LMFDB - Embedded newform 490.2.p.a.239.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [490,2,Mod(29,490)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(490, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 6]))

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

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

chi := DirichletCharacter("490.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.p (of order $14$, degree $6$, 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:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			239.18
Character	$\chi$	$=$	490.239
Dual form			490.2.p.a.449.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.781831 + 0.623490i) q^{2} +(-0.715089 + 1.48490i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.60019 + 1.56185i) q^{5} +(-1.48490 + 0.715089i) q^{6} +(0.956314 + 2.46687i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.176903 + 0.221829i) q^{9} +O(q^{10})$	\(q+(0.781831 + 0.623490i) q^{2} +(-0.715089 + 1.48490i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.60019 + 1.56185i) q^{5} +(-1.48490 + 0.715089i) q^{6} +(0.956314 + 2.46687i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.176903 + 0.221829i) q^{9} +(-2.22488 + 0.223403i) q^{10} +(2.09193 - 2.62319i) q^{11} +(-1.60679 - 0.366739i) q^{12} +(-1.42454 - 1.13604i) q^{13} +(-0.790394 + 2.52493i) q^{14} +(-1.17491 - 3.49298i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.0816197 + 0.0186292i) q^{17} +0.283730i q^{18} -5.48324 q^{19} +(-1.87877 - 1.21253i) q^{20} +(-4.34690 - 0.344005i) q^{21} +(3.27107 - 0.746600i) q^{22} +(-0.368805 + 0.0841772i) q^{23} +(-1.02758 - 1.28855i) q^{24} +(0.121225 - 4.99853i) q^{25} +(-0.405447 - 1.77638i) q^{26} +(-5.27626 + 1.20427i) q^{27} +(-2.19222 + 1.48127i) q^{28} +(-0.918199 + 4.02289i) q^{29} +(1.25926 - 3.46347i) q^{30} +2.65589 q^{31} +(-0.974928 - 0.222521i) q^{32} +(2.39926 + 4.98211i) q^{33} +(0.0521977 + 0.0654539i) q^{34} +(-5.38318 - 2.45385i) q^{35} +(-0.176903 + 0.221829i) q^{36} +(2.45596 + 0.560557i) q^{37} +(-4.28697 - 3.41874i) q^{38} +(2.70557 - 1.30293i) q^{39} +(-0.712885 - 2.11939i) q^{40} +(8.04907 + 3.87623i) q^{41} +(-3.18406 - 2.97920i) q^{42} +(2.32578 + 4.82952i) q^{43} +(3.02292 + 1.45576i) q^{44} +(-0.629543 - 0.0786728i) q^{45} +(-0.340827 - 0.164133i) q^{46} +(5.29473 + 4.22241i) q^{47} -1.64811i q^{48} +(-5.17093 + 4.71821i) q^{49} +(3.21131 - 3.83243i) q^{50} +(-0.0860277 + 0.107875i) q^{51} +(0.790562 - 1.64162i) q^{52} +(6.46819 - 1.47632i) q^{53} +(-4.87600 - 2.34816i) q^{54} +(0.749561 + 7.46490i) q^{55} +(-2.63751 - 0.208727i) q^{56} +(3.92100 - 8.14204i) q^{57} +(-3.22611 + 2.57274i) q^{58} +(0.961100 - 0.462842i) q^{59} +(3.14396 - 1.92272i) q^{60} +(2.97916 - 13.0525i) q^{61} +(2.07646 + 1.65592i) q^{62} +(-0.378050 + 0.648536i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(4.05387 - 0.407055i) q^{65} +(-1.23048 + 5.39109i) q^{66} -10.5887i q^{67} +0.0837187i q^{68} +(0.138733 - 0.607831i) q^{69} +(-2.67879 - 5.27485i) q^{70} +(2.99691 + 13.1303i) q^{71} +(-0.276617 + 0.0631359i) q^{72} +(-2.86087 + 2.28147i) q^{73} +(1.57065 + 1.96953i) q^{74} +(7.33561 + 3.75440i) q^{75} +(-1.22014 - 5.34576i) q^{76} +(8.47163 + 2.65192i) q^{77} +(2.92767 + 0.668221i) q^{78} +0.769057 q^{79} +(0.764060 - 2.10148i) q^{80} +(1.79537 - 7.86602i) q^{81} +(3.87623 + 8.04907i) q^{82} +(-11.9476 + 9.52790i) q^{83} +(-0.631896 - 4.31446i) q^{84} +(-0.159703 + 0.0976678i) q^{85} +(-1.19279 + 5.22597i) q^{86} +(-5.31699 - 4.24016i) q^{87} +(1.45576 + 3.02292i) q^{88} +(5.32715 + 6.68004i) q^{89} +(-0.443145 - 0.454023i) q^{90} +(1.44015 - 4.60058i) q^{91} +(-0.164133 - 0.340827i) q^{92} +(-1.89920 + 3.94372i) q^{93} +(1.50696 + 6.60242i) q^{94} +(8.77423 - 8.56401i) q^{95} +(1.02758 - 1.28855i) q^{96} -10.2256i q^{97} +(-6.98455 + 0.464827i) q^{98} +0.951969 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) $ 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9	$ 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) $ 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9 - 4 * q^10 - 24 * q^11 + 4 * q^14 - 2 * q^15 - 28 * q^16 + 44 * q^19 - 10 * q^20 + 22 * q^26 - 2 * q^29 - 12 * q^30 - 16 * q^31 - 8 * q^34 - 4 * q^35 - 18 * q^36 - 80 * q^39 - 10 * q^40 + 52 * q^41 - 18 * q^44 - 72 * q^45 + 26 * q^46 - 52 * q^49 - 8 * q^50 + 64 * q^51 - 42 * q^54 - 60 * q^55 + 10 * q^56 - 58 * q^59 + 2 * q^60 + 32 * q^61 + 28 * q^64 + 4 * q^65 + 48 * q^66 - 48 * q^69 + 18 * q^70 - 68 * q^71 - 10 * q^74 - 16 * q^76 - 4 * q^80 + 34 * q^81 + 84 * q^84 - 48 * q^85 - 64 * q^86 + 100 * q^89 + 54 * q^90 + 78 * q^91 - 86 * q^94 - 64 * q^95 - 212 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{1}{7}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.781831	+	0.623490i	0.552838	+	0.440874i
$2$	0.781831	+	0.623490i	0.552838	+	0.440874i
$3$	−0.715089	+	1.48490i	−0.412857	+	0.857305i	0.586037	+	0.810284i	$0.300687\pi$
$3$	−0.715089	+	1.48490i	−0.412857	+	0.857305i	−0.998894	+	0.0470214i	$0.985027\pi$
$4$	0.222521	+	0.974928i	0.111260	+	0.487464i
$5$	−1.60019	+	1.56185i	−0.715627	+	0.698482i
$5$	−1.60019	+	1.56185i	−0.715627	+	0.698482i
$6$	−1.48490	+	0.715089i	−0.606207	+	0.291934i
$7$	0.956314	+	2.46687i	0.361453	+	0.932390i
$7$	0.956314	+	2.46687i	0.361453	+	0.932390i
$8$	−0.433884	+	0.900969i	−0.153401	+	0.318541i
$9$	0.176903	+	0.221829i	0.0589676	+	0.0739431i
$10$	−2.22488	+	0.223403i	−0.703569	+	0.0706464i
$11$	2.09193	−	2.62319i	0.630740	−	0.790923i	−0.359071	−	0.933310i	$-0.616906\pi$
$11$	2.09193	−	2.62319i	0.630740	−	0.790923i	0.989811	+	0.142387i	$0.0454779\pi$
$12$	−1.60679	−	0.366739i	−0.463840	−	0.105868i
$13$	−1.42454	−	1.13604i	−0.395098	−	0.315080i	0.405710	−	0.914002i	$-0.367024\pi$
$13$	−1.42454	−	1.13604i	−0.395098	−	0.315080i	−0.800807	+	0.598922i	$0.795596\pi$
$14$	−0.790394	+	2.52493i	−0.211242	+	0.674816i
$15$	−1.17491	−	3.49298i	−0.303361	−	0.901884i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	0.0816197	+	0.0186292i	0.0197957	+	0.00451823i	0.232407	−	0.972619i	$-0.425340\pi$
$17$	0.0816197	+	0.0186292i	0.0197957	+	0.00451823i	−0.212612	+	0.977137i	$0.568197\pi$
$18$			0.283730i			0.0668759i
$19$	−5.48324			−1.25794			−0.628970	−	0.777429i	$-0.716523\pi$
$19$	−5.48324			−1.25794			−0.628970	+	0.777429i	$0.716523\pi$
$20$	−1.87877	−	1.21253i	−0.420106	−	0.271129i
$21$	−4.34690	−	0.344005i	−0.948572	−	0.0750680i
$22$	3.27107	−	0.746600i	0.697394	−	0.159176i
$23$	−0.368805	+	0.0841772i	−0.0769011	+	0.0175522i	−0.260798	−	0.965393i	$-0.583986\pi$
$23$	−0.368805	+	0.0841772i	−0.0769011	+	0.0175522i	0.183897	+	0.982945i	$0.441129\pi$
$24$	−1.02758	−	1.28855i	−0.209754	−	0.263023i
$25$	0.121225	−	4.99853i	0.0242451	−	0.999706i
$26$	−0.405447	−	1.77638i	−0.0795146	−	0.348376i
$27$	−5.27626	+	1.20427i	−1.01542	+	0.231762i
$28$	−2.19222	+	1.48127i	−0.414291	+	0.279933i
$29$	−0.918199	+	4.02289i	−0.170505	+	0.747033i	0.815286	+	0.579058i	$0.196580\pi$
$29$	−0.918199	+	4.02289i	−0.170505	+	0.747033i	−0.985791	+	0.167974i	$0.946277\pi$
$30$	1.25926	−	3.46347i	0.229907	−	0.632340i
$31$	2.65589			0.477012			0.238506	−	0.971141i	$-0.423342\pi$
$31$	2.65589			0.477012			0.238506	+	0.971141i	$0.423342\pi$
$32$	−0.974928	−	0.222521i	−0.172345	−	0.0393365i
$33$	2.39926	+	4.98211i	0.417657	+	0.867274i
$34$	0.0521977	+	0.0654539i	0.00895184	+	0.0112252i
$35$	−5.38318	−	2.45385i	−0.909924	−	0.414776i
$36$	−0.176903	+	0.221829i	−0.0294838	+	0.0369715i
$37$	2.45596	+	0.560557i	0.403757	+	0.0921550i	0.419577	−	0.907720i	$-0.362179\pi$
$37$	2.45596	+	0.560557i	0.403757	+	0.0921550i	−0.0158193	+	0.999875i	$0.505036\pi$
$38$	−4.28697	−	3.41874i	−0.695438	−	0.554593i
$39$	2.70557	−	1.30293i	0.433238	−	0.208637i
$40$	−0.712885	−	2.11939i	−0.112717	−	0.335104i
$41$	8.04907	+	3.87623i	1.25705	+	0.605365i	0.939394	−	0.342840i	$-0.111389\pi$
$41$	8.04907	+	3.87623i	1.25705	+	0.605365i	0.317659	+	0.948205i	$0.397103\pi$
$42$	−3.18406	−	2.97920i	−0.491311	−	0.459701i
$43$	2.32578	+	4.82952i	0.354678	+	0.736496i	0.999615	−	0.0277397i	$-0.00883095\pi$
$43$	2.32578	+	4.82952i	0.354678	+	0.736496i	−0.644938	+	0.764235i	$0.723117\pi$
$44$	3.02292	+	1.45576i	0.455723	+	0.219465i
$45$	−0.629543	−	0.0786728i	−0.0938468	−	0.0117278i
$46$	−0.340827	−	0.164133i	−0.0502522	−	0.0242002i
$47$	5.29473	+	4.22241i	0.772316	+	0.615902i	0.928289	−	0.371860i	$-0.121280\pi$
$47$	5.29473	+	4.22241i	0.772316	+	0.615902i	−0.155973	+	0.987761i	$0.549851\pi$
$48$		−	1.64811i		−	0.237884i
$49$	−5.17093	+	4.71821i	−0.738704	+	0.674030i
$50$	3.21131	−	3.83243i	0.454148	−	0.541987i
$51$	−0.0860277	+	0.107875i	−0.0120463	+	0.0151056i
$52$	0.790562	−	1.64162i	0.109631	−	0.227652i
$53$	6.46819	−	1.47632i	0.888474	−	0.202788i	0.246159	−	0.969229i	$-0.420831\pi$
$53$	6.46819	−	1.47632i	0.888474	−	0.202788i	0.642315	+	0.766441i	$0.277974\pi$
$54$	−4.87600	−	2.34816i	−0.663540	−	0.319544i
$55$	0.749561	+	7.46490i	0.101071	+	1.00657i
$56$	−2.63751	−	0.208727i	−0.352451	−	0.0278923i
$57$	3.92100	−	8.14204i	0.519349	−	1.07844i
$58$	−3.22611	+	2.57274i	−0.423609	+	0.337817i
$59$	0.961100	−	0.462842i	0.125125	−	0.0602568i	−0.370274	−	0.928923i	$-0.620736\pi$
$59$	0.961100	−	0.462842i	0.125125	−	0.0602568i	0.495399	+	0.868666i	$0.335022\pi$
$60$	3.14396	−	1.92272i	0.405884	−	0.248222i
$61$	2.97916	−	13.0525i	0.381442	−	1.67121i	−0.311525	−	0.950238i	$-0.600840\pi$
$61$	2.97916	−	13.0525i	0.381442	−	1.67121i	0.692967	−	0.720969i	$-0.256303\pi$
