LMFDB - Embedded newform 336.2.bu.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bu (of order $12$, 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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	336.11
Dual form			336.2.bu.a.275.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.25435 - 0.653142i) q^{2} +(-1.45082 - 0.946102i) q^{3} +(1.14681 + 1.63854i) q^{4} +(3.01819 + 0.808721i) q^{5} +(1.20191 + 2.13434i) q^{6} +(-2.25133 + 1.38979i) q^{7} +(-0.368304 - 2.80435i) q^{8} +(1.20978 + 2.74525i) q^{9} +O(q^{10})$	\(q+(-1.25435 - 0.653142i) q^{2} +(-1.45082 - 0.946102i) q^{3} +(1.14681 + 1.63854i) q^{4} +(3.01819 + 0.808721i) q^{5} +(1.20191 + 2.13434i) q^{6} +(-2.25133 + 1.38979i) q^{7} +(-0.368304 - 2.80435i) q^{8} +(1.20978 + 2.74525i) q^{9} +(-3.25767 - 2.98573i) q^{10} +(-2.68256 + 0.718789i) q^{11} +(-0.113592 - 3.46224i) q^{12} +(-3.10891 + 3.10891i) q^{13} +(3.73170 - 0.272849i) q^{14} +(-3.61373 - 4.02883i) q^{15} +(-1.36965 + 3.75820i) q^{16} +(-1.92803 - 1.11315i) q^{17} +(0.275544 - 4.23368i) q^{18} +(-0.866610 + 3.23423i) q^{19} +(2.13616 + 5.87288i) q^{20} +(4.58117 + 0.113648i) q^{21} +(3.83435 + 0.850475i) q^{22} +(-2.05408 + 1.18592i) q^{23} +(-2.11885 + 4.41707i) q^{24} +(4.12531 + 2.38175i) q^{25} +(5.93023 - 1.86911i) q^{26} +(0.842106 - 5.12746i) q^{27} +(-4.85908 - 2.09508i) q^{28} +(2.46907 + 2.46907i) q^{29} +(1.90150 + 7.41385i) q^{30} +(8.42138 + 4.86209i) q^{31} +(4.17267 - 3.81954i) q^{32} +(4.57197 + 1.49514i) q^{33} +(1.69139 + 2.65556i) q^{34} +(-7.91889 + 2.37395i) q^{35} +(-3.11083 + 5.13057i) q^{36} +(-2.13616 + 7.97226i) q^{37} +(3.19945 - 3.49085i) q^{38} +(7.45182 - 1.56914i) q^{39} +(1.15632 - 8.76190i) q^{40} -2.74852 q^{41} +(-5.67218 - 3.13471i) q^{42} +(-0.0399162 + 0.0399162i) q^{43} +(-4.25415 - 3.57117i) q^{44} +(1.43121 + 9.26407i) q^{45} +(3.35112 - 0.145962i) q^{46} +(4.58024 + 7.93320i) q^{47} +(5.54276 - 4.15666i) q^{48} +(3.13698 - 6.25775i) q^{49} +(-3.61898 - 5.68197i) q^{50} +(1.74408 + 3.43909i) q^{51} +(-8.65940 - 1.52875i) q^{52} +(-3.51089 - 13.1028i) q^{53} +(-4.40526 + 5.88164i) q^{54} -8.67777 q^{55} +(4.72662 + 5.80164i) q^{56} +(4.31721 - 3.87240i) q^{57} +(-1.48443 - 4.70974i) q^{58} +(-2.82432 + 0.756774i) q^{59} +(2.45714 - 10.5416i) q^{60} +(-7.34088 - 1.96698i) q^{61} +(-7.38777 - 11.5991i) q^{62} +(-6.53895 - 4.49913i) q^{63} +(-7.72870 + 2.06571i) q^{64} +(-11.8975 + 6.86902i) q^{65} +(-4.75833 - 4.86158i) q^{66} +(-0.935931 + 0.250782i) q^{67} +(-0.387141 - 4.43572i) q^{68} +(4.10212 + 0.222801i) q^{69} +(11.4836 + 2.19439i) q^{70} -6.75090i q^{71} +(7.25307 - 4.40374i) q^{72} +(3.74567 + 2.16256i) q^{73} +(7.88652 - 8.60483i) q^{74} +(-3.73172 - 7.35845i) q^{75} +(-6.29327 + 2.28907i) q^{76} +(5.04036 - 5.34642i) q^{77} +(-10.3721 - 2.89884i) q^{78} +(10.6278 - 6.13595i) q^{79} +(-7.17320 + 10.2353i) q^{80} +(-6.07285 + 6.64233i) q^{81} +(3.44762 + 1.79517i) q^{82} +(-5.22779 + 5.22779i) q^{83} +(5.06751 + 7.63677i) q^{84} +(-4.91892 - 4.91892i) q^{85} +(0.0761400 - 0.0239981i) q^{86} +(-1.24620 - 5.91817i) q^{87} +(3.00373 + 7.25808i) q^{88} +(5.66221 + 9.80724i) q^{89} +(4.25551 - 12.5552i) q^{90} +(2.67845 - 11.3199i) q^{91} +(-4.29883 - 2.00567i) q^{92} +(-7.61792 - 15.0215i) q^{93} +(-0.563731 - 12.9426i) q^{94} +(-5.23119 + 9.06068i) q^{95} +(-9.66748 + 1.59371i) q^{96} +5.41288 q^{97} +(-8.02208 + 5.80054i) q^{98} +(-5.21857 - 6.49473i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.25435	−	0.653142i	−0.886963	−	0.461841i
$2$	−1.25435	−	0.653142i	−0.886963	−	0.461841i
$3$	−1.45082	−	0.946102i	−0.837634	−	0.546232i
$3$	−1.45082	−	0.946102i	−0.837634	−	0.546232i
$4$	1.14681	+	1.63854i	0.573405	+	0.819272i
$5$	3.01819	+	0.808721i	1.34977	+	0.361671i	0.860052	−	0.510207i	$-0.170431\pi$
$5$	3.01819	+	0.808721i	1.34977	+	0.361671i	0.489723	+	0.871878i	$0.337098\pi$
$6$	1.20191	+	2.13434i	0.490677	+	0.871341i
$7$	−2.25133	+	1.38979i	−0.850923	+	0.525291i
$7$	−2.25133	+	1.38979i	−0.850923	+	0.525291i
$8$	−0.368304	−	2.80435i	−0.130215	−	0.991486i
$9$	1.20978	+	2.74525i	0.403261	+	0.915085i
$10$	−3.25767	−	2.98573i	−1.03017	−	0.944171i
$11$	−2.68256	+	0.718789i	−0.808822	+	0.216723i	−0.639454	−	0.768830i	$-0.720839\pi$
$11$	−2.68256	+	0.718789i	−0.808822	+	0.216723i	−0.169368	+	0.985553i	$0.554173\pi$
$12$	−0.113592	−	3.46224i	−0.0327911	−	0.999462i
$13$	−3.10891	+	3.10891i	−0.862255	+	0.862255i	−0.991600	−	0.129345i	$-0.958713\pi$
$13$	−3.10891	+	3.10891i	−0.862255	+	0.862255i	0.129345	+	0.991600i	$0.458713\pi$
$14$	3.73170	−	0.272849i	0.997338	−	0.0729219i
$15$	−3.61373	−	4.02883i	−0.933061	−	1.04024i
$16$	−1.36965	+	3.75820i	−0.342413	+	0.939550i
$17$	−1.92803	−	1.11315i	−0.467615	−	0.269978i	0.247626	−	0.968856i	$-0.420350\pi$
$17$	−1.92803	−	1.11315i	−0.467615	−	0.269978i	−0.715241	+	0.698878i	$0.753683\pi$
$18$	0.275544	−	4.23368i	0.0649464	−	0.997889i
$19$	−0.866610	+	3.23423i	−0.198814	+	0.741984i	0.792432	+	0.609960i	$0.208814\pi$
$19$	−0.866610	+	3.23423i	−0.198814	+	0.741984i	−0.991246	+	0.132024i	$0.957852\pi$
$20$	2.13616	+	5.87288i	0.477661	+	1.31322i
$21$	4.58117	+	0.113648i	0.999692	+	0.0247999i
$22$	3.83435	+	0.850475i	0.817486	+	0.181322i
$23$	−2.05408	+	1.18592i	−0.428306	+	0.247282i	−0.698625	−	0.715488i	$-0.746204\pi$
$23$	−2.05408	+	1.18592i	−0.428306	+	0.247282i	0.270319	+	0.962771i	$0.412871\pi$
$24$	−2.11885	+	4.41707i	−0.432508	+	0.901630i
$25$	4.12531	+	2.38175i	0.825061	+	0.476349i
$26$	5.93023	−	1.86911i	1.16301	−	0.366563i
$27$	0.842106	−	5.12746i	0.162063	−	0.986780i
$28$	−4.85908	−	2.09508i	−0.918280	−	0.395933i
$29$	2.46907	+	2.46907i	0.458494	+	0.458494i	0.898161	−	0.439667i	$-0.144903\pi$
$29$	2.46907	+	2.46907i	0.458494	+	0.458494i	−0.439667	+	0.898161i	$0.644903\pi$
$30$	1.90150	+	7.41385i	0.347165	+	1.35358i
$31$	8.42138	+	4.86209i	1.51253	+	0.873257i	0.999893	+	0.0146489i	$0.00466306\pi$
$31$	8.42138	+	4.86209i	1.51253	+	0.873257i	0.512633	+	0.858608i	$0.328670\pi$
$32$	4.17267	−	3.81954i	0.737630	−	0.675205i
$33$	4.57197	+	1.49514i	0.795878	+	0.260270i
$34$	1.69139	+	2.65556i	0.290070	+	0.455424i
$35$	−7.91889	+	2.37395i	−1.33854	+	0.401270i
$36$	−3.11083	+	5.13057i	−0.518471	+	0.855095i
$37$	−2.13616	+	7.97226i	−0.351183	+	1.31063i	0.534038	+	0.845461i	$0.320674\pi$
$37$	−2.13616	+	7.97226i	−0.351183	+	1.31063i	−0.885221	+	0.465171i	$0.845993\pi$
$38$	3.19945	−	3.49085i	0.519019	−	0.566291i
$39$	7.45182	−	1.56914i	1.19325	−	0.251263i
$40$	1.15632	−	8.76190i	0.182830	−	1.38538i
$41$	−2.74852			−0.429246			−0.214623	−	0.976697i	$-0.568852\pi$
$41$	−2.74852			−0.429246			−0.214623	+	0.976697i	$0.568852\pi$
$42$	−5.67218	−	3.13471i	−0.875236	−	0.483696i
$43$	−0.0399162	+	0.0399162i	−0.00608716	+	0.00608716i	−0.710144	−	0.704057i	$-0.751370\pi$
$43$	−0.0399162	+	0.0399162i	−0.00608716	+	0.00608716i	0.704057	+	0.710144i	$0.251370\pi$
$44$	−4.25415	−	3.57117i	−0.641338	−	0.538375i
$45$	1.43121	+	9.26407i	0.213352	+	1.38101i
$46$	3.35112	−	0.145962i	0.494096	−	0.0215210i
$47$	4.58024	+	7.93320i	0.668096	+	1.15718i	0.978436	+	0.206551i	$0.0662239\pi$
$47$	4.58024	+	7.93320i	0.668096	+	1.15718i	−0.310340	+	0.950626i	$0.600443\pi$
$48$	5.54276	−	4.15666i	0.800029	−	0.599962i
$49$	3.13698	−	6.25775i	0.448139	−	0.893964i
$50$	−3.61898	−	5.68197i	−0.511801	−	0.803551i
$51$	1.74408	+	3.43909i	0.244220	+	0.481569i
$52$	−8.65940	−	1.52875i	−1.20084	−	0.212000i
$53$	−3.51089	−	13.1028i	−0.482257	−	1.79981i	−0.592105	−	0.805861i	$-0.701703\pi$
$53$	−3.51089	−	13.1028i	−0.482257	−	1.79981i	0.109847	−	0.993948i	$-0.464964\pi$
$54$	−4.40526	+	5.88164i	−0.599480	+	0.800390i
$55$	−8.67777			−1.17011
$56$	4.72662	+	5.80164i	0.631621	+	0.775277i
$57$	4.31721	−	3.87240i	0.571829	−	0.512912i
$58$	−1.48443	−	4.70974i	−0.194916	−	0.618419i
$59$	−2.82432	+	0.756774i	−0.367695	+	0.0985236i	−0.437935	−	0.899007i	$-0.644290\pi$
$59$	−2.82432	+	0.756774i	−0.367695	+	0.0985236i	0.0702402	+	0.997530i	$0.477623\pi$
$60$	2.45714	−	10.5416i	0.317216	−	1.36091i
$61$	−7.34088	−	1.96698i	−0.939904	−	0.251847i	−0.243831	−	0.969818i	$-0.578404\pi$
$61$	−7.34088	−	1.96698i	−0.939904	−	0.251847i	−0.696073	+	0.717971i	$0.745071\pi$
$62$	−7.38777	−	11.5991i	−0.938247	−	1.47309i
$63$	−6.53895	−	4.49913i	−0.823830	−	0.566837i
$64$	−7.72870	+	2.06571i	−0.966088	+	0.258213i
$65$	−11.8975	+	6.86902i	−1.47570	+	0.851998i
$66$	−4.75833	−	4.86158i	−0.585710	−	0.598419i
$67$	−0.935931	+	0.250782i	−0.114342	+	0.0306379i	−0.315536	−	0.948913i	$-0.602184\pi$
$67$	−0.935931	+	0.250782i	−0.114342	+	0.0306379i	0.201194	+	0.979551i	$0.435518\pi$
$68$	−0.387141	−	4.43572i	−0.0469478	−	0.537911i
$69$	4.10212	+	0.222801i	0.493837	+	0.0268221i
$70$	11.4836	+	2.19439i	1.37256	+	0.262280i
$71$		−	6.75090i		−	0.801184i	−0.916257	−	0.400592i	$-0.868804\pi$
$71$		−	6.75090i		−	0.801184i	0.916257	−	0.400592i	$-0.131196\pi$
$72$	7.25307	−	4.40374i	0.854783	−	0.518986i
$73$	3.74567	+	2.16256i	0.438397	+	0.253109i	0.702918	−	0.711271i	$-0.251880\pi$
$73$	3.74567	+	2.16256i	0.438397	+	0.253109i	−0.264520	+	0.964380i	$0.585214\pi$
$74$	7.88652	−	8.60483i	0.916790	−	1.00029i
$75$	−3.73172	−	7.35845i	−0.430902	−	0.849681i
$76$	−6.29327	+	2.28907i	−0.721888	+	0.262575i
$77$	5.04036	−	5.34642i	0.574402	−	0.609281i
