34.6076	−	11.2447i	−1.28001	−	0.415900i
$732$	−0.505811	+	0.164348i	−0.0186953	+	0.00607448i
$733$	20.1739	−	14.6572i	0.745138	−	0.541375i	−0.149178	−	0.988810i	$-0.547663\pi$
$733$	20.1739	−	14.6572i	0.745138	−	0.541375i	0.894316	+	0.447436i	$0.147663\pi$
$734$	−14.6586	+	10.6501i	−0.541059	+	0.393103i
$735$		−	2.06630i		−	0.0762165i
$736$	0.422548	+	1.30047i	0.0155753	+	0.0479359i
$737$	10.4237			0.383964
$738$	16.6595	−	10.8310i	0.613245	−	0.398694i
$739$	3.77897			0.139012			0.0695059	−	0.997582i	$-0.477858\pi$
$739$	3.77897			0.139012			0.0695059	+	0.997582i	$0.477858\pi$
$740$	2.02980	+	6.24708i	0.0746169	+	0.229647i
$741$			16.2137i			0.595627i
$742$	−12.9651	+	9.41967i	−0.475962	+	0.345807i
$743$	3.09619	−	2.24951i	0.113588	−	0.0825267i	−0.529541	−	0.848284i	$-0.677636\pi$
$743$	3.09619	−	2.24951i	0.113588	−	0.0825267i	0.643129	+	0.765758i	$0.277636\pi$
$744$	−10.2252	+	3.32237i	−0.374874	+	0.121804i
$745$	19.5221	+	6.34310i	0.715233	+	0.232393i
$746$	−7.17667	−	5.21415i	−0.262756	−	0.190904i
$747$	−1.55960			−0.0570628
$748$	10.0294	+	7.28682i	0.366713	+	0.266433i
$749$	−11.2476	+	15.4810i	−0.410978	+	0.565662i
$750$	−11.4987	−	15.8266i	−0.419872	−	0.577905i
$751$	6.16994	−	2.00474i	0.225144	−	0.0731538i	−0.194272	−	0.980948i	$-0.562235\pi$
$751$	6.16994	−	2.00474i	0.225144	−	0.0731538i	0.419417	+	0.907794i	$0.362235\pi$
$752$		−	29.1908i		−	1.06448i
$753$	−0.0912132	−	0.125544i	−0.00332399	−	0.00457508i
$754$	−3.12518	+	9.61831i	−0.113812	+	0.350278i
$755$	−20.1650	+	27.7548i	−0.733880	+	1.01010i
$756$	−0.844450	−	2.59895i	−0.0307124	−	0.0945229i
$757$	24.7785	+	8.05103i	0.900590	+	0.292620i	0.722481	−	0.691391i	$-0.243002\pi$
$757$	24.7785	+	8.05103i	0.900590	+	0.292620i	0.178110	+	0.984011i	$0.443002\pi$
$758$	−6.61432	+	20.3568i	−0.240243	+	0.739392i
$759$	−0.752494	+	2.31594i	−0.0273138	+	0.0840632i
$760$	27.9021	+	9.06595i	1.01212	+	0.328857i
$761$	6.01209	+	18.5033i	0.217938	+	0.670745i	0.998932	+	0.0462059i	$0.0147130\pi$
$761$	6.01209	+	18.5033i	0.217938	+	0.670745i	−0.780994	+	0.624539i	$0.785287\pi$
$762$	−0.969440	+	1.33432i	−0.0351191	+	0.0483373i
$763$	5.71689	−	17.5948i	0.206965	−	0.636974i
$764$	−4.95234	−	6.81631i	−0.179169	−	0.246605i
$765$			17.5232i			0.633551i
$766$	36.5133	−	11.8639i	1.31928	−	0.428660i
$767$	16.1813	+	22.2717i	0.584274	+	0.804184i
$768$	7.27730	−	10.0164i	0.262597	−	0.361434i
$769$	−16.8950	−	12.2749i	−0.609248	−	0.442644i	0.239902	−	0.970797i	$-0.422885\pi$
