LMFDB - Embedded newform 336.2.bq.b.205.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(37,336)]

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([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("336.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bq (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:	$120$
Relative dimension:	$30$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			205.10
Character	$\chi$	$=$	336.205
Dual form			336.2.bq.b.277.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.726923 + 1.21309i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(-0.943167 - 1.76364i) q^{4} +(-0.0368993 - 0.137710i) q^{5} +(-0.983612 - 1.01612i) q^{6} +(2.08565 - 1.62790i) q^{7} +(2.82506 + 0.137888i) q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.726923 + 1.21309i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(-0.943167 - 1.76364i) q^{4} +(-0.0368993 - 0.137710i) q^{5} +(-0.983612 - 1.01612i) q^{6} +(2.08565 - 1.62790i) q^{7} +(2.82506 + 0.137888i) q^{8} +(-0.866025 - 0.500000i) q^{9} +(0.193877 + 0.0553424i) q^{10} +(4.82651 + 1.29326i) q^{11} +(1.94766 - 0.454564i) q^{12} +(-0.0957679 - 0.0957679i) q^{13} +(0.458686 + 3.71344i) q^{14} +0.142568 q^{15} +(-2.22087 + 3.32682i) q^{16} +(2.58943 + 4.48502i) q^{17} +(1.23608 - 0.687104i) q^{18} +(-2.38110 + 0.638013i) q^{19} +(-0.208069 + 0.194961i) q^{20} +(1.03263 + 2.43591i) q^{21} +(-5.07734 + 4.91489i) q^{22} +(-4.16740 - 2.40605i) q^{23} +(-0.864370 + 2.69311i) q^{24} +(4.31252 - 2.48984i) q^{25} +(0.185791 - 0.0465591i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-4.83816 - 2.14295i) q^{28} +(6.22873 + 6.22873i) q^{29} +(-0.103636 + 0.172947i) q^{30} +(-2.44044 - 4.22696i) q^{31} +(-2.42132 - 5.11246i) q^{32} +(-2.49839 + 4.32733i) q^{33} +(-7.32303 - 0.119059i) q^{34} +(-0.301137 - 0.227146i) q^{35} +(-0.0650154 + 1.99894i) q^{36} +(1.34243 + 5.01001i) q^{37} +(0.956907 - 3.35226i) q^{38} +(0.117291 - 0.0677181i) q^{39} +(-0.0852542 - 0.394127i) q^{40} +5.89239i q^{41} +(-3.70562 - 0.518051i) q^{42} +(-0.390746 + 0.390746i) q^{43} +(-2.27136 - 9.73201i) q^{44} +(-0.0368993 + 0.137710i) q^{45} +(5.94812 - 3.30641i) q^{46} +(1.18744 - 2.05670i) q^{47} +(-2.63866 - 3.00624i) q^{48} +(1.69986 - 6.79047i) q^{49} +(-0.114480 + 7.04139i) q^{50} +(-5.00239 + 1.34039i) q^{51} +(-0.0785753 + 0.259225i) q^{52} +(-2.45604 - 0.658095i) q^{53} +(0.343771 + 1.37180i) q^{54} -0.712379i q^{55} +(6.11656 - 4.31135i) q^{56} -2.46509i q^{57} +(-12.0838 + 3.02820i) q^{58} +(7.81641 + 2.09440i) q^{59} +(-0.134465 - 0.251439i) q^{60} +(4.39581 - 1.17785i) q^{61} +(6.90169 + 0.112209i) q^{62} +(-2.62018 + 0.366982i) q^{63} +(7.96197 + 0.779085i) q^{64} +(-0.00965443 + 0.0167220i) q^{65} +(-3.43330 - 6.17640i) q^{66} +(-0.0763279 + 0.284860i) q^{67} +(5.46771 - 8.79694i) q^{68} +(3.40267 - 3.40267i) q^{69} +(0.494452 - 0.200189i) q^{70} -9.82085i q^{71} +(-2.37763 - 1.53195i) q^{72} +(-12.3493 + 7.12989i) q^{73} +(-7.05342 - 2.01341i) q^{74} +(1.28883 + 4.81000i) q^{75} +(3.37100 + 3.59765i) q^{76} +(12.1717 - 5.15981i) q^{77} +(-0.00311360 + 0.191511i) q^{78} +(5.01195 - 8.68095i) q^{79} +(0.540084 + 0.183079i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-7.14799 - 4.28331i) q^{82} +(-1.66074 - 1.66074i) q^{83} +(3.32214 - 4.11866i) q^{84} +(0.522083 - 0.522083i) q^{85} +(-0.189967 - 0.758051i) q^{86} +(-7.62861 + 4.40438i) q^{87} +(13.4569 + 4.31906i) q^{88} +(-10.5430 - 6.08701i) q^{89} +(-0.140231 - 0.144867i) q^{90} +(-0.355639 - 0.0438372i) q^{91} +(-0.312860 + 9.61910i) q^{92} +(4.71457 - 1.26326i) q^{93} +(1.63178 + 2.93552i) q^{94} +(0.175721 + 0.304358i) q^{95} +(5.56494 - 1.01562i) q^{96} +12.5887 q^{97} +(7.00177 + 6.99823i) q^{98} +(-3.53325 - 3.53325i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.726923	+	1.21309i	−0.514012	+	0.857783i
$2$	−0.726923	+	1.21309i	−0.514012	+	0.857783i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$3$	−0.258819	+	0.965926i	−0.149429	+	0.557678i
$4$	−0.943167	−	1.76364i	−0.471583	−	0.881822i
$5$	−0.0368993	−	0.137710i	−0.0165019	−	0.0615857i	0.957184	−	0.289480i	$-0.0934825\pi$
$5$	−0.0368993	−	0.137710i	−0.0165019	−	0.0615857i	−0.973686	+	0.227895i	$0.926816\pi$
$6$	−0.983612	−	1.01612i	−0.401558	−	0.414831i
$7$	2.08565	−	1.62790i	0.788301	−	0.615290i
$7$	2.08565	−	1.62790i	0.788301	−	0.615290i
$8$	2.82506	+	0.137888i	0.998811	+	0.0487508i
$9$	−0.866025	−	0.500000i	−0.288675	−	0.166667i
$10$	0.193877	+	0.0553424i	0.0613094	+	0.0175008i
$11$	4.82651	+	1.29326i	1.45525	+	0.389933i	0.897846	−	0.440310i	$-0.145131\pi$
$11$	4.82651	+	1.29326i	1.45525	+	0.389933i	0.557402	+	0.830242i	$0.311798\pi$
$12$	1.94766	−	0.454564i	0.562240	−	0.131221i
$13$	−0.0957679	−	0.0957679i	−0.0265612	−	0.0265612i	0.693701	−	0.720263i	$-0.255979\pi$
$13$	−0.0957679	−	0.0957679i	−0.0265612	−	0.0265612i	−0.720263	+	0.693701i	$0.755979\pi$
$14$	0.458686	+	3.71344i	0.122589	+	0.992458i
$15$	0.142568			0.0368108
$16$	−2.22087	+	3.32682i	−0.555218	+	0.831705i
