LMFDB - Embedded newform 256.2.m.a.101.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [256,2,Mod(5,256)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(256, base_ring=CyclotomicField(64))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("256.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 256 = 2^{8} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	256.m (of order $64$, degree $32$, 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:	$2.04417029174$
Analytic rank:	$0$
Dimension:	$992$
Relative dimension:	$31$ over $\Q(\zeta_{64})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{64}]$

Embedding invariants

Embedding label			101.1
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41293 + 0.0602112i) q^{2} +(1.01304 - 0.253754i) q^{3} +(1.99275 - 0.170149i) q^{4} +(-2.83877 - 1.34264i) q^{5} +(-1.41608 + 0.419533i) q^{6} +(-0.632094 - 2.08373i) q^{7} +(-2.80537 + 0.360394i) q^{8} +(-1.68390 + 0.900065i) q^{9} +O(q^{10})$	\(q+(-1.41293 + 0.0602112i) q^{2} +(1.01304 - 0.253754i) q^{3} +(1.99275 - 0.170149i) q^{4} +(-2.83877 - 1.34264i) q^{5} +(-1.41608 + 0.419533i) q^{6} +(-0.632094 - 2.08373i) q^{7} +(-2.80537 + 0.360394i) q^{8} +(-1.68390 + 0.900065i) q^{9} +(4.09183 + 1.72613i) q^{10} +(-4.58118 + 0.679555i) q^{11} +(1.97556 - 0.678035i) q^{12} +(-0.0701864 + 0.196158i) q^{13} +(1.01857 + 2.90611i) q^{14} +(-3.21649 - 0.639799i) q^{15} +(3.94210 - 0.678127i) q^{16} +(-1.90249 + 0.378428i) q^{17} +(2.32504 - 1.37312i) q^{18} +(-0.0488801 - 0.0443023i) q^{19} +(-5.88540 - 2.19253i) q^{20} +(-1.16909 - 1.95051i) q^{21} +(6.43198 - 1.23600i) q^{22} +(7.00732 - 0.690160i) q^{23} +(-2.75051 + 1.07697i) q^{24} +(3.08397 + 3.75783i) q^{25} +(0.0873577 - 0.281384i) q^{26} +(-3.79888 + 3.44310i) q^{27} +(-1.61415 - 4.04481i) q^{28} +(-3.55908 - 4.79886i) q^{29} +(4.58320 + 0.710324i) q^{30} +(-9.08109 - 3.76151i) q^{31} +(-5.52908 + 1.19551i) q^{32} +(-4.46849 + 1.85091i) q^{33} +(2.66530 - 0.649245i) q^{34} +(-1.00333 + 6.76391i) q^{35} +(-3.20245 + 2.08012i) q^{36} +(0.490481 - 9.98397i) q^{37} +(0.0717317 + 0.0596530i) q^{38} +(-0.0213260 + 0.216526i) q^{39} +(8.44768 + 2.74352i) q^{40} +(7.56753 - 9.22107i) q^{41} +(1.76929 + 2.68555i) q^{42} +(-2.00024 + 7.98542i) q^{43} +(-9.01353 + 2.13366i) q^{44} +(5.98867 - 0.294205i) q^{45} +(-9.85930 + 1.39707i) q^{46} +(5.11261 + 3.41614i) q^{47} +(3.82143 - 1.68729i) q^{48} +(1.87788 - 1.25476i) q^{49} +(-4.58370 - 5.12386i) q^{50} +(-1.83127 + 0.866127i) q^{51} +(-0.106488 + 0.402836i) q^{52} +(-1.75492 + 2.36623i) q^{53} +(5.16024 - 5.09360i) q^{54} +(13.9173 + 4.22177i) q^{55} +(2.52422 + 5.61785i) q^{56} +(-0.0607594 - 0.0324766i) q^{57} +(5.31767 + 6.56616i) q^{58} +(0.442525 + 1.23677i) q^{59} +(-6.51852 - 0.727679i) q^{60} +(3.26046 - 5.43975i) q^{61} +(13.0574 + 4.76797i) q^{62} +(2.93988 + 2.93988i) q^{63} +(7.74023 - 2.02208i) q^{64} +(0.462612 - 0.462612i) q^{65} +(6.20222 - 2.88426i) q^{66} +(-0.0461604 - 0.0276675i) q^{67} +(-3.72679 + 1.07782i) q^{68} +(6.92357 - 2.47729i) q^{69} +(1.01038 - 9.61736i) q^{70} +(-1.19701 + 2.23946i) q^{71} +(4.39960 - 3.13189i) q^{72} +(-2.24873 + 7.41306i) q^{73} +(-0.0918690 + 14.1362i) q^{74} +(4.07775 + 3.02426i) q^{75} +(-0.104944 - 0.0799666i) q^{76} +(4.31175 + 9.11643i) q^{77} +(0.0170948 - 0.307221i) q^{78} +(1.27855 + 1.91348i) q^{79} +(-12.1012 - 3.36777i) q^{80} +(0.207624 - 0.310732i) q^{81} +(-10.1372 + 13.4844i) q^{82} +(-0.250379 - 5.09658i) q^{83} +(-2.66158 - 3.68796i) q^{84} +(5.90882 + 1.48008i) q^{85} +(2.34539 - 11.4033i) q^{86} +(-4.82322 - 3.95831i) q^{87} +(12.6070 - 3.55744i) q^{88} +(0.0663156 + 0.00653152i) q^{89} +(-8.44387 + 0.776276i) q^{90} +(0.453106 + 0.0222596i) q^{91} +(13.8464 - 2.56760i) q^{92} +(-10.1540 - 1.50621i) q^{93} +(-7.42946 - 4.51893i) q^{94} +(0.0792773 + 0.191392i) q^{95} +(-5.29783 + 2.61412i) q^{96} +(-0.00361767 + 0.00873382i) q^{97} +(-2.57777 + 1.88596i) q^{98} +(7.10262 - 5.26767i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) $ 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/256\mathbb{Z}\right)^\times$.

$n$	$5$	$255$
$\chi(n)$	$e\left(\frac{9}{64}\right)$	$1$

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 $

$2$	−1.41293	+	0.0602112i	−0.999093	+	0.0425758i
$2$	−1.41293	+	0.0602112i	−0.999093	+	0.0425758i
$3$	1.01304	−	0.253754i	0.584880	−	0.146505i	0.0607644	−	0.998152i	$-0.480646\pi$
$3$	1.01304	−	0.253754i	0.584880	−	0.146505i	0.524115	+	0.851647i	$0.324396\pi$
$4$	1.99275	−	0.170149i	0.996375	−	0.0850743i
$5$	−2.83877	−	1.34264i	−1.26954	−	0.600446i	−0.330351	−	0.943858i	$-0.607167\pi$
$5$	−2.83877	−	1.34264i	−1.26954	−	0.600446i	−0.939185	+	0.343412i	$0.888417\pi$
$6$	−1.41608	+	0.419533i	−0.578112	+	0.171274i
$7$	−0.632094	−	2.08373i	−0.238909	−	0.787578i	−0.991616	−	0.129222i	$-0.958752\pi$
$7$	−0.632094	−	2.08373i	−0.238909	−	0.787578i	0.752707	−	0.658356i	$-0.228748\pi$
$8$	−2.80537	+	0.360394i	−0.991849	+	0.127419i
$9$	−1.68390	+	0.900065i	−0.561301	+	0.300022i
$10$	4.09183	+	1.72613i	1.29395	+	0.545850i
$11$	−4.58118	+	0.679555i	−1.38128	+	0.204893i	−0.795685	−	0.605711i	$-0.792889\pi$
$11$	−4.58118	+	0.679555i	−1.38128	+	0.204893i	−0.585594	+	0.810604i	$0.699139\pi$
$12$	1.97556	−	0.678035i	0.570295	−	0.195732i
$13$	−0.0701864	+	0.196158i	−0.0194662	+	0.0544044i	−0.950884	−	0.309547i	$-0.899823\pi$
$13$	−0.0701864	+	0.196158i	−0.0194662	+	0.0544044i	0.931418	+	0.363951i	$0.118573\pi$
$14$	1.01857	+	2.90611i	0.272224	+	0.776692i
$15$	−3.21649	−	0.639799i	−0.830494	−	0.165196i
$16$	3.94210	−	0.678127i	0.985525	−	0.169532i
$17$	−1.90249	+	0.378428i	−0.461421	+	0.0917824i	−0.420327	−	0.907373i	$-0.638084\pi$
$17$	−1.90249	+	0.378428i	−0.461421	+	0.0917824i	−0.0410946	+	0.999155i	$0.513084\pi$
$18$	2.32504	−	1.37312i	0.548018	−	0.323647i
$19$	−0.0488801	−	0.0443023i	−0.0112139	−	0.0101637i	0.665933	−	0.746012i	$-0.268034\pi$
$19$	−0.0488801	−	0.0443023i	−0.0112139	−	0.0101637i	−0.677147	+	0.735848i	$0.736784\pi$
$20$	−5.88540	−	2.19253i	−1.31602	−	0.490264i
$21$	−1.16909	−	1.95051i	−0.255117	−	0.425637i
$22$	6.43198	−	1.23600i	1.37130	−	0.263517i
$23$	7.00732	−	0.690160i	1.46113	−	0.143908i	0.664005	−	0.747728i	$-0.268855\pi$
$23$	7.00732	−	0.690160i	1.46113	−	0.143908i	0.797121	+	0.603819i	$0.206355\pi$
$24$	−2.75051	+	1.07697i	−0.561445	+	0.219835i
$25$	3.08397	+	3.75783i	0.616794	+	0.751565i
$26$	0.0873577	−	0.281384i	0.0171323	−	0.0551839i
$27$	−3.79888	+	3.44310i	−0.731095	+	0.662626i
$28$	−1.61415	−	4.04481i	−0.305045	−	0.764397i
$29$	−3.55908	−	4.79886i	−0.660904	−	0.891125i	0.337842	−	0.941203i	$-0.390303\pi$
$29$	−3.55908	−	4.79886i	−0.660904	−	0.891125i	−0.998745	+	0.0500776i	$0.984053\pi$
$30$	4.58320	+	0.710324i	0.836774	+	0.129687i
$31$	−9.08109	−	3.76151i	−1.63101	−	0.675587i	−0.635666	−	0.771964i	$-0.719275\pi$
$31$	−9.08109	−	3.76151i	−1.63101	−	0.675587i	−0.995345	+	0.0963770i	$0.969275\pi$
$32$	−5.52908	+	1.19551i	−0.977413	+	0.211337i
$33$	−4.46849	+	1.85091i	−0.777864	+	0.322202i
$34$	2.66530	−	0.649245i	0.457095	−	0.111345i
$35$	−1.00333	+	6.76391i	−0.169594	+	1.14331i
$36$	−3.20245	+	2.08012i	−0.533742	+	0.346686i
$37$	0.490481	−	9.98397i	0.0806346	−	1.64136i	−0.528963	−	0.848645i	$-0.677419\pi$
$37$	0.490481	−	9.98397i	0.0806346	−	1.64136i	0.609598	−	0.792711i	$-0.291331\pi$
$38$	0.0717317	+	0.0596530i	0.0116364	+	0.00967700i
$39$	−0.0213260	+	0.216526i	−0.00341489	+	0.0346719i
$40$	8.44768	+	2.74352i	1.33570	+	0.433789i
$41$	7.56753	−	9.22107i	1.18185	−	1.44009i	0.309711	−	0.950831i	$-0.399768\pi$
$41$	7.56753	−	9.22107i	1.18185	−	1.44009i	0.872139	−	0.489258i	$-0.162732\pi$
$42$	1.76929	+	2.68555i	0.273007	+	0.414389i
$43$	−2.00024	+	7.98542i	−0.305034	+	1.21777i	0.602614	+	0.798033i	$0.294126\pi$
$43$	−2.00024	+	7.98542i	−0.305034	+	1.21777i	−0.907648	+	0.419732i	$0.862124\pi$
$44$	−9.01353	+	2.13366i	−1.35884	+	0.321662i
$45$	5.98867	−	0.294205i	0.892738	−	0.0438574i
$46$	−9.85930	+	1.39707i	−1.45367	+	0.205986i
$47$	5.11261	+	3.41614i	0.745751	+	0.498295i	0.869448	−	0.494025i	$-0.164475\pi$
$47$	5.11261	+	3.41614i	0.745751	+	0.498295i	−0.123697	+	0.992320i	$0.539475\pi$
$48$	3.82143	−	1.68729i	0.551576	−	0.243540i
$49$	1.87788	−	1.25476i	0.268269	−	0.179251i
$50$	−4.58370	−	5.12386i	−0.648233	−	0.724623i
$51$	−1.83127	+	0.866127i	−0.256429	+	0.121282i
$52$	−0.106488	+	0.402836i	−0.0147672	+	0.0558633i
$53$	−1.75492	+	2.36623i	−0.241057	+	0.325027i	−0.907123	−	0.420865i	$-0.861727\pi$
$53$	−1.75492	+	2.36623i	−0.241057	+	0.325027i	0.666067	+	0.745892i	$0.267977\pi$
$54$	5.16024	−	5.09360i	0.702220	−	0.693152i
$55$	13.9173	+	4.22177i	1.87661	+	0.569264i
$56$	2.52422	+	5.61785i	0.337314	+	0.750717i
$57$	−0.0607594	−	0.0324766i	−0.00804778	−	0.00430163i
$58$	5.31767	+	6.56616i	0.698245	+	0.862179i
$59$	0.442525	+	1.23677i	0.0576118	+	0.161014i	0.966902	−	0.255149i	$-0.0821245\pi$
$59$	0.442525	+	1.23677i	0.0576118	+	0.161014i	−0.909290	+	0.416163i	$0.863374\pi$
$60$	−6.51852	−	0.727679i	−0.841537	−	0.0939429i
$61$	3.26046	−	5.43975i	0.417459	−	0.696488i	−0.575123	−	0.818067i	$-0.695046\pi$
$61$	3.26046	−	5.43975i	0.417459	−	0.696488i	0.992582	+	0.121579i	$0.0387957\pi$
$62$	13.0574	+	4.76797i	1.65830	+	0.605533i
$63$	2.93988	+	2.93988i	0.370390	+	0.370390i
$64$	7.74023	−	2.02208i	0.967529	−	0.252760i
$65$	0.462612	−	0.462612i	0.0573800	−	0.0573800i
$66$	6.20222	−	2.88426i	0.763441	−	0.355028i
$67$	−0.0461604	−	0.0276675i	−0.00563939	−	0.00338012i	0.511280	−	0.859414i	$-0.329171\pi$
$67$	−0.0461604	−	0.0276675i	−0.00563939	−	0.00338012i	−0.516920	+	0.856034i	$0.672921\pi$