$769$	−16.8950	−	12.2749i	−0.609248	−	0.442644i	−0.849149	+	0.528153i	$0.822885\pi$
$770$	16.5456			0.596262
$771$	−6.62210	−	4.81123i	−0.238489	−	0.173272i
$772$	−2.91730	−	0.947887i	−0.104996	−	0.0341152i
$773$	−7.34002	+	2.38492i	−0.264002	+	0.0857795i	−0.438027	−	0.898962i	$-0.644323\pi$
$773$	−7.34002	+	2.38492i	−0.264002	+	0.0857795i	0.174025	+	0.984741i	$0.444323\pi$
$774$	−20.4558	+	14.8620i	−0.735267	+	0.534203i
$775$	3.43127	−	2.49296i	0.123255	−	0.0895498i
$776$		−	8.37957i		−	0.300809i
$777$	−1.91971	−	5.90827i	−0.0688693	−	0.211958i
$778$	−57.5227			−2.06229
$779$	−2.07540	+	39.9941i	−0.0743590	+	1.43294i
$780$	2.81167			0.100674
$781$	−16.8594	−	51.8879i	−0.603277	−	1.85669i
$782$		−	3.27659i		−	0.117171i
$783$	10.3131	−	7.49288i	0.368559	−	0.267774i
$784$	−3.87273	+	2.81370i	−0.138312	+	0.100489i
$785$	39.8702	−	12.9546i	1.42303	−	0.462370i
$786$	−31.0133	−	10.0768i	−1.10621	−	0.359428i
$787$	15.7650	+	11.4540i	0.561963	+	0.408290i	0.832177	−	0.554510i	$-0.187094\pi$
$787$	15.7650	+	11.4540i	0.561963	+	0.408290i	−0.270214	+	0.962800i	$0.587094\pi$
$788$	−5.42692			−0.193326
$789$	−10.4998	−	7.62854i	−0.373802	−	0.271583i
$790$	−23.1983	+	31.9297i	−0.825359	+	1.13601i
$791$	−4.31477	−	5.93877i	−0.153415	−	0.211158i
$792$	−22.2387	+	7.22579i	−0.790218	+	0.256757i
$793$		−	2.43357i		−	0.0864186i
$794$	−9.50875	−	13.0877i	−0.337453	−	0.464464i
$795$	−6.42258	+	19.7667i	−0.227785	+	0.701051i
$796$	−5.90908	+	8.13315i	−0.209442	+	0.288272i
$797$	−9.33690	−	28.7360i	−0.330730	−	1.01788i	−0.968787	−	0.247894i	$-0.920262\pi$
$797$	−9.33690	−	28.7360i	−0.330730	−	1.01788i	0.638057	−	0.769989i	$-0.279738\pi$
$798$	9.72141	+	3.15868i	0.344134	+	0.111816i
$799$	−8.41590	+	25.9015i	−0.297733	+	0.916328i
$800$	−0.864674	+	2.66119i	−0.0305708	+	0.0940874i
$801$	−11.9595	−	3.88588i	−0.422569	−	0.137301i
$802$	−13.3399	−	41.0560i	−0.471048	−	1.44974i
$803$	16.5578	−	22.7899i	0.584313	−	0.804237i
$804$	0.345086	−	1.06207i	0.0121703	−	0.0374562i
$805$	−0.545215	−	0.750424i	−0.0192163	−	0.0264490i
$806$			18.1233i			0.638365i
$807$	−5.53539	+	1.79856i	−0.194855	+	0.0633122i
$808$	0.662250	+	0.911510i	0.0232979	+	0.0320668i
$809$	−5.69174	+	7.83401i	−0.200111	+	0.275429i	−0.897265	−	0.441492i	$-0.854449\pi$
$809$	−5.69174	+	7.83401i	−0.200111	+	0.275429i	0.697154	+	0.716921i	$0.254449\pi$
$810$	1.65452	+	1.20208i	0.0581338	+	0.0422366i
$811$	−43.0796			−1.51273			−0.756365	−	0.654150i	$-0.773027\pi$
