LMFDB - Embedded newform 920.2.bn.b.19.79

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [920,2,Mod(19,920)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(920, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 11, 15]))

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

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

chi := DirichletCharacter("920.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 920 = 2^{3} \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	920.bn (of order $22$, degree $10$, 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:	$7.34623698596$
Analytic rank:	$0$
Dimension:	$1360$
Relative dimension:	$136$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			19.79
Character	$\chi$	$=$	920.19
Dual form			920.2.bn.b.339.79

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.306785 - 1.38054i) q^{2} +(0.156820 + 0.534080i) q^{3} +(-1.81177 - 0.847057i) q^{4} +(1.75879 + 1.38082i) q^{5} +(0.785427 - 0.0526479i) q^{6} +(-2.85107 + 0.409922i) q^{7} +(-1.72522 + 2.24134i) q^{8} +(2.26311 - 1.45441i) q^{9} +O(q^{10})$	\(q+(0.306785 - 1.38054i) q^{2} +(0.156820 + 0.534080i) q^{3} +(-1.81177 - 0.847057i) q^{4} +(1.75879 + 1.38082i) q^{5} +(0.785427 - 0.0526479i) q^{6} +(-2.85107 + 0.409922i) q^{7} +(-1.72522 + 2.24134i) q^{8} +(2.26311 - 1.45441i) q^{9} +(2.44585 - 2.00446i) q^{10} +(1.05342 + 0.481081i) q^{11} +(0.168275 - 1.10046i) q^{12} +(-0.380794 + 2.64848i) q^{13} +(-0.308754 + 4.06176i) q^{14} +(-0.461656 + 1.15587i) q^{15} +(2.56499 + 3.06934i) q^{16} +(3.94213 + 4.54946i) q^{17} +(-1.31358 - 3.57050i) q^{18} +(-3.07958 - 2.66847i) q^{19} +(-2.01688 - 3.99152i) q^{20} +(-0.666035 - 1.45841i) q^{21} +(0.987324 - 1.30670i) q^{22} +(0.327374 + 4.78464i) q^{23} +(-1.46761 - 0.569916i) q^{24} +(1.18666 + 4.85714i) q^{25} +(3.53951 + 1.33822i) q^{26} +(2.39369 + 2.07414i) q^{27} +(5.51269 + 1.67234i) q^{28} +(-1.10699 + 0.959211i) q^{29} +(1.45410 + 0.991938i) q^{30} +(1.70824 - 5.81775i) q^{31} +(5.02424 - 2.59943i) q^{32} +(-0.0917383 + 0.638054i) q^{33} +(7.49009 - 4.04655i) q^{34} +(-5.58045 - 3.21585i) q^{35} +(-5.33220 + 0.718072i) q^{36} +(0.928514 + 1.44480i) q^{37} +(-4.62869 + 3.43282i) q^{38} +(-1.47422 + 0.211960i) q^{39} +(-6.12919 + 1.55983i) q^{40} +(9.25236 + 5.94613i) q^{41} +(-2.21772 + 0.472066i) q^{42} +(2.75801 - 0.809826i) q^{43} +(-1.50105 - 1.76391i) q^{44} +(5.98862 + 0.566949i) q^{45} +(6.70581 + 1.01591i) q^{46} +7.92370 q^{47} +(-1.23703 + 1.85124i) q^{48} +(1.24410 - 0.365302i) q^{49} +(7.06952 - 0.148134i) q^{50} +(-1.81157 + 2.81886i) q^{51} +(2.93333 - 4.47587i) q^{52} +(-4.60248 + 0.661736i) q^{53} +(3.59778 - 2.66826i) q^{54} +(1.18846 + 2.30071i) q^{55} +(3.99994 - 7.09743i) q^{56} +(0.942236 - 2.06321i) q^{57} +(0.984618 + 1.82251i) q^{58} +(-1.84857 + 12.8571i) q^{59} +(1.81550 - 1.70312i) q^{60} +(7.19405 + 2.11236i) q^{61} +(-7.50755 - 4.14309i) q^{62} +(-5.85609 + 5.07433i) q^{63} +(-2.04725 - 7.73361i) q^{64} +(-4.32682 + 4.13231i) q^{65} +(0.852713 + 0.322394i) q^{66} +(-3.49216 - 7.64677i) q^{67} +(-3.28856 - 11.5818i) q^{68} +(-2.50404 + 0.925172i) q^{69} +(-6.15160 + 6.71744i) q^{70} +(-3.54757 + 1.62012i) q^{71} +(-0.644516 + 7.58159i) q^{72} +(-9.67976 - 8.38756i) q^{73} +(2.27945 - 0.838606i) q^{74} +(-2.40801 + 1.39547i) q^{75} +(3.31913 + 7.44322i) q^{76} +(-3.20058 - 0.939775i) q^{77} +(-0.159649 + 2.10024i) q^{78} +(0.919182 - 6.39305i) q^{79} +(0.273061 + 8.94010i) q^{80} +(2.62023 - 5.73750i) q^{81} +(11.0473 - 10.9490i) q^{82} +(4.80933 - 3.09077i) q^{83} +(-0.0286601 + 3.20647i) q^{84} +(0.651374 + 13.4449i) q^{85} +(-0.271876 - 4.05598i) q^{86} +(-0.685893 - 0.440797i) q^{87} +(-2.89565 + 1.53111i) q^{88} +(-0.360917 - 1.22917i) q^{89} +(2.61991 - 8.09358i) q^{90} -7.70710i q^{91} +(3.45974 - 8.94596i) q^{92} +3.37503 q^{93} +(2.43088 - 10.9390i) q^{94} +(-1.73164 - 8.94562i) q^{95} +(2.17621 + 2.27570i) q^{96} +(-3.88160 - 2.49455i) q^{97} +(-0.122640 - 1.82960i) q^{98} +(3.08370 - 0.443369i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9}+O(q^{10}) $ 1360 * q - 14 * q^4 - 30 * q^6 + 108 * q^9	$ 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9} - 11 q^{10} - 44 q^{11} - 22 q^{14} + 2 q^{16} - 44 q^{19} - 11 q^{20} - 48 q^{24} - 38 q^{25} - 62 q^{26} - 11 q^{30} - 44 q^{34} + 142 q^{35} + 26 q^{36} - 11 q^{40} - 28 q^{41} + 110 q^{44} + 10 q^{46} + 28 q^{49} - 15 q^{50} - 44 q^{51} - 34 q^{54} - 22 q^{56} - 288 q^{59} - 11 q^{60} - 26 q^{64} - 22 q^{65} - 88 q^{66} - 14 q^{70} - 22 q^{74} - 30 q^{75} - 132 q^{76} + 88 q^{80} - 116 q^{81} - 22 q^{84} - 242 q^{86} - 44 q^{89} + 220 q^{90} - 126 q^{94} - 456 q^{96} - 44 q^{99}+O(q^{100}) $ 1360 * q - 14 * q^4 - 30 * q^6 + 108 * q^9 - 11 * q^10 - 44 * q^11 - 22 * q^14 + 2 * q^16 - 44 * q^19 - 11 * q^20 - 48 * q^24 - 38 * q^25 - 62 * q^26 - 11 * q^30 - 44 * q^34 + 142 * q^35 + 26 * q^36 - 11 * q^40 - 28 * q^41 + 110 * q^44 + 10 * q^46 + 28 * q^49 - 15 * q^50 - 44 * q^51 - 34 * q^54 - 22 * q^56 - 288 * q^59 - 11 * q^60 - 26 * q^64 - 22 * q^65 - 88 * q^66 - 14 * q^70 - 22 * q^74 - 30 * q^75 - 132 * q^76 + 88 * q^80 - 116 * q^81 - 22 * q^84 - 242 * q^86 - 44 * q^89 + 220 * q^90 - 126 * q^94 - 456 * q^96 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/920\mathbb{Z}\right)^\times$.

$n$	$231$	$281$	$461$	$737$
$\chi(n)$	$-1$	$e\left(\frac{15}{22}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	0.306785	−	1.38054i	0.216930	−	0.976187i
$2$	0.306785	−	1.38054i	0.216930	−	0.976187i
$3$	0.156820	+	0.534080i	0.0905400	+	0.308351i	0.992295	−	0.123896i	$-0.0395390\pi$
$3$	0.156820	+	0.534080i	0.0905400	+	0.308351i	−0.901755	+	0.432247i	$0.857721\pi$
$4$	−1.81177	−	0.847057i	−0.905883	−	0.423529i
$5$	1.75879	+	1.38082i	0.786554	+	0.617522i
$5$	1.75879	+	1.38082i	0.786554	+	0.617522i
$6$	0.785427	−	0.0526479i	0.320649	−	0.0214934i
$7$	−2.85107	+	0.409922i	−1.07760	+	0.154936i	−0.658184	−	0.752857i	$-0.728675\pi$
$7$	−2.85107	+	0.409922i	−1.07760	+	0.154936i	−0.419419	+	0.907793i	$0.637766\pi$
$8$	−1.72522	+	2.24134i	−0.609956	+	0.792435i
$9$	2.26311	−	1.45441i	0.754371	−	0.484805i
$10$	2.44585	−	2.00446i	0.773444	−	0.633864i
$11$	1.05342	+	0.481081i	0.317618	+	0.145051i	0.567844	−	0.823136i	$-0.307778\pi$
$11$	1.05342	+	0.481081i	0.317618	+	0.145051i	−0.250226	+	0.968187i	$0.580505\pi$
$12$	0.168275	−	1.10046i	0.0485768	−	0.317676i
$13$	−0.380794	+	2.64848i	−0.105613	+	0.734557i	0.866352	+	0.499434i	$0.166458\pi$
$13$	−0.380794	+	2.64848i	−0.105613	+	0.734557i	−0.971966	+	0.235123i	$0.924451\pi$
$14$	−0.308754	+	4.06176i	−0.0825179	+	1.08555i
$15$	−0.461656	+	1.15587i	−0.119199	+	0.298445i
$16$	2.56499	+	3.06934i	0.641247	+	0.767334i
$17$	3.94213	+	4.54946i	0.956107	+	1.10341i	0.994562	+	0.104146i	$0.0332108\pi$
$17$	3.94213	+	4.54946i	0.956107	+	1.10341i	−0.0384553	+	0.999260i	$0.512244\pi$
$18$	−1.31358	−	3.57050i	−0.309614	−	0.841576i
$19$	−3.07958	−	2.66847i	−0.706504	−	0.612189i	0.225669	−	0.974204i	$-0.427543\pi$
$19$	−3.07958	−	2.66847i	−0.706504	−	0.612189i	−0.932172	+	0.362015i	$0.882089\pi$
$20$	−2.01688	−	3.99152i	−0.450987	−	0.892531i
$21$	−0.666035	−	1.45841i	−0.145341	−	0.318252i
$22$	0.987324	−	1.30670i	0.210498	−	0.278589i
$23$	0.327374	+	4.78464i	0.0682622	+	0.997667i
$23$	0.327374	+	4.78464i	0.0682622	+	0.997667i
$24$	−1.46761	−	0.569916i	−0.299574	−	0.116334i
$25$	1.18666	+	4.85714i	0.237333	+	0.971428i
$26$	3.53951	+	1.33822i	0.694154	+	0.262446i
$27$	2.39369	+	2.07414i	0.460665	+	0.399169i
$28$	5.51269	+	1.67234i	1.04180	+	0.316042i
$29$	−1.10699	+	0.959211i	−0.205563	+	0.178121i	−0.751558	−	0.659667i	$-0.770697\pi$
$29$	−1.10699	+	0.959211i	−0.205563	+	0.178121i	0.545995	+	0.837788i	$0.316152\pi$
$30$	1.45410	+	0.991938i	0.265480	+	0.181102i
$31$	1.70824	−	5.81775i	0.306810	−	1.04490i	−0.651377	−	0.758754i	$-0.725808\pi$
$31$	1.70824	−	5.81775i	0.306810	−	1.04490i	0.958187	−	0.286144i	$-0.0923735\pi$
$32$	5.02424	−	2.59943i	0.888168	−	0.459519i
$33$	−0.0917383	+	0.638054i	−0.0159696	+	0.111071i
$34$	7.49009	−	4.04655i	1.28454	−	0.693977i
$35$	−5.58045	−	3.21585i	−0.943268	−	0.543578i
$36$	−5.33220	+	0.718072i	−0.888700	+	0.119679i
$37$	0.928514	+	1.44480i	0.152647	+	0.237523i	0.909152	−	0.416465i	$-0.136731\pi$
$37$	0.928514	+	1.44480i	0.152647	+	0.237523i	−0.756505	+	0.653988i	$0.773095\pi$
$38$	−4.62869	+	3.43282i	−0.750873	+	0.556878i
$39$	−1.47422	+	0.211960i	−0.236064	+	0.0339408i
$40$	−6.12919	+	1.55983i	−0.969109	+	0.246631i
$41$	9.25236	+	5.94613i	1.44498	+	0.928630i	0.999443	+	0.0333647i	$0.0106223\pi$
$41$	9.25236	+	5.94613i	1.44498	+	0.928630i	0.445533	+	0.895265i	$0.353014\pi$
$42$	−2.21772	+	0.472066i	−0.342202	+	0.0728414i
$43$	2.75801	−	0.809826i	0.420593	−	0.123497i	−0.0645859	−	0.997912i	$-0.520573\pi$
$43$	2.75801	−	0.809826i	0.420593	−	0.123497i	0.485179	+	0.874415i	$0.338754\pi$
$44$	−1.50105	−	1.76391i	−0.226292	−	0.265920i
$45$	5.98862	+	0.566949i	0.892730	+	0.0845158i
$46$	6.70581	+	1.01591i	0.988718	+	0.149787i
$47$	7.92370			1.15579			0.577895	−	0.816111i	$-0.303874\pi$
$47$	7.92370			1.15579			0.577895	+	0.816111i	$0.303874\pi$
$48$	−1.23703	+	1.85124i	−0.178550	+	0.267204i
$49$	1.24410	−	0.365302i	0.177729	−	0.0521859i
$50$	7.06952	−	0.148134i	0.999781	−	0.0209493i
$51$	−1.81157	+	2.81886i	−0.253670	+	0.394719i
$52$	2.93333	−	4.47587i	0.406779	−	0.620692i
$53$	−4.60248	+	0.661736i	−0.632199	+	0.0908965i	−0.450962	−	0.892543i	$-0.648919\pi$
$53$	−4.60248	+	0.661736i	−0.632199	+	0.0908965i	−0.181237	+	0.983439i	$0.558010\pi$
$54$	3.59778	−	2.66826i	0.489595	−	0.363104i
$55$	1.18846	+	2.30071i	0.160251	+	0.310227i
$56$	3.99994	−	7.09743i	0.534514	−	0.948434i
$57$	0.942236	−	2.06321i	0.124802	−	0.273279i
$58$	0.984618	+	1.82251i	0.129287	+	0.239307i