$68$	−3.72679	+	1.07782i	−0.451940	+	0.130705i
$69$	6.92357	−	2.47729i	0.833500	−	0.298231i
$70$	1.01038	−	9.61736i	0.120763	−	1.14949i
$71$	−1.19701	+	2.23946i	−0.142059	+	0.265775i	−0.942882	−	0.333127i	$-0.891896\pi$
$71$	−1.19701	+	2.23946i	−0.142059	+	0.265775i	0.800822	+	0.598902i	$0.204396\pi$
$72$	4.39960	−	3.13189i	0.518497	−	0.369096i
$73$	−2.24873	+	7.41306i	−0.263194	+	0.867634i	0.721361	+	0.692559i	$0.243517\pi$
$73$	−2.24873	+	7.41306i	−0.263194	+	0.867634i	−0.984555	+	0.175075i	$0.943983\pi$
$74$	−0.0918690	+	14.1362i	−0.0106796	+	1.64330i
$75$	4.07775	+	3.02426i	0.470858	+	0.349212i
$76$	−0.104944	−	0.0799666i	−0.0120379	−	0.00917279i
$77$	4.31175	+	9.11643i	0.491370	+	1.03891i
$78$	0.0170948	−	0.307221i	0.00193561	−	0.0347859i
$79$	1.27855	+	1.91348i	0.143848	+	0.215284i	0.896397	−	0.443253i	$-0.146176\pi$
$79$	1.27855	+	1.91348i	0.143848	+	0.215284i	−0.752548	+	0.658537i	$0.771176\pi$
$80$	−12.1012	−	3.36777i	−1.35295	−	0.376528i
$81$	0.207624	−	0.310732i	0.0230694	−	0.0345258i
$82$	−10.1372	+	13.4844i	−1.11947	+	1.48910i
$83$	−0.250379	−	5.09658i	−0.0274826	−	0.559422i	−0.972571	−	0.232607i	$-0.925275\pi$
$83$	−0.250379	−	5.09658i	−0.0274826	−	0.559422i	0.945088	−	0.326815i	$-0.105975\pi$
$84$	−2.66158	−	3.68796i	−0.290403	−	0.402390i
$85$	5.90882	+	1.48008i	0.640901	+	0.160537i
$86$	2.34539	−	11.4033i	0.252910	−	1.22965i
$87$	−4.82322	−	3.95831i	−0.517103	−	0.424376i
$88$	12.6070	−	3.55744i	1.34391	−	0.379224i
$89$	0.0663156	+	0.00653152i	0.00702944	+	0.000692339i	0.101531	−	0.994832i	$-0.467626\pi$
$89$	0.0663156	+	0.00653152i	0.00702944	+	0.000692339i	−0.0945018	+	0.995525i	$0.530126\pi$
$90$	−8.44387	+	0.776276i	−0.890062	+	0.0818267i
$91$	0.453106	+	0.0222596i	0.0474984	+	0.00233344i
$92$	13.8464	−	2.56760i	1.44359	−	0.267691i
$93$	−10.1540	−	1.50621i	−1.05292	−	0.156186i
$94$	−7.42946	−	4.51893i	−0.766290	−	0.466092i
$95$	0.0792773	+	0.191392i	0.00813368	+	0.0196364i
$96$	−5.29783	+	2.61412i	−0.540707	+	0.266803i
$97$	−0.00361767	+	0.00873382i	−0.000367318	+	0.000886785i	−0.924063	−	0.382240i	$-0.875153\pi$
$97$	−0.00361767	+	0.00873382i	−0.000367318	+	0.000886785i	0.923696	+	0.383127i	$0.125153\pi$
$98$	−2.57777	+	1.88596i	−0.260394	+	0.190511i
$99$	7.10262	−	5.26767i	0.713841	−	0.529420i
$100$	6.78496	+	6.96367i	0.678496	+	0.696367i
$101$	−9.86786	−	10.8875i	−0.981889	−	1.08335i	−0.996512	−	0.0834545i	$-0.973405\pi$
$101$	−9.86786	−	10.8875i	−0.981889	−	1.08335i	0.0146225	−	0.999893i	$-0.495345\pi$
$102$	2.53531	−	1.33404i	0.251033	−	0.132090i
$103$	−4.28371	+	3.51555i	−0.422087	+	0.346397i	−0.821336	−	0.570445i	$-0.806771\pi$
$103$	−4.28371	+	3.51555i	−0.422087	+	0.346397i	0.399249	+	0.916842i	$0.369271\pi$
$104$	0.126205	−	0.575591i	0.0123754	−	0.0564413i
$105$	0.699951	+	7.10672i	0.0683082	+	0.693545i
$106$	2.33711	−	3.44899i	0.227000	−	0.334996i
$107$	−10.4824	+	6.28289i	−1.01337	+	0.607390i	−0.921499	−	0.388381i	$-0.873035\pi$
$107$	−10.4824	+	6.28289i	−1.01337	+	0.607390i	−0.0918703	+	0.995771i	$0.529285\pi$
$108$	−6.98437	+	7.50762i	−0.672072	+	0.722421i
$109$	−6.76227	+	7.46101i	−0.647708	+	0.714635i	−0.972955	−	0.230993i	$-0.925802\pi$
$109$	−6.76227	+	7.46101i	−0.647708	+	0.714635i	0.325247	+	0.945629i	$0.394552\pi$
$110$	−19.9184	−	5.12710i	−1.89915	−	0.488849i
$111$	−2.03659	−	10.2386i	−0.193305	−	0.971808i
$112$	−3.90481	−	7.78565i	−0.368970	−	0.735674i
$113$	3.46718	−	17.4307i	0.326165	−	1.63974i	−0.375205	−	0.926942i	$-0.622428\pi$
$113$	3.46718	−	17.4307i	0.326165	−	1.63974i	0.701369	−	0.712798i	$-0.252572\pi$
$114$	0.0878043	+	0.0422288i	0.00822363	+	0.00395509i
$115$	−20.8188	−	7.44908i	−1.94136	−	0.694631i
$116$	−7.90886	−	8.95735i	−0.734319	−	0.831669i
$117$	−0.0583677	−	0.393483i	−0.00539610	−	0.0363775i
$118$	−0.699725	−	1.72083i	−0.0644149	−	0.158415i
$119$	1.99110	+	3.72508i	0.182523	+	0.341477i
$120$	9.25403	+	0.635672i	0.844774	+	0.0580287i
$121$	9.99911	−	3.03320i	0.909010	−	0.275745i
$122$	−4.27927	+	7.88230i	−0.387427	+	0.713630i
$123$	5.32634	−	11.2616i	0.480260	−	1.01542i
$124$	−18.7363	−	5.95061i	−1.68257	−	0.534381i
$125$	0.105841	+	0.422542i	0.00946674	+	0.0377933i
$126$	−4.33086	−	3.97683i	−0.385824	−	0.354285i
$127$			14.2247i			1.26224i	0.775686	+	0.631120i	$0.217404\pi$
$127$			14.2247i			1.26224i	−0.775686	+	0.631120i	$0.782596\pi$
$128$	−10.8147	+	3.32311i	−0.955890	+	0.293724i
$129$			8.59713i			0.756935i
$130$	−0.625785	+	0.681494i	−0.0548850	+	0.0597709i
$131$	−0.457165	−	1.82510i	−0.0399427	−	0.159460i	0.946778	−	0.321888i	$-0.104317\pi$
$131$	−0.457165	−	1.82510i	−0.0399427	−	0.159460i	−0.986720	+	0.162428i	$0.948067\pi$
$132$	−8.58965	+	4.44870i	−0.747633	+	0.387210i
$133$	−0.0614175	+	0.129856i	−0.00532557	+	0.0112600i
$134$	0.0668874	+	0.0363129i	0.00577819	+	0.00313696i
$135$	15.4070	−	4.67366i	1.32602	−	0.402244i
$136$	5.20081	−	1.74728i	0.445965	−	0.149828i
$137$	6.71036	+	12.5542i	0.573304	+	1.07258i	0.986781	+	0.162062i	$0.0518145\pi$
$137$	6.71036	+	12.5542i	0.573304	+	1.07258i	−0.413476	+	0.910515i	$0.635685\pi$
$138$	−9.63337	+	3.91712i	−0.820047	+	0.333447i
$139$	−1.68254	−	11.3428i	−0.142712	−	0.962083i	−0.935687	−	0.352830i	$-0.885219\pi$
$139$	−1.68254	−	11.3428i	−0.142712	−	0.962083i	0.792976	−	0.609253i	$-0.208531\pi$
$140$	−0.848518	+	13.6495i	−0.0717129	+	1.15359i
$141$	6.04614	+	2.16334i	0.509177	+	0.182186i
$142$	1.55646	−	3.23627i	0.130615	−	0.271582i
$143$	0.188237	−	0.946331i	0.0157412	−	0.0791362i
$144$	−6.02775	+	4.69004i	−0.502313	+	0.390837i
$145$	3.66027	+	18.4014i	0.303968	+	1.52815i
$146$	2.73095	−	10.6095i	0.226015	−	0.878052i
$147$	1.58397	−	1.74764i	0.130644	−	0.144143i
$148$	−0.721353	−	19.9790i	−0.0592949	−	1.64226i
$149$	−8.45364	+	5.06692i	−0.692549	+	0.415098i	−0.816620	−	0.577175i	$-0.804155\pi$
$149$	−8.45364	+	5.06692i	−0.692549	+	0.415098i	0.124071	+	0.992273i	$0.460405\pi$
$150$	−5.94367	−	4.02755i	−0.485299	−	0.328848i
$151$	−1.47347	−	14.9604i	−0.119909	−	1.21746i	−0.847255	−	0.531187i	$-0.821746\pi$
$151$	−1.47347	−	14.9604i	−0.119909	−	1.21746i	0.727346	−	0.686271i	$-0.240754\pi$
$152$	0.153093	+	0.106668i	0.0124175	+	0.00865196i
$153$	2.86299	−	2.34960i	0.231459	−	0.189954i
$154$	−6.64112	−	12.6213i	−0.535156	−	1.01705i
$155$	20.7288	+	22.8707i	1.66497	+	1.83702i
$156$	−0.00565568	+	0.435111i	−0.000452817	+	0.0348368i
$157$	−9.73588	+	7.22062i	−0.777008	+	0.576268i	−0.909883	−	0.414864i	$-0.863829\pi$
$157$	−9.73588	+	7.22062i	−0.777008	+	0.576268i	0.132875	+	0.991133i	$0.457579\pi$
$158$	−1.92172	−	2.62664i	−0.152883	−	0.208964i
$159$	−1.17736	+	2.84241i	−0.0933711	+	0.225418i
$160$	17.3009	+	4.02979i	1.36776	+	0.318583i
$161$	−5.86739	−	14.1651i	−0.462415	−	1.11637i
$162$	−0.274650	+	0.451544i	−0.0215785	+	0.0354767i
$163$	−2.76955	−	0.410823i	−0.216928	−	0.0321782i	0.0373819	−	0.999301i	$-0.488098\pi$
$163$	−2.76955	−	0.410823i	−0.216928	−	0.0321782i	−0.254310	+	0.967123i	$0.581848\pi$
$164$	13.5112	−	19.6629i	1.05505	−	1.53541i
$165$	15.1701	+	0.745260i	1.18099	+	0.0580184i
$166$	0.660639	+	7.18604i	0.0512755	+	0.557745i
$167$	4.54154	+	0.447303i	0.351435	+	0.0346134i	0.272195	−	0.962242i	$-0.412251\pi$
$167$	4.54154	+	0.447303i	0.351435	+	0.0346134i	0.0792405	+	0.996856i	$0.474751\pi$
$168$	3.98269	+	5.05058i	0.307271	+	0.389661i
$169$	10.0156	+	8.21958i	0.770430	+	0.632275i
$170$	−8.43787	−	1.73548i	−0.647155	−	0.133105i
$171$	0.122184	+	0.0306056i	0.00934367	+	0.00234047i
$172$	−2.62728	+	16.2533i	−0.200328	+	1.23930i
$173$	−1.05231	−	21.4203i	−0.0800059	−	1.62856i	−0.618400	−	0.785864i	$-0.712219\pi$
$173$	−1.05231	−	21.4203i	−0.0800059	−	1.62856i	0.538394	−	0.842693i	$-0.319031\pi$
$174$	7.05321	+	5.30241i	0.534702	+	0.401975i
$175$	5.88095	−	8.80147i	0.444558	−	0.665328i
$176$	−17.5987	+	5.78550i	−1.32655	+	0.436098i
$177$	0.762132	+	1.14061i	0.0572853	+	0.0857336i
$178$	−0.0940927	−	0.00523564i	−0.00705254	−	0.000392428i
$179$	0.319451	+	0.675421i	0.0238769	+	0.0504834i	0.915575	−	0.402147i	$-0.131736\pi$
$179$	0.319451	+	0.675421i	0.0238769	+	0.0504834i	−0.891698	+	0.452630i	$0.850486\pi$
$180$	11.8839	−	1.60524i	0.885771	−	0.119648i
$181$	1.18583	+	0.879471i	0.0881420	+	0.0653706i	0.638873	−	0.769312i	$-0.279401\pi$
$181$	1.18583	+	0.879471i	0.0881420	+	0.0653706i	−0.550731	+	0.834683i	$0.685651\pi$
$182$	−0.641547	−	0.00416932i	−0.0475546	−	0.000309050i
$183$	1.92262	−	6.33804i	0.142124	−	0.468521i
$184$	−19.4094	+	4.46155i	−1.43088	+	0.328910i
$185$	−14.7972	+	27.6837i	−1.08791	+	2.03534i
$186$	14.4376	+	1.51678i	1.05862	+	0.111216i
$187$	8.45849	−	3.02650i	0.618546	−	0.221319i
$188$	10.7694	+	5.93760i	0.785440	+	0.433044i
$189$	9.57576	+	5.73949i	0.696534	+	0.417487i
$190$	−0.123537	−	0.265651i	−0.00896234	−	0.0192723i
$191$	−0.869892	+	0.869892i	−0.0629432	+	0.0629432i	−0.737878	−	0.674934i	$-0.764172\pi$
$191$	−0.869892	+	0.869892i	−0.0629432	+	0.0629432i	0.674934	+	0.737878i	$0.264172\pi$
$192$	7.32806	−	4.01256i	0.528857	−	0.289582i
$193$	−13.6567	−	13.6567i	−0.983033	−	0.983033i	0.0168256	−	0.999858i	$-0.494644\pi$
$193$	−13.6567	−	13.6567i	−0.983033	−	0.983033i	−0.999858	+	0.0168256i	$0.994644\pi$
$194$	0.00458564	−	0.0125581i	0.000329230	−	0.000901619i
$195$	0.351256	−	0.586035i	0.0251539	−	0.0419668i
$196$	3.52865	−	2.81994i	0.252046	−	0.201424i
$197$	−5.67565	−	15.8624i	−0.404373	−	1.13015i	−0.955311	−	0.295601i	$-0.904480\pi$
$197$	−5.67565	−	15.8624i	−0.404373	−	1.13015i	0.550938	−	0.834546i	$-0.314270\pi$
$198$	−9.71835	+	7.87051i	−0.690653	+	0.559333i
