LMFDB - Embedded newform 154.2.f.e.71.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [154,2,Mod(15,154)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(154, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("154.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 154 = 2 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	154.f (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.22969619113$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.58140625.2
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 $ x^8 - 3x^7 + 4x^6 - 7x^5 + 11x^4 + 5x^3 - 10x^2 - 25*x + 25
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			71.2
Root			$-0.983224 - 0.644389i$ of defining polynomial
Character	$\chi$	$=$	154.71
Dual form			154.2.f.e.141.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(1.89991 + 1.38036i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.865190 - 2.66278i) q^{5} +(0.725700 - 2.23347i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.777193 + 2.39195i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(1.89991 + 1.38036i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.865190 - 2.66278i) q^{5} +(0.725700 - 2.23347i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.777193 + 2.39195i) q^{9} -2.79981 q^{10} +(1.50757 - 2.95419i) q^{11} -2.34841 q^{12} +(2.18458 + 6.72343i) q^{13} +(0.809017 + 0.587785i) q^{14} +(5.31939 - 3.86476i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.850142 + 2.61647i) q^{17} +(2.03472 - 1.47831i) q^{18} +(-6.81018 - 4.94789i) q^{19} +(0.865190 + 2.66278i) q^{20} -2.34841 q^{21} +(-3.27546 - 0.520893i) q^{22} -3.83337 q^{23} +(0.725700 + 2.23347i) q^{24} +(-2.29676 - 1.66870i) q^{25} +(5.71929 - 4.15531i) q^{26} +(0.351929 - 1.08313i) q^{27} +(0.309017 - 0.951057i) q^{28} +(-3.75284 + 2.72660i) q^{29} +(-5.31939 - 3.86476i) q^{30} +(-0.0514928 - 0.158479i) q^{31} -1.00000 q^{32} +(6.94210 - 3.53168i) q^{33} +2.75112 q^{34} +(0.865190 + 2.66278i) q^{35} +(-2.03472 - 1.47831i) q^{36} +(-4.23154 + 3.07440i) q^{37} +(-2.60126 + 8.00585i) q^{38} +(-5.13029 + 15.7894i) q^{39} +(2.26510 - 1.64569i) q^{40} +(0.416683 + 0.302738i) q^{41} +(0.725700 + 2.23347i) q^{42} -4.07879 q^{43} +(0.516776 + 3.27612i) q^{44} +7.04167 q^{45} +(1.18458 + 3.64575i) q^{46} +(7.15275 + 5.19678i) q^{47} +(1.89991 - 1.38036i) q^{48} +(0.309017 - 0.951057i) q^{49} +(-0.877286 + 2.70001i) q^{50} +(-5.22686 + 3.79754i) q^{51} +(-5.71929 - 4.15531i) q^{52} +(-0.399907 - 1.23079i) q^{53} -1.13887 q^{54} +(-6.56202 - 6.57027i) q^{55} -1.00000 q^{56} +(-6.10883 - 18.8010i) q^{57} +(3.75284 + 2.72660i) q^{58} +(5.80739 - 4.21931i) q^{59} +(-2.03182 + 6.25331i) q^{60} +(0.422371 - 1.29992i) q^{61} +(-0.134810 + 0.0979452i) q^{62} +(-2.03472 - 1.47831i) q^{63} +(0.309017 + 0.951057i) q^{64} +19.7931 q^{65} +(-5.50406 - 5.51098i) q^{66} -3.87861 q^{67} +(-0.850142 - 2.61647i) q^{68} +(-7.28304 - 5.29144i) q^{69} +(2.26510 - 1.64569i) q^{70} +(-0.872043 + 2.68387i) q^{71} +(-0.777193 + 2.39195i) q^{72} +(5.11072 - 3.71315i) q^{73} +(4.23154 + 3.07440i) q^{74} +(-2.06023 - 6.34074i) q^{75} +8.41785 q^{76} +(0.516776 + 3.27612i) q^{77} +16.6020 q^{78} +(-0.227488 - 0.700135i) q^{79} +(-2.26510 - 1.64569i) q^{80} +(8.26789 - 6.00698i) q^{81} +(0.159159 - 0.489840i) q^{82} +(4.99080 - 15.3601i) q^{83} +(1.89991 - 1.38036i) q^{84} +(6.23154 + 4.52748i) q^{85} +(1.26042 + 3.87916i) q^{86} -10.8938 q^{87} +(2.95608 - 1.50386i) q^{88} +2.18737 q^{89} +(-2.17599 - 6.69702i) q^{90} +(-5.71929 - 4.15531i) q^{91} +(3.10126 - 2.25320i) q^{92} +(0.120926 - 0.372173i) q^{93} +(2.73211 - 8.40856i) q^{94} +(-19.0672 + 13.8532i) q^{95} +(-1.89991 - 1.38036i) q^{96} +(3.61056 + 11.1122i) q^{97} -1.00000 q^{98} +(8.23795 + 1.31007i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 5 q^{5} - 4 q^{6} - 2 q^{7} + 2 q^{8} - 7 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 5 * q^5 - 4 * q^6 - 2 * q^7 + 2 * q^8 - 7 * q^9	\( 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 5 q^{5} - 4 q^{6} - 2 q^{7} + 2 q^{8} - 7 q^{9} + 10 q^{10} - 5 q^{11} - 6 q^{12} + 3 q^{13} + 2 q^{14} + 30 q^{15} - 2 q^{16} - 7 q^{17} + 2 q^{18} - 14 q^{19} + 5 q^{20} - 6 q^{21} - 20 q^{23} - 4 q^{24} - 25 q^{25} + 17 q^{26} + 32 q^{27} - 2 q^{28} - 23 q^{29} - 30 q^{30} + 3 q^{31} - 8 q^{32} + 40 q^{33} + 2 q^{34} + 5 q^{35} - 2 q^{36} + 6 q^{37} - q^{38} - 21 q^{39} - 2 q^{41} - 4 q^{42} - 16 q^{43} + 15 q^{44} - 40 q^{45} - 5 q^{46} + 34 q^{47} - q^{48} - 2 q^{49} - 10 q^{50} + 4 q^{51} - 17 q^{52} + 13 q^{53} + 48 q^{54} - 25 q^{55} - 8 q^{56} - 12 q^{57} + 23 q^{58} - 3 q^{59} - 25 q^{60} - 16 q^{61} - 3 q^{62} - 2 q^{63} - 2 q^{64} + 10 q^{65} + 15 q^{66} + 18 q^{67} - 7 q^{68} - 15 q^{69} + 45 q^{71} + 7 q^{72} + q^{73} - 6 q^{74} + 40 q^{75} + 26 q^{76} + 15 q^{77} - 4 q^{78} - 21 q^{79} + 57 q^{81} - 3 q^{82} + 12 q^{83} - q^{84} + 10 q^{85} - 14 q^{86} - 4 q^{87} + 10 q^{88} + 12 q^{89} - 40 q^{90} - 17 q^{91} + 5 q^{92} - 31 q^{93} + 31 q^{94} - 30 q^{95} + q^{96} + 5 q^{97} - 8 q^{98} + 45 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 5 * q^5 - 4 * q^6 - 2 * q^7 + 2 * q^8 - 7 * q^9 + 10 * q^10 - 5 * q^11 - 6 * q^12 + 3 * q^13 + 2 * q^14 + 30 * q^15 - 2 * q^16 - 7 * q^17 + 2 * q^18 - 14 * q^19 + 5 * q^20 - 6 * q^21 - 20 * q^23 - 4 * q^24 - 25 * q^25 + 17 * q^26 + 32 * q^27 - 2 * q^28 - 23 * q^29 - 30 * q^30 + 3 * q^31 - 8 * q^32 + 40 * q^33 + 2 * q^34 + 5 * q^35 - 2 * q^36 + 6 * q^37 - q^38 - 21 * q^39 - 2 * q^41 - 4 * q^42 - 16 * q^43 + 15 * q^44 - 40 * q^45 - 5 * q^46 + 34 * q^47 - q^48 - 2 * q^49 - 10 * q^50 + 4 * q^51 - 17 * q^52 + 13 * q^53 + 48 * q^54 - 25 * q^55 - 8 * q^56 - 12 * q^57 + 23 * q^58 - 3 * q^59 - 25 * q^60 - 16 * q^61 - 3 * q^62 - 2 * q^63 - 2 * q^64 + 10 * q^65 + 15 * q^66 + 18 * q^67 - 7 * q^68 - 15 * q^69 + 45 * q^71 + 7 * q^72 + q^73 - 6 * q^74 + 40 * q^75 + 26 * q^76 + 15 * q^77 - 4 * q^78 - 21 * q^79 + 57 * q^81 - 3 * q^82 + 12 * q^83 - q^84 + 10 * q^85 - 14 * q^86 - 4 * q^87 + 10 * q^88 + 12 * q^89 - 40 * q^90 - 17 * q^91 + 5 * q^92 - 31 * q^93 + 31 * q^94 - 30 * q^95 + q^96 + 5 * q^97 - 8 * q^98 + 45 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/154\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

Coefficient data

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

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

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

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	1.89991	+	1.38036i	1.09691	+	0.796953i	0.980553	−	0.196254i	$-0.0628778\pi$
$3$	1.89991	+	1.38036i	1.09691	+	0.796953i	0.116359	+	0.993207i	$0.462878\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	0.865190	−	2.66278i	0.386925	−	1.19083i	−0.548150	−	0.836380i	$-0.684668\pi$
$5$	0.865190	−	2.66278i	0.386925	−	1.19083i	0.935074	−	0.354452i	$-0.115332\pi$
$6$	0.725700	−	2.23347i	0.296266	−	0.911812i
$7$	−0.809017	+	0.587785i	−0.305780	+	0.222162i
$7$	−0.809017	+	0.587785i	−0.305780	+	0.222162i
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	0.777193	+	2.39195i	0.259064	+	0.797318i
$10$	−2.79981			−0.885379
$11$	1.50757	−	2.95419i	0.454550	−	0.890721i
$11$	1.50757	−	2.95419i	0.454550	−	0.890721i
$12$	−2.34841			−0.677929
$13$	2.18458	+	6.72343i	0.605892	+	1.86474i	0.490538	+	0.871420i	$0.336800\pi$
$13$	2.18458	+	6.72343i	0.605892	+	1.86474i	0.115354	+	0.993324i	$0.463200\pi$
$14$	0.809017	+	0.587785i	0.216219	+	0.157092i
$15$	5.31939	−	3.86476i	1.37346	−	0.997877i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.850142	+	2.61647i	−0.206190	+	0.634586i	0.793473	+	0.608606i	$0.208271\pi$
$17$	−0.850142	+	2.61647i	−0.206190	+	0.634586i	−0.999662	+	0.0259808i	$0.991729\pi$
$18$	2.03472	−	1.47831i	0.479587	−	0.348441i
$19$	−6.81018	−	4.94789i	−1.56236	−	1.13512i	−0.934039	−	0.357171i	$-0.883741\pi$
$19$	−6.81018	−	4.94789i	−1.56236	−	1.13512i	−0.628324	−	0.777952i	$-0.716259\pi$
$20$	0.865190	+	2.66278i	0.193462	+	0.595416i
$21$	−2.34841			−0.512466
$22$	−3.27546	−	0.520893i	−0.698331	−	0.111055i
$23$	−3.83337			−0.799312			−0.399656	−	0.916665i	$-0.630870\pi$
$23$	−3.83337			−0.799312			−0.399656	+	0.916665i	$0.630870\pi$
$24$	0.725700	+	2.23347i	0.148133	+	0.455906i
$25$	−2.29676	−	1.66870i	−0.459353	−	0.333739i
$26$	5.71929	−	4.15531i	1.12165	−	0.814923i
$27$	0.351929	−	1.08313i	0.0677288	−	0.208448i
$28$	0.309017	−	0.951057i	0.0583987	−	0.179733i
$29$	−3.75284	+	2.72660i	−0.696886	+	0.506317i	−0.878916	−	0.476976i	$-0.841733\pi$
$29$	−3.75284	+	2.72660i	−0.696886	+	0.506317i	0.182031	+	0.983293i	$0.441733\pi$
$30$	−5.31939	−	3.86476i	−0.971182	−	0.705605i
$31$	−0.0514928	−	0.158479i	−0.00924839	−	0.0284636i	0.946326	−	0.323214i	$-0.104763\pi$
$31$	−0.0514928	−	0.158479i	−0.00924839	−	0.0284636i	−0.955574	+	0.294751i	$0.904763\pi$
$32$	−1.00000			−0.176777
$33$	6.94210	−	3.53168i	1.20846	−	0.614787i
$34$	2.75112			0.471813
$35$	0.865190	+	2.66278i	0.146244	+	0.450092i
$36$	−2.03472	−	1.47831i	−0.339119	−	0.246385i
$37$	−4.23154	+	3.07440i	−0.695662	+	0.505428i	−0.878516	−	0.477712i	$-0.841466\pi$
$37$	−4.23154	+	3.07440i	−0.695662	+	0.505428i	0.182855	+	0.983140i	$0.441466\pi$
$38$	−2.60126	+	8.00585i	−0.421980	+	1.29872i
$39$	−5.13029	+	15.7894i	−0.821503	+	2.52833i
$40$	2.26510	−	1.64569i	0.358143	−	0.260206i
$41$	0.416683	+	0.302738i	0.0650749	+	0.0472797i	0.619847	−	0.784723i	$-0.287195\pi$
$41$	0.416683	+	0.302738i	0.0650749	+	0.0472797i	−0.554772	+	0.832002i	$0.687195\pi$
$42$	0.725700	+	2.23347i	0.111978	+	0.344633i