$78$	−10.3721	−	2.89884i	−1.17441	−	0.328229i
$79$	10.6278	−	6.13595i	1.19572	−	0.690349i	0.236121	−	0.971724i	$-0.424124\pi$
$79$	10.6278	−	6.13595i	1.19572	−	0.690349i	0.959598	+	0.281375i	$0.0907905\pi$
$80$	−7.17320	+	10.2353i	−0.801988	+	1.14434i
$81$	−6.07285	+	6.64233i	−0.674761	+	0.738037i
$82$	3.44762	+	1.79517i	0.380725	+	0.198244i
$83$	−5.22779	+	5.22779i	−0.573824	+	0.573824i	−0.933195	−	0.359371i	$-0.882991\pi$
$83$	−5.22779	+	5.22779i	−0.573824	+	0.573824i	0.359371	+	0.933195i	$0.382991\pi$
$84$	5.06751	+	7.63677i	0.552911	+	0.833240i
$85$	−4.91892	−	4.91892i	−0.533532	−	0.533532i
$86$	0.0761400	−	0.0239981i	0.00821038	−	0.00258778i
$87$	−1.24620	−	5.91817i	−0.133606	−	0.634495i
$88$	3.00373	+	7.25808i	0.320199	+	0.773714i
$89$	5.66221	+	9.80724i	0.600193	+	1.03957i	0.992791	+	0.119855i	$0.0382430\pi$
$89$	5.66221	+	9.80724i	0.600193	+	1.03957i	−0.392598	+	0.919710i	$0.628424\pi$
$90$	4.25551	−	12.5552i	0.448571	−	1.32344i
$91$	2.67845	−	11.3199i	0.280778	−	1.18665i
$92$	−4.29883	−	2.00567i	−0.448184	−	0.209106i
$93$	−7.61792	−	15.0215i	−0.789942	−	1.55766i
$94$	−0.563731	−	12.9426i	−0.0581444	−	1.33493i
$95$	−5.23119	+	9.06068i	−0.536708	+	0.929606i
$96$	−9.66748	+	1.59371i	−0.986683	+	0.162657i
$97$	5.41288			0.549594			0.274797	−	0.961502i	$-0.411389\pi$
$97$	5.41288			0.549594			0.274797	+	0.961502i	$0.411389\pi$
$98$	−8.02208	+	5.80054i	−0.810352	+	0.585943i
$99$	−5.21857	−	6.49473i	−0.524486	−	0.652744i
$100$	0.828347	+	9.49091i	0.0828347	+	0.949091i
$101$	3.14666	+	11.7435i	0.313105	+	1.16852i	0.925741	+	0.378158i	$0.123442\pi$
$101$	3.14666	+	11.7435i	0.313105	+	1.16852i	−0.612636	+	0.790365i	$0.709891\pi$
$102$	0.0585220	−	5.45297i	0.00579454	−	0.539924i
$103$	5.22372	+	9.04775i	0.514708	+	0.891501i	0.999854	+	0.0170677i	$0.00543308\pi$
$103$	5.22372	+	9.04775i	0.514708	+	0.891501i	−0.485146	+	0.874433i	$0.661234\pi$
$104$	9.86347	+	7.57342i	0.967193	+	0.742635i
$105$	13.7349	+	4.04790i	1.34039	+	0.395034i
$106$	−4.15410	+	18.7287i	−0.403482	+	1.81909i
$107$	2.44925	−	9.14073i	0.236778	−	0.883668i	−0.740561	−	0.671989i	$-0.765440\pi$
$107$	2.44925	−	9.14073i	0.236778	−	0.883668i	0.977339	−	0.211679i	$-0.0678931\pi$
$108$	9.36731	−	4.50040i	0.901369	−	0.433051i
$109$	−2.34963	−	8.76895i	−0.225054	−	0.839913i	−0.982383	−	0.186879i	$-0.940163\pi$
$109$	−2.34963	−	8.76895i	−0.225054	−	0.839913i	0.757329	−	0.653034i	$-0.226504\pi$
$110$	10.8850	+	5.66782i	1.03784	+	0.540405i
$111$	10.6418	−	9.54533i	1.01007	−	0.906002i
$112$	−2.13956	−	10.3645i	−0.202170	−	0.979351i
$113$			11.8997i			1.11943i	0.828687	+	0.559713i	$0.189089\pi$
$113$			11.8997i			1.11943i	−0.828687	+	0.559713i	$0.810911\pi$
$114$	−7.94454	+	2.03761i	−0.744075	+	0.190840i
$115$	−7.15869	+	1.91816i	−0.667551	+	0.178870i
$116$	−1.21412	+	6.87723i	−0.112729	+	0.638535i
$117$	−12.2958	−	4.77363i	−1.13675	−	0.441323i
$118$	4.03698	+	0.895419i	0.371634	+	0.0824300i
$119$	5.88766	−	0.173489i	0.539721	−	0.0159037i
$120$	−9.96726	+	11.6180i	−0.909883	+	1.06057i
$121$	−2.84682	+	1.64361i	−0.258802	+	0.149419i
$122$	7.92335	+	7.26194i	0.717347	+	0.657465i
$123$	3.98762	+	2.60038i	0.359551	+	0.234468i
$124$	1.69099	+	19.3747i	0.151855	+	1.73990i
$125$	−0.522556	−	0.522556i	−0.0467388	−	0.0467388i
$126$	5.26358	+	9.91437i	0.468917	+	0.883242i
$127$		−	13.5000i		−	1.19793i	−0.800775	−	0.598965i	$-0.795579\pi$
$127$		−	13.5000i		−	1.19793i	0.800775	−	0.598965i	$-0.204421\pi$
$128$	11.0437	+	2.45682i	0.976137	+	0.217154i
$129$	0.0956761	−	0.0201466i	0.00842381	−	0.00177381i
$130$	19.4101	−	0.845432i	1.70238	−	0.0741493i
$131$	−12.9526	−	3.47063i	−1.13167	−	0.303230i	−0.356073	−	0.934458i	$-0.615885\pi$
$131$	−12.9526	−	3.47063i	−1.13167	−	0.303230i	−0.775597	+	0.631228i	$0.782551\pi$
$132$	2.79334	+	9.20601i	0.243129	+	0.801280i
$133$	−2.54387	−	8.48573i	−0.220582	−	0.735806i
$134$	1.33778	+	0.296726i	0.115567	+	0.0256333i
$135$	6.68832	−	14.7946i	0.575639	−	1.27332i
$136$	−2.41155	+	5.81683i	−0.206788	+	0.498789i
$137$	8.41690	−	14.5785i	0.719104	−	1.24553i	−0.242251	−	0.970214i	$-0.577886\pi$
$137$	8.41690	−	14.5785i	0.719104	−	1.24553i	0.961355	−	0.275312i	$-0.0887810\pi$
$138$	−4.99999	−	2.95874i	−0.425627	−	0.251864i
$139$	−10.6369	+	10.6369i	−0.902206	+	0.902206i	−0.995627	−	0.0934204i	$-0.970220\pi$
$139$	−10.6369	+	10.6369i	−0.902206	+	0.902206i	0.0934204	+	0.995627i	$0.470220\pi$
$140$	−12.9713	−	10.2530i	−1.09627	−	0.866535i
$141$	0.860496	−	15.8431i	0.0724668	−	1.33423i
$142$	−4.40930	+	8.46802i	−0.370020	+	0.710620i
$143$	6.10517	−	10.5745i	0.510540	−	0.884281i
$144$	−11.9742	+	0.786563i	−0.997849	+	0.0655469i
$145$	5.45533	+	9.44890i	0.453040	+	0.784688i
$146$	−3.28594	−	5.15908i	−0.271946	−	0.426968i
$147$	−10.4717	+	6.11099i	−0.863688	+	0.504026i
$148$	−15.5127	+	5.64248i	−1.27513	+	0.463809i
$149$	3.00173	+	0.804311i	0.245911	+	0.0658917i	0.379669	−	0.925122i	$-0.376038\pi$
$149$	3.00173	+	0.804311i	0.245911	+	0.0658917i	−0.133758	+	0.991014i	$0.542704\pi$
$150$	−0.125217	+	11.6675i	−0.0102239	+	0.952644i
$151$	7.32201	−	12.6821i	0.595856	−	1.03205i	−0.397569	−	0.917572i	$-0.630146\pi$
$151$	7.32201	−	12.6821i	0.595856	−	1.03205i	0.993425	−	0.114481i	$-0.0365206\pi$
$152$	9.38908	+	1.23909i	0.761555	+	0.100504i
$153$	0.723376	−	6.63959i	0.0584815	−	0.536779i
$154$	−9.81437	+	3.41424i	−0.790864	+	0.275127i
$155$	21.4853	+	21.4853i	1.72574	+	1.72574i
$156$	11.1169	+	10.4106i	0.890066	+	0.833517i
$157$	−4.60361	−	17.1809i	−0.367408	−	1.37118i	−0.864127	−	0.503274i	$-0.832129\pi$
$157$	−4.60361	−	17.1809i	−0.367408	−	1.37118i	0.496719	−	0.867911i	$-0.334538\pi$
$158$	−17.3387	+	0.755206i	−1.37939	+	0.0600810i
$159$	−7.30291	+	22.3315i	−0.579158	+	1.77101i
$160$	15.6828	−	8.15355i	1.23984	−	0.644595i
$161$	2.97623	−	5.52465i	0.234560	−	0.435403i
$162$	11.9559	−	4.36540i	0.939343	−	0.342978i
$163$	−1.17047	+	4.36825i	−0.0916782	+	0.342148i	−0.996495	−	0.0836536i	$-0.973341\pi$
$163$	−1.17047	+	4.36825i	−0.0916782	+	0.342148i	0.904817	+	0.425801i	$0.140008\pi$
$164$	−3.15203	−	4.50357i	−0.246132	−	0.351669i
$165$	12.5899	+	8.21005i	0.980124	+	0.639151i
$166$	9.97198	−	3.14301i	0.773976	−	0.243945i
$167$		−	13.9192i		−	1.07710i	−0.842594	−	0.538550i	$-0.818972\pi$
$167$		−	13.9192i		−	1.07710i	0.842594	−	0.538550i	$-0.181028\pi$
$168$	−1.36856	−	12.8890i	−0.105586	−	0.994410i
$169$		−	6.33058i		−	0.486968i
$170$	2.95732	+	9.38283i	0.226816	+	0.719630i
$171$	−9.92720	+	1.53366i	−0.759152	+	0.117282i
$172$	−0.111181	−	0.0196281i	−0.00847745	−	0.00149663i
$173$	−2.00856	+	7.49603i	−0.152708	+	0.569913i	0.846583	+	0.532257i	$0.178656\pi$
$173$	−2.00856	+	7.49603i	−0.152708	+	0.569913i	−0.999291	+	0.0376562i	$0.988011\pi$
$174$	−2.30224	+	8.23743i	−0.174532	+	0.624478i
$175$	−12.5975	+	0.371205i	−0.952285	+	0.0280605i
$176$	0.972818	−	11.0661i	0.0733289	−	0.834137i
$177$	4.81358	+	1.57415i	0.361811	+	0.118320i
$178$	−0.696899	−	16.0000i	−0.0522348	−	1.19925i
$179$	0.0865733	+	0.323096i	0.00647079	+	0.0241493i	0.969086	−	0.246724i	$-0.0793542\pi$
$179$	0.0865733	+	0.323096i	0.00647079	+	0.0241493i	−0.962615	+	0.270873i	$0.912687\pi$
$180$	−13.5383	+	12.9692i	−1.00908	+	0.966670i
$181$	9.59673	+	9.59673i	0.713320	+	0.713320i	0.967228	−	0.253909i	$-0.0817162\pi$
$181$	9.59673	+	9.59673i	0.713320	+	0.713320i	−0.253909	+	0.967228i	$0.581716\pi$
$182$	−10.7532	+	12.4497i	−0.797082	+	0.922837i
$183$	8.78937	+	9.79897i	0.649729	+	0.724361i
$184$	4.08227	+	5.32357i	0.300949	+	0.392459i
$185$	−12.8947	+	22.3342i	−0.948035	+	1.64205i
$186$	−0.255617	+	23.8179i	−0.0187427	+	1.74641i
$187$	5.97216	+	1.60024i	0.436728	+	0.117021i
$188$	−7.74624	+	16.6028i	−0.564952	+	1.21088i
$189$	5.23023	+	12.7140i	0.380443	+	0.924804i
$190$	12.4797	−	7.94860i	0.905371	−	0.576652i
$191$	−3.67629	−	6.36753i	−0.266007	−	0.460738i	0.701820	−	0.712355i	$-0.252371\pi$
$191$	−3.67629	−	6.36753i	−0.266007	−	0.460738i	−0.967827	+	0.251616i	$0.919038\pi$
$192$	13.1674	+	4.31516i	0.950272	+	0.311420i
$193$	−5.30202	+	9.18338i	−0.381648	+	0.661034i	−0.991298	−	0.131637i	$-0.957977\pi$
$193$	−5.30202	+	9.18338i	−0.381648	+	0.661034i	0.609650	+	0.792671i	$0.291310\pi$
$194$	−6.78967	−	3.53538i	−0.487470	−	0.253825i
$195$	23.7600	+	1.29049i	1.70149	+	0.0924142i
$196$	13.8511	−	2.03638i	0.989365	−	0.145455i
$197$	3.37916	−	3.37916i	0.240755	−	0.240755i	−0.576407	−	0.817163i	$-0.695546\pi$
$197$	3.37916	−	3.37916i	0.240755	−	0.240755i	0.817163	+	0.576407i	$0.195546\pi$
$198$	2.30396	+	11.5552i	0.163735	+	0.821189i
$199$	−5.04389	+	8.73628i	−0.357552	+	0.619298i	−0.987551	−	0.157297i	$-0.949722\pi$
$199$	−5.04389	+	8.73628i	−0.357552	+	0.619298i	0.629999	+	0.776596i	$0.283055\pi$
$200$	5.15987	−	12.4460i	0.364858	−	0.880064i
$201$	1.59514	+	0.521645i	0.112512	+	0.0367940i
$202$	3.72315	−	16.7857i	0.261960	−	1.18104i
$203$	−8.99017	−	2.12720i	−0.630986	−	0.149300i
$204$	−3.63497	+	6.80173i	−0.254499	+	0.476217i
$205$	−8.29554	−	2.22278i	−0.579386	−	0.155246i
$206$	−0.642929	−	14.7609i	−0.0447950	−	1.02844i
$207$	−5.74066	−	4.20426i	−0.399003	−	0.292217i
$208$	−7.42576	−	15.9420i	−0.514884	−	1.10538i
$209$		−	9.29893i		−	0.643220i
$210$	−14.5846	−	14.0483i	−1.00643	−	0.969428i