$62$	2.07646	+	1.65592i	0.263711	+	0.210302i
$63$	−0.378050	+	0.648536i	−0.0476298	+	0.0817078i
$64$	−0.623490	−	0.781831i	−0.0779362	−	0.0977289i
$65$	4.05387	−	0.407055i	0.502820	−	0.0504889i
$66$	−1.23048	+	5.39109i	−0.151462	+	0.663597i
$67$		−	10.5887i		−	1.29362i	−0.762653	−	0.646808i	$-0.776104\pi$
$67$		−	10.5887i		−	1.29362i	0.762653	−	0.646808i	$-0.223896\pi$
$68$			0.0837187i			0.0101524i
$69$	0.138733	−	0.607831i	0.0167015	−	0.0731742i
$70$	−2.67879	−	5.27485i	−0.320177	−	0.630465i
$71$	2.99691	+	13.1303i	0.355668	+	1.55828i	0.763858	+	0.645384i	$0.223303\pi$
$71$	2.99691	+	13.1303i	0.355668	+	1.55828i	−0.408190	+	0.912897i	$0.633840\pi$
$72$	−0.276617	+	0.0631359i	−0.0325996	+	0.00744064i
$73$	−2.86087	+	2.28147i	−0.334840	+	0.267026i	−0.776447	−	0.630183i	$-0.782980\pi$
$73$	−2.86087	+	2.28147i	−0.334840	+	0.267026i	0.441607	+	0.897209i	$0.354409\pi$
$74$	1.57065	+	1.96953i	0.182584	+	0.228953i
$75$	7.33561	+	3.75440i	0.847044	+	0.433521i
$76$	−1.22014	−	5.34576i	−0.139959	−	0.613201i
$77$	8.47163	+	2.65192i	0.965432	+	0.302215i
$78$	2.92767	+	0.668221i	0.331493	+	0.0756611i
$79$	0.769057			0.0865256			0.0432628	−	0.999064i	$-0.486225\pi$
$79$	0.769057			0.0865256			0.0432628	+	0.999064i	$0.486225\pi$
$80$	0.764060	−	2.10148i	0.0854245	−	0.234952i
$81$	1.79537	−	7.86602i	0.199485	−	0.874002i
$82$	3.87623	+	8.04907i	0.428058	+	0.888871i
$83$	−11.9476	+	9.52790i	−1.31142	+	1.04582i	−0.316147	+	0.948710i	$0.602389\pi$
$83$	−11.9476	+	9.52790i	−1.31142	+	1.04582i	−0.995273	+	0.0971125i	$0.969039\pi$
$84$	−0.631896	−	4.31446i	−0.0689456	−	0.470747i
$85$	−0.159703	+	0.0976678i	−0.0173222	+	0.0105936i
$86$	−1.19279	+	5.22597i	−0.128622	+	0.563531i
$87$	−5.31699	−	4.24016i	−0.570041	−	0.454593i
$88$	1.45576	+	3.02292i	0.155185	+	0.322245i
$89$	5.32715	+	6.68004i	0.564677	+	0.708083i	0.979415	−	0.201858i	$-0.0646980\pi$
$89$	5.32715	+	6.68004i	0.564677	+	0.708083i	−0.414738	+	0.909941i	$0.636127\pi$
$90$	−0.443145	−	0.454023i	−0.0467116	−	0.0478582i
$91$	1.44015	−	4.60058i	0.150968	−	0.482272i
$92$	−0.164133	−	0.340827i	−0.0171121	−	0.0355336i
$93$	−1.89920	+	3.94372i	−0.196938	+	0.408945i
$94$	1.50696	+	6.60242i	0.155431	+	0.680988i
$95$	8.77423	−	8.56401i	0.900217	−	0.878649i
$96$	1.02758	−	1.28855i	0.104877	−	0.131512i
$97$		−	10.2256i		−	1.03825i	−0.854697	−	0.519127i	$-0.826257\pi$
$97$		−	10.2256i		−	1.03825i	0.854697	−	0.519127i	$-0.173743\pi$
$98$	−6.98455	+	0.464827i	−0.705546	+	0.0469546i
$99$	0.951969			0.0956765
$100$	4.90018	−	0.994092i	0.490018	−	0.0994092i
$101$	6.46718	+	3.11443i	0.643508	+	0.309897i	0.727027	−	0.686609i	$-0.240901\pi$
$101$	6.46718	+	3.11443i	0.643508	+	0.309897i	−0.0835185	+	0.996506i	$0.526616\pi$
$102$	−0.134518	+	0.0307029i	−0.0133193	+	0.00304004i
$103$	−6.59952	+	13.7041i	−0.650270	+	1.35030i	0.271453	+	0.962452i	$0.412496\pi$
$103$	−6.59952	+	13.7041i	−0.650270	+	1.35030i	−0.921723	+	0.387849i	$0.873218\pi$
$104$	1.64162	−	0.790562i	0.160974	−	0.0775210i
$105$	7.49316	−	6.23875i	0.731257	−	0.608840i
$106$	5.97751	+	2.87861i	0.580587	+	0.279596i
$107$	−12.9438	+	10.3223i	−1.25132	+	0.997895i	−0.251775	+	0.967786i	$0.581014\pi$
$107$	−12.9438	+	10.3223i	−1.25132	+	0.997895i	−0.999547	+	0.0301094i	$0.990414\pi$
$108$	−2.34816	−	4.87600i	−0.225952	−	0.469193i
$109$	7.27982	−	9.12860i	0.697280	−	0.874362i	−0.299537	−	0.954085i	$-0.596832\pi$
$109$	7.27982	−	9.12860i	0.697280	−	0.874362i	0.996817	+	0.0797230i	$0.0254036\pi$
$110$	−4.06826	+	6.30364i	−0.387893	+	0.601028i
$111$	−2.58860	+	3.24600i	−0.245699	+	0.308097i
$112$	−1.93195	−	1.80765i	−0.182552	−	0.170807i
$113$	−3.01084	+	2.40106i	−0.283236	+	0.225873i	−0.754794	−	0.655962i	$-0.772263\pi$
$113$	−3.01084	+	2.40106i	−0.283236	+	0.225873i	0.471558	+	0.881835i	$0.343692\pi$
$114$	8.14204	−	3.92100i	0.762572	−	0.367235i
$115$	0.458685	−	0.710719i	0.0427726	−	0.0662748i
$116$	−4.12635			−0.383122
$117$		−	0.516974i		−	0.0477942i
$118$	1.04000	+	0.237372i	0.0957394	+	0.0218519i
$119$	0.0320983	+	0.219161i	0.00294244	+	0.0200904i
$120$	3.65684	+	0.456988i	0.333823	+	0.0417171i
$121$	−0.0572569	−	0.250859i	−0.00520517	−	0.0228053i
$122$	10.4673	−	8.34742i	0.947668	−	0.755740i
$123$	−11.5116	+	9.18019i	−1.03797	+	0.827750i
$124$	0.590991	+	2.58930i	0.0530726	+	0.232526i
$125$	7.61299	+	8.18794i	0.680926	+	0.732352i
$126$	−0.699927	+	0.271335i	−0.0623544	+	0.0241725i
$127$	14.4962	+	3.30865i	1.28633	+	0.293595i	0.810393	−	0.585886i	$-0.199254\pi$
$127$	14.4962	+	3.30865i	1.28633	+	0.293595i	0.475932	+	0.879482i	$0.342111\pi$
$128$		−	1.00000i		−	0.0883883i
$129$	−8.83448			−0.777833
$130$	3.42323	+	2.20930i	0.300238	+	0.193768i
$131$	12.7834	−	6.15616i	1.11689	−	0.537867i	0.217961	−	0.975958i	$-0.430059\pi$
$131$	12.7834	−	6.15616i	1.11689	−	0.537867i	0.898931	+	0.438091i	$0.144345\pi$
$132$	−4.32332	+	3.44773i	−0.376296	+	0.300086i
$133$	−5.24370	−	13.5265i	−0.454686	−	1.17289i
$134$	6.60195	−	8.27858i	0.570321	−	0.715160i
$135$	6.56213	−	10.1678i	0.564778	−	0.875106i
$136$	−0.0521977	+	0.0654539i	−0.00447592	+	0.00561262i
$137$	−6.72111	−	13.9565i	−0.574223	−	1.19239i	−0.962610	−	0.270891i	$-0.912682\pi$
$137$	−6.72111	−	13.9565i	−0.574223	−	1.19239i	0.388387	−	0.921496i	$-0.373032\pi$
$138$	0.487443	−	0.388722i	0.0414939	−	0.0330903i
$139$	13.4412	+	6.47294i	1.14007	+	0.549028i	0.906036	−	0.423201i	$-0.139094\pi$
$139$	13.4412	+	6.47294i	1.14007	+	0.549028i	0.234032	+	0.972229i	$0.424808\pi$
$140$	1.19445	−	5.79425i	0.100950	−	0.489703i
$141$	−10.0560	+	4.84274i	−0.846872	+	0.407832i
$142$	−5.84354	+	12.1342i	−0.490379	+	1.01828i
$143$	−5.96009	+	1.36035i	−0.498408	+	0.113758i
$144$	−0.255632	−	0.123106i	−0.0213027	−	0.0102588i
$145$	−4.81388	−	7.87150i	−0.399771	−	0.653692i
$146$	−3.65920			−0.302837
$147$	−3.30839	−	11.0522i	−0.272871	−	0.911573i
$148$			2.51912i			0.207070i
$149$	0.596223	−	0.747640i	0.0488445	−	0.0612490i	−0.756809	−	0.653636i	$-0.773243\pi$
$149$	0.596223	−	0.747640i	0.0488445	−	0.0612490i	0.805654	+	0.592387i	$0.201814\pi$
$150$	3.39438	+	7.50899i	0.277150	+	0.613106i
$151$	−0.673315	−	2.94999i	−0.0547936	−	0.240066i	0.940114	−	0.340861i	$-0.110719\pi$
$151$	−0.673315	−	2.94999i	−0.0547936	−	0.240066i	−0.994907	+	0.100795i	$0.967861\pi$
$152$	2.37909	−	4.94023i	0.192969	−	0.400705i
$153$	0.0103063	+	0.0214012i	0.000833212	+	0.00173018i
$154$	4.96994	+	7.35533i	0.400489	+	0.592709i
$155$	−4.24993	+	4.14811i	−0.341363	+	0.333184i
$156$	1.87231	+	2.34781i	0.149905	+	0.187975i
$157$	−0.110140	−	0.228708i	−0.00879013	−	0.0182529i	0.896528	−	0.442988i	$-0.146082\pi$
$157$	−0.110140	−	0.228708i	−0.00879013	−	0.0182529i	−0.905318	+	0.424735i	$0.860367\pi$
$158$	0.601273	+	0.479499i	0.0478347	+	0.0381469i
$159$	−2.43314	+	10.6603i	−0.192961	+	0.845416i
$160$	1.90762	−	1.16662i	0.150810	−	0.0922293i
$161$	−0.560348	−	0.829294i	−0.0441616	−	0.0653575i
$162$	6.30806	−	5.03051i	0.495608	−	0.395234i
$163$	0.780830	+	1.62141i	0.0611593	+	0.126999i	0.929308	−	0.369305i	$-0.120404\pi$
$163$	0.780830	+	1.62141i	0.0611593	+	0.126999i	−0.868149	+	0.496304i	$0.834690\pi$
$164$	−1.98796	+	8.70980i	−0.155233	+	0.680121i
$165$	−11.6206	−	4.22504i	−0.904663	−	0.328919i
$166$	−15.2816			−1.18608
$167$	−18.6956	−	4.26716i	−1.44671	−	0.330203i	−0.574168	−	0.818738i	$-0.694674\pi$
$167$	−18.6956	−	4.26716i	−1.44671	−	0.330203i	−0.872544	+	0.488535i	$0.837531\pi$
$168$	2.19599	−	3.76716i	0.169424	−	0.290643i
$169$	−2.15402	−	9.43739i	−0.165694	−	0.725953i
$170$	−0.185756	−	0.0232135i	−0.0142468	−	0.00178040i
$171$	−0.970001	−	1.21634i	−0.0741778	−	0.0930160i
$172$	−4.19090	+	3.34213i	−0.319553	+	0.254835i
$173$	17.0490	−	3.89133i	1.29621	−	0.295852i	0.481874	−	0.876241i	$-0.339956\pi$
$173$	17.0490	−	3.89133i	1.29621	−	0.295852i	0.814340	+	0.580388i	$0.197099\pi$
$174$	−1.51329	−	6.63018i	−0.114723	−	0.502632i
$175$	12.4467	−	4.48112i	0.940880	−	0.338741i
$176$	−0.746600	+	3.27107i	−0.0562771	+	0.246566i
$177$			1.75811i			0.132147i
$178$			8.54409i			0.640407i
$179$	−3.95659	+	17.3349i	−0.295729	+	1.29567i	0.580690	+	0.814125i	$0.302783\pi$
$179$	−3.95659	+	17.3349i	−0.295729	+	1.29567i	−0.876419	+	0.481549i	$0.840074\pi$
$180$	−0.0633863	−	0.631266i	−0.00472454	−	0.0470518i
$181$	−0.815828	−	1.02302i	−0.0606400	−	0.0760402i	0.750586	−	0.660772i	$-0.229771\pi$
$181$	−0.815828	−	1.02302i	−0.0606400	−	0.0760402i	−0.811226	+	0.584732i	$0.801200\pi$
$182$	3.99436	−	2.69896i	0.296082	−	0.200060i
$183$	17.2513	+	13.7575i	1.27525	+	1.01698i
$184$	0.0841772	−	0.368805i	0.00620563	−	0.0271886i
$185$	−4.80551	+	2.93885i	−0.353308	+	0.216069i
$186$	−3.94372	+	1.89920i	−0.289168	+	0.139256i
$187$	0.219610	−	0.175133i	0.0160595	−	0.0128070i
$188$	−2.93835	+	6.10156i	−0.214302	+	0.445002i
$189$	−8.01655	−	11.8642i	−0.583118	−	0.862994i
$190$	12.1995	−	1.22497i	0.885048	−	0.0888690i
$191$	−4.43944	−	2.13792i	−0.321226	−	0.154694i	0.266321	−	0.963884i	$-0.414192\pi$
$191$	−4.43944	−	2.13792i	−0.321226	−	0.154694i	−0.587547	+	0.809190i	$0.699906\pi$
$192$	1.60679	−	0.366739i	0.115960	−	0.0264671i
$193$	5.16600	−	10.7273i	0.371857	−	0.772168i	−0.628126	−	0.778112i	$-0.716178\pi$
$193$	5.16600	−	10.7273i	0.371857	−	0.772168i	0.999982	+	0.00594358i	$0.00189191\pi$
$194$	6.37556	−	7.99470i	0.457739	−	0.573986i
$195$	−2.29444	+	6.31065i	−0.164308	+	0.451915i
$196$	−5.75056	−	3.99138i	−0.410754	−	0.285099i
$197$		−	5.68716i		−	0.405193i	−0.979262	−	0.202597i	$-0.935062\pi$