$811$	−43.0796			−1.51273			−0.756365	+	0.654150i	$0.773027\pi$
$812$	1.09409	+	0.794904i	0.0383951	+	0.0278957i
$813$	11.5756	+	3.76114i	0.405974	+	0.131909i
$814$	47.3097	−	15.3719i	1.65820	−	0.538783i
$815$	−12.1332	+	8.81530i	−0.425008	+	0.308787i
$816$	−17.7419	+	12.8902i	−0.621091	+	0.451249i
$817$		−	50.9592i		−	1.78284i
$818$	9.40802	+	28.9549i	0.328944	+	1.01238i
$819$	4.92248			0.172005
$820$	6.93549	+	0.359901i	0.242198	+	0.0125683i
$821$	−18.1353			−0.632926			−0.316463	−	0.948605i	$-0.602495\pi$
$821$	−18.1353			−0.632926			−0.316463	+	0.948605i	$0.602495\pi$
$822$	0.863550	+	2.65773i	0.0301197	+	0.0926991i
$823$		−	13.3814i		−	0.466447i	−0.972423	−	0.233224i	$-0.925073\pi$
$823$		−	13.3814i		−	0.466447i	0.972423	−	0.233224i	$-0.0749274\pi$
$824$	15.6552	−	11.3742i	0.545376	−	0.396239i
$825$	−4.03139	+	2.92898i	−0.140355	+	0.101974i
$826$	16.5060	−	5.36312i	0.574317	−	0.186607i
$827$	38.4120	+	12.4808i	1.33571	+	0.434000i	0.887863	−	0.460108i	$-0.152189\pi$
$827$	38.4120	+	12.4808i	1.33571	+	0.434000i	0.447851	+	0.894108i	$0.352189\pi$
$828$	−0.390693	−	0.283855i	−0.0135775	−	0.00986466i
$829$	8.06141			0.279984			0.139992	−	0.990153i	$-0.455292\pi$
$829$	8.06141			0.279984			0.139992	+	0.990153i	$0.455292\pi$
$830$	−2.07899	−	1.51048i	−0.0721628	−	0.0524294i
$831$	14.2640	−	19.6327i	0.494813	−	0.681051i
$832$	7.19372	+	9.90131i	0.249397	+	0.343266i
$833$	4.24754	−	1.38011i	0.147169	−	0.0478179i
$834$			12.8634i			0.445423i
$835$	−24.1003	−	33.1713i	−0.834027	−	1.14794i
$836$	−5.36487	+	16.5114i	−0.185548	+	0.571058i
$837$	13.4274	−	18.4813i	0.464120	−	0.638806i
$838$	−1.74296	−	5.36429i	−0.0602096	−	0.185306i
$839$	−44.5130	−	14.4632i	−1.53676	−	0.499323i	−0.586279	−	0.810109i	$-0.699408\pi$
$839$	−44.5130	−	14.4632i	−1.53676	−	0.499323i	−0.950480	+	0.310786i	$0.899408\pi$
$840$	−1.48688	+	4.57616i	−0.0513024	+	0.157893i
$841$	7.01202	−	21.5808i	0.241794	−	0.744165i
$842$	−23.1255	−	7.51392i	−0.796956	−	0.258947i
$843$	−4.38448	−	13.4940i	−0.151010	−	0.464760i
$844$	1.82062	−	2.50587i	0.0626683	−	0.0862555i
$845$	4.11654	−	12.6694i	0.141613	−	0.435841i
$846$	11.1232	+	15.3098i	0.382423	+	0.526360i
$847$		−	15.5778i		−	0.535260i
$848$	45.7931	−	14.8791i	1.57254	−	0.510950i
$849$	−8.53508	−	11.7475i	−0.292923	−	0.403174i
$850$	3.94110	−	5.42446i	0.135179	−	0.186058i
$851$	−2.25615	−	1.63919i	−0.0773399	−	0.0561907i
$852$	−5.84495			−0.200245
$853$	40.9632	+	29.7615i	1.40255	+	1.01901i	0.994353	+	0.106121i	$0.0338429\pi$