$17$	2.58943	+	4.48502i	0.628028	+	1.08778i	0.987947	+	0.154793i	$0.0494710\pi$
$17$	2.58943	+	4.48502i	0.628028	+	1.08778i	−0.359919	+	0.932984i	$0.617196\pi$
$18$	1.23608	−	0.687104i	0.291346	−	0.161952i
$19$	−2.38110	+	0.638013i	−0.546261	+	0.146370i	−0.521387	−	0.853320i	$-0.674585\pi$
$19$	−2.38110	+	0.638013i	−0.546261	+	0.146370i	−0.0248740	+	0.999691i	$0.507918\pi$
$20$	−0.208069	+	0.194961i	−0.0465256	+	0.0435945i
$21$	1.03263	+	2.43591i	0.225338	+	0.531560i
$22$	−5.07734	+	4.91489i	−1.08249	+	1.04786i
$23$	−4.16740	−	2.40605i	−0.868962	−	0.501696i	−0.00195903	−	0.999998i	$-0.500624\pi$
$23$	−4.16740	−	2.40605i	−0.868962	−	0.501696i	−0.867003	+	0.498302i	$0.833957\pi$
$24$	−0.864370	+	2.69311i	−0.176439	+	0.549730i
$25$	4.31252	−	2.48984i	0.862505	−	0.497967i
$26$	0.185791	−	0.0465591i	0.0364366	−	0.00913098i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−4.83816	−	2.14295i	−0.914325	−	0.404980i
$29$	6.22873	+	6.22873i	1.15665	+	1.15665i	0.985192	+	0.171455i	$0.0548468\pi$
$29$	6.22873	+	6.22873i	1.15665	+	1.15665i	0.171455	+	0.985192i	$0.445153\pi$
$30$	−0.103636	+	0.172947i	−0.0189212	+	0.0315757i
$31$	−2.44044	−	4.22696i	−0.438316	−	0.759185i	0.559244	−	0.829003i	$-0.311092\pi$
$31$	−2.44044	−	4.22696i	−0.438316	−	0.759185i	−0.997560	+	0.0698179i	$0.977758\pi$
$32$	−2.42132	−	5.11246i	−0.428033	−	0.903763i
$33$	−2.49839	+	4.32733i	−0.434913	+	0.753292i
$34$	−7.32303	−	0.119059i	−1.25589	−	0.0204184i
$35$	−0.301137	−	0.227146i	−0.0509015	−	0.0383947i
$36$	−0.0650154	+	1.99894i	−0.0108359	+	0.333157i
$37$	1.34243	+	5.01001i	0.220694	+	0.823640i	0.984084	+	0.177703i	$0.0568666\pi$
$37$	1.34243	+	5.01001i	0.220694	+	0.823640i	−0.763390	+	0.645937i	$0.776467\pi$
$38$	0.956907	−	3.35226i	0.155231	−	0.543809i
$39$	0.117291	−	0.0677181i	0.0187816	−	0.0108436i
$40$	−0.0852542	−	0.394127i	−0.0134799	−	0.0623170i
$41$			5.89239i			0.920237i	0.887858	+	0.460118i	$0.152193\pi$
$41$			5.89239i			0.920237i	−0.887858	+	0.460118i	$0.847807\pi$
$42$	−3.70562	−	0.518051i	−0.571790	−	0.0799371i
$43$	−0.390746	+	0.390746i	−0.0595882	+	0.0595882i	−0.736273	−	0.676685i	$-0.763416\pi$
$43$	−0.390746	+	0.390746i	−0.0595882	+	0.0595882i	0.676685	+	0.736273i	$0.263416\pi$
$44$	−2.27136	−	9.73201i	−0.342420	−	1.46715i
$45$	−0.0368993	+	0.137710i	−0.00550062	+	0.0205286i
$46$	5.94812	−	3.30641i	0.877003	−	0.487503i
$47$	1.18744	−	2.05670i	0.173205	−	0.300000i	−0.766333	−	0.642443i	$-0.777921\pi$
$47$	1.18744	−	2.05670i	0.173205	−	0.300000i	0.939539	+	0.342443i	$0.111254\pi$