$199$	−13.3646	−	7.14354i	−0.947393	−	0.506392i	−0.0760699	−	0.997102i	$-0.524237\pi$
$199$	−13.3646	−	7.14354i	−0.947393	−	0.506392i	−0.871323	+	0.490711i	$0.836737\pi$
$200$	−10.0060	−	9.43066i	−0.707529	−	0.666848i
$201$	−0.0537831	−	0.0163149i	−0.00379357	−	0.00115077i
$202$	14.5982	+	14.7891i	1.02712	+	1.04056i
$203$	−7.74987	+	10.4495i	−0.543934	+	0.733411i
$204$	−3.50189	+	2.03756i	−0.245182	+	0.142658i
$205$	−33.8630	+	16.0160i	−2.36510	+	1.11861i
$206$	5.84091	−	5.22516i	0.406956	−	0.364054i
$207$	−11.1784	+	7.46920i	−0.776956	+	0.519145i
$208$	−0.143662	+	0.820869i	−0.00996116	+	0.0569171i
$209$	0.254035	+	0.169741i	0.0175719	+	0.0117412i
$210$	−1.41689	−	9.99916i	−0.0977745	−	0.690008i
$211$	0.124839	−	0.00613293i	0.00859424	−	0.000422208i	−0.0447701	−	0.998997i	$-0.514256\pi$
$211$	0.124839	−	0.00613293i	0.00859424	−	0.000422208i	0.0533643	+	0.998575i	$0.483006\pi$
$212$	−3.09450	+	5.01391i	−0.212531	+	0.344357i
$213$	−0.644355	+	2.57241i	−0.0441504	+	0.176258i
$214$	14.4326	−	9.50845i	0.986590	−	0.649984i
$215$	16.3998	−	19.9832i	1.11845	−	1.36284i
$216$	9.41640	−	11.0283i	0.640705	−	0.750380i
$217$	−2.09789	+	21.3002i	−0.142414	+	1.44595i
$218$	9.10538	−	10.9491i	0.616694	−	0.741564i
$219$	−0.396963	+	8.08036i	−0.0268243	+	0.546020i
$220$	28.4521	+	6.04492i	1.91824	+	0.407549i
$221$	0.0592971	−	0.399749i	0.00398876	−	0.0268900i
$222$	3.49404	+	14.3439i	0.234505	+	0.962697i
$223$	17.9931	−	7.45297i	1.20490	−	0.499088i	0.312324	−	0.949976i	$-0.398892\pi$
$223$	17.9931	−	7.45297i	1.20490	−	0.499088i	0.892581	+	0.450888i	$0.148892\pi$
$224$	5.98602	+	10.7655i	0.399957	+	0.719298i
$225$	−8.57539	−	3.55204i	−0.571692	−	0.236803i
$226$	−3.84936	+	24.8371i	−0.256056	+	1.65214i
$227$	4.36592	+	5.88676i	0.289776	+	0.390718i	0.923975	−	0.382452i	$-0.124920\pi$
$227$	4.36592	+	5.88676i	0.289776	+	0.390718i	−0.634199	+	0.773169i	$0.718670\pi$
$228$	−0.126604	−	0.0543796i	−0.00838456	−	0.00360137i
$229$	16.4725	−	14.9298i	1.08853	−	0.986588i	0.0885765	−	0.996069i	$-0.471768\pi$
$229$	16.4725	−	14.9298i	1.08853	−	0.986588i	0.999955	+	0.00948186i	$0.00301821\pi$
$230$	29.8640	+	9.27152i	1.96918	+	0.611346i
$231$	6.68131	+	8.14120i	0.439598	+	0.535651i
$232$	11.7140	+	12.1799i	0.769063	+	0.799650i
$233$	18.2069	−	1.79322i	1.19277	−	0.117478i	0.517919	−	0.855429i	$-0.326707\pi$
$233$	18.2069	−	1.79322i	1.19277	−	0.117478i	0.674854	+	0.737952i	$0.264207\pi$
$234$	0.106162	+	0.552450i	0.00694001	+	0.0361148i
$235$	−9.92689	−	16.5620i	−0.647559	−	1.08039i
$236$	1.09228	+	2.38929i	0.0711012	+	0.155529i
$237$	1.78078	+	1.61400i	0.115674	+	0.104841i
$238$	−3.03757	−	5.14339i	−0.196897	−	0.333397i
$239$	−2.88737	+	0.574334i	−0.186768	+	0.0371506i	−0.287588	−	0.957754i	$-0.592853\pi$
$239$	−2.88737	+	0.574334i	−0.186768	+	0.0371506i	0.100820	+	0.994905i	$0.467853\pi$
$240$	−13.1136	−	0.340965i	−0.846478	−	0.0220092i
$241$	−9.73019	−	1.93545i	−0.626777	−	0.124674i	−0.128525	−	0.991706i	$-0.541024\pi$
$241$	−9.73019	−	1.93545i	−0.626777	−	0.124674i	−0.498251	+	0.867033i	$0.666024\pi$
$242$	−13.9454	+	4.88776i	−0.896446	+	0.314197i
$243$	5.31322	−	14.8494i	0.340843	−	0.952592i
$244$	5.57171	−	11.3948i	0.356692	−	0.729478i
$245$	−7.01556	+	1.04066i	−0.448208	+	0.0664853i
$246$	−6.84768	+	16.2326i	−0.436592	+	1.03495i
$247$	0.0121210	−	0.00647880i	0.000771239	−	0.000412236i
$248$	26.8315	+	7.27967i	1.70380	+	0.462259i
$249$	−1.54692	−	5.09951i	−0.0980320	−	0.323168i
$250$	−0.174988	−	0.590650i	−0.0110672	−	0.0373560i
$251$	−8.09146	−	3.82698i	−0.510728	−	0.241557i	0.154777	−	0.987949i	$-0.450534\pi$
$251$	−8.09146	−	3.82698i	−0.510728	−	0.241557i	−0.665506	+	0.746393i	$0.731784\pi$
$252$	6.35866	+	5.35823i	0.400558	+	0.337537i
$253$	−31.6328	+	7.92361i	−1.98874	+	0.498153i
$254$	−0.856487	−	20.0985i	−0.0537408	−	1.26109i
$255$	6.36145			0.398370
$256$	15.0803	−	5.34649i	0.942518	−	0.334155i
$257$	27.7609			1.73168			0.865840	−	0.500321i	$-0.166785\pi$
$257$	27.7609			1.73168			0.865840	+	0.500321i	$0.166785\pi$
$258$	−0.517643	−	12.1472i	−0.0322271	−	0.756249i
$259$	−21.1140	+	5.28878i	−1.31196	+	0.328629i
$260$	0.843157	−	1.00058i	0.0522904	−	0.0620535i
$261$	10.3124	+	4.87741i	0.638323	+	0.301904i
$262$	0.755834	+	2.55122i	0.0466956	+	0.157615i
$263$	5.85362	+	19.2968i	0.360950	+	1.18989i	0.929991	+	0.367583i	$0.119814\pi$
$263$	5.85362	+	19.2968i	0.360950	+	1.18989i	−0.569041	+	0.822309i	$0.692686\pi$
$264$	11.8687	−	6.80291i	0.730469	−	0.418690i
$265$	8.15880	−	4.36097i	0.501191	−	0.267892i
$266$	0.0789599	−	0.187176i	0.00484134	−	0.0114765i
$267$	0.0688378	−	0.0102111i	0.00421281	−	0.000624911i
$268$	−0.0966938	−	0.0472803i	−0.00590651	−	0.00288810i
$269$	−3.06553	+	8.56759i	−0.186909	+	0.522375i	−0.998046	−	0.0624804i	$-0.980099\pi$
$269$	−3.06553	+	8.56759i	−0.186909	+	0.522375i	0.811137	+	0.584856i	$0.198849\pi$
$270$	−21.4876	+	7.53123i	−1.30769	+	0.458336i
$271$	−28.9259	−	5.75372i	−1.75712	−	0.349514i	−0.791843	−	0.610725i	$-0.790878\pi$
$271$	−28.9259	−	5.75372i	−1.75712	−	0.349514i	−0.965282	+	0.261211i	$0.915878\pi$
$272$	−7.24317	+	2.78193i	−0.439182	+	0.168679i
$273$	0.464663	−	0.0924272i	0.0281227	−	0.00559395i
$274$	−10.2372	−	17.3342i	−0.618450	−	1.04720i
$275$	−16.6819	−	15.1196i	−1.00595	−	0.911744i
$276$	13.3754	−	6.11466i	0.805106	−	0.368059i
$277$	−0.369018	−	0.615670i	−0.0221722	−	0.0369920i	0.846443	−	0.532479i	$-0.178740\pi$
$277$	−0.369018	−	0.615670i	−0.0221722	−	0.0369920i	−0.868615	+	0.495487i	$0.834990\pi$
$278$	3.06028	+	15.9253i	0.183544	+	0.955134i
$279$	18.6773	−	1.83955i	1.11818	−	0.110131i
$280$	0.377045	−	19.3369i	0.0225328	−	1.15560i
$281$	−18.1103	−	22.0674i	−1.08037	−	1.31643i	−0.945520	−	0.325565i	$-0.894445\pi$
$281$	−18.1103	−	22.0674i	−1.08037	−	1.31643i	−0.134848	−	0.990866i	$-0.543055\pi$
$282$	−8.67304	−	2.69261i	−0.516472	−	0.160343i
$283$	−1.86503	+	1.69036i	−0.110864	+	0.100482i	−0.725109	−	0.688634i	$-0.758211\pi$
$283$	−1.86503	+	1.69036i	−0.110864	+	0.100482i	0.614245	+	0.789115i	$0.289461\pi$
$284$	−2.00431	+	4.66634i	−0.118934	+	0.276897i
$285$	0.128878	+	0.173771i	0.00763406	+	0.0102933i
$286$	−0.208986	+	1.34844i	−0.0123576	+	0.0797346i
$287$	−23.9976	−	9.94015i	−1.41654	−	0.586748i
$288$	8.23441	−	6.98965i	0.485217	−	0.411869i
$289$	−12.2297	+	5.06571i	−0.719394	+	0.297983i
$290$	−6.27967	−	25.7795i	−0.368755	−	1.51383i
$291$	−0.00144861	+	0.00976571i	−8.49188e−5	+	0.000572476i
$292$	−3.21983	+	15.1550i	−0.188426	+	0.886879i
$293$	−1.24217	+	25.2850i	−0.0725684	+	1.47716i	0.636092	+	0.771614i	$0.280550\pi$
$293$	−1.24217	+	25.2850i	−0.0725684	+	1.47716i	−0.708660	+	0.705550i	$0.750700\pi$
$294$	−2.13281	+	2.56467i	−0.124388	+	0.149575i
$295$	0.404314	−	4.10507i	0.0235401	−	0.239006i
$296$	2.22218	+	28.1855i	0.129162	+	1.63825i
$297$	15.0636	−	18.3550i	0.874078	−	1.06507i
$298$	11.6393	−	7.66821i	0.674248	−	0.444208i
$299$	−0.356438	+	1.42298i	−0.0206134	+	0.0822931i
$300$	8.64050	+	5.33278i	0.498860	+	0.307888i
$301$	17.9038	−	0.879559i	1.03196	−	0.0506969i
$302$	2.98269	+	21.0493i	0.171635	+	1.21125i
$303$	−12.7593	−	8.52549i	−0.733002	−	0.489777i
$304$	−0.222733	−	0.141497i	−0.0127746	−	0.00811543i
$305$	−16.5593	+	11.0646i	−0.948183	+	0.633555i
$306$	−3.90374	+	3.49221i	−0.223162	+	0.199636i
$307$	24.4019	−	11.5413i	1.39269	−	0.658694i	0.423703	−	0.905801i	$-0.360730\pi$
$307$	24.4019	−	11.5413i	1.39269	−	0.658694i	0.968988	+	0.247107i	$0.0794799\pi$
$308$	10.1434	+	17.4331i	0.577973	+	0.993344i
$309$	−3.44749	+	4.64840i	−0.196121	+	0.264438i
$310$	−30.6654	−	31.0666i	−1.74168	−	1.76446i
$311$	−20.4880	−	6.21496i	−1.16177	−	0.352418i	−0.350198	−	0.936676i	$-0.613886\pi$
$311$	−20.4880	−	6.21496i	−1.16177	−	0.352418i	−0.811568	+	0.584258i	$0.801386\pi$
$312$	−0.0182075	−	0.615122i	−0.00103079	−	0.0348244i
$313$	−7.29116	−	3.89720i	−0.412121	−	0.220283i	0.252289	−	0.967652i	$-0.418817\pi$
$313$	−7.29116	−	3.89720i	−0.412121	−	0.220283i	−0.664409	+	0.747369i	$0.731317\pi$
$314$	13.3214	−	10.7885i	0.751768	−	0.608828i
$315$	−4.39845	−	12.2928i	−0.247824	−	0.692623i
$316$	2.87341	+	3.59555i	0.161642	+	0.202266i
$317$	−1.43406	+	2.39258i	−0.0805448	+	0.134381i	−0.895365	−	0.445333i	$-0.853085\pi$
$317$	−1.43406	+	2.39258i	−0.0805448	+	0.134381i	0.814820	+	0.579713i	$0.196835\pi$
$318$	1.49239	−	4.08702i	0.0836891	−	0.229189i
$319$	19.5659	+	19.5659i	1.09548	+	1.09548i
$320$	−24.6877	−	4.65211i	−1.38008	−	0.260061i
$321$	−9.02477	+	9.02477i	−0.503713	+	0.503713i
$322$	9.14312	+	19.6611i	0.509526	+	1.09567i
$323$	0.109759	+	0.0657871i	0.00610716	+	0.00366049i
$324$	0.360873	−	0.654538i	0.0200485	−	0.0363632i
$325$	−0.953580	+	0.341196i	−0.0528951	+	0.0189262i
$326$	3.93791	+	0.413707i	0.218101	+	0.0229131i
$327$	−4.95720	+	9.27426i	−0.274134	+	0.512868i
$328$	−17.9065	+	28.5958i	−0.988723	+	1.57894i
$329$	3.88667	−	12.8126i	0.214279	−	0.706384i
$330$	−21.4792	−	0.139590i	−1.18239	−	0.00768418i
$331$	27.9021	+	20.6936i	1.53364	+	1.13742i	0.944090	+	0.329688i	$0.106944\pi$
$331$	27.9021	+	20.6936i	1.53364	+	1.13742i	0.589547	+	0.807734i	$0.299306\pi$
$332$	−1.36612	−	10.1136i	−0.0749754	−	0.555056i
$333$	8.16030	+	17.2535i	0.447182	+	0.945486i
$334$	−6.44382	−	0.358557i	−0.352590	−	0.0196193i
$335$	0.0938914	+	0.140518i	0.00512983	+	0.00767734i
$336$	−5.93137	−	6.89632i	−0.323583	−	0.376225i
$337$	−4.29458	+	6.42730i	−0.233941	+	0.350117i	−0.929803	−	0.368058i	$-0.880023\pi$
$337$	−4.29458	+	6.42730i	−0.233941	+	0.350117i	0.695862	+	0.718176i	$0.255023\pi$
$338$	−14.6462	−	11.0106i	−0.796651	−	0.598900i
$339$	−0.910704	−	18.5378i	−0.0494626	−	1.00684i