$43$	−4.07879			−0.622010			−0.311005	−	0.950408i	$-0.600666\pi$
$43$	−4.07879			−0.622010			−0.311005	+	0.950408i	$0.600666\pi$
$44$	0.516776	+	3.27612i	0.0779069	+	0.493893i
$45$	7.04167			1.04971
$46$	1.18458	+	3.64575i	0.174656	+	0.537536i
$47$	7.15275	+	5.19678i	1.04334	+	0.758028i	0.970934	−	0.239348i	$-0.0769335\pi$
$47$	7.15275	+	5.19678i	1.04334	+	0.758028i	0.0724020	+	0.997376i	$0.476934\pi$
$48$	1.89991	−	1.38036i	0.274228	−	0.199238i
$49$	0.309017	−	0.951057i	0.0441453	−	0.135865i
$50$	−0.877286	+	2.70001i	−0.124067	+	0.381839i
$51$	−5.22686	+	3.79754i	−0.731907	+	0.531762i
$52$	−5.71929	−	4.15531i	−0.793123	−	0.576238i
$53$	−0.399907	−	1.23079i	−0.0549314	−	0.169062i	0.919827	−	0.392325i	$-0.128329\pi$
$53$	−0.399907	−	1.23079i	−0.0549314	−	0.169062i	−0.974758	+	0.223263i	$0.928329\pi$
$54$	−1.13887			−0.154980
$55$	−6.56202	−	6.57027i	−0.884822	−	0.885935i
$56$	−1.00000			−0.133631
$57$	−6.10883	−	18.8010i	−0.809134	−	2.49026i
$58$	3.75284	+	2.72660i	0.492773	+	0.358020i
$59$	5.80739	−	4.21931i	0.756057	−	0.549308i	−0.141641	−	0.989918i	$-0.545238\pi$
$59$	5.80739	−	4.21931i	0.756057	−	0.549308i	0.897698	+	0.440610i	$0.145238\pi$
$60$	−2.03182	+	6.25331i	−0.262307	+	0.807299i
$61$	0.422371	−	1.29992i	0.0540790	−	0.166438i	−0.920369	−	0.391051i	$-0.872112\pi$
$61$	0.422371	−	1.29992i	0.0540790	−	0.166438i	0.974448	+	0.224613i	$0.0721117\pi$
$62$	−0.134810	+	0.0979452i	−0.0171209	+	0.0124391i
$63$	−2.03472	−	1.47831i	−0.256350	−	0.186249i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	19.7931			2.45503
$66$	−5.50406	−	5.51098i	−0.677503	−	0.678355i
$67$	−3.87861			−0.473847			−0.236924	−	0.971528i	$-0.576139\pi$
$67$	−3.87861			−0.473847			−0.236924	+	0.971528i	$0.576139\pi$
$68$	−0.850142	−	2.61647i	−0.103095	−	0.317293i
$69$	−7.28304	−	5.29144i	−0.876775	−	0.637014i
$70$	2.26510	−	1.64569i	0.270731	−	0.196697i
$71$	−0.872043	+	2.68387i	−0.103492	+	0.318517i	−0.989374	−	0.145395i	$-0.953555\pi$
$71$	−0.872043	+	2.68387i	−0.103492	+	0.318517i	0.885881	+	0.463912i	$0.153555\pi$
$72$	−0.777193	+	2.39195i	−0.0915930	+	0.281894i
$73$	5.11072	−	3.71315i	0.598164	−	0.434592i	−0.247063	−	0.968999i	$-0.579465\pi$
$73$	5.11072	−	3.71315i	0.598164	−	0.434592i	0.845227	+	0.534408i	$0.179465\pi$
$74$	4.23154	+	3.07440i	0.491907	+	0.357391i
$75$	−2.06023	−	6.34074i	−0.237895	−	0.732165i
$76$	8.41785			0.965593
$77$	0.516776	+	3.27612i	0.0588921	+	0.373348i
$78$	16.6020			1.87980
$79$	−0.227488	−	0.700135i	−0.0255943	−	0.0787713i	0.937443	−	0.348138i	$-0.113186\pi$
$79$	−0.227488	−	0.700135i	−0.0255943	−	0.0787713i	−0.963038	+	0.269366i	$0.913186\pi$
$80$	−2.26510	−	1.64569i	−0.253246	−	0.183994i
$81$	8.26789	−	6.00698i	0.918655	−	0.667442i
$82$	0.159159	−	0.489840i	0.0175761	−	0.0540938i
$83$	4.99080	−	15.3601i	0.547811	−	1.68599i	−0.166400	−	0.986058i	$-0.553214\pi$
$83$	4.99080	−	15.3601i	0.547811	−	1.68599i	0.714211	−	0.699931i	$-0.246786\pi$
$84$	1.89991	−	1.38036i	0.207297	−	0.150610i
$85$	6.23154	+	4.52748i	0.675906	+	0.491074i
$86$	1.26042	+	3.87916i	0.135914	+	0.418301i
$87$	−10.8938			−1.16793
$88$	2.95608	−	1.50386i	0.315119	−	0.160312i
$89$	2.18737			0.231861			0.115930	−	0.993257i	$-0.463015\pi$
$89$	2.18737			0.231861			0.115930	+	0.993257i	$0.463015\pi$
$90$	−2.17599	−	6.69702i	−0.229370	−	0.705928i
$91$	−5.71929	−	4.15531i	−0.599545	−	0.435595i
$92$	3.10126	−	2.25320i	0.323328	−	0.234912i
$93$	0.120926	−	0.372173i	0.0125395	−	0.0385926i
$94$	2.73211	−	8.40856i	0.281795	−	0.867277i
$95$	−19.0672	+	13.8532i	−1.95626	+	1.42130i
$96$	−1.89991	−	1.38036i	−0.193908	−	0.140883i
$97$	3.61056	+	11.1122i	0.366597	+	1.12827i	0.948975	+	0.315351i	$0.102122\pi$
$97$	3.61056	+	11.1122i	0.366597	+	1.12827i	−0.582379	+	0.812918i	$0.697878\pi$
$98$	−1.00000			−0.101015
$99$	8.23795	+	1.31007i	0.827945	+	0.131667i
$100$	2.83896			0.283896
$101$	3.42064	+	10.5277i	0.340367	+	1.04754i	0.964018	+	0.265838i	$0.0856487\pi$
$101$	3.42064	+	10.5277i	0.340367	+	1.04754i	−0.623651	+	0.781703i	$0.714351\pi$
$102$	5.22686	+	3.79754i	0.517537	+	0.376012i
$103$	7.49385	−	5.44460i	0.738391	−	0.536472i	−0.153816	−	0.988099i	$-0.549156\pi$
$103$	7.49385	−	5.44460i	0.738391	−	0.536472i	0.892207	+	0.451627i	$0.149156\pi$
$104$	−2.18458	+	6.72343i	−0.214215	+	0.659287i
$105$	−2.03182	+	6.25331i	−0.198286	+	0.610261i
$106$	−1.04697	+	0.760668i	−0.101691	+	0.0738826i
$107$	2.86356	+	2.08050i	0.276831	+	0.201129i	0.717534	−	0.696524i	$-0.245271\pi$
$107$	2.86356	+	2.08050i	0.276831	+	0.201129i	−0.440703	+	0.897653i	$0.645271\pi$
$108$	0.351929	+	1.08313i	0.0338644	+	0.104224i
$109$	9.33001			0.893653			0.446826	−	0.894621i	$-0.352554\pi$
$109$	9.33001			0.893653			0.446826	+	0.894621i	$0.352554\pi$
$110$	−4.22092	+	8.27117i	−0.402449	+	0.788626i
$111$	−12.2833			−1.16588
$112$	0.309017	+	0.951057i	0.0291994	+	0.0898664i
$113$	−10.0932	−	7.33315i	−0.949490	−	0.689845i	0.00119602	−	0.999999i	$-0.499619\pi$
$113$	−10.0932	−	7.33315i	−0.949490	−	0.689845i	−0.950686	+	0.310154i	$0.899619\pi$
$114$	−15.9931	+	11.6197i	−1.49789	+	1.08828i
$115$	−3.31659	+	10.2074i	−0.309274	+	0.951846i
$116$	1.43346	−	4.41173i	0.133093	−	0.409619i
$117$	−14.3843	+	10.4508i	−1.32983	+	0.966177i
$118$	−5.80739	−	4.21931i	−0.534613	−	0.388419i
$119$	−0.850142	−	2.61647i	−0.0779324	−	0.239851i
$120$	6.57512			0.600224
$121$	−6.45445	−	8.90731i	−0.586768	−	0.809755i
$122$	−1.36682			−0.123746
$123$	0.373770	+	1.15035i	0.0337017	+	0.103723i
$124$	0.134810	+	0.0979452i	0.0121063	+	0.00879574i
$125$	4.89497	−	3.55641i	0.437820	−	0.318095i
$126$	−0.777193	+	2.39195i	−0.0692378	+	0.213092i
$127$	−0.332201	+	1.02241i	−0.0294781	+	0.0907241i	−0.964713	−	0.263303i	$-0.915188\pi$
$127$	−0.332201	+	1.02241i	−0.0294781	+	0.0907241i	0.935235	+	0.354027i	$0.115188\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−7.74933	−	5.63022i	−0.682290	−	0.495713i
$130$	−6.11640	−	18.8244i	−0.536444	−	1.65101i
$131$	8.94804			0.781794			0.390897	−	0.920434i	$-0.372165\pi$
$131$	8.94804			0.781794			0.390897	+	0.920434i	$0.372165\pi$
$132$	−3.54040	+	6.93766i	−0.308153	+	0.603845i
$133$	8.41785			0.729920
$134$	1.19856	+	3.68878i	0.103539	+	0.318662i
$135$	−2.57964	−	1.87422i	−0.222020	−	0.161307i
$136$	−2.22570	+	1.61707i	−0.190852	+	0.138662i
$137$	−0.743641	+	2.28869i	−0.0635335	+	0.195536i	−0.977785	−	0.209612i	$-0.932780\pi$
$137$	−0.743641	+	2.28869i	−0.0635335	+	0.195536i	0.914251	+	0.405148i	$0.132780\pi$
$138$	−2.78187	+	8.56172i	−0.236809	+	0.728822i
$139$	−1.50569	+	1.09395i	−0.127711	+	0.0927873i	−0.649807	−	0.760099i	$-0.725150\pi$
$139$	−1.50569	+	1.09395i	−0.127711	+	0.0927873i	0.522096	+	0.852887i	$0.325150\pi$
$140$	−2.26510	−	1.64569i	−0.191436	−	0.139086i
$141$	6.41612	+	19.7468i	0.540335	+	1.66298i
$142$	2.82199			0.236816
$143$	23.1557	+	3.68242i	1.93638	+	0.307939i
$144$	2.51505			0.209587
$145$	4.01342	+	12.3520i	0.333296	+	1.02578i
$146$	−5.11072	−	3.71315i	−0.422966	−	0.307303i
$147$	1.89991	−	1.38036i	0.156702	−	0.113850i
$148$	1.61631	−	4.97448i	0.132860	−	0.408900i
$149$	3.75517	−	11.5572i	0.307636	−	0.946806i	−0.671045	−	0.741417i	$-0.734154\pi$
$149$	3.75517	−	11.5572i	0.307636	−	0.946806i	0.978680	−	0.205389i	$-0.0658459\pi$
$150$	−5.39375	+	3.91879i	−0.440398	+	0.319968i
$151$	−1.53019	−	1.11175i	−0.124525	−	0.0904730i	0.523779	−	0.851854i	$-0.324522\pi$
$151$	−1.53019	−	1.11175i	−0.124525	−	0.0904730i	−0.648305	+	0.761381i	$0.724522\pi$
$152$	−2.60126	−	8.00585i	−0.210990	−	0.649360i
$153$	−6.91919			−0.559383
$154$	2.95608	−	1.50386i	0.238208	−	0.121184i
$155$	−0.466545			−0.0374738
$156$	−5.13029	−	15.7894i	−0.410752	−	1.26416i
$157$	−1.12576	−	0.817915i	−0.0898457	−	0.0652767i	0.541956	−	0.840407i	$-0.317684\pi$
$157$	−1.12576	−	0.817915i	−0.0898457	−	0.0652767i	−0.631801	+	0.775130i	$0.717684\pi$
$158$	−0.595570	+	0.432707i	−0.0473810	+	0.0344243i
$159$	0.939147	−	2.89040i	0.0744792	−	0.229223i
$160$	−0.865190	+	2.66278i	−0.0683993	+	0.210511i
$161$	3.10126	−	2.25320i	0.244413	−	0.177577i
$162$	−8.26789	−	6.00698i	−0.649587	−	0.471953i
$163$	6.45363	+	19.8622i	0.505487	+	1.55573i	0.799949	+	0.600067i	$0.204860\pi$
$163$	6.45363	+	19.8622i	0.505487	+	1.55573i	−0.294462	+	0.955663i	$0.595140\pi$
$164$	−0.515048			−0.0402185
$165$	−3.39787	−	21.5409i	−0.264523	−	1.67695i
$166$	−16.1506			−1.25353
$167$	−4.50462	−	13.8638i	−0.348578	−	1.07281i	−0.959640	−	0.281230i	$-0.909258\pi$
$167$	−4.50462	−	13.8638i	−0.348578	−	1.07281i	0.611062	−	0.791582i	$-0.290742\pi$
$168$	−1.89991	−	1.38036i	−0.146581	−	0.106497i
$169$	−29.9149	+	21.7345i	−2.30115	+	1.67188i
$170$	2.38024	−	7.32562i	0.182556	−	0.561849i
$171$	6.54229	−	20.1351i	0.500301	−	1.53977i
$172$	3.29981	−	2.39745i	0.251608	−	0.182804i
$173$	−1.35014	−	0.980935i	−0.102649	−	0.0745791i	0.535277	−	0.844677i	$-0.320207\pi$
$173$	−1.35014	−	0.980935i	−0.102649	−	0.0745791i	−0.637926	+	0.770098i	$0.720207\pi$
$174$	3.36635	+	10.3606i	0.255203	+	0.785433i
$175$	2.83896			0.214605
$176$	−2.34373	−	2.34668i	−0.176666	−	0.176888i
$177$	16.8577			1.26710
$178$	−0.675935	−	2.08031i	−0.0506634	−	0.155926i
$179$	−6.14065	−	4.46145i	−0.458974	−	0.333464i	0.334155	−	0.942518i	$-0.391549\pi$
$179$	−6.14065	−	4.46145i	−0.458974	−	0.333464i	−0.793129	+	0.609054i	$0.791549\pi$
$180$	−5.69683	+	4.13899i	−0.424616	+	0.308502i
$181$	0.297581	−	0.915860i	0.0221190	−	0.0680754i	−0.939388	−	0.342857i	$-0.888605\pi$
$181$	0.297581	−	0.915860i	0.0221190	−	0.0680754i	0.961507	+	0.274781i	$0.0886055\pi$