$48$	−2.63866	−	3.00624i	−0.380857	−	0.433914i
$49$	1.69986	−	6.79047i	0.242837	−	0.970067i
$50$	−0.114480	+	7.04139i	−0.0161899	+	0.995803i
$51$	−5.00239	+	1.34039i	−0.700474	+	0.187691i
$52$	−0.0785753	+	0.259225i	−0.0108964	+	0.0359481i
$53$	−2.45604	−	0.658095i	−0.337363	−	0.0903963i	0.0861602	−	0.996281i	$-0.472540\pi$
$53$	−2.45604	−	0.658095i	−0.337363	−	0.0903963i	−0.423524	+	0.905885i	$0.639207\pi$
$54$	0.343771	+	1.37180i	0.0467813	+	0.186678i
$55$		−	0.712379i		−	0.0960572i
$56$	6.11656	−	4.31135i	0.817360	−	0.576128i
$57$		−	2.46509i		−	0.326509i
$58$	−12.0838	+	3.02820i	−1.58668	+	0.397622i
$59$	7.81641	+	2.09440i	1.01761	+	0.272668i	0.728806	−	0.684721i	$-0.240076\pi$
$59$	7.81641	+	2.09440i	1.01761	+	0.272668i	0.288804	+	0.957388i	$0.406742\pi$
$60$	−0.134465	−	0.251439i	−0.0173594	−	0.0324606i
$61$	4.39581	−	1.17785i	0.562826	−	0.150809i	0.0338216	−	0.999428i	$-0.489232\pi$
$61$	4.39581	−	1.17785i	0.562826	−	0.150809i	0.529004	+	0.848619i	$0.322566\pi$
$62$	6.90169	+	0.112209i	0.876516	+	0.0142505i
$63$	−2.62018	+	0.366982i	−0.330111	+	0.0462354i
$64$	7.96197	+	0.779085i	0.995247	+	0.0973856i
$65$	−0.00965443	+	0.0167220i	−0.00119748	+	0.00207410i
$66$	−3.43330	−	6.17640i	−0.422610	−	0.760262i
$67$	−0.0763279	+	0.284860i	−0.00932494	+	0.0348011i	−0.970432	−	0.241376i	$-0.922401\pi$
$67$	−0.0763279	+	0.284860i	−0.00932494	+	0.0348011i	0.961107	+	0.276178i	$0.0890678\pi$
$68$	5.46771	−	8.79694i	0.663057	−	1.06679i
$69$	3.40267	−	3.40267i	0.409633	−	0.409633i
$70$	0.494452	−	0.200189i	0.0590983	−	0.0239271i
$71$		−	9.82085i		−	1.16552i	−0.812644	−	0.582760i	$-0.801973\pi$
$71$		−	9.82085i		−	1.16552i	0.812644	−	0.582760i	$-0.198027\pi$
$72$	−2.37763	−	1.53195i	−0.280207	−	0.180542i
$73$	−12.3493	+	7.12989i	−1.44538	+	0.834491i	−0.998201	−	0.0599535i	$-0.980905\pi$
$73$	−12.3493	+	7.12989i	−1.44538	+	0.834491i	−0.447179	+	0.894444i	$0.647571\pi$
$74$	−7.05342	−	2.01341i	−0.819944	−	0.234054i
$75$	1.28883	+	4.81000i	0.148822	+	0.555411i
$76$	3.37100	+	3.59765i	0.386680	+	0.412679i
$77$	12.1717	−	5.15981i	1.38710	−	0.588015i
$78$	−0.00311360	+	0.191511i	−0.000352546	+	0.0216843i
$79$	5.01195	−	8.68095i	0.563888	−	0.976683i	−0.433264	−	0.901267i	$-0.642638\pi$
$79$	5.01195	−	8.68095i	0.563888	−	0.976683i	0.997152	−	0.0754162i	$-0.0240285\pi$
$80$	0.540084	+	0.183079i	0.0603833	+	0.0204689i
$81$	0.500000	+	0.866025i	0.0555556	+	0.0962250i
$82$	−7.14799	−	4.28331i	−0.789363	−	0.473013i
