LMFDB - Embedded newform 930.2.y.b.29.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(29,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 3]))

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

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

chi := DirichletCharacter("930.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.y (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.15
Character	$\chi$	$=$	930.29
Dual form			930.2.y.b.449.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.116082 - 1.72816i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.22659 + 1.86962i) q^{5} +(0.921873 - 1.46634i) q^{6} +(-3.97153 + 1.29043i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.97305 + 0.401214i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.116082 - 1.72816i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.22659 + 1.86962i) q^{5} +(0.921873 - 1.46634i) q^{6} +(-3.97153 + 1.29043i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.97305 + 0.401214i) q^{9} +(-0.106606 + 2.23353i) q^{10} +(0.533628 + 1.64234i) q^{11} +(1.60770 - 0.644430i) q^{12} +(-1.61250 + 1.17155i) q^{13} +(-3.97153 - 1.29043i) q^{14} +(3.08861 - 2.33676i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-6.59273 - 2.14211i) q^{17} +(-2.64108 - 1.42293i) q^{18} +(2.54582 + 1.84965i) q^{19} +(-1.39908 + 1.74430i) q^{20} +(2.69108 + 6.71363i) q^{21} +(-0.533628 + 1.64234i) q^{22} +(-5.09370 - 1.65504i) q^{23} +(1.67945 + 0.423630i) q^{24} +(-1.99097 + 4.58651i) q^{25} -1.99315 q^{26} +(1.03848 + 5.09132i) q^{27} +(-2.45454 - 3.37839i) q^{28} +(-6.72629 - 4.88694i) q^{29} +(3.87226 - 0.0750387i) q^{30} +(5.29700 + 1.71517i) q^{31} -1.00000 q^{32} +(2.77627 - 1.11284i) q^{33} +(-4.07453 - 5.60811i) q^{34} +(-7.28404 - 5.84244i) q^{35} +(-1.30030 - 2.70356i) q^{36} +1.82468 q^{37} +(0.972416 + 2.99279i) q^{38} +(2.21180 + 2.65065i) q^{39} +(-2.15715 + 0.588809i) q^{40} +(-4.31621 + 5.94076i) q^{41} +(-1.76904 + 7.01322i) q^{42} +(2.23730 + 1.62549i) q^{43} +(-1.39706 + 1.01502i) q^{44} +(-4.39682 - 5.06635i) q^{45} +(-3.14808 - 4.33296i) q^{46} +(7.50569 - 5.45320i) q^{47} +(1.10970 + 1.32988i) q^{48} +(8.44474 - 6.13546i) q^{49} +(-4.30661 + 2.54030i) q^{50} +(-2.93660 + 11.6419i) q^{51} +(-1.61250 - 1.17155i) q^{52} +(7.31127 + 2.37558i) q^{53} +(-2.15246 + 4.72937i) q^{54} +(-2.41601 + 3.01215i) q^{55} -4.17592i q^{56} +(2.90095 - 4.61428i) q^{57} +(-2.56921 - 7.90723i) q^{58} +(6.67417 + 9.18620i) q^{59} +(3.17683 + 2.21535i) q^{60} +13.0269i q^{61} +(3.27721 + 4.50110i) q^{62} +(11.2898 - 5.42995i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.16821 - 1.57775i) q^{65} +(2.90016 + 0.731547i) q^{66} +7.86369i q^{67} -6.93201i q^{68} +(-2.26889 + 8.99483i) q^{69} +(-2.45881 - 9.00808i) q^{70} +(7.73546 + 2.51340i) q^{71} +(0.537145 - 2.95152i) q^{72} +(-1.99959 - 6.15410i) q^{73} +(1.47620 + 1.07252i) q^{74} +(8.15732 + 2.90830i) q^{75} +(-0.972416 + 2.99279i) q^{76} +(-4.23864 - 5.83399i) q^{77} +(0.231369 + 3.44448i) q^{78} +(-9.74641 - 3.16680i) q^{79} +(-2.09127 - 0.791586i) q^{80} +(8.67805 - 2.38566i) q^{81} +(-6.98378 + 2.26917i) q^{82} +(0.428315 - 0.589524i) q^{83} +(-5.55345 + 4.63400i) q^{84} +(-4.08162 - 14.9534i) q^{85} +(0.854571 + 2.63010i) q^{86} +(-7.66459 + 12.1914i) q^{87} -1.72686 q^{88} +(-4.02056 - 12.3740i) q^{89} +(-0.579177 - 6.68315i) q^{90} +(4.89228 - 6.73365i) q^{91} -5.35583i q^{92} +(2.34919 - 9.35314i) q^{93} +9.27755 q^{94} +(-0.335470 + 7.02847i) q^{95} +(0.116082 + 1.72816i) q^{96} +(-4.17102 + 1.35525i) q^{97} +10.4383 q^{98} +(-2.24543 - 4.66865i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 32 q^{2} - 32 q^{4} - 2 q^{5} + 32 q^{8} - 4 q^{9}+O(q^{10}) $ 128 * q + 32 * q^2 - 32 * q^4 - 2 * q^5 + 32 * q^8 - 4 * q^9	$ 128 q + 32 q^{2} - 32 q^{4} - 2 q^{5} + 32 q^{8} - 4 q^{9} + 2 q^{10} - 35 q^{15} - 32 q^{16} - 6 q^{18} - 8 q^{19} + 3 q^{20} + 20 q^{23} - 10 q^{25} - 48 q^{31} - 128 q^{32} + 8 q^{33} + 10 q^{34} - 16 q^{35} - 4 q^{36} - 12 q^{38} + 4 q^{39} - 3 q^{40} + 5 q^{45} + 10 q^{46} - 6 q^{47} + 46 q^{49} + 5 q^{50} + 34 q^{51} + 20 q^{53} + 35 q^{60} + 8 q^{62} - 36 q^{63} - 32 q^{64} - 8 q^{66} + 8 q^{69} + 16 q^{70} - 6 q^{72} + 5 q^{75} + 12 q^{76} - 50 q^{77} - 4 q^{78} - 10 q^{79} - 2 q^{80} - 24 q^{81} + 40 q^{83} - 30 q^{85} + 4 q^{87} - 5 q^{90} + 20 q^{91} + 26 q^{93} - 4 q^{94} + 26 q^{95} + 124 q^{98}+O(q^{100}) $ 128 * q + 32 * q^2 - 32 * q^4 - 2 * q^5 + 32 * q^8 - 4 * q^9 + 2 * q^10 - 35 * q^15 - 32 * q^16 - 6 * q^18 - 8 * q^19 + 3 * q^20 + 20 * q^23 - 10 * q^25 - 48 * q^31 - 128 * q^32 + 8 * q^33 + 10 * q^34 - 16 * q^35 - 4 * q^36 - 12 * q^38 + 4 * q^39 - 3 * q^40 + 5 * q^45 + 10 * q^46 - 6 * q^47 + 46 * q^49 + 5 * q^50 + 34 * q^51 + 20 * q^53 + 35 * q^60 + 8 * q^62 - 36 * q^63 - 32 * q^64 - 8 * q^66 + 8 * q^69 + 16 * q^70 - 6 * q^72 + 5 * q^75 + 12 * q^76 - 50 * q^77 - 4 * q^78 - 10 * q^79 - 2 * q^80 - 24 * q^81 + 40 * q^83 - 30 * q^85 + 4 * q^87 - 5 * q^90 + 20 * q^91 + 26 * q^93 - 4 * q^94 + 26 * q^95 + 124 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{10}\right)$

Coefficient data

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

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

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

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.116082	−	1.72816i	−0.0670198	−	0.997752i
$3$	−0.116082	−	1.72816i	−0.0670198	−	0.997752i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.22659	+	1.86962i	0.548546	+	0.836120i
$5$	1.22659	+	1.86962i	0.548546	+	0.836120i
$6$	0.921873	−	1.46634i	0.376353	−	0.598630i
$7$	−3.97153	+	1.29043i	−1.50110	+	0.487736i	−0.940338	−	0.340242i	$-0.889491\pi$
$7$	−3.97153	+	1.29043i	−1.50110	+	0.487736i	−0.560760	+	0.827978i	$0.689491\pi$
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−2.97305	+	0.401214i	−0.991017	+	0.133738i
$10$	−0.106606	+	2.23353i	−0.0337119	+	0.706303i
$11$	0.533628	+	1.64234i	0.160895	+	0.495183i	0.998710	−	0.0507700i	$-0.0161676\pi$
$11$	0.533628	+	1.64234i	0.160895	+	0.495183i	−0.837816	+	0.545953i	$0.816168\pi$
$12$	1.60770	−	0.644430i	0.464104	−	0.186031i
$13$	−1.61250	+	1.17155i	−0.447226	+	0.324929i	−0.788500	−	0.615035i	$-0.789142\pi$
$13$	−1.61250	+	1.17155i	−0.447226	+	0.324929i	0.341274	+	0.939964i	$0.389142\pi$
$14$	−3.97153	−	1.29043i	−1.06144	−	0.344882i
$15$	3.08861	−	2.33676i	0.797477	−	0.603350i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−6.59273	−	2.14211i	−1.59897	−	0.519537i	−0.632119	−	0.774871i	$-0.717815\pi$
$17$	−6.59273	−	2.14211i	−1.59897	−	0.519537i	−0.966853	+	0.255334i	$0.917815\pi$
$18$	−2.64108	−	1.42293i	−0.622508	−	0.335387i
$19$	2.54582	+	1.84965i	0.584051	+	0.424338i	0.840182	−	0.542304i	$-0.182448\pi$
$19$	2.54582	+	1.84965i	0.584051	+	0.424338i	−0.256131	+	0.966642i	$0.582448\pi$
$20$	−1.39908	+	1.74430i	−0.312844	+	0.390037i
$21$	2.69108	+	6.71363i	0.587243	+	1.46503i
$22$	−0.533628	+	1.64234i	−0.113770	+	0.350148i
$23$	−5.09370	−	1.65504i	−1.06211	−	0.345100i	−0.274700	−	0.961530i	$-0.588578\pi$
$23$	−5.09370	−	1.65504i	−1.06211	−	0.345100i	−0.787410	+	0.616430i	$0.788578\pi$
$24$	1.67945	+	0.423630i	0.342815	+	0.0864730i
$25$	−1.99097	+	4.58651i	−0.398194	+	0.917301i
$26$	−1.99315			−0.390890
$27$	1.03848	+	5.09132i	0.199855	+	0.979825i
$28$	−2.45454	−	3.37839i	−0.463865	−	0.638455i
$29$	−6.72629	−	4.88694i	−1.24904	−	0.907481i	−0.250875	−	0.968020i	$-0.580718\pi$
$29$	−6.72629	−	4.88694i	−1.24904	−	0.907481i	−0.998166	+	0.0605385i	$0.980718\pi$
$30$	3.87226	−	0.0750387i	0.706974	−	0.0137001i
$31$	5.29700	+	1.71517i	0.951369	+	0.308053i
$31$	5.29700	+	1.71517i	0.951369	+	0.308053i
$32$	−1.00000			−0.176777
$33$	2.77627	−	1.11284i	0.483287	−	0.193720i
$34$	−4.07453	−	5.60811i	−0.698776	−	0.961783i
$35$	−7.28404	−	5.84244i	−1.23123	−	0.987552i
$36$	−1.30030	−	2.70356i	−0.216717	−	0.450593i
$37$	1.82468			0.299976			0.149988	−	0.988688i	$-0.452077\pi$
$37$	1.82468			0.299976			0.149988	+	0.988688i	$0.452077\pi$
$38$	0.972416	+	2.99279i	0.157747	+	0.485495i
$39$	2.21180	+	2.65065i	0.354171	+	0.424444i
$40$	−2.15715	+	0.588809i	−0.341076	+	0.0930988i
$41$	−4.31621	+	5.94076i	−0.674079	+	0.927791i	−0.999844	−	0.0176603i	$-0.994378\pi$
$41$	−4.31621	+	5.94076i	−0.674079	+	0.927791i	0.325765	+	0.945451i	$0.394378\pi$
$42$	−1.76904	+	7.01322i	−0.272969	+	1.08216i
$43$	2.23730	+	1.62549i	0.341185	+	0.247885i	0.745161	−	0.666884i	$-0.232372\pi$
$43$	2.23730	+	1.62549i	0.341185	+	0.247885i	−0.403977	+	0.914769i	$0.632372\pi$
$44$	−1.39706	+	1.01502i	−0.210614	+	0.153020i
$45$	−4.39682	−	5.06635i	−0.655440	−	0.755247i
$46$	−3.14808	−	4.33296i	−0.464159	−	0.638860i
$47$	7.50569	−	5.45320i	1.09482	−	0.795432i	0.114611	−	0.993410i	$-0.463438\pi$
$47$	7.50569	−	5.45320i	1.09482	−	0.795432i	0.980206	+	0.197979i	$0.0634377\pi$
$48$	1.10970	+	1.32988i	0.160171	+	0.191951i
$49$	8.44474	−	6.13546i	1.20639	−	0.876494i
$50$	−4.30661	+	2.54030i	−0.609046	+	0.359253i
$51$	−2.93660	+	11.6419i	−0.411207	+	1.63020i
$52$	−1.61250	−	1.17155i	−0.223613	−	0.162464i
$53$	7.31127	+	2.37558i	1.00428	+	0.326311i	0.764575	−	0.644535i	$-0.222949\pi$
$53$	7.31127	+	2.37558i	1.00428	+	0.326311i	0.239706	+	0.970846i	$0.422949\pi$
$54$	−2.15246	+	4.72937i	−0.292912	+	0.643586i
$55$	−2.41601	+	3.01215i	−0.325775	+	0.406158i
$56$		−	4.17592i		−	0.558030i
$57$	2.90095	−	4.61428i	0.384241	−	0.611177i
$58$	−2.56921	−	7.90723i	−0.337354	−	1.03827i