$182$	−2.18458	+	6.72343i	−0.161931	+	0.498374i
$183$	2.59683	−	1.88671i	0.191963	−	0.139470i
$184$	−3.10126	−	2.25320i	−0.228628	−	0.166108i
$185$	4.52536	+	13.9276i	0.332711	+	1.02398i
$186$	−0.391326			−0.0286934
$187$	6.44788	+	6.45599i	0.471516	+	0.472109i
$188$	−8.84129			−0.644817
$189$	0.351929	+	1.08313i	0.0255991	+	0.0787859i
$190$	19.0672	+	13.8532i	1.38328	+	1.00501i
$191$	−16.0538	+	11.6638i	−1.16161	+	0.843962i	−0.989981	−	0.141199i	$-0.954904\pi$
$191$	−16.0538	+	11.6638i	−1.16161	+	0.843962i	−0.171633	+	0.985161i	$0.554904\pi$
$192$	−0.725700	+	2.23347i	−0.0523729	+	0.161187i
$193$	4.54580	−	13.9905i	0.327214	−	1.00706i	−0.643217	−	0.765684i	$-0.722401\pi$
$193$	4.54580	−	13.9905i	0.327214	−	1.00706i	0.970431	−	0.241378i	$-0.0775993\pi$
$194$	9.45256	−	6.86769i	0.678655	−	0.493071i
$195$	37.6050	+	27.3217i	2.69295	+	1.95654i
$196$	0.309017	+	0.951057i	0.0220726	+	0.0679326i
$197$	−5.27195			−0.375611			−0.187805	−	0.982206i	$-0.560137\pi$
$197$	−5.27195			−0.375611			−0.187805	+	0.982206i	$0.560137\pi$
$198$	−1.29972	−	8.23959i	−0.0923668	−	0.585562i
$199$	−19.3749			−1.37345			−0.686726	−	0.726916i	$-0.740953\pi$
$199$	−19.3749			−1.37345			−0.686726	+	0.726916i	$0.740953\pi$
$200$	−0.877286	−	2.70001i	−0.0620335	−	0.190919i
$201$	−7.36899	−	5.35389i	−0.519769	−	0.377634i
$202$	8.95536	−	6.50645i	0.630097	−	0.457792i
$203$	1.43346	−	4.41173i	0.100609	−	0.309643i
$204$	1.99648	−	6.14455i	0.139782	−	0.430204i
$205$	1.16663	−	0.847609i	0.0814813	−	0.0591996i
$206$	−7.49385	−	5.44460i	−0.522121	−	0.379343i
$207$	−2.97926	−	9.16923i	−0.207073	−	0.637306i
$208$	7.06943			0.490177
$209$	−24.8838	+	12.6593i	−1.72125	+	0.875659i
$210$	6.57512			0.453726
$211$	0.626170	+	1.92715i	0.0431073	+	0.132671i	0.970294	−	0.241929i	$-0.0777801\pi$
$211$	0.626170	+	1.92715i	0.0431073	+	0.132671i	−0.927187	+	0.374600i	$0.877780\pi$
$212$	1.04697	+	0.760668i	0.0719062	+	0.0522429i
$213$	−5.36152	+	3.89537i	−0.367365	+	0.266906i
$214$	1.09378	−	3.36632i	0.0747694	−	0.230117i
$215$	−3.52893	+	10.8609i	−0.240671	+	0.740710i
$216$	0.921363	−	0.669409i	0.0626908	−	0.0455475i
$217$	0.134810	+	0.0979452i	0.00915150	+	0.00664895i
$218$	−2.88313	−	8.87336i	−0.195270	−	0.600980i
$219$	14.8354			1.00248
$220$	9.17069	+	1.45840i	0.618288	+	0.0983255i
$221$	−19.4488			−1.30827
$222$	3.79576	+	11.6821i	0.254754	+	0.784054i
$223$	18.7865	+	13.6492i	1.25804	+	0.914019i	0.998660	−	0.0517565i	$-0.0164820\pi$
$223$	18.7865	+	13.6492i	1.25804	+	0.914019i	0.259380	+	0.965775i	$0.416482\pi$
$224$	0.809017	−	0.587785i	0.0540547	−	0.0392731i
$225$	2.20642	−	6.79065i	0.147094	−	0.452710i
$226$	−3.85527	+	11.8653i	−0.256449	+	0.789267i
$227$	12.9556	−	9.41280i	0.859894	−	0.624750i	−0.0679619	−	0.997688i	$-0.521650\pi$
$227$	12.9556	−	9.41280i	0.859894	−	0.624750i	0.927856	+	0.372938i	$0.121650\pi$
$228$	15.9931	+	11.6197i	1.05917	+	0.769533i
$229$	−0.352937	−	1.08623i	−0.0233227	−	0.0717800i	0.938718	−	0.344687i	$-0.112015\pi$
$229$	−0.352937	−	1.08623i	−0.0233227	−	0.0717800i	−0.962040	+	0.272907i	$0.912015\pi$
$230$	10.7327			0.707694
$231$	−3.54040	+	6.93766i	−0.232942	+	0.456464i
$232$	−4.63877			−0.304550
$233$	−2.69149	−	8.28355i	−0.176325	−	0.542673i	0.823366	−	0.567510i	$-0.192093\pi$
$233$	−2.69149	−	8.28355i	−0.176325	−	0.542673i	−0.999692	+	0.0248371i	$0.992093\pi$
$234$	14.3843	+	10.4508i	0.940331	+	0.683190i
$235$	20.0264	−	14.5500i	1.30638	−	0.949138i
$236$	−2.21822	+	6.82699i	−0.144394	+	0.444399i
$237$	0.534235	−	1.64421i	0.0347023	−	0.106803i
$238$	−2.22570	+	1.61707i	−0.144271	+	0.104819i
$239$	−11.1980	−	8.13582i	−0.724338	−	0.526262i	0.163429	−	0.986555i	$-0.447744\pi$
$239$	−11.1980	−	8.13582i	−0.724338	−	0.526262i	−0.887767	+	0.460293i	$0.847744\pi$
$240$	−2.03182	−	6.25331i	−0.131154	−	0.403650i
$241$	−8.16193			−0.525756			−0.262878	−	0.964829i	$-0.584672\pi$
$241$	−8.16193			−0.525756			−0.262878	+	0.964829i	$0.584672\pi$
$242$	−6.47682	+	8.89105i	−0.416346	+	0.571539i
$243$	20.5834			1.32043
$244$	0.422371	+	1.29992i	0.0270395	+	0.0832191i
$245$	−2.26510	−	1.64569i	−0.144712	−	0.105139i
$246$	0.978544	−	0.710954i	0.0623897	−	0.0453288i
$247$	18.3894	−	56.5968i	1.17009	−	3.60117i
$248$	0.0514928	−	0.158479i	0.00326980	−	0.0100634i
$249$	30.6846	−	22.2936i	1.94455	−	1.41280i
$250$	−4.89497	−	3.55641i	−0.309585	−	0.224927i
$251$	0.0615131	+	0.189318i	0.00388267	+	0.0119496i	0.952979	−	0.303036i	$-0.0980003\pi$
$251$	0.0615131	+	0.189318i	0.00388267	+	0.0119496i	−0.949096	+	0.314986i	$0.898000\pi$
$252$	2.51505			0.158433
$253$	−5.77908	+	11.3245i	−0.363327	+	0.711964i
$254$	1.07502			0.0674530
$255$	5.58979	+	17.2036i	0.350046	+	1.07733i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	0.266727	−	0.193789i	0.0166380	−	0.0120882i	−0.579435	−	0.815018i	$-0.696727\pi$
$257$	0.266727	−	0.193789i	0.0166380	−	0.0120882i	0.596073	+	0.802930i	$0.296727\pi$
$258$	−2.95998	+	9.10988i	−0.184280	+	0.567156i
$259$	1.61631	−	4.97448i	0.100432	−	0.309099i
$260$	−16.0130	+	11.6341i	−0.993081	+	0.721516i
$261$	−9.43858	−	6.85753i	−0.584234	−	0.424471i
$262$	−2.76510	−	8.51009i	−0.170828	−	0.525755i
$263$	0.0657842			0.00405643			0.00202821	−	0.999998i	$-0.499354\pi$
$263$	0.0657842			0.00405643			0.00202821	+	0.999998i	$0.499354\pi$
$264$	7.69215	+	1.22327i	0.473419	+	0.0752872i
$265$	−3.62331			−0.222578
$266$	−2.60126	−	8.00585i	−0.159493	−	0.490870i
$267$	4.15580	+	3.01937i	0.254331	+	0.184782i
$268$	3.13786	−	2.27979i	0.191675	−	0.139260i
$269$	9.53984	−	29.3606i	0.581654	−	1.79015i	−0.0306550	−	0.999530i	$-0.509759\pi$
$269$	9.53984	−	29.3606i	0.581654	−	1.79015i	0.612309	−	0.790618i	$-0.290241\pi$
$270$	−0.985337	+	3.03255i	−0.0599657	+	0.184555i
$271$	−18.1685	+	13.2002i	−1.10366	+	0.801854i	−0.981653	−	0.190675i	$-0.938932\pi$
$271$	−18.1685	+	13.2002i	−1.10366	+	0.801854i	−0.122005	+	0.992530i	$0.538932\pi$
$272$	2.22570	+	1.61707i	0.134953	+	0.0980490i
$273$	−5.13029	−	15.7894i	−0.310499	−	0.955618i
$274$	2.40647			0.145380
$275$	−8.39218	+	4.26939i	−0.506068	+	0.257454i
$276$	9.00233			0.541877
$277$	5.98718	+	18.4267i	0.359735	+	1.10715i	0.953213	+	0.302300i	$0.0977545\pi$
$277$	5.98718	+	18.4267i	0.359735	+	1.10715i	−0.593478	+	0.804850i	$0.702245\pi$
$278$	1.50569	+	1.09395i	0.0903052	+	0.0656105i
$279$	0.339054	−	0.246337i	0.0202986	−	0.0147478i
$280$	−0.865190	+	2.66278i	−0.0517050	+	0.159132i
$281$	−8.73912	+	26.8962i	−0.521332	+	1.60450i	0.250125	+	0.968214i	$0.419528\pi$
$281$	−8.73912	+	26.8962i	−0.521332	+	1.60450i	−0.771457	+	0.636281i	$0.780472\pi$
$282$	16.7976	−	12.2042i	1.00028	−	0.726749i
$283$	1.28071	+	0.930489i	0.0761302	+	0.0553118i	0.625199	−	0.780465i	$-0.285018\pi$
$283$	1.28071	+	0.930489i	0.0761302	+	0.0553118i	−0.549069	+	0.835777i	$0.685018\pi$
$284$	−0.872043	−	2.68387i	−0.0517462	−	0.159258i
$285$	−55.3484			−3.27855
$286$	−3.65331	−	23.1603i	−0.216025	−	1.36950i
$287$	−0.515048			−0.0304023
$288$	−0.777193	−	2.39195i	−0.0457965	−	0.140947i
$289$	7.63013	+	5.54361i	0.448831	+	0.326095i
$290$	10.5073	−	7.63397i	0.617008	−	0.448282i
$291$	−8.47909	+	26.0959i	−0.497053	+	1.52977i
$292$	−1.95212	+	6.00801i	−0.114239	+	0.351592i
$293$	7.92633	−	5.75882i	0.463061	−	0.336434i	−0.331670	−	0.943396i	$-0.607612\pi$
$293$	7.92633	−	5.75882i	0.463061	−	0.336434i	0.794731	+	0.606962i	$0.207612\pi$
$294$	−1.89991	−	1.38036i	−0.110805	−	0.0805044i
$295$	−6.21061	−	19.1143i	−0.361596	−	1.11288i
$296$	−5.23048			−0.304015
$297$	−2.66920	−	2.67256i	−0.154883	−	0.155078i
$298$	−12.1520			−0.703946
$299$	−8.37428	−	25.7734i	−0.484297	−	1.49051i
$300$	5.39375	+	3.91879i	0.311408	+	0.226252i
$301$	3.29981	−	2.39745i	0.190198	−	0.138187i
$302$	−0.584482	+	1.79885i	−0.0336332	+	0.103512i
$303$	−8.03309	+	24.7233i	−0.461489	+	1.42032i
$304$	−6.81018	+	4.94789i	−0.390591	+	0.283781i
$305$	−3.09598	−	2.24936i	−0.177275	−	0.128798i
$306$	2.13815	+	6.58054i	0.122230	+	0.376184i
$307$	−21.3486			−1.21843			−0.609215	−	0.793005i	$-0.708515\pi$
$307$	−21.3486			−1.21843			−0.609215	+	0.793005i	$0.708515\pi$
$308$	−2.34373	−	2.34668i	−0.133547	−	0.133715i
$309$	21.7531			1.23749
$310$	0.144170	+	0.443711i	0.00818833	+	0.0252011i
$311$	−2.53192	−	1.83955i	−0.143572	−	0.104311i	0.513681	−	0.857981i	$-0.328282\pi$
$311$	−2.53192	−	1.83955i	−0.143572	−	0.104311i	−0.657253	+	0.753670i	$0.728282\pi$
$312$	−13.4313	+	9.75839i	−0.760396	+	0.552460i
$313$	−10.5974	+	32.6154i	−0.599000	+	1.84353i	−0.0652885	+	0.997866i	$0.520797\pi$
$313$	−10.5974	+	32.6154i	−0.599000	+	1.84353i	−0.533712	+	0.845667i	$0.679203\pi$
$314$	−0.430003	+	1.32341i	−0.0242665	+	0.0746846i
$315$	−5.69683	+	4.13899i	−0.320980	+	0.233206i
$316$	0.595570	+	0.432707i	0.0335034	+	0.0243417i
$317$	−1.66374	−	5.12047i	−0.0934450	−	0.287594i	0.893400	−	0.449262i	$-0.148313\pi$
$317$	−1.66374	−	5.12047i	−0.0934450	−	0.287594i	−0.986845	+	0.161667i	$0.948313\pi$
$318$	−3.03914			−0.170427
$319$	2.39721	+	15.1972i	0.134218	+	0.850877i
$320$	2.79981			0.156514
$321$	2.56865	+	7.90550i	0.143368	+	0.441242i
$322$	−3.10126	−	2.25320i	−0.172826	−	0.125566i
$323$	18.7356	−	13.6122i	1.04248	−	0.757404i
$324$	−3.15805	+	9.71949i	−0.175447	+	0.539972i
$325$	6.20191	−	19.0875i	0.344020	−	1.05879i
$326$	16.8958	−	12.2755i	0.935773	−	0.679879i
$327$	17.7261	+	12.8788i	0.980258	+	0.712199i
$328$	0.159159	+	0.489840i	0.00878807	+	0.0270469i
$329$	−8.84129			−0.487436
$330$	−19.4366	+	9.88806i	−1.06995	+	0.544320i
$331$	−5.21879			−0.286850			−0.143425	−	0.989661i	$-0.545812\pi$