$83$	−1.66074	−	1.66074i	−0.182290	−	0.182290i	0.610063	−	0.792353i	$-0.291144\pi$
$83$	−1.66074	−	1.66074i	−0.182290	−	0.182290i	−0.792353	+	0.610063i	$0.791144\pi$
$84$	3.32214	−	4.11866i	0.362475	−	0.449383i
$85$	0.522083	−	0.522083i	0.0566279	−	0.0566279i
$86$	−0.189967	−	0.758051i	−0.0204847	−	0.0817428i
$87$	−7.62861	+	4.40438i	−0.817873	+	0.472199i
$88$	13.4569	+	4.31906i	1.43451	+	0.460413i
$89$	−10.5430	−	6.08701i	−1.11756	−	0.645222i	−0.176781	−	0.984250i	$-0.556569\pi$
$89$	−10.5430	−	6.08701i	−1.11756	−	0.645222i	−0.940776	+	0.339028i	$0.889902\pi$
$90$	−0.140231	−	0.144867i	−0.0147817	−	0.0152703i
$91$	−0.355639	−	0.0438372i	−0.0372811	−	0.00459539i
$92$	−0.312860	+	9.61910i	−0.0326179	+	1.00286i
$93$	4.71457	−	1.26326i	0.488878	−	0.130994i
$94$	1.63178	+	2.93552i	0.168306	+	0.302776i
$95$	0.175721	+	0.304358i	0.0180286	+	0.0312265i
$96$	5.56494	−	1.01562i	0.567969	−	0.103656i
$97$	12.5887			1.27819			0.639093	−	0.769130i	$-0.279310\pi$
$97$	12.5887			1.27819			0.639093	+	0.769130i	$0.279310\pi$
$98$	7.00177	+	6.99823i	0.707286	+	0.706927i
$99$	−3.53325	−	3.53325i	−0.355105	−	0.355105i
$100$	−8.45861	−	5.25742i	−0.845861	−	0.525742i
$101$	−7.54643	−	2.02206i	−0.750898	−	0.201203i	−0.136982	−	0.990574i	$-0.543740\pi$
$101$	−7.54643	−	2.02206i	−0.750898	−	0.201203i	−0.613916	+	0.789371i	$0.710407\pi$
$102$	2.01034	−	7.04269i	0.199054	−	0.697330i
$103$	−15.5354	−	8.96935i	−1.53075	−	0.883776i	−0.999328	−	0.0366662i	$-0.988326\pi$
$103$	−15.5354	−	8.96935i	−1.53075	−	0.883776i	−0.531418	−	0.847110i	$-0.678340\pi$
$104$	−0.257345	−	0.283756i	−0.0252348	−	0.0278245i
$105$	0.297346	−	0.232087i	0.0290180	−	0.0226493i
$106$	2.58368	−	2.50101i	0.250949	−	0.242920i
$107$	−0.582469	−	2.17380i	−0.0563094	−	0.210149i	0.932039	−	0.362358i	$-0.118028\pi$
$107$	−0.582469	−	2.17380i	−0.0563094	−	0.210149i	−0.988348	+	0.152208i	$0.951361\pi$
$108$	−1.91400	−	0.580165i	−0.184175	−	0.0558264i
$109$	5.13607	−	19.1681i	0.491946	−	1.83597i	−0.0545581	−	0.998511i	$-0.517375\pi$
$109$	5.13607	−	19.1681i	0.491946	−	1.83597i	0.546504	−	0.837456i	$-0.315958\pi$
$110$	0.864179	+	0.517845i	0.0823962	+	0.0493745i
$111$	−5.18674			−0.492304
$112$	0.783779	+	10.5539i	0.0740601	+	0.997254i
$113$	−9.33529			−0.878190			−0.439095	−	0.898441i	$-0.644701\pi$
$113$	−9.33529			−0.878190			−0.439095	+	0.898441i	$0.644701\pi$
$114$	2.99037	+	1.79193i	0.280074	+	0.167830i
$115$	−0.177563	+	0.662673i	−0.0165578	+	0.0617946i
$116$	5.11053	−	16.8600i	0.474501	−	1.56541i
$117$	0.0350535	+	0.130821i	0.00324070	+	0.0120944i