$59$	6.67417	+	9.18620i	0.868902	+	1.19594i	0.979373	+	0.202062i	$0.0647643\pi$
$59$	6.67417	+	9.18620i	0.868902	+	1.19594i	−0.110470	+	0.993879i	$0.535236\pi$
$60$	3.17683	+	2.21535i	0.410127	+	0.286000i
$61$			13.0269i			1.66792i	0.551822	+	0.833962i	$0.313933\pi$
$61$			13.0269i			1.66792i	−0.551822	+	0.833962i	$0.686067\pi$
$62$	3.27721	+	4.50110i	0.416207	+	0.571640i
$63$	11.2898	−	5.42995i	1.42238	−	0.684109i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−4.16821	−	1.57775i	−0.517003	−	0.195696i
$66$	2.90016	+	0.731547i	0.356985	+	0.0900472i
$67$			7.86369i			0.960702i	0.877076	+	0.480351i	$0.159491\pi$
$67$			7.86369i			0.960702i	−0.877076	+	0.480351i	$0.840509\pi$
$68$		−	6.93201i		−	0.840629i
$69$	−2.26889	+	8.99483i	−0.273142	+	1.08285i
$70$	−2.45881	−	9.00808i	−0.293885	−	1.07667i
$71$	7.73546	+	2.51340i	0.918030	+	0.298286i	0.729658	−	0.683812i	$-0.239679\pi$
$71$	7.73546	+	2.51340i	0.918030	+	0.298286i	0.188372	+	0.982098i	$0.439679\pi$
$72$	0.537145	−	2.95152i	0.0633032	−	0.347840i
$73$	−1.99959	−	6.15410i	−0.234034	−	0.720283i	−0.997248	−	0.0741370i	$-0.976380\pi$
$73$	−1.99959	−	6.15410i	−0.234034	−	0.720283i	0.763214	−	0.646146i	$-0.223620\pi$
$74$	1.47620	+	1.07252i	0.171605	+	0.124678i
$75$	8.15732	+	2.90830i	0.941926	+	0.335821i
$76$	−0.972416	+	2.99279i	−0.111544	+	0.343297i
$77$	−4.23864	−	5.83399i	−0.483038	−	0.664844i
$78$	0.231369	+	3.44448i	0.0261973	+	0.390011i
$79$	−9.74641	−	3.16680i	−1.09656	−	0.356293i	−0.295780	−	0.955256i	$-0.595580\pi$
$79$	−9.74641	−	3.16680i	−1.09656	−	0.356293i	−0.800777	+	0.598963i	$0.795580\pi$
$80$	−2.09127	−	0.791586i	−0.233811	−	0.0885020i
$81$	8.67805	−	2.38566i	0.964228	−	0.265073i
$82$	−6.98378	+	2.26917i	−0.771229	+	0.250588i
$83$	0.428315	−	0.589524i	0.0470136	−	0.0647087i	−0.784863	−	0.619669i	$-0.787267\pi$
$83$	0.428315	−	0.589524i	0.0470136	−	0.0647087i	0.831877	+	0.554961i	$0.187267\pi$
$84$	−5.55345	+	4.63400i	−0.605931	+	0.505611i
$85$	−4.08162	−	14.9534i	−0.442714	−	1.62192i
$86$	0.854571	+	2.63010i	0.0921508	+	0.283611i
$87$	−7.66459	+	12.1914i	−0.821730	+	1.30705i
$88$	−1.72686			−0.184083
$89$	−4.02056	−	12.3740i	−0.426178	−	1.31164i	−0.901861	−	0.432025i	$-0.857799\pi$
$89$	−4.02056	−	12.3740i	−0.426178	−	1.31164i	0.475683	−	0.879617i	$-0.342201\pi$
$90$	−0.579177	−	6.68315i	−0.0610506	−	0.704466i
$91$	4.89228	−	6.73365i	0.512850	−	0.705878i
$92$		−	5.35583i		−	0.558384i
$93$	2.34919	−	9.35314i	0.243600	−	0.969876i
$94$	9.27755			0.956906
$95$	−0.335470	+	7.02847i	−0.0344185	+	0.721106i
$96$	0.116082	+	1.72816i	0.0118475	+	0.176379i
$97$	−4.17102	+	1.35525i	−0.423503	+	0.137604i	−0.513012	−	0.858382i	$-0.671470\pi$
$97$	−4.17102	+	1.35525i	−0.423503	+	0.137604i	0.0895088	+	0.995986i	$0.471470\pi$
$98$	10.4383			1.05442
$99$	−2.24543	−	4.66865i	−0.225674	−	0.469217i
$100$	−4.97727	−	0.476216i	−0.497727	−	0.0476216i
$101$	−5.58138	−	1.81350i	−0.555368	−	0.180450i	0.0178678	−	0.999840i	$-0.494312\pi$
$101$	−5.58138	−	1.81350i	−0.555368	−	0.180450i	−0.573236	+	0.819390i	$0.694312\pi$
$102$	−9.21871	+	7.69243i	−0.912789	+	0.761664i
$103$	3.19353	−	4.39552i	0.314668	−	0.433103i	−0.622162	−	0.782889i	$-0.713745\pi$
$103$	3.19353	−	4.39552i	0.314668	−	0.433103i	0.936830	+	0.349785i	$0.113745\pi$
$104$	−0.615919	−	1.89560i	−0.0603958	−	0.185879i
$105$	−9.25110	+	13.2662i	−0.902815	+	1.29465i
$106$	4.51862	+	6.21934i	0.438887	+	0.604076i
$107$	−4.36642	+	13.4385i	−0.422118	+	1.29914i	0.483610	+	0.875284i	$0.339325\pi$
$107$	−4.36642	+	13.4385i	−0.422118	+	1.29914i	−0.905727	+	0.423861i	$0.860675\pi$
$108$	−4.52123	+	2.56096i	−0.435055	+	0.246428i
$109$	−2.61334	+	1.89870i	−0.250313	+	0.181863i	−0.705865	−	0.708346i	$-0.749442\pi$
$109$	−2.61334	+	1.89870i	−0.250313	+	0.181863i	0.455553	+	0.890209i	$0.349442\pi$
$110$	−3.72509	+	1.01679i	−0.355173	+	0.0969469i
$111$	−0.211812	−	3.15334i	−0.0201043	−	0.299302i
$112$	2.45454	−	3.37839i	0.231932	−	0.319228i
$113$	2.54158	+	7.82218i	0.239092	+	0.735849i	0.996552	+	0.0829676i	$0.0264398\pi$
$113$	2.54158	+	7.82218i	0.239092	+	0.735849i	−0.757461	+	0.652881i	$0.773560\pi$
$114$	5.05913	−	2.02790i	0.473831	−	0.189930i
$115$	−3.15356	−	11.5533i	−0.294071	−	1.07736i
$116$	2.56921	−	7.90723i	0.238546	−	0.734168i
$117$	4.32399	−	4.13002i	0.399753	−	0.381821i
$118$			11.3548i			1.04529i
$119$	28.9475			2.65361
$120$	1.26796	+	3.65955i	0.115748	+	0.334069i
$121$	6.48667	−	4.71284i	0.589698	−	0.428440i
$122$	−7.65702	+	10.5390i	−0.693234	+	0.954155i
$123$	10.7676	+	6.76948i	0.970881	+	0.610383i
$124$	0.00564386	+	5.56776i	0.000506833	+	0.500000i
$125$	−11.0171	+	1.90339i	−0.985402	+	0.170244i
$126$	12.3253	+	2.24307i	1.09803	+	0.199829i
$127$	−1.60163	+	1.16365i	−0.142122	+	0.103257i	−0.656574	−	0.754261i	$-0.727995\pi$
$127$	−1.60163	+	1.16365i	−0.142122	+	0.103257i	0.514453	+	0.857519i	$0.327995\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	2.54939	−	4.05509i	0.224462	−	0.357031i
$130$	−2.44478	−	3.72644i	−0.214421	−	0.326831i
$131$	−5.95623	+	1.93530i	−0.520398	+	0.169088i	−0.557426	−	0.830227i	$-0.688211\pi$
$131$	−5.95623	+	1.93530i	−0.520398	+	0.169088i	0.0370280	+	0.999314i	$0.488211\pi$
$132$	1.91629	+	2.29651i	0.166791	+	0.199885i
$133$	−12.4976	−	4.06073i	−1.08368	−	0.352110i
$134$	−4.62216	+	6.36186i	−0.399294	+	0.549581i
$135$	−8.24506	+	8.18651i	−0.709622	+	0.704583i
$136$	4.07453	−	5.60811i	0.349388	−	0.480892i
$137$	−8.08945	−	11.1342i	−0.691128	−	0.951256i	−1.00000		0.000152541i	$-0.999951\pi$
$137$	−8.08945	−	11.1342i	−0.691128	−	0.951256i	0.308872	−	0.951104i	$-0.400049\pi$
$138$	−7.12260	+	5.94335i	−0.606316	+	0.505932i
$139$	6.45504	+	8.88459i	0.547509	+	0.753581i	0.989672	−	0.143353i	$-0.0457886\pi$
$139$	6.45504	+	8.88459i	0.547509	+	0.753581i	−0.442163	+	0.896935i	$0.645789\pi$
$140$	3.30560	−	8.73295i	0.279374	−	0.738069i
$141$	−10.2953	−	12.3380i	−0.867018	−	1.03905i
$142$	4.78078	+	6.58017i	0.401194	+	0.552196i
$143$	−2.78455	−	2.02309i	−0.232856	−	0.169179i
$144$	2.16942	−	2.07210i	0.180785	−	0.172675i
$145$	0.886342	−	18.5699i	0.0736067	−	1.54214i
$146$	1.99959	−	6.15410i	0.165487	−	0.509317i
$147$	−11.5833	−	13.8816i	−0.955376	−	1.14494i
$148$	0.563858	+	1.73538i	0.0463488	+	0.142647i
$149$		−	3.01684i		−	0.247149i	−0.992335	−	0.123575i	$-0.960564\pi$
$149$		−	3.01684i		−	0.247149i	0.992335	−	0.123575i	$-0.0394358\pi$
$150$	4.88995	+	7.14761i	0.399263	+	0.583600i
$151$	6.36361	−	2.06766i	0.517863	−	0.168264i	−0.0384123	−	0.999262i	$-0.512230\pi$
$151$	6.36361	−	2.06766i	0.517863	−	0.168264i	0.556275	+	0.830998i	$0.312230\pi$
$152$	−2.54582	+	1.84965i	−0.206493	+	0.150026i
$153$	20.4600	+	3.72349i	1.65409	+	0.301027i
$154$		−	7.21120i		−	0.581095i
$155$	3.29052	+	12.0072i	0.264301	+	0.964440i
$156$	−1.83743	+	2.92264i	−0.147113	+	0.233998i
$157$	6.78647	−	9.34078i	0.541619	−	0.745475i	−0.447226	−	0.894421i	$-0.647588\pi$
$157$	6.78647	−	9.34078i	0.541619	−	0.745475i	0.988845	+	0.148946i	$0.0475880\pi$
$158$	−6.02361	−	8.29079i	−0.479213	−	0.659580i
$159$	3.25666	−	12.9108i	0.258270	−	1.02389i
$160$	−1.22659	−	1.86962i	−0.0969702	−	0.147807i
$161$	22.3655			1.76265
$162$	8.42295	+	3.17079i	0.661769	+	0.249121i
$163$	14.9280	+	4.85040i	1.16925	+	0.379913i	0.828364	−	0.560191i	$-0.189272\pi$
$163$	14.9280	+	4.85040i	1.16925	+	0.379913i	0.340888	+	0.940104i	$0.389272\pi$
$164$	−6.98378	−	2.26917i	−0.545342	−	0.177192i
$165$	5.48592	+	3.82559i	0.427079	+	0.297821i
$166$	0.693027	−	0.225178i	0.0537894	−	0.0174772i
$167$	7.28550	−	10.0276i	0.563769	−	0.775961i	−0.428031	−	0.903764i	$-0.640792\pi$
$167$	7.28550	−	10.0276i	0.563769	−	0.775961i	0.991800	+	0.127803i	$0.0407925\pi$
$168$	−7.21664	+	0.484747i	−0.556776	+	0.0373991i
$169$	−2.78960	+	8.58551i	−0.214585	+	0.660424i
$170$	5.48728	−	14.4967i	0.420855	−	1.11184i
$171$	−8.31095	−	4.47767i	−0.635554	−	0.342416i
$172$	−0.854571	+	2.63010i	−0.0651605	+	0.200543i
$173$	−19.3499	+	14.0585i	−1.47114	+	1.06885i	−0.490863	+	0.871237i	$0.663318\pi$
$173$	−19.3499	+	14.0585i	−1.47114	+	1.06885i	−0.980281	+	0.197611i	$0.936682\pi$
$174$	−13.3667	+	5.35789i	−1.01333	+	0.406180i
$175$	1.98864	−	20.7847i	0.150327	−	1.57117i
$176$	−1.39706	−	1.01502i	−0.105307	−	0.0765100i
$177$	15.1004	−	12.6004i	1.13502	−	0.947100i
$178$	4.02056	−	12.3740i	0.301354	−	0.927471i
$179$	−2.17167	−	6.68372i	−0.162318	−	0.499565i	0.836510	−	0.547951i	$-0.184592\pi$
$179$	−2.17167	−	6.68372i	−0.162318	−	0.499565i	−0.998829	+	0.0483866i	$0.984592\pi$
$180$	3.45970	−	5.74722i	0.257871	−	0.428372i
$181$			9.64775i			0.717111i	0.933508	+	0.358556i	$0.116731\pi$
$181$			9.64775i			0.717111i	−0.933508	+	0.358556i	$0.883269\pi$
$182$	7.91588	−	2.57202i	0.586764	−	0.190651i
$183$	22.5125	−	1.51218i	1.66417	−	0.111784i
$184$	3.14808	−	4.33296i	0.232080	−	0.319430i
$185$	2.23813	+	3.41147i	0.164551	+	0.250816i
$186$	7.39817	−	6.18603i	0.542460	−	0.453582i
$187$		−	11.9706i		−	0.875375i
$188$	7.50569	+	5.45320i	0.547409	+	0.397716i
$189$	−10.6943	−	18.8803i	−0.777899	−	1.37334i
$190$	−4.40263	+	5.48897i	−0.319400	+	0.398212i
$191$		−	15.5272i		−	1.12351i	−0.827303	−	0.561756i	$-0.810126\pi$
$191$		−	15.5272i		−	1.12351i	0.827303	−	0.561756i	$-0.189874\pi$
$192$	−0.921873	+	1.46634i	−0.0665304	+	0.105824i
$193$	−3.88837	+	1.26341i	−0.279891	+	0.0909421i	−0.445599	−	0.895233i	$-0.647009\pi$
$193$	−3.88837	+	1.26341i	−0.279891	+	0.0909421i	0.165708	+	0.986175i	$0.447009\pi$
$194$	−4.17102	−	1.35525i	−0.299462	−	0.0973011i
$195$	−2.24275	+	7.38648i	−0.160607	+	0.528957i