$59$	−1.84857	+	12.8571i	−0.240663	+	1.67385i	0.408159	+	0.912911i	$0.366171\pi$
$59$	−1.84857	+	12.8571i	−0.240663	+	1.67385i	−0.648822	+	0.760940i	$0.724738\pi$
$60$	1.81550	−	1.70312i	0.234380	−	0.219872i
$61$	7.19405	+	2.11236i	0.921104	+	0.270460i	0.707708	−	0.706505i	$-0.249729\pi$
$61$	7.19405	+	2.11236i	0.921104	+	0.270460i	0.213396	+	0.976966i	$0.431548\pi$
$62$	−7.50755	−	4.14309i	−0.953460	−	0.526173i
$63$	−5.85609	+	5.07433i	−0.737798	+	0.639306i
$64$	−2.04725	−	7.73361i	−0.255907	−	0.966702i
$65$	−4.32682	+	4.13231i	−0.536676	+	0.512550i
$66$	0.852713	+	0.322394i	0.104962	+	0.0396839i
$67$	−3.49216	−	7.64677i	−0.426636	−	0.934202i	−0.993861	−	0.110639i	$-0.964710\pi$
$67$	−3.49216	−	7.64677i	−0.426636	−	0.934202i	0.567225	−	0.823563i	$-0.308017\pi$
$68$	−3.28856	−	11.5818i	−0.398797	−	1.40449i
$69$	−2.50404	+	0.925172i	−0.301451	+	0.111378i
$70$	−6.15160	+	6.71744i	−0.735257	+	0.802888i
$71$	−3.54757	+	1.62012i	−0.421019	+	0.192273i	−0.614647	−	0.788802i	$-0.710702\pi$
$71$	−3.54757	+	1.62012i	−0.421019	+	0.192273i	0.193628	+	0.981075i	$0.437974\pi$
$72$	−0.644516	+	7.58159i	−0.0759570	+	0.893499i
$73$	−9.67976	−	8.38756i	−1.13293	−	0.981690i	−0.132975	−	0.991119i	$-0.542453\pi$
$73$	−9.67976	−	8.38756i	−1.13293	−	0.981690i	−0.999956	+	0.00942986i	$0.996998\pi$
$74$	2.27945	−	0.838606i	0.264980	−	0.0974859i
$75$	−2.40801	+	1.39547i	−0.278053	+	0.161135i
$76$	3.31913	+	7.44322i	0.380730	+	0.853796i
$77$	−3.20058	−	0.939775i	−0.364740	−	0.107097i
$78$	−0.159649	+	2.10024i	−0.0180767	+	0.237805i
$79$	0.919182	−	6.39305i	0.103416	−	0.719275i	−0.870467	−	0.492226i	$-0.836183\pi$
$79$	0.919182	−	6.39305i	0.103416	−	0.719275i	0.973883	−	0.227048i	$-0.0729076\pi$
$80$	0.273061	+	8.94010i	0.0305292	+	0.999534i
$81$	2.62023	−	5.73750i	0.291136	−	0.637500i
$82$	11.0473	−	10.9490i	1.21998	−	1.20912i
$83$	4.80933	−	3.09077i	0.527892	−	0.339256i	−0.249395	−	0.968402i	$-0.580232\pi$
$83$	4.80933	−	3.09077i	0.527892	−	0.339256i	0.777287	+	0.629146i	$0.216595\pi$
$84$	−0.0286601	+	3.20647i	−0.00312707	+	0.349855i
$85$	0.651374	+	13.4449i	0.0706515	+	1.45830i
$86$	−0.271876	−	4.05598i	−0.0293172	−	0.437368i
$87$	−0.685893	−	0.440797i	−0.0735354	−	0.0472583i
$88$	−2.89565	+	1.53111i	−0.308677	+	0.163217i
$89$	−0.360917	−	1.22917i	−0.0382571	−	0.130292i	0.938150	−	0.346228i	$-0.112538\pi$
$89$	−0.360917	−	1.22917i	−0.0382571	−	0.130292i	−0.976407	+	0.215937i	$0.930720\pi$
$90$	2.61991	−	8.09358i	0.276163	−	0.853138i
$91$		−	7.70710i		−	0.807924i
$92$	3.45974	−	8.94596i	0.360703	−	0.932681i
$93$	3.37503			0.349974
$94$	2.43088	−	10.9390i	0.250726	−	1.12827i
$95$	−1.73164	−	8.94562i	−0.177663	−	0.917801i
$96$	2.17621	+	2.27570i	0.222108	+	0.232263i
$97$	−3.88160	−	2.49455i	−0.394117	−	0.253284i	0.328540	−	0.944490i	$-0.393443\pi$
$97$	−3.88160	−	2.49455i	−0.394117	−	0.253284i	−0.722658	+	0.691206i	$0.757080\pi$
$98$	−0.122640	−	1.82960i	−0.0123885	−	0.184817i
$99$	3.08370	−	0.443369i	0.309924	−	0.0445603i
$100$	1.96432	−	9.80517i	0.196432	−	0.980517i
$101$	6.57899	+	10.2371i	0.654633	+	1.01863i	0.996873	+	0.0790169i	$0.0251781\pi$
$101$	6.57899	+	10.2371i	0.654633	+	1.01863i	−0.342240	+	0.939613i	$0.611186\pi$
$102$	3.33577	+	3.36572i	0.330291	+	0.333256i
$103$	9.66566	+	4.41416i	0.952386	+	0.434940i	0.830137	−	0.557560i	$-0.188262\pi$
$103$	9.66566	+	4.41416i	0.952386	+	0.434940i	0.122249	+	0.992499i	$0.460989\pi$
$104$	−5.27921	−	5.42270i	−0.517669	−	0.531739i
$105$	0.842395	−	3.48472i	0.0822093	−	0.340073i
$106$	−0.498421	+	6.55690i	−0.0484109	+	0.636863i
$107$	−6.02696	−	1.76968i	−0.582648	−	0.171081i	−0.0228916	−	0.999738i	$-0.507287\pi$
$107$	−6.02696	−	1.76968i	−0.582648	−	0.171081i	−0.559757	+	0.828657i	$0.689105\pi$
$108$	−2.57988	−	5.78545i	−0.248249	−	0.556705i
$109$	−3.95692	−	4.56653i	−0.379004	−	0.437394i	0.533913	−	0.845540i	$-0.320721\pi$
$109$	−3.95692	−	4.56653i	−0.379004	−	0.437394i	−0.912917	+	0.408145i	$0.866176\pi$
$110$	3.54081	−	0.934885i	0.337603	−	0.0891377i
$111$	−0.626027	+	0.722473i	−0.0594198	+	0.0685741i
$112$	−8.57115	−	7.69945i	−0.809897	−	0.727529i
$113$	−7.63452	−	16.7173i	−0.718195	−	1.57263i	−0.816417	−	0.577463i	$-0.804043\pi$
$113$	−7.63452	−	16.7173i	−0.718195	−	1.57263i	0.0982223	−	0.995164i	$-0.468684\pi$
$114$	−2.55927	−	1.93375i	−0.239698	−	0.181113i
$115$	−6.03096	+	8.86722i	−0.562390	+	0.826872i
$116$	2.81811	−	0.800183i	0.261655	−	0.0742951i
$117$	2.99021	+	6.54764i	0.276445	+	0.605330i
$118$	17.1826	+	6.49639i	1.58178	+	0.598041i
$119$	−13.1042	−	11.3549i	−1.20126	−	1.04090i
$120$	−1.79425	−	3.02886i	−0.163792	−	0.276496i
$121$	−6.32521	−	7.29968i	−0.575019	−	0.663608i
$122$	5.12323	−	9.28361i	0.463835	−	0.840499i
$123$	−1.72475	+	5.87397i	−0.155516	+	0.529638i
$124$	−8.02290	+	9.09341i	−0.720478	+	0.816612i
$125$	−4.61976	+	10.1813i	−0.413204	+	0.910639i
$126$	5.20874	+	9.64128i	0.464031	+	0.858914i
$127$	−2.45472	+	5.37508i	−0.217821	+	0.476962i	−0.986724	−	0.162403i	$-0.948075\pi$
$127$	−2.45472	+	5.37508i	−0.217821	+	0.476962i	0.768903	+	0.639365i	$0.220803\pi$
$128$	−11.3046	+	0.453750i	−0.999195	+	0.0401062i
$129$	0.865023	+	1.34600i	0.0761610	+	0.118509i
$130$	4.37740	+	7.24106i	0.383923	+	0.635083i
$131$	1.52102	+	10.5789i	0.132892	+	0.924287i	0.941758	+	0.336293i	$0.109173\pi$
$131$	1.52102	+	10.5789i	0.132892	+	0.924287i	−0.808865	+	0.587994i	$0.799918\pi$
$132$	0.706676	−	1.07830i	0.0615083	−	0.0938536i
$133$	9.87395	+	6.34560i	0.856180	+	0.550233i
$134$	−11.6280	+	2.47514i	−1.00451	+	0.213820i
$135$	1.34597	+	6.95322i	0.115842	+	0.598438i
$136$	−16.9979	+	0.986866i	−1.45756	+	0.0846231i
$137$	8.23895			0.703901			0.351951	−	0.936019i	$-0.385518\pi$
$137$	8.23895			0.703901			0.351951	+	0.936019i	$0.385518\pi$
$138$	0.509030	+	3.74075i	0.0433315	+	0.318434i
$139$	−20.7785			−1.76241			−0.881204	−	0.472736i	$-0.843266\pi$
$139$	−20.7785			−1.76241			−0.881204	+	0.472736i	$0.843266\pi$
$140$	7.38646	+	10.5533i	0.624270	+	0.891919i
$141$	1.24259	+	4.23189i	0.104645	+	0.356389i
$142$	1.14829	+	5.39458i	0.0963627	+	0.452703i
$143$	−1.67527	+	2.60677i	−0.140093	+	0.217989i
$144$	10.2689	+	3.21570i	0.855745	+	0.267975i
$145$	−3.27146	+	0.158494i	−0.271680	+	0.0131622i
$146$	−14.5489	+	10.7901i	−1.20408	+	0.892994i
$147$	0.390200	+	0.607164i	0.0321832	+	0.0500780i
$148$	−0.458425	−	3.40413i	−0.0376823	−	0.279818i
$149$	−3.75157	+	8.21480i	−0.307341	+	0.672983i	−0.998776	−	0.0494556i	$-0.984251\pi$
$149$	−3.75157	+	8.21480i	−0.307341	+	0.672983i	0.691435	+	0.722438i	$0.256979\pi$
$150$	1.18776	+	3.75245i	0.0969799	+	0.306387i
$151$	10.6418	+	1.53006i	0.866015	+	0.124514i	0.560983	−	0.827828i	$-0.310423\pi$
$151$	10.6418	+	1.53006i	0.866015	+	0.124514i	0.305033	+	0.952342i	$0.401333\pi$
$152$	11.2939	−	2.29871i	0.916056	−	0.186450i
$153$	15.5383	+	4.56245i	1.25620	+	0.368852i
$154$	−2.27929	+	4.13021i	−0.183670	+	0.332822i
$155$	11.0377	−	7.87340i	0.886570	−	0.632406i
$156$	2.85048	+	0.864723i	0.228221	+	0.0692333i
$157$	−14.3683	−	12.4502i	−1.14672	−	0.993638i	−0.999990	−	0.00446094i	$-0.998580\pi$
$157$	−14.3683	−	12.4502i	−1.14672	−	0.993638i	−0.146729	−	0.989177i	$-0.546875\pi$
$158$	−8.54385	−	3.23026i	−0.679713	−	0.256986i
$159$	−1.07518	−	2.35432i	−0.0852674	−	0.186709i
$160$	12.4259	+	2.36572i	0.982355	+	0.187027i
$161$	−2.89470	−	13.5072i	−0.228134	−	1.06451i
$162$	−7.11698	−	5.37750i	−0.559163	−	0.422496i
$163$	5.77867	−	2.63903i	0.452621	−	0.206705i	−0.176043	−	0.984383i	$-0.556330\pi$
$163$	5.77867	−	2.63903i	0.452621	−	0.206705i	0.628663	+	0.777678i	$0.283602\pi$
$164$	−11.7264	−	18.6103i	−0.915678	−	1.45322i
$165$	−1.04239	+	0.995527i	−0.0811497	+	0.0775016i
$166$	−2.79149	−	7.58765i	−0.216661	−	0.588916i
$167$	−10.0827	−	11.6361i	−0.780226	−	0.900429i	0.216900	−	0.976194i	$-0.430405\pi$
$167$	−10.0827	−	11.6361i	−0.780226	−	0.900429i	−0.997126	+	0.0757653i	$0.975860\pi$
$168$	4.41786	+	1.02327i	0.340846	+	0.0789466i
$169$	5.60395	+	1.64547i	0.431073	+	0.126575i
$170$	18.7610	+	3.22545i	1.43890	+	0.247381i
$171$	−10.8505	−	1.56006i	−0.829758	−	0.119301i
$172$	−5.68284	−	0.868980i	−0.433313	−	0.0662591i
$173$	2.21954	−	4.86011i	0.168748	−	0.369507i	−0.806298	−	0.591510i	$-0.798532\pi$
$173$	2.21954	−	4.86011i	0.168748	−	0.369507i	0.975046	+	0.222003i	$0.0712594\pi$
$174$	−0.818958	+	0.811671i	−0.0620850	+	0.0615326i
$175$	−5.37431	−	13.3616i	−0.406260	−	1.01004i
$176$	1.22541	+	4.46727i	0.0923689	+	0.336733i
$177$	−7.15661	+	1.02896i	−0.537923	+	0.0773417i
$178$	−1.80764	+	0.121168i	−0.135488	+	0.00908191i
$179$	0.0443830	+	0.0285232i	0.00331734	+	0.00213193i	0.542298	−	0.840186i	$-0.317554\pi$
$179$	0.0443830	+	0.0285232i	0.00331734	+	0.00213193i	−0.538981	+	0.842318i	$0.681191\pi$
$180$	−10.3697	−	6.09988i	−0.772914	−	0.454658i
$181$	−13.3753	+	3.92734i	−0.994178	+	0.291917i	−0.738065	−	0.674730i	$-0.764260\pi$
$181$	−13.3753	+	3.92734i	−0.994178	+	0.291917i	−0.256113	+	0.966647i	$0.582442\pi$
$182$	−10.6399	−	2.36443i	−0.788685	−	0.175263i
$183$			4.17346i			0.308511i
$184$	−11.2888	−	7.52079i	−0.832224	−	0.554440i
$185$	−0.361947	+	3.82320i	−0.0266109	+	0.281087i
$186$	1.03541	−	4.65935i	0.0759199	−	0.341640i
$187$	1.96406	+	6.68898i	0.143626	+	0.489147i
$188$	−14.3559	−	6.71183i	−1.04701	−	0.489510i
$189$	−7.67480	−	4.93229i	−0.558259	−	0.358771i
$190$	−12.8810	−	0.353788i	−0.934486	−	0.0256665i
$191$	−1.42461	−	9.90840i	−0.103081	−	0.716947i	−0.974169	−	0.225819i	$-0.927494\pi$
$191$	−1.42461	−	9.90840i	−0.103081	−	0.716947i	0.871088	−	0.491127i	$-0.163415\pi$
$192$	3.80932	−	2.30618i	0.274914	−	0.166434i
$193$	2.43100	+	3.78272i	0.174987	+	0.272286i	0.917658	−	0.397371i	$-0.130077\pi$
$193$	2.43100	+	3.78272i	0.174987	+	0.272286i	−0.742670	+	0.669657i	$0.766441\pi$