$211$	15.9436	+	15.9436i	1.09760	+	1.09760i	0.994690	+	0.102914i	$0.0328167\pi$
$211$	15.9436	+	15.9436i	1.09760	+	1.09760i	0.102914	+	0.994690i	$0.467183\pi$
$212$	17.4432	−	20.7792i	1.19800	−	1.42712i
$213$	−6.38703	+	9.79437i	−0.437632	+	0.671099i
$214$	−9.04243	+	9.86601i	−0.618128	+	0.674426i
$215$	−0.152756	+	0.0881935i	−0.0104178	+	0.00601475i
$216$	−14.6893	−	0.473089i	−0.999482	−	0.0321896i
$217$	−25.7166	+	0.757778i	−1.74576	+	0.0514413i
$218$	−2.78010	+	12.5340i	−0.188292	+	0.848911i
$219$	−3.38830	−	6.68128i	−0.228960	−	0.451479i
$220$	−9.95175	−	14.2189i	−0.670947	−	0.958638i
$221$	9.45472	−	2.53338i	0.635993	−	0.170414i
$222$	−19.5830	+	5.02264i	−1.31433	+	0.337097i
$223$			24.1112i			1.61461i	0.590136	+	0.807304i	$0.299074\pi$
$223$			24.1112i			1.61461i	−0.590136	+	0.807304i	$0.700926\pi$
$224$	−4.08571	+	14.3982i	−0.272988	+	0.962018i
$225$	−1.54777	+	14.2064i	−0.103185	+	0.947094i
$226$	7.77217	−	14.9264i	0.516997	−	0.992889i
$227$	0.141280	+	0.527264i	0.00937708	+	0.0349957i	0.970456	−	0.241279i	$-0.0775668\pi$
$227$	0.141280	+	0.527264i	0.00937708	+	0.0349957i	−0.961079	+	0.276274i	$0.910900\pi$
$228$	11.2961	+	2.63303i	0.748104	+	0.174377i
$229$	4.61286	−	17.2154i	0.304826	−	1.13763i	−0.628268	−	0.777997i	$-0.716236\pi$
$229$	4.61286	−	17.2154i	0.304826	−	1.13763i	0.933095	−	0.359631i	$-0.117097\pi$
$230$	10.2324	+	2.26958i	0.674702	+	0.149652i
$231$	−12.3709	+	2.98803i	−0.813948	+	0.196598i
$232$	6.01475	−	7.83349i	0.394888	−	0.514294i
$233$	−0.676194	−	1.17120i	−0.0442990	−	0.0767280i	0.843026	−	0.537873i	$-0.180772\pi$
$233$	−0.676194	−	1.17120i	−0.0442990	−	0.0767280i	−0.887325	+	0.461145i	$0.847439\pi$
$234$	12.3055	+	14.0188i	0.804434	+	0.916435i
$235$	7.40827	+	27.6480i	0.483262	+	1.80356i
$236$	−4.47897	−	3.75989i	−0.291556	−	0.244748i
$237$	−21.2243	−	1.15277i	−1.37867	−	0.0748805i
$238$	−7.49853	−	3.62787i	−0.486058	−	0.235160i
$239$	6.61616			0.427964			0.213982	−	0.976838i	$-0.431357\pi$
$239$	6.61616			0.427964			0.213982	+	0.976838i	$0.431357\pi$
$240$	20.0907	−	8.06302i	1.29685	−	0.520466i
$241$	−1.47282	+	2.55100i	−0.0948728	+	0.164325i	−0.909556	−	0.415582i	$-0.863578\pi$
$241$	−1.47282	+	2.55100i	−0.0948728	+	0.164325i	0.814683	+	0.579907i	$0.196911\pi$
$242$	4.64444	−	0.202294i	0.298556	−	0.0130040i
$243$	15.0950	−	3.89132i	0.968342	−	0.249629i
$244$	−5.19561	−	14.2841i	−0.332615	−	0.914447i
$245$	14.5288	−	16.3501i	0.928208	−	1.04457i
$246$	−3.30347	−	5.86628i	−0.210622	−	0.374020i
$247$	−7.36072	−	12.7491i	−0.468351	−	0.811208i
$248$	10.5333	−	25.4072i	0.668868	−	1.61336i
$249$	12.5306	−	2.63858i	0.794095	−	0.167213i
$250$	0.314167	+	0.996773i	0.0198697	+	0.0630415i
$251$	7.36172	+	7.36172i	0.464668	+	0.464668i	0.900182	−	0.435514i	$-0.143433\pi$
$251$	7.36172	+	7.36172i	0.464668	+	0.464668i	−0.435514	+	0.900182i	$0.643433\pi$
$252$	−0.126908	−	15.8740i	−0.00799443	−	0.999968i
$253$	4.65776	−	4.65776i	0.292831	−	0.292831i
$254$	−8.81742	+	16.9338i	−0.553254	+	1.06252i
$255$	2.48269	+	11.7903i	0.155472	+	0.738337i
$256$	−12.2481	−	10.2948i	−0.765507	−	0.643428i
$257$	10.0882	−	5.82445i	0.629287	−	0.363319i	−0.151189	−	0.988505i	$-0.548310\pi$
$257$	10.0882	−	5.82445i	0.629287	−	0.363319i	0.780476	+	0.625186i	$0.214977\pi$
$258$	−0.133170	−	0.0372191i	−0.00829083	−	0.00231716i
$259$	−6.27055	−	20.9170i	−0.389633	−	1.29972i
$260$	−24.8994	−	11.6171i	−1.54419	−	0.720462i
$261$	−3.79118	+	9.76526i	−0.234668	+	0.604454i
$262$	13.9803	+	12.8133i	0.863705	+	0.791606i
$263$	−0.210867	−	0.121744i	−0.0130026	−	0.00750705i	0.493485	−	0.869755i	$-0.335723\pi$
$263$	−0.210867	−	0.121744i	−0.0130026	−	0.00750705i	−0.506487	+	0.862247i	$0.669056\pi$
$264$	2.50900	−	13.3720i	0.154418	−	0.822992i
$265$		−	42.3861i		−	2.60376i
$266$	−2.35147	+	12.3056i	−0.144178	+	0.754506i
$267$	1.06377	−	19.5856i	0.0651015	−	1.19862i
$268$	−1.48425	−	1.24596i	−0.0906651	−	0.0761094i
$269$	5.99212	−	1.60558i	0.365346	−	0.0978941i	−0.0714757	−	0.997442i	$-0.522771\pi$
$269$	5.99212	−	1.60558i	0.365346	−	0.0978941i	0.436821	+	0.899548i	$0.356104\pi$
$270$	−18.0525	+	14.1893i	−1.09864	+	0.863531i
$271$	18.9956	−	10.9671i	1.15390	−	0.666206i	0.204068	−	0.978957i	$-0.434584\pi$
$271$	18.9956	−	10.9671i	1.15390	−	0.666206i	0.949835	+	0.312750i	$0.101250\pi$
$272$	6.82415	−	5.72128i	0.413775	−	0.346904i
$273$	−14.5957	+	13.8891i	−0.883374	+	0.840606i
$274$	−20.0796	+	12.7892i	−1.21305	+	0.772622i
$275$	−12.7783	−	3.42395i	−0.770563	−	0.206472i
$276$	4.33928	+	6.97701i	0.261194	+	0.419967i
$277$	16.9780	−	4.54923i	1.02011	−	0.273337i	0.290261	−	0.956948i	$-0.406258\pi$
$277$	16.9780	−	4.54923i	1.02011	−	0.273337i	0.729847	+	0.683611i	$0.239591\pi$
$278$	20.2898	−	6.39501i	1.21690	−	0.383547i
$279$	−3.15962	+	29.0009i	−0.189161	+	1.73624i
$280$	9.57393	+	21.3330i	0.572152	+	1.27489i
$281$	−33.0569			−1.97201			−0.986004	−	0.166720i	$-0.946682\pi$
$281$	−33.0569			−1.97201			−0.986004	+	0.166720i	$0.946682\pi$
$282$	−11.4271	+	19.3108i	−0.680476	+	1.14994i
$283$	2.20459	+	8.22764i	0.131049	+	0.489083i	0.999983	−	0.00584605i	$-0.00186087\pi$
$283$	2.20459	+	8.22764i	0.131049	+	0.489083i	−0.868934	+	0.494929i	$0.835194\pi$
$284$	11.0616	−	7.74200i	0.656388	−	0.459403i
$285$	16.1619	−	8.19622i	0.957346	−	0.485502i
$286$	−14.5647	+	9.27658i	−0.861227	+	0.548536i
$287$	6.18782	−	3.81986i	0.365256	−	0.225479i
$288$	15.5336	+	6.83422i	0.915327	+	0.402710i
$289$	−6.02181	−	10.4301i	−0.354224	−	0.613534i
$290$	−0.671435	−	15.4154i	−0.0394280	−	0.905222i
$291$	−7.85314	−	5.12113i	−0.460359	−	0.300206i
$292$	0.752118	+	8.61749i	0.0440144	+	0.504301i
$293$	−8.13705	+	8.13705i	−0.475372	+	0.475372i	−0.903648	−	0.428276i	$-0.859121\pi$
$293$	−8.13705	+	8.13705i	−0.475372	+	0.475372i	0.428276	+	0.903648i	$0.359121\pi$
$294$	17.1265	−	0.825867i	0.998839	−	0.0481656i
$295$	−9.13635			−0.531939
$296$	23.1437	+	3.05431i	1.34520	+	0.177528i
$297$	1.42657	+	14.3600i	0.0827778	+	0.833252i
$298$	−3.23990	−	2.96945i	−0.187683	−	0.172015i
$299$	2.69902	−	10.0729i	0.156088	−	0.582529i
$300$	7.77757	−	14.5533i	0.449038	−	0.840237i
$301$	0.0343894	−	0.145340i	0.00198217	−	0.00837723i
$302$	−17.4676	+	11.1255i	−1.00515	+	0.640202i
$303$	6.54529	−	20.0148i	0.376017	−	1.14982i
$304$	−10.9679	−	7.68667i	−0.629054	−	0.440861i
$305$	−20.5654	−	11.8735i	−1.17757	−	0.679872i
$306$	−5.24397	+	7.85593i	−0.299778	+	0.449094i
$307$	20.7905	+	20.7905i	1.18658	+	1.18658i	0.978008	+	0.208569i	$0.0668806\pi$
$307$	20.7905	+	20.7905i	1.18658	+	1.18658i	0.208569	+	0.978008i	$0.433119\pi$
$308$	14.5407	+	2.12752i	0.828532	+	0.121227i
$309$	0.981387	−	18.0689i	0.0558292	−	1.02790i
$310$	−12.9172	−	40.9831i	−0.733648	−	2.32768i
$311$	−10.7382	−	6.19968i	−0.608905	−	0.351552i	0.163632	−	0.986521i	$-0.447679\pi$
$311$	−10.7382	−	6.19968i	−0.608905	−	0.351552i	−0.772537	+	0.634970i	$0.781012\pi$
$312$	−7.14494	−	20.3195i	−0.404502	−	1.15037i
$313$	13.2273	−	7.63680i	0.747653	−	0.431657i	−0.0771926	−	0.997016i	$-0.524596\pi$
$313$	13.2273	−	7.63680i	0.747653	−	0.431657i	0.824845	+	0.565359i	$0.191262\pi$
$314$	−5.44701	+	24.5577i	−0.307393	+	1.38587i
$315$	−16.0972	−	18.8674i	−0.906976	−	1.06306i
$316$	22.2421	+	10.3773i	1.25121	+	0.583770i
$317$	−4.91746	+	18.3522i	−0.276192	+	1.03076i	0.678846	+	0.734281i	$0.262480\pi$
$317$	−4.91746	+	18.3522i	−0.276192	+	1.03076i	−0.955038	+	0.296483i	$0.904186\pi$
$318$	23.7461	−	23.2418i	1.33162	−	1.30334i
$319$	−8.39816	−	4.84868i	−0.470207	−	0.271474i
$320$	−24.9973	−	0.0156771i	−1.39739	−	0.000876377i
$321$	−12.2015	+	10.9444i	−0.681021	+	0.610854i
$322$	−7.34163	+	4.98596i	−0.409133	+	0.277857i
$323$	5.27102	−	5.27102i	0.293288	−	0.293288i
$324$	−17.8482	−	2.33313i	−0.991564	−	0.129619i
$325$	−20.2298	+	5.42056i	−1.12215	+	0.300679i
$326$	4.32127	−	4.71485i	0.239333	−	0.261131i
$327$	−4.88741	+	14.9452i	−0.270275	+	0.826472i
$328$	1.01229	+	7.70779i	0.0558944	+	0.425592i
$329$	−21.3371	−	11.4947i	−1.17635	−	0.633723i
$330$	−10.4299	−	18.5213i	−0.574146	−	1.01956i
$331$	2.04215	+	0.547193i	0.112247	+	0.0300764i	0.314505	−	0.949256i	$-0.398161\pi$
$331$	2.04215	+	0.547193i	0.112247	+	0.0300764i	−0.202258	+	0.979332i	$0.564828\pi$
$332$	−14.5612	−	2.57068i	−0.799152	−	0.141084i
$333$	−24.4702	+	3.78041i	−1.34096	+	0.207165i
$334$	−9.09121	+	17.4596i	−0.497449	+	0.955347i
$335$	−3.02763			−0.165417
$336$	−6.70171	+	17.0613i	−0.365608	+	0.930769i
$337$	4.35223			0.237081			0.118540	−	0.992949i	$-0.462178\pi$
$337$	4.35223			0.237081			0.118540	+	0.992949i	$0.462178\pi$
$338$	−4.13477	+	7.94080i	−0.224902	+	0.431922i
$339$	11.2583	−	17.2643i	0.611466	−	0.937669i
$340$	2.41880	−	13.7009i	0.131178	−	0.743038i
$341$	−26.0857	−	6.98963i	−1.41262	−	0.378510i
$342$	13.4539	+	4.56013i	0.727505	+	0.246583i
$343$	1.63458	+	18.4480i	0.0882589	+	0.996098i
$344$	0.126640	+	0.0972374i	0.00682797	+	0.00524269i
$345$	12.2008	+	3.98993i	0.656868	+	0.214810i
$346$	7.41542	−	8.09081i	0.398655	−	0.434965i
$347$	−28.8981	+	7.74322i	−1.55133	+	0.415678i	−0.929907	−	0.367796i	$-0.880112\pi$
$347$	−28.8981	+	7.74322i	−1.55133	+	0.415678i	−0.621425	+	0.783474i	$0.713446\pi$
$348$	8.26804	−	8.82897i	0.443213	−	0.473282i
$349$	4.83429	−	4.83429i	0.258774	−	0.258774i	−0.565781	−	0.824555i	$-0.691425\pi$