$196$	8.44474	+	6.13546i	0.603196	+	0.438247i
$197$	−4.98867	+	1.62092i	−0.355428	+	0.115486i	−0.481288	−	0.876562i	$-0.659831\pi$
$197$	−4.98867	+	1.62092i	−0.355428	+	0.115486i	0.125860	+	0.992048i	$0.459831\pi$
$198$	0.927573	−	5.09685i	0.0659197	−	0.362217i
$199$	−9.62744	−	13.2510i	−0.682471	−	0.939341i	0.317489	−	0.948262i	$-0.397160\pi$
$199$	−9.62744	−	13.2510i	−0.682471	−	0.939341i	−0.999960	+	0.00892064i	$0.997160\pi$
$200$	−3.74678	−	3.31083i	−0.264938	−	0.234111i
$201$	13.5897	−	0.912829i	0.958542	−	0.0643860i
$202$	−3.44948	−	4.74781i	−0.242705	−	0.334055i
$203$	33.0199	+	10.7288i	2.31754	+	0.753016i
$204$	−11.9796	+	0.804679i	−0.838739	+	0.0563388i
$205$	−16.4012	−	0.782830i	−1.14551	−	0.0546752i
$206$	5.16724	−	1.67894i	0.360019	−	0.116977i
$207$	15.8079	+	2.87686i	1.09872	+	0.199956i
$208$	0.615919	−	1.89560i	0.0427063	−	0.131436i
$209$	−1.67922	+	5.16812i	−0.116154	+	0.357486i
$210$	−15.2820	+	5.29489i	−1.05456	+	0.365382i
$211$	−5.36344			−0.369234			−0.184617	−	0.982811i	$-0.559105\pi$
$211$	−5.36344			−0.369234			−0.184617	+	0.982811i	$0.559105\pi$
$212$			7.68753i			0.527982i
$213$	3.44561	−	13.6598i	0.236089	−	0.935957i
$214$	−11.4314	+	8.30542i	−0.781437	+	0.567747i
$215$	−0.294815	+	6.17670i	−0.0201062	+	0.421248i
$216$	−5.16304	−	0.585654i	−0.351301	−	0.0398487i
$217$	−23.2505	+	0.0235683i	−1.57835	+	0.00159992i
$218$	−3.23027			−0.218781
$219$	−10.4031	+	4.16998i	−0.702978	+	0.281781i
$220$	−3.61131	−	1.36695i	−0.243475	−	0.0921601i
$221$	13.1403	−	4.26955i	0.883914	−	0.287201i
$222$	1.68213	−	2.67560i	0.112897	−	0.179575i
$223$	−23.4310			−1.56906			−0.784528	−	0.620093i	$-0.787095\pi$
$223$	−23.4310			−1.56906			−0.784528	+	0.620093i	$0.787095\pi$
$224$	3.97153	−	1.29043i	0.265359	−	0.0862204i
$225$	4.07908	−	14.4347i	0.271939	−	0.962315i
$226$	−2.54158	+	7.82218i	−0.169063	+	0.520323i
$227$	17.4816	+	12.7011i	1.16029	+	0.843002i	0.989815	−	0.142360i	$-0.0454690\pi$
$227$	17.4816	+	12.7011i	1.16029	+	0.843002i	0.170477	+	0.985362i	$0.445469\pi$
$228$	5.28489	+	1.33308i	0.350000	+	0.0882854i
$229$	−6.40738	+	8.81900i	−0.423412	+	0.582776i	−0.966425	−	0.256948i	$-0.917283\pi$
$229$	−6.40738	+	8.81900i	−0.423412	+	0.582776i	0.543014	+	0.839724i	$0.317283\pi$
$230$	4.23960	−	11.2005i	0.279551	−	0.738537i
$231$	−9.59001	+	8.00225i	−0.630977	+	0.526509i
$232$	6.72629	−	4.88694i	0.441603	−	0.320843i
$233$	−13.9107	+	10.1067i	−0.911318	+	0.662111i	−0.941348	−	0.337438i	$-0.890440\pi$
$233$	−13.9107	+	10.1067i	−0.911318	+	0.662111i	0.0300301	+	0.999549i	$0.490440\pi$
$234$	5.92575	−	0.799682i	0.387378	−	0.0522769i
$235$	19.4018	+	7.34397i	1.26563	+	0.479068i
$236$	−6.67417	+	9.18620i	−0.434451	+	0.597971i
$237$	−4.34135	+	17.2109i	−0.282001	+	1.11797i
$238$	23.4190	+	17.0149i	1.51803	+	1.10291i
$239$	−0.568428	+	1.74944i	−0.0367685	+	0.113162i	−0.967756	−	0.251889i	$-0.918948\pi$
$239$	−0.568428	+	1.74944i	−0.0367685	+	0.113162i	0.930988	+	0.365051i	$0.118948\pi$
$240$	−1.12523	+	3.70592i	−0.0726331	+	0.239216i
$241$	23.8006	−	7.73328i	1.53313	−	0.498144i	0.583660	−	0.811998i	$-0.301620\pi$
$241$	23.8006	−	7.73328i	1.53313	−	0.498144i	0.949471	+	0.313854i	$0.101620\pi$
$242$	8.01797			0.515415
$243$	−5.13016	−	14.7201i	−0.329100	−	0.944295i
$244$	−12.3893	+	4.02553i	−0.793145	+	0.257708i
$245$	21.8292	+	8.26279i	1.39462	+	0.527890i
$246$	4.73217	+	11.8057i	0.301712	+	0.752701i
$247$	−6.27207			−0.399082
$248$	−3.26808	+	4.50773i	−0.207523	+	0.286241i
$249$	−1.06851	−	0.671762i	−0.0677141	−	0.0425712i
$250$	−10.0318	−	4.93583i	−0.634468	−	0.312169i
$251$	7.75501	−	5.63434i	0.489492	−	0.355636i	−0.315497	−	0.948927i	$-0.602171\pi$
$251$	7.75501	−	5.63434i	0.489492	−	0.355636i	0.804989	+	0.593290i	$0.202171\pi$
$252$	8.65293	+	9.05932i	0.545084	+	0.570683i
$253$		−	9.24875i		−	0.581464i
$254$	−1.97972			−0.124219
$255$	−25.3680	+	8.78950i	−1.58861	+	0.550420i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	2.39028	−	7.35652i	0.149102	−	0.458887i	−0.848414	−	0.529333i	$-0.822442\pi$
$257$	2.39028	−	7.35652i	0.149102	−	0.458887i	0.997516	+	0.0704458i	$0.0224422\pi$
$258$	4.44602	−	1.78214i	0.276797	−	0.110951i
$259$	−7.24678	+	2.35462i	−0.450293	+	0.146309i
$260$	0.212483	−	4.45176i	0.0131776	−	0.276086i
$261$	21.9583	+	11.8304i	1.35918	+	0.732285i
$262$	−5.95623	−	1.93530i	−0.367977	−	0.119563i
$263$	15.2910	+	21.0463i	0.942886	+	1.29777i	0.954616	+	0.297840i	$0.0962661\pi$
$263$	15.2910	+	21.0463i	0.942886	+	1.29777i	−0.0117301	+	0.999931i	$0.503734\pi$
$264$	0.200456	+	2.98428i	0.0123372	+	0.183670i
$265$	4.52648	+	16.5832i	0.278060	+	1.01870i
$266$	−7.72397	−	10.6311i	−0.473587	−	0.651836i
$267$	−20.9175	+	8.38455i	−1.28013	+	0.513126i
$268$	−7.47881	+	2.43001i	−0.456841	+	0.148437i
$269$	0.0647591	+	0.0470503i	0.00394843	+	0.00286870i	0.589758	−	0.807580i	$-0.299223\pi$
$269$	0.0647591	+	0.0470503i	0.00394843	+	0.00286870i	−0.585809	+	0.810449i	$0.699223\pi$
$270$	−11.4823	+	1.77670i	−0.698791	+	0.108126i
$271$	−14.2057	−	4.61572i	−0.862937	−	0.280385i	−0.156082	−	0.987744i	$-0.549886\pi$
$271$	−14.2057	−	4.61572i	−0.862937	−	0.280385i	−0.706855	+	0.707359i	$0.749886\pi$
$272$	6.59273	−	2.14211i	0.399743	−	0.129884i
$273$	−12.2047	−	7.67297i	−0.738662	−	0.464389i
$274$		−	13.7626i		−	0.831428i
$275$	−8.59503	−	0.822357i	−0.518300	−	0.0495900i
$276$	−9.25572	+	0.621714i	−0.557129	+	0.0374228i
$277$	2.48688	+	1.80682i	0.149422	+	0.108561i	0.659985	−	0.751279i	$-0.270563\pi$
$277$	2.48688	+	1.80682i	0.149422	+	0.108561i	−0.510563	+	0.859841i	$0.670563\pi$
$278$			10.9820i			0.658654i
$279$	−16.4364	−	2.97404i	−0.984021	−	0.178051i
$280$	7.80738	−	5.12212i	0.466580	−	0.306105i
$281$	7.58772	−	10.4436i	0.452646	−	0.623013i	−0.520318	−	0.853973i	$-0.674186\pi$
$281$	7.58772	−	10.4436i	0.452646	−	0.623013i	0.972963	+	0.230960i	$0.0741865\pi$
$282$	−1.07695	−	16.0331i	−0.0641316	−	0.954754i
$283$	9.71441	−	3.15640i	0.577462	−	0.187629i	−0.00570153	−	0.999984i	$-0.501815\pi$
$283$	9.71441	−	3.15640i	0.577462	−	0.187629i	0.583163	+	0.812355i	$0.301815\pi$
$284$			8.13354i			0.482637i
$285$	12.1852	−	0.236132i	0.721791	−	0.0139873i
$286$	−1.06360	−	3.27343i	−0.0628921	−	0.193562i
$287$	9.47585	−	29.1637i	0.559342	−	1.72148i
$288$	2.97305	−	0.401214i	0.175189	−	0.0236418i
$289$	25.1222	+	18.2523i	1.47777	+	1.07367i
$290$	11.6322	−	14.5024i	0.683064	−	0.851608i
$291$	2.82626	+	7.05086i	0.165678	+	0.413329i
$292$	5.23499	−	3.80344i	0.306355	−	0.222580i
$293$	−8.27855	+	25.4788i	−0.483638	+	1.48849i	0.350306	+	0.936635i	$0.386078\pi$
$293$	−8.27855	+	25.4788i	−0.483638	+	1.48849i	−0.833944	+	0.551850i	$0.813922\pi$
$294$	−1.21169	−	18.0390i	−0.0706673	−	1.05205i
$295$	−8.98828	+	23.7458i	−0.523318	+	1.38254i
$296$	−0.563858	+	1.73538i	−0.0327736	+	0.100867i
$297$	−7.80751	+	4.42240i	−0.453038	+	0.256614i
$298$	1.77325	−	2.44068i	0.102722	−	0.141385i
$299$	10.1525	−	3.29876i	0.587136	−	0.190772i
$300$	−0.245206	+	8.65678i	−0.0141570	+	0.499800i
$301$	−10.9831	−	3.56862i	−0.633054	−	0.205692i
$302$	6.36361	+	2.06766i	0.366184	+	0.118981i
$303$	−2.48612	+	9.85602i	−0.142824	+	0.566213i
$304$	−3.14681			−0.180482
$305$	−24.3554	+	15.9786i	−1.39459	+	0.914934i
$306$	14.3638	+	15.0384i	0.821126	+	0.859690i
$307$	4.32366	+	5.95101i	0.246764	+	0.339642i	0.914375	−	0.404869i	$-0.132683\pi$
$307$	4.32366	+	5.95101i	0.246764	+	0.339642i	−0.667610	+	0.744511i	$0.732683\pi$
$308$	4.23864	−	5.83399i	0.241519	−	0.332422i
$309$	−7.96686	−	5.00868i	−0.453219	−	0.284934i
$310$	−4.39556	+	11.6481i	−0.249651	+	0.661570i
$311$		−	4.82262i		−	0.273466i	−0.990608	−	0.136733i	$-0.956340\pi$
$311$		−	4.82262i		−	0.273466i	0.990608	−	0.136733i	$-0.0436602\pi$
$312$	−3.20440	+	1.28445i	−0.181413	+	0.0727176i
$313$	−15.5678	+	11.3107i	−0.879946	+	0.639318i	−0.933237	−	0.359261i	$-0.883029\pi$
$313$	−15.5678	+	11.3107i	−0.879946	+	0.639318i	0.0532910	+	0.998579i	$0.483029\pi$
$314$	10.9807	−	3.56786i	0.619679	−	0.201346i
$315$	23.9999	+	14.4474i	1.35224	+	0.814019i
$316$		−	10.2480i		−	0.576494i
$317$	4.85578	+	14.9446i	0.272728	+	0.839370i	0.989812	+	0.142383i	$0.0454765\pi$
$317$	4.85578	+	14.9446i	0.272728	+	0.839370i	−0.717084	+	0.696987i	$0.754523\pi$
$318$	10.2235	−	8.53083i	0.573304	−	0.478385i
$319$	4.43666	−	13.6546i	0.248405	−	0.764513i
$320$	0.106606	−	2.23353i	0.00595948	−	0.124858i
$321$	23.7306	+	5.98590i	1.32451	+	0.334100i
$322$	18.0941	+	13.1461i	1.00834	+	0.732604i
$323$	−12.8218	−	17.6476i	−0.713422	−	0.981941i
$324$	4.95057	+	7.51611i	0.275031	+	0.417562i
$325$	−2.16288	−	9.72824i	−0.119975	−	0.539625i
$326$	9.22602	+	12.6985i	0.510982	+	0.703306i
$327$	3.58462	+	4.29586i	0.198230	+	0.237561i
$328$	−4.31621	−	5.94076i	−0.238323	−	0.328023i
$329$	−22.7721	+	31.3431i	−1.25547	+	1.72800i
$330$	2.18958	+	6.31951i	0.120533	+	0.347878i
$331$	−4.43863	+	6.10925i	−0.243969	+	0.335795i	−0.913388	−	0.407091i	$-0.866543\pi$
$331$	−4.43863	+	6.10925i	−0.243969	+	0.335795i	0.669419	+	0.742885i	$0.266543\pi$
$332$	0.693027	+	0.225178i	0.0380348	+	0.0123583i
$333$	−5.42487	+	0.732089i	−0.297281	+	0.0401182i
$334$	11.7882	−	3.83021i	0.645021	−	0.209580i
$335$	−14.7021	+	9.64549i	−0.803262	+	0.526990i
$336$	−6.12331	−	3.84966i	−0.334054	−	0.210016i
$337$	9.02482	+	27.7755i	0.491613	+	1.51303i	0.822169	+	0.569243i	$0.192764\pi$
$337$	9.02482	+	27.7755i	0.491613	+	1.51303i	−0.330556	+	0.943786i	$0.607236\pi$
$338$	−7.30327	+	5.30613i	−0.397245	+	0.288616i