$853$	40.9632	+	29.7615i	1.40255	+	1.01901i	0.408199	+	0.912893i	$0.366157\pi$
$854$	−1.45912	−	0.474096i	−0.0499299	−	0.0162232i
$855$	−23.3387	+	7.58319i	−0.798166	+	0.259340i
$856$	36.0496	−	26.1916i	1.23215	−	0.895210i
$857$	38.9376	−	28.2898i	1.33008	−	0.966362i	0.330336	−	0.943863i	$-0.392838\pi$
$857$	38.9376	−	28.2898i	1.33008	−	0.966362i	0.999747	−	0.0224985i	$-0.00716211\pi$
$858$		−	21.2930i		−	0.726931i
$859$	2.18238	+	6.71666i	0.0744617	+	0.229170i	0.981359	−	0.192181i	$-0.0615561\pi$
$859$	2.18238	+	6.71666i	0.0744617	+	0.229170i	−0.906898	+	0.421351i	$0.861556\pi$
$860$	−8.83697			−0.301338
$861$	−6.55934	−	0.340381i	−0.223542	−	0.0116002i
$862$	35.2689			1.20127
$863$	11.2761	+	34.7044i	0.383844	+	1.18135i	0.937315	+	0.348482i	$0.113303\pi$
$863$	11.2761	+	34.7044i	0.383844	+	1.18135i	−0.553471	+	0.832868i	$0.686697\pi$
$864$			15.0712i			0.512732i
$865$	31.9456	−	23.2098i	1.08618	−	0.789157i
$866$	41.9066	−	30.4469i	1.42404	−	1.03463i
$867$	2.87431	−	0.933920i	0.0976167	−	0.0317176i
$868$	2.30487	+	0.748897i	0.0782324	+	0.0254192i
$869$	51.2899	+	37.2643i	1.73989	+	1.26410i
$870$	8.26880			0.280339
$871$	4.13395	+	3.00349i	0.140073	+	0.101769i
$872$	−25.3220	+	34.8528i	−0.857512	+	1.18026i
$873$	4.11983	+	5.67046i	0.139435	+	0.191916i
$874$	4.36401	−	1.41795i	0.147615	−	0.0479630i
$875$		−	11.9700i		−	0.404660i
$876$	−1.77388	−	2.44154i	−0.0599339	−	0.0824919i
$877$	−14.4522	+	44.4794i	−0.488017	+	1.50196i	0.339546	+	0.940590i	$0.389727\pi$
$877$	−14.4522	+	44.4794i	−0.488017	+	1.50196i	−0.827563	+	0.561373i	$0.810273\pi$
$878$	31.3712	−	43.1787i	1.05873	−	1.45721i
$879$	3.26698	+	10.0547i	0.110192	+	0.339137i
$880$	−47.2787	−	15.3618i	−1.59376	−	0.517845i
$881$	17.3301	−	53.3367i	0.583867	−	1.79696i	−0.0199060	−	0.999802i	$-0.506337\pi$
$881$	17.3301	−	53.3367i	0.583867	−	1.79696i	0.603773	−	0.797156i	$-0.293663\pi$
$882$	0.958972	−	2.95141i	0.0322903	−	0.0993792i
$883$	−20.0438	−	6.51263i	−0.674528	−	0.219168i	−0.0483302	−	0.998831i	$-0.515390\pi$
$883$	−20.0438	−	6.51263i	−0.674528	−	0.219168i	−0.626198	+	0.779664i	$0.715390\pi$
$884$	1.87795	+	5.77975i	0.0631624	+	0.194394i
$885$	13.2301	−	18.2097i	0.444726	−	0.612113i
$886$	5.69750	−	17.5351i	0.191411	−	0.589103i
$887$	1.89649	+	2.61029i	0.0636779	+	0.0876451i	0.839668	−	0.543100i	$-0.182749\pi$
$887$	1.89649	+	2.61029i	0.0636779	+	0.0876451i	−0.775990	+	0.630745i	$0.782749\pi$
$888$			14.4663i			0.485456i