$349$	4.83429	−	4.83429i	0.258774	−	0.258774i	0.824555	+	0.565781i	$0.191425\pi$
$350$	16.0442	+	7.76237i	0.857601	+	0.414916i
$351$	13.3228	+	18.5588i	0.711116	+	0.990596i
$352$	−8.44798	+	13.2454i	−0.450279	+	0.705982i
$353$	11.3033	+	6.52596i	0.601614	+	0.347342i	0.769676	−	0.638434i	$-0.220418\pi$
$353$	11.3033	+	6.52596i	0.601614	+	0.347342i	−0.168062	+	0.985776i	$0.553751\pi$
$354$	−5.00979	−	5.11849i	−0.266267	−	0.272045i
$355$	5.45959	−	20.3755i	0.289765	−	1.08142i
$356$	−9.57611	+	20.5248i	−0.507533	+	1.08781i
$357$	−8.70611	−	5.31863i	−0.460776	−	0.281492i
$358$	0.102434	−	0.461822i	0.00541381	−	0.0244080i
$359$	6.32622	−	3.65245i	0.333885	−	0.192769i	−0.323680	−	0.946167i	$-0.604920\pi$
$359$	6.32622	−	3.65245i	0.333885	−	0.192769i	0.657565	+	0.753398i	$0.271587\pi$
$360$	25.4525	−	7.42561i	1.34147	−	0.391364i
$361$	6.74523	+	3.89436i	0.355012	+	0.204966i
$362$	−5.76967	−	18.3057i	−0.303247	−	0.962128i
$363$	5.68526	+	0.308788i	0.298399	+	0.0162072i
$364$	21.6198	−	8.59301i	1.13319	−	0.450396i
$365$	9.55622	+	9.55622i	0.500196	+	0.500196i
$366$	−4.62486	−	18.0321i	−0.241745	−	0.942553i
$367$	11.5638	+	6.67639i	0.603628	+	0.348505i	0.770467	−	0.637479i	$-0.220023\pi$
$367$	11.5638	+	6.67639i	0.603628	+	0.348505i	−0.166840	+	0.985984i	$0.553356\pi$
$368$	−1.64356	−	9.34395i	−0.0856766	−	0.487087i
$369$	−3.32511	−	7.54538i	−0.173098	−	0.392797i
$370$	30.7619	−	19.5930i	1.59924	−	1.01859i
$371$	26.1143	+	24.6194i	1.35579	+	1.27817i
$372$	15.8771	−	29.7091i	0.823190	−	1.54035i
$373$	−2.28668	+	8.53402i	−0.118400	+	0.441875i	−0.999519	−	0.0310202i	$-0.990124\pi$
$373$	−2.28668	+	8.53402i	−0.118400	+	0.441875i	0.881119	+	0.472895i	$0.156791\pi$
$374$	−6.44603	−	5.90793i	−0.333316	−	0.305492i
$375$	0.263746	+	1.25253i	0.0136198	+	0.0646802i
$376$	20.5605	−	15.7664i	1.06033	−	0.813090i
$377$	−15.3522			−0.790678
$378$	1.74346	−	19.3639i	0.0896740	−	0.995971i
$379$	−3.71552	+	3.71552i	−0.190853	+	0.190853i	−0.796065	−	0.605211i	$-0.793089\pi$
$379$	−3.71552	+	3.71552i	−0.190853	+	0.190853i	0.605211	+	0.796065i	$0.293089\pi$
$380$	−20.8455	+	1.81935i	−1.06935	+	0.0933309i
$381$	−12.7724	+	19.5861i	−0.654348	+	1.00343i
$382$	0.452474	+	10.3883i	0.0231506	+	0.531511i
$383$	12.6583	+	21.9248i	0.646809	+	1.12031i	0.983880	+	0.178828i	$0.0572304\pi$
$383$	12.6583	+	21.9248i	0.646809	+	1.12031i	−0.337071	+	0.941479i	$0.609436\pi$
$384$	−13.6981	−	14.0129i	−0.699029	−	0.715093i
$385$	19.5365	−	12.0603i	0.995673	−	0.614648i
$386$	12.6487	−	8.05623i	0.643800	−	0.410051i
$387$	−0.157870	−	0.0612901i	−0.00802498	−	0.00311555i
$388$	6.20754	+	8.86924i	0.315140	+	0.450267i
$389$	5.99311	+	22.3666i	0.303863	+	1.13403i	0.933920	+	0.357482i	$0.116365\pi$
$389$	5.99311	+	22.3666i	0.303863	+	1.13403i	−0.630057	+	0.776549i	$0.716969\pi$
$390$	−28.9606	−	17.1374i	−1.46648	−	0.867785i
$391$	5.28043			0.267043
$392$	−18.7042	−	6.49241i	−0.944707	−	0.327916i
$393$	15.5083	+	17.2897i	0.782292	+	0.872150i
$394$	−6.44574	+	2.03159i	−0.324732	+	0.102350i
$395$	37.0389	−	9.92455i	1.86363	−	0.499358i
$396$	4.65718	−	15.9991i	0.234032	−	0.803984i
$397$	28.1269	+	7.53659i	1.41165	+	0.378251i	0.882514	−	0.470286i	$-0.155849\pi$
$397$	28.1269	+	7.53659i	1.41165	+	0.378251i	0.529137	+	0.848537i	$0.322516\pi$
$398$	12.0329	−	7.66401i	0.603153	−	0.384162i
$399$	−4.33765	+	14.7181i	−0.217154	+	0.736825i
$400$	−14.6013	+	12.2416i	−0.730065	+	0.612078i
$401$	25.0271	−	14.4494i	1.24979	−	0.721568i	0.278724	−	0.960371i	$-0.410088\pi$
$401$	25.0271	−	14.4494i	1.24979	−	0.721568i	0.971068	+	0.238803i	$0.0767550\pi$
$402$	−1.66016	−	1.69618i	−0.0828011	−	0.0845977i
$403$	−41.2971	+	11.0655i	−2.05715	+	0.551213i
$404$	−15.6336	+	18.6235i	−0.777802	+	0.926555i
$405$	−23.7008	+	15.1366i	−1.17770	+	0.752142i
$406$	9.88749	+	8.54013i	0.490708	+	0.423839i
$407$		−	22.9215i		−	1.13618i
$408$	9.00204	−	6.15763i	0.445668	−	0.304848i
$409$	5.92955	+	3.42343i	0.293197	+	0.169277i	0.639383	−	0.768889i	$-0.279190\pi$
$409$	5.92955	+	3.42343i	0.293197	+	0.169277i	−0.346186	+	0.938166i	$0.612523\pi$
$410$	8.95376	+	8.20633i	0.442195	+	0.405282i
$411$	−26.0042	+	13.1876i	−1.28269	+	0.650496i
$412$	−8.83451	+	18.9353i	−0.435245	+	0.932877i
$413$	5.30672	−	5.62895i	0.261127	−	0.276983i
$414$	4.45484	+	9.02311i	0.218943	+	0.443461i
$415$	−20.0063	+	11.5506i	−0.982069	+	0.566998i
$416$	−1.09785	+	24.8470i	−0.0538267	+	1.21822i
$417$	25.4958	−	5.36867i	1.24853	−	0.262905i
$418$	−6.07352	+	11.6642i	−0.297066	+	0.570512i
$419$	5.41932	−	5.41932i	0.264751	−	0.264751i	−0.562230	−	0.826981i	$-0.690056\pi$
$419$	5.41932	−	5.41932i	0.264751	−	0.264751i	0.826981	+	0.562230i	$0.190056\pi$
$420$	9.11869	+	27.1474i	0.444946	+	1.32466i
$421$	5.73912	+	5.73912i	0.279708	+	0.279708i	0.832992	−	0.553285i	$-0.186626\pi$
$421$	5.73912	+	5.73912i	0.279708	+	0.279708i	−0.553285	+	0.832992i	$0.686626\pi$
$422$	−9.58550	−	30.4124i	−0.466615	−	1.48045i
$423$	−16.2376	+	22.1714i	−0.789498	+	1.07801i
$424$	−35.4517	+	14.6716i	−1.72169	+	0.712514i
$425$	−5.30247	−	9.18414i	−0.257207	−	0.445496i
$426$	14.4087	−	8.11397i	0.698105	−	0.393123i
$427$	19.2604	−	5.77395i	0.932078	−	0.279421i
$428$	17.7863	−	6.46948i	0.859734	−	0.312714i
$429$	−18.8620	+	9.56558i	−0.910668	+	0.461831i
$430$	0.249213	−	0.0108548i	0.0120181	−	0.000523463i
$431$	0.237757	−	0.411807i	0.0114523	−	0.0198360i	−0.860242	−	0.509885i	$-0.829688\pi$
$431$	0.237757	−	0.411807i	0.0114523	−	0.0198360i	0.871695	+	0.490049i	$0.163021\pi$
$432$	18.1166	+	10.1876i	0.871636	+	0.490153i
$433$	−12.6172			−0.606346			−0.303173	−	0.952936i	$-0.598046\pi$
$433$	−12.6172			−0.606346			−0.303173	+	0.952936i	$0.598046\pi$
$434$	32.7527	+	15.8461i	1.57218	+	0.760636i
$435$	1.02490	−	18.8700i	0.0491402	−	0.904747i
$436$	11.6737	−	13.9063i	0.559070	−	0.665991i
$437$	−2.05547	−	7.67111i	−0.0983264	−	0.366959i
$438$	−0.113693	+	10.5937i	−0.00543248	+	0.506189i
$439$	6.18146	+	10.7066i	0.295025	+	0.510998i	0.974991	−	0.222246i	$-0.0713387\pi$
$439$	6.18146	+	10.7066i	0.295025	+	0.510998i	−0.679966	+	0.733244i	$0.738005\pi$
$440$	3.19606	+	24.3355i	0.152366	+	1.16015i
$441$	20.9742	+	1.04128i	0.998770	+	0.0495846i
$442$	−13.5142	−	2.99752i	−0.642806	−	0.142577i
$443$	−2.81454	+	10.5040i	−0.133723	+	0.499061i	−1.00000		0.000503083i	$-0.999840\pi$
$443$	−2.81454	+	10.5040i	−0.133723	+	0.499061i	0.866277	+	0.499564i	$0.166507\pi$
$444$	27.8445	+	6.49032i	1.32144	+	0.308017i
$445$	9.15830	+	34.1792i	0.434145	+	1.62025i
$446$	15.7481	−	30.2440i	0.745693	−	1.43210i
$447$	−3.59402	−	4.00686i	−0.169991	−	0.189518i
$448$	14.5290	−	15.3918i	0.686429	−	0.727197i
$449$		−	0.0249166i		−	0.00117589i	−1.00000		0.000587945i	$-0.999813\pi$
$449$		−	0.0249166i		−	0.00117589i	1.00000		0.000587945i	$-0.000187149\pi$
$450$	11.2203	−	16.8090i	0.528928	−	0.792382i
$451$	7.37306	−	1.97560i	0.347184	−	0.0930276i
$452$	−19.4981	+	13.6466i	−0.917114	+	0.641884i
$453$	−22.6215	+	11.4721i	−1.06285	+	0.539007i
$454$	0.167163	−	0.753652i	0.00784536	−	0.0353706i
$455$	17.2387	−	31.9995i	0.808163	−	1.50016i
$456$	−12.4496	−	10.6807i	−0.583006	−	0.500171i
$457$	−29.5454	+	17.0581i	−1.38208	+	0.797942i	−0.992405	−	0.123012i	$-0.960745\pi$
$457$	−29.5454	+	17.0581i	−1.38208	+	0.797942i	−0.389671	+	0.920954i	$0.627411\pi$
$458$	−17.0303	+	18.5814i	−0.795773	+	0.868252i
$459$	−7.33122	+	8.94850i	−0.342192	+	0.417680i
$460$	−11.3527	−	9.53005i	−0.529320	−	0.444341i
$461$	−12.2500	−	12.2500i	−0.570541	−	0.570541i	0.361738	−	0.932280i	$-0.382183\pi$
$461$	−12.2500	−	12.2500i	−0.570541	−	0.570541i	−0.932280	+	0.361738i	$0.882183\pi$
$462$	17.4691	+	4.33193i	0.812738	+	0.201540i
$463$			26.3892i			1.22641i	0.789923	+	0.613206i	$0.210121\pi$
$463$			26.3892i			1.22641i	−0.789923	+	0.613206i	$0.789879\pi$
$464$	−12.6610	+	5.89748i	−0.587773	+	0.273784i
$465$	−10.8441	−	51.4986i	−0.502883	−	2.38819i
$466$	0.0832252	+	1.91075i	0.00385533	+	0.0885140i
$467$	12.9399	+	3.46723i	0.598787	+	0.160444i	0.545466	−	0.838133i	$-0.316353\pi$
$467$	12.9399	+	3.46723i	0.598787	+	0.160444i	0.0533208	+	0.998577i	$0.483019\pi$
$468$	−6.27919	−	25.6217i	−0.290256	−	1.18436i
$469$	1.75856	−	1.86534i	0.0812025	−	0.0861333i
$470$	8.76551	−	39.5191i	0.404323	−	1.82288i
$471$	−9.57585	+	29.2819i	−0.441232	+	1.34924i
$472$	3.16246	+	7.64164i	0.145564	+	0.351735i
$473$	0.0783861	−	0.135769i	0.00360420	−	0.00624265i
$474$	25.8699	+	15.3085i	1.18824	+	0.703141i
$475$	−11.2782	+	11.2782i	−0.517477	+	0.517477i
$476$	7.03630	+	9.44824i	0.322508	+	0.433059i
$477$	31.7231	−	25.4898i	1.45250	−	1.16710i
$478$	−8.29901	−	4.32129i	−0.379588	−	0.197651i
$479$	2.80773	−	4.86312i	0.128288	−	0.222202i	−0.794725	−	0.606969i	$-0.792385\pi$
$479$	2.80773	−	4.86312i	0.128288	−	0.222202i	0.923014	+	0.384768i	$0.125718\pi$
$480$	−30.4671	−	3.00818i	−1.39063	−	0.137304i
$481$	−18.1439	−	31.4261i	−0.827290	−	1.43291i
$482$	3.51361	−	2.23790i	0.160041	−	0.101934i
$483$	−9.54487	+	5.19948i	−0.434306	+	0.236584i
$484$	−5.95790	−	2.77973i	−0.270813	−	0.126351i
$485$	16.3371	+	4.37751i	0.741829	+	0.198772i
$486$	−21.4760	−	4.97805i	−0.974172	−	0.225809i
$487$	16.8526	−	29.1896i	0.763666	−	1.32271i	−0.177283	−	0.984160i	$-0.556731\pi$
$487$	16.8526	−	29.1896i	0.763666	−	1.32271i	0.940949	−	0.338548i	$-0.109936\pi$