$194$	−4.63464	+	4.59340i	−0.332748	+	0.329787i
$195$	−2.88551	−	1.66284i	−0.206636	−	0.119078i
$196$	−2.56345	−	0.391986i	−0.183104	−	0.0279990i
$197$	0.0562613	−	0.391306i	0.00400845	−	0.0278794i	−0.987719	−	0.156240i	$-0.950063\pi$
$197$	0.0562613	−	0.391306i	0.00400845	−	0.0278794i	0.991728	+	0.128361i	$0.0409716\pi$
$198$	0.333946	−	4.39318i	0.0237325	−	0.312210i
$199$	8.05990	+	2.36660i	0.571351	+	0.167764i	0.554631	−	0.832096i	$-0.312859\pi$
$199$	8.05990	+	2.36660i	0.571351	+	0.167764i	0.0167202	+	0.999860i	$0.494678\pi$
$200$	−12.9338	−	5.71990i	−0.914557	−	0.404458i
$201$	3.53635	−	3.06426i	0.249435	−	0.216136i
$202$	16.1510	−	5.94194i	1.13638	−	0.418073i
$203$	2.76290	−	3.18855i	0.193917	−	0.223793i
$204$	5.66987	−	3.57261i	0.396970	−	0.250132i
$205$	8.06239	+	23.2338i	0.563102	+	1.62272i
$206$	9.05919	−	11.9896i	0.631184	−	0.835355i
$207$	7.69974	+	10.3520i	0.535169	+	0.719517i
$208$	−9.10582	+	5.62454i	−0.631375	+	0.389992i
$209$	−1.96034	−	4.29255i	−0.135600	−	0.296922i
$210$	−4.55234	−	2.23202i	−0.314142	−	0.154024i
$211$	−9.60986	+	11.0904i	−0.661570	+	0.763493i	−0.983033	−	0.183430i	$-0.941280\pi$
$211$	−9.60986	+	11.0904i	−0.661570	+	0.763493i	0.321463	+	0.946922i	$0.395826\pi$
$212$	8.89914	+	2.69965i	0.611195	+	0.185413i
$213$	−1.42160	−	1.64062i	−0.0974067	−	0.112413i
$214$	−4.29209	+	7.77753i	−0.293401	+	0.531661i
$215$	5.96898	+	2.38401i	0.407081	+	0.162588i
$216$	−8.77849	+	1.78673i	−0.597301	+	0.121572i
$217$	−2.48550	+	17.2870i	−0.168727	+	1.17352i
$218$	−7.51819	+	4.06173i	−0.509196	+	0.275095i
$219$	2.96165	−	6.48510i	0.200129	−	0.438222i
$220$	−0.204374	−	5.17503i	−0.0137789	−	0.348900i
$221$	−13.5503	+	8.70825i	−0.911492	+	0.585780i
$222$	0.805345	+	1.08590i	0.0540512	+	0.0728806i
$223$	0.919930	+	6.39825i	0.0616030	+	0.428459i	0.997162	+	0.0752876i	$0.0239875\pi$
$223$	0.919930	+	6.39825i	0.0616030	+	0.428459i	−0.935559	+	0.353171i	$0.885103\pi$
$224$	−13.2589	+	9.47071i	−0.885896	+	0.632788i
$225$	9.74985	+	9.26636i	0.649990	+	0.617757i
$226$	−25.4209	+	5.41112i	−1.69098	+	0.359942i
$227$	−4.49822	+	1.32080i	−0.298557	+	0.0876644i	−0.427581	−	0.903977i	$-0.640634\pi$
$227$	−4.49822	+	1.32080i	−0.298557	+	0.0876644i	0.129023	+	0.991642i	$0.458816\pi$
$228$	−3.45477	+	2.93992i	−0.228798	+	0.194701i
$229$	19.9285			1.31691			0.658456	−	0.752620i	$-0.271210\pi$
$229$	19.9285			1.31691			0.658456	+	0.752620i	$0.271210\pi$
$230$	10.3913	+	11.0463i	0.685183	+	0.728371i
$231$		−	1.85674i		−	0.122165i
$232$	−0.240127	−	4.13599i	−0.0157651	−	0.271541i
$233$	3.75715	+	12.7957i	0.246139	+	0.838273i	0.986175	+	0.165706i	$0.0529903\pi$
$233$	3.75715	+	12.7957i	0.246139	+	0.838273i	−0.740036	+	0.672567i	$0.765192\pi$
$234$	9.95662	−	2.11937i	0.650885	−	0.138548i
$235$	13.9361	+	10.9412i	0.909091	+	0.713726i
$236$	14.2399	−	21.7282i	0.926937	−	1.41438i
$237$	3.55855	−	0.511642i	0.231152	−	0.0332347i
$238$	−19.6960	+	14.6073i	−1.27670	+	0.946853i
$239$	−13.0296	−	20.2744i	−0.842813	−	1.31144i	−0.948414	−	0.317034i	$-0.897313\pi$
$239$	−13.0296	−	20.2744i	−0.842813	−	1.31144i	0.105601	−	0.994409i	$-0.466323\pi$
$240$	−4.73191	+	1.54782i	−0.305443	+	0.0999115i
$241$	−13.0370	−	5.95379i	−0.839786	−	0.383517i	−0.0513848	−	0.998679i	$-0.516363\pi$
$241$	−13.0370	−	5.95379i	−0.839786	−	0.383517i	−0.788401	+	0.615162i	$0.789091\pi$
$242$	−12.0180	+	6.49275i	−0.772544	+	0.417370i
$243$	12.8804	+	1.85192i	0.826276	+	0.118801i
$244$	−11.2446	−	9.92088i	−0.719864	−	0.635119i
$245$	2.69253	+	1.07540i	0.172019	+	0.0687046i
$246$	7.58011	+	4.18314i	0.483290	+	0.266707i
$247$	8.24008	−	7.14007i	0.524304	−	0.454312i
$248$	10.0925	+	13.8656i	0.640873	+	0.880469i
$249$	2.40491	+	2.08387i	0.152405	+	0.132060i
$250$	12.6383	+	9.50120i	0.799318	+	0.600909i
$251$	−8.63550	+	3.94370i	−0.545068	+	0.248924i	−0.668866	−	0.743383i	$-0.733220\pi$
$251$	−8.63550	+	3.94370i	−0.545068	+	0.248924i	0.123798	+	0.992307i	$0.460493\pi$
$252$	14.9081	−	4.23306i	0.939123	−	0.266657i
$253$	−1.95694	+	5.19774i	−0.123032	+	0.326779i
$254$	6.66743	+	5.03783i	0.418352	+	0.316101i
$255$	−7.07850	+	2.45632i	−0.443273	+	0.153820i
$256$	−2.84167	+	15.7456i	−0.177604	+	0.984102i
$257$	−0.111471	−	0.0965906i	−0.00695340	−	0.00602515i	0.651377	−	0.758754i	$-0.274192\pi$
$257$	−0.111471	−	0.0965906i	−0.00695340	−	0.00602515i	−0.658331	+	0.752729i	$0.728737\pi$
$258$	2.12358	−	0.781263i	0.132208	−	0.0486393i
$259$	−3.23951	−	3.73859i	−0.201293	−	0.232305i
$260$	11.3395	−	3.82171i	0.703245	−	0.237012i
$261$	−1.11015	+	3.78082i	−0.0687165	+	0.234027i
$262$	15.0713	+	1.14564i	0.931105	+	0.0707777i
$263$	−22.5946	−	3.24861i	−1.39324	−	0.200318i	−0.595519	−	0.803341i	$-0.703054\pi$
$263$	−22.5946	−	3.24861i	−1.39324	−	0.200318i	−0.797724	+	0.603023i	$0.793963\pi$
$264$	−1.27183	−	1.30640i	−0.0782757	−	0.0804033i
$265$	−9.00852	−	5.19135i	−0.553389	−	0.318902i
$266$	11.7895	−	11.6846i	0.722862	−	0.716430i
$267$	0.599876	−	0.385517i	0.0367118	−	0.0235932i
$268$	−0.150271	+	16.8122i	−0.00917926	+	1.02697i
$269$	29.4445	−	4.23349i	1.79527	−	0.258120i	0.837658	−	0.546195i	$-0.183924\pi$
$269$	29.4445	−	4.23349i	1.79527	−	0.258120i	0.957608	+	0.288075i	$0.0930152\pi$
$270$	10.0121	+	0.274991i	0.609317	+	0.0167354i
$271$	4.88591	−	7.60263i	0.296798	−	0.461827i	−0.660543	−	0.750789i	$-0.729674\pi$
$271$	4.88591	−	7.60263i	0.296798	−	0.461827i	0.957341	+	0.288962i	$0.0933101\pi$
$272$	−3.85231	+	23.7690i	−0.233581	+	1.44121i
$273$	4.11621	−	1.20863i	0.249124	−	0.0731494i
$274$	2.52759	−	11.3742i	0.152697	−	0.687140i
$275$	−1.08662	+	5.68750i	−0.0655258	+	0.342969i
$276$	5.32041	+	0.444874i	0.320251	+	0.0267782i
$277$	20.6094			1.23830			0.619150	−	0.785273i	$-0.287477\pi$
$277$	20.6094			1.23830			0.619150	+	0.785273i	$0.287477\pi$
$278$	−6.37454	+	28.6855i	−0.382319	+	1.72044i
$279$	−4.59546	−	15.6507i	−0.275123	−	0.936983i
$280$	16.8353	−	6.95967i	1.00610	−	0.415920i
$281$	11.6329	−	18.1012i	0.693962	−	1.07983i	−0.298156	−	0.954517i	$-0.596372\pi$
$281$	11.6329	−	18.1012i	0.693962	−	1.07983i	0.992118	−	0.125308i	$-0.0399920\pi$
$282$	6.22349	−	0.417167i	0.370603	−	0.0248419i
$283$	−3.51928	−	24.4772i	−0.209200	−	1.45502i	−0.775777	−	0.631007i	$-0.782642\pi$
$283$	−3.51928	−	24.4772i	−0.209200	−	1.45502i	0.566577	−	0.824009i	$-0.308267\pi$
$284$	7.79970	+	0.0697152i	0.462827	+	0.00413684i
$285$	4.50612	−	2.32769i	0.266919	−	0.137880i
$286$	3.08480	+	3.11249i	0.182408	+	0.184046i
$287$	−28.8166	−	13.1601i	−1.70099	−	0.776815i
$288$	7.58976	−	13.1901i	0.447231	−	0.777236i
$289$	−2.73785	+	19.0421i	−0.161050	+	1.12013i
$290$	−0.784827	+	4.56499i	−0.0460866	+	0.268065i
$291$	0.723578	−	2.46428i	0.0424169	−	0.144459i
$292$	10.4327	+	23.3956i	0.610528	+	1.36912i
$293$	18.9543	−	16.4240i	1.10732	−	0.959502i	0.107925	−	0.994159i	$-0.465579\pi$
$293$	18.9543	−	16.4240i	1.10732	−	0.959502i	0.999399	+	0.0346573i	$0.0110340\pi$
$294$	0.957920	−	0.352417i	0.0558670	−	0.0205534i
$295$	−21.0046	+	20.0603i	−1.22293	+	1.16796i
$296$	−4.84017	−	0.411466i	−0.281329	−	0.0239160i
$297$	1.52373	+	3.33650i	0.0884157	+	0.193603i
$298$	10.1899	+	7.69937i	0.590286	+	0.446012i
$299$	−12.7967	−	0.954921i	−0.740053	−	0.0552245i
$300$	5.54479	−	0.488544i	0.320129	−	0.0282061i
$301$	−7.53132	+	3.43944i	−0.434098	+	0.198246i
$302$	5.37704	−	14.2220i	0.309414	−	0.818382i
$303$	−4.43571	+	5.11908i	−0.254825	+	0.294084i
$304$	0.291352	−	16.2969i	0.0167102	−	0.934689i
$305$	9.73600	+	13.6489i	0.557482	+	0.781534i
$306$	11.0655	−	20.0515i	0.632575	−	1.14627i
$307$	−9.32094	+	31.7442i	−0.531974	+	1.81174i	0.0502847	+	0.998735i	$0.483987\pi$
$307$	−9.32094	+	31.7442i	−0.531974	+	1.81174i	−0.582259	+	0.813003i	$0.697831\pi$
$308$	5.00266	+	4.41373i	0.285053	+	0.251495i
$309$	−0.841744	+	5.85446i	−0.0478852	+	0.333049i
$310$	−7.48331	−	17.6534i	−0.425023	−	1.00265i
$311$	30.3446	+	13.8579i	1.72068	+	0.785809i	0.995232	+	0.0975342i	$0.0310955\pi$
$311$	30.3446	+	13.8579i	1.72068	+	0.785809i	0.725450	+	0.688275i	$0.241632\pi$
$312$	2.06827	−	3.66991i	0.117093	−	0.207768i
$313$	18.1098	−	11.6385i	1.02363	−	0.657847i	0.0827435	−	0.996571i	$-0.473632\pi$
$313$	18.1098	−	11.6385i	1.02363	−	0.657847i	0.940886	+	0.338724i	$0.109995\pi$
$314$	−21.5960	+	16.0165i	−1.21873	+	0.903863i
$315$	−17.3064	+	0.838453i	−0.975103	+	0.0472415i
$316$	−7.08062	+	10.8041i	−0.398316	+	0.607779i
$317$	5.69391	+	3.65925i	0.319802	+	0.205524i	0.690686	−	0.723155i	$-0.257309\pi$
$317$	5.69391	+	3.65925i	0.319802	+	0.205524i	−0.370884	+	0.928679i	$0.620945\pi$
$318$	−3.58007	+	0.762057i	−0.200760	+	0.0427340i
$319$	−1.62758	+	0.477901i	−0.0911271	+	0.0267573i
$320$	7.07806	−	16.4287i	0.395675	−	0.918390i
$321$		−	3.49640i		−	0.195150i
$322$	−19.5352	−	0.147562i	−1.08865	−	0.00822331i
$323$		−	24.5299i		−	1.36488i
$324$	−9.60723	+	8.17552i	−0.533735	+	0.454196i
$325$	−13.3159	+	1.29329i	−0.738635	+	0.0717387i
$326$	−1.87047	−	8.78729i	−0.103596	−	0.486683i
$327$	1.81837	−	2.82943i	0.100556	−	0.156468i
$328$	−29.2897	+	10.4794i	−1.61725	+	0.578626i
$329$	−22.5910	+	3.24810i	−1.24548	+	0.179073i
$330$	1.05457	+	1.74447i	0.0580523	+	0.0960297i
$331$	−19.6821	+	12.6489i	−1.08182	+	0.695246i	−0.954978	−	0.296676i	$-0.904122\pi$
$331$	−19.6821	+	12.6489i	−1.08182	+	0.695246i	−0.126846	+	0.991922i	$0.540485\pi$
$332$	−11.3314	+	1.52597i	−0.621893	+	0.0837485i
$333$	4.20266	+	1.91929i	0.230304	+	0.105176i
$334$	−19.1573	+	10.3498i	−1.04824	+	0.566316i
$335$	4.41686	−	18.2711i	0.241319	−	0.998257i
$336$	2.76799	−	5.78510i	0.151006	−	0.315603i
$337$	−4.36112	−	1.28054i	−0.237565	−	0.0697554i	0.160783	−	0.986990i	$-0.448598\pi$
$337$	−4.36112	−	1.28054i	−0.237565	−	0.0697554i	−0.398348	+	0.917234i	$0.630416\pi$
$338$	3.99084	−	7.23166i	0.217073	−	0.393351i
$339$	7.73110	−	6.69904i	0.419896	−	0.363842i