$340$	12.0266	+	1.94405i	0.652235	+	0.105431i
$341$	44.1583	+	11.0611i	2.39131	+	0.598991i
$342$	−0.174481	−	0.0358867i	−0.00943484	−	0.00194053i
$343$	−15.5842	−	12.7896i	−0.841466	−	0.690574i
$344$	2.73353	−	23.1230i	0.147382	−	1.24671i
$345$	−22.9805	−	2.26338i	−1.23723	−	0.121856i
$346$	2.77659	+	30.2021i	0.149270	+	1.62367i
$347$	13.7477	+	0.675380i	0.738014	+	0.0362563i	0.414603	−	0.910002i	$-0.363920\pi$
$347$	13.7477	+	0.675380i	0.738014	+	0.0362563i	0.323411	+	0.946259i	$0.395170\pi$
$348$	−10.2850	−	7.06726i	−0.551332	−	0.378845i
$349$	−4.20406	−	0.623613i	−0.225038	−	0.0333812i	0.0332591	−	0.999447i	$-0.489411\pi$
$349$	−4.20406	−	0.623613i	−0.225038	−	0.0333812i	−0.258297	+	0.966066i	$0.583161\pi$
$350$	−7.77943	+	12.7900i	−0.415828	+	0.683653i
$351$	−0.408762	−	0.986840i	−0.0218181	−	0.0526736i
$352$	24.5173	−	9.23414i	1.30678	−	0.492182i
$353$	−2.10182	+	5.07424i	−0.111868	+	0.270074i	−0.969892	−	0.243536i	$-0.921692\pi$
$353$	−2.10182	+	5.07424i	−0.111868	+	0.270074i	0.858023	+	0.513611i	$0.171692\pi$
$354$	−1.14552	−	1.56572i	−0.0608836	−	0.0832169i
$355$	6.40482	−	4.75014i	0.339933	−	0.252111i
$356$	0.133262	+	0.00173217i	0.00706286	+	9.18047e-5i
$357$	2.96231	+	3.26841i	0.156782	+	0.172983i
$358$	−0.492030	−	0.935090i	−0.0260046	−	0.0494210i
$359$	−15.2337	+	12.5019i	−0.804001	+	0.659827i	−0.943860	−	0.330345i	$-0.892835\pi$
$359$	−15.2337	+	12.5019i	−0.804001	+	0.659827i	0.139859	+	0.990171i	$0.455335\pi$
$360$	−16.6944	+	2.98364i	−0.879873	+	0.157251i
$361$	−1.86190	−	18.9042i	−0.0979947	−	0.994957i
$362$	−1.72845	−	1.17123i	−0.0908453	−	0.0615586i
$363$	9.35983	−	5.61007i	0.491264	−	0.294452i
$364$	0.906713	−	0.0327374i	0.0475247	−	0.00171590i
$365$	16.3367	−	18.0248i	0.855101	−	0.943459i
$366$	−2.33491	+	9.07098i	−0.122048	+	0.474148i
$367$	−1.63114	−	8.20030i	−0.0851449	−	0.428052i	−0.999721	−	0.0236376i	$-0.992475\pi$
$367$	−1.63114	−	8.20030i	−0.0851449	−	0.428052i	0.914576	−	0.404415i	$-0.132525\pi$
$368$	27.1555	−	7.47253i	1.41558	−	0.389533i
$369$	−4.44343	+	22.3386i	−0.231316	+	1.16290i
$370$	19.2406	−	40.0061i	1.00027	−	2.07982i
$371$	6.03988	+	2.16110i	0.313575	+	0.112199i
$372$	−20.4907	−	1.27380i	−1.06239	−	0.0660434i
$373$	−3.18211	−	21.4521i	−0.164763	−	1.11075i	−0.900936	−	0.433951i	$-0.857119\pi$
$373$	−3.18211	−	21.4521i	−0.164763	−	1.11075i	0.736173	−	0.676794i	$-0.236631\pi$
$374$	−11.7690	+	4.78553i	−0.608562	+	0.247454i
$375$	0.214443	+	0.401195i	0.0110738	+	0.0207176i
$376$	−15.5739	−	7.74099i	−0.803165	−	0.399211i
$377$	1.19113	−	0.361326i	0.0613465	−	0.0186092i
$378$	−13.8755	−	7.53294i	−0.713677	−	0.387452i
$379$	−13.6286	+	28.8153i	−0.700055	+	1.48014i	0.169098	+	0.985599i	$0.445915\pi$
$379$	−13.6286	+	28.8153i	−0.700055	+	1.48014i	−0.869153	+	0.494543i	$0.835335\pi$
$380$	0.190545	+	0.367908i	0.00977475	+	0.0188733i
$381$	3.60957	+	14.4102i	0.184924	+	0.738258i
$382$	1.17672	−	1.28147i	0.0602062	−	0.0655659i
$383$		−	14.7098i		−	0.751637i	−0.926693	−	0.375819i	$-0.877362\pi$
$383$		−	14.7098i		−	0.751637i	0.926693	−	0.375819i	$-0.122638\pi$
$384$	−10.1124	+	6.11070i	−0.516049	+	0.311836i
$385$		−	31.6686i		−	1.61398i
$386$	20.1183	+	18.4737i	1.02399	+	0.940288i
$387$	−3.81918	−	15.2470i	−0.194140	−	0.775049i
$388$	−0.00572305	+	0.0180198i	−0.000290544	+	0.000914819i
$389$	−0.111818	+	0.236420i	−0.00566941	+	0.0119870i	−0.906804	−	0.421552i	$-0.861485\pi$
$389$	−0.111818	+	0.236420i	−0.00566941	+	0.0119870i	0.901135	+	0.433539i	$0.142735\pi$
$390$	−0.461014	+	0.849176i	−0.0233444	+	0.0429997i
$391$	−13.0702	+	3.96479i	−0.660987	+	0.200508i
$392$	−4.81595	+	4.19685i	−0.243242	+	0.211973i
$393$	−0.926253	−	1.73290i	−0.0467233	−	0.0874131i
$394$	8.97439	+	22.0707i	0.452123	+	1.11191i
$395$	−1.06039	−	7.14857i	−0.0533540	−	0.359684i
$396$	13.2575	−	11.7056i	0.666213	−	0.588230i
$397$	12.5342	+	4.48481i	0.629073	+	0.225086i	0.632072	−	0.774910i	$-0.282205\pi$
$397$	12.5342	+	4.48481i	0.629073	+	0.225086i	−0.00299897	+	0.999996i	$0.500955\pi$
$398$	19.3134	+	9.28863i	0.968094	+	0.465597i
$399$	−0.0292669	+	0.147135i	−0.00146518	+	0.00736595i
$400$	14.7056	+	12.7224i	0.735279	+	0.636120i
$401$	1.09658	+	5.51287i	0.0547605	+	0.275300i	0.998458	−	0.0555096i	$-0.0176784\pi$
$401$	1.09658	+	5.51287i	0.0547605	+	0.275300i	−0.943698	+	0.330809i	$0.892678\pi$
$402$	0.0769742	+	0.0198135i	0.00383913	+	0.000988209i
$403$	1.37522	−	1.51732i	0.0685045	−	0.0755831i
$404$	−21.5167	−	20.0171i	−1.07049	−	0.995887i
$405$	−1.00660	+	0.603332i	−0.0500183	+	0.0299798i
$406$	10.3209	−	15.2310i	0.512216	−	0.755904i
$407$	4.53767	+	46.0717i	0.224924	+	2.28369i
$408$	4.82525	−	3.08979i	0.238886	−	0.152967i
$409$	−0.622122	+	0.510562i	−0.0307620	+	0.0252457i	−0.649649	−	0.760235i	$-0.725084\pi$
$409$	−0.622122	+	0.510562i	−0.0307620	+	0.0252457i	0.618887	+	0.785480i	$0.287584\pi$
$410$	46.8818	−	24.6685i	2.31533	−	1.21829i
$411$	9.98354	+	11.0151i	0.492452	+	0.543337i
$412$	−7.93819	+	7.73448i	−0.391087	+	0.381050i
$413$	2.29739	−	1.70386i	0.113047	−	0.0838416i
$414$	15.3447	−	11.2265i	0.754148	−	0.551754i
$415$	−6.13209	+	14.8042i	−0.301012	+	0.726708i
$416$	0.153559	−	1.16848i	0.00752884	−	0.0572895i
$417$	−4.58276	−	11.0638i	−0.224419	−	0.541795i
$418$	−0.369154	−	0.224536i	−0.0180559	−	0.0109824i
$419$	39.9162	+	5.92101i	1.95003	+	0.289260i	0.999755	−	0.0221406i	$-0.00704814\pi$
$419$	39.9162	+	5.92101i	1.95003	+	0.289260i	0.950279	+	0.311401i	$0.100798\pi$
$420$	2.60403	+	14.0428i	0.127063	+	0.685219i
$421$	−8.23136	−	0.404381i	−0.401172	−	0.0197083i	−0.152518	−	0.988301i	$-0.548738\pi$
$421$	−8.23136	−	0.404381i	−0.401172	−	0.0197083i	−0.248654	+	0.968592i	$0.579988\pi$
$422$	−0.176019	+	0.0161821i	−0.00856848	+	0.000787732i
$423$	−11.6839	−	1.15076i	−0.568090	−	0.0559520i
$424$	4.07042	−	7.27063i	0.197677	−	0.353093i
$425$	−7.28928	−	5.98216i	−0.353582	−	0.290177i
$426$	0.755541	−	3.67343i	0.0366061	−	0.177978i
$427$	−13.3959	−	3.35550i	−0.648273	−	0.162384i
$428$	−19.8197	+	14.3038i	−0.958022	+	0.691400i
$429$	−0.0494431	−	1.00644i	−0.00238714	−	0.0485913i
$430$	−21.9685	+	29.2223i	−1.05942	+	1.40922i
$431$	−8.86251	+	13.2637i	−0.426892	+	0.638889i	−0.981103	−	0.193487i	$-0.938020\pi$
$431$	−8.86251	+	13.2637i	−0.426892	+	0.638889i	0.554211	+	0.832376i	$0.313020\pi$
$432$	−12.6407	+	16.1492i	−0.608176	+	0.776978i
$433$	−4.86564	−	7.28195i	−0.233828	−	0.349948i	0.695936	−	0.718103i	$-0.254990\pi$
$433$	−4.86564	−	7.28195i	−0.233828	−	0.349948i	−0.929764	+	0.368155i	$0.879990\pi$
$434$	1.68166	−	30.2220i	0.0807222	−	1.45070i
$435$	8.37742	+	17.7126i	0.401667	+	0.849253i
$436$	−12.2060	+	16.0185i	−0.584563	+	0.767148i
$437$	−0.373094	−	0.276705i	−0.0178475	−	0.0132366i
$438$	0.0743527	−	11.4409i	0.00355271	−	0.546667i
$439$	1.87952	−	6.19595i	0.0897046	−	0.295716i	−0.900596	−	0.434657i	$-0.856870\pi$
$439$	1.87952	−	6.19595i	0.0897046	−	0.295716i	0.990301	+	0.138940i	$0.0443697\pi$
$440$	−40.5648	−	6.82793i	−1.93385	−	0.325509i
$441$	−2.03280	+	3.80311i	−0.0968002	+	0.181100i
$442$	−0.0597134	+	0.568388i	−0.00284028	+	0.0270355i
$443$	22.5729	−	8.07670i	1.07247	−	0.383736i	0.259320	−	0.965791i	$-0.416501\pi$
$443$	22.5729	−	8.07670i	1.07247	−	0.383736i	0.813149	+	0.582056i	$0.197751\pi$
$444$	−5.80051	−	20.0565i	−0.275280	−	0.951840i
$445$	−0.179485	−	0.107579i	−0.00850842	−	0.00509975i
$446$	−24.9742	+	11.6139i	−1.18256	+	0.549935i
$447$	−7.27814	+	7.27814i	−0.344244	+	0.344244i
$448$	−9.10603	−	14.8504i	−0.430219	−	0.701617i
$449$	−24.8720	−	24.8720i	−1.17378	−	1.17378i	−0.981300	−	0.192483i	$-0.938346\pi$
$449$	−24.8720	−	24.8720i	−1.17378	−	1.17378i	−0.192483	−	0.981300i	$-0.561654\pi$
$450$	12.3303	+	4.50246i	0.581256	+	0.212248i
$451$	−28.4020	+	47.3860i	−1.33740	+	2.23132i
$452$	3.94341	−	35.3249i	0.185482	−	1.66154i
$453$	−5.28893	−	14.7816i	−0.248496	−	0.694499i
$454$	−6.52319	−	8.05470i	−0.306148	−	0.378026i
$455$	−1.25638	−	0.671547i	−0.0588998	−	0.0314826i
$456$	0.182157	+	0.0692116i	0.00853029	+	0.00324113i
$457$	−19.7747	−	5.99858i	−0.925020	−	0.280602i	−0.208382	−	0.978047i	$-0.566820\pi$
$457$	−19.7747	−	5.99858i	−0.925020	−	0.280602i	−0.716638	+	0.697446i	$0.754320\pi$
$458$	−22.3755	+	22.0866i	−1.04554	+	1.03204i
$459$	5.92436	−	7.98807i	0.276525	−	0.372851i
$460$	−42.7541	−	11.3019i	−1.99342	−	0.526952i
$461$	15.5665	−	7.36240i	0.725003	−	0.342901i	−0.0291717	−	0.999574i	$-0.509287\pi$
$461$	15.5665	−	7.36240i	0.725003	−	0.342901i	0.754175	+	0.656673i	$0.228037\pi$
$462$	−9.93042	−	11.1007i	−0.462005	−	0.516449i
$463$	−3.99849	+	2.67170i	−0.185825	+	0.124165i	−0.645003	−	0.764180i	$-0.723144\pi$
$463$	−3.99849	+	2.67170i	−0.185825	+	0.124165i	0.459178	+	0.888344i	$0.348144\pi$
$464$	−17.2845	−	16.5041i	−0.802411	−	0.766182i
$465$	26.8026	+	17.9089i	1.24294	+	0.830507i
$466$	−25.6171	+	3.62996i	−1.18669	+	0.168155i
$467$	25.7408	−	1.26457i	1.19114	−	0.0585171i	0.556182	−	0.831061i	$-0.312266\pi$
$467$	25.7408	−	1.26457i	1.19114	−	0.0585171i	0.634962	+	0.772544i	$0.281016\pi$
$468$	−0.183263	−	0.774182i	−0.00847133	−	0.0357866i
$469$	−0.0284740	+	0.113675i	−0.00131481	+	0.00524900i
$470$	15.0232	+	22.8033i	0.692970	+	1.05184i
$471$	−8.03059	+	9.78530i	−0.370030	+	0.450883i
$472$	−1.68717	−	3.31013i	−0.0776585	−	0.152361i
$473$	3.73696	−	37.9420i	0.171825	−	1.74457i
$474$	−2.61330	−	2.17325i	−0.120033	−	0.0998207i
$475$	0.0157358	−	0.320310i	0.000722009	−	0.0146968i
$476$	4.60157	+	7.08436i	0.210913	+	0.324711i
$477$	0.825348	−	5.56405i	0.0377901	−	0.254760i
$478$	4.04507	−	0.985346i	0.185017	−	0.0450687i