$339$	13.2229	−	5.30026i	0.718170	−	0.287871i
$340$	12.9602	−	8.50271i	0.702867	−	0.461124i
$341$	0.00974613	+	9.61472i	0.000527783	+	0.520666i
$342$	−4.09179	−	8.50757i	−0.221259	−	0.460037i
$343$	−8.43938	+	11.6158i	−0.455684	+	0.627195i
$344$	−2.23730	+	1.62549i	−0.120627	+	0.0876406i
$345$	−19.5999	+	6.79098i	−1.05522	+	0.365614i
$346$	−23.9178			−1.28583
$347$		−	0.277740i		−	0.0149099i	−0.999972	−	0.00745494i	$-0.997627\pi$
$347$		−	0.277740i		−	0.0149099i	0.999972	−	0.00745494i	$-0.00237300\pi$
$348$	−13.9632	−	3.52212i	−0.748504	−	0.188805i
$349$	0.265812	−	0.818085i	0.0142286	−	0.0437911i	−0.943690	−	0.330831i	$-0.892671\pi$
$349$	0.265812	−	0.818085i	0.0142286	−	0.0437911i	0.957919	+	0.287040i	$0.0926711\pi$
$350$	13.8258	−	15.6463i	0.739018	−	0.836327i
$351$	−7.63926	−	6.99311i	−0.407754	−	0.373265i
$352$	−0.533628	−	1.64234i	−0.0284425	−	0.0875369i
$353$	0.513796	−	0.707179i	0.0273466	−	0.0376393i	−0.795125	−	0.606446i	$-0.792595\pi$
$353$	0.513796	−	0.707179i	0.0273466	−	0.0376393i	0.822471	+	0.568807i	$0.192595\pi$
$354$	19.6228	−	1.31808i	1.04294	−	0.0700552i
$355$	4.78910	+	17.5453i	0.254179	+	0.931207i
$356$	10.5260	−	7.64756i	0.557875	−	0.405320i
$357$	−3.36027	−	50.0258i	−0.177844	−	2.64764i
$358$	2.17167	−	6.68372i	0.114776	−	0.353246i
$359$	−6.25725	−	8.61236i	−0.330245	−	0.454543i	0.611316	−	0.791387i	$-0.290641\pi$
$359$	−6.25725	−	8.61236i	−0.330245	−	0.454543i	−0.941561	+	0.336844i	$0.890641\pi$
$360$	6.17708	−	2.61604i	0.325561	−	0.137877i
$361$	−2.81132	−	8.65235i	−0.147964	−	0.455387i
$362$	−5.67080	+	7.80519i	−0.298051	+	0.410232i
$363$	−8.89752	−	10.6629i	−0.466998	−	0.559658i
$364$	7.91588	+	2.57202i	0.414905	+	0.134811i
$365$	9.05317	−	11.2870i	0.473864	−	0.590789i
$366$	19.1019	+	12.0092i	0.998470	+	0.627728i
$367$	−7.84083			−0.409288			−0.204644	−	0.978836i	$-0.565604\pi$
$367$	−7.84083			−0.409288			−0.204644	+	0.978836i	$0.565604\pi$
$368$	5.09370	−	1.65504i	0.265527	−	0.0862751i
$369$	10.4488	−	19.3939i	0.543943	−	1.00961i
$370$	−0.194523	+	4.07547i	−0.0101128	+	0.211874i
$371$	−32.1025			−1.66668
$372$	9.62131	−	0.656068i	0.498842	−	0.0340156i
$373$		−	32.3821i		−	1.67668i	−0.545146	−	0.838341i	$-0.683526\pi$
$373$		−	32.3821i		−	1.67668i	0.545146	−	0.838341i	$-0.316474\pi$
$374$	7.03613	−	9.68440i	0.363829	−	0.500768i
$375$	4.56824	+	18.8184i	0.235903	+	0.971777i
$376$	2.86692	+	8.82347i	0.147850	+	0.455036i
$377$	16.5714			0.853470
$378$	2.44564	−	21.5604i	0.125790	−	1.10895i
$379$	−2.23614	−	6.88212i	−0.114863	−	0.353511i	0.877056	−	0.480389i	$-0.159504\pi$
$379$	−2.23614	−	6.88212i	−0.114863	−	0.353511i	−0.991918	+	0.126878i	$0.959504\pi$
$380$	−6.78814	+	1.85287i	−0.348224	+	0.0950500i
$381$	2.19689	+	2.63279i	0.112550	+	0.134882i
$382$	9.12668	−	12.5618i	0.466962	−	0.642718i
$383$	−32.6623	+	10.6126i	−1.66897	+	0.542280i	−0.982722	−	0.185090i	$-0.940742\pi$
$383$	−32.6623	+	10.6126i	−1.66897	+	0.542280i	−0.686246	+	0.727370i	$0.740742\pi$
$384$	−1.60770	+	0.644430i	−0.0820428	+	0.0328859i
$385$	5.70829	−	15.0805i	0.290921	−	0.768576i
$386$	−3.88837	−	1.26341i	−0.197913	−	0.0643058i
$387$	−7.30377	−	3.93503i	−0.371271	−	0.200029i
$388$	−2.57783	−	3.54808i	−0.130870	−	0.180127i
$389$	−6.74164	+	20.7486i	−0.341815	+	1.05200i	0.621452	+	0.783452i	$0.286543\pi$
$389$	−6.74164	+	20.7486i	−0.341815	+	1.05200i	−0.963267	+	0.268546i	$0.913457\pi$
$390$	−6.15609	+	4.65753i	−0.311726	+	0.235843i
$391$	30.0361	+	21.8225i	1.51899	+	1.10361i
$392$	3.22560	+	9.92738i	0.162918	+	0.501409i
$393$	4.03590	+	10.0686i	0.203584	+	0.507896i
$394$	−4.98867	−	1.62092i	−0.251326	−	0.0816607i
$395$	−6.03410	−	22.1065i	−0.303609	−	1.11230i
$396$	3.74628	−	3.57823i	0.188257	−	0.179813i
$397$		−	30.7452i		−	1.54306i	−0.636193	−	0.771530i	$-0.719492\pi$
$397$		−	30.7452i		−	1.54306i	0.636193	−	0.771530i	$-0.280508\pi$
$398$		−	16.3792i		−	0.821014i
$399$	−5.56683	+	22.0693i	−0.278690	+	1.10484i
$400$	−1.08515	−	4.88082i	−0.0542576	−	0.244041i
$401$	16.4986	+	11.9870i	0.823903	+	0.598601i	0.917828	−	0.396979i	$-0.129941\pi$
$401$	16.4986	+	11.9870i	0.823903	+	0.598601i	−0.0939248	+	0.995579i	$0.529941\pi$
$402$	11.5308	+	7.24932i	0.575105	+	0.361563i
$403$	−10.5508	+	3.43999i	−0.525572	+	0.171358i
$404$		−	5.86861i		−	0.291974i
$405$	15.1047	+	13.2985i	0.750557	+	0.660806i
$406$	20.4074	+	28.0884i	1.01280	+	1.39400i
$407$	0.973701	+	2.99674i	0.0482646	+	0.148543i
$408$	−10.1647	−	6.39043i	−0.503226	−	0.316373i
$409$			11.3458i			0.561016i	0.959852	+	0.280508i	$0.0905029\pi$
$409$			11.3458i			0.561016i	−0.959852	+	0.280508i	$0.909497\pi$
$410$	−12.8087	−	10.2737i	−0.632576	−	0.507382i
$411$	−18.3025	+	15.2723i	−0.902798	+	0.753327i
$412$	5.16724	+	1.67894i	0.254572	+	0.0827154i
$413$	−38.3608	−	27.8708i	−1.88761	−	1.37143i
$414$	11.0978	+	11.6191i	0.545429	+	0.571045i
$415$	1.62755	+	0.0776832i	0.0798934	+	0.00381332i
$416$	1.61250	−	1.17155i	0.0790591	−	0.0574398i
$417$	14.6047	−	12.1866i	0.715193	−	0.596783i
$418$	−4.39626	+	3.19407i	−0.215028	+	0.156227i
$419$	14.7134	+	20.2512i	0.718795	+	0.989336i	0.999563	+	0.0295606i	$0.00941080\pi$
$419$	14.7134	+	20.2512i	0.718795	+	0.989336i	−0.280768	+	0.959776i	$0.590589\pi$
$420$	−15.4756	−	4.69885i	−0.755133	−	0.229281i
$421$	4.86512	−	3.53472i	0.237111	−	0.172272i	−0.462884	−	0.886419i	$-0.653185\pi$
$421$	4.86512	−	3.53472i	0.237111	−	0.172272i	0.699995	+	0.714147i	$0.253185\pi$
$422$	−4.33911	−	3.15255i	−0.211225	−	0.153464i
$423$	−20.1269	+	19.2240i	−0.978603	+	0.934705i
$424$	−4.51862	+	6.21934i	−0.219443	+	0.302038i
$425$	22.9507	−	25.9727i	1.11327	−	1.25986i
$426$	10.8166	−	9.02577i	0.524066	−	0.437300i
$427$	−16.8103	−	51.7368i	−0.813507	−	2.50372i
$428$	−14.1300			−0.683001
$429$	−3.17299	+	5.04698i	−0.153193	+	0.243670i
$430$	−3.86909	+	4.82377i	−0.186584	+	0.232623i
$431$	17.8709	+	24.5972i	0.860811	+	1.18480i	0.981376	+	0.192099i	$0.0615294\pi$
$431$	17.8709	+	24.5972i	0.860811	+	1.18480i	−0.120565	+	0.992705i	$0.538471\pi$
$432$	−3.83275	−	3.50856i	−0.184403	−	0.168806i
$433$	−27.4846			−1.32082			−0.660412	−	0.750904i	$-0.729618\pi$
$433$	−27.4846			−1.32082			−0.660412	+	0.750904i	$0.729618\pi$
$434$	−18.8239	−	13.6472i	−0.903576	−	0.655088i
$435$	−32.1945	+	0.623883i	−1.54361	+	0.0299129i
$436$	−2.61334	−	1.89870i	−0.125156	−	0.0909314i
$437$	−9.90640	−	13.6350i	−0.473887	−	0.652250i
$438$	−10.8674	−	2.74122i	−0.519263	−	0.130981i
$439$	−27.3101			−1.30344			−0.651719	−	0.758460i	$-0.725952\pi$
$439$	−27.3101			−1.30344			−0.651719	+	0.758460i	$0.725952\pi$
$440$	−2.11814	−	3.22857i	−0.100978	−	0.153916i
$441$	−22.6450	+	21.6292i	−1.07833	+	1.02996i
$442$	13.1403	+	4.26955i	0.625022	+	0.203082i
$443$	−3.28408	+	10.1073i	−0.156031	+	0.480215i	−0.998264	−	0.0588995i	$-0.981241\pi$
$443$	−3.28408	+	10.1073i	−0.156031	+	0.480215i	0.842233	+	0.539114i	$0.181241\pi$
$444$	2.93355	−	1.17588i	0.139220	−	0.0558048i
$445$	18.2031	−	22.6947i	0.862912	−	1.07583i
$446$	−18.9561	−	13.7724i	−0.897597	−	0.652142i
$447$	−5.21357	+	0.350200i	−0.246594	+	0.0165639i
$448$	3.97153	+	1.29043i	0.187637	+	0.0609670i
$449$	−5.66463	+	4.11559i	−0.267330	+	0.194227i	−0.713372	−	0.700785i	$-0.752833\pi$
$449$	−5.66463	+	4.11559i	−0.267330	+	0.194227i	0.446042	+	0.895012i	$0.352833\pi$
$450$	11.7846	−	9.28031i	0.555529	−	0.437478i
$451$	−12.0600	−	3.91853i	−0.567882	−	0.184516i
$452$	−6.65394	+	4.83437i	−0.312975	+	0.227390i
$453$	−4.31194	−	10.7573i	−0.202593	−	0.505422i
$454$	6.67736	+	20.5508i	0.313384	+	0.964497i
$455$	18.5902	+	0.887311i	0.871521	+	0.0415978i
$456$	3.49200	+	4.18486i	0.163528	+	0.195974i
$457$	6.47063	−	19.9145i	0.302683	−	0.931563i	−0.677848	−	0.735202i	$-0.737087\pi$
$457$	6.47063	−	19.9145i	0.302683	−	0.931563i	0.980532	−	0.196361i	$-0.0629126\pi$
$458$	−10.3674	+	3.36856i	−0.484435	+	0.157402i
$459$	4.05976	−	35.7902i	0.189493	−	1.67055i
$460$	10.0134	−	6.56939i	0.466876	−	0.306300i
$461$	−12.4457	−	38.3038i	−0.579653	−	1.78399i	−0.619759	−	0.784793i	$-0.712769\pi$
$461$	−12.4457	−	38.3038i	−0.579653	−	1.78399i	0.0401058	−	0.999195i	$-0.487231\pi$
$462$	−12.4621	+	0.837088i	−0.579789	+	0.0389449i
$463$	33.3793	+	24.2515i	1.55127	+	1.12706i	0.942741	+	0.333526i	$0.108238\pi$
$463$	33.3793	+	24.2515i	1.55127	+	1.12706i	0.608525	+	0.793535i	$0.291762\pi$
$464$	8.31415			0.385975
$465$	20.3683	−	7.08035i	0.944558	−	0.328343i
$466$	−17.1945			−0.796521
$467$	6.20450	+	4.50783i	0.287110	+	0.208598i	0.722013	−	0.691880i	$-0.243217\pi$
$467$	6.20450	+	4.50783i	0.287110	+	0.208598i	−0.434903	+	0.900477i	$0.643217\pi$
$468$	5.26407	+	2.83611i	0.243332	+	0.131099i
$469$	−10.1475	−	31.2309i	−0.468569	−	1.44211i
$470$	11.3797	+	17.3455i	0.524907	+	0.800088i
$471$	−16.9301	−	10.6438i	−0.780098	−	0.490440i
$472$	−10.7990	+	3.50882i	−0.497065	+	0.161506i
$473$	−1.47572	+	4.54180i	−0.0678537	+	0.208832i
$474$	−13.6286	+	11.3722i	−0.625980	+	0.522340i
$475$	−13.5521	+	7.99383i	−0.621811	+	0.366782i
$476$	8.94526	+	27.5307i	0.410005	+	1.26187i
$477$	−22.6899	−	4.12932i	−1.03890	−	0.189069i
$478$	−1.48816	+	1.08121i	−0.0680670	+	0.0494536i
$479$	−38.2267	−	12.4206i	−1.74662	−	0.567511i	−0.750941	−	0.660369i	$-0.770400\pi$
$479$	−38.2267	−	12.4206i	−1.74662	−	0.567511i	−0.995679	+	0.0928580i	$0.970400\pi$
$480$	−3.08861	+	2.33676i	−0.140975	+	0.106658i
$481$	−2.94229	+	2.13770i	−0.134157	+	0.0974708i
$482$	23.8006	+	7.73328i	1.08409	+	0.352241i
$483$	−2.59622	−	38.6511i	−0.118132	−	1.75869i
$484$	6.48667	+	4.71284i	0.294849	+	0.214220i