$197$		−	5.68716i		−	0.405193i	0.979262	−	0.202597i	$-0.0649381\pi$
$198$	0.744280	+	0.593543i	0.0528936	+	0.0421813i
$199$	−4.48885	−	2.16171i	−0.318206	−	0.153240i	0.267962	−	0.963429i	$-0.413650\pi$
$199$	−4.48885	−	2.16171i	−0.318206	−	0.153240i	−0.586168	+	0.810190i	$0.699364\pi$
$200$	4.45092	+	2.27800i	0.314728	+	0.161079i
$201$	15.7231	+	7.57186i	1.10902	+	0.534078i
$202$	3.11443	+	6.46718i	0.219131	+	0.455029i
$203$	−10.8021	+	1.58207i	−0.758156	+	0.111040i
$204$	−0.124314	−	0.0598663i	−0.00870369	−	0.00419148i
$205$	−18.9341	+	6.36876i	−1.32242	+	0.444814i
$206$	−13.7041	+	6.59952i	−0.954806	+	0.459811i
$207$	−0.0839156	−	0.0669204i	−0.00583254	−	0.00465129i
$208$	1.77638	+	0.405447i	0.123170	+	0.0281127i
$209$	−11.4705	+	14.3836i	−0.793434	+	0.994934i
$210$	9.74819	−	0.205743i	0.672689	−	0.0141976i
$211$	−16.7032	−	20.9451i	−1.14990	−	1.44192i	−0.877396	−	0.479767i	$-0.840721\pi$
$211$	−16.7032	−	20.9451i	−1.14990	−	1.44192i	−0.272500	−	0.962156i	$-0.587850\pi$
$212$	2.87861	+	5.97751i	0.197704	+	0.410537i
$213$	−21.6402	−	4.93924i	−1.48276	−	0.338431i
$214$	−16.5557			−1.13172
$215$	−11.2647	−	4.09564i	−0.768246	−	0.279320i
$216$	1.20427	−	5.27626i	0.0819404	−	0.359004i
$217$	2.53987	+	6.55174i	0.172417	+	0.444761i
$218$	11.3832	−	2.59814i	0.770966	−	0.175968i
$219$	−1.34197	−	5.87956i	−0.0906820	−	0.397304i
$220$	−7.11094	+	2.39186i	−0.479420	+	0.161259i
$221$	−0.0951074	−	0.119261i	−0.00639762	−	0.00802236i
$222$	−4.04770	+	0.923860i	−0.271664	+	0.0620054i
$223$	8.47717	−	1.93486i	0.567674	−	0.129568i	0.0709551	−	0.997480i	$-0.477395\pi$
$223$	8.47717	−	1.93486i	0.567674	−	0.129568i	0.496718	+	0.867912i	$0.334538\pi$
$224$	−0.383406	−	2.61782i	−0.0256174	−	0.174911i
$225$	1.13027	−	0.857363i	0.0753510	−	0.0571575i
$226$	−3.85100			−0.256165
$227$		−	6.78383i		−	0.450259i	−0.974329	−	0.225129i	$-0.927720\pi$
$227$		−	6.78383i		−	0.450259i	0.974329	−	0.225129i	$-0.0722805\pi$
$228$	8.81041	+	2.01092i	0.583483	+	0.133176i
$229$	6.51691	−	3.13838i	0.430650	−	0.207390i	−0.205986	−	0.978555i	$-0.566040\pi$
$229$	6.51691	−	3.13838i	0.430650	−	0.207390i	0.636635	+	0.771165i	$0.280326\pi$
$230$	0.801740	−	0.269676i	0.0528652	−	0.0177819i
$231$	−9.99579	+	10.6831i	−0.657675	+	0.702899i
$232$	−3.22611	−	2.57274i	−0.211805	−	0.168909i
$233$	11.4215	+	2.60689i	0.748249	+	0.170783i	0.579609	−	0.814895i	$-0.303205\pi$
$233$	11.4215	+	2.60689i	0.748249	+	0.170783i	0.168640	+	0.985678i	$0.446062\pi$
$234$	0.322328	−	0.404186i	0.0210712	−	0.0264225i
$235$	−15.0674	+	1.51294i	−0.982887	+	0.0986931i
$236$	0.665102	+	0.834012i	0.0432945	+	0.0542895i
$237$	−0.549944	+	1.14197i	−0.0357227	+	0.0741789i
$238$	−0.111549	+	0.191360i	−0.00723065	+	0.0124040i
$239$	17.2511	−	8.30769i	1.11588	−	0.537380i	0.217264	−	0.976113i	$-0.430287\pi$
$239$	17.2511	−	8.30769i	1.11588	−	0.537380i	0.898617	+	0.438733i	$0.144573\pi$
$240$	2.57411	+	2.63729i	0.166158	+	0.170237i
$241$	3.63252	+	15.9151i	0.233991	+	1.02518i	0.946293	+	0.323310i	$0.104796\pi$
$241$	3.63252	+	15.9151i	0.233991	+	1.02518i	−0.712302	+	0.701873i	$0.752347\pi$
$242$	0.111643	−	0.231828i	0.00717666	−	0.0149025i
$243$	−2.29733	−	1.83206i	−0.147374	−	0.117527i
$244$	13.3882			0.857093
$245$	0.905315	−	15.6263i	0.0578385	−	0.998326i
$246$	−14.7239			−0.938760
$247$	7.81111	+	6.22916i	0.497009	+	0.396352i
$248$	−1.15235	+	2.39287i	−0.0731742	+	0.151948i
$249$	−5.60435	−	24.5543i	−0.355161	−	1.55606i
$250$	0.846977	+	11.1482i	0.0535675	+	0.705075i
$251$	9.90086	−	4.76800i	0.624937	−	0.300954i	−0.0944860	−	0.995526i	$-0.530121\pi$
$251$	9.90086	−	4.76800i	0.624937	−	0.300954i	0.719423	+	0.694573i	$0.244406\pi$
$252$	−0.716399	−	0.224259i	−0.0451289	−	0.0141270i
$253$	−0.550699	+	1.14354i	−0.0346222	+	0.0718937i
$254$	9.27064	+	11.6250i	0.581692	+	0.729418i
$255$	−0.0308247	−	0.306984i	−0.00193032	−	0.0192241i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	29.2091	+	6.66678i	1.82201	+	0.415862i	0.990253	−	0.139277i	$-0.0444779\pi$
$257$	29.2091	+	6.66678i	1.82201	+	0.415862i	0.831757	+	0.555139i	$0.187335\pi$
$258$	−6.90707	−	5.50821i	−0.430016	−	0.342926i
$259$	0.965847	+	6.59461i	0.0600148	+	0.409769i
$260$	1.29892	+	3.86165i	0.0805555	+	0.239489i
$261$	−1.05483	+	0.507978i	−0.0652922	+	0.0314431i
$262$	13.8328	+	3.15724i	0.854592	+	0.195055i
$263$			9.91978i			0.611680i	0.952083	+	0.305840i	$0.0989372\pi$
$263$			9.91978i			0.611680i	−0.952083	+	0.305840i	$0.901063\pi$
$264$	−5.52973			−0.340331
$265$	−8.04454	+	12.4648i	−0.494172	+	0.765704i
$266$	4.33392	−	13.8448i	0.265729	−	0.848879i
$267$	−13.7286	+	3.13345i	−0.840174	+	0.191764i
$268$	10.3232	−	2.35621i	0.630591	−	0.143928i
$269$	−16.5481	−	20.7507i	−1.00896	−	1.26519i	−0.963916	−	0.266207i	$-0.914229\pi$
$269$	−16.5481	−	20.7507i	−1.00896	−	1.26519i	−0.0450413	−	0.998985i	$-0.514342\pi$
$270$	11.4700	−	3.85810i	0.698043	−	0.234796i
$271$	−1.94913	−	8.53970i	−0.118401	−	0.518750i	−0.998993	−	0.0448735i	$-0.985712\pi$
$271$	−1.94913	−	8.53970i	−0.118401	−	0.518750i	0.880591	−	0.473876i	$-0.157146\pi$
$272$	−0.0816197	+	0.0186292i	−0.00494892	+	0.00112956i
$273$	5.80155	+	5.42829i	0.351126	+	0.328535i
$274$	3.44698	−	15.1022i	0.208240	−	0.912357i
$275$	−12.8585	−	10.7746i	−0.775398	−	0.649730i
$276$	0.623462			0.0375280
$277$	14.1895	+	3.23866i	0.852564	+	0.194592i	0.626404	−	0.779498i	$-0.284526\pi$
$277$	14.1895	+	3.23866i	0.852564	+	0.194592i	0.226159	+	0.974090i	$0.427383\pi$
$278$	6.47294	+	13.4412i	0.388221	+	0.806150i
$279$	0.469835	+	0.589154i	0.0281283	+	0.0352717i
$280$	4.54651	−	3.78539i	0.271706	−	0.226221i
$281$	−8.84361	+	11.0895i	−0.527566	+	0.661547i	−0.972196	−	0.234168i	$-0.924764\pi$
$281$	−8.84361	+	11.0895i	−0.527566	+	0.661547i	0.444631	+	0.895714i	$0.353335\pi$
$282$	−10.8815	−	2.48364i	−0.647985	−	0.147898i
$283$	−16.4696	−	13.1341i	−0.979016	−	0.780740i	−0.00334879	−	0.999994i	$-0.501066\pi$
$283$	−16.4696	−	13.1341i	−0.979016	−	0.780740i	−0.975668	+	0.219255i	$0.929637\pi$
$284$	−12.1342	+	5.84354i	−0.720034	+	0.346750i
$285$	6.44233	+	19.1529i	0.381610	+	1.13452i
$286$	−5.50795	−	2.65249i	−0.325692	−	0.156845i
$287$	−1.86472	+	23.5629i	−0.110071	+	1.39087i
$288$	−0.123106	−	0.255632i	−0.00725409	−	0.0150633i
$289$	−15.3102	−	7.37298i	−0.900597	−	0.433705i
$290$	1.14416	−	9.15559i	0.0671871	−	0.537635i
$291$	15.1840	+	7.31222i	0.890100	+	0.428650i
$292$	−2.86087	−	2.28147i	−0.167420	−	0.133513i
$293$		−	18.4571i		−	1.07828i	−0.842217	−	0.539139i	$-0.818750\pi$
$293$		−	18.4571i		−	1.07828i	0.842217	−	0.539139i	$-0.181250\pi$
$294$	4.30435	−	10.7037i	0.251035	−	0.624254i
$295$	−0.815054	+	2.24173i	−0.0474543	+	0.130519i
$296$	−1.57065	+	1.96953i	−0.0912919	+	0.114476i
$297$	−7.87852	+	16.3599i	−0.457158	+	0.949298i
$298$	0.932291	−	0.212789i	0.0540062	−	0.0123266i
$299$	0.621007	+	0.299061i	0.0359138	+	0.0172952i
$300$	−2.02794	+	7.98713i	−0.117083	+	0.461137i
$301$	−9.68965	+	10.3559i	−0.558502	+	0.596906i
$302$	1.31287	−	2.72620i	0.0755470	−	0.156875i
$303$	−9.24921	+	7.37600i	−0.531353	+	0.423740i
$304$	4.94023	−	2.37909i	0.283341	−	0.136450i
$305$	15.6189	+	25.5396i	0.894338	+	1.46239i
$306$	−0.00528565	+	0.0231580i	−0.000302161	+	0.00132385i
$307$	−2.72862	−	2.17600i	−0.155731	−	0.124191i	0.542525	−	0.840040i	$-0.317469\pi$
$307$	−2.72862	−	2.17600i	−0.155731	−	0.124191i	−0.698255	+	0.715849i	$0.746040\pi$
$308$	−0.700318	+	8.84933i	−0.0399043	+	0.504238i
$309$	−15.6299	−	19.5992i	−0.889151	−	1.11496i
$310$	−5.90904	+	0.593335i	−0.335611	+	0.0336992i
$311$	4.43297	−	19.4221i	0.251370	−	1.10133i	−0.678836	−	0.734290i	$-0.737515\pi$
$311$	4.43297	−	19.4221i	0.251370	−	1.10133i	0.930207	−	0.367036i	$-0.119628\pi$
$312$			3.00296i			0.170009i
$313$		−	13.6634i		−	0.772302i	−0.922436	−	0.386151i	$-0.873804\pi$
$313$		−	13.6634i		−	0.772302i	0.922436	−	0.386151i	$-0.126196\pi$
$314$	0.0564863	−	0.247482i	0.00318770	−	0.0139662i
$315$	−0.407966	−	1.62824i	−0.0229863	−	0.0917409i
$316$	0.171131	+	0.749775i	0.00962688	+	0.0421781i
$317$	−12.9056	+	2.94562i	−0.724852	+	0.165443i	−0.569000	−	0.822338i	$-0.692669\pi$
$317$	−12.9056	+	2.94562i	−0.724852	+	0.165443i	−0.155852	+	0.987780i	$0.549812\pi$
$318$	−8.54889	+	6.81751i	−0.479398	+	0.382307i
$319$	8.63203	+	10.8242i	0.483301	+	0.606040i
$320$	2.21881	+	0.277280i	0.124035	+	0.0155004i
$321$	−6.07162	−	26.6015i	−0.338885	−	1.48475i
$322$	0.0789591	−	0.997739i	0.00440022	−	0.0556018i
$323$	−0.447540	−	0.102148i	−0.0249018	−	0.00568367i
$324$	8.06831			0.448239
$325$	−5.85120	+	6.98291i	−0.324566	+	0.387342i
$326$	−0.400455	+	1.75451i	−0.0221792	+	0.0971733i
$327$	8.34932	+	17.3375i	0.461718	+	0.958768i
$328$	−6.98472	+	5.57013i	−0.385667	+	0.307559i
$329$	−5.35272	+	17.0994i	−0.295105	+	0.942720i
$330$	−6.45108	−	10.5486i	−0.355121	−	0.580681i
$331$	−4.59857	+	20.1477i	−0.252760	+	1.10742i	0.676049	+	0.736857i	$0.263691\pi$
$331$	−4.59857	+	20.1477i	−0.252760	+	1.10742i	−0.928809	+	0.370559i	$0.879166\pi$
$332$	−11.9476	−	9.52790i	−0.655710	−	0.522911i
$333$	0.310119	+	0.643968i	0.0169944	+	0.0352892i
$334$	−11.9563	−	14.9927i	−0.654220	−	0.820366i
$335$	16.5380	+	16.9440i	0.903568	+	0.925747i
$336$	4.06568	−	1.57611i	0.221801	−	0.0859840i
$337$	−11.6386	−	24.1677i	−0.633994	−	1.31650i	−0.932181	−	0.361994i	$-0.882096\pi$
$337$	−11.6386	−	24.1677i	−0.633994	−	1.31650i	0.298187	−	0.954507i	$-0.403618\pi$
$338$	4.20004	−	8.72146i	0.228452	−	0.474385i
$339$	−1.41231	−	6.18775i	−0.0767064	−	0.336073i