$479$	12.9860	−	5.37896i	0.593343	−	0.245771i	−0.0657449	−	0.997836i	$-0.520942\pi$
$479$	12.9860	−	5.37896i	0.593343	−	0.245771i	0.659088	+	0.752066i	$0.270942\pi$
$480$	18.5491	−	0.307825i	0.846648	−	0.0140502i
$481$	1.92401	+	0.796951i	0.0877273	+	0.0363379i
$482$	13.8646	+	2.14880i	0.631516	+	0.0978751i
$483$	−9.53837	−	12.8610i	−0.434011	−	0.585196i
$484$	19.4096	−	7.74574i	0.882256	−	0.352079i
$485$	0.0219961	−	0.0199361i	0.000998790	−	0.000905250i
$486$	−6.61311	+	21.3012i	−0.299977	+	0.966240i
$487$	23.4395	+	28.5611i	1.06215	+	1.29423i	0.953906	+	0.300104i	$0.0970214\pi$
$487$	23.4395	+	28.5611i	1.06215	+	1.29423i	0.108240	+	0.994125i	$0.465479\pi$
$488$	−7.18635	+	16.4356i	−0.325311	+	0.744003i
$489$	−2.90991	+	0.286601i	−0.131591	+	0.0129606i
$490$	9.84984	−	1.89280i	0.444971	−	0.0855078i
$491$	−15.6163	−	26.0541i	−0.704752	−	1.17581i	−0.976930	−	0.213560i	$-0.931494\pi$
$491$	−15.6163	−	26.0541i	−0.704752	−	1.17581i	0.272178	−	0.962247i	$-0.412256\pi$
$492$	8.69792	−	23.3478i	0.392133	−	1.05260i
$493$	8.58712	+	7.78291i	0.386745	+	0.350525i
$494$	−0.0167360	+	0.00988391i	−0.000752989	+	0.000444698i
$495$	−27.2353	+	5.41743i	−1.22413	+	0.243496i
$496$	−38.3493	−	8.67011i	−1.72194	−	0.389299i
$497$	5.42306	+	1.07871i	0.243257	+	0.0483869i
$498$	2.49274	+	7.11211i	0.111702	+	0.318701i
$499$	1.80485	−	5.04421i	0.0807961	−	0.225810i	−0.894352	−	0.447364i	$-0.852363\pi$
$499$	1.80485	−	5.04421i	0.0807961	−	0.225810i	0.975148	+	0.221554i	$0.0711129\pi$
$500$	0.282810	+	0.824012i	0.0126477	+	0.0368509i
$501$	4.71428	−	0.699297i	0.210618	−	0.0312423i
$502$	11.6631	+	4.92006i	0.520550	+	0.219593i
$503$	−9.03334	+	4.82842i	−0.402777	+	0.215289i	−0.660330	−	0.750975i	$-0.729584\pi$
$503$	−9.03334	+	4.82842i	−0.402777	+	0.215289i	0.257553	+	0.966264i	$0.417084\pi$
$504$	−9.30697	−	7.18794i	−0.414566	−	0.320176i
$505$	13.3946	+	44.1561i	0.596052	+	1.96492i
$506$	44.2179	−	13.1002i	1.96573	−	0.582373i
$507$	12.2319	+	5.78528i	0.543240	+	0.256933i
$508$	2.42031	+	28.3463i	0.107384	+	1.25766i
$509$	39.5694	−	9.91161i	1.75388	−	0.439324i	0.773075	−	0.634314i	$-0.218717\pi$
$509$	39.5694	−	9.91161i	1.75388	−	0.439324i	0.980805	+	0.194990i	$0.0624674\pi$
$510$	−8.98829	+	0.383031i	−0.398008	+	0.0169609i
$511$	16.8683			0.746208
$512$	−20.9855	+	8.46222i	−0.927436	+	0.373981i
$513$	0.338227			0.0149331
$514$	−39.2243	+	1.67152i	−1.73011	+	0.0737276i
$515$	16.8806	−	4.22836i	0.743847	−	0.186324i
$516$	1.46279	+	17.1319i	0.0643957	+	0.754191i
$517$	−25.7433	−	12.1757i	−1.13219	−	0.535485i
$518$	29.5142	−	8.74398i	1.29678	−	0.384188i
$519$	−6.50152	−	21.4326i	−0.285385	−	0.940789i
$520$	−1.13108	+	1.46452i	−0.0496010	+	0.0642236i
$521$	21.1700	−	11.3156i	0.927474	−	0.495745i	0.0627708	−	0.998028i	$-0.480006\pi$
$521$	21.1700	−	11.3156i	0.927474	−	0.495745i	0.864704	+	0.502283i	$0.167506\pi$
$522$	−14.8644	−	6.27052i	−0.650598	−	0.274453i
$523$	−14.6171	+	2.16824i	−0.639160	+	0.0948105i	−0.458442	−	0.888724i	$-0.651592\pi$
$523$	−14.6171	+	2.16824i	−0.639160	+	0.0948105i	−0.180718	+	0.983535i	$0.557842\pi$
$524$	−1.22155	−	3.55919i	−0.0533638	−	0.155484i
$525$	3.72424	−	10.4086i	0.162539	−	0.454267i
$526$	−9.43264	−	26.9126i	−0.411283	−	1.17344i
$527$	18.7001	+	3.71969i	0.814590	+	0.162032i
$528$	−16.3601	+	10.3267i	−0.711981	+	0.449411i
$529$	26.0681	−	5.18527i	1.13340	−	0.225447i
$530$	−11.2652	+	6.65300i	−0.489331	+	0.288988i
$531$	−1.85835	−	1.68431i	−0.0806453	−	0.0730927i
$532$	−0.100295	+	0.269221i	−0.00434833	+	0.0116722i
$533$	1.27765	+	2.13163i	0.0553410	+	0.0923310i
$534$	−0.0966483	+	0.0185724i	−0.00418238	+	0.000803708i
$535$	38.1927	−	3.76165i	1.65121	−	0.162630i
$536$	0.139468	+	0.0609817i	0.00602412	+	0.00263401i
$537$	0.495007	+	0.603168i	0.0213611	+	0.0260286i
$538$	3.81552	−	12.2900i	0.164499	−	0.529860i
$539$	−7.75024	+	7.02441i	−0.333827	+	0.302563i
$540$	29.9070	−	11.9349i	1.28699	−	0.513596i
$541$	2.48198	+	3.34657i	0.106709	+	0.143880i	0.853334	−	0.521365i	$-0.174577\pi$
$541$	2.48198	+	3.34657i	0.106709	+	0.143880i	−0.746625	+	0.665245i	$0.768327\pi$
$542$	41.2168	+	6.38795i	1.77041	+	0.274386i
$543$	1.42446	+	0.590032i	0.0611296	+	0.0253207i
$544$	10.0666	−	4.36680i	0.431602	−	0.187225i
$545$	29.2140	−	12.1008i	1.25139	−	0.518342i
$546$	−0.650972	+	0.158571i	−0.0278590	+	0.00678622i
$547$	−0.0244256	+	0.164664i	−0.00104436	+	0.00704053i	−0.989692	−	0.143209i	$-0.954258\pi$
$547$	−0.0244256	+	0.164664i	−0.00104436	+	0.00704053i	0.988648	+	0.150250i	$0.0480078\pi$
$548$	15.5081	+	23.8756i	0.662475	+	1.01992i
$549$	−0.594171	+	12.0946i	−0.0253586	+	0.516186i
$550$	24.4807	+	20.3585i	1.04386	+	0.868088i
$551$	−0.0386327	+	0.392244i	−0.00164581	+	0.0167102i
$552$	−18.5304	+	9.44494i	−0.788706	+	0.402003i
$553$	3.17903	−	3.87366i	0.135186	−	0.164725i
$554$	0.558468	+	0.847680i	0.0237270	+	0.0360145i
$555$	−7.96537	+	31.7995i	−0.338111	+	1.34982i
$556$	−5.28285	−	22.3171i	−0.224043	−	0.946454i
$557$	9.24983	−	0.454415i	0.391928	−	0.0192542i	0.147850	−	0.989010i	$-0.452765\pi$
$557$	9.24983	−	0.454415i	0.391928	−	0.0192542i	0.244078	+	0.969756i	$0.421515\pi$
$558$	−26.2789	+	3.72374i	−1.11248	+	0.157638i
$559$	−1.42601	−	0.952832i	−0.0603140	−	0.0403005i
$560$	0.631559	+	27.3444i	0.0266882	+	1.15551i
$561$	7.80081	−	5.21234i	0.329351	−	0.220065i
$562$	26.9173	+	30.0893i	1.13544	+	1.26924i
$563$	23.5497	−	11.1382i	0.992501	−	0.469418i	0.138878	−	0.990310i	$-0.455650\pi$
$563$	23.5497	−	11.1382i	0.992501	−	0.469418i	0.853623	+	0.520892i	$0.174400\pi$
$564$	12.4165	+	3.28226i	0.522831	+	0.138208i
$565$	−33.2456	+	44.8265i	−1.39865	+	1.88587i
$566$	2.53338	−	2.50066i	0.106486	−	0.105111i
$567$	−0.778721	−	0.236222i	−0.0327032	−	0.00992041i
$568$	2.55098	−	6.71391i	0.107037	−	0.281709i
$569$	−29.3095	−	15.6662i	−1.22872	−	0.656763i	−0.276157	−	0.961113i	$-0.589061\pi$
$569$	−29.3095	−	15.6662i	−1.22872	−	0.656763i	−0.952560	+	0.304350i	$0.901561\pi$
$570$	−0.192558	−	0.237767i	−0.00806538	−	0.00995897i
$571$	−4.64555	−	12.9834i	−0.194410	−	0.543340i	0.804294	−	0.594232i	$-0.202544\pi$
$571$	−4.64555	−	12.9834i	−0.194410	−	0.543340i	−0.998704	+	0.0508914i	$0.983794\pi$
$572$	0.214092	−	1.91783i	0.00895165	−	0.0801885i
$573$	−0.660498	+	1.10197i	−0.0275927	+	0.0460356i
$574$	34.5055	+	12.5998i	1.44023	+	0.525906i
$575$	24.2038	+	24.2038i	1.00937	+	1.00937i
$576$	−11.2138	+	10.3717i	−0.467241	+	0.432154i
$577$	8.00818	−	8.00818i	0.333385	−	0.333385i	−0.520486	−	0.853870i	$-0.674249\pi$
$577$	8.00818	−	8.00818i	0.333385	−	0.333385i	0.853870	+	0.520486i	$0.174249\pi$
$578$	16.9747	−	7.89386i	0.706055	−	0.328341i
$579$	−17.3003	−	10.3694i	−0.718975	−	0.430937i
$580$	10.4250	+	36.0466i	0.432873	+	1.49675i
$581$	−10.4616	+	3.74324i	−0.434022	+	0.155296i
$582$	0.00145878	−	0.0138855i	6.04682e−5	−	0.000575572i
$583$	6.43162	−	12.0327i	0.266371	−	0.498344i
$584$	3.63690	−	21.6068i	0.150496	−	0.894097i
$585$	−0.362613	+	1.19537i	−0.0149922	+	0.0494227i
$586$	0.232663	−	35.8007i	0.00961124	−	1.47891i
$587$	1.61745	+	1.19958i	0.0667591	+	0.0495119i	0.628564	−	0.777758i	$-0.283643\pi$
$587$	1.61745	+	1.19958i	0.0667591	+	0.0495119i	−0.561805	+	0.827270i	$0.689893\pi$
$588$	2.85910	−	3.75212i	0.117907	−	0.154735i
$589$	0.277241	+	0.586176i	0.0114235	+	0.0241530i
$590$	−0.324097	+	5.82452i	−0.0133428	+	0.239792i
$591$	−9.77480	−	14.6290i	−0.402081	−	0.601757i
$592$	−4.83688	−	39.6904i	−0.198794	−	1.63127i
$593$	−17.8365	+	26.6941i	−0.732455	+	1.09620i	0.259016	+	0.965873i	$0.416602\pi$
$593$	−17.8365	+	26.6941i	−0.732455	+	1.09620i	−0.991471	+	0.130324i	$0.958398\pi$
$594$	−20.1786	+	26.8414i	−0.827940	+	1.10132i
$595$	−0.650830	−	13.2480i	−0.0266814	−	0.543113i
$596$	−15.9839	+	11.5355i	−0.654725	+	0.472511i
$597$	−15.3516	−	3.84538i	−0.628299	−	0.157381i
$598$	0.417943	−	2.03204i	0.0170910	−	0.0830961i
$599$	8.96268	+	7.35548i	0.366205	+	0.300537i	0.799442	−	0.600743i	$-0.205129\pi$
$599$	8.96268	+	7.35548i	0.366205	+	0.300537i	−0.433237	+	0.901280i	$0.642629\pi$
$600$	−12.5295	−	7.01459i	−0.511516	−	0.286369i
$601$	48.1260	+	4.74000i	1.96310	+	0.193349i	0.997720	−	0.0674948i	$-0.0215006\pi$
$601$	48.1260	+	4.74000i	1.96310	+	0.193349i	0.965381	+	0.260843i	$0.0840006\pi$
$602$	−25.2439	+	2.32077i	−1.02887	+	0.0945874i
$603$	0.102632	+	0.00504200i	0.00417951	+	0.000205326i
$604$	−5.48174	−	29.5616i	−0.223049	−	1.20284i
$605$	−32.4577	−	4.81464i	−1.31959	−	0.195743i
$606$	18.5413	+	11.2777i	0.753190	+	0.458124i
$607$	−1.41629	−	3.41923i	−0.0574855	−	0.138782i	0.892527	−	0.450994i	$-0.148930\pi$
$607$	−1.41629	−	3.41923i	−0.0574855	−	0.138782i	−0.950013	+	0.312211i	$0.898930\pi$
$608$	0.323226	+	0.186515i	0.0131085	+	0.00756418i
$609$	−5.19934	+	12.5523i	−0.210688	+	0.508646i
$610$	22.7309	−	16.6305i	0.920349	−	0.673351i
$611$	−1.02894	+	0.763113i	−0.0416264	+	0.0308722i
$612$	5.30545	−	5.16930i	0.214460	−	0.208956i
$613$	27.9993	+	30.8925i	1.13088	+	1.24774i	0.965188	+	0.261559i	$0.0842365\pi$
$613$	27.9993	+	30.8925i	1.13088	+	1.24774i	0.165694	+	0.986177i	$0.447013\pi$
$614$	−33.7833	+	17.7763i	−1.36338	+	0.717392i
$615$	−30.2405	+	24.8178i	−1.21942	+	1.00075i
$616$	−15.3816	−	24.0211i	−0.619741	−	0.967836i
$617$	3.49920	+	35.5280i	0.140873	+	1.43030i	0.762499	+	0.646989i	$0.223972\pi$
$617$	3.49920	+	35.5280i	0.140873	+	1.43030i	−0.621627	+	0.783314i	$0.713528\pi$
$618$	4.59118	−	6.77545i	0.184684	−	0.272549i
$619$	6.21744	−	3.72659i	0.249900	−	0.149784i	−0.383668	−	0.923471i	$-0.625339\pi$
$619$	6.21744	−	3.72659i	0.249900	−	0.149784i	0.633569	+	0.773687i	$0.281589\pi$
$620$	45.1986	+	42.0485i	1.81522	+	1.68871i