$485$	−7.64992	−	6.13590i	−0.347365	−	0.278617i
$486$	4.50187	−	14.9242i	0.204209	−	0.676978i
$487$	−12.3332	+	37.9576i	−0.558869	+	1.72002i	0.126632	+	0.991950i	$0.459583\pi$
$487$	−12.3332	+	37.9576i	−0.558869	+	1.72002i	−0.685501	+	0.728072i	$0.740417\pi$
$488$	−12.3893	−	4.02553i	−0.560838	−	0.182227i
$489$	6.64939	−	26.3610i	0.300696	−	1.19208i
$490$	12.8034	+	19.5156i	0.578401	+	0.881626i
$491$	22.4770			1.01437			0.507185	−	0.861837i	$-0.330686\pi$
$491$	22.4770			1.01437			0.507185	+	0.861837i	$0.330686\pi$
$492$	−3.11079	+	12.3325i	−0.140245	+	0.555991i
$493$	33.8763	+	46.6267i	1.52571	+	2.09996i
$494$	−5.07421	−	3.68663i	−0.228300	−	0.165869i
$495$	5.97440	−	9.92462i	0.268529	−	0.446078i
$496$	−5.29351	+	1.72590i	−0.237686	+	0.0774952i
$497$	−33.9650			−1.52354
$498$	−0.469591	−	1.17152i	−0.0210429	−	0.0524971i
$499$	20.7786	+	28.5993i	0.930178	+	1.28028i	0.959790	+	0.280718i	$0.0905727\pi$
$499$	20.7786	+	28.5993i	0.930178	+	1.28028i	−0.0296124	+	0.999561i	$0.509427\pi$
$500$	−5.21471	−	9.88973i	−0.233209	−	0.442282i
$501$	−18.1750	−	11.4265i	−0.812000	−	0.510497i
$502$	9.58571			0.427831
$503$	0.875376	+	2.69413i	0.0390311	+	0.120125i	0.968674	−	0.248337i	$-0.0798842\pi$
$503$	0.875376	+	2.69413i	0.0390311	+	0.120125i	−0.929642	+	0.368463i	$0.879884\pi$
$504$	1.67544	+	12.4152i	0.0746299	+	0.553017i
$505$	−3.45549	−	12.6595i	−0.153767	−	0.563340i
$506$	5.43628	−	7.48240i	0.241672	−	0.332633i
$507$	15.1609	+	3.82425i	0.673320	+	0.169841i
$508$	−1.60163	−	1.16365i	−0.0710608	−	0.0516287i
$509$	−13.3832	+	9.72346i	−0.593199	+	0.430985i	−0.843459	−	0.537194i	$-0.819484\pi$
$509$	−13.3832	+	9.72346i	−0.593199	+	0.430985i	0.250259	+	0.968179i	$0.419484\pi$
$510$	−25.6895	−	7.80008i	−1.13755	−	0.345393i
$511$	15.8829	+	21.8609i	0.702616	+	0.967068i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−6.77337	+	14.8824i	−0.299051	+	0.657074i
$514$	6.25783	−	4.54658i	0.276021	−	0.200541i
$515$	12.1351	+	0.579210i	0.534736	+	0.0255230i
$516$	4.64442	+	1.17153i	0.204459	+	0.0515736i
$517$	12.9612	+	9.41690i	0.570035	+	0.414155i
$518$	−7.24678	−	2.35462i	−0.318405	−	0.103456i
$519$	26.5415	+	31.8077i	1.16504	+	1.39620i
$520$	2.78858	−	3.47666i	0.122287	−	0.152461i
$521$			24.1572i			1.05835i	0.848514	+	0.529173i	$0.177498\pi$
$521$			24.1572i			1.05835i	−0.848514	+	0.529173i	$0.822502\pi$
$522$	10.8109	+	22.4778i	0.473180	+	0.983826i
$523$	−5.33305	−	16.4134i	−0.233198	−	0.717709i	−0.997355	−	0.0726795i	$-0.976845\pi$
$523$	−5.33305	−	16.4134i	−0.233198	−	0.717709i	0.764158	−	0.645030i	$-0.223155\pi$
$524$	−3.68115	−	5.06667i	−0.160812	−	0.221338i
$525$	−36.1500	−	1.02396i	−1.57771	−	0.0446893i
$526$			26.0147i			1.13429i
$527$	−31.2476	−	22.6544i	−1.36117	−	0.986840i
$528$	−1.59194	+	2.53216i	−0.0692804	+	0.110198i
$529$	4.59922	+	3.34153i	0.199966	+	0.145284i
$530$	−6.08534	+	16.0767i	−0.264330	+	0.698326i
$531$	−23.5283	−	24.6333i	−1.02104	−	1.06899i
$532$		−	13.1408i		−	0.569726i
$533$		−	14.6361i		−	0.633960i
$534$	−21.8509	−	5.51176i	−0.945582	−	0.238517i
$535$	−30.4806	+	8.31988i	−1.31779	+	0.359700i
$536$	−7.47881	−	2.43001i	−0.323035	−	0.104961i
$537$	−11.2984	+	4.52885i	−0.487563	+	0.195434i
$538$	0.0247358	+	0.0761289i	0.00106644	+	0.00328215i
$539$	14.5828	+	10.5951i	0.628128	+	0.456361i
$540$	−10.3337	−	5.31175i	−0.444692	−	0.228581i
$541$	4.61194	−	14.1941i	0.198283	−	0.610252i	−0.801640	−	0.597807i	$-0.796039\pi$
$541$	4.61194	−	14.1941i	0.198283	−	0.610252i	0.999923	−	0.0124444i	$-0.00396126\pi$
$542$	−8.77962	−	12.0841i	−0.377117	−	0.519057i
$543$	16.6728	−	1.11993i	0.715499	−	0.0480606i
$544$	6.59273	+	2.14211i	0.282661	+	0.0918421i
$545$	−6.75535	−	2.55703i	−0.289367	−	0.109531i
$546$	−5.36375	−	13.3813i	−0.229547	−	0.572667i
$547$	9.34367	−	3.03594i	0.399506	−	0.129807i	−0.102371	−	0.994746i	$-0.532643\pi$
$547$	9.34367	−	3.03594i	0.399506	−	0.129807i	0.501877	+	0.864939i	$0.332643\pi$
$548$	8.08945	−	11.1342i	0.345564	−	0.475628i
$549$	−5.22658	−	38.7296i	−0.223065	−	1.65294i
$550$	−6.47015	−	5.71733i	−0.275888	−	0.243788i
$551$	−8.08482	−	24.8825i	−0.344425	−	1.06003i
$552$	−7.85347	−	4.93740i	−0.334266	−	0.210150i
$553$	42.7947			1.81982
$554$	0.949903	+	2.92350i	0.0403575	+	0.124208i
$555$	5.63574	−	4.26385i	0.239224	−	0.180990i
$556$	−6.45504	+	8.88459i	−0.273754	+	0.376791i
$557$		−	11.9543i		−	0.506521i	−0.967398	−	0.253260i	$-0.918497\pi$
$557$		−	11.9543i		−	0.506521i	0.967398	−	0.253260i	$-0.0815029\pi$
$558$	−11.5492	−	12.0671i	−0.488918	−	0.510842i
$559$	−5.51197			−0.233132
$560$	9.32701	+	0.445179i	0.394138	+	0.0188123i
$561$	−20.6870	+	1.38956i	−0.873407	+	0.0586674i
$562$	12.2772	−	3.98910i	0.517882	−	0.168270i
$563$	12.4146			0.523214			0.261607	−	0.965175i	$-0.415748\pi$
$563$	12.4146			0.523214			0.261607	+	0.965175i	$0.415748\pi$
$564$	8.55272	−	13.6040i	0.360134	−	0.572833i
$565$	−11.5070	+	14.3464i	−0.484105	+	0.603556i
$566$	9.71441	+	3.15640i	0.408327	+	0.132673i
$567$	−31.3866	+	20.6731i	−1.31811	+	0.868190i
$568$	−4.78078	+	6.58017i	−0.200597	+	0.276098i
$569$	10.3329	+	31.8015i	0.433179	+	1.33319i	0.894941	+	0.446184i	$0.147217\pi$
$569$	10.3329	+	31.8015i	0.433179	+	1.33319i	−0.461763	+	0.887003i	$0.652783\pi$
$570$	9.99686	+	6.97127i	0.418722	+	0.291994i
$571$	3.08594	+	4.24743i	0.129142	+	0.177749i	0.868692	−	0.495353i	$-0.164961\pi$
$571$	3.08594	+	4.24743i	0.129142	+	0.177749i	−0.739549	+	0.673102i	$0.764961\pi$
$572$	1.06360	−	3.27343i	0.0444715	−	0.136869i
$573$	−26.8335	+	1.80243i	−1.12099	+	0.0752975i
$574$	24.8081	−	18.0241i	1.03547	−	0.752313i
$575$	17.7323	−	20.0671i	0.739487	−	0.836858i
$576$	2.64108	+	1.42293i	0.110045	+	0.0592886i
$577$	−14.1941	+	19.5365i	−0.590909	+	0.813317i	−0.994838	−	0.101474i	$-0.967644\pi$
$577$	−14.1941	+	19.5365i	−0.590909	+	0.813317i	0.403929	+	0.914790i	$0.367644\pi$
$578$	9.59581	+	29.5329i	0.399133	+	1.22841i
$579$	2.63474	+	6.57305i	0.109496	+	0.273167i
$580$	17.9349	−	4.89544i	0.744706	−	0.203272i
$581$	−0.940325	+	2.89402i	−0.0390113	+	0.120064i
$582$	−1.85790	+	7.36550i	−0.0770124	+	0.305310i
$583$			13.2753i			0.549805i
$584$	6.47080			0.267764
$585$	13.0253	+	3.01839i	0.538531	+	0.124795i
$586$	−21.6735	+	15.7467i	−0.895325	+	0.650492i
$587$	12.9414	−	17.8123i	0.534148	−	0.735192i	−0.453607	−	0.891202i	$-0.649863\pi$
$587$	12.9414	−	17.8123i	0.534148	−	0.735192i	0.987756	+	0.156009i	$0.0498630\pi$
$588$	9.62276	−	15.3060i	0.396836	−	0.631211i
$589$	10.3128	+	14.1641i	0.424930	+	0.583621i
$590$	−21.2291	+	13.9276i	−0.873989	+	0.573391i
$591$	3.38029	+	8.43305i	0.139047	+	0.346889i
$592$	−1.47620	+	1.07252i	−0.0606714	+	0.0440804i
$593$	8.20117	+	25.2406i	0.336782	+	1.03651i	0.965838	+	0.259148i	$0.0834416\pi$
$593$	8.20117	+	25.2406i	0.336782	+	1.03651i	−0.629056	+	0.777360i	$0.716558\pi$
$594$	−8.91583	−	1.01134i	−0.365821	−	0.0414958i
$595$	35.5066	+	54.1208i	1.45563	+	2.21874i
$596$	2.86919	−	0.932255i	0.117526	−	0.0381867i
$597$	−21.7823	+	18.1759i	−0.891490	+	0.743891i
$598$	10.1525	+	3.29876i	0.415168	+	0.134896i
$599$	12.4148	−	17.0875i	0.507254	−	0.698175i	−0.476200	−	0.879337i	$-0.657986\pi$
$599$	12.4148	−	17.0875i	0.507254	−	0.698175i	0.983453	+	0.181163i	$0.0579860\pi$
$600$	−5.28670	+	6.85936i	−0.215829	+	0.280032i
$601$	19.8793	−	27.3615i	0.810894	−	1.11610i	−0.180291	−	0.983613i	$-0.557704\pi$
$601$	19.8793	−	27.3615i	0.810894	−	1.11610i	0.991185	−	0.132486i	$-0.0422961\pi$
$602$	−6.78791	−	9.34276i	−0.276655	−	0.380783i
$603$	−3.15502	−	23.3791i	−0.128483	−	0.952072i
$604$	3.93293	+	5.41321i	0.160028	+	0.220260i
$605$	16.7677	+	6.34691i	0.681704	+	0.258039i
$606$	−7.80453	+	6.51238i	−0.317037	+	0.264547i
$607$	−17.6107	−	24.2391i	−0.714797	−	0.983833i	−0.999681	−	0.0252712i	$-0.991955\pi$
$607$	−17.6107	−	24.2391i	−0.714797	−	0.983833i	0.284884	−	0.958562i	$-0.408045\pi$
$608$	−2.54582	−	1.84965i	−0.103247	−	0.0750130i
$609$	14.7081	−	58.3090i	0.596001	−	2.36280i
$610$	−29.0959	−	1.38875i	−1.17806	−	0.0562289i
$611$	−5.71421	+	17.5865i	−0.231172	+	0.711475i
$612$	2.78122	+	20.6092i	0.112424	+	0.833078i
$613$	7.62889	+	23.4793i	0.308128	+	0.948320i	0.978491	+	0.206287i	$0.0661381\pi$
$613$	7.62889	+	23.4793i	0.308128	+	0.948320i	−0.670364	+	0.742033i	$0.733862\pi$
$614$			7.35585i			0.296858i
$615$	0.551023	+	28.4347i	0.0222194	+	1.14660i
$616$	6.85826	−	2.22838i	0.276327	−	0.0897842i
$617$	9.74528	−	7.08036i	0.392330	−	0.285044i	−0.374080	−	0.927397i	$-0.622041\pi$
$617$	9.74528	−	7.08036i	0.392330	−	0.285044i	0.766410	+	0.642352i	$0.222041\pi$
$618$	−3.50129	−	8.73491i	−0.140843	−	0.351370i
$619$			24.6624i			0.991264i	0.868533	+	0.495632i	$0.165064\pi$
$619$			24.6624i			0.991264i	−0.868533	+	0.495632i	$0.834936\pi$
$620$	−10.4027	+	6.83989i	−0.417782	+	0.274697i
$621$	3.13666	−	27.6524i	0.125870	−	1.10965i
$622$	2.83466	−	3.90158i	0.113660	−	0.156439i
$623$	31.9355	+	43.9555i	1.27947	+	1.76104i
$624$	−3.34739	−	0.844359i	−0.134003	−	0.0338014i
$625$	−17.0721	−	18.2632i	−0.682883	−	0.730528i
$626$	−19.2429			−0.769101
$627$	9.12624	+	2.30204i	0.364467	+	0.0919345i
$628$	10.9807	+	3.56786i	0.438179	+	0.142373i
$629$	−12.0296	−	3.90867i	−0.479653	−	0.155849i
$630$	10.9244	+	25.7950i	0.435237	+	1.02770i
$631$	−13.7239	+	4.45918i	−0.546342	+	0.177517i	−0.569167	−	0.822222i	$-0.692734\pi$
$631$	−13.7239	+	4.45918i	−0.546342	+	0.177517i	0.0228247	+	0.999739i	$0.492734\pi$
$632$	6.02361	−	8.29079i	0.239606	−	0.329790i
$633$	0.622597	+	9.26886i	0.0247460	+	0.368404i