$889$	−0.959785	+	0.311853i	−0.0321901	+	0.0104592i
$890$	−12.1789	−	16.7628i	−0.408237	−	0.561891i
$891$	1.93094	−	2.65771i	0.0646889	−	0.0890366i
$892$	3.11568	+	2.26367i	0.104321	+	0.0757934i
$893$	−38.1395			−1.27629
$894$	−13.4732	−	9.78887i	−0.450612	−	0.327389i
$895$	−42.6784	−	13.8670i	−1.42658	−	0.463524i
$896$	12.9864	−	4.21954i	0.433845	−	0.140965i
$897$	−0.965742	+	0.701653i	−0.0322452	+	0.0234275i
$898$	−50.3627	+	36.5907i	−1.68063	+	1.22105i
$899$			11.3052i			0.377050i
$900$	−0.305378	−	0.939856i	−0.0101793	−	0.0313285i
$901$	−44.9227			−1.49659
$902$	2.72556	−	52.5231i	0.0907512	−	1.74883i
$903$	8.35770			0.278127
$904$	5.28230	+	16.2573i	0.175687	+	0.540708i
$905$		−	43.2852i		−	1.43885i
$906$	22.5181	−	16.3604i	0.748114	−	0.543537i
$907$	33.2156	−	24.1326i	1.10291	−	0.801309i	0.121375	−	0.992607i	$-0.461270\pi$
$907$	33.2156	−	24.1326i	1.10291	−	0.801309i	0.981532	+	0.191298i	$0.0612697\pi$
$908$	−0.0235420	+	0.00764927i	−0.000781270	+	0.000253850i
$909$	−0.896290	−	0.291222i	−0.0297281	−	0.00965923i
$910$	6.56180	+	4.76743i	0.217522	+	0.158039i
$911$	−14.0424			−0.465245			−0.232623	−	0.972567i	$-0.574731\pi$
$911$	−14.0424			−0.465245			−0.232623	+	0.972567i	$0.574731\pi$
$912$	−24.8461	−	18.0517i	−0.822735	−	0.597752i
$913$	−2.42633	+	3.33956i	−0.0802999	+	0.110523i
$914$	−25.6163	−	35.2578i	−0.847311	−	1.16622i
$915$	−1.89234	+	0.614860i	−0.0625589	+	0.0203266i
$916$		−	1.01942i		−	0.0336826i
$917$	−11.7280	−	16.1423i	−0.387294	−	0.533064i
$918$	11.1599	−	34.3465i	0.368330	−	1.13360i
$919$	15.4860	−	21.3146i	0.510836	−	0.703105i	−0.473224	−	0.880942i	$-0.656910\pi$
$919$	15.4860	−	21.3146i	0.510836	−	0.703105i	0.984060	+	0.177837i	$0.0569100\pi$
$920$	0.667473	+	2.05427i	0.0220059	+	0.0677273i
$921$	21.8465	+	7.09836i	0.719866	+	0.233899i
$922$	5.73645	−	17.6550i	0.188920	−	0.581436i
$923$	8.26466	−	25.4360i	0.272035	−	0.837237i
$924$	−2.70799	−	0.879879i	−0.0890863	−	0.0289459i
$925$	−1.76348	−	5.42742i	−0.0579827	−	0.178453i
$926$	−22.1023	+	30.4212i	−0.726327	+	0.999703i
$927$	−5.00176	+	15.3938i	−0.164279	+	0.505600i
$928$	−4.38400	−	6.03406i	−0.143912	−	0.198078i
$929$			6.55453i			0.215047i	0.994203	+	0.107524i	$0.0342921\pi$
$929$			6.55453i			0.215047i	−0.994203	+	0.107524i	$0.965708\pi$
$930$	14.0927	−	4.57898i	0.462116	−	0.150151i
$931$	3.67627	+	5.05995i	0.120485	+	0.165833i
$932$	0.740494	−	1.01920i	0.0242557	−	0.0333851i
$933$	−6.98534	−	5.07514i	−0.228690	−	0.166153i