$340$	−0.130756	−	0.133966i	−0.00709126	−	0.00726532i
$341$	5.55593	−	6.96692i	0.300871	−	0.377280i
$342$		−	1.55576i		−	0.0841259i
$343$	−16.5843	−	8.24393i	−0.895466	−	0.445130i
$344$	−5.36037			−0.289012
$345$	0.727343	+	1.18933i	0.0391588	+	0.0640312i
$346$	15.7557	+	7.58753i	0.847030	+	0.407908i
$347$	5.78390	−	1.32014i	0.310496	−	0.0708686i	−0.0644337	−	0.997922i	$-0.520524\pi$
$347$	5.78390	−	1.32014i	0.310496	−	0.0708686i	0.374929	+	0.927053i	$0.377667\pi$
$348$	2.95071	−	6.12720i	0.158174	−	0.328453i
$349$	−6.98365	+	3.36315i	−0.373826	+	0.180025i	−0.611357	−	0.791355i	$-0.709376\pi$
$349$	−6.98365	+	3.36315i	−0.373826	+	0.180025i	0.237531	+	0.971380i	$0.423662\pi$
$350$	12.5251	+	4.25689i	0.669496	+	0.227540i
$351$	8.88437	+	4.27849i	0.474212	+	0.228369i
$352$	−2.62319	+	2.09193i	−0.139817	+	0.111500i
$353$	−2.21561	−	4.60076i	−0.117925	−	0.244874i	0.833648	−	0.552296i	$-0.186248\pi$
$353$	−2.21561	−	4.60076i	−0.117925	−	0.244874i	−0.951573	+	0.307422i	$0.900534\pi$
$354$	−1.09616	+	1.37454i	−0.0582604	+	0.0730562i
$355$	−25.3033	−	16.3303i	−1.34296	−	0.866721i
$356$	−5.32715	+	6.68004i	−0.282339	+	0.354041i
$357$	−0.348384	−	0.109057i	−0.0184384	−	0.00577189i
$358$	−13.9015	+	11.0861i	−0.734719	+	0.585919i
$359$	−19.8431	+	9.55591i	−1.04728	+	0.504342i	−0.876717	−	0.481006i	$-0.840272\pi$
$359$	−19.8431	+	9.55591i	−1.04728	+	0.504342i	−0.170559	+	0.985347i	$0.554557\pi$
$360$	0.344030	−	0.533064i	0.0181320	−	0.0280949i
$361$	11.0659			0.582415
$362$		−	1.30849i		−	0.0687725i
$363$	0.413443	+	0.0943656i	0.0217001	+	0.00495291i
$364$	4.80569	+	0.380313i	0.251887	+	0.0199338i
$365$	1.01462	−	8.11906i	0.0531078	−	0.424971i
$366$	4.90998	+	21.5120i	0.256649	+	1.12445i
$367$	13.8652	−	11.0572i	0.723759	−	0.577179i	−0.190801	−	0.981629i	$-0.561108\pi$
$367$	13.8652	−	11.0572i	0.723759	−	0.577179i	0.914560	+	0.404450i	$0.132537\pi$
$368$	0.295758	−	0.235859i	0.0154175	−	0.0122950i
$369$	0.564043	+	2.47123i	0.0293629	+	0.128647i
$370$	−5.58945	−	0.698502i	−0.290582	−	0.0363134i
$371$	9.82752	+	14.5444i	0.510219	+	0.755106i
$372$	−4.26746	−	0.974019i	−0.221257	−	0.0505005i
$373$		−	26.2277i		−	1.35802i	−0.734131	−	0.679008i	$-0.762410\pi$
$373$		−	26.2277i		−	1.35802i	0.734131	−	0.679008i	$-0.237590\pi$
$374$	0.280892			0.0145246
$375$	−17.6022	+	5.44940i	−0.908974	+	0.281406i
$376$	−6.10156	+	2.93835i	−0.314664	+	0.151534i
$377$	5.87817	−	4.68768i	0.302741	−	0.241428i
$378$	1.12962	−	14.2741i	0.0581014	−	0.734178i
$379$	−6.35610	+	7.97030i	−0.326491	+	0.409407i	−0.917803	−	0.397036i	$-0.870039\pi$
$379$	−6.35610	+	7.97030i	−0.326491	+	0.409407i	0.591312	+	0.806443i	$0.298610\pi$
$380$	10.3017	+	6.64857i	0.528468	+	0.341064i
$381$	−15.2790	+	19.1593i	−0.782769	+	0.981561i
$382$	−2.13792	−	4.43944i	−0.109385	−	0.227141i
$383$	24.9070	−	19.8626i	1.27269	−	1.01493i	0.274105	−	0.961700i	$-0.411619\pi$
$383$	24.9070	−	19.8626i	1.27269	−	1.01493i	0.998582	−	0.0532338i	$-0.0169528\pi$
$384$	1.48490	+	0.715089i	0.0757758	+	0.0364917i
$385$	−17.6981	+	8.98786i	−0.901981	+	0.458064i
$386$	10.7273	−	5.16600i	0.546005	−	0.262942i
$387$	−0.659893	+	1.37028i	−0.0335442	+	0.0696554i
$388$	9.96923	−	2.27541i	0.506111	−	0.115517i
$389$	14.0287	+	6.75588i	0.711285	+	0.342537i	0.754293	−	0.656538i	$-0.227980\pi$
$389$	14.0287	+	6.75588i	0.711285	+	0.342537i	−0.0430080	+	0.999075i	$0.513694\pi$
$390$	−5.72849	+	3.50331i	−0.290073	+	0.177397i
$391$	−0.0316699			−0.00160161
$392$	−2.00738	−	6.70600i	−0.101388	−	0.338704i
$393$			23.3842i			1.17958i
$394$	3.54589	−	4.44640i	0.178639	−	0.224006i
$395$	−1.23064	+	1.20115i	−0.0619201	+	0.0604366i
$396$	0.211833	+	0.928101i	0.0106450	+	0.0466389i
$397$	−5.46956	+	11.3576i	−0.274509	+	0.570024i	−0.991955	−	0.126590i	$-0.959597\pi$
$397$	−5.46956	+	11.3576i	−0.274509	+	0.570024i	0.717446	+	0.696614i	$0.245311\pi$
$398$	−2.16171	−	4.48885i	−0.108357	−	0.225006i
$399$	23.8351	+	1.88626i	1.19325	+	0.0944312i
$400$	2.05956	+	4.55612i	0.102978	+	0.227806i
$401$	21.7720	+	27.3012i	1.08724	+	1.36336i	0.926470	+	0.376368i	$0.122827\pi$
$401$	21.7720	+	27.3012i	1.08724	+	1.36336i	0.160772	+	0.986992i	$0.448602\pi$
$402$	7.57186	+	15.7231i	0.377650	+	0.784198i
$403$	−3.78343	−	3.01719i	−0.188466	−	0.150297i
$404$	−1.59726	+	6.99806i	−0.0794667	+	0.348167i
$405$	9.41264	+	15.3912i	0.467718	+	0.764797i
$406$	−9.43179	−	5.49806i	−0.468092	−	0.272864i
$407$	6.60814	−	5.26982i	0.327553	−	0.261215i
$408$	−0.0598663	−	0.124314i	−0.00296382	−	0.00615444i
$409$	4.37368	−	19.1623i	0.216264	−	0.947517i	−0.743946	−	0.668240i	$-0.767048\pi$
$409$	4.37368	−	19.1623i	0.216264	−	0.947517i	0.960211	−	0.279277i	$-0.0900948\pi$
$410$	−18.7742	−	6.82595i	−0.927190	−	0.337110i
$411$	25.5302			1.25931
$412$	−14.8290	−	3.38462i	−0.730572	−	0.166748i
$413$	2.06089	+	1.92829i	0.101410	+	0.0948850i
$414$	−0.0238836	−	0.104641i	−0.00117382	−	0.00514283i
$415$	4.23727	−	33.9069i	0.208000	−	1.66442i
$416$	1.13604	+	1.42454i	0.0556988	+	0.0698440i
$417$	−19.2233	+	15.3301i	−0.941369	+	0.750717i
$418$	−17.9361	+	4.09379i	−0.877281	+	0.200234i
$419$	−1.55882	−	6.82965i	−0.0761535	−	0.333650i	0.922472	−	0.386064i	$-0.126166\pi$
$419$	−1.55882	−	6.82965i	−0.0761535	−	0.333650i	−0.998625	+	0.0524137i	$0.983309\pi$
$420$	7.74972	+	5.91704i	0.378147	+	0.288722i
$421$	2.86535	−	12.5539i	0.139649	−	0.611841i	−0.855863	−	0.517203i	$-0.826973\pi$
$421$	2.86535	−	12.5539i	0.139649	−	0.611841i	0.995512	−	0.0946385i	$-0.0301695\pi$
$422$		−	26.7898i		−	1.30411i
$423$			1.92148i			0.0934257i
$424$	−1.47632	+	6.46819i	−0.0716965	+	0.314123i
$425$	0.103013	−	0.405720i	0.00499685	−	0.0196803i
$426$	−13.8394	−	17.3541i	−0.670523	−	0.840809i
$427$	35.0480	−	5.13313i	1.69609	−	0.248410i
$428$	−12.9438	−	10.3223i	−0.625661	−	0.498948i
$429$	2.24201	−	9.82289i	0.108245	−	0.474253i
$430$	−6.25351	−	10.2255i	−0.301571	−	0.493119i
$431$	30.8197	−	14.8420i	1.48453	−	0.714913i	0.496339	−	0.868129i	$-0.334677\pi$
$431$	30.8197	−	14.8420i	1.48453	−	0.714913i	0.988193	+	0.153216i	$0.0489631\pi$
$432$	4.23123	−	3.37430i	0.203575	−	0.162346i
$433$	7.24552	−	15.0455i	0.348197	−	0.723039i	−0.651158	−	0.758942i	$-0.725716\pi$
$433$	7.24552	−	15.0455i	0.348197	−	0.723039i	0.999355	+	0.0359029i	$0.0114307\pi$
$434$	−2.09920	+	6.70594i	−0.100765	+	0.321895i
$435$	15.1307	−	1.51930i	0.725462	−	0.0728447i
$436$	10.5196	+	5.06599i	0.503800	+	0.242617i
$437$	2.02224	−	0.461564i	0.0967370	−	0.0220796i
$438$	2.61665	−	5.43353i	0.125028	−	0.259624i
$439$	−12.2520	+	15.3636i	−0.584758	+	0.733263i	−0.982916	−	0.184053i	$-0.941078\pi$
$439$	−12.2520	+	15.3636i	−0.584758	+	0.733263i	0.398158	+	0.917317i	$0.369649\pi$
$440$	−7.05086	−	2.56357i	−0.336137	−	0.122213i
$441$	−1.96139	−	0.312397i	−0.0933995	−	0.0148761i
$442$		−	0.152540i		−	0.00725561i
$443$	1.78920	+	1.42684i	0.0850076	+	0.0677913i	0.665072	−	0.746780i	$-0.268401\pi$
$443$	1.78920	+	1.42684i	0.0850076	+	0.0677913i	−0.580064	+	0.814571i	$0.696972\pi$
$444$	−3.74063	−	1.80139i	−0.177523	−	0.0854904i
$445$	−18.9577	−	2.36911i	−0.898682	−	0.112306i
$446$	7.83409	+	3.77270i	0.370955	+	0.178642i
$447$	0.683815	+	1.41996i	0.0323434	+	0.0671617i
$448$	1.33243	−	2.28575i	0.0629513	−	0.107991i
$449$	20.6812	+	9.95954i	0.976006	+	0.470020i	0.852730	−	0.522353i	$-0.174946\pi$
$449$	20.6812	+	9.95954i	0.976006	+	0.470020i	0.123276	+	0.992372i	$0.460660\pi$
$450$	1.41823	+	0.0343953i	0.0668562	+	0.00162141i
$451$	27.0062	−	13.0055i	1.27167	−	0.612404i
$452$	−3.01084	−	2.40106i	−0.141618	−	0.112936i
$453$	4.86190	+	1.10970i	0.228432	+	0.0521382i
$454$	4.22965	−	5.30381i	0.198507	−	0.248920i
$455$	4.88092	+	9.61110i	0.228821	+	0.450575i
$456$	5.63447	+	7.06540i	0.263858	+	0.330868i
$457$	15.3370	+	31.8477i	0.717436	+	1.48977i	0.865561	+	0.500803i	$0.166962\pi$
$457$	15.3370	+	31.8477i	0.717436	+	1.48977i	−0.148125	+	0.988969i	$0.547324\pi$
$458$	7.05187	+	1.60954i	0.329512	+	0.0752091i
$459$	−0.453081			−0.0211480
$460$	0.794966	+	0.289035i	0.0370655	+	0.0134763i
$461$	3.22676	−	14.1373i	0.150285	−	0.658442i	−0.842516	−	0.538671i	$-0.818927\pi$
$461$	3.22676	−	14.1373i	0.150285	−	0.658442i	0.992802	−	0.119771i	$-0.0382161\pi$
$462$	−14.4759	+	2.12013i	−0.673478	+	0.0986375i
$463$	22.0164	−	5.02510i	1.02319	−	0.233536i	0.322172	−	0.946681i	$-0.395587\pi$
$463$	22.0164	−	5.02510i	1.02319	−	0.233536i	0.701017	+	0.713145i	$0.252730\pi$
$464$	−0.918199	−	4.02289i	−0.0426263	−	0.186758i
$465$	−3.12044	−	9.27698i	−0.144707	−	0.430210i
$466$	7.30434	+	9.15935i	0.338367	+	0.424299i
$467$	−31.6627	+	7.22681i	−1.46518	+	0.334417i	−0.879411	−	0.476064i	$-0.842063\pi$
$467$	−31.6627	+	7.22681i	−1.46518	+	0.334417i	−0.585765	+	0.810481i	$0.699206\pi$
$468$	0.504012	−	0.115037i	0.0232980	−	0.00531761i
$469$	26.1210	−	10.1261i	1.20616	−	0.467581i
$470$	−12.7234	−	8.21149i	−0.586889	−	0.378768i
$471$	0.418368			0.0192774
$472$			1.06674i			0.0491007i
$473$	17.5341	+	4.00205i	0.806220	+	0.184015i
$474$	−1.14197	+	0.549944i	−0.0524524	+	0.0252597i
$475$	−0.664707	+	27.4081i	−0.0304989	+	1.25757i
$476$	−0.206523	+	0.0800613i	−0.00946598	+	0.00366961i
$477$	1.47173	+	1.17367i	0.0673860	+	0.0537386i
$478$	18.6672	+	4.26067i	0.853819	+	0.194879i
$479$	12.2007	−	15.2993i	0.557466	−	0.699041i	−0.420621	−	0.907237i	$-0.638188\pi$
$479$	12.2007	−	15.2993i	0.557466	−	0.699041i	0.978087	+	0.208196i	$0.0667592\pi$
$480$	0.368194	+	3.66685i	0.0168057	+	0.167368i
$481$	−2.86181	−	3.58860i	−0.130487	−	0.163626i