$118$	−8.22262	+	7.95952i	−0.756953	+	0.732734i
$119$	12.7018	+	5.13883i	1.16437	+	0.471076i
$120$	0.402763	+	0.0196584i	0.0367671	+	0.00179456i
$121$	12.0964	+	6.98387i	1.09967	+	0.634898i
$122$	−1.76657	+	6.18871i	−0.159938	+	0.560300i
$123$	−5.69161	−	1.52506i	−0.513195	−	0.137510i
$124$	−5.15312	+	8.29079i	−0.462764	+	0.744535i
$125$	−1.00606	−	1.00606i	−0.0899845	−	0.0899845i
$126$	1.45948	−	3.44527i	0.130021	−	0.306929i
$127$	0.499655			0.0443372			0.0221686	−	0.999754i	$-0.492943\pi$
$127$	0.499655			0.0443372			0.0221686	+	0.999754i	$0.492943\pi$
$128$	−6.73284	+	9.09224i	−0.595105	+	0.803648i
$129$	−0.276299	−	0.478564i	−0.0243268	−	0.0421352i
$130$	−0.0132672	−	0.0238672i	−0.00116361	−	0.00209330i
$131$	−21.0272	+	5.63421i	−1.83715	+	0.492264i	−0.998617	−	0.0525820i	$-0.983255\pi$
$131$	−21.0272	+	5.63421i	−1.83715	+	0.492264i	−0.838536	+	0.544846i	$0.816588\pi$
$132$	9.98827	+	0.324867i	0.869367	+	0.0282761i
$133$	−3.92750	+	5.20686i	−0.340558	+	0.451492i
$134$	−0.290075	−	0.299663i	−0.0250587	−	0.0258870i
$135$	−0.123467	−	0.0712839i	−0.0106264	−	0.00613514i
$136$	6.69686	+	13.0275i	0.574251	+	1.11710i
$137$	−18.9386	+	10.9342i	−1.61803	+	0.934170i	−0.630602	+	0.776107i	$0.717192\pi$
$137$	−18.9386	+	10.9342i	−1.61803	+	0.934170i	−0.987429	+	0.158064i	$0.949475\pi$
$138$	1.65426	+	6.60121i	0.140820	+	0.561932i
$139$	−13.4424	+	13.4424i	−1.14017	+	1.14017i	−0.151750	+	0.988419i	$0.548491\pi$
$139$	−13.4424	+	13.4424i	−1.14017	+	1.14017i	−0.988419	+	0.151750i	$0.951509\pi$
$140$	−0.116582	+	0.745335i	−0.00985296	+	0.0629923i
$141$	1.67929	+	1.67929i	0.141421	+	0.141421i
$142$	11.9136	+	7.13900i	0.999764	+	0.599092i
$143$	−0.338372	−	0.586078i	−0.0282961	−	0.0490103i
$144$	3.58674	−	1.77067i	0.298895	−	0.147556i
$145$	0.627923	−	1.08759i	0.0521462	−	0.0903198i
$146$	0.327825	−	20.1637i	0.0271310	−	1.66876i
$147$	6.11913	+	3.39944i	0.504698	+	0.280381i
$148$	7.56973	−	7.09284i	0.622228	−	0.583027i
$149$	3.86649	+	14.4299i	0.316755	+	1.18215i	0.922345	+	0.386368i	$0.126271\pi$
$149$	3.86649	+	14.4299i	0.316755	+	1.18215i	−0.605590	+	0.795777i	$0.707063\pi$
$150$	−6.77183	−	1.93303i	−0.552918	−	0.157831i
$151$	7.48900	−	4.32378i	0.609446	−	0.351864i	−0.163303	−	0.986576i	$-0.552215\pi$
$151$	7.48900	−	4.32378i	0.609446	−	0.351864i	0.772749	+	0.634712i	$0.218881\pi$
$152$	−6.81472	+	1.47410i	−0.552747	+	0.119565i
$153$		−	5.17885i		−	0.418685i
$154$	−2.58859	+	18.5161i	−0.208594	+	1.49207i
$155$	−0.492045	+	0.492045i	−0.0395220	+	0.0395220i