$488$	−2.81242	+	21.3108i	−0.127312	+	0.964696i
$489$	5.83095	−	5.23018i	0.263685	−	0.236517i
$490$	−28.9032	+	11.0195i	−1.30571	+	0.497810i
$491$	18.0581	+	18.0581i	0.814949	+	0.814949i	0.985371	−	0.170422i	$-0.0545131\pi$
$491$	18.0581	+	18.0581i	0.814949	+	0.814949i	−0.170422	+	0.985371i	$0.554513\pi$
$492$	0.312209	+	9.51602i	0.0140755	+	0.429016i
$493$	−2.01199	−	7.50886i	−0.0906157	−	0.338182i
$494$	0.905949	+	20.7995i	0.0407606	+	0.935815i
$495$	−10.4982	−	23.8227i	−0.471860	−	1.07075i
$496$	−29.8071	+	24.9899i	−1.33838	+	1.12208i
$497$	9.38232	+	15.1985i	0.420855	+	0.681746i
$498$	−17.4412	−	4.87456i	−0.781559	−	0.218434i
$499$	6.42472	−	23.9774i	0.287610	−	1.07338i	−0.659301	−	0.751879i	$-0.729148\pi$
$499$	6.42472	−	23.9774i	0.287610	−	1.07338i	0.946911	−	0.321496i	$-0.104186\pi$
$500$	0.256958	−	1.45550i	0.0114915	−	0.0650920i
$501$	−13.1690	+	20.1943i	−0.588346	+	0.902215i
$502$	−4.42596	−	14.0425i	−0.197540	−	0.626746i
$503$			10.9211i			0.486948i	0.969907	+	0.243474i	$0.0782871\pi$
$503$			10.9211i			0.486948i	−0.969907	+	0.243474i	$0.921713\pi$
$504$	−10.2088	+	19.9945i	−0.454736	+	0.890626i
$505$			37.9889i			1.69048i
$506$	−8.88467	+	2.80030i	−0.394972	+	0.124489i
$507$	−5.98937	+	9.18457i	−0.265997	+	0.407901i
$508$	22.1203	−	15.4819i	0.981431	−	0.686900i
$509$	2.21015	−	8.24838i	0.0979630	−	0.365603i	−0.899489	−	0.436943i	$-0.856061\pi$
$509$	2.21015	−	8.24838i	0.0979630	−	0.365603i	0.997452	+	0.0713404i	$0.0227277\pi$
$510$	4.58656	−	16.4108i	0.203096	−	0.726681i
$511$	−11.4382	+	0.337045i	−0.505998	+	0.0149100i
$512$	8.63947	+	20.9131i	0.381814	+	0.924239i
$513$	15.8536	+	7.16708i	0.699955	+	0.316434i
$514$	−16.4584	+	0.716867i	−0.725950	+	0.0316196i
$515$	8.44906	+	31.5323i	0.372310	+	1.38948i
$516$	0.142733	+	0.133665i	0.00628349	+	0.00588428i
$517$	−17.9891	−	17.9891i	−0.791158	−	0.791158i
$518$	−5.79628	+	30.3329i	−0.254674	+	1.33275i
$519$	10.0061	−	8.97513i	0.439218	−	0.393965i
$520$	23.6450	+	30.8348i	1.03690	+	1.35220i
$521$	12.0820	−	20.9266i	0.529320	−	0.916809i	−0.470095	−	0.882616i	$-0.655780\pi$
$521$	12.0820	−	20.9266i	0.529320	−	0.916809i	0.999415	−	0.0341934i	$-0.0108862\pi$
$522$	11.1336	−	9.77291i	0.487304	−	0.427749i
$523$	−14.9487	−	4.00550i	−0.653663	−	0.175148i	−0.0832785	−	0.996526i	$-0.526539\pi$
$523$	−14.9487	−	4.00550i	−0.653663	−	0.175148i	−0.570384	+	0.821378i	$0.693206\pi$
$524$	−9.16735	−	25.2035i	−0.400478	−	1.10102i
$525$	18.6280	+	11.3800i	0.812994	+	0.496664i
$526$	0.184985	+	0.290436i	0.00806575	+	0.0126636i
$527$	−10.8244	−	18.7485i	−0.471520	−	0.816696i
$528$	−11.8810	+	15.1345i	−0.517055	+	0.658647i
$529$	−8.68717	+	15.0466i	−0.377703	+	0.654201i
$530$	−27.6841	+	53.1672i	−1.20252	+	2.30943i
$531$	−5.49435	−	6.83794i	−0.238435	−	0.296741i
$532$	10.9869	−	13.8998i	0.476343	−	0.602632i
$533$	8.54488	−	8.54488i	0.370120	−	0.370120i
$534$	−14.1265	+	23.8725i	−0.611315	+	1.03306i
$535$	14.7846	−	25.6077i	0.639194	−	1.10712i
$536$	1.04799	+	2.53231i	0.0452661	+	0.109379i
$537$	0.180079	−	0.550663i	0.00777098	−	0.0237629i
$538$	−8.56491	−	1.89973i	−0.369260	−	0.0819034i
$539$	−3.91712	+	19.0416i	−0.168722	+	0.820179i
$540$	31.9119	−	6.00751i	1.37327	−	0.258522i
$541$	4.23560	+	1.13492i	0.182103	+	0.0487942i	0.348718	−	0.937228i	$-0.386617\pi$
$541$	4.23560	+	1.13492i	0.182103	+	0.0487942i	−0.166615	+	0.986022i	$0.553284\pi$
$542$	−30.9904	+	1.34982i	−1.33115	+	0.0579799i
$543$	−4.84369	−	23.0027i	−0.207863	−	0.987139i
$544$	−12.2967	+	2.71938i	−0.527217	+	0.116592i
$545$		−	28.3665i		−	1.21509i
$546$	27.3798	−	7.88876i	1.17175	−	0.337608i
$547$	−9.92029	−	9.92029i	−0.424161	−	0.424161i	0.462472	−	0.886634i	$-0.346962\pi$
$547$	−9.92029	−	9.92029i	−0.424161	−	0.424161i	−0.886634	+	0.462472i	$0.846962\pi$
$548$	33.5401	−	2.92731i	1.43276	−	0.125049i
$549$	−3.48101	−	22.5322i	−0.148566	−	0.961652i
$550$	13.7922	+	12.6409i	0.588103	+	0.539011i
$551$	−10.1253	+	5.84582i	−0.431351	+	0.249040i
$552$	−0.886016	−	11.5858i	−0.0377114	−	0.493125i
$553$	−15.3990	+	28.5844i	−0.654831	+	1.21553i
$554$	−24.2677	−	5.38268i	−1.03104	−	0.228688i
$555$	39.8384	−	20.2034i	1.69104	−	0.857586i
$556$	−29.6274	−	5.23050i	−1.25648	−	0.221823i
$557$	14.8951	−	3.99113i	0.631126	−	0.169110i	0.0709455	−	0.997480i	$-0.477398\pi$
$557$	14.8951	−	3.99113i	0.631126	−	0.169110i	0.560181	+	0.828370i	$0.310732\pi$
$558$	22.9050	−	34.3138i	0.969646	−	1.45262i
$559$		−	0.248191i		−	0.0104974i
$560$	1.92437	−	33.0122i	0.0813193	−	1.39502i
$561$	−7.15057	−	7.97193i	−0.301897	−	0.336575i
$562$	41.4651	+	21.5908i	1.74910	+	0.910755i
$563$	6.04647	+	22.5657i	0.254828	+	0.951033i	0.968186	+	0.250232i	$0.0805070\pi$
$563$	6.04647	+	22.5657i	0.254828	+	0.951033i	−0.713357	+	0.700800i	$0.752826\pi$
$564$	26.9464	−	16.7590i	1.13465	−	0.705682i
$565$	−9.62350	+	35.9154i	−0.404864	+	1.51097i
$566$	2.60848	−	11.7603i	0.109643	−	0.494322i
$567$	4.44055	−	23.3940i	0.186486	−	0.982458i
$568$	−18.9318	+	2.48639i	−0.794363	+	0.104326i
$569$	10.7638	+	18.6435i	0.451243	+	0.781576i	0.998464	−	0.0554128i	$-0.0176475\pi$
$569$	10.7638	+	18.6435i	0.451243	+	0.781576i	−0.547221	+	0.836988i	$0.684314\pi$
$570$	−25.6260	−	0.275022i	−1.07335	−	0.0115194i
$571$	−6.59217	−	24.6023i	−0.275874	−	1.02957i	−0.955254	−	0.295788i	$-0.904418\pi$
$571$	−6.59217	−	24.6023i	−0.275874	−	1.02957i	0.679380	−	0.733787i	$-0.262249\pi$
$572$	24.3282	−	2.12332i	1.01721	−	0.0887803i
$573$	−0.690671	+	12.7163i	−0.0288532	+	0.531232i
$574$	−10.2566	+	0.749930i	−0.428104	+	0.0313015i
$575$	−11.2983			−0.471171
$576$	−15.0209	−	18.7182i	−0.625873	−	0.779925i
$577$	−13.4087	+	23.2245i	−0.558210	+	0.966847i	0.439436	+	0.898274i	$0.355178\pi$
$577$	−13.4087	+	23.2245i	−0.558210	+	0.966847i	−0.997646	+	0.0685737i	$0.978155\pi$
$578$	0.741158	+	17.0161i	0.0308281	+	0.707777i
$579$	16.3807	−	8.30721i	0.680759	−	0.345236i
$580$	−9.22621	+	19.7749i	−0.383098	+	0.821107i
$581$	4.50395	−	19.0350i	0.186856	−	0.789704i
$582$	6.50579	+	11.5529i	0.269674	+	0.478884i
$583$	18.8363	+	32.6255i	0.780121	+	1.35121i
$584$	4.68503	−	11.3006i	0.193868	−	0.467623i
$585$	−33.2506	−	24.3516i	−1.37474	−	1.00682i
$586$	15.5214	−	4.89209i	0.641183	−	0.202091i
$587$	−24.5846	−	24.5846i	−1.01472	−	1.01472i	−0.999890	−	0.0148256i	$-0.995281\pi$
$587$	−24.5846	−	24.5846i	−1.01472	−	1.01472i	−0.0148256	−	0.999890i	$-0.504719\pi$
$588$	−22.0221	−	10.1501i	−0.908178	−	0.418584i
$589$	−23.0232	+	23.0232i	−0.948654	+	0.948654i
$590$	11.4602	+	5.96733i	0.471810	+	0.245671i
$591$	−8.09960	+	1.70554i	−0.333173	+	0.0701566i
$592$	−27.0355	−	18.9473i	−1.11115	−	0.778731i
$593$	−25.2680	+	14.5885i	−1.03763	+	0.599077i	−0.919161	−	0.393881i	$-0.871132\pi$
$593$	−25.2680	+	14.5885i	−1.03763	+	0.599077i	−0.118470	+	0.992958i	$0.537799\pi$
$594$	7.58971	−	18.9443i	0.311410	−	0.777294i
$595$	17.9104	+	4.23786i	0.734254	+	0.173735i
$596$	2.12452	+	5.84086i	0.0870236	+	0.239251i
$597$	15.5832	−	7.90277i	0.637778	−	0.323439i
$598$	−9.96454	+	10.8721i	−0.407480	+	0.444594i
$599$	6.66114	+	3.84581i	0.272167	+	0.157136i	0.629872	−	0.776699i	$-0.283107\pi$
$599$	6.66114	+	3.84581i	0.272167	+	0.157136i	−0.357705	+	0.933835i	$0.616441\pi$
$600$	−19.2612	+	13.1752i	−0.786337	+	0.537875i
$601$		−	4.11985i		−	0.168052i	−0.996464	−	0.0840262i	$-0.973222\pi$
$601$		−	4.11985i		−	0.168052i	0.996464	−	0.0840262i	$-0.0267779\pi$
$602$	−0.138064	+	0.159846i	−0.00562707	+	0.00651484i
$603$	−1.82073	−	2.26598i	−0.0741460	−	0.0922777i
$604$	29.1771	−	2.54652i	1.18720	−	0.103616i
$605$	−9.92147	+	2.65845i	−0.403365	+	0.108081i
$606$	−21.2827	+	20.8307i	−0.864549	+	0.846189i
$607$	13.9455	−	8.05141i	0.566029	−	0.326797i	−0.189533	−	0.981874i	$-0.560697\pi$
$607$	13.9455	−	8.05141i	0.566029	−	0.326797i	0.755562	+	0.655078i	$0.227364\pi$
$608$	8.73719	+	16.8054i	0.354340	+	0.681550i
$609$	11.0306	+	11.5918i	0.446983	+	0.469724i
$610$	18.0413	+	28.3257i	0.730470	+	1.14687i
$611$	−38.9031	−	10.4241i	−1.57385	−	0.421712i
$612$	11.7088	−	6.42907i	0.473302	−	0.259880i
$613$	32.6167	−	8.73962i	1.31738	−	0.352990i	0.469382	−	0.882995i	$-0.344477\pi$
$613$	32.6167	−	8.73962i	1.31738	−	0.352990i	0.847994	+	0.530005i	$0.177810\pi$
$614$	−12.4995	−	39.6578i	−0.504439	−	1.60046i
$615$	9.93240	+	11.0733i	0.400513	+	0.446518i
$616$	−16.8496	−	12.1658i	−0.678889	−	0.490174i
$617$	24.2514			0.976326			0.488163	−	0.872752i	$-0.337667\pi$
$617$	24.2514			0.976326			0.488163	+	0.872752i	$0.337667\pi$
$618$	−13.0325	+	22.0238i	−0.524246	+	0.885926i
$619$	−8.16347	−	30.4665i	−0.328117	−	1.22455i	−0.911141	−	0.412095i	$-0.864797\pi$
$619$	−8.16347	−	30.4665i	−0.328117	−	1.22455i	0.583023	−	0.812455i	$-0.301870\pi$
$620$	−10.5650	+	59.8440i	−0.424301	+	2.40339i
$621$	4.35103	+	11.5309i	0.174601	+	0.462719i
$622$	9.42018	+	14.7901i	0.377715	+	0.593031i
$623$	−26.3775	−	14.2101i	−1.05679	−	0.569314i
$624$	−4.30927	+	30.1546i	−0.172509	+	1.20715i
$625$	−13.0633	−	22.6263i	−0.522532	−	0.905052i
$626$	−21.5797	+	0.939929i	−0.862497	+	0.0375671i
$627$	−8.79773	+	13.4911i	−0.351347	+	0.538783i
$628$	22.8722	−	27.2464i	0.912700	−	1.08725i
$629$	12.9929	−	12.9929i	0.518060	−	0.518060i
$630$	7.86853	+	34.1802i	0.313490	+	1.36177i
$631$	−27.4119			−1.09125			−0.545626	−	0.838029i	$-0.683708\pi$