$340$	10.2085	−	24.9108i	0.553632	−	1.35098i
$341$	4.59831	−	5.30673i	0.249012	−	0.287376i
$342$	−5.48250	+	14.5009i	−0.296460	+	0.784119i
$343$	14.9434	−	6.82441i	0.806866	−	0.368483i
$344$	−2.94307	+	7.57878i	−0.158680	+	0.408621i
$345$	−5.68158	−	1.83046i	−0.305886	−	0.0985485i
$346$	−6.02864	−	4.55516i	−0.324101	−	0.244887i
$347$	−0.924235	+	0.422084i	−0.0496156	+	0.0226587i	−0.440068	−	0.897964i	$-0.645046\pi$
$347$	−0.924235	+	0.422084i	−0.0496156	+	0.0226587i	0.390453	+	0.920623i	$0.372318\pi$
$348$	0.869297	+	1.37961i	0.0465992	+	0.0739549i
$349$	−18.9907	−	16.4556i	−1.01655	−	0.880847i	−0.0236419	−	0.999720i	$-0.507526\pi$
$349$	−18.9907	−	16.4556i	−1.01655	−	0.880847i	−0.992909	+	0.118874i	$0.962072\pi$
$350$	−20.0949	+	3.32029i	−1.07412	+	0.177477i
$351$	−6.40483	+	5.54981i	−0.341864	+	0.296227i
$352$	6.54317	−	0.321233i	0.348752	−	0.0171218i
$353$	9.12064	−	31.0621i	0.485443	−	1.65327i	−0.244417	−	0.969670i	$-0.578597\pi$
$353$	9.12064	−	31.0621i	0.485443	−	1.65327i	0.729860	−	0.683597i	$-0.239585\pi$
$354$	−0.775018	+	10.1956i	−0.0411917	+	0.541892i
$355$	−8.47652	−	2.04911i	−0.449887	−	0.108756i
$356$	−0.387281	+	2.53269i	−0.0205258	+	0.134232i
$357$	4.00940	−	8.77936i	0.212200	−	0.464653i
$358$	0.0529935	−	0.0525219i	0.00280079	−	0.00277587i
$359$	0.101478	−	0.0652156i	0.00535578	−	0.00344195i	−0.537960	−	0.842970i	$-0.680805\pi$
$359$	0.101478	−	0.0652156i	0.00535578	−	0.00344195i	0.543316	+	0.839528i	$0.317169\pi$
$360$	−11.6024	+	12.4444i	−0.611500	+	0.655880i
$361$	−0.340911	−	2.37109i	−0.0179427	−	0.124794i
$362$	1.31850	+	19.6699i	0.0692986	+	1.03383i
$363$	2.90669	−	4.52290i	0.152562	−	0.237391i
$364$	−6.52835	+	13.9635i	−0.342179	+	0.731884i
$365$	−5.44291	−	28.1180i	−0.284895	−	1.47176i
$366$	5.76161	+	1.28036i	0.301164	+	0.0669252i
$367$			12.9219i			0.674517i	0.941412	+	0.337258i	$0.109500\pi$
$367$			12.9219i			0.674517i	−0.941412	+	0.337258i	$0.890500\pi$
$368$	−13.8460	+	13.2774i	−0.721772	+	0.692131i
$369$	29.5873			1.54025
$370$	5.16703	+	1.67258i	0.268621	+	0.0869534i
$371$	12.8507	−	3.77331i	0.667176	−	0.195901i
$372$	−6.11476	−	2.85884i	−0.317035	−	0.148224i
$373$	−9.22514	+	14.3546i	−0.477660	+	0.743253i	−0.993549	−	0.113402i	$-0.963825\pi$
$373$	−9.22514	+	14.3546i	−0.477660	+	0.743253i	0.515889	+	0.856655i	$0.327462\pi$
$374$	9.83693	−	0.659379i	0.508656	−	0.0340957i
$375$	−6.16207	−	0.870695i	−0.318208	−	0.0449625i
$376$	−13.6701	+	17.7597i	−0.704982	+	0.915889i
$377$	−2.11892	−	3.29710i	−0.109130	−	0.169809i
$378$	−9.16373	+	9.08219i	−0.471331	+	0.467137i
$379$	12.4323	+	5.67764i	0.638605	+	0.291641i	0.708283	−	0.705929i	$-0.249470\pi$
$379$	12.4323	+	5.67764i	0.638605	+	0.291641i	−0.0696785	+	0.997570i	$0.522197\pi$
$380$	−4.44012	+	17.6742i	−0.227773	+	0.906665i
$381$	−3.25567	−	0.468095i	−0.166793	−	0.0239812i
$382$	−14.1160	−	1.07302i	−0.722236	−	0.0549005i
$383$	6.71132	−	22.8567i	0.342933	−	1.16792i	−0.589859	−	0.807506i	$-0.700817\pi$
$383$	6.71132	−	22.8567i	0.342933	−	1.16792i	0.932792	−	0.360415i	$-0.117365\pi$
$384$	−2.01513	−	5.96640i	−0.102834	−	0.304472i
$385$	−4.33148	−	6.07229i	−0.220753	−	0.309473i
$386$	5.96798	−	2.19561i	0.303762	−	0.111754i
$387$	5.06387	−	5.84402i	0.257411	−	0.297068i
$388$	4.91952	+	7.80749i	0.249751	+	0.396365i
$389$	−2.13542	−	4.67592i	−0.108270	−	0.237079i	0.847740	−	0.530412i	$-0.177963\pi$
$389$	−2.13542	−	4.67592i	−0.108270	−	0.237079i	−0.956010	+	0.293333i	$0.905235\pi$
$390$	−3.18084	+	3.47342i	−0.161068	+	0.175884i
$391$	−20.4770	+	20.3511i	−1.03557	+	1.02920i
$392$	−1.32758	+	3.41869i	−0.0670530	+	0.172670i
$393$	−5.41147	+	2.47134i	−0.272973	+	0.124662i
$394$	−0.522952	−	0.197718i	−0.0263459	−	0.00996087i
$395$	10.4443	−	9.97479i	0.525510	−	0.501886i
$396$	−5.96250	−	1.80879i	−0.299627	−	0.0908951i
$397$	−12.2747	−	14.1658i	−0.616052	−	0.710962i	0.358901	−	0.933376i	$-0.383152\pi$
$397$	−12.2747	−	14.1658i	−0.616052	−	0.710962i	−0.974952	+	0.222414i	$0.928606\pi$
$398$	5.73984	−	10.4010i	0.287712	−	0.521353i
$399$	−1.84063	+	6.26859i	−0.0921465	+	0.313822i
$400$	−11.8644	+	16.1008i	−0.593221	+	0.805039i
$401$	29.3993	+	4.22698i	1.46813	+	0.211086i	0.829535	−	0.558455i	$-0.188606\pi$
$401$	29.3993	+	4.22698i	1.46813	+	0.211086i	0.638598	+	0.769541i	$0.279515\pi$
$402$	−3.14543	−	5.82213i	−0.156880	−	0.290381i
$403$	14.7577	+	6.73962i	0.735134	+	0.335724i
$404$	−3.24817	−	24.1200i	−0.161602	−	1.20001i
$405$	12.5309	−	6.47297i	0.622665	−	0.321645i
$406$	−3.55430	−	4.79248i	−0.176397	−	0.237847i
$407$	0.283052	+	1.96867i	0.0140304	+	0.0975833i
$408$	−3.19268	−	8.92349i	−0.158061	−	0.441779i
$409$	−0.572971	−	0.368226i	−0.0283316	−	0.0182076i	0.526398	−	0.850238i	$-0.323542\pi$
$409$	−0.572971	−	0.368226i	−0.0283316	−	0.0182076i	−0.554730	+	0.832030i	$0.687178\pi$
$410$	34.5486	−	4.00263i	1.70623	−	0.197676i
$411$	1.29203	+	4.40026i	0.0637313	+	0.217049i
$412$	−13.7729	−	16.1848i	−0.678540	−	0.797367i
$413$		−	37.4142i		−	1.84103i
$414$	16.6536	−	7.45392i	0.818478	−	0.366340i
$415$	12.7264	+	1.20482i	0.624713	+	0.0591423i
$416$	4.97135	+	14.2964i	0.243741	+	0.700941i
$417$	−3.25848	−	11.0974i	−0.159569	−	0.543440i
$418$	−6.52743	+	1.38943i	−0.319267	+	0.0679594i
$419$	17.5638	−	27.3298i	0.858047	−	1.33515i	−0.0828877	−	0.996559i	$-0.526414\pi$
$419$	17.5638	−	27.3298i	0.858047	−	1.33515i	0.940935	−	0.338588i	$-0.109949\pi$
$420$	−4.47797	+	5.59993i	−0.218503	+	0.273249i
$421$	−4.88454	−	33.9727i	−0.238058	−	1.65573i	−0.661604	−	0.749854i	$-0.730124\pi$
$421$	−4.88454	−	33.9727i	−0.238058	−	1.65573i	0.423546	−	0.905875i	$-0.360785\pi$
$422$	12.3625	+	16.6691i	0.601797	+	0.811441i
$423$	17.9322	−	11.5243i	0.871895	−	0.560333i
$424$	6.45709	−	11.4574i	0.313584	−	0.556420i
$425$	−17.4194	+	24.5462i	−0.844964	+	1.19066i
$426$	−2.70106	+	1.45926i	−0.130867	+	0.0707013i
$427$	−21.3766	−	3.07350i	−1.03449	−	0.148737i
$428$	9.42042	+	8.31142i	0.455353	+	0.401748i
$429$	−1.65494	−	0.485934i	−0.0799013	−	0.0234611i
$430$	5.12241	−	7.50902i	0.247025	−	0.362117i
$431$	−2.55531	−	2.94898i	−0.123085	−	0.142047i	0.690862	−	0.722986i	$-0.257231\pi$
$431$	−2.55531	−	2.94898i	−0.123085	−	0.142047i	−0.813947	+	0.580939i	$0.802686\pi$
$432$	−0.226462	+	12.6672i	−0.0108956	+	0.609450i
$433$	8.12117	−	9.37233i	0.390279	−	0.450406i	−0.526277	−	0.850313i	$-0.676412\pi$
$433$	8.12117	−	9.37233i	0.390279	−	0.450406i	0.916555	+	0.399908i	$0.130958\pi$
$434$	23.1029	+	8.73474i	1.10897	+	0.419281i
$435$	−0.597678	−	1.72236i	−0.0286565	−	0.0825810i
$436$	3.30090	+	11.6252i	0.158085	+	0.556747i
$437$	11.7595	−	15.6083i	0.562533	−	0.746645i
$438$	−8.04433	−	6.07820i	−0.384373	−	0.290427i
$439$	−17.2732	+	7.88839i	−0.824403	+	0.376492i	−0.782516	−	0.622630i	$-0.786064\pi$
$439$	−17.2732	+	7.88839i	−0.824403	+	0.376492i	−0.0418868	+	0.999122i	$0.513337\pi$
$440$	−7.20702	−	1.30548i	−0.343581	−	0.0622362i
$441$	2.28424	−	2.63616i	0.108774	−	0.125531i
$442$	7.86503	+	21.3783i	0.374101	+	1.01686i
$443$	4.73965	−	4.10693i	0.225188	−	0.195126i	−0.534959	−	0.844878i	$-0.679673\pi$
$443$	4.73965	−	4.10693i	0.225188	−	0.195126i	0.760146	+	0.649752i	$0.225127\pi$
$444$	1.74619	−	0.778672i	0.0828705	−	0.0369541i
$445$	1.06249	−	2.66021i	0.0503668	−	0.126106i
$446$	9.11524	+	0.692893i	0.431619	+	0.0328094i
$447$	−4.97568	−	0.715395i	−0.235342	−	0.0338370i
$448$	9.00703	+	21.2098i	0.425542	+	1.00207i
$449$	−6.07842	+	13.3099i	−0.286858	+	0.628132i	−0.997123	−	0.0758026i	$-0.975848\pi$
$449$	−6.07842	+	13.3099i	−0.286858	+	0.628132i	0.710264	+	0.703935i	$0.248575\pi$
$450$	15.7837	−	10.6172i	0.744049	−	0.500502i
$451$	6.88606	+	10.7149i	0.324252	+	0.504546i
$452$	−0.328520	+	36.7546i	−0.0154523	+	1.72879i
$453$	0.851671	+	5.92350i	0.0400150	+	0.278310i
$454$	0.443421	+	6.61516i	0.0208108	+	0.310465i
$455$	10.6421	−	13.5551i	0.498911	−	0.635475i
$456$	2.99880	+	5.67136i	0.140432	+	0.265586i
$457$	−1.47905	+	0.434288i	−0.0691870	+	0.0203151i	−0.316143	−	0.948712i	$-0.602388\pi$
$457$	−1.47905	+	0.434288i	−0.0691870	+	0.0203151i	0.246956	+	0.969027i	$0.420570\pi$
$458$	6.11377	−	27.5120i	0.285678	−	1.28555i
$459$			19.0665i			0.889948i
$460$	18.4377	−	10.9567i	0.859663	−	0.510861i
$461$			7.95757i			0.370621i	0.982680	+	0.185310i	$0.0593291\pi$
$461$			7.95757i			0.370621i	−0.982680	+	0.185310i	$0.940671\pi$
$462$	−2.56330	−	0.569621i	−0.119255	−	0.0265012i
$463$	37.7977	−	11.0984i	1.75661	−	0.515787i	0.764884	−	0.644168i	$-0.222796\pi$
$463$	37.7977	−	11.0984i	1.75661	−	0.515787i	0.991725	+	0.128382i	$0.0409782\pi$
$464$	−5.78355	−	0.937356i	−0.268495	−	0.0435157i
$465$	5.93595	+	4.66031i	0.275273	+	0.216117i
$466$	18.8176	−	1.26136i	0.871707	−	0.0584313i
$467$	−0.476014	−	3.31075i	−0.0220273	−	0.153203i	0.975839	−	0.218490i	$-0.0701130\pi$
$467$	−0.476014	−	3.31075i	−0.0220273	−	0.153203i	−0.997867	+	0.0652865i	$0.979204\pi$
$468$	0.128671	−	14.3957i	0.00594784	−	0.665440i
$469$	13.0910	+	20.3700i	0.604485	+	0.940597i
$470$	19.3802	−	15.8827i	0.893940	−	0.732615i
$471$	4.39618	−	9.62629i	0.202565	−	0.443556i
$472$	−25.6280	−	26.3246i	−1.17962	−	1.21169i
$473$	3.29494	+	0.473741i	0.151502	+	0.0217826i
$474$	0.385369	−	5.06967i	0.0177006	−	0.232858i
$475$	9.30671	−	18.1245i	0.427021	−	0.831610i
$476$	14.1235	+	31.6723i	0.647351	+	1.45170i
$477$	−9.45349	+	8.19149i	−0.432845	+	0.375063i
$478$	−31.9869	+	11.7679i	−1.46304	+	0.538252i
$479$	11.0748	−	12.7810i	0.506019	−	0.583978i	−0.444056	−	0.895999i	$-0.646461\pi$
$479$	11.0748	−	12.7810i	0.506019	−	0.583978i	0.950075	+	0.312022i	$0.101006\pi$
$480$	0.685148	+	7.00742i	0.0312726	+	0.319844i
$481$	−4.18009	+	1.90898i	−0.190596	+	0.0870421i
$482$	−12.2190	+	16.1715i	−0.556559	+	0.736592i
$483$	6.75995	−	3.66419i	0.307588	−	0.166726i