$634$	−4.85578	+	14.9446i	−0.192848	+	0.593524i
$635$	−4.14012	−	1.56712i	−0.164296	−	0.0621892i
$636$	13.2853	−	0.892381i	0.526795	−	0.0353852i
$637$	−6.42912	+	19.7868i	−0.254731	+	0.783982i
$638$	11.6153	−	8.43903i	0.459855	−	0.334104i
$639$	−24.0063	−	4.36889i	−0.949675	−	0.172831i
$640$	1.39908	−	1.74430i	0.0553035	−	0.0689494i
$641$	15.9935	+	11.6200i	0.631707	+	0.458962i	0.856991	−	0.515331i	$-0.172331\pi$
$641$	15.9935	+	11.6200i	0.631707	+	0.458962i	−0.225284	+	0.974293i	$0.572331\pi$
$642$	15.6800	+	18.7912i	0.618842	+	0.741629i
$643$	−9.54590	+	29.3792i	−0.376453	+	1.15860i	0.566040	+	0.824378i	$0.308475\pi$
$643$	−9.54590	+	29.3792i	−0.376453	+	1.15860i	−0.942493	+	0.334226i	$0.891525\pi$
$644$	6.91132	+	21.2709i	0.272344	+	0.838189i
$645$	10.7085	−	0.207516i	0.421648	−	0.00817093i
$646$		−	21.8137i		−	0.858248i
$647$	1.22010	−	0.396435i	0.0479671	−	0.0155855i	−0.284935	−	0.958547i	$-0.591972\pi$
$647$	1.22010	−	0.396435i	0.0479671	−	0.0155855i	0.332902	+	0.942961i	$0.391972\pi$
$648$	−0.412767	+	8.99053i	−0.0162150	+	0.353181i
$649$	−11.5253	+	15.8632i	−0.452408	+	0.622687i
$650$	3.96831	−	9.14161i	0.155650	−	0.358564i
$651$	2.73969	+	40.1778i	0.107377	+	1.57469i
$652$			15.6962i			0.614712i
$653$	18.2650	+	13.2703i	0.714765	+	0.519307i	0.884707	−	0.466147i	$-0.154358\pi$
$653$	18.2650	+	13.2703i	0.714765	+	0.519307i	−0.169942	+	0.985454i	$0.554358\pi$
$654$	0.374975	+	5.58241i	0.0146627	+	0.218289i
$655$	−10.9241	−	8.76208i	−0.426840	−	0.342363i
$656$		−	7.34318i		−	0.286703i
$657$	8.41399	+	17.4942i	0.328261	+	0.682513i
$658$	−36.8461	+	11.9720i	−1.43641	+	0.466718i
$659$	9.67175	+	3.14254i	0.376758	+	0.122416i	0.491273	−	0.871005i	$-0.336532\pi$
$659$	9.67175	+	3.14254i	0.376758	+	0.122416i	−0.114516	+	0.993421i	$0.536532\pi$
$660$	−1.94310	+	6.39959i	−0.0756352	+	0.249104i
$661$	−9.48455	−	6.89093i	−0.368906	−	0.268026i	0.387851	−	0.921722i	$-0.373218\pi$
$661$	−9.48455	−	6.89093i	−0.368906	−	0.268026i	−0.756757	+	0.653696i	$0.773218\pi$
$662$	−7.18185	+	2.33352i	−0.279131	+	0.0906950i
$663$	−8.90380	−	22.2129i	−0.345795	−	0.862679i
$664$	0.428315	+	0.589524i	0.0166218	+	0.0228780i
$665$	−7.73741	−	28.3467i	−0.300044	−	1.09924i
$666$	−4.81913	−	2.59639i	−0.186737	−	0.100608i
$667$	26.1736	+	36.0249i	1.01345	+	1.39489i
$668$	11.7882	+	3.83021i	0.456099	+	0.148195i
$669$	2.71991	+	40.4925i	0.105158	+	1.56553i
$670$	−17.5637	−	0.838319i	−0.678546	−	0.0323871i
$671$	−21.3946	+	6.95152i	−0.825928	+	0.268360i
$672$	−2.69108	−	6.71363i	−0.103811	−	0.258984i
$673$	0.649428	−	1.99874i	0.0250336	−	0.0770456i	−0.937759	−	0.347286i	$-0.887103\pi$
$673$	0.649428	−	1.99874i	0.0250336	−	0.0770456i	0.962793	+	0.270241i	$0.0871032\pi$
$674$	−9.02482	+	27.7755i	−0.347623	+	1.06987i
$675$	−25.4190	−	5.37368i	−0.978376	−	0.206833i
$676$	−9.02734			−0.347205
$677$		−	23.2013i		−	0.891699i	−0.895108	−	0.445850i	$-0.852902\pi$
$677$		−	23.2013i		−	0.891699i	0.895108	−	0.445850i	$-0.147098\pi$
$678$	13.8130	+	3.48424i	0.530484	+	0.133811i
$679$	14.8165	−	10.7648i	0.568605	−	0.413116i
$680$	15.4828	+	0.738996i	0.593739	+	0.0283392i
$681$	19.9202	−	31.6852i	0.763344	−	1.21418i
$682$	−5.64351	+	7.78420i	−0.216101	+	0.298072i
$683$	7.19691			0.275382			0.137691	−	0.990475i	$-0.456032\pi$
$683$	7.19691			0.275382			0.137691	+	0.990475i	$0.456032\pi$
$684$	1.69029	−	9.28786i	0.0646299	−	0.355130i
$685$	10.8943	−	28.7812i	0.416249	−	1.09967i
$686$	−13.6552	+	4.43684i	−0.521358	+	0.169399i
$687$	15.9844	+	10.0492i	0.609843	+	0.383402i
$688$	−2.76545			−0.105432
$689$	−14.5725	+	4.73489i	−0.555168	+	0.180385i
$690$	−19.8483	−	6.02653i	−0.755612	−	0.229426i
$691$	12.0532	−	37.0958i	0.458524	−	1.41119i	−0.408423	−	0.912793i	$-0.633921\pi$
$691$	12.0532	−	37.0958i	0.458524	−	1.41119i	0.866947	−	0.498400i	$-0.166079\pi$
$692$	−19.3499	−	14.0585i	−0.735572	−	0.534424i
$693$	14.9424	+	15.6441i	0.567614	+	0.594271i
$694$	0.163252	−	0.224697i	0.00619695	−	0.00852937i
$695$	−8.69317	+	22.9662i	−0.329751	+	0.871158i
$696$	−9.22619	−	11.0568i	−0.349718	−	0.419107i
$697$	41.1814	−	29.9200i	1.55986	−	1.13330i
$698$	0.695905	−	0.505604i	0.0263404	−	0.0191374i
$699$	19.0807	+	22.8666i	0.721699	+	0.864894i
$700$	20.3819	−	4.53151i	0.770364	−	0.171275i
$701$	−25.2168	+	34.7080i	−0.952426	+	1.31090i	−0.00198465	+	0.999998i	$0.500632\pi$
$701$	−25.2168	+	34.7080i	−0.952426	+	1.31090i	−0.950441	+	0.310904i	$0.899368\pi$
$702$	−2.06985	−	10.1478i	−0.0781213	−	0.383004i
$703$	4.64531	+	3.37502i	0.175201	+	0.127291i
$704$	0.533628	−	1.64234i	0.0201119	−	0.0618979i
$705$	10.4393	−	34.3819i	0.393168	−	1.29490i
$706$	0.831339	−	0.270118i	0.0312878	−	0.0101660i
$707$	24.5068			0.921674
$708$	16.6499	+	10.4677i	0.625743	+	0.393398i
$709$	44.9028	−	14.5898i	1.68636	−	0.547932i	0.700233	−	0.713914i	$-0.253079\pi$
$709$	44.9028	−	14.5898i	1.68636	−	0.547932i	0.986129	+	0.165982i	$0.0530794\pi$
$710$	−6.43840	+	17.0094i	−0.241629	+	0.638351i
$711$	30.2471	+	5.50466i	1.13436	+	0.206441i
$712$	13.0108			0.487600
$713$	−24.1427	−	17.5033i	−0.904150	−	0.655504i
$714$	26.6859	−	42.4468i	0.998694	−	1.58853i
$715$	0.366927	−	7.68755i	0.0137223	−	0.287498i
$716$	5.68551	−	4.13077i	0.212478	−	0.154374i
$717$	3.08929	+	0.779254i	0.115372	+	0.0291018i
$718$		−	10.6455i		−	0.397285i
$719$	−17.2964			−0.645049			−0.322524	−	0.946561i	$-0.604531\pi$
$719$	−17.2964			−0.645049			−0.322524	+	0.946561i	$0.604531\pi$
$720$	6.53503	+	1.51438i	0.243546	+	0.0564376i
$721$	−7.01111	+	21.5780i	−0.261107	+	0.803606i
$722$	2.81132	−	8.65235i	0.104626	−	0.322007i
$723$	−16.1271	−	40.2335i	−0.599775	−	1.49630i
$724$	−9.17555	+	2.98132i	−0.341007	+	0.110800i
$725$	35.8058	−	21.1204i	1.32979	−	0.784393i
$726$	−0.930739	−	13.8563i	−0.0345430	−	0.514256i
$727$	−6.36991	−	2.06971i	−0.236247	−	0.0767612i	0.188501	−	0.982073i	$-0.439637\pi$
$727$	−6.36991	−	2.06971i	−0.236247	−	0.0767612i	−0.424748	+	0.905312i	$0.639637\pi$
$728$	4.89228	+	6.73365i	0.181320	+	0.249566i
$729$	−24.8431	+	10.5745i	−0.920116	+	0.391646i
$730$	13.9585	−	3.81006i	0.516627	−	0.141017i
$731$	−11.2679	−	15.5090i	−0.416759	−	0.573619i
$732$	8.39493	+	20.9434i	0.310285	+	0.774090i
$733$	41.1573	−	13.3728i	1.52018	−	0.493936i	0.574353	−	0.818608i	$-0.305254\pi$
$733$	41.1573	−	13.3728i	1.52018	−	0.493936i	0.945827	+	0.324672i	$0.105254\pi$
$734$	−6.34337	−	4.60873i	−0.234138	−	0.170111i
$735$	11.7454	−	38.6834i	0.433236	−	1.42686i
$736$	5.09370	+	1.65504i	0.187756	+	0.0610057i
$737$	−12.9148	+	4.19628i	−0.475724	+	0.154572i
$738$	19.8527	−	9.54834i	0.730788	−	0.351479i
$739$		−	5.84347i		−	0.214956i	−0.994207	−	0.107478i	$-0.965723\pi$
$739$		−	5.84347i		−	0.214956i	0.994207	−	0.107478i	$-0.0342775\pi$
$740$	−2.55288	+	3.18279i	−0.0938456	+	0.117002i
$741$	0.728072	+	10.8391i	0.0267464	+	0.398185i
$742$	−25.9714	−	18.8694i	−0.953442	−	0.692716i
$743$			8.92562i			0.327449i	0.986506	+	0.163725i	$0.0523509\pi$
$743$			8.92562i			0.327449i	−0.986506	+	0.163725i	$0.947649\pi$
$744$	8.16943	+	5.12449i	0.299506	+	0.187873i
$745$	5.64035	−	3.70042i	0.206646	−	0.135573i
$746$	19.0337	−	26.1977i	0.696874	−	0.959165i
$747$	−1.03687	+	1.92453i	−0.0379373	+	0.0704149i
$748$	11.3847	−	3.69911i	0.416266	−	0.135253i
$749$		−	59.0058i		−	2.15603i
$750$	−7.36538	+	17.9095i	−0.268946	+	0.653964i
$751$	−11.7227	−	36.0786i	−0.427766	−	1.31653i	−0.900321	−	0.435227i	$-0.856668\pi$
$751$	−11.7227	−	36.0786i	−0.427766	−	1.31653i	0.472555	−	0.881301i	$-0.343332\pi$
$752$	−2.86692	+	8.82347i	−0.104546	+	0.321759i
$753$	−10.6372	−	12.7478i	−0.387642	−	0.464556i
$754$	13.4065	+	9.74042i	0.488237	+	0.354725i
$755$	11.6713	+	9.36137i	0.424761	+	0.340695i
$756$	14.6515	−	16.0052i	0.532869	−	0.582105i
$757$	−12.0471	+	8.75272i	−0.437859	+	0.318123i	−0.784784	−	0.619770i	$-0.787226\pi$
$757$	−12.0471	+	8.75272i	−0.437859	+	0.318123i	0.346925	+	0.937893i	$0.387226\pi$
$758$	2.23614	−	6.88212i	0.0812201	−	0.249970i
$759$	−15.9833	+	1.07361i	−0.580157	+	0.0389696i
$760$	−6.58081	−	2.49097i	−0.238711	−	0.0903569i
$761$	−4.07099	+	12.5292i	−0.147573	+	0.454184i	−0.997333	−	0.0729865i	$-0.976747\pi$
$761$	−4.07099	+	12.5292i	−0.147573	+	0.454184i	0.849760	+	0.527170i	$0.176747\pi$
$762$	0.229809	+	3.42127i	0.00832511	+	0.123939i
$763$	7.92882	−	10.9131i	0.287043	−	0.395080i
$764$	14.7673	−	4.79818i	0.534262	−	0.173592i
$765$	18.1344	+	42.8196i	0.655650	+	1.54814i
$766$	−32.6623	−	10.6126i	−1.18014	−	0.383450i
$767$	−21.5241	−	6.99361i	−0.777191	−	0.252525i
$768$	−1.67945	−	0.423630i	−0.0606018	−	0.0152864i
$769$	−48.9356			−1.76466			−0.882331	−	0.470629i	$-0.844027\pi$
$769$	−48.9356			−1.76466			−0.882331	+	0.470629i	$0.844027\pi$
$770$	13.4822	−	8.84517i	0.485866	−	0.318758i
$771$	−12.9907	−	3.27682i	−0.467848	−	0.118012i
$772$	−2.40314	−	3.30765i	−0.0864911	−	0.119045i
$773$	−22.9961	+	31.6515i	−0.827114	+	1.13842i	0.161340	+	0.986899i	$0.448419\pi$
$773$	−22.9961	+	31.6515i	−0.827114	+	1.13842i	−0.988453	+	0.151525i	$0.951581\pi$
$774$	−3.59592	−	7.47655i	−0.129253	−	0.268739i
$775$	−18.4128	+	20.8799i	−0.661407	+	0.750027i
$776$		−	4.38567i		−	0.157436i
$777$	4.91038	+	12.2502i	0.176159	+	0.439475i
$778$	−17.6499	+	12.8234i	−0.632778	+	0.459740i
$779$	−21.9766	+	7.14063i	−0.787393	+	0.255840i
$780$	−7.71800	+	0.149564i	−0.276349	+	0.00535524i
$781$			14.0455i			0.502586i
$782$	11.4728	+	35.3096i	0.410265	+	1.26267i
$783$	17.8959	−	39.3207i	0.639546	−	1.40521i
$784$	−3.22560	+	9.92738i	−0.115200	+	0.354549i