$482$	−7.08290	+	14.7078i	−0.322617	+	0.669921i
$483$	1.63211	−	0.239040i	0.0742638	−	0.0108767i
$484$	0.231828	−	0.111643i	0.0105376	−	0.00507466i
$485$	15.9709	+	16.3629i	0.725201	+	0.743002i
$486$	−0.653854	−	2.86472i	−0.0296594	−	0.129946i
$487$	1.70532	−	3.54114i	0.0772756	−	0.160464i	−0.858752	−	0.512392i	$-0.828759\pi$
$487$	1.70532	−	3.54114i	0.0772756	−	0.160464i	0.936027	+	0.351928i	$0.114474\pi$
$488$	10.4673	+	8.34742i	0.473834	+	0.377870i
$489$	−2.96599			−0.134127
$490$	10.4506	−	11.6527i	0.472111	−	0.526413i
$491$	−33.8477			−1.52752			−0.763762	−	0.645498i	$-0.776650\pi$
$491$	−33.8477			−1.52752			−0.763762	+	0.645498i	$0.776650\pi$
$492$	−11.5116	−	9.18019i	−0.518983	−	0.413875i
$493$	−0.149886	+	0.311242i	−0.00675054	+	0.0140176i
$494$	2.22316	+	9.74030i	0.100025	+	0.438237i
$495$	−1.52333	+	1.48684i	−0.0684687	+	0.0668283i
$496$	−2.39287	+	1.15235i	−0.107443	+	0.0517419i
$497$	−29.5248	+	19.9497i	−1.32437	+	0.894866i
$498$	10.9277	−	22.6915i	0.489681	−	1.01683i
$499$	8.94479	+	11.2164i	0.400424	+	0.502115i	0.940638	−	0.339412i	$-0.110228\pi$
$499$	8.94479	+	11.2164i	0.400424	+	0.502115i	−0.540214	+	0.841528i	$0.681657\pi$
$500$	−6.28860	+	9.24410i	−0.281235	+	0.413409i
$501$	19.7053	−	24.7097i	0.880369	−	1.10395i
$502$	10.7136	+	2.44531i	0.478172	+	0.109140i
$503$	20.9494	+	16.7066i	0.934090	+	0.744912i	0.967061	−	0.254545i	$-0.0819256\pi$
$503$	20.9494	+	16.7066i	0.934090	+	0.744912i	−0.0329713	+	0.999456i	$0.510497\pi$
$504$	−0.420281	−	0.622000i	−0.0187208	−	0.0277061i
$505$	−15.2130	+	5.11711i	−0.676970	+	0.227708i
$506$	−1.14354	+	0.550699i	−0.0508365	+	0.0244816i
$507$	15.5539	+	3.55007i	0.690772	+	0.157664i
$508$			14.8689i			0.659703i
$509$	9.79377			0.434101			0.217051	−	0.976160i	$-0.430356\pi$
$509$	9.79377			0.434101			0.217051	+	0.976160i	$0.430356\pi$
$510$	0.167302	−	0.259228i	0.00740824	−	0.0114788i
$511$	−8.36399	−	4.87561i	−0.370001	−	0.215684i
$512$	0.974928	−	0.222521i	0.0430861	−	0.00983413i
$513$	28.9310	−	6.60331i	1.27733	−	0.291543i
$514$	18.6799	+	23.4238i	0.823935	+	1.03318i
$515$	−10.8432	−	32.2366i	−0.477810	−	1.42051i
$516$	−1.96586	−	8.61298i	−0.0865420	−	0.379165i
$517$	22.1524	−	5.05614i	0.974261	−	0.222369i
$518$	−3.35654	+	5.75807i	−0.147478	+	0.252995i
$519$	−6.41334	+	28.0987i	−0.281515	+	1.23340i
$520$	−1.39216	+	3.82902i	−0.0610504	+	0.167914i
$521$	36.2197			1.58681			0.793407	−	0.608692i	$-0.208305\pi$
$521$	36.2197			1.58681			0.793407	+	0.608692i	$0.208305\pi$
$522$	−1.14142	−	0.260521i	−0.0499585	−	0.0114027i
$523$	−13.3994	−	27.8241i	−0.585913	−	1.21666i	−0.957546	−	0.288282i	$-0.906916\pi$
$523$	−13.3994	−	27.8241i	−0.585913	−	1.21666i	0.371632	−	0.928380i	$-0.378798\pi$
$524$	8.84639	+	11.0930i	0.386456	+	0.484601i
$525$	−2.24647	+	21.6864i	−0.0980442	+	0.946473i
$526$	−6.18488	+	7.75559i	−0.269674	+	0.338160i
$527$	0.216773	+	0.0494770i	0.00944278	+	0.00215525i
$528$	−4.32332	−	3.44773i	−0.188148	−	0.150043i
$529$	−20.5934	+	9.91724i	−0.895363	+	0.431184i
$530$	−14.0611	+	4.72965i	−0.610776	+	0.205443i
$531$	0.272693	+	0.131322i	0.0118339	+	0.00569890i
$532$	12.0205	−	8.12215i	0.521154	−	0.352140i
$533$	−7.06272	−	14.6659i	−0.305920	−	0.635250i
$534$	−12.6871	−	6.10978i	−0.549024	−	0.264396i
$535$	4.59057	−	36.7339i	0.198467	−	1.58815i
$536$	9.54009	+	4.59427i	0.412069	+	0.198442i
$537$	−22.9113	−	18.2711i	−0.988695	−	0.788458i
$538$		−	26.5411i		−	1.14427i
$539$	1.55958	+	23.4345i	0.0671760	+	1.00940i
$540$	11.3731	+	4.13505i	0.489420	+	0.177944i
$541$	9.08572	−	11.3931i	0.390626	−	0.489829i	−0.547168	−	0.837023i	$-0.684294\pi$
$541$	9.08572	−	11.3931i	0.390626	−	0.489829i	0.937793	+	0.347194i	$0.112865\pi$
$542$	3.80052	−	7.89187i	0.163246	−	0.338985i
$543$	2.10246	−	0.479873i	0.0902253	−	0.0205933i
$544$	−0.0754279	−	0.0363242i	−0.00323394	−	0.00155739i
$545$	2.60844	+	25.9775i	0.111733	+	1.11276i
$546$	1.15135	+	7.86121i	0.0492734	+	0.336429i
$547$	−4.29226	+	8.91297i	−0.183524	+	0.381091i	−0.972351	−	0.233524i	$-0.924974\pi$
$547$	−4.29226	+	8.91297i	−0.183524	+	0.381091i	0.788827	+	0.614615i	$0.210689\pi$
$548$	12.1110	−	9.65822i	0.517357	−	0.412579i
$549$	3.42246	−	1.64817i	0.146067	−	0.0703421i
$550$	−3.33537	−	16.4410i	−0.142221	−	0.701049i
$551$	5.03471	−	22.0585i	0.214486	−	0.939723i
$552$	0.487443	+	0.388722i	0.0207469	+	0.0165451i
$553$	0.735460	+	1.89717i	0.0312749	+	0.0806757i
$554$	9.07452	+	11.3791i	0.385539	+	0.483451i
$555$	−0.927524	−	9.23723i	−0.0393712	−	0.392099i
$556$	−3.31970	+	14.5446i	−0.140787	+	0.616827i
$557$			15.3085i			0.648644i	0.945947	+	0.324322i	$0.105136\pi$
$557$			15.3085i			0.648644i	−0.945947	+	0.324322i	$0.894864\pi$
$558$			0.753556i			0.0319006i
$559$	2.17334	−	9.52204i	0.0919226	−	0.402739i
$560$	5.91476	−	0.124836i	0.249944	−	0.00527526i
$561$	0.103014	+	0.451335i	0.00434926	+	0.0190554i
$562$	−13.8284	+	3.15625i	−0.583317	+	0.133138i
$563$	22.4321	−	17.8890i	0.945402	−	0.753933i	−0.0239238	−	0.999714i	$-0.507616\pi$
$563$	22.4321	−	17.8890i	0.945402	−	0.753933i	0.969325	+	0.245781i	$0.0790445\pi$
$564$	−6.95900	−	8.72631i	−0.293027	−	0.367444i
$565$	1.06781	−	8.54465i	0.0449230	−	0.359476i
$566$	−4.68750	−	20.5373i	−0.197030	−	0.863246i
$567$	21.1214	−	3.09344i	0.887015	−	0.129912i
$568$	−13.1303	−	2.99691i	−0.550936	−	0.125747i
$569$	−4.41881			−0.185246			−0.0926230	−	0.995701i	$-0.529525\pi$
$569$	−4.41881			−0.185246			−0.0926230	+	0.995701i	$0.529525\pi$
$570$	−6.90479	+	18.9910i	−0.289210	+	0.795447i
$571$	−8.41894	+	36.8858i	−0.352322	+	1.54362i	0.419483	+	0.907763i	$0.362211\pi$
$571$	−8.41894	+	36.8858i	−0.352322	+	1.54362i	−0.771805	+	0.635859i	$0.780646\pi$
$572$	−2.65249	−	5.50795i	−0.110906	−	0.230299i
$573$	6.34918	−	5.06330i	0.265241	−	0.211522i
$574$	−16.1491	+	17.2596i	−0.674052	+	0.720401i
$575$	0.376054	+	1.85369i	0.0156825	+	0.0773040i
$576$	0.0631359	−	0.276617i	0.00263066	−	0.0115257i
$577$	−0.0354500	−	0.0282704i	−0.00147580	−	0.00117691i	0.622752	−	0.782420i	$-0.286015\pi$
$577$	−0.0354500	−	0.0282704i	−0.00147580	−	0.00117691i	−0.624227	+	0.781243i	$0.714586\pi$
$578$	−7.37298	−	15.3102i	−0.306676	−	0.636819i
$579$	12.2348	+	15.3419i	0.508461	+	0.637590i
$580$	6.60295	−	6.44476i	0.274173	−	0.267604i
$581$	−34.9298	−	20.3616i	−1.44913	−	0.844740i
$582$	7.31222	+	15.1840i	0.303101	+	0.629396i
$583$	9.65830	−	20.0557i	0.400006	−	0.830621i
$584$	−0.814248	−	3.56745i	−0.0336938	−	0.147622i
$585$	0.807437	+	0.827257i	0.0333834	+	0.0342029i
$586$	11.5078	−	14.4304i	0.475384	−	0.596113i
$587$		−	2.79166i		−	0.115224i	−0.998339	−	0.0576121i	$-0.981651\pi$
$587$		−	2.79166i		−	0.115224i	0.998339	−	0.0576121i	$-0.0183487\pi$
$588$	10.0389	−	5.68479i	0.413999	−	0.234437i
$589$	−14.5629			−0.600053
$590$	−2.03493	+	1.24448i	−0.0837769	+	0.0512344i
$591$	8.44485	+	4.06682i	0.347375	+	0.167287i
$592$	−2.45596	+	0.560557i	−0.100939	+	0.0230387i
$593$	−0.837253	+	1.73857i	−0.0343819	+	0.0713947i	−0.917452	−	0.397846i	$-0.869758\pi$
$593$	−0.837253	+	1.73857i	−0.0343819	+	0.0713947i	0.883070	+	0.469240i	$0.155472\pi$
$594$	−16.3599	+	7.87852i	−0.671255	+	0.323260i
$595$	−0.393660	−	0.300566i	−0.0161385	−	0.0123220i
$596$	0.861567	+	0.414909i	0.0352911	+	0.0169953i
$597$	6.41984	−	5.11966i	0.262747	−	0.209534i
$598$	0.299061	+	0.621007i	0.0122295	+	0.0253949i
$599$	15.0866	−	18.9179i	0.616420	−	0.772966i	−0.371416	−	0.928467i	$-0.621128\pi$
$599$	15.0866	−	18.9179i	0.616420	−	0.772966i	0.987836	+	0.155500i	$0.0496990\pi$
$600$	−6.56540	+	4.98019i	−0.268031	+	0.203315i
$601$	−28.9327	+	36.2804i	−1.18019	+	1.47991i	−0.337652	+	0.941271i	$0.609633\pi$
$601$	−28.9327	+	36.2804i	−1.18019	+	1.47991i	−0.842536	+	0.538639i	$0.818939\pi$
$602$	−14.0325	+	2.05520i	−0.571922	+	0.0837637i
$603$	2.34888	−	1.87317i	0.0956539	−	0.0762815i
$604$	2.72620	−	1.31287i	0.110927	−	0.0534198i
$605$	0.483426	+	0.311995i	0.0196541	+	0.0126844i
$606$	−11.8302			−0.480569
$607$		−	11.3723i		−	0.461587i	−0.973003	−	0.230793i	$-0.925868\pi$
$607$		−	11.3723i		−	0.461587i	0.973003	−	0.230793i	$-0.0741321\pi$
$608$	5.34576	+	1.22014i	0.216799	+	0.0494830i
$609$	5.37522	−	17.1713i	0.217815	−	0.695815i
$610$	−3.71229	+	29.7059i	−0.150306	+	1.20276i
$611$	−2.74577	−	12.0300i	−0.111082	−	0.486682i
$612$	−0.0185712	+	0.0148101i	−0.000750698	+	0.000598662i
$613$	−27.2431	+	21.7256i	−1.10034	+	0.877491i	−0.993161	−	0.116749i	$-0.962753\pi$
$613$	−27.2431	+	21.7256i	−1.10034	+	0.877491i	−0.107177	+	0.994240i	$0.534181\pi$
$614$	−0.776607	−	3.40254i	−0.0313413	−	0.137315i
$615$	4.08264	−	32.6695i	0.164628	−	1.31736i
$616$	−6.06500	+	6.48205i	−0.244366	+	0.261169i
$617$	−41.1708	−	9.39697i	−1.65748	−	0.378308i	−0.711536	−	0.702650i	$-0.752000\pi$
$617$	−41.1708	−	9.39697i	−1.65748	−	0.378308i	−0.945940	+	0.324342i	$0.894857\pi$
$618$		−	25.0683i		−	1.00840i
$619$	−13.0849			−0.525926			−0.262963	−	0.964806i	$-0.584700\pi$
$619$	−13.0849			−0.525926			−0.262963	+	0.964806i	$0.584700\pi$
$620$	−4.98981	−	3.22034i	−0.200396	−	0.129332i
$621$	1.84454	−	0.888283i	0.0740187	−	0.0356455i
$622$	15.5753	−	12.4209i	0.624513	−	0.498033i
$623$	−11.3844	+	19.5296i	−0.456105	+	0.782438i
$624$	−1.87231	+	2.34781i	−0.0749525	+	0.0939875i
$625$	−24.9706	−	1.21190i	−0.998824	−	0.0484759i
$626$	8.51900	−	10.6825i	0.340488	−	0.426958i
$627$	−13.1557	−	27.3181i	−0.525388	−	1.09098i
$628$	0.198466	−	0.158271i	0.00791964	−	0.00631570i
$629$	0.190012	+	0.0915049i	0.00757627	+	0.00364854i