$484$	5.27655	+	18.5831i	0.239843	+	0.844688i
$485$	−3.38238	−	9.74719i	−0.153586	−	0.442597i
$486$	6.50815	−	17.2137i	0.295216	−	0.780829i
$487$	−5.91061	+	6.82121i	−0.267835	+	0.309099i	−0.873696	−	0.486472i	$-0.838283\pi$
$487$	−5.91061	+	6.82121i	−0.267835	+	0.309099i	0.605861	+	0.795571i	$0.292829\pi$
$488$	−17.1458	+	12.4801i	−0.776155	+	0.564946i
$489$	2.31566	+	2.67242i	0.104718	+	0.120851i
$490$	2.31065	−	3.38722i	0.104385	−	0.153019i
$491$	6.86273	+	2.01508i	0.309710	+	0.0909392i	0.432894	−	0.901445i	$-0.357492\pi$
$491$	6.86273	+	2.01508i	0.309710	+	0.0909392i	−0.123184	+	0.992384i	$0.539310\pi$
$492$	8.10044	−	9.18130i	0.365196	−	0.413925i
$493$	−8.72778	−	1.25487i	−0.393079	−	0.0565163i
$494$	−7.32920	−	13.5662i	−0.329756	−	0.610372i
$495$	6.03579	+	3.47825i	0.271288	+	0.156336i
$496$	22.2383	−	9.67927i	0.998527	−	0.434612i
$497$	9.45024	−	6.07330i	0.423901	−	0.272425i
$498$	3.61465	−	2.68077i	0.161976	−	0.120128i
$499$	−1.07821	−	7.49914i	−0.0482675	−	0.335708i	−0.999619	−	0.0276003i	$-0.991213\pi$
$499$	−1.07821	−	7.49914i	−0.0482675	−	0.335708i	0.951352	−	0.308108i	$-0.0996957\pi$
$500$	16.9940	−	14.5328i	0.759995	−	0.649928i
$501$	4.63343	−	7.20976i	0.207006	−	0.322108i
$502$	2.79518	+	13.1315i	0.124755	+	0.586087i
$503$	−4.13028	−	14.0664i	−0.184160	−	0.627191i	−0.998879	−	0.0473353i	$-0.984927\pi$
$503$	−4.13028	−	14.0664i	−0.184160	−	0.627191i	0.814719	−	0.579856i	$-0.196891\pi$
$504$	−1.27030	−	21.8798i	−0.0565836	−	0.974606i
$505$	−2.56457	+	27.0893i	−0.114122	+	1.20546i
$506$	6.57531	+	4.29622i	0.292308	+	0.190990i
$507$			3.25100i			0.144382i
$508$	9.00038	−	7.65910i	0.399327	−	0.339818i
$509$	−5.72235	−	19.4885i	−0.253639	−	0.863814i	−0.983606	−	0.180332i	$-0.942283\pi$
$509$	−5.72235	−	19.4885i	−0.253639	−	0.863814i	0.729967	−	0.683482i	$-0.239535\pi$
$510$	1.21945	+	10.5257i	0.0539983	+	0.466086i
$511$	31.0359	+	19.9456i	1.37295	+	0.882340i
$512$	20.8656	+	8.75356i	0.922140	+	0.386856i
$513$	−1.83676	−	12.7750i	−0.0810950	−	0.564028i
$514$	−0.167545	+	0.124258i	−0.00739008	+	0.00548078i
$515$	10.9047	+	21.1101i	0.480517	+	0.930223i
$516$	−0.427078	−	3.17136i	−0.0188011	−	0.139612i
$517$	8.34699	+	3.81194i	0.367100	+	0.167649i
$518$	−6.15510	+	3.32532i	−0.270440	+	0.146106i
$519$	2.94375	+	0.423248i	0.129216	+	0.0185785i
$520$	−1.79723	−	16.8270i	−0.0788137	−	0.737913i
$521$	0.333921	−	1.13723i	0.0146293	−	0.0498229i	−0.951855	−	0.306549i	$-0.900826\pi$
$521$	0.333921	−	1.13723i	0.0146293	−	0.0498229i	0.966484	+	0.256726i	$0.0826438\pi$
$522$	4.87898	+	2.69250i	0.213547	+	0.117848i
$523$	1.59373	+	1.83927i	0.0696891	+	0.0804255i	0.789524	−	0.613720i	$-0.210328\pi$
$523$	1.59373	+	1.83927i	0.0696891	+	0.0804255i	−0.719834	+	0.694146i	$0.755782\pi$
$524$	6.20524	−	20.4550i	0.271077	−	0.893579i
$525$	6.29336	−	4.96568i	0.274665	−	0.216720i
$526$	−11.4165	+	30.1961i	−0.497784	+	1.31661i
$527$	33.2017	−	15.1627i	1.44629	−	0.660498i
$528$	−2.19371	+	1.35502i	−0.0954690	+	0.0589699i
$529$	−22.7857	+	3.13274i	−0.990681	+	0.136206i
$530$	−9.93053	+	10.8440i	−0.431355	+	0.471032i
$531$	14.5160	+	31.7856i	0.629941	+	1.37938i
$532$	−12.5142	−	19.8605i	−0.542559	−	0.861064i
$533$	−19.2715	+	22.2405i	−0.834740	+	0.963342i
$534$	−0.348187	−	0.946422i	−0.0150675	−	0.0409557i
$535$	−8.15654	−	11.4346i	−0.352638	−	0.494363i
$536$	23.1638	+	5.36520i	1.00052	+	0.231741i
$537$	−0.00827354	+	0.0281771i	−0.000357030	+	0.00121593i
$538$	3.18867	−	41.9481i	0.137473	−	1.80851i
$539$	1.48630	+	0.213698i	0.0640196	+	0.00920463i
$540$	3.45120	−	13.7377i	0.148516	−	0.591177i
$541$	−16.1946	−	7.39584i	−0.696261	−	0.317972i	0.0356571	−	0.999364i	$-0.488648\pi$
$541$	−16.1946	−	7.39584i	−0.696261	−	0.317972i	−0.731919	+	0.681392i	$0.761375\pi$
$542$	−8.99678	−	9.07755i	−0.386445	−	0.389914i
$543$	−4.19503	−	6.52759i	−0.180026	−	0.280126i
$544$	31.6322	+	12.6103i	1.35622	+	0.540660i
$545$	−0.653819	−	13.4954i	−0.0280065	−	0.578078i
$546$	−0.405763	−	6.05336i	−0.0173650	−	0.259060i
$547$	6.61207	−	10.2886i	0.282712	−	0.439908i	−0.670634	−	0.741788i	$-0.733978\pi$
$547$	6.61207	−	10.2886i	0.282712	−	0.439908i	0.953346	+	0.301880i	$0.0976143\pi$
$548$	−14.9271	−	6.97887i	−0.637652	−	0.298122i
$549$	19.3532	−	5.68261i	0.825974	−	0.242528i
$550$	7.51844	+	3.24496i	0.320587	+	0.138366i
$551$	5.96868			0.254274
$552$	2.24639	−	7.20855i	0.0956127	−	0.306816i
$553$			18.6038i			0.791115i
$554$	6.32267	−	28.4521i	0.268624	−	1.20881i
$555$	−2.09865	+	0.406246i	−0.0890829	+	0.0172442i
$556$	37.6457	+	17.6006i	1.59654	+	0.746430i
$557$	−13.7314	+	21.3664i	−0.581817	+	0.905325i	−0.999995	−	0.00304009i	$-0.999032\pi$
$557$	−13.7314	+	21.3664i	−0.581817	+	0.905325i	0.418178	+	0.908365i	$0.362669\pi$
$558$	−23.0162	+	1.54280i	−0.974353	+	0.0653119i
$559$	1.09457	+	7.61293i	0.0462955	+	0.321992i
$560$	−4.44326	−	25.3769i	−0.187762	−	1.07237i
$561$	−3.26444	+	2.09793i	−0.137825	+	0.0885747i
$562$	−21.4205	−	21.6128i	−0.903571	−	0.911683i
$563$	−10.3901	+	22.7512i	−0.437892	+	0.958850i	0.554089	+	0.832458i	$0.313067\pi$
$563$	−10.3901	+	22.7512i	−0.437892	+	0.958850i	−0.991980	+	0.126392i	$0.959660\pi$
$564$	1.33336	−	8.71974i	0.0561446	−	0.367167i
$565$	9.65606	−	39.9440i	0.406233	−	1.68046i
$566$	−34.8713	−	2.65073i	−1.46575	−	0.111419i
$567$	−5.11852	+	17.4321i	−0.214958	+	0.732079i
$568$	2.48908	−	10.7464i	0.104439	−	0.450908i
$569$	−10.8002	+	9.35846i	−0.452770	+	0.392327i	−0.851175	−	0.524882i	$-0.824109\pi$
$569$	−10.8002	+	9.35846i	−0.452770	+	0.392327i	0.398405	+	0.917210i	$0.369564\pi$
$570$	−1.83105	−	6.93496i	−0.0766941	−	0.290474i
$571$	16.6277	+	14.4080i	0.695847	+	0.602955i	0.929262	−	0.369422i	$-0.120444\pi$
$571$	16.6277	+	14.4080i	0.695847	+	0.602955i	−0.233414	+	0.972377i	$0.574990\pi$
$572$	5.24329	−	3.30381i	0.219233	−	0.138139i
$573$	5.06847	−	2.31469i	0.211738	−	0.0966976i
$574$	−27.0085	+	35.7450i	−1.12731	+	1.49197i
$575$	−22.8512	+	7.26787i	−0.952962	+	0.303091i
$576$	−15.8810	−	14.5245i	−0.661710	−	0.605187i
$577$	32.0460	−	14.6349i	1.33409	−	0.609259i	0.384608	−	0.923080i	$-0.374337\pi$
$577$	32.0460	−	14.6349i	1.33409	−	0.609259i	0.949482	+	0.313821i	$0.101609\pi$
$578$	25.4485	+	9.62155i	1.05852	+	0.400204i
$579$	−1.63904	+	1.89156i	−0.0681163	+	0.0786104i
$580$	6.06136	+	2.48395i	0.251684	+	0.103141i
$581$	−12.4447	+	10.7834i	−0.516295	+	0.447372i
$582$	−3.18005	−	1.75493i	−0.131817	−	0.0727443i
$583$	−5.16670	−	1.51708i	−0.213983	−	0.0628310i
$584$	35.4991	−	7.22532i	1.46896	−	0.298986i
$585$	−3.78199	+	15.6449i	−0.156366	+	0.646835i
$586$	−16.8591	−	31.2058i	−0.696441	−	1.28910i
$587$	28.3170	+	12.9319i	1.16877	+	0.533758i	0.902731	−	0.430205i	$-0.141559\pi$
$587$	28.3170	+	12.9319i	1.16877	+	0.533758i	0.266036	+	0.963963i	$0.414286\pi$
$588$	−0.192649	−	1.43056i	−0.00794472	−	0.0589953i
$589$	−20.7851	+	13.3578i	−0.856437	+	0.550399i
$590$	21.2501	+	35.1518i	0.874855	+	1.44718i
$591$	0.217811	−	0.0313165i	0.00895956	−	0.00128819i
$592$	−2.05294	+	6.55581i	−0.0843753	+	0.269442i
$593$	13.6647	−	21.2626i	0.561140	−	0.873151i	−0.438533	−	0.898715i	$-0.644502\pi$
$593$	13.6647	−	21.2626i	0.561140	−	0.873151i	0.999673	+	0.0255637i	$0.00813807\pi$
$594$	5.07362	−	1.07997i	0.208173	−	0.0443119i
$595$	−7.36847	−	38.0653i	−0.302078	−	1.56053i
$596$	13.7554	−	11.7055i	0.563442	−	0.479476i
$597$			4.67576i			0.191366i
$598$	−5.24415	+	17.3734i	−0.214449	+	0.710450i
$599$			2.47525i			0.101136i	0.998721	+	0.0505680i	$0.0161032\pi$
$599$			2.47525i			0.101136i	−0.998721	+	0.0505680i	$0.983897\pi$
$600$	1.02661	−	7.80467i	0.0419111	−	0.318624i
$601$	41.7064	−	12.2461i	1.70124	−	0.499529i	0.720272	−	0.693692i	$-0.244017\pi$
$601$	41.7064	−	12.2461i	1.70124	−	0.499529i	0.980969	+	0.194163i	$0.0621990\pi$
$602$	2.43777	+	11.4524i	0.0993562	+	0.466766i
$603$	−19.0247	−	12.2265i	−0.774747	−	0.497900i
$604$	−17.9844	−	11.7863i	−0.731773	−	0.479578i
$605$	−1.04514	−	21.5726i	−0.0424910	−	0.877050i
$606$	5.70627	+	7.69412i	0.231802	+	0.312552i
$607$	−19.0901	+	12.2685i	−0.774844	+	0.497962i	−0.867319	−	0.497753i	$-0.834159\pi$
$607$	−19.0901	+	12.2685i	−0.774844	+	0.497962i	0.0924748	+	0.995715i	$0.470522\pi$
$608$	−22.4090	−	5.40186i	−0.908806	−	0.219074i
$609$	2.13622	+	0.975579i	0.0865640	+	0.0395324i
$610$	21.8297	−	9.25363i	0.883858	−	0.374669i
$611$	−3.01730	+	20.9858i	−0.122067	+	0.848994i
$612$	−24.2871	−	21.4279i	−0.981746	−	0.866171i
$613$	−12.3710	+	42.1318i	−0.499661	+	1.70169i	0.193667	+	0.981067i	$0.437962\pi$
$613$	−12.3710	+	42.1318i	−0.499661	+	1.70169i	−0.693328	+	0.720622i	$0.743856\pi$
$614$	40.9645	+	22.6066i	1.65319	+	0.912327i
$615$	−11.1444	+	7.94949i	−0.449385	+	0.320554i
$616$	7.62806	−	5.55229i	0.307343	−	0.223708i
$617$	−27.1896	+	31.3785i	−1.09461	+	1.26325i	−0.132328	+	0.991206i	$0.542245\pi$
$617$	−27.1896	+	31.3785i	−1.09461	+	1.26325i	−0.962285	+	0.272044i	$0.912300\pi$
$618$	7.82407	+	2.95812i	0.314730	+	0.118993i
$619$	30.5393	−	13.9468i	1.22748	−	0.560570i	0.307129	−	0.951668i	$-0.400632\pi$
$619$	30.5393	−	13.9468i	1.22748	−	0.560570i	0.920349	+	0.391098i	$0.127905\pi$
$620$	−26.6670	+	4.91518i	−1.07097	+	0.197398i
$621$	−9.14040	+	12.1320i	−0.366791	+	0.486839i
$622$	28.4406	−	37.6404i	1.14036	−	1.50924i
$623$	1.53286	+	3.35650i	0.0614128	+	0.134475i
$624$	−4.43193	−	3.98119i	−0.177419	−	0.159375i
$625$	−22.1837	+	11.5276i	−0.887346	+	0.461104i
$626$	−10.5115	−	28.5718i	−0.420125	−	1.14196i
$627$	1.98514	−	1.72014i	0.0792789	−	0.0686956i
$628$	15.4860	+	34.7277i	0.617959	+	1.38579i
$629$	−2.91272	+	9.91981i	−0.116138	+	0.395529i
$630$	−4.15182	+	24.1493i	−0.165413	+	0.962131i
$631$	3.10604	−	21.6030i	0.123650	−	0.860002i	−0.829716	−	0.558185i	$-0.811498\pi$
$631$	3.10604	−	21.6030i	0.123650	−	0.860002i	0.953366	−	0.301817i	$-0.0975932\pi$