$621$	−24.2437	+	26.7488i	−0.972864	+	1.07339i
$622$	29.3223	+	7.54770i	1.17572	+	0.302635i
$623$	−0.0283077	−	0.142313i	−0.00113413	−	0.00570164i
$624$	0.0627632	+	0.868029i	0.00251254	+	0.0347490i
$625$	5.00881	−	25.1810i	0.200352	−	1.00724i
$626$	10.5366	+	5.06747i	0.421126	+	0.202537i
$627$	0.300420	+	0.107492i	0.0119976	+	0.00429281i
$628$	−18.1726	+	16.0454i	−0.725165	+	0.640283i
$629$	2.84509	+	19.1800i	0.113441	+	0.764757i
$630$	6.95487	+	17.1041i	0.277089	+	0.681443i
$631$	−21.3405	−	39.9252i	−0.849550	−	1.58940i	−0.807188	−	0.590295i	$-0.799012\pi$
$631$	−21.3405	−	39.9252i	−0.849550	−	1.58940i	−0.0423624	−	0.999102i	$-0.513488\pi$
$632$	−4.27642	−	4.90726i	−0.170107	−	0.195200i
$633$	0.124910	−	0.0378912i	0.00496474	−	0.00150604i
$634$	1.88217	−	3.46690i	0.0747504	−	0.137688i
$635$	19.0986	−	40.3807i	0.757906	−	1.60246i
$636$	−1.86256	+	5.86453i	−0.0738553	+	0.232544i
$637$	0.114329	+	0.456429i	0.00452990	+	0.0180844i
$638$	−28.8233	−	26.4671i	−1.14113	−	1.04784i
$639$		−	4.84842i		−	0.191800i
$640$	35.1621	+	5.08664i	1.38990	+	0.201067i
$641$		−	25.0981i		−	0.991315i	−0.868518	−	0.495658i	$-0.834927\pi$
$641$		−	25.0981i		−	0.991315i	0.868518	−	0.495658i	$-0.165073\pi$
$642$	12.2080	−	13.2948i	0.481811	−	0.524703i
$643$	6.58687	+	26.2963i	0.259761	+	1.03702i	0.949701	+	0.313157i	$0.101387\pi$
$643$	6.58687	+	26.2963i	0.259761	+	1.03702i	−0.689941	+	0.723866i	$0.742363\pi$
$644$	−14.1024	−	27.2292i	−0.555713	−	1.07298i
$645$	11.5428	−	24.4053i	0.454498	−	0.960956i
$646$	−0.159043	−	0.0863439i	−0.00625747	−	0.00339715i
$647$	−2.48183	+	0.752856i	−0.0975710	+	0.0295978i	−0.338693	−	0.940897i	$-0.609985\pi$
$647$	−2.48183	+	0.752856i	−0.0975710	+	0.0295978i	0.241122	+	0.970495i	$0.422485\pi$
$648$	−0.470478	+	0.946546i	−0.0184821	+	0.0371838i
$649$	−2.86774	−	5.36517i	−0.112569	−	0.210601i
$650$	1.32680	−	0.539503i	0.0520413	−	0.0211611i
$651$	3.27976	+	22.1103i	0.128544	+	0.866572i
$652$	−5.58891	−	0.347434i	−0.218879	−	0.0136065i
$653$	30.3253	+	10.8506i	1.18672	+	0.424615i	0.854932	−	0.518739i	$-0.173598\pi$
$653$	30.3253	+	10.8506i	1.18672	+	0.424615i	0.331787	+	0.943354i	$0.392348\pi$
$654$	6.44576	−	13.4024i	0.252049	−	0.524074i
$655$	−1.15267	+	5.79485i	−0.0450385	+	0.226424i
$656$	23.5789	−	41.4821i	0.920602	−	1.61960i
$657$	−2.88560	−	14.5069i	−0.112578	−	0.565967i
$658$	−4.72014	+	18.3374i	−0.184010	+	0.714867i
$659$	−31.6522	+	34.9228i	−1.23299	+	1.36040i	−0.322663	+	0.946514i	$0.604578\pi$
$659$	−31.6522	+	34.9228i	−1.23299	+	1.36040i	−0.910330	+	0.413884i	$0.864172\pi$
$660$	30.3570	−	1.09606i	1.18165	−	0.0426640i
$661$	−2.67893	+	1.60569i	−0.104198	+	0.0624540i	−0.565253	−	0.824918i	$-0.691221\pi$
$661$	−2.67893	+	1.60569i	−0.104198	+	0.0624540i	0.461054	+	0.887372i	$0.347471\pi$
$662$	−40.6697	−	27.5586i	−1.58067	−	1.07110i
$663$	−0.0413673	−	0.420009i	−0.00160657	−	0.0163118i
$664$	2.53918	+	14.2076i	0.0985394	+	0.551360i
$665$	0.348700	−	0.286171i	0.0135220	−	0.0110972i
$666$	−12.5688	−	23.8867i	−0.487031	−	0.925590i
$667$	−28.2515	−	31.1708i	−1.09390	−	1.20694i
$668$	9.12627	+	0.118625i	0.353106	+	0.00458976i
$669$	16.3365	−	12.1160i	0.631606	−	0.468431i
$670$	−0.141123	−	0.192890i	−0.00545205	−	0.00745197i
$671$	−11.2402	+	27.1361i	−0.433922	+	1.04758i
$672$	8.79586	+	9.38689i	0.339308	+	0.362107i
$673$	0.313358	+	0.756514i	0.0120791	+	0.0291615i	0.929804	−	0.368055i	$-0.119976\pi$
$673$	0.313358	+	0.756514i	0.0120791	+	0.0291615i	−0.917725	+	0.397217i	$0.869976\pi$
$674$	5.68096	−	9.33992i	0.218822	−	0.359760i
$675$	−24.6542	−	3.65711i	−0.948941	−	0.140762i
$676$	21.3571	+	14.6754i	0.821427	+	0.564439i
$677$	7.75764	+	0.381108i	0.298150	+	0.0146472i	0.197593	−	0.980284i	$-0.436687\pi$
$677$	7.75764	+	0.381108i	0.298150	+	0.0146472i	0.100557	+	0.994931i	$0.467937\pi$
$678$	2.40295	+	26.1378i	0.0922846	+	1.00382i
$679$	0.0204857	+	0.00201766i	0.000786167	+	7.74307e-5i
$680$	−17.1098	−	2.02268i	−0.656133	−	0.0775662i
$681$	5.91664	+	4.85566i	0.226726	+	0.186069i
$682$	−63.0586	−	12.9697i	−2.41464	−	0.496636i
$683$	−29.0710	−	7.28190i	−1.11237	−	0.278634i	−0.357112	−	0.934062i	$-0.616239\pi$
$683$	−29.0710	−	7.28190i	−1.11237	−	0.278634i	−0.755258	+	0.655427i	$0.772489\pi$
$684$	0.248690	+	0.0401997i	0.00950890	+	0.00153708i
$685$	−2.19342	−	44.6480i	−0.0838062	−	1.70591i
$686$	22.7894	+	17.1325i	0.870105	+	0.654121i
$687$	12.8988	−	19.3044i	0.492120	−	0.736510i
$688$	−2.47003	+	32.8357i	−0.0941690	+	1.25185i
$689$	−0.340984	−	0.510319i	−0.0129905	−	0.0194416i
$690$	32.6062	+	1.81432i	1.24130	+	0.0690700i
$691$	19.3485	+	40.9089i	0.736051	+	1.55625i	0.828155	+	0.560499i	$0.189391\pi$
$691$	19.3485	+	40.9089i	0.736051	+	1.55625i	−0.0921040	+	0.995749i	$0.529359\pi$
$692$	−5.74163	−	42.5063i	−0.218264	−	1.61585i
$693$	−15.4659	−	11.4703i	−0.587503	−	0.435722i
$694$	−19.4652	−	0.126501i	−0.738888	−	0.00480192i
$695$	−10.4529	+	34.4586i	−0.396501	+	1.30709i
$696$	14.9575	+	9.36628i	0.566962	+	0.355028i
$697$	−10.9076	+	20.4067i	−0.413156	+	0.772960i
$698$	5.97759	+	0.627991i	0.226255	+	0.0237698i
$699$	17.9893	−	6.43667i	0.680417	−	0.243457i
$700$	10.2217	−	18.5398i	0.386344	−	0.700737i
$701$	−28.3294	−	16.9800i	−1.06999	−	0.641325i	−0.133151	−	0.991096i	$-0.542510\pi$
$701$	−28.3294	−	16.9800i	−1.06999	−	0.641325i	−0.936835	+	0.349771i	$0.886260\pi$
$702$	0.636972	+	1.36972i	0.0240410	+	0.0516969i
$703$	−0.466288	+	0.466288i	−0.0175864	+	0.0175864i
$704$	−34.0853	+	14.5234i	−1.28464	+	0.547372i
$705$	−14.2590	−	14.2590i	−0.537026	−	0.537026i
$706$	2.66420	−	7.29610i	0.100268	−	0.274592i
$707$	−16.4493	+	27.4439i	−0.618638	+	1.03214i
$708$	1.71281	+	2.14328i	0.0643714	+	0.0805492i
$709$	−12.7501	−	35.6341i	−0.478840	−	1.33827i	−0.901813	−	0.432126i	$-0.857764\pi$
$709$	−12.7501	−	35.6341i	−0.478840	−	1.33827i	0.422973	−	0.906142i	$-0.360986\pi$
$710$	−8.76357	+	7.09727i	−0.328891	+	0.266356i
$711$	−3.87521	−	2.07134i	−0.145332	−	0.0776815i
$712$	−0.188394	+	0.00557641i	−0.00706036	+	0.000208985i
$713$	−66.2301	−	20.0907i	−2.48034	−	0.752402i
$714$	−4.38234	−	4.43967i	−0.164005	−	0.166151i
$715$	−1.80494	+	2.43368i	−0.0675010	+	0.0910146i
$716$	0.751507	+	1.29159i	0.0280851	+	0.0482690i
$717$	−2.77929	+	1.31450i	−0.103794	+	0.0490911i
$718$	20.7713	−	18.5816i	0.775180	−	0.693459i
$719$	0.0257494	−	0.0172052i	0.000960291	−	0.000641646i	−0.555090	−	0.831790i	$-0.687316\pi$
$719$	0.0257494	−	0.0172052i	0.000960291	−	0.000641646i	0.556050	+	0.831149i	$0.312316\pi$
$720$	23.4084	−	5.22086i	0.872381	−	0.194570i
$721$	10.0332	+	6.70396i	0.373655	+	0.249668i
$722$	3.76898	+	26.5982i	0.140267	+	0.989882i
$723$	−10.3482	+	0.508375i	−0.384854	+	0.0189067i
$724$	2.51270	+	1.55080i	0.0933838	+	0.0576350i
$725$	7.05720	−	28.1739i	0.262098	−	1.04635i
$726$	−12.8870	+	8.49020i	−0.478282	+	0.315101i
$727$	26.5295	−	32.3263i	0.983926	−	1.19892i	0.00391068	−	0.999992i	$-0.498755\pi$
$727$	26.5295	−	32.3263i	0.983926	−	1.19892i	0.980015	−	0.198924i	$-0.0637448\pi$
$728$	−1.27915	+	0.100850i	−0.0474085	+	0.00373775i
$729$	1.50452	−	15.2756i	0.0557228	−	0.565763i
$730$	−21.9973	+	26.4514i	−0.814157	+	0.979010i
$731$	0.783530	−	15.9491i	0.0289799	−	0.589899i
$732$	2.75290	−	12.9573i	0.101750	−	0.478914i
$733$	0.742695	−	5.00684i	0.0274321	−	0.184932i	−0.971129	−	0.238554i	$-0.923327\pi$
$733$	0.742695	−	5.00684i	0.0274321	−	0.184932i	0.998561	+	0.0536221i	$0.0170766\pi$
$734$	2.79844	+	11.4883i	0.103292	+	0.424039i
$735$	−6.84298	+	2.83445i	−0.252407	+	0.104550i
$736$	−37.9190	+	12.1932i	−1.39771	+	0.449449i
$737$	0.230271	+	0.0953814i	0.00848214	+	0.00351342i
$738$	4.93323	−	31.8305i	0.181595	−	1.17170i
$739$	14.3014	+	19.2832i	0.526086	+	0.709345i	0.983702	−	0.179805i	$-0.0575467\pi$
$739$	14.3014	+	19.2832i	0.526086	+	0.709345i	−0.457616	+	0.889150i	$0.651297\pi$
$740$	−24.7768	+	57.6843i	−0.910814	+	2.12052i
$741$	0.0106350	−	0.00963903i	0.000390688	−	0.000354099i
$742$	−8.66405	−	2.68982i	−0.318067	−	0.0987464i
$743$	−1.63323	−	1.99009i	−0.0599173	−	0.0730094i	0.742189	−	0.670190i	$-0.233787\pi$
$743$	−1.63323	−	1.99009i	−0.0599173	−	0.0730094i	−0.802107	+	0.597181i	$0.796287\pi$
$744$	29.0286	+	0.566021i	1.06424	+	0.0207514i
$745$	30.8010	−	3.03363i	1.12846	−	0.111144i
$746$	5.78776	+	30.1187i	0.211905	+	1.10272i
$747$	5.00886	+	8.35678i	0.183265	+	0.305759i
$748$	16.3407	−	7.47025i	0.597475	−	0.273139i
$749$	19.7177	+	17.8711i	0.720470	+	0.652996i
$750$	−0.327150	−	0.553949i	−0.0119458	−	0.0202274i
$751$	25.8975	−	5.15134i	0.945015	−	0.187975i	0.301550	−	0.953451i	$-0.402496\pi$
$751$	25.8975	−	5.15134i	0.945015	−	0.187975i	0.643465	+	0.765475i	$0.277496\pi$
$752$	22.4710	+	9.99975i	0.819433	+	0.364654i
$753$	−9.16809	−	1.82365i	−0.334104	−	0.0664574i
$754$	−1.66123	+	0.582249i	−0.0604985	+	0.0212042i
$755$	−15.9035	+	44.4474i	−0.578789	+	1.61761i
$756$	20.0587	+	9.80806i	0.729526	+	0.356716i
$757$	−2.62812	+	0.389844i	−0.0955205	+	0.0141691i	−0.194320	−	0.980938i	$-0.562250\pi$
$757$	−2.62812	+	0.389844i	−0.0955205	+	0.0141691i	0.0987991	+	0.995107i	$0.468500\pi$
$758$	17.5213	−	41.5346i	0.636402	−	1.50861i
$759$	−30.0347	+	16.0539i	−1.09019	+	0.582719i
$760$	−0.291379	−	0.508356i	−0.0105694	−	0.0184400i
$761$	−5.12255	−	16.8868i	−0.185692	−	0.612145i	−0.999518	−	0.0310367i	$-0.990119\pi$
$761$	−5.12255	−	16.8868i	−0.185692	−	0.612145i	0.813826	−	0.581109i	$-0.197381\pi$
$762$	−5.96773	−	20.1433i	−0.216188	−	0.729715i
$763$	19.8212	+	9.37471i	0.717574	+	0.339387i
$764$	−1.58547	+	1.88149i	−0.0573601	+	0.0680698i