$630$	0.696230	−	1.52737i	0.0277385	−	0.0608519i
$631$	−38.6913	+	18.6327i	−1.54027	+	0.741757i	−0.995313	−	0.0967036i	$-0.969170\pi$
$631$	−38.6913	+	18.6327i	−1.54027	+	0.741757i	−0.544962	+	0.838461i	$0.683456\pi$
$632$	−0.333681	+	0.692896i	−0.0132731	+	0.0275619i
$633$	43.0456	−	9.82489i	1.71091	−	0.390504i
$634$	−11.9266	−	5.74354i	−0.473665	−	0.228105i
$635$	−28.3642	+	17.3464i	−1.12560	+	0.688371i
$636$	−10.9344			−0.433579
$637$	12.7263	−	0.846942i	0.504233	−	0.0335571i
$638$			13.8447i			0.548117i
$639$	−2.38253	+	2.98759i	−0.0942512	+	0.118187i
$640$	1.56185	+	1.60019i	0.0617377	+	0.0632531i
$641$	−4.35481	−	19.0797i	−0.172005	−	0.753602i	−0.985172	−	0.171572i	$-0.945116\pi$
$641$	−4.35481	−	19.0797i	−0.172005	−	0.753602i	0.813167	−	0.582031i	$-0.197742\pi$
$642$	11.8388	−	24.5835i	0.467240	−	0.970233i
$643$	7.54522	+	15.6678i	0.297554	+	0.617878i	0.995123	−	0.0986398i	$-0.0314492\pi$
$643$	7.54522	+	15.6678i	0.297554	+	0.617878i	−0.697569	+	0.716518i	$0.745735\pi$
$644$	0.683813	−	0.730834i	0.0269460	−	0.0287989i
$645$	14.1369	−	13.7982i	0.556638	−	0.543302i
$646$	−0.286213	−	0.358899i	−0.0112609	−	0.0141207i
$647$	−3.72858	−	7.74247i	−0.146586	−	0.304388i	0.814729	−	0.579843i	$-0.196886\pi$
$647$	−3.72858	−	7.74247i	−0.146586	−	0.304388i	−0.961314	+	0.275454i	$0.911172\pi$
$648$	6.30806	+	5.03051i	0.247804	+	0.197617i
$649$	0.796429	−	3.48938i	0.0312626	−	0.136970i
$650$	−8.92843	+	1.81130i	−0.350202	+	0.0710448i
$651$	−11.5449	−	0.913640i	−0.452480	−	0.0358084i
$652$	−1.40701	+	1.12205i	−0.0551027	+	0.0439429i
$653$	−14.3940	−	29.8895i	−0.563281	−	1.16967i	−0.966999	−	0.254782i	$-0.917996\pi$
$653$	−14.3940	−	29.8895i	−0.563281	−	1.16967i	0.403717	−	0.914884i	$-0.367718\pi$
$654$	−4.28202	+	18.7608i	−0.167440	+	0.733603i
$655$	−10.8409	+	29.8169i	−0.423588	+	1.16504i
$656$	−8.93379			−0.348806
$657$	−1.01219	−	0.231027i	−0.0394895	−	0.00901321i
$658$	−14.8462	+	10.0315i	−0.578766	+	0.391067i
$659$	6.64238	+	29.1022i	0.258750	+	1.13366i	0.922589	+	0.385783i	$0.126069\pi$
$659$	6.64238	+	29.1022i	0.258750	+	1.13366i	−0.663839	+	0.747875i	$0.731074\pi$
$660$	1.53328	−	12.2694i	0.0596830	−	0.477586i
$661$	23.6852	+	29.7003i	0.921247	+	1.15521i	0.987534	+	0.157407i	$0.0503135\pi$
$661$	23.6852	+	29.7003i	0.921247	+	1.15521i	−0.0662864	+	0.997801i	$0.521115\pi$
$662$	−16.1572	+	12.8849i	−0.627966	+	0.500786i
$663$	0.245100	−	0.0559426i	0.00951891	−	0.00217263i
$664$	−3.40047	−	14.8984i	−0.131964	−	0.578171i
$665$	29.5173	+	13.4550i	1.14463	+	0.521763i
$666$	−0.159047	+	0.696830i	−0.00616294	+	0.0270016i
$667$		−	1.56095i		−	0.0604404i
$668$		−	19.1764i		−	0.741958i
$669$	−3.18886	+	13.9713i	−0.123289	+	0.540163i
$670$	2.36555	+	23.5586i	0.0913893	+	0.910148i
$671$	−28.0072	−	35.1199i	−1.08121	−	1.35579i
$672$	4.16137	+	1.30266i	0.160528	+	0.0502511i
$673$	10.2652	+	8.18620i	0.395693	+	0.315555i	0.801043	−	0.598607i	$-0.204279\pi$
$673$	10.2652	+	8.18620i	0.395693	+	0.315555i	−0.405350	+	0.914162i	$0.632850\pi$
$674$	5.96894	−	26.1516i	0.229915	−	1.00732i
$675$	5.37998	+	26.5195i	0.207075	+	1.02074i
$676$	8.72146	−	4.20004i	0.335441	−	0.161540i
$677$	−6.99064	+	5.57485i	−0.268672	+	0.214259i	−0.748553	−	0.663075i	$-0.769251\pi$
$677$	−6.99064	+	5.57485i	−0.268672	+	0.214259i	0.479881	+	0.877333i	$0.340680\pi$
$678$	2.75381	−	5.71834i	0.105759	−	0.219612i
$679$	25.2253	−	9.77889i	0.968057	−	0.375280i
$680$	−0.0187030	−	0.186264i	−0.000717229	−	0.00714290i
$681$	10.0733	+	4.85104i	0.386009	+	0.185892i
$682$	8.68760	−	1.98289i	0.332666	−	0.0759287i
$683$	−6.54103	+	13.5826i	−0.250286	+	0.519723i	−0.987823	−	0.155583i	$-0.950274\pi$
$683$	−6.54103	+	13.5826i	−0.250286	+	0.519723i	0.737537	+	0.675306i	$0.235989\pi$
$684$	0.970001	−	1.21634i	0.0370889	−	0.0465080i
$685$	32.5531	+	11.8357i	1.24379	+	0.452220i
$686$	−7.82609	−	16.7855i	−0.298802	−	0.640873i
$687$			11.9212i			0.454821i
$688$	−4.19090	−	3.34213i	−0.159777	−	0.127418i
$689$	−10.8914	−	5.24501i	−0.414928	−	0.199819i
$690$	−0.172874	+	1.38334i	−0.00658119	+	0.0526630i
$691$	−39.2189	−	18.8868i	−1.49196	−	0.718489i	−0.502672	−	0.864477i	$-0.667650\pi$
$691$	−39.2189	−	18.8868i	−1.49196	−	0.718489i	−0.989286	+	0.145988i	$0.953364\pi$
$692$	7.58753	+	15.7557i	0.288435	+	0.598941i
$693$	0.910382	+	2.34839i	0.0345825	+	0.0892079i
$694$	5.34512	+	2.57408i	0.202898	+	0.0977106i
$695$	−31.6183	+	10.6352i	−1.19935	+	0.403418i
$696$	6.12720	−	2.95071i	0.232251	−	0.111846i
$697$	0.584751	+	0.466324i	0.0221490	+	0.0176633i
$698$	−7.55692	−	1.72482i	−0.286034	−	0.0652853i
$699$	−12.0384	+	15.0956i	−0.455333	+	0.570969i
$700$	7.13841	+	11.1375i	0.269807	+	0.420957i
$701$	15.7854	+	19.7943i	0.596207	+	0.747620i	0.984781	−	0.173797i	$-0.0556037\pi$
$701$	15.7854	+	19.7943i	0.596207	+	0.747620i	−0.388574	+	0.921417i	$0.627032\pi$
$702$	4.27849	+	8.88437i	0.161481	+	0.335319i
$703$	−13.4666	−	3.07367i	−0.507903	−	0.115926i
$704$	−3.35519			−0.126454
$705$	8.52795	−	23.4554i	0.321181	−	0.883380i
$706$	1.13629	−	4.97843i	0.0427650	−	0.187366i
$707$	−1.49825	+	18.9321i	−0.0563474	+	0.712014i
$708$	−1.71403	+	0.391216i	−0.0644171	+	0.0147028i
$709$	7.29072	+	31.9428i	0.273809	+	1.19964i	0.905477	+	0.424396i	$0.139514\pi$
$709$	7.29072	+	31.9428i	0.273809	+	1.19964i	−0.631668	+	0.775239i	$0.717629\pi$
$710$	−9.60112	−	28.5438i	−0.360323	−	1.07123i
$711$	0.136048	+	0.170599i	0.00510221	+	0.00639797i
$712$	−8.32987	+	1.90124i	−0.312175	+	0.0712520i
$713$	−0.979505	+	0.223566i	−0.0366827	+	0.00837260i
$714$	−0.204382	−	0.302478i	−0.00764880	−	0.0113199i
$715$	7.41261	−	11.4856i	0.277216	−	0.429537i
$716$	−17.7807			−0.664497
$717$			31.5568i			1.17851i
$718$	−21.4719	−	4.90083i	−0.801326	−	0.182897i
$719$	−15.6419	+	7.53276i	−0.583346	+	0.280925i	−0.702191	−	0.711988i	$-0.747795\pi$
$719$	−15.6419	+	7.53276i	−0.583346	+	0.280925i	0.118846	+	0.992913i	$0.462081\pi$
$720$	0.601334	−	0.202267i	0.0224104	−	0.00753804i
$721$	−40.1174	−	3.17481i	−1.49405	−	0.118236i
$722$	8.65166	+	6.89947i	0.321981	+	0.256772i
$723$	−26.2299	−	5.98680i	−0.975500	−	0.222652i
$724$	0.815828	−	1.02302i	0.0303200	−	0.0380201i
$725$	19.9973	+	5.07732i	0.742679	+	0.188567i
$726$	0.264407	+	0.331555i	0.00981305	+	0.0123052i
$727$	7.78814	−	16.1722i	0.288846	−	0.599795i	−0.705169	−	0.709039i	$-0.749129\pi$
$727$	7.78814	−	16.1722i	0.288846	−	0.599795i	0.994015	+	0.109244i	$0.0348431\pi$
$728$	3.52012	+	3.29364i	0.130464	+	0.122070i
$729$	26.1711	−	12.6033i	0.969299	−	0.466790i
$730$	5.85541	−	5.71513i	0.216719	−	0.211526i
$731$	0.0998591	+	0.437511i	0.00369342	+	0.0161819i
$732$	−9.57376	+	19.8801i	−0.353856	+	0.734790i
$733$	−5.77446	−	4.60498i	−0.213285	−	0.170089i	0.511020	−	0.859569i	$-0.329268\pi$
$733$	−5.77446	−	4.60498i	−0.213285	−	0.170089i	−0.724305	+	0.689480i	$0.757839\pi$
$734$	17.7343			0.654585
$735$	22.5560	+	12.5185i	0.831991	+	0.461751i
$736$	0.378289			0.0139439
$737$	−27.7762	−	22.1508i	−1.02315	−	0.815935i
$738$	−1.09980	+	2.28376i	−0.0404843	+	0.0840665i
$739$	−1.75366	−	7.68328i	−0.0645094	−	0.282634i	0.932377	−	0.361488i	$-0.117731\pi$
$739$	−1.75366	−	7.68328i	−0.0645094	−	0.282634i	−0.996886	+	0.0788538i	$0.974874\pi$
$740$	−3.93450	−	4.03107i	−0.144635	−	0.148185i
$741$	−14.8353	+	7.14430i	−0.544988	+	0.262452i
$742$	−1.38480	+	17.4986i	−0.0508378	+	0.642394i
$743$	−8.48858	+	17.6267i	−0.311416	+	0.646661i	−0.996661	−	0.0816510i	$-0.973981\pi$
$743$	−8.48858	+	17.6267i	−0.311416	+	0.646661i	0.685245	+	0.728312i	$0.259695\pi$
$744$	−2.72914	−	3.42223i	−0.100055	−	0.125465i
$745$	0.213633	+	2.12758i	0.00782692	+	0.0779485i
$746$	16.3527	−	20.5056i	0.598714	−	0.750764i
$747$	−4.22713	−	0.964816i	−0.154663	−	0.0353008i
$748$	0.219610	+	0.175133i	0.00802975	+	0.00640351i
$749$	−37.8421	−	22.0593i	−1.38272	−	0.806028i
$750$	−17.1596	−	6.71429i	−0.626580	−	0.245171i
$751$	−20.9992	+	10.1127i	−0.766272	+	0.369017i	−0.775834	−	0.630937i	$-0.782670\pi$
$751$	−20.9992	+	10.1127i	−0.766272	+	0.369017i	0.00956224	+	0.999954i	$0.496956\pi$
$752$	−6.60242	−	1.50696i	−0.240766	−	0.0549532i
$753$			18.1113i			0.660012i
$754$	7.51846			0.273806
$755$	5.68488	+	3.66892i	0.206894	+	0.133526i
$756$	9.78290	−	10.4556i	0.355801	−	0.380266i
$757$	−31.0656	+	7.09052i	−1.12910	+	0.257709i	−0.745966	−	0.665984i	$-0.768012\pi$
$757$	−31.0656	+	7.09052i	−1.12910	+	0.257709i	−0.383133	+	0.923693i	$0.625155\pi$
$758$	−9.93880	+	2.26847i	−0.360993	+	0.0823944i
$759$	−1.30424	−	1.63546i	−0.0473408	−	0.0593635i
$760$	3.90892	+	11.6211i	0.141791	+	0.421541i
$761$	−2.19411	−	9.61303i	−0.0795365	−	0.348472i	0.919464	−	0.393175i	$-0.128623\pi$
$761$	−2.19411	−	9.61303i	−0.0795365	−	0.348472i	−0.999000	+	0.0447024i	$0.985766\pi$
$762$	−23.8913	+	5.45303i	−0.865489	+	0.197542i
$763$	29.4809	+	9.22858i	1.06728	+	0.334097i
$764$	1.09645	−	4.80386i	0.0396682	−	0.173798i
$765$	−0.0499175	−	0.0181491i	−0.00180477	−	0.000656182i
$766$	31.8572			1.15105
$767$	−1.89494	−	0.432507i	−0.0684221	−	0.0156169i
$768$	0.715089	+	1.48490i	0.0258035	+	0.0535816i
$769$	7.93154	+	9.94584i	0.286019	+	0.358656i	0.903997	−	0.427539i	$-0.140619\pi$
$769$	7.93154	+	9.94584i	0.286019	+	0.358656i	−0.617978	+	0.786195i	$0.712048\pi$
$770$	−19.4408	−	4.00762i	−0.700598	−	0.144425i
$771$	−30.7865	+	38.6051i	−1.10875	+	1.39033i
$772$	11.6079	+	2.64943i	0.417777	+	0.0953549i
$773$	26.1105	+	20.8224i	0.939128	+	0.748930i	0.968077	−	0.250651i	$-0.0806448\pi$