$331$	−5.21879			−0.286850			−0.143425	+	0.989661i	$0.545812\pi$
$332$	4.99080	+	15.3601i	0.273906	+	0.842995i
$333$	−10.6425	−	7.73226i	−0.583208	−	0.423725i
$334$	−11.7932	+	8.56830i	−0.645298	+	0.468836i
$335$	−3.35573	+	10.3279i	−0.183343	+	0.564273i
$336$	−0.725700	+	2.23347i	−0.0395902	+	0.121846i
$337$	24.2577	−	17.6242i	1.32140	−	0.960053i	0.321485	−	0.946915i	$-0.395818\pi$
$337$	24.2577	−	17.6242i	1.32140	−	0.960053i	0.999914	−	0.0131380i	$-0.00418206\pi$
$338$	29.9149	+	21.7345i	1.62716	+	1.18220i
$339$	−9.05376	−	27.8646i	−0.491733	−	1.51340i
$340$	−7.70261			−0.417733
$341$	−0.545805	−	0.0867986i	−0.0295570	−	0.00470041i
$342$	−21.1713			−1.14481
$343$	0.309017	+	0.951057i	0.0166853	+	0.0513522i
$344$	−3.29981	−	2.39745i	−0.177914	−	0.129262i
$345$	−20.3911	+	14.8150i	−1.09782	+	0.797615i
$346$	−0.515708	+	1.58719i	−0.0277246	+	0.0853277i
$347$	−3.15922	+	9.72308i	−0.169596	+	0.521962i	−0.999346	−	0.0361735i	$-0.988483\pi$
$347$	−3.15922	+	9.72308i	−0.169596	+	0.521962i	0.829750	+	0.558136i	$0.188483\pi$
$348$	8.81323	−	6.40319i	0.472439	−	0.343247i
$349$	16.6600	+	12.1042i	0.891790	+	0.647923i	0.936344	−	0.351084i	$-0.114187\pi$
$349$	16.6600	+	12.1042i	0.891790	+	0.647923i	−0.0445540	+	0.999007i	$0.514187\pi$
$350$	−0.877286	−	2.70001i	−0.0468929	−	0.144322i
$351$	8.05115			0.429738
$352$	−1.50757	+	2.95419i	−0.0803539	+	0.157459i
$353$	−8.82633			−0.469778			−0.234889	−	0.972022i	$-0.575473\pi$
$353$	−8.82633			−0.469778			−0.234889	+	0.972022i	$0.575473\pi$
$354$	−5.20931	−	16.0326i	−0.276872	−	0.852123i
$355$	6.39208	+	4.64412i	0.339256	+	0.246484i
$356$	−1.76962	+	1.28570i	−0.0937897	+	0.0681422i
$357$	1.99648	−	6.14455i	0.105665	−	0.325204i
$358$	−2.34552	+	7.21877i	−0.123965	+	0.381524i
$359$	−15.2205	+	11.0583i	−0.803305	+	0.583635i	−0.911882	−	0.410453i	$-0.865371\pi$
$359$	−15.2205	+	11.0583i	−0.803305	+	0.583635i	0.108577	+	0.994088i	$0.465371\pi$
$360$	5.69683	+	4.13899i	0.300249	+	0.218144i
$361$	16.0257	+	49.3219i	0.843456	+	2.59589i
$362$	−0.962993			−0.0506138
$363$	0.0324633	−	25.8325i	0.00170388	−	1.35586i
$364$	7.06943			0.370539
$365$	−5.46557	−	16.8213i	−0.286081	−	0.880467i
$366$	−2.59683	−	1.88671i	−0.135739	−	0.0986198i
$367$	−26.1432	+	18.9942i	−1.36467	+	0.991488i	−0.366533	+	0.930405i	$0.619455\pi$
$367$	−26.1432	+	18.9942i	−1.36467	+	0.991488i	−0.998133	+	0.0610829i	$0.980545\pi$
$368$	−1.18458	+	3.64575i	−0.0617502	+	0.190048i
$369$	−0.400292	+	1.23197i	−0.0208384	+	0.0641339i
$370$	11.8475	−	8.60774i	0.615924	−	0.447495i
$371$	1.04697	+	0.760668i	0.0543560	+	0.0394919i
$372$	0.120926	+	0.372173i	0.00626975	+	0.0192963i
$373$	−34.5991			−1.79147			−0.895736	−	0.444586i	$-0.853351\pi$
$373$	−34.5991			−1.79147			−0.895736	+	0.444586i	$0.853351\pi$
$374$	4.14751	−	8.12731i	0.214463	−	0.420253i
$375$	14.2091			0.733756
$376$	2.73211	+	8.40856i	0.140898	+	0.433639i
$377$	−26.5305	−	19.2755i	−1.36639	−	0.992740i
$378$	0.921363	−	0.669409i	0.0473898	−	0.0344307i
$379$	9.62504	−	29.6228i	0.494405	−	1.52162i	−0.323476	−	0.946236i	$-0.604852\pi$
$379$	9.62504	−	29.6228i	0.494405	−	1.52162i	0.817881	−	0.575387i	$-0.195148\pi$
$380$	7.28304	−	22.4149i	0.373612	−	1.14986i
$381$	−2.04245	+	1.48392i	−0.104638	+	0.0760237i
$382$	16.0538	+	11.6638i	0.821385	+	0.596771i
$383$	1.80512	+	5.55558i	0.0922372	+	0.283877i	0.986524	−	0.163618i	$-0.0523164\pi$
$383$	1.80512	+	5.55558i	0.0922372	+	0.283877i	−0.894287	+	0.447495i	$0.852316\pi$
$384$	2.34841			0.119842
$385$	9.17069	+	1.45840i	0.467382	+	0.0743271i
$386$	−14.7105			−0.748746
$387$	−3.17001	−	9.75628i	−0.161141	−	0.495940i
$388$	−9.45256	−	6.86769i	−0.479881	−	0.348654i
$389$	22.8633	−	16.6111i	1.15921	−	0.842219i	0.169536	−	0.985524i	$-0.445773\pi$
$389$	22.8633	−	16.6111i	1.15921	−	0.842219i	0.989679	+	0.143305i	$0.0457731\pi$
$390$	14.3638	−	44.2074i	0.727342	−	2.23853i
$391$	3.25890	−	10.0299i	0.164810	−	0.507233i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	17.0004	+	12.3515i	0.857559	+	0.623053i
$394$	1.62912	+	5.01392i	0.0820740	+	0.252598i
$395$	−2.06112			−0.103706
$396$	−7.43468	+	3.78228i	−0.373607	+	0.190067i
$397$	10.2799			0.515932			0.257966	−	0.966154i	$-0.416948\pi$
$397$	10.2799			0.515932			0.257966	+	0.966154i	$0.416948\pi$
$398$	5.98718	+	18.4267i	0.300110	+	0.923645i
$399$	15.9931	+	11.6197i	0.800658	+	0.581712i
$400$	−2.29676	+	1.66870i	−0.114838	+	0.0834348i
$401$	4.10623	−	12.6377i	0.205055	−	0.631095i	−0.794656	−	0.607060i	$-0.792349\pi$
$401$	4.10623	−	12.6377i	0.205055	−	0.631095i	0.999711	−	0.0240348i	$-0.00765126\pi$
$402$	−2.81470	+	8.66277i	−0.140385	+	0.432060i
$403$	0.953030	−	0.692417i	0.0474738	−	0.0344918i
$404$	−8.95536	−	6.50645i	−0.445546	−	0.323708i
$405$	−8.84196	−	27.2128i	−0.439361	−	1.35221i
$406$	−4.63877			−0.230218
$407$	2.70299	+	17.1357i	0.133982	+	0.849383i
$408$	−6.46076			−0.319855
$409$	5.41486	+	16.6652i	0.267748	+	0.824042i	0.991048	+	0.133508i	$0.0426243\pi$
$409$	5.41486	+	16.6652i	0.267748	+	0.824042i	−0.723300	+	0.690534i	$0.757376\pi$
$410$	−1.16663	−	0.847609i	−0.0576160	−	0.0418604i
$411$	−4.57207	+	3.32180i	−0.225524	+	0.163853i
$412$	−2.86239	+	8.80954i	−0.141020	+	0.434015i
$413$	−2.21822	+	6.82699i	−0.109152	+	0.335934i
$414$	−7.79981	+	5.66690i	−0.383340	+	0.278513i
$415$	−36.5826	−	26.5788i	−1.79577	−	1.30470i
$416$	−2.18458	−	6.72343i	−0.107108	−	0.329643i
$417$	−4.37071			−0.214035
$418$	19.7292	+	19.7540i	0.964986	+	0.966200i
$419$	−15.5836			−0.761306			−0.380653	−	0.924718i	$-0.624301\pi$
$419$	−15.5836			−0.761306			−0.380653	+	0.924718i	$0.624301\pi$
$420$	−2.03182	−	6.25331i	−0.0991429	−	0.305130i
$421$	−7.63145	−	5.54457i	−0.371934	−	0.270226i	0.386078	−	0.922466i	$-0.373829\pi$
$421$	−7.63145	−	5.54457i	−0.371934	−	0.270226i	−0.758013	+	0.652240i	$0.773829\pi$
$422$	1.63933	−	1.19105i	0.0798015	−	0.0579792i
$423$	−6.87138	+	21.1479i	−0.334098	+	1.02825i
$424$	0.399907	−	1.23079i	0.0194212	−	0.0597723i
$425$	6.31867	−	4.59078i	0.306500	−	0.222685i
$426$	5.36152	+	3.89537i	0.259766	+	0.188731i
$427$	0.422371	+	1.29992i	0.0204400	+	0.0629077i
$428$	−3.53955			−0.171091
$429$	38.9106	+	38.9595i	1.87862	+	1.88098i
$430$	11.4199			0.550715
$431$	−2.79915	−	8.61491i	−0.134830	−	0.414966i	0.860733	−	0.509056i	$-0.170006\pi$
$431$	−2.79915	−	8.61491i	−0.134830	−	0.414966i	−0.995564	+	0.0940909i	$0.970006\pi$
$432$	−0.921363	−	0.669409i	−0.0443291	−	0.0322070i
$433$	−6.77663	+	4.92351i	−0.325664	+	0.236609i	−0.738589	−	0.674156i	$-0.764507\pi$
$433$	−6.77663	+	4.92351i	−0.325664	+	0.236609i	0.412925	+	0.910765i	$0.364507\pi$
$434$	0.0514928	−	0.158479i	0.00247174	−	0.00760722i
$435$	−9.42517	+	29.0077i	−0.451902	+	1.39081i
$436$	−7.54813	+	5.48404i	−0.361490	+	0.262638i
$437$	26.1059	+	18.9671i	1.24882	+	0.907317i
$438$	−4.58438	−	14.1093i	−0.219050	−	0.674168i
$439$	23.2891			1.11153			0.555764	−	0.831340i	$-0.312426\pi$
$439$	23.2891			1.11153			0.555764	+	0.831340i	$0.312426\pi$
$440$	−1.44688	−	9.17252i	−0.0689771	−	0.437283i
$441$	2.51505			0.119764
$442$	6.01002	+	18.4969i	0.285868	+	0.879810i
$443$	30.0909	+	21.8623i	1.42966	+	1.03871i	0.990080	+	0.140506i	$0.0448729\pi$
$443$	30.0909	+	21.8623i	1.42966	+	1.03871i	0.439580	+	0.898203i	$0.355127\pi$
$444$	9.93742	−	7.21996i	0.471609	−	0.342644i
$445$	1.89249	−	5.82449i	0.0897127	−	0.276107i
$446$	7.17582	−	22.0849i	0.339785	−	1.04575i
$447$	23.0877	−	16.7742i	1.09201	−	0.793391i
$448$	−0.809017	−	0.587785i	−0.0382225	−	0.0277702i
$449$	−8.08313	−	24.8773i	−0.381466	−	1.17403i	−0.939011	−	0.343886i	$-0.888257\pi$
$449$	−8.08313	−	24.8773i	−0.381466	−	1.17403i	0.557545	−	0.830147i	$-0.311743\pi$
$450$	−7.14011			−0.336588
$451$	1.52252	−	0.774560i	0.0716929	−	0.0364726i
$452$	12.4759			0.586817
$453$	−1.37261	−	4.22445i	−0.0644906	−	0.198482i
$454$	−12.9556	−	9.41280i	−0.608037	−	0.441765i
$455$	−16.0130	+	11.6341i	−0.750699	+	0.545415i
$456$	6.10883	−	18.8010i	0.286072	−	0.880440i
$457$	8.99485	−	27.6833i	0.420762	−	1.29497i	−0.486233	−	0.873829i	$-0.661629\pi$
$457$	8.99485	−	27.6833i	0.420762	−	1.29497i	0.906995	−	0.421142i	$-0.138371\pi$
$458$	−0.924001	+	0.671326i	−0.0431758	+	0.0313690i
$459$	2.53478	+	1.84162i	0.118313	+	0.0859596i
$460$	−3.31659	−	10.2074i	−0.154637	−	0.475923i
$461$	30.9019			1.43924			0.719622	−	0.694366i	$-0.244315\pi$
$461$	30.9019			1.43924			0.719622	+	0.694366i	$0.244315\pi$
$462$	7.69215	+	1.22327i	0.357871	+	0.0569117i
$463$	9.36394			0.435179			0.217590	−	0.976040i	$-0.430181\pi$
$463$	9.36394			0.435179			0.217590	+	0.976040i	$0.430181\pi$
$464$	1.43346	+	4.41173i	0.0665467	+	0.204810i
$465$	−0.886392	−	0.644002i	−0.0411054	−	0.0298649i
$466$	−7.04641	+	5.11951i	−0.326418	+	0.237157i
$467$	4.66394	−	14.3541i	0.215821	−	0.664229i	−0.783273	−	0.621678i	$-0.786451\pi$
$467$	4.66394	−	14.3541i	0.215821	−	0.664229i	0.999094	−	0.0425516i	$-0.0135487\pi$
$468$	5.49431	−	16.9098i	0.253975	−	0.781654i
$469$	3.13786	−	2.27979i	0.144893	−	0.105271i
$470$	−20.0264	−	14.5500i	−0.923748	−	0.671142i
$471$	−1.00983	−	3.10793i	−0.0465303	−	0.143206i
$472$	7.17832			0.330409
$473$	−6.14908	+	12.0495i	−0.282735	+	0.554038i
$474$	−1.72882			−0.0794073
$475$	7.38486	+	22.7283i	0.338841	+	1.04284i
$476$	2.22570	+	1.61707i	0.102015	+	0.0741181i
$477$	2.63318	−	1.91312i	0.120565	−	0.0875956i
$478$	−4.27725	+	13.1640i	−0.195637	+	0.602109i
$479$	−5.49431	+	16.9098i	−0.251042	+	0.772626i	0.743542	+	0.668689i	$0.233144\pi$
$479$	−5.49431	+	16.9098i	−0.251042	+	0.772626i	−0.994584	+	0.103937i	$0.966856\pi$