$632$	12.7432	+	13.0896i	0.506899	+	0.520677i
$633$	−7.43016	−	3.39324i	−0.295322	−	0.134869i
$634$	6.79854	−	6.73805i	0.270005	−	0.267602i
$635$	−11.7394	+	6.06410i	−0.465862	+	0.240646i
$636$	−0.0462660	+	5.17621i	−0.00183457	+	0.205250i
$637$	0.493748	+	3.43409i	0.0195630	+	0.136064i
$638$	0.160442	+	2.39355i	0.00635196	+	0.0947616i
$639$	−5.67222	+	8.82615i	−0.224390	+	0.349157i
$640$	−20.5089	−	14.8116i	−0.810687	−	0.585480i
$641$	−8.07161	−	27.4894i	−0.318809	−	1.08576i	−0.950546	−	0.310582i	$-0.899476\pi$
$641$	−8.07161	−	27.4894i	−0.318809	−	1.08576i	0.631737	−	0.775183i	$-0.282342\pi$
$642$	−4.82691	−	1.07264i	−0.190503	−	0.0423339i
$643$	−10.0335			−0.395682			−0.197841	−	0.980234i	$-0.563393\pi$
$643$	−10.0335			−0.395682			−0.197841	+	0.980234i	$0.563393\pi$
$644$	−6.19682	+	26.9238i	−0.244189	+	1.06094i
$645$	−0.337197	+	3.56177i	−0.0132771	+	0.140245i
$646$	−33.8644	−	7.52540i	−1.33238	−	0.296083i
$647$	9.73319	−	2.85792i	0.382651	−	0.112356i	−0.0847492	−	0.996402i	$-0.527009\pi$
$647$	9.73319	−	2.85792i	0.382651	−	0.112356i	0.467400	+	0.884046i	$0.345191\pi$
$648$	8.33925	+	15.7713i	0.327597	+	0.619554i
$649$	−8.13263	+	12.6546i	−0.319234	+	0.496737i
$650$	−2.29970	+	18.7799i	−0.0902017	+	0.736608i
$651$	−9.62243	+	1.38350i	−0.377133	+	0.0542235i
$652$	−12.7050	−	0.113560i	−0.497567	−	0.00444735i
$653$	13.6486	−	8.77140i	0.534110	−	0.343251i	−0.245622	−	0.969366i	$-0.578992\pi$
$653$	13.6486	−	8.77140i	0.534110	−	0.343251i	0.779731	+	0.626114i	$0.215356\pi$
$654$	−3.34829	−	3.37835i	−0.130929	−	0.132104i
$655$	−11.9325	+	20.7064i	−0.466241	+	0.809065i
$656$	5.48152	+	43.6504i	0.214017	+	1.70426i
$657$	−34.1054	−	4.90361i	−1.33058	−	0.191308i
$658$	−2.44647	+	32.1842i	−0.0953735	+	1.25467i
$659$	−2.68930	+	9.15892i	−0.104760	+	0.356781i	−0.995144	−	0.0984301i	$-0.968618\pi$
$659$	−2.68930	+	9.15892i	−0.104760	+	0.356781i	0.890384	+	0.455211i	$0.150436\pi$
$660$	2.73183	−	0.920700i	0.106336	−	0.0358382i
$661$	−32.0862	−	37.0294i	−1.24801	−	1.44028i	−0.853257	−	0.521490i	$-0.825376\pi$
$661$	−32.0862	−	37.0294i	−1.24801	−	1.44028i	−0.394751	−	0.918788i	$-0.629169\pi$
$662$	11.4241	+	31.0523i	0.444010	+	1.20688i
$663$	−6.77586	−	5.87131i	−0.263153	−	0.228023i
$664$	−1.36966	+	16.1116i	−0.0531530	+	0.625251i
$665$	8.60403	+	24.7947i	0.333650	+	0.961498i
$666$	3.93897	−	5.21312i	0.152632	−	0.202004i
$667$	−4.95188	−	4.98252i	−0.191738	−	0.192924i
$668$	8.41112	+	29.6225i	0.325436	+	1.14613i
$669$	−3.27291	+	1.49469i	−0.126538	+	0.0577880i
$670$	−23.8689	−	11.7029i	−0.922136	−	0.452124i
$671$	6.56214	+	5.68613i	0.253329	+	0.219511i
$672$	−7.13737	−	5.59610i	−0.275330	−	0.215874i
$673$	4.28144	−	3.70989i	0.165038	−	0.143006i	−0.568427	−	0.822734i	$-0.692448\pi$
$673$	4.28144	−	3.70989i	0.165038	−	0.143006i	0.733464	+	0.679728i	$0.237902\pi$
$674$	−3.10576	+	5.62783i	−0.119629	+	0.216776i
$675$	−7.23389	+	14.0878i	−0.278433	+	0.542239i
$676$	−8.75924	−	7.72807i	−0.336894	−	0.297234i
$677$	−35.6493	−	5.12560i	−1.37012	−	0.196993i	−0.582335	−	0.812949i	$-0.697861\pi$
$677$	−35.6493	−	5.12560i	−1.37012	−	0.196993i	−0.787781	+	0.615956i	$0.788770\pi$
$678$	−6.87648	−	12.7282i	−0.264090	−	0.488825i
$679$	12.0893	+	5.52099i	0.463944	+	0.211876i
$680$	−31.2584	−	21.7354i	−1.19871	−	0.833516i
$681$	−1.41082	−	2.19528i	−0.0540628	−	0.0841234i
$682$	−5.91545	−	7.97616i	−0.226514	−	0.305423i
$683$	39.6593	−	5.70215i	1.51752	−	0.218187i	0.667370	−	0.744726i	$-0.267420\pi$
$683$	39.6593	−	5.70215i	1.51752	−	0.218187i	0.850151	+	0.526540i	$0.176511\pi$
$684$	18.3371	+	12.0175i	0.701136	+	0.459499i
$685$	14.4906	+	11.3765i	0.553656	+	0.434675i
$686$	−4.83694	−	22.7235i	−0.184675	−	0.867587i
$687$	3.12518	+	10.6434i	0.119233	+	0.406071i
$688$	9.55990	+	6.38808i	0.364468	+	0.243543i
$689$		−	12.4416i		−	0.473986i
$690$	−4.27004	+	7.28207i	−0.162558	+	0.277224i
$691$	5.97319			0.227231			0.113616	−	0.993525i	$-0.463757\pi$
$691$	5.97319			0.227231			0.113616	+	0.993525i	$0.463757\pi$
$692$	−8.13807	+	6.92530i	−0.309363	+	0.263260i
$693$	−8.61009	+	2.52815i	−0.327070	+	0.0960365i
$694$	0.299161	+	1.40543i	0.0113560	+	0.0533494i
$695$	−36.5449	−	28.6914i	−1.38623	−	1.08833i
$696$	2.17129	−	0.776853i	0.0823026	−	0.0294465i
$697$	9.42232	+	65.5337i	0.356896	+	2.48227i
$698$	−28.5436	+	21.1691i	−1.08039	+	0.801262i
$699$	−6.24472	+	4.01324i	−0.236197	+	0.151795i
$700$	−1.58105	+	28.7604i	−0.0597583	+	1.08704i
$701$	6.52702	−	14.2922i	0.246522	−	0.539808i	−0.745406	−	0.666611i	$-0.767744\pi$
$701$	6.52702	−	14.2922i	0.246522	−	0.539808i	0.991928	+	0.126803i	$0.0404715\pi$
$702$	5.69682	+	10.5447i	0.215013	+	0.397984i
$703$	0.995962	−	6.92707i	0.0375634	−	0.261259i
$704$	1.56388	−	9.13164i	0.0589408	−	0.344162i
$705$	−3.65802	+	9.15879i	−0.137769	+	0.344940i
$706$	−40.0842	−	22.1208i	−1.50859	−	0.832526i
$707$	−22.9535	−	26.4898i	−0.863257	−	0.996252i
$708$	13.8377	+	4.19781i	0.520052	+	0.157763i
$709$	−22.3312	+	25.7716i	−0.838666	+	0.967872i	−0.999818	−	0.0190573i	$-0.993934\pi$
$709$	−22.3312	+	25.7716i	−0.838666	+	0.967872i	0.161152	+	0.986930i	$0.448479\pi$
$710$	−5.42935	+	11.0735i	−0.203760	+	0.415581i
$711$	−7.21793	−	15.8051i	−0.270694	−	0.592736i
$712$	3.37765	+	1.31165i	0.126583	+	0.0491560i
$713$	28.3951	+	6.26876i	1.06340	+	0.234767i
$714$	−10.8902	−	8.22850i	−0.407556	−	0.307944i
$715$	−6.54593	+	2.27151i	−0.244804	+	0.0849496i
$716$	−0.0562508	−	0.0892724i	−0.00210219	−	0.00333627i
$717$	8.78485	−	10.1383i	0.328076	−	0.378620i
$718$	−0.0589008	−	0.160101i	−0.00219816	−	0.00597490i
$719$	−30.5885	+	26.5051i	−1.14076	+	0.988474i	−0.999999	−	0.00156974i	$-0.999500\pi$
$719$	−30.5885	+	26.5051i	−1.14076	+	0.988474i	−0.140761	+	0.990044i	$0.544955\pi$
$720$	13.6206	+	19.8353i	0.507609	+	0.739218i
$721$	−29.3669	−	8.62290i	−1.09368	−	0.321134i
$722$	−3.37796	−	0.256775i	−0.125715	−	0.00955618i
$723$	1.13534	−	7.89646i	0.0422237	−	0.293673i
$724$	27.5596	+	4.21422i	1.02424	+	0.156620i
$725$	−5.97265	−	4.23854i	−0.221818	−	0.157415i
$726$	−5.35231	−	5.40036i	−0.198643	−	0.200426i
$727$	12.8312	+	19.9657i	0.475881	+	0.740486i	0.993340	−	0.115223i	$-0.0367582\pi$
$727$	12.8312	+	19.9657i	0.475881	+	0.740486i	−0.517459	+	0.855708i	$0.673122\pi$
$728$	17.2743	+	13.2964i	0.640227	+	0.492798i
$729$	−1.66212	−	11.5603i	−0.0615601	−	0.428160i
$730$	−40.4877	−	1.11203i	−1.49852	−	0.0411581i
$731$	14.5567	+	9.35503i	0.538399	+	0.346008i
$732$	3.53516	−	7.56133i	0.130663	−	0.279475i
$733$	3.07719	+	10.4800i	0.113659	+	0.387086i	0.996599	−	0.0823983i	$-0.0262580\pi$
$733$	3.07719	+	10.4800i	0.113659	+	0.387086i	−0.882941	+	0.469484i	$0.844440\pi$
$734$	17.8391	+	3.96424i	0.658455	+	0.146323i
$735$	−0.152105	+	1.60667i	−0.00561048	+	0.0592629i
$736$	14.0822	+	23.1882i	0.519076	+	0.854728i
$737$		−	9.73529i		−	0.358604i
$738$	9.07694	−	40.8463i	0.334127	−	1.50357i
$739$	47.3618	−	13.9067i	1.74223	−	0.511565i	0.753012	−	0.658007i	$-0.228600\pi$
$739$	47.3618	−	13.9067i	1.74223	−	0.511565i	0.989219	+	0.146442i	$0.0467822\pi$
$740$	3.89423	−	6.62015i	0.143155	−	0.243362i
$741$	5.10558	+	3.28115i	0.187558	+	0.120536i
$742$	−1.26678	−	18.8985i	−0.0465051	−	0.693785i
$743$	−3.32411	+	0.477935i	−0.121950	+	0.0175338i	−0.203020	−	0.979175i	$-0.565075\pi$
$743$	−3.32411	+	0.477935i	−0.121950	+	0.0175338i	0.0810696	+	0.996708i	$0.474166\pi$
$744$	−5.82265	+	7.56460i	−0.213469	+	0.277332i
$745$	−17.9414	+	9.26783i	−0.657322	+	0.339547i
$746$	16.9869	+	17.1394i	0.621935	+	0.627519i
$747$	6.38879	−	13.9895i	0.233754	−	0.511849i
$748$	2.10753	−	13.7825i	0.0770589	−	0.503939i
$749$	17.9087	+	2.57488i	0.654370	+	0.0940842i
$750$	−3.09246	+	8.23985i	−0.112921	+	0.300877i
$751$	33.9824	+	9.97814i	1.24004	+	0.364108i	0.835029	−	0.550206i	$-0.185451\pi$
$751$	33.9824	+	9.97814i	1.24004	+	0.364108i	0.405007	+	0.914313i	$0.367269\pi$
$752$	20.3242	+	24.3205i	0.741147	+	0.886878i
$753$	−3.46047	−	3.99359i	−0.126106	−	0.145535i
$754$	−5.20182	+	1.91374i	−0.189439	+	0.0696944i
$755$	16.6039	+	17.3854i	0.604277	+	0.632721i
$756$	9.72700	+	15.4371i	0.353768	+	0.561444i
$757$	24.1784	−	11.0419i	0.878779	−	0.401325i	0.0756527	−	0.997134i	$-0.475896\pi$
$757$	24.1784	−	11.0419i	0.878779	−	0.401325i	0.803126	+	0.595810i	$0.203169\pi$
$758$	11.6522	−	15.4214i	0.423229	−	0.560132i
$759$	−3.08289	−	0.230053i	−0.111902	−	0.00835039i
$760$	23.0377	+	11.5519i	0.835664	+	0.419032i
$761$	−8.04347	−	17.6127i	−0.291575	−	0.638461i	0.705988	−	0.708224i	$-0.250503\pi$
$761$	−8.04347	−	17.6127i	−0.291575	−	0.638461i	−0.997564	+	0.0697625i	$0.977776\pi$
$762$	−1.64501	+	4.35097i	−0.0595926	+	0.157619i
$763$	13.1534	+	11.3975i	0.476184	+	0.412616i
$764$	−5.81192	+	19.1584i	−0.210268	+	0.693128i
$765$	21.0286	+	29.4800i	0.760290	+	1.06585i
$766$	−29.4955	−	16.2773i	−1.06572	−	0.588124i
$767$	−33.3479	−	9.79182i	−1.20412	−	0.353562i
$768$	−8.85505	+	0.951552i	−0.319529	+	0.0343362i
$769$	−45.8426	−	6.59117i	−1.65313	−	0.237684i	−0.748268	−	0.663397i	$-0.769114\pi$
$769$	−45.8426	−	6.59117i	−1.65313	−	0.237684i	−0.904858	+	0.425713i	$0.860023\pi$
$770$	−9.71186	+	4.11687i	−0.349991	+	0.148362i
$771$	0.0341061	−	0.0746820i	0.00122830	−	0.00268961i
$772$	−1.20023	−	8.91259i	−0.0431973	−	0.320771i
$773$	−1.65581	−	2.57649i	−0.0595554	−	0.0926699i	0.810199	−	0.586155i	$-0.199359\pi$
$773$	−1.65581	−	2.57649i	−0.0595554	−	0.0926699i	−0.869754	+	0.493485i	$0.835723\pi$
$774$	−6.51436	−	8.78372i	−0.234154	−	0.315724i
$775$	30.2847	+	1.39347i	1.08786	+	0.0500551i
$776$	12.2878	−	4.39636i	0.441105	−	0.157820i
$777$	1.48869	−	2.31644i	0.0534063	−	0.0831019i
$778$	−7.11040	+	1.51353i	−0.254920	+	0.0542625i
$779$	−12.6263	−	43.0012i	−0.452384	−	1.54068i
$780$	3.81935	+	5.45687i	0.136755	+	0.195387i
$781$	−4.51649			−0.161613