$765$	−11.2820	+	2.82600i	−0.407903	+	0.102174i
$766$	0.885697	+	20.7840i	0.0320015	+	0.750956i
$767$	−0.273662			−0.00988138
$768$	13.9203	−	9.24289i	0.502304	−	0.333524i
$769$	17.4503			0.629273			0.314637	−	0.949212i	$-0.398117\pi$
$769$	17.4503			0.629273			0.314637	+	0.949212i	$0.398117\pi$
$770$	1.90680	+	44.7455i	0.0687164	+	1.61252i
$771$	28.1230	−	7.04444i	1.01282	−	0.253699i
$772$	−29.5381	−	24.8908i	−1.06310	−	0.895838i
$773$	−6.90075	−	3.26381i	−0.248203	−	0.117391i	0.299406	−	0.954126i	$-0.403212\pi$
$773$	−6.90075	−	3.26381i	−0.248203	−	0.117391i	−0.547608	+	0.836735i	$0.684462\pi$
$774$	6.31428	+	21.3130i	0.226962	+	0.766081i
$775$	−13.8707	−	45.7255i	−0.498250	−	1.64251i
$776$	0.00700128	−	0.0258054i	0.000251331	−	0.000926360i
$777$	−20.0473	+	10.7155i	−0.719192	+	0.384416i
$778$	0.143756	−	0.340778i	0.00515392	−	0.0122175i
$779$	−0.778417	+	0.115467i	−0.0278897	+	0.00413704i
$780$	0.600251	−	1.22759i	0.0214925	−	0.0439546i
$781$	3.96191	−	11.0728i	0.141768	−	0.396216i
$782$	18.2285	−	6.38895i	0.651850	−	0.228468i
$783$	30.0435	+	5.97602i	1.07367	+	0.213565i
$784$	6.55191	−	6.21983i	0.233997	−	0.222137i
$785$	37.3326	−	7.42592i	1.33246	−	0.265042i
$786$	1.41307	+	2.39269i	0.0504026	+	0.0853446i
$787$	−27.7916	−	25.1889i	−0.990665	−	0.897886i	0.00410856	−	0.999992i	$-0.498692\pi$
$787$	−27.7916	−	25.1889i	−0.990665	−	0.897886i	−0.994774	+	0.102105i	$0.967442\pi$
$788$	−14.0091	−	30.6440i	−0.499054	−	1.09165i
$789$	10.8266	+	18.0631i	0.385437	+	0.643062i
$790$	1.92868	+	10.0366i	0.0686194	+	0.357086i
$791$	−38.5125	+	3.79315i	−1.36935	+	0.134869i
$792$	−18.0271	+	17.3375i	−0.640564	+	0.616062i
$793$	0.838210	+	1.02136i	0.0297657	+	0.0362696i
$794$	−17.9800	−	5.58202i	−0.638086	−	0.198099i
$795$	7.15859	−	6.48817i	0.253889	−	0.230112i
$796$	−27.8478	−	11.9613i	−0.987039	−	0.423957i
$797$	−25.8294	−	34.8269i	−0.914925	−	1.23363i	−0.971932	−	0.235260i	$-0.924406\pi$
$797$	−25.8294	−	34.8269i	−0.914925	−	1.23363i	0.0570072	−	0.998374i	$-0.481844\pi$
$798$	0.0324930	−	0.209653i	0.00115024	−	0.00742165i
$799$	−11.0194	−	4.56441i	−0.389840	−	0.161477i
$800$	−21.5440	−	17.0904i	−0.761696	−	0.604238i
$801$	−0.117548	+	0.0486899i	−0.00415335	+	0.00172037i
$802$	−1.88133	−	7.72328i	−0.0664319	−	0.272718i
$803$	5.26426	−	35.4888i	0.185772	−	1.25237i
$804$	−0.109952	−	0.0233605i	−0.00387772	−	0.000823860i
$805$	−2.36248	+	48.0893i	−0.0832664	+	1.69493i
$806$	−1.85173	+	2.22667i	−0.0652244	+	0.0784312i
$807$	−0.931454	+	9.45722i	−0.0327887	+	0.332910i
$808$	31.6068	+	26.9872i	1.11192	+	0.949406i
$809$	−29.5746	+	36.0367i	−1.03979	+	1.26698i	−0.0769109	+	0.997038i	$0.524506\pi$
$809$	−29.5746	+	36.0367i	−1.03979	+	1.26698i	−0.962876	+	0.269946i	$0.912994\pi$
$810$	1.38593	−	0.913075i	0.0486965	−	0.0320822i
$811$	2.30591	−	9.20571i	0.0809715	−	0.323256i	−0.915985	−	0.401212i	$-0.868589\pi$
$811$	2.30591	−	9.20571i	0.0809715	−	0.323256i	0.996957	+	0.0779555i	$0.0248392\pi$
$812$	−13.6656	+	22.1419i	−0.479568	+	0.777027i
$813$	−30.7632	+	1.51130i	−1.07891	+	0.0530035i
$814$	−9.18545	−	64.8230i	−0.321950	−	2.27204i
$815$	7.31051	+	4.88473i	0.256076	+	0.171105i
$816$	−6.63171	+	4.65619i	−0.232156	+	0.162999i
$817$	0.451545	−	0.301713i	0.0157976	−	0.0105556i
$818$	0.848274	−	0.758848i	0.0296592	−	0.0265325i
$819$	−0.783021	+	0.370341i	−0.0273610	+	0.0129408i
$820$	−64.7554	+	37.6777i	−2.26136	+	1.31576i
$821$	−29.1031	+	39.2410i	−1.01571	+	1.36952i	−0.0880381	+	0.996117i	$0.528060\pi$
$821$	−29.1031	+	39.2410i	−1.01571	+	1.36952i	−0.927669	+	0.373405i	$0.878190\pi$
$822$	−14.7693	−	14.9625i	−0.515138	−	0.521878i
$823$	−5.04725	−	1.53107i	−0.175936	−	0.0533697i	0.201087	−	0.979573i	$-0.435552\pi$
$823$	−5.04725	−	1.53107i	−0.175936	−	0.0533697i	−0.377024	+	0.926204i	$0.623052\pi$
$824$	10.7504	−	11.4063i	0.374509	−	0.397356i
$825$	−20.7361	−	11.0837i	−0.721937	−	0.385883i
$826$	−3.14347	+	2.54577i	−0.109375	+	0.0885786i
$827$	−14.2935	−	39.9477i	−0.497035	−	1.38912i	−0.884200	−	0.467108i	$-0.845296\pi$
$827$	−14.2935	−	39.9477i	−0.497035	−	1.38912i	0.387165	−	0.922010i	$-0.373454\pi$
$828$	−21.0050	+	16.7862i	−0.729973	+	0.583362i
$829$	−12.1352	+	20.2463i	−0.421472	+	0.703183i	−0.993092	−	0.117335i	$-0.962565\pi$
$829$	−12.1352	+	20.2463i	−0.421472	+	0.703183i	0.571621	+	0.820518i	$0.306315\pi$
$830$	7.77284	−	21.2865i	0.269799	−	0.738865i
$831$	−0.530059	−	0.530059i	−0.0183875	−	0.0183875i
$832$	−0.146612	+	1.66023i	−0.00508287	+	0.0575581i
$833$	−3.09781	+	3.09781i	−0.107333	+	0.107333i
$834$	7.14129	+	15.3564i	0.247283	+	0.531749i
$835$	−12.2918	−	7.36744i	−0.425376	−	0.254961i
$836$	0.535108	+	0.295027i	0.0185071	+	0.0102037i
$837$	47.4492	−	16.9776i	1.64008	−	0.586832i
$838$	−56.7553	−	5.96257i	−1.96058	−	0.205974i
$839$	3.06750	−	5.73889i	0.105902	−	0.198129i	−0.823389	−	0.567478i	$-0.807919\pi$
$839$	3.06750	−	5.73889i	0.105902	−	0.198129i	0.929291	+	0.369349i	$0.120419\pi$
$840$	−4.52484	−	19.6847i	−0.156122	−	0.679188i
$841$	−1.94376	+	6.40772i	−0.0670262	+	0.220956i
$842$	11.6547	+	0.0757421i	0.401647	+	0.00261024i
$843$	−23.9461	−	17.7597i	−0.824748	−	0.611675i
$844$	0.247729	−	0.0334625i	0.00852717	−	0.00115183i
$845$	−17.3960	−	36.7808i	−0.598441	−	1.26530i
$846$	16.5778	+	0.922447i	0.569957	+	0.0317144i
$847$	−12.6408	−	18.9182i	−0.434342	−	0.650038i
$848$	−5.31346	+	10.5180i	−0.182465	+	0.361189i
$849$	−1.46041	+	2.18566i	−0.0501213	+	0.0750118i
$850$	10.6594	+	8.01348i	0.365616	+	0.274860i
$851$	−3.45359	−	70.2994i	−0.118387	−	2.40983i
$852$	−0.846345	+	5.23580i	−0.0289953	+	0.179376i
$853$	−1.69071	−	0.423501i	−0.0578888	−	0.0145004i	0.213928	−	0.976850i	$-0.431374\pi$
$853$	−1.69071	−	0.423501i	−0.0578888	−	0.0145004i	−0.271816	+	0.962349i	$0.587624\pi$
$854$	19.1295	+	3.93451i	0.654599	+	0.134636i
$855$	−0.305761	−	0.250931i	−0.0104568	−	0.00858167i
$856$	27.1426	−	21.4036i	0.927717	−	0.731561i
$857$	−42.6287	−	4.19856i	−1.45617	−	0.143420i	−0.661263	−	0.750154i	$-0.729979\pi$
$857$	−42.6287	−	4.19856i	−1.45617	−	0.143420i	−0.794905	+	0.606734i	$0.792479\pi$
$858$	0.130459	+	1.41905i	0.00445378	+	0.0484456i
$859$	−21.8539	−	1.07362i	−0.745647	−	0.0366313i	−0.327302	−	0.944920i	$-0.606140\pi$
$859$	−21.8539	−	1.07362i	−0.745647	−	0.0366313i	−0.418344	+	0.908288i	$0.637390\pi$
$860$	29.2805	−	42.6118i	0.998457	−	1.45305i
$861$	−26.8329	−	3.98029i	−0.914464	−	0.135648i
$862$	11.7235	−	19.2743i	0.399304	−	0.656485i
$863$	6.59192	+	15.9143i	0.224392	+	0.541729i	0.995477	−	0.0950023i	$-0.0302859\pi$
$863$	6.59192	+	15.9143i	0.224392	+	0.541729i	−0.771085	+	0.636732i	$0.780286\pi$
$864$	16.8881	−	23.5788i	0.574544	−	0.802167i
$865$	−25.7725	+	62.2202i	−0.876290	+	2.11555i
$866$	7.31328	+	9.99593i	0.248515	+	0.339676i
$867$	−11.1037	+	8.23510i	−0.377103	+	0.279679i
$868$	−0.556363	+	42.8029i	−0.0188842	+	1.45283i
$869$	−7.15759	−	7.89718i	−0.242805	−	0.267894i
$870$	−12.9032	−	24.5222i	−0.437460	−	0.831381i
$871$	0.00866704	−	0.00711285i	0.000293671	−	0.000241010i
$872$	16.2818	−	23.3680i	0.551371	−	0.791340i
$873$	−0.00176920	−	0.0179630i	−5.98785e−5	−	0.000607956i
$874$	0.543817	+	0.368501i	0.0183949	+	0.0124647i
$875$	0.813564	−	0.487632i	0.0275035	−	0.0164850i
$876$	0.583815	+	16.1697i	0.0197253	+	0.546323i
$877$	8.16427	−	9.00789i	0.275688	−	0.304175i	−0.587331	−	0.809347i	$-0.699821\pi$
$877$	8.16427	−	9.00789i	0.275688	−	0.304175i	0.863018	+	0.505172i	$0.168571\pi$
$878$	−2.28257	+	8.86761i	−0.0770329	+	0.299267i
$879$	5.15778	+	25.9299i	0.173968	+	0.874594i
$880$	57.7264	+	7.20494i	1.94596	+	0.242878i
$881$	−3.55390	+	17.8667i	−0.119734	+	0.601944i	0.873597	+	0.486650i	$0.161781\pi$
$881$	−3.55390	+	17.8667i	−0.119734	+	0.601944i	−0.993331	+	0.115294i	$0.963219\pi$
$882$	2.64322	−	5.49593i	0.0890019	−	0.185058i
$883$	29.5729	+	10.5813i	0.995206	+	0.356091i	0.783601	−	0.621265i	$-0.213381\pi$
$883$	29.5729	+	10.5813i	0.995206	+	0.356091i	0.211606	+	0.977355i	$0.432131\pi$
$884$	0.0501476	−	0.806688i	0.00168665	−	0.0271319i
$885$	−0.632089	−	4.26120i	−0.0212474	−	0.143239i
$886$	−31.4076	+	12.7710i	−1.05516	+	0.429049i
$887$	1.01526	+	1.89942i	0.0340891	+	0.0637762i	0.898389	−	0.439200i	$-0.144738\pi$
$887$	1.01526	+	1.89942i	0.0340891	+	0.0637762i	−0.864300	+	0.502977i	$0.832238\pi$
$888$	9.40334	+	27.9892i	0.315556	+	0.939257i
$889$	29.6405	−	8.99135i	0.994111	−	0.301560i
$890$	0.260078	+	0.141195i	0.00871783	+	0.00473287i
$891$	−0.740007	+	1.56461i	−0.0247912	+	0.0524165i
$892$	34.5876	−	17.9134i	1.15808	−	0.599785i
$893$	−0.0985621	−	0.393482i	−0.00329825	−	0.0131674i
$894$	9.84529	−	10.7217i	0.329276	−	0.358589i
$895$		−	2.34627i		−	0.0784272i
$896$	13.7604	+	20.4344i	0.459701	+	0.682664i
$897$			1.53199i			0.0511515i
$898$	36.6400	+	33.6449i	1.22269	+	1.12274i
$899$	14.2693	+	56.9663i	0.475909	+	1.89993i
$900$	−17.6930	−	5.61924i	−0.589766	−	0.187308i
$901$	2.44326	−	5.16584i	0.0813969	−	0.172099i
$902$	37.2770	−	68.6632i	1.24119	−	2.28624i
$903$	17.9141	−	5.43419i	0.596145	−	0.180839i
$904$	−3.44481	+	50.1491i	−0.114573	+	1.66793i
$905$	−2.18549	−	4.08876i	−0.0726480	−	0.135915i
$906$	8.36292	+	20.5669i	0.277839	+	0.683289i
$907$	−1.05439	−	7.10813i	−0.0350105	−	0.236021i	0.964607	−	0.263693i	$-0.0849407\pi$
$907$	−1.05439	−	7.10813i	−0.0350105	−	0.236021i	−0.999617	+	0.0276718i	$0.991191\pi$
$908$	9.70180	+	10.9880i	0.321965	+	0.364649i
$909$	26.4160	+	9.45179i	0.876163	+	0.313496i
$910$	1.81561	+	0.873201i	0.0601868	+	0.0289463i
$911$	−7.18016	+	36.0971i	−0.237889	+	1.19595i	0.658464	+	0.752612i	$0.271206\pi$
$911$	−7.18016	+	36.0971i	−0.237889	+	1.19595i	−0.896354	+	0.443339i	$0.853794\pi$