$785$	25.7879	+	1.23086i	0.920410	+	0.0439313i
$786$	−2.65308	+	10.5179i	−0.0946324	+	0.375163i
$787$	19.8449	+	14.4182i	0.707395	+	0.513953i	0.882332	−	0.470627i	$-0.155972\pi$
$787$	19.8449	+	14.4182i	0.707395	+	0.513953i	−0.174937	+	0.984580i	$0.555972\pi$
$788$	−3.08317	−	4.24362i	−0.109833	−	0.151173i
$789$	34.5963	−	28.8684i	1.23166	−	1.02774i
$790$	8.11216	−	21.4313i	0.288618	−	0.762490i
$791$	−20.1879	−	27.7863i	−0.717800	−	0.987967i
$792$	5.13403	−	0.692840i	0.182430	−	0.0246190i
$793$	−15.2616	−	21.0058i	−0.541956	−	0.745939i
$794$	18.0716	−	24.8734i	0.641337	−	0.882725i
$795$	28.1329	−	9.74747i	0.997770	−	0.345707i
$796$	9.62744	−	13.2510i	0.341236	−	0.469671i
$797$	15.5895	+	5.06533i	0.552207	+	0.179423i	0.571812	−	0.820385i	$-0.306241\pi$
$797$	15.5895	+	5.06533i	0.552207	+	0.179423i	−0.0196046	+	0.999808i	$0.506241\pi$
$798$	−17.4756	+	14.5823i	−0.618631	+	0.516208i
$799$	−61.1643	+	19.8735i	−2.16384	+	0.703074i
$800$	1.99097	−	4.58651i	0.0703914	−	0.162157i
$801$	16.9180	+	35.1754i	0.597766	+	1.24286i
$802$	6.30192	+	19.3953i	0.222529	+	0.684873i
$803$	9.04007	−	6.56800i	0.319017	−	0.231780i
$804$	5.06759	+	12.6425i	0.178720	+	0.445866i
$805$	27.4332	+	41.8150i	0.966895	+	1.47379i
$806$	−10.5577	−	3.41859i	−0.371880	−	0.120415i
$807$	0.0737929	−	0.117376i	0.00259763	−	0.00413182i
$808$	3.44948	−	4.74781i	0.121352	−	0.167027i
$809$	−9.47969	+	6.88740i	−0.333288	+	0.242148i	−0.741825	−	0.670594i	$-0.766039\pi$
$809$	−9.47969	+	6.88740i	−0.333288	+	0.242148i	0.408536	+	0.912742i	$0.366039\pi$
$810$	4.40330	+	19.6370i	0.154716	+	0.689973i
$811$	−11.6494			−0.409067			−0.204533	−	0.978860i	$-0.565568\pi$
$811$	−11.6494			−0.409067			−0.204533	+	0.978860i	$0.565568\pi$
$812$			34.7192i			1.21840i
$813$	−6.32767	+	25.0855i	−0.221921	+	0.879788i
$814$	−0.973701	+	2.99674i	−0.0341282	+	0.105036i
$815$	9.24208	+	33.8592i	0.323736	+	1.18603i
$816$	−4.46719	−	11.1446i	−0.156383	−	0.390139i
$817$	2.68917	+	8.27641i	0.0940821	+	0.289555i
$818$	−6.66892	+	9.17898i	−0.233173	+	0.320935i
$819$	−11.8434	+	21.9823i	−0.413840	+	0.768124i
$820$	−4.32373	−	15.8404i	−0.150991	−	0.553169i
$821$	12.7650	−	9.27431i	0.445501	−	0.323676i	−0.342316	−	0.939585i	$-0.611211\pi$
$821$	12.7650	−	9.27431i	0.445501	−	0.323676i	0.787817	+	0.615909i	$0.211211\pi$
$822$	−23.7839	+	1.59758i	−0.829559	+	0.0557221i
$823$	12.3384	−	37.9736i	0.430088	−	1.32368i	−0.467949	−	0.883756i	$-0.655007\pi$
$823$	12.3384	−	37.9736i	0.430088	−	1.32368i	0.898037	−	0.439920i	$-0.144993\pi$
$824$	3.19353	+	4.39552i	0.111252	+	0.153125i
$825$	−0.423436	+	14.9490i	−0.0147422	+	0.520458i
$826$	−14.6525	−	45.0958i	−0.509826	−	1.56908i
$827$	−16.1174	+	22.1838i	−0.560458	+	0.771405i	−0.991385	−	0.130982i	$-0.958187\pi$
$827$	−16.1174	+	22.1838i	−0.560458	+	0.771405i	0.430926	+	0.902387i	$0.358187\pi$
$828$	2.14884	+	15.9232i	0.0746773	+	0.553368i
$829$	9.49836	+	3.08621i	0.329892	+	0.107188i	0.469280	−	0.883049i	$-0.344514\pi$
$829$	9.49836	+	3.08621i	0.329892	+	0.107188i	−0.139388	+	0.990238i	$0.544514\pi$
$830$	1.27106	+	1.01950i	0.0441190	+	0.0353873i
$831$	2.83379	−	4.50745i	0.0983031	−	0.156362i
$832$	1.99315			0.0691002
$833$	−68.8167	+	22.3599i	−2.38436	+	0.774725i
$834$	18.9785	−	1.27480i	0.657173	−	0.0441429i
$835$	27.6842	+	1.32137i	0.958050	+	0.0457278i
$836$	−5.43408			−0.187942
$837$	−3.23164	+	28.7499i	−0.111702	+	0.993742i
$838$			25.0319i			0.864712i
$839$	25.5154	−	35.1189i	0.880889	−	1.21244i	−0.0952849	−	0.995450i	$-0.530376\pi$
$839$	25.5154	−	35.1189i	0.880889	−	1.21244i	0.976174	−	0.216990i	$-0.0696238\pi$
$840$	−9.75812	−	12.8978i	−0.336687	−	0.445016i
$841$	12.3993	+	38.1612i	0.427563	+	1.31590i
$842$	6.01362			0.207243
$843$	−18.9290	−	11.9005i	−0.651949	−	0.409874i
$844$	−1.65739	−	5.10093i	−0.0570499	−	0.175581i
$845$	−19.4733	+	5.31537i	−0.669903	+	0.182854i
$846$	−27.5826	+	3.72229i	−0.948310	+	0.127975i
$847$	−19.6804	+	27.0878i	−0.676228	+	0.930748i
$848$	−7.31127	+	2.37558i	−0.251070	+	0.0815776i
$849$	−6.58242	−	16.4216i	−0.225908	−	0.563588i
$850$	33.8339	−	7.52228i	1.16049	−	0.258012i
$851$	−9.29439	−	3.01993i	−0.318607	−	0.103522i
$852$	14.0560	−	0.944155i	0.481552	−	0.0323462i
$853$	6.38749	+	8.79163i	0.218704	+	0.301020i	0.904245	−	0.427014i	$-0.140434\pi$
$853$	6.38749	+	8.79163i	0.218704	+	0.301020i	−0.685541	+	0.728034i	$0.740434\pi$
$854$	16.8103	−	51.7368i	0.575236	−	1.77040i
$855$	−1.82256	−	21.0306i	−0.0623301	−	0.719231i
$856$	−11.4314	−	8.30542i	−0.390718	−	0.283873i
$857$	−4.68798	−	14.4281i	−0.160138	−	0.492855i	0.838507	−	0.544891i	$-0.183429\pi$
$857$	−4.68798	−	14.4281i	−0.160138	−	0.492855i	−0.998645	+	0.0520357i	$0.983429\pi$
$858$	−5.53354	+	2.21806i	−0.188912	+	0.0757232i
$859$	−7.99332	−	2.59719i	−0.272728	−	0.0886149i	0.169460	−	0.985537i	$-0.445798\pi$
$859$	−7.99332	−	2.59719i	−0.272728	−	0.0886149i	−0.442188	+	0.896922i	$0.645798\pi$
$860$	−5.96550	+	1.62832i	−0.203422	+	0.0555253i
$861$	−51.4994	−	12.9904i	−1.75509	−	0.442711i
$862$			30.4038i			1.03556i
$863$		−	19.5300i		−	0.664810i	−0.943137	−	0.332405i	$-0.892140\pi$
$863$		−	19.5300i		−	0.664810i	0.943137	−	0.332405i	$-0.107860\pi$
$864$	−1.03848	−	5.09132i	−0.0353297	−	0.173210i
$865$	−50.0184	−	18.9330i	−1.70068	−	0.643740i
$866$	−22.2355	−	16.1550i	−0.755592	−	0.548970i
$867$	28.6266	−	45.5338i	0.972212	−	1.54641i
$868$	−7.20721	−	22.1053i	−0.244629	−	0.750301i
$869$		−	17.6968i		−	0.600323i
$870$	−26.4126	−	18.4187i	−0.895472	−	0.624454i
$871$	−9.21267	−	12.6802i	−0.312160	−	0.429651i
$872$	−0.998207	−	3.07217i	−0.0338036	−	0.104037i
$873$	11.8569	−	5.70269i	0.401296	−	0.193007i
$874$		−	16.8538i		−	0.570087i
$875$	41.2987	−	21.7762i	1.39615	−	0.736170i
$876$	−7.18063	−	8.60537i	−0.242611	−	0.290749i
$877$	3.31982	+	1.07867i	0.112102	+	0.0364242i	0.364531	−	0.931191i	$-0.381229\pi$
$877$	3.31982	+	1.07867i	0.112102	+	0.0364242i	−0.252429	+	0.967615i	$0.581229\pi$
$878$	−22.0943	−	16.0525i	−0.745647	−	0.541744i
$879$	44.9923	+	11.3490i	1.51755	+	0.382793i
$880$	0.184094	−	3.85698i	0.00620580	−	0.130019i
$881$	−2.00991	+	1.46028i	−0.0677155	+	0.0491982i	−0.621128	−	0.783709i	$-0.713325\pi$
$881$	−2.00991	+	1.46028i	−0.0677155	+	0.0491982i	0.553413	+	0.832907i	$0.313325\pi$
$882$	−31.0335	+	4.18799i	−1.04495	+	0.141017i
$883$	−0.0408265	+	0.0296622i	−0.00137392	+	0.000998213i	−0.588472	−	0.808518i	$-0.700270\pi$
$883$	−0.0408265	+	0.0296622i	−0.00137392	+	0.000998213i	0.587098	+	0.809516i	$0.300270\pi$
$884$	8.12117	+	11.1778i	0.273144	+	0.375951i
$885$	42.0799	+	12.7767i	1.41450	+	0.429484i
$886$	−8.59782	+	6.24669i	−0.288850	+	0.209861i
$887$	13.1029	+	9.51980i	0.439952	+	0.319644i	0.785616	−	0.618715i	$-0.212346\pi$
$887$	13.1029	+	9.51980i	0.439952	+	0.319644i	−0.345664	+	0.938358i	$0.612346\pi$
$888$	3.06446	+	0.772989i	0.102836	+	0.0259398i
$889$	4.85931	−	6.68826i	0.162976	−	0.224317i
$890$	28.0663	−	7.66087i	0.940784	−	0.256793i
$891$	8.54891	+	12.9792i	0.286399	+	0.434821i
$892$	−7.24058	−	22.2842i	−0.242433	−	0.746131i
$893$	29.1946			0.976961
$894$	−4.42371	−	2.78114i	−0.147951	−	0.0930154i
$895$	9.83228	−	12.2584i	0.328657	−	0.409752i
$896$	2.45454	+	3.37839i	0.0820005	+	0.112864i
$897$	−6.87929	−	17.1622i	−0.229693	−	0.573030i
$898$	−7.00186			−0.233655
$899$	−27.2473	−	37.4228i	−0.908747	−	1.24812i
$900$	14.9887	−	0.581138i	0.499625	−	0.0193713i
$901$	−43.1125	−	31.3231i	−1.43629	−	1.04352i
$902$	−7.45348	−	10.2588i	−0.248174	−	0.341582i
$903$	−4.89220	+	19.3947i	−0.162802	+	0.645416i
$904$	−8.22472			−0.273550
$905$	−18.0376	+	11.8338i	−0.599591	+	0.393369i
$906$	2.83454	−	11.2373i	0.0941714	−	0.373335i
$907$	−4.10378	−	1.33340i	−0.136264	−	0.0442748i	0.240091	−	0.970750i	$-0.422823\pi$
$907$	−4.10378	−	1.33340i	−0.136264	−	0.0442748i	−0.376355	+	0.926476i	$0.622823\pi$
$908$	−6.67736	+	20.5508i	−0.221596	+	0.682003i
$909$	17.3213	+	3.15230i	0.574512	+	0.104555i
$910$	14.5182	+	11.6449i	0.481274	+	0.386024i
$911$	1.11764	+	0.812016i	0.0370292	+	0.0269033i	0.606146	−	0.795353i	$-0.292715\pi$
$911$	1.11764	+	0.812016i	0.0370292	+	0.0269033i	−0.569117	+	0.822257i	$0.692715\pi$
$912$	0.365286	+	5.43817i	0.0120958	+	0.180076i
$913$	1.19676	+	0.388850i	0.0396069	+	0.0128691i
$914$	16.9403	−	12.3079i	0.560336	−	0.407108i
$915$	30.4408	+	40.2351i	1.00634	+	1.33013i
$916$	−10.3674	−	3.36856i	−0.342547	−	0.111300i
$917$	21.1580	−	15.3722i	0.698698	−	0.507634i
$918$	24.3214	−	26.5686i	0.802725	−	0.876896i
$919$	8.71424	+	26.8197i	0.287456	+	0.884699i	0.985652	+	0.168792i	$0.0539866\pi$
$919$	8.71424	+	26.8197i	0.287456	+	0.884699i	−0.698196	+	0.715907i	$0.746013\pi$
$920$	11.9624	+	0.570966i	0.394388	+	0.0188242i
$921$	9.78238	−	8.16277i	0.322340	−	0.268972i
$922$	12.4457	−	38.3038i	0.409876	−	1.26147i
$923$	−15.4180	+	5.00960i	−0.507488	+	0.164893i
$924$	−10.5741	−	6.64781i	−0.347861	−	0.218697i
$925$	−3.63289	+	8.36892i	−0.119449	+	0.275168i
$926$	12.7497	+	39.2397i	0.418983	+	1.28950i
$927$	−7.73098	+	14.3494i	−0.253919	+	0.471296i
$928$	6.72629	+	4.88694i	0.220801	+	0.160422i
$929$	49.1526			1.61265			0.806323	−	0.591476i	$-0.201455\pi$
$929$	49.1526			1.61265			0.806323	+	0.591476i	$0.201455\pi$
$930$	20.6400	+	6.24408i	0.676814	+	0.204751i
$931$	32.8472			1.07652
$932$	−13.9107	−	10.1067i	−0.455659	−	0.331056i
$933$	−8.33424	+	0.559817i	−0.272851	+	0.0183276i
$934$	2.36991	+	7.29382i	0.0775457	+	0.238661i
$935$	22.3804	−	14.6829i	0.731919	−	0.480184i