$934$	−37.1834			−1.21668
$935$	37.5222	+	27.2615i	1.22711	+	0.891546i
$936$	−10.9017	−	3.54216i	−0.356332	−	0.115779i
$937$	−17.2838	+	5.61585i	−0.564638	+	0.183462i	−0.577407	−	0.816457i	$-0.695935\pi$
$937$	−17.2838	+	5.61585i	−0.564638	+	0.183462i	0.0127692	+	0.999918i	$0.495935\pi$
$938$	2.60618	−	1.89350i	0.0850948	−	0.0618250i
$939$	17.4917	−	12.7085i	0.570820	−	0.414725i
$940$			6.61388i			0.215721i
$941$	15.4455	+	47.5363i	0.503509	+	1.54964i	0.803263	+	0.595624i	$0.203095\pi$
$941$	15.4455	+	47.5363i	0.503509	+	1.54964i	−0.299755	+	0.954016i	$0.596905\pi$
$942$	−34.0123			−1.10818
$943$	−2.47199	+	1.60714i	−0.0804991	+	0.0523356i
$944$	−52.1449			−1.69717
$945$	−3.15926	−	9.72321i	−0.102771	−	0.316296i
$946$			66.9231i			2.17586i
$947$	0.906696	−	0.658753i	0.0294637	−	0.0214066i	−0.572956	−	0.819586i	$-0.694203\pi$
$947$	0.906696	−	0.658753i	0.0294637	−	0.0214066i	0.602420	+	0.798180i	$0.294203\pi$
$948$	5.49482	−	3.99222i	0.178463	−	0.129661i
$949$	13.1333	−	4.26727i	0.426325	−	0.138521i
$950$	8.93023	+	2.90161i	0.289735	+	0.0941406i
$951$	−1.53239	−	1.11335i	−0.0496913	−	0.0361028i
$952$	−10.4000			−0.337066
$953$	21.0699	+	15.3082i	0.682522	+	0.495881i	0.874194	−	0.485578i	$-0.161391\pi$
$953$	21.0699	+	15.3082i	0.682522	+	0.495881i	−0.191671	+	0.981459i	$0.561391\pi$
$954$	−18.3475	+	25.2532i	−0.594022	+	0.817601i
$955$	−18.5277	−	25.5012i	−0.599543	−	0.825200i
$956$	−11.3144	+	3.67627i	−0.365934	+	0.118899i
$957$		−	13.2825i		−	0.429361i
$958$	8.50707	+	11.7090i	0.274851	+	0.378300i
$959$	−0.528387	+	1.62621i	−0.0170625	+	0.0525130i
$960$	5.88171	−	8.09548i	0.189831	−	0.261280i
$961$	−3.31909	−	10.2151i	−0.107067	−	0.329519i
$962$	23.1917	+	7.53545i	0.747732	+	0.242953i
$963$	−11.5177	+	35.4477i	−0.371151	+	1.14229i
$964$	−0.632297	+	1.94601i	−0.0203649	+	0.0626768i
$965$	−10.9142	−	3.54624i	−0.351341	−	0.114158i
$966$	0.232555	+	0.715731i	0.00748234	+	0.0230283i
$967$	−0.517302	+	0.712006i	−0.0166353	+	0.0228966i	−0.817254	−	0.576278i	$-0.804505\pi$
$967$	−0.517302	+	0.712006i	−0.0166353	+	0.0228966i	0.800618	+	0.599175i	$0.204505\pi$
$968$	−11.2096	+	34.4997i	−0.360291	+	1.10886i
$969$	16.8419	+	23.1808i	0.541039	+	0.744676i
$970$			11.5489i			0.370814i
$971$	−53.1437	+	17.2674i	−1.70546	+	0.554138i	−0.989568	−	0.144069i	$-0.953981\pi$
$971$	−53.1437	+	17.2674i	−1.70546	+	0.554138i	−0.715895	+	0.698208i	$0.753981\pi$
$972$	−5.02559	−	6.91713i	−0.161196	−	0.221867i