$782$	21.8134	+	34.5127i	0.780044	+	1.23417i
$783$	−4.63932			−0.165796
$784$	4.31234	+	2.88158i	0.154012	+	0.102914i
$785$	−8.07930	−	41.7375i	−0.288363	−	1.48967i
$786$	1.75161	+	8.22891i	0.0624779	+	0.293516i
$787$	−5.34809	−	3.43701i	−0.190639	−	0.122516i	0.441840	−	0.897094i	$-0.354326\pi$
$787$	−5.34809	−	3.43701i	−0.190639	−	0.122516i	−0.632479	+	0.774578i	$0.717962\pi$
$788$	−0.433391	+	0.661298i	−0.0154389	+	0.0235578i
$789$	−1.80827	−	12.5768i	−0.0643760	−	0.447745i
$790$	−10.5664	−	17.4789i	−0.375936	−	0.621871i
$791$	28.6193	+	44.5325i	1.01758	+	1.58339i
$792$	−4.32631	+	7.67654i	−0.153729	+	0.272774i
$793$	−8.33401	+	18.2489i	−0.295949	+	0.648039i
$794$	−23.3221	+	12.5999i	−0.827672	+	0.447153i
$795$	1.35988	−	5.62537i	0.0482299	−	0.199511i
$796$	−12.5980	−	11.1149i	−0.446525	−	0.393958i
$797$	−11.0850	+	37.7520i	−0.392650	+	1.33724i	0.491840	+	0.870686i	$0.336325\pi$
$797$	−11.0850	+	37.7520i	−0.392650	+	1.33724i	−0.884490	+	0.466559i	$0.845494\pi$
$798$	8.08935	+	4.46416i	0.286360	+	0.158030i
$799$	31.2363	+	36.0486i	1.10506	+	1.27531i
$800$	18.5879	+	21.3188i	0.657182	+	0.753732i
$801$	−2.60452	−	2.25683i	−0.0920261	−	0.0797411i
$802$	14.8548	−	39.2901i	0.524541	−	1.38738i
$803$	−6.16176	−	13.4924i	−0.217444	−	0.476136i
$804$	−9.00263	+	2.55624i	−0.317498	+	0.0901515i
$805$	13.5598	−	27.7533i	0.477921	−	0.978174i
$806$	13.8317	−	18.3059i	0.487202	−	0.644800i
$807$	6.87851	+	15.0618i	0.242135	+	0.530202i
$808$	−34.2950	−	2.91545i	−1.20650	−	0.102565i
$809$	−4.36102	+	5.03288i	−0.153325	+	0.176947i	−0.827216	−	0.561885i	$-0.810077\pi$
$809$	−4.36102	+	5.03288i	−0.153325	+	0.176947i	0.673890	+	0.738831i	$0.264622\pi$
$810$	−5.09189	−	19.2852i	−0.178911	−	0.677612i
$811$	−1.96550	−	2.26831i	−0.0690182	−	0.0796512i	0.720190	−	0.693776i	$-0.244054\pi$
$811$	−1.96550	−	2.26831i	−0.0690182	−	0.0796512i	−0.789209	+	0.614125i	$0.789509\pi$
$812$	−7.70661	+	3.43658i	−0.270449	+	0.120600i
$813$	4.82662	+	1.41722i	0.169277	+	0.0497042i
$814$	2.80466	+	0.213195i	0.0983031	+	0.00747248i
$815$	13.8075	+	3.33782i	0.483655	+	0.116919i
$816$	−13.2987	+	1.67002i	−0.465547	+	0.0584623i
$817$	−10.6545	−	4.86575i	−0.372754	−	0.170231i
$818$	−0.684129	+	0.678041i	−0.0239200	+	0.0237072i
$819$	−11.2093	−	17.4420i	−0.391685	−	0.609474i
$820$	5.07323	−	48.9236i	0.177165	−	1.70849i
$821$	−5.61639	+	0.807515i	−0.196013	+	0.0281825i	−0.239622	−	0.970866i	$-0.577024\pi$
$821$	−5.61639	+	0.807515i	−0.196013	+	0.0281825i	0.0436088	+	0.999049i	$0.486114\pi$
$822$	6.47110	−	0.433764i	0.225705	−	0.0151293i
$823$	23.2311	+	14.9297i	0.809784	+	0.520417i	0.878795	−	0.477199i	$-0.158348\pi$
$823$	23.2311	+	14.9297i	0.809784	+	0.520417i	−0.0690108	+	0.997616i	$0.521984\pi$
$824$	−26.5690	+	14.0487i	−0.925575	+	0.489409i
$825$	−3.20798	+	0.311570i	−0.111688	+	0.0108475i
$826$	−51.6517	−	11.4781i	−1.79719	−	0.399375i
$827$	−25.4408			−0.884663			−0.442331	−	0.896852i	$-0.645848\pi$
$827$	−25.4408			−0.884663			−0.442331	+	0.896852i	$0.645848\pi$
$828$	−5.18134	−	25.2776i	−0.180064	−	0.878457i
$829$		−	6.66556i		−	0.231504i	−0.993278	−	0.115752i	$-0.963072\pi$
$829$		−	6.66556i		−	0.231504i	0.993278	−	0.115752i	$-0.0369279\pi$
$830$	5.56757	−	17.1996i	0.193253	−	0.597007i
$831$	3.23197	+	11.0071i	0.112116	+	0.381831i
$832$	21.2619	−	2.47720i	0.737124	−	0.0858814i
$833$	6.56634	+	4.21993i	0.227510	+	0.146212i
$834$	−16.3200	+	1.09394i	−0.565115	+	0.0378802i
$835$	−1.66601	−	34.3879i	−0.0576548	−	1.19004i
$836$	−0.0843552	+	9.43761i	−0.00291749	+	0.326407i
$837$	16.1558	−	10.3827i	0.558427	−	0.358879i
$838$	−32.3415	−	32.6318i	−1.11722	−	1.12725i
$839$	−14.7125	+	32.2159i	−0.507932	+	1.11222i	0.465877	+	0.884849i	$0.345739\pi$
$839$	−14.7125	+	32.2159i	−0.507932	+	1.11222i	−0.973809	+	0.227367i	$0.926988\pi$
$840$	6.35713	+	7.89999i	0.219342	+	0.272575i
$841$	−3.82179	+	26.5812i	−0.131786	+	0.916591i
$842$	−48.3991	−	3.67904i	−1.66794	−	0.126788i
$843$	11.4917	+	3.37428i	0.395797	+	0.116216i
$844$	26.8050	−	11.9531i	0.922666	−	0.411441i
$845$	7.58406	+	10.6321i	0.260900	+	0.365755i
$846$	−10.4084	−	28.2916i	−0.357849	−	0.972685i
$847$	21.0259	+	18.2191i	0.722459	+	0.626014i
$848$	−13.8364	−	12.4292i	−0.475144	−	0.426821i
$849$	12.5209	−	5.71808i	0.429715	−	0.196244i
$850$	28.5429	+	31.5785i	0.979013	+	1.08313i
$851$	−6.60886	+	4.91560i	−0.226549	+	0.168504i
$852$	1.18592	+	4.17659i	0.0406288	+	0.143088i
$853$	8.72898	+	19.1138i	0.298875	+	0.654444i	0.998175	−	0.0603834i	$-0.0192323\pi$
$853$	8.72898	+	19.1138i	0.298875	+	0.654444i	−0.699301	+	0.714828i	$0.746505\pi$
$854$	−10.8011	+	28.5683i	−0.369606	+	0.977588i
$855$	−16.9295	−	17.7264i	−0.578978	−	0.606230i
$856$	14.3643	−	10.4554i	0.490961	−	0.357359i
$857$	−18.3114	+	15.8669i	−0.625506	+	0.542004i	−0.908908	−	0.416997i	$-0.863082\pi$
$857$	−18.3114	+	15.8669i	−0.625506	+	0.542004i	0.283402	+	0.959001i	$0.408537\pi$
$858$	−1.17856	+	2.13563i	−0.0402354	+	0.0729092i
$859$	−38.2284	−	11.2249i	−1.30434	−	0.382988i	−0.445520	−	0.895272i	$-0.646981\pi$
$859$	−38.2284	−	11.2249i	−1.30434	−	0.382988i	−0.858816	+	0.512284i	$0.828800\pi$
$860$	−8.79500	−	9.37534i	−0.299907	−	0.319696i
$861$	2.50952	−	17.4541i	0.0855243	−	0.594834i
$862$	−4.85511	+	2.62299i	−0.165366	+	0.0893395i
$863$	−16.1925	+	35.4566i	−0.551199	+	1.20696i	0.405021	+	0.914307i	$0.367264\pi$
$863$	−16.1925	+	35.4566i	−0.551199	+	1.20696i	−0.956220	+	0.292649i	$0.905463\pi$
$864$	17.4180	+	4.19874i	0.592574	+	0.142844i
$865$	10.6146	−	5.48311i	0.360908	−	0.186431i
$866$	−10.4474	−	14.0869i	−0.355017	−	0.478691i
$867$	−10.5994	+	1.52396i	−0.359974	+	0.0517564i
$868$	19.1463	−	29.2147i	0.649866	−	0.991611i
$869$	4.04386	−	6.29237i	0.137179	−	0.213454i
$870$	−2.56114	+	0.296721i	−0.0868309	+	0.0100598i
$871$	21.5821	−	6.33709i	0.731283	−	0.214724i
$872$	17.0617	−	0.990569i	0.577783	−	0.0335449i
$873$	−12.4126			−0.420103
$874$	−17.9402	−	21.0228i	−0.606835	−	0.711108i
$875$	8.99772	−	30.9212i	0.304179	−	1.04533i
$876$	−10.8591	+	9.24080i	−0.366894	+	0.312218i
$877$	−38.9841	+	11.4468i	−1.31640	+	0.386530i	−0.863193	−	0.504875i	$-0.831539\pi$
$877$	−38.9841	+	11.4468i	−1.31640	+	0.386530i	−0.453208	+	0.891405i	$0.649721\pi$
$878$	5.59106	+	26.2663i	0.188689	+	0.886444i
$879$	11.7442	+	7.54751i	0.396121	+	0.254571i
$880$	−4.01327	+	9.54905i	−0.135287	+	0.321899i
$881$	−48.0604	+	6.91004i	−1.61920	+	0.232805i	−0.891475	−	0.453069i	$-0.850329\pi$
$881$	−48.0604	+	6.91004i	−1.61920	+	0.232805i	−0.727720	+	0.685874i	$0.759420\pi$
$882$	−2.93854	−	3.96222i	−0.0989459	−	0.133415i
$883$	−20.8376	−	32.4239i	−0.701241	−	1.09115i	−0.990975	−	0.134045i	$-0.957203\pi$
$883$	−20.8376	−	32.4239i	−0.701241	−	1.09115i	0.289735	−	0.957107i	$-0.406433\pi$
$884$	31.9264	−	4.29943i	1.07380	−	0.144605i
$885$	−14.0078	−	8.07227i	−0.470866	−	0.271346i
$886$	−4.21572	−	7.80321i	−0.141630	−	0.262154i
$887$	6.31063	−	43.8914i	0.211890	−	1.47373i	−0.554946	−	0.831886i	$-0.687261\pi$
$887$	6.31063	−	43.8914i	0.211890	−	1.47373i	0.766836	−	0.641843i	$-0.221830\pi$
$888$	−0.539280	−	2.64956i	−0.0180970	−	0.0889136i
$889$	4.79521	−	16.3310i	0.160826	−	0.547723i
$890$	−3.34656	−	2.28292i	−0.112177	−	0.0765236i
$891$	5.52040	−	4.78346i	0.184941	−	0.160252i
$892$	3.75299	−	12.3714i	0.125659	−	0.414224i
$893$	−24.4017	−	21.1442i	−0.816570	−	0.707562i
$894$	−2.51409	+	6.64964i	−0.0840839	+	0.222397i
$895$	0.0386748	+	0.111451i	0.00129276	+	0.00372541i
$896$	32.0442	−	5.92768i	1.07052	−	0.198030i
$897$	−1.49678	−	6.98421i	−0.0499759	−	0.233196i
$898$	16.5100	+	12.4748i	0.550947	+	0.416288i
$899$	3.68944	+	8.07874i	0.123050	+	0.269441i
$900$	−9.81531	−	25.0471i	−0.327177	−	0.834905i
$901$	−21.1541	−	18.3301i	−0.704746	−	0.610665i
$902$	16.9049	−	6.21928i	0.562871	−	0.207079i
$903$	−3.01799	−	3.48295i	−0.100433	−	0.115905i
$904$	50.6403	+	11.7293i	1.68427	+	0.390111i
$905$	−28.9472	−	11.5615i	−0.962239	−	0.384318i
$906$	8.43889	+	0.641480i	0.280363	+	0.0213117i
$907$	−2.42855	+	16.8909i	−0.0806386	+	0.560854i	0.908947	+	0.416911i	$0.136887\pi$
$907$	−2.42855	+	16.8909i	−0.0806386	+	0.560854i	−0.989586	+	0.143943i	$0.954022\pi$
$908$	9.26851	+	1.41728i	0.307586	+	0.0470340i
$909$	29.7780	+	13.5991i	0.987673	+	0.451055i
$910$	−15.4485	−	18.8504i	−0.512114	−	0.624884i
$911$	−3.61054	+	2.32035i	−0.119623	+	0.0768768i	−0.599084	−	0.800686i	$-0.704468\pi$
$911$	−3.61054	+	2.32035i	−0.119623	+	0.0768768i	0.479461	+	0.877563i	$0.340832\pi$
$912$	8.74951	−	2.40007i	0.289725	−	0.0794742i
$913$	6.55315	−	0.942201i	0.216878	−	0.0311823i
$914$	0.145800	+	2.17512i	0.00482264	+	0.0719464i
$915$	−5.76280	+	7.34022i	−0.190512	+	0.242660i
$916$	−36.1057	−	16.8806i	−1.19297	−	0.557750i
$917$	−8.67308	−	29.5378i	−0.286410	−	0.975424i
$918$	26.3220	+	5.84933i	0.868756	+	0.193056i
$919$	28.8095			0.950336			0.475168	−	0.879895i	$-0.342387\pi$
$919$	28.8095			0.950336			0.475168	+	0.879895i	$0.342387\pi$
$920$	−9.46978	−	28.8153i	−0.312209	−	0.950013i
$921$	−18.4157			−0.606816
$922$	10.9857	+	2.44126i	0.361795	+	0.0803988i
$923$	−2.93997	−	10.0126i	−0.0967702	−	0.329569i
$924$	−1.57277	+	3.36398i	−0.0517402	+	0.110667i
$925$	−5.91574	+	6.22441i	−0.194508	+	0.204657i
$926$	−3.72598	−	55.5860i	−0.122443	−	1.82667i
$927$	28.2945	−	4.06813i	0.929313	−	0.133615i
$928$	−3.06836	+	7.69684i	−0.100724	+	0.252661i
$929$	11.6709	−	7.50046i	0.382911	−	0.246082i	−0.334998	−	0.942219i	$-0.608736\pi$
$929$	11.6709	−	7.50046i	0.382911	−	0.246082i	0.717909	+	0.696137i	$0.245099\pi$
$930$	8.25479	−	6.76509i	0.270685	−	0.221836i
$931$	−4.80611	−	2.19488i	−0.157514	−	0.0719342i
$932$	4.03160	−	26.3653i	0.132059	−	0.863624i
$933$	−2.64259	+	18.3796i	−0.0865145	+	0.601721i
$934$	−4.71664	−	0.358534i	−0.154333	−	0.0117316i
$935$	−5.78192	+	14.4765i	−0.189089	+	0.473432i