$480$	−5.31939	+	3.86476i	−0.242796	+	0.176401i
$481$	−29.9146	−	21.7342i	−1.36399	−	0.990996i
$482$	2.52218	+	7.76246i	0.114882	+	0.353570i
$483$	9.00233			0.409620
$484$	10.4573	+	3.41233i	0.475334	+	0.155106i
$485$	32.7131			1.48542
$486$	−6.36063	−	19.5760i	−0.288524	−	0.887986i
$487$	−17.9314	−	13.0279i	−0.812548	−	0.590350i	0.102021	−	0.994782i	$-0.467469\pi$
$487$	−17.9314	−	13.0279i	−0.812548	−	0.590350i	−0.914568	+	0.404432i	$0.867469\pi$
$488$	1.10578	−	0.803397i	0.0500564	−	0.0363681i
$489$	−15.1558	+	46.6448i	−0.685369	+	2.10935i
$490$	−0.865190	+	2.66278i	−0.0390853	+	0.120292i
$491$	−5.95313	+	4.32520i	−0.268661	+	0.195194i	−0.713957	−	0.700190i	$-0.753099\pi$
$491$	−5.95313	+	4.32520i	−0.268661	+	0.195194i	0.445296	+	0.895384i	$0.353099\pi$
$492$	−0.978544	−	0.710954i	−0.0441162	−	0.0320523i
$493$	−3.94361	−	12.1372i	−0.177611	−	0.546632i
$494$	−59.5094			−2.67746
$495$	10.6158	−	20.8024i	0.477146	−	0.934999i
$496$	−0.166634			−0.00748210
$497$	−0.872043	−	2.68387i	−0.0391165	−	0.120388i
$498$	−30.6846	−	22.2936i	−1.37501	−	0.999002i
$499$	−2.20308	+	1.60063i	−0.0986234	+	0.0716541i	−0.636004	−	0.771686i	$-0.719414\pi$
$499$	−2.20308	+	1.60063i	−0.0986234	+	0.0716541i	0.537381	+	0.843340i	$0.319414\pi$
$500$	−1.86971	+	5.75439i	−0.0836161	+	0.257344i
$501$	10.5787	−	32.5579i	0.472622	−	1.45458i
$502$	0.161043	−	0.117005i	0.00718772	−	0.00522218i
$503$	17.6125	+	12.7963i	0.785304	+	0.570557i	0.906566	−	0.422064i	$-0.138694\pi$
$503$	17.6125	+	12.7963i	0.785304	+	0.570557i	−0.121262	+	0.992621i	$0.538694\pi$
$504$	−0.777193	−	2.39195i	−0.0346189	−	0.106546i
$505$	30.9924			1.37914
$506$	12.5561	+	1.99677i	0.558185	+	0.0887673i
$507$	−86.8371			−3.85657
$508$	−0.332201	−	1.02241i	−0.0147390	−	0.0453621i
$509$	20.9145	+	15.1953i	0.927018	+	0.673518i	0.945261	−	0.326315i	$-0.105807\pi$
$509$	20.9145	+	15.1953i	0.927018	+	0.673518i	−0.0182426	+	0.999834i	$0.505807\pi$
$510$	14.6342	−	10.6324i	0.648015	−	0.470811i
$511$	−1.95212	+	6.00801i	−0.0863567	+	0.265779i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−7.75589	+	5.63499i	−0.342431	+	0.248791i
$514$	−0.266727	−	0.193789i	−0.0117648	−	0.00854766i
$515$	−8.01417	−	24.6651i	−0.353147	−	1.08687i
$516$	9.57870			0.421679
$517$	26.1355	−	13.2960i	1.14944	−	0.584760i
$518$	−5.23048			−0.229814
$519$	−1.21110	−	3.72737i	−0.0531612	−	0.163613i
$520$	16.0130	+	11.6341i	0.702214	+	0.510189i
$521$	22.0140	−	15.9941i	0.964449	−	0.700713i	0.0102693	−	0.999947i	$-0.496731\pi$
$521$	22.0140	−	15.9941i	0.964449	−	0.700713i	0.954180	+	0.299234i	$0.0967311\pi$
$522$	−3.60522	+	11.0957i	−0.157796	+	0.485647i
$523$	10.3123	−	31.7381i	0.450927	−	1.38781i	−0.424924	−	0.905229i	$-0.639699\pi$
$523$	10.3123	−	31.7381i	0.450927	−	1.38781i	0.875851	−	0.482582i	$-0.160301\pi$
$524$	−7.23912	+	5.25953i	−0.316242	+	0.229763i
$525$	5.39375	+	3.91879i	0.235403	+	0.171030i
$526$	−0.0203284	−	0.0625645i	−0.000886362	−	0.00272794i
$527$	0.458430			0.0199695
$528$	−1.21360	−	7.69368i	−0.0528153	−	0.334824i
$529$	−8.30531			−0.361100
$530$	1.11966	+	3.44597i	0.0486351	+	0.149684i
$531$	14.6059	+	10.6118i	0.633840	+	0.460512i
$532$	−6.81018	+	4.94789i	−0.295259	+	0.214518i
$533$	−1.12516	+	3.46289i	−0.0487362	+	0.149994i
$534$	1.58737	−	4.88544i	0.0686924	−	0.211414i
$535$	8.01743	−	5.82501i	0.346624	−	0.251837i
$536$	−3.13786	−	2.27979i	−0.135535	−	0.0984719i
$537$	−5.50826	−	16.9527i	−0.237699	−	0.731562i
$538$	−30.8716			−1.33097
$539$	−2.34373	−	2.34668i	−0.100952	−	0.101079i
$540$	3.18862			0.137216
$541$	8.10318	+	24.9390i	0.348383	+	1.07221i	0.959748	+	0.280863i	$0.0906208\pi$
$541$	8.10318	+	24.9390i	0.348383	+	1.07221i	−0.611365	+	0.791349i	$0.709379\pi$
$542$	18.1685	+	13.2002i	0.780404	+	0.566997i
$543$	1.82960	−	1.32928i	0.0785155	−	0.0570448i
$544$	0.850142	−	2.61647i	0.0364495	−	0.112180i
$545$	8.07223	−	24.8438i	0.345776	−	1.06419i
$546$	−13.4313	+	9.75839i	−0.574805	+	0.417620i
$547$	17.9494	+	13.0410i	0.767459	+	0.557592i	0.901189	−	0.433426i	$-0.142695\pi$
$547$	17.9494	+	13.0410i	0.767459	+	0.557592i	−0.133730	+	0.991018i	$0.542695\pi$
$548$	−0.743641	−	2.28869i	−0.0317668	−	0.0977680i
$549$	3.43762			0.146714
$550$	6.65376	+	6.66213i	0.283717	+	0.284074i
$551$	39.0485			1.66352
$552$	−2.78187	−	8.56172i	−0.118404	−	0.364411i
$553$	0.595570	+	0.432707i	0.0253262	+	0.0184006i
$554$	15.6747	−	11.3883i	0.665952	−	0.483843i
$555$	−10.6274	+	32.7078i	−0.451108	+	1.38837i
$556$	0.575122	−	1.77004i	0.0243906	−	0.0750665i
$557$	−31.4298	+	22.8351i	−1.33172	+	0.967554i	−0.332019	+	0.943273i	$0.607730\pi$
$557$	−31.4298	+	22.8351i	−1.33172	+	0.967554i	−0.999705	+	0.0242819i	$0.992270\pi$
$558$	−0.339054	−	0.246337i	−0.0143533	−	0.0104283i
$559$	−8.91043	−	27.4235i	−0.376871	−	1.15989i
$560$	2.79981			0.118314
$561$	3.33877	+	21.1662i	0.140963	+	0.893638i
$562$	28.2804			1.19294
$563$	−0.417209	−	1.28404i	−0.0175832	−	0.0541157i	0.941880	−	0.335950i	$-0.109057\pi$
$563$	−0.417209	−	1.28404i	−0.0175832	−	0.0541157i	−0.959463	+	0.281834i	$0.909057\pi$
$564$	−16.7976	−	12.2042i	−0.707307	−	0.513889i
$565$	−28.2591	+	20.5315i	−1.18887	+	0.863765i
$566$	0.489187	−	1.50556i	0.0205621	−	0.0632835i
$567$	−3.15805	+	9.71949i	−0.132626	+	0.408180i
$568$	−2.28304	+	1.65872i	−0.0957941	+	0.0695985i
$569$	−14.9311	−	10.8481i	−0.625945	−	0.454775i	0.229048	−	0.973415i	$-0.426439\pi$
$569$	−14.9311	−	10.8481i	−0.625945	−	0.454775i	−0.854993	+	0.518640i	$0.826439\pi$
$570$	17.1036	+	52.6394i	0.716390	+	2.20482i
$571$	26.0930			1.09196			0.545979	−	0.837799i	$-0.316158\pi$
$571$	26.0930			1.09196			0.545979	+	0.837799i	$0.316158\pi$
$572$	−20.8978	+	10.6314i	−0.873781	+	0.444522i
$573$	−46.6010			−1.94679
$574$	0.159159	+	0.489840i	0.00664316	+	0.0204455i
$575$	8.80434	+	6.39673i	0.367166	+	0.266762i
$576$	−2.03472	+	1.47831i	−0.0847799	+	0.0615962i
$577$	−5.55507	+	17.0967i	−0.231261	+	0.711747i	0.766335	+	0.642441i	$0.222078\pi$
$577$	−5.55507	+	17.0967i	−0.231261	+	0.711747i	−0.997595	+	0.0693055i	$0.977922\pi$
$578$	2.91445	−	8.96976i	0.121225	−	0.373093i
$579$	27.9486	−	20.3059i	1.16151	−	0.843883i
$580$	−10.5073	−	7.63397i	−0.436290	−	0.316984i
$581$	4.99080	+	15.3601i	0.207053	+	0.637244i
$582$	27.4389			1.13738
$583$	−4.23886	−	0.674101i	−0.175556	−	0.0279184i
$584$	6.31719			0.261407
$585$	15.3830	+	47.3442i	0.636011	+	1.95744i
$586$	−7.92633	−	5.75882i	−0.327434	−	0.237895i
$587$	−28.7007	+	20.8523i	−1.18460	+	0.860665i	−0.992683	−	0.120746i	$-0.961471\pi$
$587$	−28.7007	+	20.8523i	−1.18460	+	0.860665i	−0.191920	+	0.981411i	$0.561471\pi$
$588$	−0.725700	+	2.23347i	−0.0299274	+	0.0921069i
$589$	−0.433459	+	1.33405i	−0.0178604	+	0.0549685i
$590$	−16.2596	+	11.8133i	−0.669397	+	0.486345i
$591$	−10.0162	−	7.27720i	−0.412012	−	0.299344i
$592$	1.61631	+	4.97448i	0.0664298	+	0.204450i
$593$	−29.8321			−1.22506			−0.612529	−	0.790448i	$-0.709848\pi$
$593$	−29.8321			−1.22506			−0.612529	+	0.790448i	$0.709848\pi$
$594$	−1.71693	+	3.36443i	−0.0704463	+	0.138044i
$595$	−7.70261			−0.315776
$596$	3.75517	+	11.5572i	0.153818	+	0.473403i
$597$	−36.8106	−	26.7444i	−1.50656	−	1.09458i
$598$	−21.9241	+	15.9288i	−0.896545	+	0.651378i
$599$	1.29459	−	3.98434i	0.0528956	−	0.162796i	−0.921119	−	0.389281i	$-0.872723\pi$
$599$	1.29459	−	3.98434i	0.0528956	−	0.162796i	0.974015	+	0.226485i	$0.0727235\pi$
$600$	2.06023	−	6.34074i	0.0841086	−	0.258860i
$601$	3.19170	−	2.31891i	0.130192	−	0.0945902i	−0.520783	−	0.853689i	$-0.674360\pi$
$601$	3.19170	−	2.31891i	0.130192	−	0.0945902i	0.650976	+	0.759099i	$0.274360\pi$
$602$	−3.29981	−	2.39745i	−0.134490	−	0.0977130i
$603$	−3.01443	−	9.27745i	−0.122757	−	0.377807i
$604$	1.89142			0.0769609
$605$	−29.3025	+	9.48027i	−1.19132	+	0.385428i
$606$	25.9956			1.05600
$607$	−10.6344	−	32.7294i	−0.431639	−	1.32845i	−0.896492	−	0.443060i	$-0.853893\pi$
$607$	−10.6344	−	32.7294i	−0.431639	−	1.32845i	0.464854	−	0.885388i	$-0.346107\pi$
$608$	6.81018	+	4.94789i	0.276189	+	0.200663i
$609$	8.81323	−	6.40319i	0.357130	−	0.259470i
$610$	−1.18256	+	3.63954i	−0.0478804	+	0.147361i
$611$	−19.3145	+	59.4438i	−0.781379	+	2.40484i
$612$	5.59774	−	4.06700i	0.226275	−	0.164399i
$613$	−22.2584	−	16.1717i	−0.899008	−	0.653167i	0.0392034	−	0.999231i	$-0.487518\pi$
$613$	−22.2584	−	16.1717i	−0.899008	−	0.653167i	−0.938211	+	0.346064i	$0.887518\pi$
$614$	6.59708	+	20.3037i	0.266237	+	0.819392i
$615$	3.38651			0.136557
$616$	−1.50757	+	2.95419i	−0.0607418	+	0.119028i
$617$	8.64906			0.348198			0.174099	−	0.984728i	$-0.444299\pi$
$617$	8.64906			0.348198			0.174099	+	0.984728i	$0.444299\pi$
$618$	−6.72209	−	20.6885i	−0.270402	−	0.832212i
$619$	13.1447	+	9.55019i	0.528331	+	0.383855i	0.819733	−	0.572746i	$-0.194122\pi$
$619$	13.1447	+	9.55019i	0.528331	+	0.383855i	−0.291402	+	0.956601i	$0.594122\pi$
$620$	0.377443	−	0.274228i	0.0151585	−	0.0110133i
$621$	−1.34907	+	4.15202i	−0.0541365	+	0.166615i
$622$	−0.967108	+	2.97645i	−0.0387775	+	0.119345i
$623$	−1.76962	+	1.28570i	−0.0708983	+	0.0515107i
$624$	13.4313	+	9.75839i	0.537681	+	0.390648i
$625$	−9.62128	−	29.6112i	−0.384851	−	1.18445i
$626$	34.2939			1.37066
$627$	−64.7513	−	10.2973i	−2.58592	−	0.411235i
$628$	1.39152			0.0555277
$629$	−4.44665	−	13.6854i	−0.177299	−	0.545671i
$630$	5.69683	+	4.13899i	0.226967	+	0.164901i
$631$	−7.86645	+	5.71531i	−0.313159	+	0.227523i	−0.733251	−	0.679959i	$-0.761998\pi$
$631$	−7.86645	+	5.71531i	−0.313159	+	0.227523i	0.420092	+	0.907481i	$0.361998\pi$