$973$	−4.62636	+	6.36764i	−0.148314	+	0.204137i
$974$	15.1979	+	11.0419i	0.486972	+	0.353806i
$975$	−2.44276			−0.0782308
$976$	3.72922	+	2.70944i	0.119369	+	0.0867269i
$977$	−1.42591	−	0.463307i	−0.0456190	−	0.0148225i	0.286119	−	0.958194i	$-0.407635\pi$
$977$	−1.42591	−	0.463307i	−0.0456190	−	0.0148225i	−0.331738	+	0.943372i	$0.607635\pi$
$978$	11.5723	−	3.76006i	0.370041	−	0.120234i
$979$	−26.9267	+	19.5634i	−0.860582	+	0.625249i
$980$	0.877459	−	0.637511i	0.0280294	−	0.0203645i
$981$		−	36.0345i		−	1.15049i
$982$	5.53433	+	17.0329i	0.176607	+	0.543542i
$983$	41.4301			1.32142			0.660708	−	0.750643i	$-0.270256\pi$
$983$	41.4301			1.32142			0.660708	+	0.750643i	$0.270256\pi$
$984$	14.2818	+	5.47386i	0.455288	+	0.174500i
$985$	−20.3032			−0.646914
$986$	5.52285	+	16.9976i	0.175883	+	0.541313i
$987$		−	6.25517i		−	0.199104i
$988$	−6.88521	+	5.00240i	−0.219048	+	0.159148i
$989$	3.03529	−	2.20527i	0.0965167	−	0.0701235i
$990$	30.6500	−	9.95877i	0.974120	−	0.316511i
$991$	−39.9033	−	12.9654i	−1.26757	−	0.411859i	−0.403385	−	0.915030i	$-0.632166\pi$
$991$	−39.9033	−	12.9654i	−1.26757	−	0.411859i	−0.864187	+	0.503171i	$0.832166\pi$
$992$	−10.8132	−	7.85623i	−0.343319	−	0.249436i
$993$	33.2886			1.05638
$994$	−13.6408	−	9.91063i	−0.432660	−	0.314346i
$995$	−22.1071	+	30.4278i	−0.700842	+	0.964626i
$996$	0.259939	+	0.357776i	0.00823649	+	0.0113366i
$997$	−26.1631	+	8.50090i	−0.828593	+	0.269226i	−0.692453	−	0.721463i	$-0.743470\pi$
$997$	−26.1631	+	8.50090i	−0.828593	+	0.269226i	−0.136140	+	0.990690i	$0.543470\pi$
$998$		−	35.2812i		−	1.11681i
$999$	−18.0669	−	24.8669i	−0.571611	−	0.786755i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.5	✓	88
41.25	even	10	inner	287.2.n.a.148.5	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.5	✓	88	1.1	even	1	trivial
287.2.n.a.148.5	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)

\(f(q)\)	\(=\)	\(q+(-0.492340 - 1.51527i) q^{2} +1.02578i q^{3} +(-0.435599 + 0.316481i) q^{4} +(-1.62966 + 1.18402i) q^{5} +(1.55432 - 0.505030i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-1.88391 - 1.36874i) q^{8} +1.94778 q^{9} +O(q^{10})\)	\(q+(-0.492340 - 1.51527i) q^{2} +1.02578i q^{3} +(-0.435599 + 0.316481i) q^{4} +(-1.62966 + 1.18402i) q^{5} +(1.55432 - 0.505030i) q^{6} +(0.951057 + 0.309017i) q^{7} +(-1.88391 - 1.36874i) q^{8} +1.94778 q^{9} +(2.59645 + 1.88643i) q^{10} +(3.03025 - 4.17078i) q^{11} +(-0.324638 - 0.446826i) q^{12} +(2.40353 - 0.780953i) q^{13} -1.59324i