$936$	2.59170	+	5.38861i	0.0847124	+	0.176132i
$937$	−2.35042	+	0.763697i	−0.0767848	+	0.0249489i	−0.347157	−	0.937807i	$-0.612853\pi$
$937$	−2.35042	+	0.763697i	−0.0767848	+	0.0249489i	0.270373	+	0.962756i	$0.412853\pi$
$938$	10.1475	−	31.2309i	0.331328	−	1.01972i
$939$	21.3538	+	25.5907i	0.696855	+	0.835121i
$940$	−0.989046	+	20.7216i	−0.0322591	+	0.675865i
$941$	−1.82156	−	5.60618i	−0.0593811	−	0.182756i	0.916966	−	0.398966i	$-0.130631\pi$
$941$	−1.82156	−	5.60618i	−0.0593811	−	0.182756i	−0.976347	+	0.216209i	$0.930631\pi$
$942$	−7.44048	−	18.5623i	−0.242424	−	0.604792i
$943$	31.8177	−	23.1169i	1.03613	−	0.752790i
$944$	−10.7990	−	3.50882i	−0.351478	−	0.114202i
$945$	22.1814	−	43.1526i	0.721562	−	1.40376i
$946$	−3.86349	+	2.80699i	−0.125613	+	0.0912631i
$947$	−33.4313	−	10.8625i	−1.08637	−	0.352983i	−0.289528	−	0.957170i	$-0.593498\pi$
$947$	−33.4313	−	10.8625i	−1.08637	−	0.352983i	−0.796843	+	0.604186i	$0.793498\pi$
$948$	−17.7101	+	1.18960i	−0.575198	+	0.0386365i
$949$	10.4341	+	7.58085i	0.338707	+	0.246085i
$950$	−15.6625	−	1.49856i	−0.508159	−	0.0486197i
$951$	25.2629	−	10.1263i	0.819205	−	0.328369i
$952$	−8.94526	+	27.5307i	−0.289918	+	0.892274i
$953$	36.8161	+	11.9623i	1.19259	+	0.387496i	0.837030	−	0.547158i	$-0.184290\pi$
$953$	36.8161	+	11.9623i	1.19259	+	0.387496i	0.355560	+	0.934653i	$0.384290\pi$
$954$	−15.9294	−	16.6775i	−0.515732	−	0.539953i
$955$	29.0301	−	19.0455i	0.939391	−	0.616298i
$956$	−1.83947			−0.0594927
$957$	−24.1124	−	6.08219i	−0.779442	−	0.196609i
$958$	−23.6254	−	32.5175i	−0.763301	−	1.05059i
$959$	46.4953	+	33.7808i	1.50141	+	1.09084i
$960$	−3.87226	+	0.0750387i	−0.124977	+	0.00242186i
$961$	25.1164	+	18.1705i	0.810207	+	0.586144i
$962$	−3.63687			−0.117258
$963$	7.58988	−	41.7051i	0.244580	−	1.34393i
$964$	14.7096	+	20.2460i	0.473764	+	0.652080i
$965$	−7.13152	−	5.72010i	−0.229572	−	0.184137i
$966$	20.6182	−	32.7954i	0.663378	−	1.05518i
$967$	17.3213			0.557014			0.278507	−	0.960434i	$-0.410160\pi$
$967$	17.3213			0.557014			0.278507	+	0.960434i	$0.410160\pi$
$968$	2.47769	+	7.62554i	0.0796359	+	0.245094i
$969$	−29.0095	+	24.2066i	−0.931920	+	0.777627i
$970$	−2.58232	−	9.46056i	−0.0829133	−	0.303760i
$971$	−19.0653	+	26.2411i	−0.611834	+	0.842118i	−0.996727	−	0.0808438i	$-0.974238\pi$
$971$	−19.0653	+	26.2411i	−0.611834	+	0.842118i	0.384893	+	0.922961i	$0.374238\pi$
$972$	12.4143	−	9.42783i	0.398190	−	0.302398i
$973$	−37.1013	−	26.9557i	−1.18941	−	0.864159i
$974$	−32.2886	+	23.4591i	−1.03459	+	0.751677i
$975$	−16.5608	+	4.86706i	−0.530371	+	0.155871i
$976$	−7.65702	−	10.5390i	−0.245095	−	0.337345i
$977$	4.55906	−	3.31235i	0.145857	−	0.105971i	−0.512464	−	0.858709i	$-0.671267\pi$
$977$	4.55906	−	3.31235i	0.145857	−	0.105971i	0.658321	+	0.752738i	$0.271267\pi$
$978$	20.8741	−	17.4181i	0.667479	−	0.556968i
$979$	18.1768	−	13.2062i	0.580933	−	0.422073i
$980$	−1.11279	+	23.3141i	−0.0355467	+	0.744743i
$981$	7.00781	−	6.69345i	0.223742	−	0.213705i
$982$	18.1842	+	13.2116i	0.580282	+	0.421600i
$983$	44.1505	+	14.3454i	1.40818	+	0.457546i	0.911827	−	0.410574i	$-0.134672\pi$
$983$	44.1505	+	14.3454i	1.40818	+	0.457546i	0.496355	+	0.868120i	$0.334672\pi$
$984$	−9.76553	+	8.14871i	−0.311314	+	0.259771i
$985$	−9.14955	−	7.33874i	−0.291529	−	0.233832i
$986$			57.6337i			1.83543i
$987$	56.8093	+	35.7154i	1.80826	+	1.13683i
$988$	−1.93818	−	5.96509i	−0.0616616	−	0.189775i
$989$	−8.70586	−	11.9826i	−0.276830	−	0.381024i
$990$	10.6669	−	4.51752i	0.339017	−	0.143576i
$991$		−	40.6014i		−	1.28975i	−0.764290	−	0.644873i	$-0.776910\pi$
$991$		−	40.6014i		−	1.28975i	0.764290	−	0.644873i	$-0.223090\pi$
$992$	−5.29700	−	1.71517i	−0.168180	−	0.0544566i
$993$	11.0730	+	6.96147i	0.351390	+	0.220916i
$994$	−27.4783	−	19.9641i	−0.871557	−	0.633223i
$995$	12.9655	−	34.2532i	0.411035	−	1.08590i
$996$	0.308696	−	1.22380i	0.00978139	−	0.0387776i
$997$			20.4330i			0.647119i	0.946208	+	0.323559i	$0.104880\pi$
$997$			20.4330i			0.647119i	−0.946208	+	0.323559i	$0.895120\pi$
$998$			35.3507i			1.11901i
$999$	1.89489	+	9.29005i	0.0599517	+	0.293924i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.y.b.29.15	yes	128
3.2	odd	2		930.2.y.a.29.30	yes	128
5.4	even	2		930.2.y.a.29.18	✓	128
15.14	odd	2	inner	930.2.y.b.29.3	yes	128
31.15	odd	10	inner	930.2.y.b.449.3	yes	128
93.77	even	10		930.2.y.a.449.18	yes	128
155.139	odd	10		930.2.y.a.449.30	yes	128
465.449	even	10	inner	930.2.y.b.449.15	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.y.a.29.18	✓	128	5.4	even	2
930.2.y.a.29.30	yes	128	3.2	odd	2
930.2.y.a.449.18	yes	128	93.77	even	10
930.2.y.a.449.30	yes	128	155.139	odd	10
930.2.y.b.29.3	yes	128	15.14	odd	2	inner
930.2.y.b.29.15	yes	128	1.1	even	1	trivial
930.2.y.b.449.3	yes	128	31.15	odd	10	inner
930.2.y.b.449.15	yes	128	465.449	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.y (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.116082 - 1.72816i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.22659 + 1.86962i) q^{5} +(0.921873 - 1.46634i) q^{6} +(-3.97153 + 1.29043i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.97305 + 0.401214i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.116082 - 1.72816i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.22659 + 1.86962i) q^{5} +(0.921873 - 1.46634i) q^{6} +(-3.97153 + 1.29043i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.97305 + 0.401214i) q^{9} +(-0.106606 + 2.23353i) q^{10} +(0.533628 + 1.64234i) q^{11} +(1.60770 - 0.644430i) q^{12} +(-1.61250 + 1.17155i) q^{13} +(-3.97153 - 1.29043i) q^{14} +(3.08861 - 2.33676i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-6.59273 - 2.14211i) q^{17} +(-2.64108 - 1.42293i) q^{18} +(2.54582 + 1.84965i) q^{19} +(-1.39908 + 1.74430i) q^{20} +(2.69108 + 6.71363i) q^{21} +(-0.533628 + 1.64234i) q^{22} +(-5.09370 - 1.65504i) q^{23} +(1.67945 + 0.423630i) q^{24} +(-1.99097 + 4.58651i) q^{25} -1.99315 q^{26} +(1.03848 + 5.09132i) q^{27} +(-2.45454 - 3.37839i) q^{28} +(-6.72629 - 4.88694i) q^{29} +(3.87226 - 0.0750387i) q^{30} +(5.29700 + 1.71517i) q^{31} -1.00000 q^{32} +(2.77627 - 1.11284i) q^{33} +(-4.07453 - 5.60811i) q^{34} +(-7.28404 - 5.84244i) q^{35} +(-1.30030 - 2.70356i) q^{36} +1.82468 q^{37} +(0.972416 + 2.99279i) q^{38} +(2.21180 + 2.65065i) q^{39} +(-2.15715 + 0.588809i) q^{40} +(-4.31621 + 5.94076i) q^{41} +(-1.76904 + 7.01322i) q^{42} +(2.23730 + 1.62549i) q^{43} +(-1.39706 + 1.01502i) q^{44} +(-4.39682 - 5.06635i) q^{45} +(-3.14808 - 4.33296i) q^{46} +(7.50569 - 5.45320i) q^{47} +(1.10970 + 1.32988i) q^{48} +(8.44474 - 6.13546i) q^{49} +(-4.30661 + 2.54030i) q^{50} +(-2.93660 + 11.6419i) q^{51} +(-1.61250 - 1.17155i) q^{52} +(7.31127 + 2.37558i) q^{53} +(-2.15246 + 4.72937i) q^{54} +(-2.41601 + 3.01215i) q^{55} -4.17592i q^{56} +(2.90095 - 4.61428i) q^{57} +(-2.56921 - 7.90723i) q^{58} +(6.67417 + 9.18620i) q^{59} +(3.17683 + 2.21535i) q^{60} +13.0269i q^{61} +(3.27721 + 4.50110i) q^{62} +(11.2898 - 5.42995i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.16821 - 1.57775i) q^{65} +(2.90016 + 0.731547i) q^{66} +7.86369i q^{67} -6.93201i q^{68} +(-2.26889 + 8.99483i) q^{69} +(-2.45881 - 9.00808i) q^{70} +(7.73546 + 2.51340i) q^{71} +(0.537145 - 2.95152i) q^{72} +(-1.99959 - 6.15410i) q^{73} +(1.47620 + 1.07252i) q^{74} +(8.15732 + 2.90830i) q^{75} +(-0.972416 + 2.99279i) q^{76} +(-4.23864 - 5.83399i) q^{77} +(0.231369 + 3.44448i) q^{78} +(-9.74641 - 3.16680i) q^{79} +(-2.09127 - 0.791586i) q^{80} +(8.67805 - 2.38566i) q^{81} +(-6.98378 + 2.26917i) q^{82} +(0.428315 - 0.589524i) q^{83} +(-5.55345 + 4.63400i) q^{84} +(-4.08162 - 14.9534i) q^{85} +(0.854571 + 2.63010i) q^{86} +(-7.66459 + 12.1914i) q^{87} -1.72686 q^{88} +(-4.02056 - 12.3740i) q^{89} +(-0.579177 - 6.68315i) q^{90} +(4.89228 - 6.73365i) q^{91} -5.35583i q^{92} +(2.34919 - 9.35314i) q^{93} +9.27755 q^{94} +(-0.335470 + 7.02847i) q^{95} +(0.116082 + 1.72816i) q^{96} +(-4.17102 + 1.35525i) q^{97} +10.4383 q^{98} +(-2.24543 - 4.66865i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 32 q^{2} - 32 q^{4} - 2 q^{5} + 32 q^{8} - 4 q^{9}+O(q^{10}) \) 128 * q + 32 * q^2 - 32 * q^4 - 2 * q^5 + 32 * q^8 - 4 * q^9	\( 128 q + 32 q^{2} - 32 q^{4} - 2 q^{5} + 32 q^{8} - 4 q^{9} + 2 q^{10} - 35 q^{15} - 32 q^{16} - 6 q^{18} - 8 q^{19} + 3 q^{20} + 20 q^{23} - 10 q^{25} - 48 q^{31} - 128 q^{32} + 8 q^{33} + 10 q^{34} - 16 q^{35} - 4 q^{36} - 12 q^{38} + 4 q^{39} - 3 q^{40} + 5 q^{45} + 10 q^{46} - 6 q^{47} + 46 q^{49} + 5 q^{50} + 34 q^{51} + 20 q^{53} + 35 q^{60} + 8 q^{62} - 36 q^{63} - 32 q^{64} - 8 q^{66} + 8 q^{69} + 16 q^{70} - 6 q^{72} + 5 q^{75} + 12 q^{76} - 50 q^{77} - 4 q^{78} - 10 q^{79} - 2 q^{80} - 24 q^{81} + 40 q^{83} - 30 q^{85} + 4 q^{87} - 5 q^{90} + 20 q^{91} + 26 q^{93} - 4 q^{94} + 26 q^{95} + 124 q^{98}+O(q^{100}) \) 128 * q + 32 * q^2 - 32 * q^4 - 2 * q^5 + 32 * q^8 - 4 * q^9 + 2 * q^10 - 35 * q^15 - 32 * q^16 - 6 * q^18 - 8 * q^19 + 3 * q^20 + 20 * q^23 - 10 * q^25 - 48 * q^31 - 128 * q^32 + 8 * q^33 + 10 * q^34 - 16 * q^35 - 4 * q^36 - 12 * q^38 + 4 * q^39 - 3 * q^40 + 5 * q^45 + 10 * q^46 - 6 * q^47 + 46 * q^49 + 5 * q^50 + 34 * q^51 + 20 * q^53 + 35 * q^60 + 8 * q^62 - 36 * q^63 - 32 * q^64 - 8 * q^66 + 8 * q^69 + 16 * q^70 - 6 * q^72 + 5 * q^75 + 12 * q^76 - 50 * q^77 - 4 * q^78 - 10 * q^79 - 2 * q^80 - 24 * q^81 + 40 * q^83 - 30 * q^85 + 4 * q^87 - 5 * q^90 + 20 * q^91 + 26 * q^93 - 4 * q^94 + 26 * q^95 + 124 * q^98

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