$631$	−27.4119			−1.09125			−0.545626	+	0.838029i	$0.683708\pi$
$632$	−21.1216	−	27.5441i	−0.840172	−	1.09564i
$633$	−8.04711	−	38.2157i	−0.319844	−	1.51894i
$634$	18.1549	−	19.8084i	0.721022	−	0.786692i
$635$	10.9177	−	40.7455i	0.433257	−	1.61694i
$636$	−44.9663	+	13.6439i	−1.78303	+	0.541016i
$637$	9.70218	+	29.2073i	0.384414	+	1.15724i
$638$	7.36739	+	11.5672i	0.291678	+	0.457948i
$639$	18.5329	−	8.16712i	0.733151	−	0.323086i
$640$	31.3452	+	16.3464i	1.23903	+	0.646150i
$641$	3.31971	+	1.91664i	0.131121	+	0.0757026i	0.564126	−	0.825689i	$-0.309213\pi$
$641$	3.31971	+	1.91664i	0.131121	+	0.0757026i	−0.433005	+	0.901392i	$0.642547\pi$
$642$	22.4532	−	5.75879i	0.886158	−	0.227281i
$643$	−21.4606	−	21.4606i	−0.846324	−	0.846324i	0.143348	−	0.989672i	$-0.454213\pi$
$643$	−21.4606	−	21.4606i	−0.846324	−	0.846324i	−0.989672	+	0.143348i	$0.954213\pi$
$644$	12.4655	−	1.45904i	0.491211	−	0.0574941i
$645$	0.305062	+	0.0165690i	0.0120118	+	0.000652405i
$646$	−10.0545	+	3.16900i	−0.395587	+	0.124683i
$647$	13.7599	+	7.94430i	0.540959	+	0.312323i	0.745467	−	0.666542i	$-0.232226\pi$
$647$	13.7599	+	7.94430i	0.540959	+	0.312323i	−0.204509	+	0.978865i	$0.565560\pi$
$648$	20.8640	+	14.5840i	0.819617	+	0.572912i
$649$	7.03244	−	4.06018i	0.276047	−	0.159376i
$650$	28.9157	+	6.41364i	1.13417	+	0.251564i
$651$	38.0272	+	23.2311i	1.49040	+	0.910499i
$652$	−8.49988	+	3.09169i	−0.332881	+	0.121080i
$653$	−10.7210	+	40.0114i	−0.419546	+	1.56577i	0.356008	+	0.934483i	$0.384138\pi$
$653$	−10.7210	+	40.0114i	−0.419546	+	1.56577i	−0.775553	+	0.631282i	$0.782529\pi$
$654$	15.8919	−	15.5544i	0.621422	−	0.608225i
$655$	−36.2865	−	20.9500i	−1.41783	−	0.818585i
$656$	3.76451	−	10.3295i	0.146980	−	0.403298i
$657$	−1.40534	+	12.8990i	−0.0548274	+	0.503240i
$658$	19.2566	+	28.3546i	0.750701	+	1.10538i
$659$	−12.3907	+	12.3907i	−0.482672	+	0.482672i	−0.905984	−	0.423312i	$-0.860867\pi$
$659$	−12.3907	+	12.3907i	−0.482672	+	0.482672i	0.423312	+	0.905984i	$0.360867\pi$
$660$	0.985722	+	30.0445i	0.0383692	+	1.16948i
$661$	10.7825	−	2.88916i	0.419391	−	0.112375i	−0.0429512	−	0.999077i	$-0.513676\pi$
$661$	10.7825	−	2.88916i	0.419391	−	0.112375i	0.462342	+	0.886702i	$0.347009\pi$
$662$	−2.20419	−	2.02019i	−0.0856682	−	0.0785169i
$663$	−16.1140	−	5.26963i	−0.625815	−	0.204655i
$664$	16.5859	+	12.7351i	0.643659	+	0.494218i
$665$	−0.815303	−	27.6688i	−0.0316161	−	1.07295i
$666$	33.1634	+	11.2405i	1.28506	+	0.435562i
$667$	−7.99979	−	2.14354i	−0.309753	−	0.0829981i
$668$	22.8072	−	15.9627i	0.882437	−	0.617615i
$669$	22.8117	−	34.9812i	0.881950	−	1.35245i
$670$	3.79772	+	1.97747i	0.146719	+	0.0763964i
$671$	21.1062			0.814796
$672$	19.5498	−	17.0237i	0.754148	−	0.656704i
$673$	49.7652			1.91831			0.959154	−	0.282883i	$-0.0912908\pi$
$673$	49.7652			1.91831			0.959154	+	0.282883i	$0.0912908\pi$
$674$	−5.45923	−	2.84262i	−0.210282	−	0.109494i
$675$	15.6863	−	19.1467i	0.603764	−	0.736955i
$676$	10.3729	−	7.25998i	0.398959	−	0.279230i
$677$	38.0627	+	10.1989i	1.46287	+	0.391974i	0.900479	−	0.434899i	$-0.143216\pi$
$677$	38.0627	+	10.1989i	1.46287	+	0.391974i	0.562388	+	0.826874i	$0.309883\pi$
$678$	−25.3979	+	14.3023i	−0.975402	+	0.549277i
$679$	−12.1862	+	7.52276i	−0.467662	+	0.288697i
$680$	−11.9827	+	15.6060i	−0.459515	+	0.598464i
$681$	0.293873	−	0.898632i	0.0112612	−	0.0344357i
$682$	28.1555	+	25.8051i	1.07813	+	0.988130i
$683$	−7.15898	+	1.91824i	−0.273931	+	0.0733995i	−0.393169	−	0.919466i	$-0.628621\pi$
$683$	−7.15898	+	1.91824i	−0.273931	+	0.0733995i	0.119238	+	0.992866i	$0.461955\pi$
$684$	−13.8976	−	14.5073i	−0.531387	−	0.554702i
$685$	37.1937	−	37.1937i	1.42110	−	1.42110i
$686$	9.99882	−	24.2079i	0.381757	−	0.924263i
$687$	−22.9800	+	20.6123i	−0.876741	+	0.786409i
$688$	−0.0953416	−	0.204684i	−0.00363487	−	0.00780351i
$689$	51.6504	+	29.8204i	1.96772	+	1.13607i
$690$	−12.6981	−	12.9736i	−0.483409	−	0.493897i
$691$	−0.512296	+	1.91191i	−0.0194887	+	0.0727326i	−0.974985	−	0.222269i	$-0.928654\pi$
$691$	−0.512296	+	1.91191i	−0.0194887	+	0.0727326i	0.955497	+	0.295002i	$0.0953203\pi$
$692$	−14.5860	+	5.30542i	−0.554477	+	0.201682i
$693$	20.7750	+	7.36906i	0.789178	+	0.279927i
$694$	41.3059	+	9.16182i	1.56795	+	0.347778i
$695$	−40.7063	+	23.5018i	−1.54408	+	0.891474i
$696$	−16.1376	+	5.67445i	−0.611695	+	0.215090i
$697$	5.29922	+	3.05950i	0.200722	+	0.115887i
$698$	−9.22140	+	2.90644i	−0.349035	+	0.110010i
$699$	−0.127038	+	2.33896i	−0.00480500	+	0.0884675i
$700$	−15.0552	−	20.2159i	−0.569034	−	0.764090i
$701$	13.4372	+	13.4372i	0.507515	+	0.507515i	0.913763	−	0.406248i	$-0.133163\pi$
$701$	13.4372	+	13.4372i	0.507515	+	0.507515i	−0.406248	+	0.913763i	$0.633163\pi$
$702$	−4.58992	−	31.9810i	−0.173235	−	1.20704i
$703$	−23.9329	−	13.8177i	−0.902648	−	0.521144i
$704$	19.2479	−	11.0967i	0.725432	−	0.418222i
$705$	15.4098	−	47.1214i	0.580365	−	1.77470i
$706$	−9.91596	−	15.5685i	−0.373192	−	0.585929i
$707$	−23.4052	−	22.0653i	−0.880242	−	0.829852i
$708$	2.94095	+	9.69250i	0.110528	+	0.364267i
$709$	−6.51325	+	24.3078i	−0.244610	+	0.912898i	0.728969	+	0.684547i	$0.240000\pi$
$709$	−6.51325	+	24.3078i	−0.244610	+	0.912898i	−0.973579	+	0.228351i	$0.926667\pi$
$710$	−20.1564	+	21.9922i	−0.756454	+	0.825352i
$711$	29.7021	+	21.7528i	1.11391	+	0.815794i
$712$	25.4175	−	19.4908i	0.952560	−	0.730450i
$713$	−23.0643			−0.863764
$714$	7.44672	+	12.3578i	0.278687	+	0.462478i
$715$	26.9784	−	26.9784i	1.00893	−	1.00893i
$716$	−0.430124	+	0.512384i	−0.0160745	+	0.0191487i
$717$	−9.59889	−	6.25956i	−0.358477	−	0.233767i
$718$	−10.3209	+	0.449539i	−0.385172	+	0.0167766i
$719$	−18.1422	−	31.4232i	−0.676590	−	1.17189i	−0.976001	−	0.217764i	$-0.930124\pi$
$719$	−18.1422	−	31.4232i	−0.676590	−	1.17189i	0.299411	−	0.954124i	$-0.403210\pi$
$720$	−36.7765	−	7.30979i	−1.37058	−	0.272420i
$721$	−24.3348	−	13.1096i	−0.906274	−	0.488227i
$722$	−5.91734	−	9.29051i	−0.220221	−	0.345757i
$723$	4.55031	−	2.30762i	0.169228	−	0.0858212i
$724$	−4.71904	+	26.7303i	−0.175382	+	0.993424i
$725$	4.30497	+	16.0664i	0.159882	+	0.596689i
$726$	−6.92965	−	4.10061i	−0.257183	−	0.152188i
$727$	−15.3442			−0.569084			−0.284542	−	0.958664i	$-0.591842\pi$
$727$	−15.3442			−0.569084			−0.284542	+	0.958664i	$0.591842\pi$
$728$	−32.7314	−	3.34213i	−1.21311	−	0.123868i
$729$	−25.5817	−	8.63573i	−0.947471	−	0.319842i
$730$	−5.74532	−	18.2285i	−0.212644	−	0.674666i
$731$	0.121392	−	0.0325269i	0.00448985	−	0.00120305i
$732$	−5.97631	+	25.6393i	−0.220891	+	0.947657i
$733$	−32.2857	−	8.65093i	−1.19250	−	0.319529i	−0.392626	−	0.919698i	$-0.628433\pi$
$733$	−32.2857	−	8.65093i	−1.19250	−	0.319529i	−0.799873	+	0.600169i	$0.795100\pi$
$734$	−10.1445	−	15.9274i	−0.374441	−	0.587891i
$735$	−36.5475	+	9.97548i	−1.34808	+	0.367951i
$736$	−4.04132	+	12.7941i	−0.148965	+	0.471597i
$737$	2.33043	−	1.34547i	0.0858424	−	0.0495612i
$738$	−0.757338	+	11.6364i	−0.0278780	+	0.428340i
$739$	26.0897	−	6.99071i	0.959724	−	0.257157i	0.255240	−	0.966878i	$-0.417845\pi$
$739$	26.0897	−	6.99071i	0.959724	−	0.257157i	0.704483	+	0.709720i	$0.251179\pi$
$740$	−51.3834	+	4.48464i	−1.88889	+	0.164859i
$741$	−1.38287	+	25.4607i	−0.0508009	+	0.935324i
$742$	−16.6766	−	47.9378i	−0.612219	−	1.75985i
$743$			29.2299i			1.07234i	0.844109	+	0.536171i	$0.180130\pi$
$743$			29.2299i			1.07234i	−0.844109	+	0.536171i	$0.819870\pi$
$744$	−39.3198	+	26.8958i	−1.44153	+	0.986047i
$745$	8.40932	+	4.85512i	0.308094	+	0.177878i
$746$	8.44224	−	9.21116i	0.309092	−	0.337244i
$747$	−20.6761	−	8.02711i	−0.756499	−	0.293697i
$748$	4.22688	+	11.6208i	0.154550	+	0.424899i
$749$	7.18961	+	23.9827i	0.262703	+	0.876310i
$750$	0.487248	−	1.74338i	0.0177918	−	0.0636591i
$751$	−5.18509	+	2.99362i	−0.189207	+	0.109239i	−0.591611	−	0.806223i	$-0.701508\pi$
$751$	−5.18509	+	2.99362i	−0.189207	+	0.109239i	0.402404	+	0.915462i	$0.368175\pi$
$752$	−36.0879	+	6.34771i	−1.31599	+	0.231477i
$753$	−3.71563	−	17.6455i	−0.135405	−	0.643038i
$754$	19.2571	+	10.0272i	0.701302	+	0.365168i
$755$	32.3555	−	32.3555i	1.17754	−	1.17754i
$756$	−14.8343	+	23.1505i	−0.539518	+	0.841974i
$757$	−33.0169	−	33.0169i	−1.20002	−	1.20002i	−0.974160	−	0.225858i	$-0.927481\pi$
$757$	−33.0169	−	33.0169i	−1.20002	−	1.20002i	−0.225858	−	0.974160i	$-0.572519\pi$
$758$	7.08734	−	2.23381i	0.257424	−	0.0811358i
$759$	−11.1643	+	2.35088i	−0.405239	+	0.0853315i
$760$	27.3359	+	11.3330i	0.991579	+	0.411090i
$761$	1.28519	+	2.22601i	0.0465880	+	0.0806928i	0.888379	−	0.459111i	$-0.151832\pi$
$761$	1.28519	+	2.22601i	0.0465880	+	0.0806928i	−0.841791	+	0.539803i	$0.818499\pi$
$762$	28.8136	−	16.2258i	1.04381	−	0.587798i
$763$	17.4768	+	16.4763i	0.632702	+	0.596483i
$764$	6.21746	−	13.3261i	0.224940	−	0.482122i
$765$	7.55286	−	19.4545i	0.273074	−	0.703380i
$766$	−1.55797	−	35.7692i	−0.0562918	−	1.29239i
$767$	6.42780	−	11.1333i	0.232094	−	0.401999i
$768$	8.02988	+	26.5240i	0.289753	+	0.957101i
$769$	−3.79323			−0.136787			−0.0683936	−	0.997658i	$-0.521787\pi$
$769$	−3.79323			−0.136787			−0.0683936	+	0.997658i	$0.521787\pi$
$770$	−32.3828	+	2.36772i	−1.16699	+	0.0853266i
$771$	−20.1468	−	1.09425i	−0.725569	−	0.0394084i
$772$	−21.1278	+	1.84399i	−0.760405	+	0.0663667i
$773$	−13.8874	−	51.8285i	−0.499495	−	1.86414i	−0.503237	−	0.864148i	$-0.667858\pi$