$773$	26.1105	+	20.8224i	0.939128	+	0.748930i	−0.0289495	+	0.999581i	$0.509216\pi$
$774$	−1.37028	+	0.659893i	−0.0492538	+	0.0237194i
$775$	0.321961	−	13.2755i	0.0115652	−	0.476872i
$776$	9.21296	+	4.43673i	0.330726	+	0.159269i
$777$	−10.4830	−	3.28155i	−0.376075	−	0.117725i
$778$	6.75588	+	14.0287i	0.242210	+	0.502954i
$779$	−44.1349	−	21.2543i	−1.58130	−	0.761513i
$780$	−6.66299	−	0.832661i	−0.238573	−	0.0298140i
$781$	40.7127	+	19.6062i	1.45681	+	0.701565i
$782$	−0.0247605	−	0.0197458i	−0.000885433	−	0.000706110i
$783$		−	22.3316i		−	0.798067i
$784$	2.61169	−	6.49454i	0.0932746	−	0.231948i
$785$	0.533454	+	0.193954i	0.0190398	+	0.00692252i
$786$	−14.5798	+	18.2825i	−0.520046	+	0.652116i
$787$	−15.6536	+	32.5050i	−0.557989	+	1.15868i	0.411014	+	0.911629i	$0.365175\pi$
$787$	−15.6536	+	32.5050i	−0.557989	+	1.15868i	−0.969003	+	0.247048i	$0.920539\pi$
$788$	5.54457	−	1.26551i	0.197517	−	0.0450820i
$789$	−14.7298	−	7.09352i	−0.524396	−	0.252536i
$790$	−1.71106	+	0.171810i	−0.0608767	+	0.00611272i
$791$	−8.80242	−	5.13118i	−0.312978	−	0.182444i
$792$	−0.413044	+	0.857695i	−0.0146769	+	0.0304769i
$793$	−19.0721	+	15.2095i	−0.677271	+	0.540105i
$794$	−11.3576	+	5.46956i	−0.403068	+	0.194107i
$795$	−12.7563	−	20.8587i	−0.452420	−	0.739783i
$796$	1.10865	−	4.85733i	0.0392952	−	0.172163i
$797$	42.3896	+	33.8046i	1.50152	+	1.19742i	0.924788	+	0.380483i	$0.124242\pi$
$797$	42.3896	+	33.8046i	1.50152	+	1.19742i	0.576728	+	0.816936i	$0.304329\pi$
$798$	17.4590	+	16.3357i	0.618040	+	0.578277i
$799$	0.353494	+	0.443268i	0.0125057	+	0.0156817i
$800$	−1.23046	+	4.84623i	−0.0435035	+	0.171340i
$801$	−0.539439	+	2.36344i	−0.0190601	+	0.0835079i
$802$			34.9196i			1.23305i
$803$			12.2773i			0.433257i
$804$	−3.88329	+	17.0138i	−0.136953	+	0.600031i
$805$	2.19190	+	0.451848i	0.0772543	+	0.0159256i
$806$	−1.07682	−	4.71786i	−0.0379294	−	0.166180i
$807$	42.6460	−	9.73367i	1.50121	−	0.342642i
$808$	−5.61201	+	4.47543i	−0.197430	+	0.157445i
$809$	−30.7181	−	38.5193i	−1.07999	−	1.35427i	−0.930829	−	0.365455i	$-0.880914\pi$
$809$	−30.7181	−	38.5193i	−1.07999	−	1.35427i	−0.149163	−	0.988813i	$-0.547658\pi$
$810$	−2.23718	+	17.9020i	−0.0786065	+	0.629013i
$811$	−11.0849	−	48.5663i	−0.389245	−	1.70539i	−0.667267	−	0.744818i	$-0.732536\pi$
$811$	−11.0849	−	48.5663i	−0.389245	−	1.70539i	0.278022	−	0.960575i	$-0.410321\pi$
$812$	−3.94609	−	10.1792i	−0.138481	−	0.357219i
$813$	14.0744	+	3.21238i	0.493610	+	0.112663i
$814$	8.45213			0.296247
$815$	−3.78188	−	1.37502i	−0.132474	−	0.0481650i
$816$	0.0307029	−	0.134518i	0.00107482	−	0.00470908i
$817$	−12.7528	−	26.4814i	−0.446163	−	0.926468i
$818$	15.3670	−	12.2548i	0.537295	−	0.428478i
$819$	1.27531	−	0.494389i	0.0445629	−	0.0172754i
$820$	−10.4223	−	17.0422i	−0.363963	−	0.595141i
$821$	−6.46174	+	28.3108i	−0.225516	+	0.988052i	0.727731	+	0.685862i	$0.240575\pi$
$821$	−6.46174	+	28.3108i	−0.225516	+	0.988052i	−0.953248	+	0.302190i	$0.902282\pi$
$822$	19.9603	+	15.9178i	0.696196	+	0.555198i
$823$	10.9718	+	22.7831i	0.382451	+	0.794168i	0.999971	+	0.00761285i	$0.00242327\pi$
$823$	10.9718	+	22.7831i	0.382451	+	0.794168i	−0.617520	+	0.786555i	$0.711862\pi$
$824$	−9.48350	−	11.8919i	−0.330373	−	0.414275i
$825$	25.1941	−	11.3888i	0.877146	−	0.396507i
$826$	0.408995	+	2.79254i	0.0142308	+	0.0971649i
$827$	−16.4852	−	34.2318i	−0.573245	−	1.19036i	−0.963016	−	0.269444i	$-0.913160\pi$
$827$	−16.4852	−	34.2318i	−0.573245	−	1.19036i	0.389771	−	0.920912i	$-0.372554\pi$
$828$	0.0465696	−	0.0967028i	0.00161841	−	0.00336066i
$829$	4.29518	+	18.8184i	0.149178	+	0.653591i	0.993114	+	0.117148i	$0.0373752\pi$
$829$	4.29518	+	18.8184i	0.149178	+	0.653591i	−0.843937	+	0.536443i	$0.819768\pi$
$830$	24.4534	−	23.8676i	0.848791	−	0.828455i
$831$	−14.9558	+	18.7540i	−0.518811	+	0.650569i
$832$			1.82206i			0.0631686i
$833$	−0.509946	+	0.288769i	−0.0176686	+	0.0100052i
$834$	−24.5875			−0.851396
$835$	36.5813	−	22.3716i	1.26595	−	0.774201i
$836$	−16.5754	−	7.98229i	−0.573272	−	0.276073i
$837$	−14.0132	+	3.19842i	−0.484366	+	0.110553i
$838$	3.03948	−	6.31155i	0.104997	−	0.218029i
$839$	−25.9498	+	12.4967i	−0.895885	+	0.431435i	−0.824401	−	0.566006i	$-0.808488\pi$
$839$	−25.9498	+	12.4967i	−0.895885	+	0.431435i	−0.0714840	+	0.997442i	$0.522773\pi$
$840$	2.36976	+	9.45800i	0.0817645	+	0.326332i
$841$	10.7875	+	5.19499i	0.371983	+	0.179138i
$842$	10.0675	−	8.02854i	0.346948	−	0.276682i
$843$	−10.1429	−	21.0619i	−0.349338	−	0.725409i
$844$	16.7032	−	20.9451i	0.574948	−	0.720962i
$845$	18.1867	+	11.7374i	0.625641	+	0.403778i
$846$	−1.19802	+	1.50228i	−0.0411889	+	0.0516493i
$847$	0.564081	−	0.381145i	0.0193821	−	0.0130963i
$848$	−5.18708	+	4.13656i	−0.178125	+	0.142050i
$849$	31.2800	−	15.0636i	1.07353	−	0.516983i
$850$	0.333501	−	0.252977i	0.0114390	−	0.00867705i
$851$	−0.952956			−0.0326669
$852$		−	22.1967i		−	0.760447i
$853$	−25.1030	−	5.72959i	−0.859509	−	0.196177i	−0.230019	−	0.973186i	$-0.573879\pi$
$853$	−25.1030	−	5.72959i	−0.859509	−	0.196177i	−0.629490	+	0.777009i	$0.716736\pi$
$854$	30.6021	+	17.8388i	1.04718	+	0.610432i
$855$	3.45194	+	0.431381i	0.118054	+	0.0147529i
$856$	−3.68399	−	16.1406i	−0.125916	−	0.551675i
$857$	−8.19020	+	6.53146i	−0.279772	+	0.223111i	−0.753315	−	0.657660i	$-0.771546\pi$
$857$	−8.19020	+	6.53146i	−0.279772	+	0.223111i	0.473543	+	0.880771i	$0.342975\pi$
$858$	7.87734	−	6.28197i	0.268928	−	0.214463i
$859$	8.28631	+	36.3047i	0.282725	+	1.23870i	0.894284	+	0.447501i	$0.147686\pi$
$859$	8.28631	+	36.3047i	0.282725	+	1.23870i	−0.611558	+	0.791199i	$0.709457\pi$
$860$	1.48632	−	11.8936i	0.0506832	−	0.405570i
$861$	−33.6551	−	19.6185i	−1.14696	−	0.668596i
$862$	33.3496	+	7.61183i	1.13589	+	0.259260i
$863$		−	15.8605i		−	0.539897i	−0.962875	−	0.269949i	$-0.912993\pi$
$863$		−	15.8605i		−	0.539897i	0.962875	−	0.269949i	$-0.0870067\pi$
$864$	5.41195			0.184118
$865$	−21.2040	+	32.8550i	−0.720958	+	1.11710i
$866$	15.0455	−	7.24552i	0.511266	−	0.246213i
$867$	21.8962	−	17.4617i	0.743635	−	0.593029i
$868$	−5.82231	+	3.93409i	−0.197622	+	0.133532i
$869$	1.60881	−	2.01738i	0.0545752	−	0.0684351i
$870$	12.7769	+	8.24601i	0.433178	+	0.279566i
$871$	−12.0291	+	15.0841i	−0.407592	+	0.511104i
$872$	5.06599	+	10.5196i	0.171556	+	0.356240i
$873$	2.26834	−	1.80894i	0.0767716	−	0.0612233i
$874$	1.86883	+	0.899983i	0.0632142	+	0.0304424i
$875$	−12.9182	+	26.6105i	−0.436715	+	0.899600i
$876$	5.43353	−	2.61665i	0.183582	−	0.0884084i
$877$	11.2989	−	23.4623i	0.381535	−	0.792266i	−0.618444	−	0.785829i	$-0.712237\pi$
$877$	11.2989	−	23.4623i	0.381535	−	0.792266i	0.999979	−	0.00643726i	$-0.00204906\pi$
$878$	−19.1581	+	4.37270i	−0.646553	+	0.147572i
$879$	27.4069	+	13.1985i	0.924413	+	0.445174i
$880$	−3.91423	−	6.40042i	−0.131949	−	0.215758i
$881$	27.8584			0.938574			0.469287	−	0.883046i	$-0.344511\pi$
$881$	27.8584			0.938574			0.469287	+	0.883046i	$0.344511\pi$
$882$	−1.33870	−	1.46715i	−0.0450764	−	0.0494014i
$883$		−	51.3409i		−	1.72776i	−0.503699	−	0.863879i	$-0.668028\pi$
$883$		−	51.3409i		−	1.72776i	0.503699	−	0.863879i	$-0.331972\pi$
$884$	0.0951074	−	0.119261i	0.00319881	−	0.00401118i
$885$	−2.74591	−	2.81331i	−0.0923027	−	0.0945683i
$886$	0.509234	+	2.23110i	0.0171080	+	0.0749552i
$887$	−7.75239	+	16.0980i	−0.260300	+	0.540518i	−0.989629	−	0.143645i	$-0.954118\pi$
$887$	−7.75239	+	16.0980i	−0.260300	+	0.540518i	0.729330	+	0.684162i	$0.239832\pi$
$888$	−1.80139	−	3.74063i	−0.0604508	−	0.125527i
$889$	5.70085	+	38.9243i	0.191200	+	1.30548i
$890$	−13.3446	−	13.6722i	−0.447313	−	0.458293i
$891$	−16.8783	−	21.1647i	−0.565445	−	0.709045i
$892$	3.77270	+	7.83409i	0.126319	+	0.262305i
$893$	−29.0323	−	23.1525i	−0.971528	−	0.774768i
$894$	−0.350701	+	1.53652i	−0.0117292	+	0.0513889i
$895$	−20.7433	−	33.9188i	−0.693373	−	1.13378i
$896$	2.46687	−	0.956314i	0.0824124	−	0.0319482i
$897$	−0.888150	+	0.708276i	−0.0296545	+	0.0236486i
$898$	9.95954	+	20.6812i	0.332354	+	0.690140i
$899$	−2.43864	+	10.6844i	−0.0813331	+	0.356344i
$900$	1.08738	+	0.911146i	0.0362458	+	0.0303715i
$901$	0.555434			0.0185042
$902$	29.2230	+	6.66997i	0.973021	+	0.222086i
$903$	−8.44854	−	21.7935i	−0.281150	−	0.725244i
$904$	−0.856929	−	3.75445i	−0.0285010	−	0.124871i
$905$	2.90328	+	0.362817i	0.0965084	+	0.0120605i
$906$	3.10930	+	3.89895i	0.103300	+	0.129534i
$907$	26.1473	−	20.8518i	0.868206	−	0.692371i	−0.0844478	−	0.996428i	$-0.526913\pi$
$907$	26.1473	−	20.8518i	0.868206	−	0.692371i	0.952654	+	0.304057i	$0.0983412\pi$
$908$	6.61375	−	1.50954i	0.219485	−	0.0500960i
$909$	0.453191	+	1.98556i	0.0150314	+	0.0658569i
$910$	−2.17637	+	10.5575i	−0.0721458	+	0.349977i
$911$	5.00224	−	21.9163i	0.165732	−	0.726118i	−0.821939	−	0.569575i	$-0.807108\pi$
$911$	5.00224	−	21.9163i	0.165732	−	0.726118i	0.987671	−	0.156543i	$-0.0500350\pi$
$912$			9.03698i			0.299244i
$913$			51.2726i			1.69687i
$914$	−7.86573	+	34.4620i	−0.260175	+	1.13990i
$915$	−49.0926	+	4.92946i	−1.62295	+	0.162963i
$916$	4.50984	+	5.65516i	0.149009	+	0.186852i
$917$	27.4114	+	25.6478i	0.905205	+	0.846966i
$918$	−0.354233	−	0.282492i	−0.0116914	−	0.00932361i
$919$	10.5485	−	46.2158i	0.347961	−	1.52452i	−0.433839	−	0.900990i	$-0.642841\pi$
$919$	10.5485	−	46.2158i	0.347961	−	1.52452i	0.781801	−	0.623529i	$-0.214301\pi$
$920$	0.441319	+	0.721631i	0.0145499	+	0.0237915i
$921$	5.18235	−	2.49569i	0.170764	−	0.0822357i
$922$	11.3373	−	9.04117i	0.373373	−	0.297755i
$923$	10.6473	−	22.1093i	0.350460	−	0.727737i
$924$	−12.6396	−	7.36796i	−0.415811	−	0.242388i