$632$	0.227488	−	0.700135i	0.00904897	−	0.0278499i
$633$	−1.47051	+	4.52575i	−0.0584473	+	0.179882i
$634$	−4.35573	+	3.16462i	−0.172988	+	0.125683i
$635$	2.43503	+	1.76916i	0.0966314	+	0.0702068i
$636$	0.939147	+	2.89040i	0.0372396	+	0.114612i
$637$	7.06943			0.280101
$638$	13.7126	−	6.97606i	0.542886	−	0.276185i
$639$	−7.09744			−0.280770
$640$	−0.865190	−	2.66278i	−0.0341996	−	0.105256i
$641$	29.3227	+	21.3042i	1.15818	+	0.841466i	0.989547	−	0.144214i	$-0.0460652\pi$
$641$	29.3227	+	21.3042i	1.15818	+	0.841466i	0.168632	+	0.985679i	$0.446065\pi$
$642$	6.72482	−	4.88587i	0.265408	−	0.192830i
$643$	−5.45118	+	16.7770i	−0.214974	+	0.661621i	0.784182	+	0.620531i	$0.213083\pi$
$643$	−5.45118	+	16.7770i	−0.214974	+	0.661621i	−0.999155	+	0.0410899i	$0.986917\pi$
$644$	−1.18458	+	3.64575i	−0.0466788	+	0.143663i
$645$	−21.6967	+	15.7636i	−0.854306	+	0.620689i
$646$	−18.7356	−	13.6122i	−0.737142	−	0.535565i
$647$	1.51784	+	4.67144i	0.0596726	+	0.183653i	0.976449	−	0.215747i	$-0.0692185\pi$
$647$	1.51784	+	4.67144i	0.0596726	+	0.183653i	−0.916777	+	0.399400i	$0.869218\pi$
$648$	10.2197			0.401467
$649$	−3.70959	−	23.5170i	−0.145614	−	0.923124i
$650$	−20.0698			−0.787203
$651$	0.120926	+	0.372173i	0.00473948	+	0.0145866i
$652$	−16.8958	−	12.2755i	−0.661692	−	0.480747i
$653$	14.5477	−	10.5695i	0.569294	−	0.413616i	−0.265555	−	0.964096i	$-0.585555\pi$
$653$	14.5477	−	10.5695i	0.569294	−	0.413616i	0.834849	+	0.550479i	$0.185555\pi$
$654$	6.77078	−	20.8383i	0.264759	−	0.814843i
$655$	7.74176	−	23.8267i	0.302495	−	0.930985i
$656$	0.416683	−	0.302738i	0.0162687	−	0.0118199i
$657$	12.8537	+	9.33876i	0.501470	+	0.364340i
$658$	2.73211	+	8.40856i	0.106509	+	0.327800i
$659$	−22.2434			−0.866479			−0.433239	−	0.901279i	$-0.642630\pi$
$659$	−22.2434			−0.866479			−0.433239	+	0.901279i	$0.642630\pi$
$660$	15.4103	+	15.4297i	0.599846	+	0.600601i
$661$	−1.93849			−0.0753984			−0.0376992	−	0.999289i	$-0.512003\pi$
$661$	−1.93849			−0.0753984			−0.0376992	+	0.999289i	$0.512003\pi$
$662$	1.61269	+	4.96336i	0.0626791	+	0.192907i
$663$	−36.9510	−	26.8465i	−1.43506	−	1.04263i
$664$	13.0661	−	9.49306i	0.507062	−	0.368402i
$665$	7.28304	−	22.4149i	0.282424	−	0.869212i
$666$	−4.06509	+	12.5111i	−0.157519	+	0.484794i
$667$	14.3860	−	10.4521i	0.557029	−	0.404705i
$668$	11.7932	+	8.56830i	0.456294	+	0.331517i
$669$	16.8518	+	51.8645i	0.651528	+	2.00520i
$670$	10.8594			0.419534
$671$	−3.20346	−	3.20749i	−0.123668	−	0.123824i
$672$	2.34841			0.0905920
$673$	−8.18939	−	25.2043i	−0.315678	−	0.971556i	−0.975475	−	0.220112i	$-0.929358\pi$
$673$	−8.18939	−	25.2043i	−0.315678	−	0.971556i	0.659797	−	0.751444i	$-0.270642\pi$
$674$	−24.2577	−	17.6242i	−0.934370	−	0.678860i
$675$	−2.61571	+	1.90042i	−0.100679	+	0.0731474i
$676$	11.4265	−	35.1671i	0.439480	−	1.35258i
$677$	−5.75112	+	17.7001i	−0.221033	+	0.680271i	0.777637	+	0.628714i	$0.216418\pi$
$677$	−5.75112	+	17.7001i	−0.221033	+	0.680271i	−0.998670	+	0.0515568i	$0.983582\pi$
$678$	−23.7031	+	17.2213i	−0.910310	+	0.661379i
$679$	−9.45256	−	6.86769i	−0.362756	−	0.263558i
$680$	2.38024	+	7.32562i	0.0912780	+	0.280925i
$681$	37.6075			1.44112
$682$	0.0861126	+	0.545914i	0.00329742	+	0.0209041i
$683$	−19.4848			−0.745566			−0.372783	−	0.927918i	$-0.621596\pi$
$683$	−19.4848			−0.745566			−0.372783	+	0.927918i	$0.621596\pi$
$684$	6.54229	+	20.1351i	0.250151	+	0.769885i
$685$	5.45089	+	3.96030i	0.208268	+	0.151315i
$686$	0.809017	−	0.587785i	0.0308884	−	0.0224417i
$687$	0.828843	−	2.55092i	0.0316223	−	0.0973235i
$688$	−1.26042	+	3.87916i	−0.0480529	+	0.147892i
$689$	7.40148	−	5.37749i	0.281974	−	0.204866i
$690$	20.3911	+	14.8150i	0.776278	+	0.563999i
$691$	−2.22448	−	6.84623i	−0.0846230	−	0.260443i	0.899788	−	0.436328i	$-0.143721\pi$
$691$	−2.22448	−	6.84623i	−0.0846230	−	0.260443i	−0.984411	+	0.175885i	$0.943721\pi$
$692$	1.66887			0.0634408
$693$	−7.43468	+	3.78228i	−0.282420	+	0.143677i
$694$	10.2234			0.388077
$695$	1.61023	+	4.95579i	0.0610796	+	0.187984i
$696$	−8.81323	−	6.40319i	−0.334065	−	0.242712i
$697$	−1.14634	+	0.832867i	−0.0434208	+	0.0315471i
$698$	6.36356	−	19.5850i	0.240864	−	0.741304i
$699$	6.32073	−	19.4532i	0.239072	−	0.735788i
$700$	−2.29676	+	1.66870i	−0.0868095	+	0.0630708i
$701$	−30.3805	−	22.0727i	−1.14746	−	0.833676i	−0.159316	−	0.987228i	$-0.550929\pi$
$701$	−30.3805	−	22.0727i	−1.14746	−	0.833676i	−0.988141	+	0.153552i	$0.950929\pi$
$702$	−2.48794	−	7.65710i	−0.0939013	−	0.288998i
$703$	44.0294			1.66060
$704$	3.27546	+	0.520893i	0.123449	+	0.0196319i
$705$	58.1325			2.18940
$706$	2.72749	+	8.39434i	0.102650	+	0.315925i
$707$	−8.95536	−	6.50645i	−0.336801	−	0.244700i
$708$	−13.6381	+	9.90869i	−0.512553	+	0.372392i
$709$	−12.1565	+	37.4139i	−0.456548	+	1.40511i	0.412761	+	0.910839i	$0.364565\pi$
$709$	−12.1565	+	37.4139i	−0.456548	+	1.40511i	−0.869309	+	0.494270i	$0.835435\pi$
$710$	2.44156	−	7.51434i	0.0916300	−	0.282008i
$711$	1.49789	−	1.08828i	0.0561752	−	0.0408136i
$712$	1.76962	+	1.28570i	0.0663193	+	0.0481838i
$713$	0.197391	+	0.607507i	0.00739235	+	0.0227513i
$714$	−6.46076			−0.241788
$715$	29.8395	−	58.4725i	1.11594	−	2.18675i
$716$	7.59027			0.283662
$717$	−10.0448	−	30.9146i	−0.375128	−	1.15453i
$718$	15.2205	+	11.0583i	0.568022	+	0.412692i
$719$	−20.0862	+	14.5935i	−0.749091	+	0.544246i	−0.895545	−	0.444971i	$-0.853214\pi$
$719$	−20.0862	+	14.5935i	−0.749091	+	0.544246i	0.146454	+	0.989217i	$0.453214\pi$
$720$	2.17599	−	6.69702i	0.0810945	−	0.249583i
$721$	−2.86239	+	8.80954i	−0.106601	+	0.328085i
$722$	41.9558	−	30.4826i	1.56143	−	1.13445i
$723$	−15.5069	−	11.2664i	−0.576708	−	0.419003i
$724$	0.297581	+	0.915860i	0.0110595	+	0.0340377i
$725$	13.1693			0.489094
$726$	−24.5782	+	7.95182i	−0.912184	+	0.295120i
$727$	−26.7888			−0.993542			−0.496771	−	0.867882i	$-0.665481\pi$
$727$	−26.7888			−0.993542			−0.496771	+	0.867882i	$0.665481\pi$
$728$	−2.18458	−	6.72343i	−0.0809657	−	0.249187i
$729$	14.3029	+	10.3917i	0.529738	+	0.384877i
$730$	−14.3091	+	10.3961i	−0.529602	+	0.384778i
$731$	3.46755	−	10.6720i	0.128252	−	0.394719i
$732$	−0.991902	+	3.05276i	−0.0366617	+	0.112833i
$733$	24.3576	−	17.6968i	0.899668	−	0.653647i	−0.0387124	−	0.999250i	$-0.512326\pi$
$733$	24.3576	−	17.6968i	0.899668	−	0.653647i	0.938381	+	0.345603i	$0.112326\pi$
$734$	26.1432	+	18.9942i	0.964965	+	0.701088i
$735$	−2.03182	−	6.25331i	−0.0749450	−	0.230657i
$736$	3.83337			0.141300
$737$	−5.84728	+	11.4581i	−0.215387	+	0.422066i
$738$	1.29537			0.0476833
$739$	−5.25941	−	16.1868i	−0.193470	−	0.595441i	−0.999991	−	0.00423486i	$-0.998652\pi$
$739$	−5.25941	−	16.1868i	−0.193470	−	0.595441i	0.806521	−	0.591206i	$-0.201348\pi$
$740$	−11.8475	−	8.60774i	−0.435524	−	0.316427i
$741$	113.062	−	82.1446i	4.15345	−	3.01766i
$742$	0.399907	−	1.23079i	0.0146810	−	0.0451836i
$743$	−2.35354	+	7.24345i	−0.0863430	+	0.265736i	−0.984901	−	0.173118i	$-0.944616\pi$
$743$	−2.35354	+	7.24345i	−0.0863430	+	0.265736i	0.898558	+	0.438855i	$0.144616\pi$
$744$	0.316590	−	0.230016i	0.0116067	−	0.00843279i
$745$	−27.5255	−	19.9984i	−1.00845	−	0.732685i
$746$	10.6917	+	32.9057i	0.391451	+	1.20476i
$747$	40.6194			1.48619
$748$	−9.01119	−	1.43304i	−0.329482	−	0.0523970i
$749$	−3.53955			−0.129332
$750$	−4.39086	−	13.5137i	−0.160332	−	0.493450i
$751$	−3.65392	−	2.65473i	−0.133333	−	0.0968723i	0.519120	−	0.854702i	$-0.326260\pi$
$751$	−3.65392	−	2.65473i	−0.133333	−	0.0968723i	−0.652453	+	0.757829i	$0.726260\pi$
$752$	7.15275	−	5.19678i	0.260834	−	0.189507i
$753$	−0.144458	+	0.444597i	−0.00526435	+	0.0162020i
$754$	−10.1337	+	31.1885i	−0.369049	+	1.13582i
$755$	−4.28426	+	3.11270i	−0.155920	+	0.113283i
$756$	−0.921363	−	0.669409i	−0.0335096	−	0.0243462i
$757$	2.46295	+	7.58019i	0.0895176	+	0.275507i	0.985786	−	0.168005i	$-0.0537325\pi$
$757$	2.46295	+	7.58019i	0.0895176	+	0.275507i	−0.896269	+	0.443512i	$0.853732\pi$
$758$	−31.1473			−1.13132
$759$	−26.6116	+	13.5382i	−0.965940	+	0.491407i
$760$	−23.5684			−0.854916
$761$	−5.37175	−	16.5326i	−0.194726	−	0.599305i	−0.999980	−	0.00637450i	$-0.997971\pi$
$761$	−5.37175	−	16.5326i	−0.194726	−	0.599305i	0.805254	−	0.592930i	$-0.202029\pi$
$762$	2.04245	+	1.48392i	0.0739900	+	0.0537569i
$763$	−7.54813	+	5.48404i	−0.273261	+	0.198536i
$764$	6.13201	−	18.8724i	0.221848	−	0.682779i
$765$	−5.98641	+	18.4243i	−0.216439	+	0.666132i
$766$	4.72586	−	3.43354i	0.170752	−	0.124059i
$767$	41.0549	+	29.8282i	1.48241	+	1.07703i
$768$	−0.725700	−	2.23347i	−0.0261864	−	0.0805936i
$769$	−12.5888			−0.453965			−0.226982	−	0.973899i	$-0.572886\pi$
$769$	−12.5888			−0.453965			−0.226982	+	0.973899i	$0.572886\pi$
$770$	−1.44688	−	9.17252i	−0.0521418	−	0.330555i
$771$	0.774256			0.0278842
$772$	4.54580	+	13.9905i	0.163607	+	0.503531i
$773$	26.4990	+	19.2526i	0.953102	+	0.692469i	0.951538	−	0.307530i	$-0.0995024\pi$
$773$	26.4990	+	19.2526i	0.953102	+	0.692469i	0.00156331	+	0.999999i	$0.499502\pi$
$774$	−8.29919	+	6.02972i	−0.298308	+	0.216734i
$775$	−0.146186	+	0.449914i	−0.00525115	+	0.0161614i
$776$	−3.61056	+	11.1122i	−0.129611	+	0.398903i
$777$	9.93742	−	7.21996i	0.356503	−	0.259015i
$778$	−22.8633	−	16.6111i	−0.819688	−	0.595539i
$779$	−1.33977	−	4.12340i	−0.0480024	−	0.147736i
$780$	−46.4824			−1.66434
$781$	6.61399	+	6.62231i	0.236667	+	0.236965i
$782$	−10.5460			−0.377125
$783$	1.63252	+	5.02438i	0.0583415	+	0.179557i
$784$	−0.809017	−	0.587785i	−0.0288935	−	0.0209923i
$785$	−3.15193	+	2.29001i	−0.112497	+	0.0817340i
$786$	6.49359	−	19.9852i	0.231619	−	0.712849i
$787$	2.56955	−	7.90827i	0.0915947	−	0.281899i	−0.894757	−	0.446554i	$-0.852651\pi$