$773$	−13.8874	−	51.8285i	−0.499495	−	1.86414i	0.00374221	−	0.999993i	$-0.498809\pi$
$774$	0.157994	+	0.179991i	0.00567897	+	0.00646965i
$775$	23.1605	+	40.1152i	0.831951	+	1.44098i
$776$	−1.99359	−	15.1796i	−0.0715656	−	0.544915i
$777$	−10.6921	+	36.2795i	−0.383578	+	1.30152i
$778$	7.09108	−	31.9700i	0.254228	−	1.14618i
$779$	2.38189	−	8.88935i	0.0853402	−	0.318494i
$780$	25.1337	+	40.4117i	0.899929	+	1.44697i
$781$	4.85247	+	18.1097i	0.173635	+	0.648015i
$782$	−6.62353	−	3.44887i	−0.236857	−	0.123331i
$783$	14.7393	−	10.5808i	0.526738	−	0.378128i
$784$	19.2213	+	20.3603i	0.686474	+	0.727154i
$785$		−	55.5782i		−	1.98367i
$786$	−8.16030	−	31.8166i	−0.291068	−	1.13486i
$787$	−12.6477	+	3.38895i	−0.450842	+	0.120803i	−0.477094	−	0.878853i	$-0.658310\pi$
$787$	−12.6477	+	3.38895i	−0.450842	+	0.120803i	0.0262511	+	0.999655i	$0.491643\pi$
$788$	9.41216	+	1.66165i	0.335294	+	0.0591937i
$789$	0.190748	+	0.376130i	0.00679082	+	0.0133906i
$790$	−52.9421	−	11.7428i	−1.88360	−	0.417790i
$791$	−16.5380	−	26.7901i	−0.588024	−	0.952545i
$792$	−16.2914	+	17.0267i	−0.578891	+	0.605018i
$793$	28.9373	−	16.7069i	1.02759	−	0.593281i
$794$	−30.3587	−	27.8244i	−1.07739	−	0.987453i
$795$	−40.1015	+	61.4948i	−1.42226	+	2.18099i
$796$	−20.0992	+	1.75422i	−0.712396	+	0.0621765i
$797$	26.8546	+	26.8546i	0.951238	+	0.951238i	0.998865	−	0.0476275i	$-0.0151661\pi$
$797$	26.8546	+	26.8546i	0.951238	+	0.951238i	−0.0476275	+	0.998865i	$0.515166\pi$
$798$	15.0539	−	15.6286i	0.532904	−	0.553246i
$799$		−	20.3939i		−	0.721484i
$800$	26.3107	−	5.81851i	0.930223	−	0.205716i
$801$	−20.0733	+	27.4088i	−0.709256	+	0.968444i
$802$	−40.8303	+	1.77841i	−1.44177	+	0.0627980i
$803$	−11.6024	−	3.10885i	−0.409440	−	0.109709i
$804$	0.974581	+	3.21193i	0.0343708	+	0.113276i
$805$	13.4507	−	14.2675i	0.474076	−	0.502863i
$806$	59.0285	+	13.0928i	2.07919	+	0.461173i
$807$	−10.2126	−	3.33973i	−0.359499	−	0.117564i
$808$	31.7739	−	13.1495i	1.11780	−	0.462598i
$809$	6.44485	−	11.1628i	0.226589	−	0.392463i	−0.730206	−	0.683227i	$-0.760576\pi$
$809$	6.44485	−	11.1628i	0.226589	−	0.392463i	0.956795	+	0.290764i	$0.0939093\pi$
$810$	39.6155	−	3.50663i	1.39195	−	0.123210i
$811$	10.6623	−	10.6623i	0.374405	−	0.374405i	−0.494674	−	0.869079i	$-0.664712\pi$
$811$	10.6623	−	10.6623i	0.374405	−	0.374405i	0.869079	+	0.494674i	$0.164712\pi$
$812$	−6.82450	−	17.1703i	−0.239493	−	0.602559i
$813$	−37.9354	−	2.06041i	−1.33045	−	0.0722618i
$814$	−14.9710	+	28.7517i	−0.524733	+	1.00775i
$815$	−7.06539	+	12.2376i	−0.247490	+	0.428665i
$816$	−15.3136	+	1.84424i	−0.536082	+	0.0645612i
$817$	−0.0945064	−	0.163690i	−0.00330636	−	0.00572679i
$818$	−5.20177	−	8.16703i	−0.181876	−	0.285553i
$819$	34.3163	−	6.34159i	1.19911	−	0.221593i
$820$	−5.87129	−	16.1417i	−0.205034	−	0.563694i
$821$	−24.0627	−	6.44758i	−0.839794	−	0.225022i	−0.186812	−	0.982396i	$-0.559816\pi$
$821$	−24.0627	−	6.44758i	−0.839794	−	0.225022i	−0.652982	+	0.757374i	$0.726482\pi$
$822$	41.2318	+	0.442506i	1.43813	+	0.0154342i
$823$	−0.888514	+	1.53895i	−0.0309717	+	0.0536445i	−0.881096	−	0.472938i	$-0.843193\pi$
$823$	−0.888514	+	1.53895i	−0.0309717	+	0.0536445i	0.850124	+	0.526582i	$0.176527\pi$
$824$	23.4491	−	17.9814i	0.816887	−	0.626413i
$825$	15.2997	+	17.0572i	0.532668	+	0.593854i
$826$	−10.3330	+	3.59466i	−0.359532	+	0.125074i
$827$	−12.0812	−	12.0812i	−0.420104	−	0.420104i	0.465136	−	0.885239i	$-0.346006\pi$
$827$	−12.0812	−	12.0812i	−0.420104	−	0.420104i	−0.885239	+	0.465136i	$0.846006\pi$
$828$	0.305425	−	14.2278i	0.0106142	−	0.494451i
$829$	1.00814	+	3.76244i	0.0350143	+	0.130675i	0.981221	−	0.192889i	$-0.0617857\pi$
$829$	1.00814	+	3.76244i	0.0350143	+	0.130675i	−0.946206	+	0.323564i	$0.895119\pi$
$830$	32.6391	−	1.42164i	1.13292	−	0.0493458i
$831$	−28.9361	−	9.46275i	−1.00378	−	0.328259i
$832$	17.6057	−	30.4499i	0.610369	−	1.05566i
$833$	−13.0140	+	8.57319i	−0.450907	+	0.297043i
$834$	−35.4872	−	9.91815i	−1.22882	−	0.343437i
$835$	11.2567	−	42.0108i	0.389556	−	1.45384i
$836$	15.2367	−	10.6641i	0.526972	−	0.368826i
$837$	32.0219	−	39.0859i	1.10684	−	1.35101i
$838$	−10.3373	+	3.25816i	−0.357098	+	0.112551i
$839$		−	37.5279i		−	1.29561i	−0.761807	−	0.647804i	$-0.775688\pi$
$839$		−	37.5279i		−	1.29561i	0.761807	−	0.647804i	$-0.224312\pi$
$840$	6.29307	−	40.0083i	0.217131	−	1.38042i
$841$		−	16.8074i		−	0.579566i
$842$	−3.45043	−	10.9474i	−0.118910	−	0.377271i
$843$	47.9597	+	31.2752i	1.65182	+	1.07717i
$844$	−7.84001	+	44.4086i	−0.269864	+	1.52861i
$845$	5.11968	−	19.1069i	0.176122	−	0.657297i
$846$	34.8487	−	17.2053i	1.19812	−	0.591531i
$847$	4.12486	−	7.65679i	0.141732	−	0.263091i
$848$	54.0517	+	4.75168i	1.85614	+	0.163173i
$849$	4.58571	−	14.0226i	0.157381	−	0.481255i
$850$	0.652622	+	14.9834i	0.0223847	+	0.513928i
$851$	−5.06665	−	18.9090i	−0.173683	−	0.648192i
$852$	−23.3732	+	0.766846i	−0.800753	+	0.0262717i
$853$	29.6637	+	29.6637i	1.01567	+	1.01567i	0.999875	+	0.0157899i	$0.00502630\pi$
$853$	29.6637	+	29.6637i	1.01567	+	1.01567i	0.0157899	+	0.999875i	$0.494974\pi$
$854$	−27.9306	−	5.33724i	−0.955767	−	0.182636i
$855$	−31.2025	−	3.39947i	−1.06710	−	0.116260i
$856$	−26.5358	−	3.50197i	−0.906976	−	0.119695i
$857$	−11.7072	+	20.2775i	−0.399911	+	0.692666i	−0.993715	−	0.111944i	$-0.964292\pi$
$857$	−11.7072	+	20.2775i	−0.399911	+	0.692666i	0.593804	+	0.804610i	$0.297626\pi$
$858$	29.9074	+	0.320970i	1.02102	+	0.0109577i
$859$	−38.7267	−	10.3768i	−1.32134	−	0.354051i	−0.471859	−	0.881674i	$-0.656417\pi$
$859$	−38.7267	−	10.3768i	−1.32134	−	0.354051i	−0.849479	+	0.527623i	$0.823084\pi$
$860$	−0.319691	−	0.149156i	−0.0109014	−	0.00508616i
$861$	−12.5914	−	0.312362i	−0.429114	−	0.0106453i
$862$	−0.567199	+	0.361263i	−0.0193189	+	0.0123047i
$863$	−5.46977	−	9.47392i	−0.186193	−	0.322496i	0.757785	−	0.652505i	$-0.226282\pi$
$863$	−5.46977	−	9.47392i	−0.186193	−	0.322496i	−0.943978	+	0.330009i	$0.892948\pi$
$864$	−16.0707	−	24.6116i	−0.546736	−	0.837305i
$865$	−12.1244	+	21.0001i	−0.412242	+	0.714024i
$866$	15.8265	+	8.24086i	0.537806	+	0.280036i
$867$	−1.13133	+	20.8295i	−0.0384218	+	0.707405i
$868$	−30.7337	−	41.2687i	−1.04317	−	1.40075i
$869$	−24.0992	+	24.0992i	−0.817509	+	0.817509i
$870$	−13.6104	+	23.0002i	−0.461435	+	0.779781i
$871$	2.13006	−	3.68938i	0.0721744	−	0.125010i
$872$	−23.7258	+	9.81883i	−0.803457	+	0.332507i
$873$	6.54841	+	14.8597i	0.221630	+	0.502926i
$874$	−2.43204	+	10.9648i	−0.0822650	+	0.370890i
$875$	1.90269	+	0.450203i	0.0643226	+	0.0152196i
$876$	7.06183	−	13.2140i	0.238597	−	0.446461i
$877$	32.8077	+	8.79079i	1.10784	+	0.296844i	0.765952	−	0.642898i	$-0.222268\pi$
$877$	32.8077	+	8.79079i	1.10784	+	0.296844i	0.341885	+	0.939742i	$0.388935\pi$
$878$	−0.760807	−	17.4672i	−0.0256760	−	0.589491i
$879$	19.5039	−	4.10696i	0.657850	−	0.138524i
$880$	11.8855	−	32.6128i	0.400661	−	1.09938i
$881$			9.18764i			0.309540i	0.987951	+	0.154770i	$0.0494636\pi$
$881$			9.18764i			0.309540i	−0.987951	+	0.154770i	$0.950536\pi$
$882$	−25.6289	−	15.0052i	−0.862971	−	0.505253i
$883$	16.1812	+	16.1812i	0.544540	+	0.544540i	0.924856	−	0.380316i	$-0.124185\pi$
$883$	16.1812	+	16.1812i	0.544540	+	0.544540i	−0.380316	+	0.924856i	$0.624185\pi$
$884$	14.9938	+	12.5867i	0.504297	+	0.423335i
$885$	13.2552	+	8.64391i	0.445570	+	0.290562i
$886$	10.3911	−	11.3375i	0.349094	−	0.380890i
$887$	−37.1685	+	21.4592i	−1.24800	+	0.720531i	−0.970710	−	0.240256i	$-0.922769\pi$
$887$	−37.1685	+	21.4592i	−1.24800	+	0.720531i	−0.277287	+	0.960787i	$0.589435\pi$
$888$	−30.6878	−	26.3276i	−1.02982	−	0.883496i
$889$	18.7621	+	30.3929i	0.629262	+	1.01935i
$890$	10.8362	−	48.8546i	0.363229	−	1.63761i
$891$	11.5163	−	22.1835i	0.385812	−	0.743176i
$892$	−39.5073	+	27.6510i	−1.32280	+	0.925824i
$893$	−29.6271	+	7.93856i	−0.991433	+	0.265654i
$894$	1.89113	+	7.37343i	0.0632489	+	0.246604i
$895$			1.04518i			0.0349365i
$896$	−28.2775	+	9.81735i	−0.944687	+	0.327975i
$897$	−13.4458	+	12.0604i	−0.448941	+	0.402686i
$898$	−0.0162741	+	0.0312543i	−0.000543074	+	0.00104297i
$899$	8.78814	+	32.7978i	0.293101	+	1.09387i
$900$	−25.0528	+	13.7560i	−0.835094	+	0.458532i
$901$	−7.81627	+	29.1707i	−0.260398	+	0.971817i
$902$	−10.5388	−	2.33755i	−0.350903	−	0.0778318i
$903$	−0.187399	+	0.178326i	−0.00623625	+	0.00593433i
$904$	33.3707	−	4.38270i	1.10989	−	0.145766i
$905$	21.2037	+	36.7258i	0.704834	+	1.22081i
$906$	35.8683	+	0.384943i	1.19164	+	0.0127889i
$907$	−2.12322	−	7.92397i	−0.0705004	−	0.263111i	0.921675	−	0.387963i	$-0.126821\pi$
$907$	−2.12322	−	7.92397i	−0.0705004	−	0.263111i	−0.992175	+	0.124852i	$0.960154\pi$
$908$	−0.701924	+	0.836165i	−0.0232942	+	0.0277491i
$909$	−28.4321	+	22.8455i	−0.943034	+	0.757737i
$910$	−42.5236	+	28.8793i	−1.40965	+	0.957340i
$911$	−47.3013			−1.56716			−0.783581	−	0.621290i	$-0.786609\pi$
$911$	−47.3013			−1.56716			−0.783581	+	0.621290i	$0.786609\pi$
$912$	8.64018	+	21.5288i	0.286105	+	0.712889i
$913$	10.2662	−	17.7815i	0.339760	−	0.588482i
$914$	48.2018	−	2.09949i	1.59437	−	0.0694449i
$915$	18.6033	+	36.6833i	0.615007	+	1.21271i
$916$	33.4983	−	12.1845i	1.10682	−	0.402586i
$917$	33.9839	−	10.1878i	1.12225	−	0.336431i
$918$	15.0406	−	6.43626i	0.496413	−	0.212428i
$919$	−18.1802	−	31.4890i	−0.599708	−	1.03873i	−0.992864	−	0.119253i	$-0.961950\pi$