q^{14} +(-1.21454 - 1.67167i) q^{15} +(-1.47925 + 4.55266i) q^{16} +(2.62512 - 3.61317i) q^{17} +(-0.958972 - 2.95141i) q^{18} +(5.94832 + 1.93273i) q^{19} +(0.335159 - 1.03151i) q^{20} +(-0.316982 + 0.975570i) q^{21} +(-7.81175 - 2.53819i) q^{22} +(0.142295 + 0.437940i) q^{23} +(1.40402 - 1.93247i) q^{24} +(-0.291184 + 0.896173i) q^{25} +(-2.36670 - 3.25749i) q^{26} +5.07532i q^{27} +(-0.512077 + 0.166384i) q^{28} +(-1.47634 - 2.03201i) q^{29} +(-1.93506 + 2.66338i) q^{30} +(-3.64140 - 2.64563i) q^{31} +2.96951 q^{32} +(4.27828 + 3.10835i) q^{33} +(-6.76737 - 2.19885i) q^{34} +(-1.91578 + 0.622476i) q^{35} +(-0.848452 + 0.616437i) q^{36} +(-4.89959 + 3.55976i) q^{37} -9.96485i q^{38} +(0.801083 + 2.46548i) q^{39} +4.69075 q^{40} +(1.66043 + 6.18409i) q^{41} +1.63431 q^{42} +(-2.51777 - 7.74891i) q^{43} +2.77580i q^{44} +(-3.17423 + 2.30622i) q^{45} +(0.593539 - 0.431231i) q^{46} +(-5.79954 + 1.88438i) q^{47} +(-4.67001 - 1.51738i) q^{48} +(0.809017 + 0.587785i) q^{49} +1.50130 q^{50} +(3.70630 + 2.69279i) q^{51} +(-0.799816 + 1.10085i) q^{52} +(-5.91226 - 8.13752i) q^{53} +(7.69045 - 2.49878i) q^{54} +10.3848i q^{55} +(-1.36874 - 1.88391i) q^{56} +(-1.98254 + 6.10164i) q^{57} +(-2.35217 + 3.23748i) q^{58} +(3.36616 + 10.3600i) q^{59} +(1.05810 + 0.343798i) q^{60} +(0.297566 - 0.915814i) q^{61} +(-2.21603 + 6.82025i) q^{62} +(1.85245 + 0.601899i) q^{63} +(1.49649 + 4.60573i) q^{64} +(-2.99228 + 4.11852i) q^{65} +(2.60361 - 8.01310i) q^{66} +(1.18846 + 1.63577i) q^{67} +2.40469i q^{68} +(-0.449228 + 0.145963i) q^{69} +(1.88643 + 2.59645i) q^{70} +(6.22041 - 8.56166i) q^{71} +(-3.66945 - 2.66601i) q^{72} +5.46418 q^{73} +(7.80624 + 5.67157i) q^{74} +(-0.919272 - 0.298690i) q^{75} +(-3.20275 + 1.04064i) q^{76} +(4.17078 - 3.03025i) q^{77} +(3.34145 - 2.42771i) q^{78} +12.2974i q^{79} +(-2.97976 - 9.17077i) q^{80} +0.637221 q^{81} +(8.55305 - 5.56066i) q^{82} -0.800704 q^{83} +(-0.170672 - 0.525276i) q^{84} +8.99646i q^{85} +(-10.5021 + 7.63019i) q^{86} +(2.08438 - 1.51439i) q^{87} +(-11.4174 + 3.70975i) q^{88} +(-6.14006 - 1.99503i) q^{89} +(5.05733 + 3.67437i) q^{90} +2.52722 q^{91} +(-0.200583 - 0.145732i) q^{92} +(2.71383 - 3.73526i) q^{93} +(5.71069 + 7.86009i) q^{94} +(-11.9822 + 3.89324i) q^{95} +3.04605i q^{96} +(2.11513 + 2.91123i) q^{97} +(0.492340 - 1.51527i) q^{98} +(5.90227 - 8.12378i) 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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