$912$	−0.261543	−	0.0868233i	−0.00866055	−	0.00287501i
$913$	4.61043	+	23.1782i	0.152583	+	0.767087i
$914$	28.3014	+	7.28493i	0.936128	+	0.240964i
$915$	−13.9676	+	15.4108i	−0.461754	+	0.509467i
$916$	30.2852	−	32.5541i	1.00065	−	1.07562i
$917$	−3.51406	+	2.10625i	−0.116044	+	0.0695544i
$918$	−7.88974	+	11.6433i	−0.260400	+	0.384286i
$919$	0.0342377	+	0.347621i	0.00112940	+	0.0114670i	0.995733	−	0.0922820i	$-0.0294161\pi$
$919$	0.0342377	+	0.347621i	0.00112940	+	0.0114670i	−0.994604	+	0.103749i	$0.966916\pi$
$920$	61.0891	+	13.3945i	2.01405	+	0.441603i
$921$	21.7915	−	17.8838i	0.718055	−	0.589293i
$922$	−21.5511	+	11.3398i	−0.709747	+	0.373458i
$923$	−0.355273	−	0.391983i	−0.0116940	−	0.0129023i
$924$	14.6994	+	15.0865i	0.483574	+	0.496311i
$925$	39.0307	−	28.9471i	1.28332	−	0.951775i
$926$	5.48872	−	4.01569i	0.180371	−	0.131964i
$927$	4.04913	−	9.77546i	0.132991	−	0.321068i
$928$	25.4155	+	22.2784i	0.834304	+	0.731324i
$929$	9.86949	+	23.8271i	0.323807	+	0.781740i	0.999026	+	0.0441227i	$0.0140493\pi$
$929$	9.86949	+	23.8271i	0.323807	+	0.781740i	−0.675219	+	0.737618i	$0.735951\pi$
$930$	−38.9486	−	23.6903i	−1.27717	−	0.776834i
$931$	−0.147380	−	0.0218617i	−0.00483018	−	0.000716489i
$932$	35.9767	−	6.67132i	1.17845	−	0.218526i
$933$	−22.3322	−	1.09711i	−0.731124	−	0.0359178i
$934$	−36.2939	+	3.33663i	−1.18757	+	0.109178i
$935$	−28.0752	−	2.76516i	−0.918157	−	0.0904305i
$936$	0.305552	+	1.08283i	0.00998729	+	0.0353935i
$937$	−7.34112	−	6.02470i	−0.239824	−	0.196818i	0.506802	−	0.862062i	$-0.330827\pi$
$937$	−7.34112	−	6.02470i	−0.239824	−	0.196818i	−0.746626	+	0.665244i	$0.768327\pi$
$938$	0.0333873	−	0.162329i	0.00109013	−	0.00530022i
$939$	−8.37517	−	2.09787i	−0.273313	−	0.0684614i
$940$	−22.5998	−	31.3149i	−0.737124	−	1.02138i
$941$	0.323741	+	6.58991i	0.0105537	+	0.214825i	0.998280	+	0.0586293i	$0.0186730\pi$
$941$	0.323741	+	6.58991i	0.0105537	+	0.214825i	−0.987726	+	0.156196i	$0.950077\pi$
$942$	10.7575	−	14.3095i	0.350498	−	0.466228i
$943$	46.6641	−	69.8377i	1.51959	−	2.27423i
$944$	2.58317	+	4.57540i	0.0840749	+	0.148917i
$945$	−19.4773	−	29.1499i	−0.633597	−	0.948245i
$946$	−2.99553	+	53.8344i	−0.0973931	+	1.75031i
$947$	−10.7846	−	22.8021i	−0.350452	−	0.740969i	0.649357	−	0.760484i	$-0.275038\pi$
$947$	−10.7846	−	22.8021i	−0.350452	−	0.740969i	−0.999810	+	0.0195142i	$0.993788\pi$
$948$	3.82326	+	2.91330i	0.124174	+	0.0946197i
$949$	−1.29630	−	0.961403i	−0.0420797	−	0.0312084i
$950$	−0.00294738	+	0.453523i	−9.56256e−5	+	0.0147142i
$951$	−0.845634	+	2.78768i	−0.0274216	+	0.0903968i
$952$	−6.92826	−	9.73265i	−0.224546	−	0.315437i
$953$	1.53857	−	2.87847i	0.0498393	−	0.0932428i	−0.855768	−	0.517359i	$-0.826915\pi$
$953$	1.53857	−	2.87847i	0.0498393	−	0.0932428i	0.905608	+	0.424116i	$0.139415\pi$
$954$	−0.831142	+	7.91131i	−0.0269092	+	0.256138i
$955$	3.63737	−	1.30147i	0.117703	−	0.0421147i
$956$	−5.65608	+	1.63578i	−0.182931	+	0.0529051i
$957$	24.7859	+	14.8561i	0.801215	+	0.480230i
$958$	−18.0244	+	8.38200i	−0.582341	+	0.270810i
$959$	21.9180	−	21.9180i	0.707770	−	0.707770i
$960$	−26.1901	+	1.55180i	−0.845282	+	0.0500841i
$961$	46.3969	+	46.3969i	1.49667	+	1.49667i
$962$	−2.76648	−	1.01019i	−0.0891949	−	0.0325698i
$963$	11.9963	−	20.0146i	0.386575	−	0.644961i
$964$	−19.7191	−	2.20130i	−0.635111	−	0.0708990i
$965$	20.4323	+	57.1043i	0.657738	+	1.83825i
$966$	14.2514	+	17.5974i	0.458532	+	0.566187i
$967$	−30.9939	−	16.5666i	−0.996698	−	0.532746i	−0.109427	−	0.993995i	$-0.534902\pi$
$967$	−30.9939	−	16.5666i	−0.996698	−	0.532746i	−0.887271	+	0.461249i	$0.847402\pi$
$968$	−26.9581	+	12.1129i	−0.866466	+	0.389323i
$969$	0.127884	+	0.0387932i	0.00410823	+	0.00124622i
$970$	−0.0298786	+	0.0294927i	−0.000959343	+	0.000946954i
$971$	0.414272	−	0.558581i	0.0132946	−	0.0179257i	−0.796510	−	0.604625i	$-0.793323\pi$
$971$	0.414272	−	0.558581i	0.0132946	−	0.0179257i	0.809805	+	0.586699i	$0.199573\pi$
$972$	8.06130	−	30.4953i	0.258566	−	0.978136i
$973$	−22.5718	+	10.6757i	−0.723620	+	0.342247i
$974$	−34.8381	−	38.9436i	−1.11629	−	1.24783i
$975$	−0.879436	+	0.587620i	−0.0281645	+	0.0188189i
$976$	9.16421	−	23.6550i	0.293339	−	0.757179i
$977$	−23.2213	−	15.5160i	−0.742915	−	0.496400i	0.125589	−	0.992082i	$-0.459918\pi$
$977$	−23.2213	−	15.5160i	−0.742915	−	0.496400i	−0.868504	+	0.495683i	$0.834918\pi$
$978$	4.09425	−	0.580157i	0.130920	−	0.0185514i
$979$	−0.308243	+	0.0151430i	−0.00985147	+	0.000483972i
$980$	−13.8032	+	3.26746i	−0.440927	+	0.104375i
$981$	4.67161	−	18.6501i	0.149153	−	0.595452i
$982$	23.6334	+	35.8724i	0.754174	+	1.14474i
$983$	15.8989	−	19.3729i	0.507096	−	0.617898i	−0.455039	−	0.890471i	$-0.650375\pi$
$983$	15.8989	−	19.3729i	0.507096	−	0.617898i	0.962135	+	0.272573i	$0.0878747\pi$
$984$	−10.8838	+	33.5126i	−0.346962	+	1.06834i
$985$	−5.18557	+	52.6499i	−0.165226	+	1.67757i
$986$	−12.6016	−	10.4797i	−0.401318	−	0.333741i
$987$	0.686105	−	13.9660i	0.0218390	−	0.444542i
$988$	0.0230517	−	0.0149730i	0.000733373	−	0.000476354i
$989$	−8.50512	+	57.3369i	−0.270447	+	1.82321i
$990$	38.1554	−	9.29433i	1.21266	−	0.295393i
$991$	−5.19683	+	2.15260i	−0.165083	+	0.0683795i	−0.463694	−	0.885995i	$-0.653476\pi$
$991$	−5.19683	+	2.15260i	−0.165083	+	0.0683795i	0.298612	+	0.954375i	$0.403476\pi$
$992$	54.7070	+	9.94121i	1.73695	+	0.315634i
$993$	33.5170	+	13.8832i	1.06363	+	0.440570i
$994$	−7.72736	−	1.19762i	−0.245097	−	0.0379861i
$995$	28.3479	+	38.2227i	0.898688	+	1.21174i
$996$	−3.95029	−	9.89883i	−0.125170	−	0.313657i
$997$	18.7988	−	17.0382i	0.595363	−	0.539606i	−0.317296	−	0.948326i	$-0.602775\pi$
$997$	18.7988	−	17.0382i	0.595363	−	0.539606i	0.912659	+	0.408721i	$0.134025\pi$
$998$	−2.24641	+	7.23579i	−0.0711088	+	0.229045i
$999$	32.5126	+	39.6167i	1.02865	+	1.25342i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.1	✓	992
256.109	even	64	inner	256.2.m.a.109.1	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.1	✓	992	1.1	even	1	trivial
256.2.m.a.109.1	yes	992	256.109	even	64	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:	\( N \)	\(=\)	\( 256 = 2^{8} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	256.m (of order \(64\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41293 + 0.0602112i) q^{2} +(1.01304 - 0.253754i) q^{3} +(1.99275 - 0.170149i) q^{4} +(-2.83877 - 1.34264i) q^{5} +(-1.41608 + 0.419533i) q^{6} +(-0.632094 - 2.08373i) q^{7} +(-2.80537 + 0.360394i) q^{8} +(-1.68390 + 0.900065i) q^{9} +O(q^{10})\)	\(q+(-1.41293 + 0.0602112i) q^{2} +(1.01304 - 0.253754i) q^{3} +(1.99275 - 0.170149i) q^{4} +(-2.83877 - 1.34264i) q^{5} +(-1.41608 + 0.419533i) q^{6} +(-0.632094 - 2.08373i) q^{7} +(-2.80537 + 0.360394i) q^{8} +(-1.68390 + 0.900065i) q^{9} +(4.09183 + 1.72613i) q^{10} +(-4.58118 + 0.679555i) q^{11} +(1.97556 - 0.678035i) q^{12} +(-0.0701864 + 0.196158i) q^{13} +(1.01857 + 2.90611i) q^{14} +(-3.21649 - 0.639799i) q^{15} +(3.94210 - 0.678127i) q^{16} +(-1.90249 + 0.378428i) q^{17} +(2.32504 - 1.37312i) q^{18} +(-0.0488801 - 0.0443023i) q^{19} +(-5.88540 - 2.19253i) q^{20} +(-1.16909 - 1.95051i) q^{21} +(6.43198 - 1.23600i) q^{22} +(7.00732 - 0.690160i) q^{23} +(-2.75051 + 1.07697i) q^{24} +(3.08397 + 3.75783i) q^{25} +(0.0873577 - 0.281384i) q^{26} +(-3.79888 + 3.44310i) q^{27} +(-1.61415 - 4.04481i) q^{28} +(-3.55908 - 4.79886i) q^{29} +(4.58320 + 0.710324i) q^{30} +(-9.08109 - 3.76151i) q^{31} +(-5.52908 + 1.19551i) q^{32} +(-4.46849 + 1.85091i) q^{33} +(2.66530 - 0.649245i) q^{34} +(-1.00333 + 6.76391i) q^{35} +(-3.20245 + 2.08012i) q^{36} +(0.490481 - 9.98397i) q^{37} +(0.0717317 + 0.0596530i) q^{38} +(-0.0213260 + 0.216526i) q^{39} +(8.44768 + 2.74352i) q^{40} +(7.56753 - 9.22107i) q^{41} +(1.76929 + 2.68555i) q^{42} +(-2.00024 + 7.98542i) q^{43} +(-9.01353 + 2.13366i) q^{44} +(5.98867 - 0.294205i) q^{45} +(-9.85930 + 1.39707i) q^{46} +(5.11261 + 3.41614i) q^{47} +(3.82143 - 1.68729i) q^{48} +(1.87788 - 1.25476i) q^{49} +(-4.58370 - 5.12386i) q^{50} +(-1.83127 + 0.866127i) q^{51} +(-0.106488 + 0.402836i) q^{52} +(-1.75492 + 2.36623i) q^{53} +(5.16024 - 5.09360i) q^{54} +(13.9173 + 4.22177i) q^{55} +(2.52422 + 5.61785i) q^{56} +(-0.0607594 - 0.0324766i) q^{57} +(5.31767 + 6.56616i) q^{58} +(0.442525 + 1.23677i) q^{59} +(-6.51852 - 0.727679i) q^{60} +(3.26046 - 5.43975i) q^{61} +(13.0574 + 4.76797i) q^{62} +(2.93988 + 2.93988i) q^{63} +(7.74023 - 2.02208i) q^{64} +(0.462612 - 0.462612i) q^{65} +(6.20222 - 2.88426i) q^{66} +(-0.0461604 - 0.0276675i) q^{67} +(-3.72679 + 1.07782i) q^{68} +(6.92357 - 2.47729i) q^{69} +(1.01038 - 9.61736i) q^{70} +(-1.19701 + 2.23946i) q^{71} +(4.39960 - 3.13189i) q^{72} +(-2.24873 + 7.41306i) q^{73} +(-0.0918690 + 14.1362i) q^{74} +(4.07775 + 3.02426i) q^{75} +(-0.104944 - 0.0799666i) q^{76} +(4.31175 + 9.11643i) q^{77} +(0.0170948 - 0.307221i) q^{78} +(1.27855 + 1.91348i) q^{79} +(-12.1012 - 3.36777i) q^{80} +(0.207624 - 0.310732i) q^{81} +(-10.1372 + 13.4844i) q^{82} +(-0.250379 - 5.09658i) q^{83} +(-2.66158 - 3.68796i) q^{84} +(5.90882 + 1.48008i) q^{85} +(2.34539 - 11.4033i) q^{86} +(-4.82322 - 3.95831i) q^{87} +(12.6070 - 3.55744i) q^{88} +(0.0663156 + 0.00653152i) q^{89} +(-8.44387 + 0.776276i) q^{90} +(0.453106 + 0.0222596i) q^{91} +(13.8464 - 2.56760i) q^{92} +(-10.1540 - 1.50621i) q^{93} +(-7.42946 - 4.51893i) q^{94} +(0.0792773 + 0.191392i) q^{95} +(-5.29783 + 2.61412i) q^{96} +(-0.00361767 + 0.00873382i) q^{97} +(-2.57777 + 1.88596i) q^{98} +(7.10262 - 5.26767i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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