$787$	2.56955	−	7.90827i	0.0915947	−	0.281899i	0.986351	+	0.164655i	$0.0526510\pi$
$788$	4.26510	−	3.09877i	0.151938	−	0.110389i
$789$	0.124984	+	0.0908061i	0.00444954	+	0.00323278i
$790$	0.636923	+	1.96025i	0.0226607	+	0.0697424i
$791$	12.4759			0.443592
$792$	5.89460	+	5.90202i	0.209456	+	0.209719i
$793$	9.66265			0.343131
$794$	−3.17665	−	9.77674i	−0.112735	−	0.346963i
$795$	−6.88395	−	5.00148i	−0.244149	−	0.177384i
$796$	15.6747	−	11.3883i	0.555573	−	0.403648i
$797$	−11.8355	+	36.4259i	−0.419235	+	1.29027i	0.489173	+	0.872187i	$0.337299\pi$
$797$	−11.8355	+	36.4259i	−0.419235	+	1.29027i	−0.908408	+	0.418086i	$0.862701\pi$
$798$	6.10883	−	18.8010i	0.216250	−	0.665550i
$799$	−19.6780	+	14.2969i	−0.696159	+	0.505789i
$800$	2.29676	+	1.66870i	0.0812029	+	0.0589973i
$801$	1.70001	+	5.23209i	0.0600668	+	0.184867i
$802$	−13.2880			−0.469217
$803$	−3.26457	−	20.6959i	−0.115204	−	0.730341i
$804$	9.10858			0.321235
$805$	−3.31659	−	10.2074i	−0.116894	−	0.359764i
$806$	−0.953030	−	0.692417i	−0.0335691	−	0.0243894i
$807$	58.6531	−	42.6140i	2.06469	−	1.50008i
$808$	−3.42064	+	10.5277i	−0.120338	+	0.370362i
$809$	−4.78071	+	14.7135i	−0.168081	+	0.517299i	−0.999250	−	0.0387200i	$-0.987672\pi$
$809$	−4.78071	+	14.7135i	−0.168081	+	0.517299i	0.831169	+	0.556019i	$0.187672\pi$
$810$	−23.1486	+	16.8184i	−0.813357	+	0.590939i
$811$	18.4443	+	13.4005i	0.647666	+	0.470557i	0.862475	−	0.506099i	$-0.168913\pi$
$811$	18.4443	+	13.4005i	0.647666	+	0.470557i	−0.214809	+	0.976656i	$0.568913\pi$
$812$	1.43346	+	4.41173i	0.0503045	+	0.154821i
$813$	−52.7395			−1.84966
$814$	15.4617	−	7.86590i	0.541933	−	0.275700i
$815$	58.4724			2.04820
$816$	1.99648	+	6.14455i	0.0698909	+	0.215102i
$817$	27.7773	+	20.1814i	0.971806	+	0.706058i
$818$	14.1763	−	10.2997i	0.495662	−	0.360120i
$819$	5.49431	−	16.9098i	0.191987	−	0.590875i
$820$	−0.445615	+	1.37146i	−0.0155615	+	0.0478935i
$821$	1.91744	−	1.39310i	0.0669190	−	0.0486195i	−0.553823	−	0.832635i	$-0.686832\pi$
$821$	1.91744	−	1.39310i	0.0669190	−	0.0486195i	0.620742	+	0.784015i	$0.286832\pi$
$822$	4.57207	+	3.32180i	0.159469	+	0.115861i
$823$	13.0944	+	40.3004i	0.456442	+	1.40478i	0.869434	+	0.494050i	$0.164484\pi$
$823$	13.0944	+	40.3004i	0.456442	+	1.40478i	−0.412991	+	0.910735i	$0.635516\pi$
$824$	9.26290			0.322689
$825$	−21.8377	−	3.47281i	−0.760290	−	0.120908i
$826$	7.17832			0.249766
$827$	15.6031	+	48.0215i	0.542574	+	1.66987i	0.726690	+	0.686966i	$0.241058\pi$
$827$	15.6031	+	48.0215i	0.542574	+	1.66987i	−0.184116	+	0.982904i	$0.558942\pi$
$828$	7.79981	+	5.66690i	0.271062	+	0.196938i
$829$	−9.29818	+	6.75553i	−0.322939	+	0.234629i	−0.737429	−	0.675425i	$-0.763960\pi$
$829$	−9.29818	+	6.75553i	−0.322939	+	0.234629i	0.414489	+	0.910054i	$0.363960\pi$
$830$	−13.9733	+	43.0054i	−0.485020	+	1.49274i
$831$	−14.0604	+	43.2734i	−0.487749	+	1.50114i
$832$	−5.71929	+	4.15531i	−0.198281	+	0.144059i
$833$	2.22570	+	1.61707i	0.0771159	+	0.0560280i
$834$	1.35062	+	4.15679i	0.0467683	+	0.143938i
$835$	−40.8136			−1.41241
$836$	12.6905	−	24.8679i	0.438911	−	0.860074i
$837$	−0.189774			−0.00655956
$838$	4.81558	+	14.8208i	0.166352	+	0.511977i
$839$	−6.60009	−	4.79525i	−0.227861	−	0.165550i	0.467997	−	0.883730i	$-0.344976\pi$
$839$	−6.60009	−	4.79525i	−0.227861	−	0.165550i	−0.695858	+	0.718179i	$0.744976\pi$
$840$	−5.31939	+	3.86476i	−0.183536	+	0.133347i
$841$	−2.31201	+	7.11562i	−0.0797244	+	0.245366i
$842$	−2.91496	+	8.97131i	−0.100456	+	0.309172i
$843$	−53.7301	+	39.0372i	−1.85056	+	1.34451i
$844$	−1.63933	−	1.19105i	−0.0564282	−	0.0409975i
$845$	31.9920	+	98.4614i	1.10056	+	3.38717i
$846$	22.2363			0.764498
$847$	10.4573	+	3.41233i	0.359319	+	0.117249i
$848$	−1.29413			−0.0444405
$849$	1.14881	+	3.53568i	0.0394272	+	0.121344i
$850$	−6.31867	−	4.59078i	−0.216728	−	0.157462i
$851$	16.2211	−	11.7853i	0.556051	−	0.403995i
$852$	2.04792	−	6.30284i	0.0701605	−	0.215932i
$853$	−0.301386	+	0.927572i	−0.0103193	+	0.0317595i	−0.956084	−	0.293094i	$-0.905315\pi$
$853$	−0.301386	+	0.927572i	−0.0103193	+	0.0317595i	0.945764	+	0.324854i	$0.105315\pi$
$854$	1.10578	−	0.803397i	0.0378391	−	0.0274917i
$855$	−47.9550	−	34.8414i	−1.64003	−	1.19155i
$856$	1.09378	+	3.36632i	0.0373847	+	0.115058i
$857$	−2.78662			−0.0951890			−0.0475945	−	0.998867i	$-0.515156\pi$
$857$	−2.78662			−0.0951890			−0.0475945	+	0.998867i	$0.515156\pi$
$858$	25.0287	−	49.0453i	0.854464	−	1.67438i
$859$	−45.8422			−1.56412			−0.782058	−	0.623206i	$-0.785830\pi$
$859$	−45.8422			−1.56412			−0.782058	+	0.623206i	$0.785830\pi$
$860$	−3.52893	−	10.8609i	−0.120336	−	0.370355i
$861$	−0.978544	−	0.710954i	−0.0333487	−	0.0242292i
$862$	−7.32828	+	5.32431i	−0.249602	+	0.181347i
$863$	9.74524	−	29.9928i	0.331732	−	1.02097i	−0.636578	−	0.771212i	$-0.719651\pi$
$863$	9.74524	−	29.9928i	0.331732	−	1.02097i	0.968310	−	0.249753i	$-0.0803494\pi$
$864$	−0.351929	+	1.08313i	−0.0119729	+	0.0368487i
$865$	−3.78015	+	2.74644i	−0.128529	+	0.0933816i
$866$	6.77663	+	4.92351i	0.230279	+	0.167308i
$867$	6.84434	+	21.0647i	0.232446	+	0.715395i
$868$	−0.166634			−0.00565594
$869$	−2.41128	−	0.383463i	−0.0817972	−	0.0130081i
$870$	30.5005			1.03406
$871$	−8.47311	−	26.0776i	−0.287100	−	0.883604i
$872$	7.54813	+	5.48404i	0.255612	+	0.185713i
$873$	−23.7737	+	17.2726i	−0.804616	+	0.584588i
$874$	9.97157	−	30.6893i	0.337293	−	1.03808i
$875$	−1.86971	+	5.75439i	−0.0632078	+	0.194534i
$876$	−12.0021	+	8.72002i	−0.405513	+	0.294622i
$877$	−0.0504251	−	0.0366360i	−0.00170273	−	0.00123711i	0.586934	−	0.809635i	$-0.300335\pi$
$877$	−0.0504251	−	0.0366360i	−0.00170273	−	0.00123711i	−0.588636	+	0.808398i	$0.700335\pi$
$878$	−7.19673	−	22.1493i	−0.242878	−	0.747501i
$879$	23.0085			0.776059
$880$	−8.27647	+	4.21053i	−0.279000	+	0.141937i
$881$	43.9643			1.48119			0.740597	−	0.671950i	$-0.234543\pi$
$881$	43.9643			1.48119			0.740597	+	0.671950i	$0.234543\pi$
$882$	−0.777193	−	2.39195i	−0.0261694	−	0.0805413i
$883$	32.8520	+	23.8684i	1.10556	+	0.803235i	0.981958	−	0.189097i	$-0.0605561\pi$
$883$	32.8520	+	23.8684i	1.10556	+	0.803235i	0.123600	+	0.992332i	$0.460556\pi$
$884$	15.7344	−	11.4317i	0.529206	−	0.384491i
$885$	14.5851	−	44.8883i	0.490273	−	1.50890i
$886$	11.4937	−	35.3739i	0.386138	−	1.18841i
$887$	−32.8012	+	23.8314i	−1.10136	+	0.800182i	−0.981281	−	0.192583i	$-0.938313\pi$
$887$	−32.8012	+	23.8314i	−1.10136	+	0.800182i	−0.120075	+	0.992765i	$0.538313\pi$
$888$	−9.93742	−	7.21996i	−0.333478	−	0.242286i
$889$	−0.332201	−	1.02241i	−0.0111417	−	0.0342905i
$890$	−6.12423			−0.205285
$891$	−5.28128	−	33.4809i	−0.176930	−	1.12165i
$892$	−23.2214			−0.777511
$893$	−22.9985	−	70.7820i	−0.769614	−	2.36863i
$894$	−23.0877	−	16.7742i	−0.772167	−	0.561012i
$895$	−17.1927	+	12.4912i	−0.574688	+	0.417535i
$896$	−0.309017	+	0.951057i	−0.0103235	+	0.0317726i
$897$	19.6663	−	60.5265i	0.656637	−	2.02092i
$898$	−21.1619	+	15.3750i	−0.706182	+	0.513071i
$899$	0.625353	+	0.454345i	0.0208567	+	0.0151533i
$900$	2.20642	+	6.79065i	0.0735472	+	0.226355i
$901$	3.56029			0.118610
$902$	−1.20714	−	1.20865i	−0.0401932	−	0.0402438i
$903$	9.57870			0.318759
$904$	−3.85527	−	11.8653i	−0.128224	−	0.394634i
$905$	−2.18127	−	1.58479i	−0.0725079	−	0.0526801i
$906$	−3.59353	+	2.61085i	−0.119387	+	0.0867397i
$907$	−3.20964	+	9.87827i	−0.106574	+	0.328002i	−0.990097	−	0.140387i	$-0.955165\pi$
$907$	−3.20964	+	9.87827i	−0.106574	+	0.328002i	0.883522	+	0.468389i	$0.155165\pi$
$908$	−4.94860	+	15.2302i	−0.164225	+	0.505433i
$909$	−22.5232	+	16.3640i	−0.747046	+	0.542761i
$910$	16.0130	+	11.6341i	0.530824	+	0.385666i
$911$	−3.48400	−	10.7227i	−0.115430	−	0.355258i	0.876606	−	0.481208i	$-0.159802\pi$
$911$	−3.48400	−	10.7227i	−0.115430	−	0.355258i	−0.992037	+	0.125951i	$0.959802\pi$
$912$	−19.7686			−0.654603
$913$	−37.8526	−	37.9002i	−1.25274	−	1.25431i
$914$	−29.1080			−0.962806
$915$	−2.77714	−	8.54716i	−0.0918094	−	0.282560i
$916$	0.924001	+	0.671326i	0.0305299	+	0.0221812i
$917$	−7.23912	+	5.25953i	−0.239057	+	0.173685i
$918$	0.968199	−	2.97981i	0.0319553	−	0.0983483i
$919$	−4.53085	+	13.9445i	−0.149459	+	0.459988i	−0.997557	−	0.0698511i	$-0.977748\pi$
$919$	−4.53085	+	13.9445i	−0.149459	+	0.459988i	0.848098	+	0.529839i	$0.177748\pi$
$920$	−8.68294	+	6.30853i	−0.286268	+	0.207986i
$921$	−40.5604	−	29.4688i	−1.33651	−	0.971031i
$922$	−9.54920	−	29.3894i	−0.314486	−	0.967889i
$923$	−19.9499			−0.656658
$924$	−1.21360	−	7.69368i	−0.0399246	−	0.253103i
$925$	14.8491			0.488235
$926$	−2.89362	−	8.90564i	−0.0950902	−	0.292657i
$927$	18.8474	+	13.6934i	0.619029	+	0.449751i
$928$	3.75284	−	2.72660i	0.123193	−	0.0895051i
$929$	9.25451	−	28.4825i	0.303631	−	0.934479i	−0.676554	−	0.736393i	$-0.736527\pi$
$929$	9.25451	−	28.4825i	0.303631	−	0.934479i	0.980185	−	0.198086i	$-0.0634726\pi$
$930$	−0.338572	+	1.04202i	−0.0111022	+	0.0341691i
$931$	−6.81018	+	4.94789i	−0.223195	+	0.162160i
$932$	7.04641	+	5.11951i	0.230813	+	0.167695i
$933$	−2.27117	−	6.98994i	−0.0743548	−	0.228840i
$934$	−15.0928			−0.493852
$935$	22.7695	−	11.5836i	0.744644	−	0.378826i
$936$	−17.7800			−0.581156
$937$	12.2319	+	37.6458i	0.399598	+	1.22984i	0.925323	+	0.379181i	$0.123794\pi$
$937$	12.2319	+	37.6458i	0.399598	+	1.22984i	−0.525725	+	0.850655i	$0.676206\pi$
$938$	−3.13786	−	2.27979i	−0.102455	−	0.0744377i
$939$	−65.1552	+	47.3380i	−2.12626	+	1.54482i
$940$	−7.64939	+	23.5424i	−0.249496	+	0.767869i
$941$	−2.19399	+	6.75242i	−0.0715221	+	0.220123i	−0.980428	−	0.196880i	$-0.936919\pi$