$925$	3.09969	−	12.2082i	0.101917	−	0.401404i
$926$	20.3462	+	9.79822i	0.668618	+	0.321990i
$927$	−4.20743	+	0.960319i	−0.138190	+	0.0315410i
$928$	1.79036	−	3.71771i	0.0587713	−	0.122040i
$929$	1.35706	−	1.70169i	0.0445236	−	0.0558308i	−0.759071	−	0.651008i	$-0.774347\pi$
$929$	1.35706	−	1.70169i	0.0445236	−	0.0558308i	0.803595	+	0.595177i	$0.202918\pi$
$930$	3.34444	−	9.19860i	0.109669	−	0.301634i
$931$	28.3534	−	25.8711i	0.929246	−	0.847890i
$932$			11.7153i			0.383746i
$933$	25.6698	+	20.4710i	0.840393	+	0.670191i
$934$	−29.2608	−	14.0912i	−0.957441	−	0.461079i
$935$	−0.0778858	+	0.623246i	−0.00254714	+	0.0203823i
$936$	0.465777	+	0.224306i	0.0152244	+	0.00733169i
$937$	−19.1661	−	39.7989i	−0.626130	−	1.30017i	−0.936870	−	0.349677i	$-0.886291\pi$
$937$	−19.1661	−	39.7989i	−0.626130	−	1.30017i	0.310740	−	0.950495i	$-0.399423\pi$
$938$	26.7357	+	8.36924i	0.872953	+	0.273265i
$939$	20.2888	+	9.77055i	0.662099	+	0.318850i
$940$	−4.82781	−	14.3529i	−0.157466	−	0.468141i
$941$	−37.3247	+	17.9746i	−1.21675	+	0.585956i	−0.928405	−	0.371570i	$-0.878819\pi$
$941$	−37.3247	+	17.9746i	−1.21675	+	0.585956i	−0.288346	+	0.957526i	$0.593105\pi$
$942$	0.327093	+	0.260848i	0.0106573	+	0.00849889i
$943$	−3.29482	−	0.752022i	−0.107294	−	0.0244892i
$944$	−0.665102	+	0.834012i	−0.0216472	+	0.0271448i
$945$	31.3582	+	6.46432i	1.02008	+	0.210284i
$946$	11.2135	+	14.0613i	0.364582	+	0.457172i
$947$	0.155329	+	0.322543i	0.00504750	+	0.0104812i	0.903477	−	0.428636i	$-0.141006\pi$
$947$	0.155329	+	0.322543i	0.00504750	+	0.0104812i	−0.898430	+	0.439117i	$0.855291\pi$
$948$	−1.23571	−	0.282043i	−0.0401341	−	0.00916034i
$949$	6.66728			0.216429
$950$	−17.6084	+	21.0141i	−0.571291	+	0.681787i
$951$	4.85471	−	21.2699i	0.157425	−	0.689723i
$952$	−0.211384	−	0.0661707i	−0.00685099	−	0.00214460i
$953$	−51.6093	+	11.7795i	−1.67179	+	0.381575i	−0.950419	−	0.310973i	$-0.899345\pi$
$953$	−51.6093	+	11.7795i	−1.67179	+	0.381575i	−0.721371	+	0.692549i	$0.756488\pi$
$954$	0.418877	+	1.83522i	0.0135616	+	0.0594175i
$955$	10.4431	−	3.51267i	0.337930	−	0.113667i
$956$	11.9381	+	14.9699i	0.386107	+	0.484163i
$957$	−22.2455	+	5.07739i	−0.719095	+	0.164129i
$958$	19.0779	−	4.35440i	0.616377	−	0.140684i
$959$	28.0015	−	29.9270i	0.904216	−	0.966392i
$960$	−1.99838	+	3.09642i	−0.0644974	+	0.0999366i
$961$	−23.9462			−0.772460
$962$		−	4.58999i		−	0.147987i
$963$	−4.57958	−	1.04526i	−0.147575	−	0.0336830i
$964$	−14.7078	+	7.08290i	−0.473706	+	0.228125i
$965$	8.48790	+	25.2343i	0.273235	+	0.812320i
$966$	1.42508	+	0.830718i	0.0458511	+	0.0267279i
$967$	25.6330	+	20.4416i	0.824301	+	0.657358i	0.941971	−	0.335694i	$-0.108971\pi$
$967$	25.6330	+	20.4416i	0.824301	+	0.657358i	−0.117670	+	0.993053i	$0.537542\pi$
$968$	0.250859	+	0.0572569i	0.00806290	+	0.00184030i
$969$	0.471710	−	0.591506i	0.0151535	−	0.0190019i
$970$	2.28444	+	22.7508i	0.0733488	+	0.730483i
$971$	−23.0378	−	28.8885i	−0.739318	−	0.927075i	0.259939	−	0.965625i	$-0.416298\pi$
$971$	−23.0378	−	28.8885i	−0.739318	−	0.927075i	−0.999257	+	0.0385498i	$0.987726\pi$
$972$	1.27492	−	2.64740i	0.0408931	−	0.0849154i
$973$	−3.11391	+	39.3479i	−0.0998275	+	1.26144i
$974$	3.54114	−	1.70532i	0.113465	−	0.0546421i
$975$	−6.18477	−	13.6818i	−0.198071	−	0.438169i
$976$	2.97916	+	13.0525i	0.0953606	+	0.417802i
$977$	21.4544	−	44.5505i	0.686386	−	1.42530i	−0.208058	−	0.978117i	$-0.566714\pi$
$977$	21.4544	−	44.5505i	0.686386	−	1.42530i	0.894444	−	0.447180i	$-0.147572\pi$
$978$	−2.31890	−	1.84926i	−0.0741504	−	0.0591330i
$979$	28.6671			0.916203
$980$	15.4359	−	2.59456i	0.493083	−	0.0828800i
$981$	3.31281			0.105770
$982$	−26.4632	−	21.1037i	−0.844474	−	0.673445i
$983$	2.29493	−	4.76547i	0.0731969	−	0.151995i	−0.861159	−	0.508335i	$-0.830261\pi$
$983$	2.29493	−	4.76547i	0.0731969	−	0.151995i	0.934356	+	0.356340i	$0.115975\pi$
$984$	−3.27637	−	14.3547i	−0.104447	−	0.457612i
$985$	8.88251	+	9.10055i	0.283020	+	0.289968i
$986$	−0.311242	+	0.149886i	−0.00991197	+	0.00477335i
$987$	−21.5631	−	20.1758i	−0.686363	−	0.642203i
$988$	−4.33484	+	9.00139i	−0.137910	+	0.286372i
$989$	−1.26429	−	1.58537i	−0.0402022	−	0.0504119i
$990$	−2.11802	+	0.212673i	−0.0673150	+	0.00675920i
$991$	−14.2802	+	17.9067i	−0.453624	+	0.568827i	−0.955077	−	0.296358i	$-0.904228\pi$
$991$	−14.2802	+	17.9067i	−0.453624	+	0.568827i	0.501453	+	0.865185i	$0.332799\pi$
$992$	−2.58930	−	0.590991i	−0.0822104	−	0.0187640i
$993$	−26.6288	−	21.2358i	−0.845040	−	0.673897i
$994$	−35.5219	−	2.81113i	−1.12669	−	0.0891636i
$995$	10.5593	−	3.55176i	0.334752	−	0.112598i
$996$	22.6915	−	10.9277i	0.719009	−	0.346257i
$997$	−0.961416	−	0.219437i	−0.0304483	−	0.00694963i	0.207270	−	0.978284i	$-0.433542\pi$
$997$	−0.961416	−	0.219437i	−0.0304483	−	0.00694963i	−0.237718	+	0.971334i	$0.576399\pi$
$998$			14.3463i			0.454125i
$999$	−13.6334			−0.431340

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.p.a.239.18	yes	168
5.4	even	2	inner	490.2.p.a.239.11	✓	168
49.8	even	7	inner	490.2.p.a.449.11	yes	168
245.204	even	14	inner	490.2.p.a.449.18	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.p.a.239.11	✓	168	5.4	even	2	inner
490.2.p.a.239.18	yes	168	1.1	even	1	trivial
490.2.p.a.449.11	yes	168	49.8	even	7	inner
490.2.p.a.449.18	yes	168	245.204	even	14	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:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.p (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.781831 + 0.623490i) q^{2} +(-0.715089 + 1.48490i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.60019 + 1.56185i) q^{5} +(-1.48490 + 0.715089i) q^{6} +(0.956314 + 2.46687i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.176903 + 0.221829i) q^{9} +O(q^{10})\)	\(q+(0.781831 + 0.623490i) q^{2} +(-0.715089 + 1.48490i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.60019 + 1.56185i) q^{5} +(-1.48490 + 0.715089i) q^{6} +(0.956314 + 2.46687i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(0.176903 + 0.221829i) q^{9} +(-2.22488 + 0.223403i) q^{10} +(2.09193 - 2.62319i) q^{11} +(-1.60679 - 0.366739i) q^{12} +(-1.42454 - 1.13604i) q^{13} +(-0.790394 + 2.52493i) q^{14} +(-1.17491 - 3.49298i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(0.0816197 + 0.0186292i) q^{17} +0.283730i q^{18} -5.48324 q^{19} +(-1.87877 - 1.21253i) q^{20} +(-4.34690 - 0.344005i) q^{21} +(3.27107 - 0.746600i) q^{22} +(-0.368805 + 0.0841772i) q^{23} +(-1.02758 - 1.28855i) q^{24} +(0.121225 - 4.99853i) q^{25} +(-0.405447 - 1.77638i) q^{26} +(-5.27626 + 1.20427i) q^{27} +(-2.19222 + 1.48127i) q^{28} +(-0.918199 + 4.02289i) q^{29} +(1.25926 - 3.46347i) q^{30} +2.65589 q^{31} +(-0.974928 - 0.222521i) q^{32} +(2.39926 + 4.98211i) q^{33} +(0.0521977 + 0.0654539i) q^{34} +(-5.38318 - 2.45385i) q^{35} +(-0.176903 + 0.221829i) q^{36} +(2.45596 + 0.560557i) q^{37} +(-4.28697 - 3.41874i) q^{38} +(2.70557 - 1.30293i) q^{39} +(-0.712885 - 2.11939i) q^{40} +(8.04907 + 3.87623i) q^{41} +(-3.18406 - 2.97920i) q^{42} +(2.32578 + 4.82952i) q^{43} +(3.02292 + 1.45576i) q^{44} +(-0.629543 - 0.0786728i) q^{45} +(-0.340827 - 0.164133i) q^{46} +(5.29473 + 4.22241i) q^{47} -1.64811i q^{48} +(-5.17093 + 4.71821i) q^{49} +(3.21131 - 3.83243i) q^{50} +(-0.0860277 + 0.107875i) q^{51} +(0.790562 - 1.64162i) q^{52} +(6.46819 - 1.47632i) q^{53} +(-4.87600 - 2.34816i) q^{54} +(0.749561 + 7.46490i) q^{55} +(-2.63751 - 0.208727i) q^{56} +(3.92100 - 8.14204i) q^{57} +(-3.22611 + 2.57274i) q^{58} +(0.961100 - 0.462842i) q^{59} +(3.14396 - 1.92272i) q^{60} +(2.97916 - 13.0525i) q^{61} +(2.07646 + 1.65592i) q^{62} +(-0.378050 + 0.648536i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(4.05387 - 0.407055i) q^{65} +(-1.23048 + 5.39109i) q^{66} -10.5887i q^{67} +0.0837187i q^{68} +(0.138733 - 0.607831i) q^{69} +(-2.67879 - 5.27485i) q^{70} +(2.99691 + 13.1303i) q^{71} +(-0.276617 + 0.0631359i) q^{72} +(-2.86087 + 2.28147i) q^{73} +(1.57065 + 1.96953i) q^{74} +(7.33561 + 3.75440i) q^{75} +(-1.22014 - 5.34576i) q^{76} +(8.47163 + 2.65192i) q^{77} +(2.92767 + 0.668221i) q^{78} +0.769057 q^{79} +(0.764060 - 2.10148i) q^{80} +(1.79537 - 7.86602i) q^{81} +(3.87623 + 8.04907i) q^{82} +(-11.9476 + 9.52790i) q^{83} +(-0.631896 - 4.31446i) q^{84} +(-0.159703 + 0.0976678i) q^{85} +(-1.19279 + 5.22597i) q^{86} +(-5.31699 - 4.24016i) q^{87} +(1.45576 + 3.02292i) q^{88} +(5.32715 + 6.68004i) q^{89} +(-0.443145 - 0.454023i) q^{90} +(1.44015 - 4.60058i) q^{91} +(-0.164133 - 0.340827i) q^{92} +(-1.89920 + 3.94372i) q^{93} +(1.50696 + 6.60242i) q^{94} +(8.77423 - 8.56401i) q^{95} +(1.02758 - 1.28855i) q^{96} -10.2256i q^{97} +(-6.98455 + 0.464827i) q^{98} +0.951969 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) \) 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9	\( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) \) 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9 - 4 * q^10 - 24 * q^11 + 4 * q^14 - 2 * q^15 - 28 * q^16 + 44 * q^19 - 10 * q^20 + 22 * q^26 - 2 * q^29 - 12 * q^30 - 16 * q^31 - 8 * q^34 - 4 * q^35 - 18 * q^36 - 80 * q^39 - 10 * q^40 + 52 * q^41 - 18 * q^44 - 72 * q^45 + 26 * q^46 - 52 * q^49 - 8 * q^50 + 64 * q^51 - 42 * q^54 - 60 * q^55 + 10 * q^56 - 58 * q^59 + 2 * q^60 + 32 * q^61 + 28 * q^64 + 4 * q^65 + 48 * q^66 - 48 * q^69 + 18 * q^70 - 68 * q^71 - 10 * q^74 - 16 * q^76 - 4 * q^80 + 34 * q^81 + 84 * q^84 - 48 * q^85 - 64 * q^86 + 100 * q^89 + 54 * q^90 + 78 * q^91 - 86 * q^94 - 64 * q^95 - 212 * q^99

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