$936$	−19.8343	−	4.59402i	−0.648304	−	0.150160i
$937$	11.3792	+	13.1322i	0.371741	+	0.429012i	0.910539	−	0.413423i	$-0.135667\pi$
$937$	11.3792	+	13.1322i	0.371741	+	0.429012i	−0.538798	+	0.842435i	$0.681122\pi$
$938$	32.1376	−	11.8234i	1.04933	−	0.386047i
$939$	9.05587	+	7.84695i	0.295527	+	0.256076i
$940$	−15.9811	−	31.6276i	−0.521247	−	1.03158i
$941$	−9.20385	−	20.1536i	−0.300037	−	0.656990i	0.698228	−	0.715876i	$-0.253972\pi$
$941$	−9.20385	−	20.1536i	−0.300037	−	0.656990i	−0.998265	+	0.0588862i	$0.981245\pi$
$942$	−11.9408	−	9.02229i	−0.389051	−	0.293962i
$943$	−25.4212	+	46.2159i	−0.827827	+	1.50500i
$944$	−44.2043	+	27.3044i	−1.43873	+	0.888683i
$945$	−6.68772	−	19.2724i	−0.217552	−	0.626930i
$946$	1.66486	−	4.40345i	0.0541291	−	0.143169i
$947$	38.3024	+	33.1892i	1.24466	+	1.07851i	0.993880	+	0.110462i	$0.0352329\pi$
$947$	38.3024	+	33.1892i	1.24466	+	1.07851i	0.250781	+	0.968044i	$0.419313\pi$
$948$	−6.88064	−	2.08732i	−0.223473	−	0.0677929i
$949$	25.9003	−	22.4427i	0.840759	−	0.728522i
$950$	−22.1664	−	18.4086i	−0.719173	−	0.597254i
$951$	−1.06141	+	3.61485i	−0.0344187	+	0.117219i
$952$	48.0577	−	9.78145i	1.55756	−	0.317018i
$953$	−2.53055	+	17.6004i	−0.0819726	+	0.570132i	0.906898	+	0.421351i	$0.138444\pi$
$953$	−2.53055	+	17.6004i	−0.0819726	+	0.570132i	−0.988870	+	0.148781i	$0.952465\pi$
$954$	8.40847	+	15.5639i	0.272234	+	0.503900i
$955$	11.1761	−	19.3939i	0.361651	−	0.627572i
$956$	6.43294	+	47.7693i	0.208056	+	1.54497i
$957$	−0.510475	−	0.794314i	−0.0165013	−	0.0256765i
$958$	−14.2470	−	19.2102i	−0.460301	−	0.620652i
$959$	−23.4898	+	3.37733i	−0.758526	+	0.109060i
$960$	9.88420	+	1.20390i	0.319011	+	0.0388558i
$961$	−4.84921	−	3.11640i	−0.156426	−	0.100529i
$962$	1.35303	+	6.35641i	0.0436235	+	0.204939i
$963$	−16.2135	+	4.76072i	−0.522474	+	0.153412i
$964$	18.5768	+	21.8299i	0.598317	+	0.703095i
$965$	−0.947637	+	10.0098i	−0.0305055	+	0.322226i
$966$	−2.98470	−	10.4565i	−0.0960310	−	0.336432i
$967$	−9.27757			−0.298347			−0.149173	−	0.988811i	$-0.547661\pi$
$967$	−9.27757			−0.298347			−0.149173	+	0.988811i	$0.547661\pi$
$968$	27.2735	−	1.58344i	0.876603	−	0.0508938i
$969$	13.1009	−	3.84677i	0.420862	−	0.123576i
$970$	−14.4940	+	1.67920i	−0.465375	+	0.0539160i
$971$	−8.20025	+	12.7598i	−0.263159	+	0.409483i	−0.947538	−	0.319643i	$-0.896437\pi$
$971$	−8.20025	+	12.7598i	−0.263159	+	0.409483i	0.684379	+	0.729126i	$0.260073\pi$
$972$	−21.7675	−	14.2657i	−0.698194	−	0.457571i
$973$	59.2409	−	8.51755i	1.89918	−	0.273060i
$974$	7.60365	+	10.2525i	0.243637	+	0.328510i
$975$	−2.77892	−	6.90895i	−0.0889967	−	0.221264i
$976$	11.9691	+	27.4992i	0.383121	+	0.880227i
$977$	25.4489	−	55.7252i	0.814181	−	1.78281i	0.225903	−	0.974150i	$-0.427467\pi$
$977$	25.4489	−	55.7252i	0.814181	−	1.78281i	0.588278	−	0.808659i	$-0.299806\pi$
$978$	4.39979	−	2.37700i	0.140690	−	0.0760081i
$979$	0.211133	−	1.46846i	0.00674785	−	0.0469323i
$980$	−3.96731	−	4.22909i	−0.126731	−	0.135093i
$981$	−15.5966	−	4.57957i	−0.497961	−	0.146214i
$982$	4.88727	−	8.85605i	0.155959	−	0.282608i
$983$	−20.6678	+	17.9088i	−0.659202	+	0.571202i	−0.918901	−	0.394488i	$-0.870922\pi$
$983$	−20.6678	+	17.9088i	−0.659202	+	0.571202i	0.259699	+	0.965690i	$0.416377\pi$
$984$	−10.1900	−	13.9996i	−0.324846	−	0.446292i
$985$	0.639275	−	0.610537i	0.0203690	−	0.0194533i
$986$	−4.40994	+	11.6641i	−0.140441	+	0.371459i
$987$	−5.27746	−	11.5560i	−0.167984	−	0.367833i
$988$	−20.9771	+	5.95631i	−0.667372	+	0.189496i
$989$	4.77763	+	12.9310i	0.151920	+	0.411182i
$990$	6.65354	−	7.26555i	0.211463	−	0.230914i
$991$	−4.64344	+	2.12059i	−0.147504	+	0.0673627i	−0.487799	−	0.872956i	$-0.662200\pi$
$991$	−4.64344	+	2.12059i	−0.147504	+	0.0673627i	0.340295	+	0.940319i	$0.389473\pi$
$992$	−6.54022	−	33.6702i	−0.207652	−	1.06903i
$993$	−9.84206	−	8.52819i	−0.312328	−	0.270634i
$994$	−5.48522	−	14.9096i	−0.173981	−	0.472904i
$995$	10.9078	+	15.2916i	0.345801	+	0.484777i
$996$	−2.59198	−	5.81258i	−0.0821301	−	0.184179i
$997$	1.21728	+	0.357425i	0.0385515	+	0.0113198i	0.300951	−	0.953639i	$-0.402696\pi$
$997$	1.21728	+	0.357425i	0.0385515	+	0.0113198i	−0.262400	+	0.964959i	$0.584514\pi$
$998$	−10.6836	−	0.812113i	−0.338184	−	0.0257070i
$999$	−0.774139	+	5.38425i	−0.0244927	+	0.170350i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	920.2.bn.b.19.79	yes	1360
5.4	even	2	inner	920.2.bn.b.19.58	yes	1360
8.3	odd	2	inner	920.2.bn.b.19.115	yes	1360
23.17	odd	22	inner	920.2.bn.b.339.22	yes	1360
40.19	odd	2	inner	920.2.bn.b.19.22	✓	1360
115.109	odd	22	inner	920.2.bn.b.339.115	yes	1360
184.155	even	22	inner	920.2.bn.b.339.58	yes	1360
920.339	even	22	inner	920.2.bn.b.339.79	yes	1360

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
920.2.bn.b.19.22	✓	1360	40.19	odd	2	inner
920.2.bn.b.19.58	yes	1360	5.4	even	2	inner
920.2.bn.b.19.79	yes	1360	1.1	even	1	trivial
920.2.bn.b.19.115	yes	1360	8.3	odd	2	inner
920.2.bn.b.339.22	yes	1360	23.17	odd	22	inner
920.2.bn.b.339.58	yes	1360	184.155	even	22	inner
920.2.bn.b.339.79	yes	1360	920.339	even	22	inner
920.2.bn.b.339.115	yes	1360	115.109	odd	22	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:	\( N \)	\(=\)	\( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	920.bn (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.306785 - 1.38054i) q^{2} +(0.156820 + 0.534080i) q^{3} +(-1.81177 - 0.847057i) q^{4} +(1.75879 + 1.38082i) q^{5} +(0.785427 - 0.0526479i) q^{6} +(-2.85107 + 0.409922i) q^{7} +(-1.72522 + 2.24134i) q^{8} +(2.26311 - 1.45441i) q^{9} +O(q^{10})\)	\(q+(0.306785 - 1.38054i) q^{2} +(0.156820 + 0.534080i) q^{3} +(-1.81177 - 0.847057i) q^{4} +(1.75879 + 1.38082i) q^{5} +(0.785427 - 0.0526479i) q^{6} +(-2.85107 + 0.409922i) q^{7} +(-1.72522 + 2.24134i) q^{8} +(2.26311 - 1.45441i) q^{9} +(2.44585 - 2.00446i) q^{10} +(1.05342 + 0.481081i) q^{11} +(0.168275 - 1.10046i) q^{12} +(-0.380794 + 2.64848i) q^{13} +(-0.308754 + 4.06176i) q^{14} +(-0.461656 + 1.15587i) q^{15} +(2.56499 + 3.06934i) q^{16} +(3.94213 + 4.54946i) q^{17} +(-1.31358 - 3.57050i) q^{18} +(-3.07958 - 2.66847i) q^{19} +(-2.01688 - 3.99152i) q^{20} +(-0.666035 - 1.45841i) q^{21} +(0.987324 - 1.30670i) q^{22} +(0.327374 + 4.78464i) q^{23} +(-1.46761 - 0.569916i) q^{24} +(1.18666 + 4.85714i) q^{25} +(3.53951 + 1.33822i) q^{26} +(2.39369 + 2.07414i) q^{27} +(5.51269 + 1.67234i) q^{28} +(-1.10699 + 0.959211i) q^{29} +(1.45410 + 0.991938i) q^{30} +(1.70824 - 5.81775i) q^{31} +(5.02424 - 2.59943i) q^{32} +(-0.0917383 + 0.638054i) q^{33} +(7.49009 - 4.04655i) q^{34} +(-5.58045 - 3.21585i) q^{35} +(-5.33220 + 0.718072i) q^{36} +(0.928514 + 1.44480i) q^{37} +(-4.62869 + 3.43282i) q^{38} +(-1.47422 + 0.211960i) q^{39} +(-6.12919 + 1.55983i) q^{40} +(9.25236 + 5.94613i) q^{41} +(-2.21772 + 0.472066i) q^{42} +(2.75801 - 0.809826i) q^{43} +(-1.50105 - 1.76391i) q^{44} +(5.98862 + 0.566949i) q^{45} +(6.70581 + 1.01591i) q^{46} +7.92370 q^{47} +(-1.23703 + 1.85124i) q^{48} +(1.24410 - 0.365302i) q^{49} +(7.06952 - 0.148134i) q^{50} +(-1.81157 + 2.81886i) q^{51} +(2.93333 - 4.47587i) q^{52} +(-4.60248 + 0.661736i) q^{53} +(3.59778 - 2.66826i) q^{54} +(1.18846 + 2.30071i) q^{55} +(3.99994 - 7.09743i) q^{56} +(0.942236 - 2.06321i) q^{57} +(0.984618 + 1.82251i) q^{58} +(-1.84857 + 12.8571i) q^{59} +(1.81550 - 1.70312i) q^{60} +(7.19405 + 2.11236i) q^{61} +(-7.50755 - 4.14309i) q^{62} +(-5.85609 + 5.07433i) q^{63} +(-2.04725 - 7.73361i) q^{64} +(-4.32682 + 4.13231i) q^{65} +(0.852713 + 0.322394i) q^{66} +(-3.49216 - 7.64677i) q^{67} +(-3.28856 - 11.5818i) q^{68} +(-2.50404 + 0.925172i) q^{69} +(-6.15160 + 6.71744i) q^{70} +(-3.54757 + 1.62012i) q^{71} +(-0.644516 + 7.58159i) q^{72} +(-9.67976 - 8.38756i) q^{73} +(2.27945 - 0.838606i) q^{74} +(-2.40801 + 1.39547i) q^{75} +(3.31913 + 7.44322i) q^{76} +(-3.20058 - 0.939775i) q^{77} +(-0.159649 + 2.10024i) q^{78} +(0.919182 - 6.39305i) q^{79} +(0.273061 + 8.94010i) q^{80} +(2.62023 - 5.73750i) q^{81} +(11.0473 - 10.9490i) q^{82} +(4.80933 - 3.09077i) q^{83} +(-0.0286601 + 3.20647i) q^{84} +(0.651374 + 13.4449i) q^{85} +(-0.271876 - 4.05598i) q^{86} +(-0.685893 - 0.440797i) q^{87} +(-2.89565 + 1.53111i) q^{88} +(-0.360917 - 1.22917i) q^{89} +(2.61991 - 8.09358i) q^{90} -7.70710i q^{91} +(3.45974 - 8.94596i) q^{92} +3.37503 q^{93} +(2.43088 - 10.9390i) q^{94} +(-1.73164 - 8.94562i) q^{95} +(2.17621 + 2.27570i) q^{96} +(-3.88160 - 2.49455i) q^{97} +(-0.122640 - 1.82960i) q^{98} +(3.08370 - 0.443369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9}+O(q^{10}) \) 1360 * q - 14 * q^4 - 30 * q^6 + 108 * q^9	\( 1360 q - 14 q^{4} - 30 q^{6} + 108 q^{9} - 11 q^{10} - 44 q^{11} - 22 q^{14} + 2 q^{16} - 44 q^{19} - 11 q^{20} - 48 q^{24} - 38 q^{25} - 62 q^{26} - 11 q^{30} - 44 q^{34} + 142 q^{35} + 26 q^{36} - 11 q^{40} - 28 q^{41} + 110 q^{44} + 10 q^{46} + 28 q^{49} - 15 q^{50} - 44 q^{51} - 34 q^{54} - 22 q^{56} - 288 q^{59} - 11 q^{60} - 26 q^{64} - 22 q^{65} - 88 q^{66} - 14 q^{70} - 22 q^{74} - 30 q^{75} - 132 q^{76} + 88 q^{80} - 116 q^{81} - 22 q^{84} - 242 q^{86} - 44 q^{89} + 220 q^{90} - 126 q^{94} - 456 q^{96} - 44 q^{99}+O(q^{100}) \) 1360 * q - 14 * q^4 - 30 * q^6 + 108 * q^9 - 11 * q^10 - 44 * q^11 - 22 * q^14 + 2 * q^16 - 44 * q^19 - 11 * q^20 - 48 * q^24 - 38 * q^25 - 62 * q^26 - 11 * q^30 - 44 * q^34 + 142 * q^35 + 26 * q^36 - 11 * q^40 - 28 * q^41 + 110 * q^44 + 10 * q^46 + 28 * q^49 - 15 * q^50 - 44 * q^51 - 34 * q^54 - 22 * q^56 - 288 * q^59 - 11 * q^60 - 26 * q^64 - 22 * q^65 - 88 * q^66 - 14 * q^70 - 22 * q^74 - 30 * q^75 - 132 * q^76 + 88 * q^80 - 116 * q^81 - 22 * q^84 - 242 * q^86 - 44 * q^89 + 220 * q^90 - 126 * q^94 - 456 * q^96 - 44 * q^99

Introduction

L-functions

Modular forms

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