$941$	−2.19399	+	6.75242i	−0.0715221	+	0.220123i	0.908906	+	0.417002i	$0.136919\pi$
$942$	−2.64376	+	1.92080i	−0.0861383	+	0.0625832i
$943$	−1.59730	−	1.16050i	−0.0520152	−	0.0377912i
$944$	−2.21822	−	6.82699i	−0.0721970	−	0.222200i
$945$	3.18862			0.103726
$946$	13.3599	+	2.12461i	0.434369	+	0.0690772i
$947$	2.63695			0.0856893			0.0428447	−	0.999082i	$-0.486358\pi$
$947$	2.63695			0.0856893			0.0428447	+	0.999082i	$0.486358\pi$
$948$	0.534235	+	1.64421i	0.0173511	+	0.0534013i
$949$	36.1299	+	26.2499i	1.17282	+	0.852107i
$950$	19.3338	−	14.0468i	0.627272	−	0.455740i
$951$	3.90715	−	12.0250i	0.126698	−	0.389937i
$952$	0.850142	−	2.61647i	0.0275533	−	0.0848002i
$953$	16.1367	−	11.7240i	0.522720	−	0.379778i	−0.294908	−	0.955526i	$-0.595289\pi$
$953$	16.1367	−	11.7240i	0.522720	−	0.379778i	0.817628	+	0.575748i	$0.195289\pi$
$954$	−2.63318	−	1.91312i	−0.0852523	−	0.0619394i
$955$	17.1685	+	52.8392i	0.555560	+	1.70984i
$956$	13.8415			0.447665
$957$	−16.4231	+	32.1822i	−0.530884	+	1.04030i
$958$	17.7800			0.574445
$959$	−0.743641	−	2.28869i	−0.0240134	−	0.0739057i
$960$	5.31939	+	3.86476i	0.171682	+	0.124735i
$961$	25.0571	−	18.2050i	0.808292	−	0.587259i
$962$	−11.4264	+	35.1668i	−0.368401	+	1.13382i
$963$	−2.75092	+	8.46645i	−0.0886470	+	0.272827i
$964$	6.60314	−	4.79746i	0.212673	−	0.154516i
$965$	−33.3208	−	24.2090i	−1.07263	−	0.779314i
$966$	−2.78187	−	8.56172i	−0.0895053	−	0.275469i
$967$	9.78493			0.314662			0.157331	−	0.987546i	$-0.449711\pi$
$967$	9.78493			0.314662			0.157331	+	0.987546i	$0.449711\pi$
$968$	0.0138235	−	11.0000i	0.000444305	−	0.353553i
$969$	54.3857			1.74712
$970$	−10.1089	−	31.1120i	−0.324577	−	0.998945i
$971$	−5.01967	−	3.64700i	−0.161089	−	0.117038i	0.504321	−	0.863517i	$-0.331743\pi$
$971$	−5.01967	−	3.64700i	−0.161089	−	0.117038i	−0.665409	+	0.746479i	$0.731743\pi$
$972$	−16.6523	+	12.0986i	−0.534124	+	0.388064i
$973$	0.575122	−	1.77004i	0.0184376	−	0.0567450i
$974$	−6.84917	+	21.0796i	−0.219462	+	0.675433i
$975$	38.1308	−	27.7036i	1.22116	−	0.887226i
$976$	−1.10578	−	0.803397i	−0.0353952	−	0.0257161i
$977$	−18.4215	−	56.6955i	−0.589356	−	1.81385i	−0.581025	−	0.813886i	$-0.697348\pi$
$977$	−18.4215	−	56.6955i	−0.589356	−	1.81385i	−0.00833086	−	0.999965i	$-0.502652\pi$
$978$	49.0452			1.56829
$979$	3.29762	−	6.46190i	0.105392	−	0.206523i
$980$	2.79981			0.0894368
$981$	7.25121	+	22.3169i	0.231513	+	0.712525i
$982$	5.95313	+	4.32520i	0.189972	+	0.138023i
$983$	−21.6903	+	15.7589i	−0.691813	+	0.502632i	−0.877256	−	0.480023i	$-0.840628\pi$
$983$	−21.6903	+	15.7589i	−0.691813	+	0.502632i	0.185442	+	0.982655i	$0.440628\pi$
$984$	−0.373770	+	1.15035i	−0.0119154	+	0.0366717i
$985$	−4.56124	+	14.0380i	−0.145333	+	0.447289i
$986$	−10.3245	+	7.50120i	−0.328799	+	0.238887i
$987$	−16.7976	−	12.2042i	−0.534674	−	0.388464i
$988$	18.3894	+	56.5968i	0.585045	+	1.80058i
$989$	15.6355			0.497180
$990$	−23.0647	−	3.66795i	−0.733045	−	0.116575i
$991$	−46.5114			−1.47748			−0.738741	−	0.673989i	$-0.764579\pi$
$991$	−46.5114			−1.47748			−0.738741	+	0.673989i	$0.764579\pi$
$992$	0.0514928	+	0.158479i	0.00163490	+	0.00503170i
$993$	−9.91521	−	7.20382i	−0.314650	−	0.228606i
$994$	−2.28304	+	1.65872i	−0.0724136	+	0.0526115i
$995$	−16.7630	+	51.5912i	−0.531423	+	1.63555i
$996$	−11.7205	+	36.0719i	−0.371377	+	1.14298i
$997$	18.6456	−	13.5468i	0.590513	−	0.429033i	−0.251986	−	0.967731i	$-0.581084\pi$
$997$	18.6456	−	13.5468i	0.590513	−	0.429033i	0.842499	+	0.538698i	$0.181084\pi$
$998$	2.20308	+	1.60063i	0.0697372	+	0.0506671i
$999$	1.84076	+	5.66527i	0.0582390	+	0.179241i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	154.2.f.e.71.2	✓	8
11.3	even	5		1694.2.a.x.1.2		4
11.8	odd	10		1694.2.a.z.1.2		4
11.9	even	5	inner	154.2.f.e.141.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
154.2.f.e.71.2	✓	8	1.1	even	1	trivial
154.2.f.e.141.2	yes	8	11.9	even	5	inner
1694.2.a.x.1.2		4	11.3	even	5
1694.2.a.z.1.2		4	11.8	odd	10

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:	\( N \)	\(=\)	\( 154 = 2 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	154.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(1.89991 + 1.38036i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.865190 - 2.66278i) q^{5} +(0.725700 - 2.23347i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.777193 + 2.39195i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(1.89991 + 1.38036i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.865190 - 2.66278i) q^{5} +(0.725700 - 2.23347i) q^{6} +(-0.809017 + 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.777193 + 2.39195i) q^{9} -2.79981 q^{10} +(1.50757 - 2.95419i) q^{11} -2.34841 q^{12} +(2.18458 + 6.72343i) q^{13} +(0.809017 + 0.587785i) q^{14} +(5.31939 - 3.86476i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.850142 + 2.61647i) q^{17} +(2.03472 - 1.47831i) q^{18} +(-6.81018 - 4.94789i) q^{19} +(0.865190 + 2.66278i) q^{20} -2.34841 q^{21} +(-3.27546 - 0.520893i) q^{22} -3.83337 q^{23} +(0.725700 + 2.23347i) q^{24} +(-2.29676 - 1.66870i) q^{25} +(5.71929 - 4.15531i) q^{26} +(0.351929 - 1.08313i) q^{27} +(0.309017 - 0.951057i) q^{28} +(-3.75284 + 2.72660i) q^{29} +(-5.31939 - 3.86476i) q^{30} +(-0.0514928 - 0.158479i) q^{31} -1.00000 q^{32} +(6.94210 - 3.53168i) q^{33} +2.75112 q^{34} +(0.865190 + 2.66278i) q^{35} +(-2.03472 - 1.47831i) q^{36} +(-4.23154 + 3.07440i) q^{37} +(-2.60126 + 8.00585i) q^{38} +(-5.13029 + 15.7894i) q^{39} +(2.26510 - 1.64569i) q^{40} +(0.416683 + 0.302738i) q^{41} +(0.725700 + 2.23347i) q^{42} -4.07879 q^{43} +(0.516776 + 3.27612i) q^{44} +7.04167 q^{45} +(1.18458 + 3.64575i) q^{46} +(7.15275 + 5.19678i) q^{47} +(1.89991 - 1.38036i) q^{48} +(0.309017 - 0.951057i) q^{49} +(-0.877286 + 2.70001i) q^{50} +(-5.22686 + 3.79754i) q^{51} +(-5.71929 - 4.15531i) q^{52} +(-0.399907 - 1.23079i) q^{53} -1.13887 q^{54} +(-6.56202 - 6.57027i) q^{55} -1.00000 q^{56} +(-6.10883 - 18.8010i) q^{57} +(3.75284 + 2.72660i) q^{58} +(5.80739 - 4.21931i) q^{59} +(-2.03182 + 6.25331i) q^{60} +(0.422371 - 1.29992i) q^{61} +(-0.134810 + 0.0979452i) q^{62} +(-2.03472 - 1.47831i) q^{63} +(0.309017 + 0.951057i) q^{64} +19.7931 q^{65} +(-5.50406 - 5.51098i) q^{66} -3.87861 q^{67} +(-0.850142 - 2.61647i) q^{68} +(-7.28304 - 5.29144i) q^{69} +(2.26510 - 1.64569i) q^{70} +(-0.872043 + 2.68387i) q^{71} +(-0.777193 + 2.39195i) q^{72} +(5.11072 - 3.71315i) q^{73} +(4.23154 + 3.07440i) q^{74} +(-2.06023 - 6.34074i) q^{75} +8.41785 q^{76} +(0.516776 + 3.27612i) q^{77} +16.6020 q^{78} +(-0.227488 - 0.700135i) q^{79} +(-2.26510 - 1.64569i) q^{80} +(8.26789 - 6.00698i) q^{81} +(0.159159 - 0.489840i) q^{82} +(4.99080 - 15.3601i) q^{83} +(1.89991 - 1.38036i) q^{84} +(6.23154 + 4.52748i) q^{85} +(1.26042 + 3.87916i) q^{86} -10.8938 q^{87} +(2.95608 - 1.50386i) q^{88} +2.18737 q^{89} +(-2.17599 - 6.69702i) q^{90} +(-5.71929 - 4.15531i) q^{91} +(3.10126 - 2.25320i) q^{92} +(0.120926 - 0.372173i) q^{93} +(2.73211 - 8.40856i) q^{94} +(-19.0672 + 13.8532i) q^{95} +(-1.89991 - 1.38036i) q^{96} +(3.61056 + 11.1122i) q^{97} -1.00000 q^{98} +(8.23795 + 1.31007i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 5 q^{5} - 4 q^{6} - 2 q^{7} + 2 q^{8} - 7 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 5 * q^5 - 4 * q^6 - 2 * q^7 + 2 * q^8 - 7 * q^9	\( 8 q + 2 q^{2} - q^{3} - 2 q^{4} + 5 q^{5} - 4 q^{6} - 2 q^{7} + 2 q^{8} - 7 q^{9} + 10 q^{10} - 5 q^{11} - 6 q^{12} + 3 q^{13} + 2 q^{14} + 30 q^{15} - 2 q^{16} - 7 q^{17} + 2 q^{18} - 14 q^{19} + 5 q^{20} - 6 q^{21} - 20 q^{23} - 4 q^{24} - 25 q^{25} + 17 q^{26} + 32 q^{27} - 2 q^{28} - 23 q^{29} - 30 q^{30} + 3 q^{31} - 8 q^{32} + 40 q^{33} + 2 q^{34} + 5 q^{35} - 2 q^{36} + 6 q^{37} - q^{38} - 21 q^{39} - 2 q^{41} - 4 q^{42} - 16 q^{43} + 15 q^{44} - 40 q^{45} - 5 q^{46} + 34 q^{47} - q^{48} - 2 q^{49} - 10 q^{50} + 4 q^{51} - 17 q^{52} + 13 q^{53} + 48 q^{54} - 25 q^{55} - 8 q^{56} - 12 q^{57} + 23 q^{58} - 3 q^{59} - 25 q^{60} - 16 q^{61} - 3 q^{62} - 2 q^{63} - 2 q^{64} + 10 q^{65} + 15 q^{66} + 18 q^{67} - 7 q^{68} - 15 q^{69} + 45 q^{71} + 7 q^{72} + q^{73} - 6 q^{74} + 40 q^{75} + 26 q^{76} + 15 q^{77} - 4 q^{78} - 21 q^{79} + 57 q^{81} - 3 q^{82} + 12 q^{83} - q^{84} + 10 q^{85} - 14 q^{86} - 4 q^{87} + 10 q^{88} + 12 q^{89} - 40 q^{90} - 17 q^{91} + 5 q^{92} - 31 q^{93} + 31 q^{94} - 30 q^{95} + q^{96} + 5 q^{97} - 8 q^{98} + 45 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 - q^3 - 2 * q^4 + 5 * q^5 - 4 * q^6 - 2 * q^7 + 2 * q^8 - 7 * q^9 + 10 * q^10 - 5 * q^11 - 6 * q^12 + 3 * q^13 + 2 * q^14 + 30 * q^15 - 2 * q^16 - 7 * q^17 + 2 * q^18 - 14 * q^19 + 5 * q^20 - 6 * q^21 - 20 * q^23 - 4 * q^24 - 25 * q^25 + 17 * q^26 + 32 * q^27 - 2 * q^28 - 23 * q^29 - 30 * q^30 + 3 * q^31 - 8 * q^32 + 40 * q^33 + 2 * q^34 + 5 * q^35 - 2 * q^36 + 6 * q^37 - q^38 - 21 * q^39 - 2 * q^41 - 4 * q^42 - 16 * q^43 + 15 * q^44 - 40 * q^45 - 5 * q^46 + 34 * q^47 - q^48 - 2 * q^49 - 10 * q^50 + 4 * q^51 - 17 * q^52 + 13 * q^53 + 48 * q^54 - 25 * q^55 - 8 * q^56 - 12 * q^57 + 23 * q^58 - 3 * q^59 - 25 * q^60 - 16 * q^61 - 3 * q^62 - 2 * q^63 - 2 * q^64 + 10 * q^65 + 15 * q^66 + 18 * q^67 - 7 * q^68 - 15 * q^69 + 45 * q^71 + 7 * q^72 + q^73 - 6 * q^74 + 40 * q^75 + 26 * q^76 + 15 * q^77 - 4 * q^78 - 21 * q^79 + 57 * q^81 - 3 * q^82 + 12 * q^83 - q^84 + 10 * q^85 - 14 * q^86 - 4 * q^87 + 10 * q^88 + 12 * q^89 - 40 * q^90 - 17 * q^91 + 5 * q^92 - 31 * q^93 + 31 * q^94 - 30 * q^95 + q^96 + 5 * q^97 - 8 * q^98 + 45 * q^99

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