$919$	−18.1802	−	31.4890i	−0.599708	−	1.03873i	0.393156	−	0.919472i	$-0.371383\pi$
$920$	8.01577	+	19.3690i	0.264272	+	0.638576i
$921$	−10.4934	−	49.8333i	−0.345771	−	1.64206i
$922$	7.36487	+	23.3669i	0.242549	+	0.769548i
$923$	20.9879	+	20.9879i	0.690825	+	0.690825i
$924$	−19.0831	−	16.8436i	−0.627789	−	0.554114i
$925$	−27.8002	+	27.8002i	−0.914066	+	0.914066i
$926$	17.2359	−	33.1015i	0.566408	−	1.08778i
$927$	−18.5188	+	25.2863i	−0.608237	+	0.830509i
$928$	19.7333	+	0.871907i	0.647777	+	0.0286218i
$929$	−24.6329	+	14.2218i	−0.808181	+	0.466603i	−0.846324	−	0.532669i	$-0.821189\pi$
$929$	−24.6329	+	14.2218i	−0.808181	+	0.466603i	0.0381431	+	0.999272i	$0.487856\pi$
$930$	−20.0335	+	71.6802i	−0.656926	+	2.35049i
$931$	17.5205	+	15.5687i	0.574210	+	0.510245i
$932$	1.14360	−	2.45112i	0.0374599	−	0.0802891i
$933$	9.71366	+	19.1540i	0.318011	+	0.627075i
$934$	−13.9666	−	12.8007i	−0.457002	−	0.418853i
$935$	16.7310	+	9.65963i	0.547161	+	0.315904i
$936$	−8.85830	+	36.2399i	−0.289543	+	1.18454i
$937$			10.0896i			0.329613i	0.986326	+	0.164806i	$0.0526999\pi$
$937$			10.0896i			0.329613i	−0.986326	+	0.164806i	$0.947300\pi$
$938$	−3.42418	+	1.19121i	−0.111804	+	0.0388944i
$939$	−26.4157	−	1.43474i	−0.862044	−	0.0468208i
$940$	−36.8066	+	43.8458i	−1.20050	+	1.43009i
$941$	19.4034	−	5.19911i	0.632531	−	0.169486i	0.0717132	−	0.997425i	$-0.477153\pi$
$941$	19.4034	−	5.19911i	0.632531	−	0.169486i	0.560818	+	0.827939i	$0.310487\pi$
$942$	31.1368	−	30.4755i	1.01449	−	0.992947i
$943$	5.64568	−	3.25953i	0.183849	−	0.106145i
$944$	1.02423	−	11.6509i	0.0333358	−	0.379203i
$945$	5.50377	+	42.6029i	0.179038	+	1.38587i
$946$	−0.187000	+	0.119105i	−0.00607990	+	0.00387243i
$947$	49.2826	+	13.2052i	1.60147	+	0.429112i	0.945486	−	0.325664i	$-0.105588\pi$
$947$	49.2826	+	13.2052i	1.60147	+	0.429112i	0.655983	+	0.754776i	$0.272254\pi$
$948$	−22.4514	−	36.0989i	−0.729186	−	1.17244i
$949$	−18.3681	+	4.92173i	−0.596255	+	0.159766i
$950$	21.5130	−	6.78056i	0.697975	−	0.219991i
$951$	24.4974	−	21.9734i	0.794384	−	0.712538i
$952$	−2.65498	−	16.4471i	−0.0860482	−	0.533055i
$953$	−18.7592			−0.607670			−0.303835	−	0.952725i	$-0.598267\pi$
$953$	−18.7592			−0.607670			−0.303835	+	0.952725i	$0.598267\pi$
$954$	−56.4406	+	11.2536i	−1.82733	+	0.364348i
$955$	−5.94619	−	22.1915i	−0.192414	−	0.718100i
$956$	7.58748	+	10.8409i	0.245397	+	0.350619i
$957$	7.59691	+	14.9801i	0.245573	+	0.484238i
$958$	−6.69820	+	4.26624i	−0.216409	+	0.137836i
$959$	1.31181	+	44.5187i	0.0423606	+	1.43758i
$960$	36.2518	+	23.6727i	1.17002	+	0.764033i
$961$	31.7798	+	55.0443i	1.02516	+	1.77562i
$962$	2.23313	+	51.2700i	0.0719990	+	1.65301i
$963$	28.0567	−	4.33449i	0.904115	−	0.139677i
$964$	−5.86898	+	0.512233i	−0.189027	+	0.0164979i
$965$	−23.4293	+	23.4293i	−0.754216	+	0.754216i
$966$	15.3686	−	0.287831i	0.494478	−	0.00926079i
$967$	32.1562			1.03407			0.517037	−	0.855963i	$-0.327035\pi$
$967$	32.1562			1.03407			0.517037	+	0.855963i	$0.327035\pi$
$968$	5.65775	+	7.37812i	0.181847	+	0.237142i
$969$	−12.6343	+	2.66041i	−0.405871	+	0.0854646i
$970$	−17.6334	−	16.1614i	−0.566173	−	0.518911i
$971$	−7.25406	+	27.0725i	−0.232794	+	0.868799i	0.746337	+	0.665568i	$0.231811\pi$
$971$	−7.25406	+	27.0725i	−0.232794	+	0.868799i	−0.979131	+	0.203231i	$0.934856\pi$
$972$	23.6872	+	20.2711i	0.759766	+	0.650197i
$973$	9.16409	−	38.7301i	0.293787	−	1.24163i
$974$	−40.2042	+	25.6070i	−1.28822	+	0.820500i
$975$	34.4783	+	11.2752i	1.10419	+	0.361094i
$976$	17.4468	−	24.8944i	0.558458	−	0.796851i
$977$	−25.0318	−	14.4521i	−0.800838	−	0.462364i	0.0429263	−	0.999078i	$-0.486332\pi$
$977$	−25.0318	−	14.4521i	−0.800838	−	0.462364i	−0.843764	+	0.536714i	$0.819665\pi$
$978$	−10.7301	+	2.75206i	−0.343112	+	0.0880012i
$979$	−22.2385	−	22.2385i	−0.710747	−	0.710747i
$980$	43.4521	+	5.05551i	1.38803	+	0.161493i
$981$	21.2305	−	17.0589i	0.677836	−	0.544648i
$982$	−10.8567	−	34.4457i	−0.346452	−	1.09921i
$983$	32.6464	+	18.8484i	1.04126	+	0.601171i	0.920190	−	0.391473i	$-0.128034\pi$
$983$	32.6464	+	18.8484i	1.04126	+	0.601171i	0.121069	+	0.992644i	$0.461368\pi$
$984$	5.82370	−	12.1404i	0.185653	−	0.387021i
$985$	12.9317	−	7.46615i	0.412040	−	0.237891i
$986$	−2.38060	+	10.7329i	−0.0758138	+	0.341805i
$987$	20.0812	+	36.8639i	0.639193	+	1.17339i
$988$	12.4487	−	26.6817i	0.396045	−	0.848858i
$989$	0.0346535	−	0.129329i	0.00110192	−	0.00411241i
$990$	−2.39111	+	36.7389i	−0.0759944	+	1.16764i
$991$	−6.74183	−	3.89240i	−0.214161	−	0.123646i	0.389083	−	0.921203i	$-0.372792\pi$
$991$	−6.74183	−	3.89240i	−0.214161	−	0.123646i	−0.603244	+	0.797557i	$0.706125\pi$
$992$	53.7106	−	11.8779i	1.70531	−	0.377124i
$993$	−2.44510	−	2.72596i	−0.0775930	−	0.0865058i
$994$	−1.84197	−	25.1923i	−0.0584238	−	0.799051i
$995$	−22.2886	+	22.2886i	−0.706597	+	0.706597i
$996$	18.6937	+	17.5060i	0.592332	+	0.554699i
$997$	−3.94297	+	1.05652i	−0.124875	+	0.0334602i	−0.320715	−	0.947176i	$-0.603923\pi$
$997$	−3.94297	+	1.05652i	−0.124875	+	0.0334602i	0.195840	+	0.980636i	$0.437257\pi$
$998$	−23.7195	+	25.8799i	−0.750828	+	0.819213i
$999$	39.0786	+	17.6666i	1.23639	+	0.558946i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.11.10	✓	240
3.2	odd	2	inner	336.2.bu.a.11.51	yes	240
7.2	even	3	inner	336.2.bu.a.107.31	yes	240
16.3	odd	4	inner	336.2.bu.a.179.30	yes	240
21.2	odd	6	inner	336.2.bu.a.107.30	yes	240
48.35	even	4	inner	336.2.bu.a.179.31	yes	240
112.51	odd	12	inner	336.2.bu.a.275.51	yes	240
336.275	even	12	inner	336.2.bu.a.275.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.10	✓	240	1.1	even	1	trivial
336.2.bu.a.11.51	yes	240	3.2	odd	2	inner
336.2.bu.a.107.30	yes	240	21.2	odd	6	inner
336.2.bu.a.107.31	yes	240	7.2	even	3	inner
336.2.bu.a.179.30	yes	240	16.3	odd	4	inner
336.2.bu.a.179.31	yes	240	48.35	even	4	inner
336.2.bu.a.275.10	yes	240	336.275	even	12	inner
336.2.bu.a.275.51	yes	240	112.51	odd	12	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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.25435 - 0.653142i) q^{2} +(-1.45082 - 0.946102i) q^{3} +(1.14681 + 1.63854i) q^{4} +(3.01819 + 0.808721i) q^{5} +(1.20191 + 2.13434i) q^{6} +(-2.25133 + 1.38979i) q^{7} +(-0.368304 - 2.80435i) q^{8} +(1.20978 + 2.74525i) q^{9} +O(q^{10})\)	\(q+(-1.25435 - 0.653142i) q^{2} +(-1.45082 - 0.946102i) q^{3} +(1.14681 + 1.63854i) q^{4} +(3.01819 + 0.808721i) q^{5} +(1.20191 + 2.13434i) q^{6} +(-2.25133 + 1.38979i) q^{7} +(-0.368304 - 2.80435i) q^{8} +(1.20978 + 2.74525i) q^{9} +(-3.25767 - 2.98573i) q^{10} +(-2.68256 + 0.718789i) q^{11} +(-0.113592 - 3.46224i) q^{12} +(-3.10891 + 3.10891i) q^{13} +(3.73170 - 0.272849i) q^{14} +(-3.61373 - 4.02883i) q^{15} +(-1.36965 + 3.75820i) q^{16} +(-1.92803 - 1.11315i) q^{17} +(0.275544 - 4.23368i) q^{18} +(-0.866610 + 3.23423i) q^{19} +(2.13616 + 5.87288i) q^{20} +(4.58117 + 0.113648i) q^{21} +(3.83435 + 0.850475i) q^{22} +(-2.05408 + 1.18592i) q^{23} +(-2.11885 + 4.41707i) q^{24} +(4.12531 + 2.38175i) q^{25} +(5.93023 - 1.86911i) q^{26} +(0.842106 - 5.12746i) q^{27} +(-4.85908 - 2.09508i) q^{28} +(2.46907 + 2.46907i) q^{29} +(1.90150 + 7.41385i) q^{30} +(8.42138 + 4.86209i) q^{31} +(4.17267 - 3.81954i) q^{32} +(4.57197 + 1.49514i) q^{33} +(1.69139 + 2.65556i) q^{34} +(-7.91889 + 2.37395i) q^{35} +(-3.11083 + 5.13057i) q^{36} +(-2.13616 + 7.97226i) q^{37} +(3.19945 - 3.49085i) q^{38} +(7.45182 - 1.56914i) q^{39} +(1.15632 - 8.76190i) q^{40} -2.74852 q^{41} +(-5.67218 - 3.13471i) q^{42} +(-0.0399162 + 0.0399162i) q^{43} +(-4.25415 - 3.57117i) q^{44} +(1.43121 + 9.26407i) q^{45} +(3.35112 - 0.145962i) q^{46} +(4.58024 + 7.93320i) q^{47} +(5.54276 - 4.15666i) q^{48} +(3.13698 - 6.25775i) q^{49} +(-3.61898 - 5.68197i) q^{50} +(1.74408 + 3.43909i) q^{51} +(-8.65940 - 1.52875i) q^{52} +(-3.51089 - 13.1028i) q^{53} +(-4.40526 + 5.88164i) q^{54} -8.67777 q^{55} +(4.72662 + 5.80164i) q^{56} +(4.31721 - 3.87240i) q^{57} +(-1.48443 - 4.70974i) q^{58} +(-2.82432 + 0.756774i) q^{59} +(2.45714 - 10.5416i) q^{60} +(-7.34088 - 1.96698i) q^{61} +(-7.38777 - 11.5991i) q^{62} +(-6.53895 - 4.49913i) q^{63} +(-7.72870 + 2.06571i) q^{64} +(-11.8975 + 6.86902i) q^{65} +(-4.75833 - 4.86158i) q^{66} +(-0.935931 + 0.250782i) q^{67} +(-0.387141 - 4.43572i) q^{68} +(4.10212 + 0.222801i) q^{69} +(11.4836 + 2.19439i) q^{70} -6.75090i q^{71} +(7.25307 - 4.40374i) q^{72} +(3.74567 + 2.16256i) q^{73} +(7.88652 - 8.60483i) q^{74} +(-3.73172 - 7.35845i) q^{75} +(-6.29327 + 2.28907i) q^{76} +(5.04036 - 5.34642i) q^{77} +(-10.3721 - 2.89884i) q^{78} +(10.6278 - 6.13595i) q^{79} +(-7.17320 + 10.2353i) q^{80} +(-6.07285 + 6.64233i) q^{81} +(3.44762 + 1.79517i) q^{82} +(-5.22779 + 5.22779i) q^{83} +(5.06751 + 7.63677i) q^{84} +(-4.91892 - 4.91892i) q^{85} +(0.0761400 - 0.0239981i) q^{86} +(-1.24620 - 5.91817i) q^{87} +(3.00373 + 7.25808i) q^{88} +(5.66221 + 9.80724i) q^{89} +(4.25551 - 12.5552i) q^{90} +(2.67845 - 11.3199i) q^{91} +(-4.29883 - 2.00567i) q^{92} +(-7.61792 - 15.0215i) q^{93} +(-0.563731 - 12.9426i) q^{94} +(-5.23119 + 9.06068i) q^{95} +(-9.66748 + 1.59371i) q^{96} +5.41288 q^{97} +(-8.02208 + 5.80054i) q^{98} +(-5.21857 - 6.49473i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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