$156$	−0.230056	−	0.142990i	−0.0184192	−	0.0114484i
$157$	−1.41707	+	5.28857i	−0.113094	+	0.422074i	−0.999137	−	0.0415292i	$-0.986777\pi$
$157$	−1.41707	+	5.28857i	−0.113094	+	0.422074i	0.886043	+	0.463603i	$0.153444\pi$
$158$	6.88746	+	12.3903i	0.547937	+	0.985721i
$159$	1.27134	−	2.20203i	0.100824	−	0.174632i
$160$	−0.614691	+	0.522086i	−0.0485956	+	0.0412745i
$161$	−12.6085	+	1.76595i	−0.993692	+	0.139177i
$162$	−1.41403	−	0.0229894i	−0.111096	−	0.00180622i
$163$	11.6301	−	3.11628i	0.910940	−	0.244086i	0.227231	−	0.973841i	$-0.427033\pi$
$163$	11.6301	−	3.11628i	0.910940	−	0.244086i	0.683709	+	0.729755i	$0.260366\pi$
$164$	10.3921	−	5.55750i	0.811484	−	0.433968i
$165$	0.688105	+	0.184377i	0.0535689	+	0.0143537i
$166$	3.22185	−	0.807394i	0.250064	−	0.0626659i
$167$			8.87082i			0.686444i	0.939254	+	0.343222i	$0.111518\pi$
$167$			8.87082i			0.686444i	−0.939254	+	0.343222i	$0.888482\pi$
$168$	2.58136	+	7.02400i	0.199156	+	0.541913i
$169$		−	12.9817i		−	0.998589i
$170$	0.253819	+	1.01285i	0.0194670	+	0.0776818i
$171$	2.38110	+	0.638013i	0.182087	+	0.0487900i
$172$	1.05767	+	0.320598i	0.0806469	+	0.0244453i
$173$	−10.1567	+	2.72147i	−0.772197	+	0.206910i	−0.623342	−	0.781949i	$-0.714225\pi$
$173$	−10.1567	+	2.72147i	−0.772197	+	0.206910i	−0.148855	+	0.988859i	$0.547559\pi$
$174$	0.202509	−	12.4558i	0.0153521	−	0.944274i
$175$	4.94119	−	12.2133i	0.373519	−	0.923239i
$176$	−15.0215	+	13.1848i	−1.13229	+	0.993839i
$177$	−4.04607	+	7.00800i	−0.304121	+	0.526753i
$178$	15.0480	−	8.36482i	1.12790	−	0.626970i
$179$	3.94689	−	14.7300i	0.295005	−	1.10097i	−0.646209	−	0.763161i	$-0.723646\pi$
$179$	3.94689	−	14.7300i	0.295005	−	1.10097i	0.941214	−	0.337812i	$-0.109687\pi$
$180$	0.277673	−	0.0648063i	0.0206965	−	0.00483037i
$181$	8.14761	−	8.14761i	0.605607	−	0.605607i	−0.336188	−	0.941795i	$-0.609138\pi$
$181$	8.14761	−	8.14761i	0.605607	−	0.605607i	0.941795	+	0.336188i	$0.109138\pi$
$182$	0.311701	−	0.399555i	0.0231048	−	0.0296170i
$183$			4.55088i			0.336411i
$184$	−11.4414	−	7.37187i	−0.843471	−	0.543462i
$185$	0.640393	−	0.369731i	0.0470826	−	0.0271832i
$186$	−1.89467	+	6.63748i	−0.138924	+	0.486684i
$187$	6.69760	+	24.9958i	0.489777	+	1.82787i
$188$	−4.74723	−	0.154403i	−0.346227	−	0.0112610i
$189$	0.323674	−	2.62588i	0.0235438	−	0.191005i
$190$	−0.496949	−	0.00807947i	−0.0360525	−	0.000586146i
$191$	5.29941	−	9.17886i	0.383452	−	0.664159i	−0.608101	−	0.793860i	$-0.708068\pi$
$191$	5.29941	−	9.17886i	0.383452	−	0.664159i	0.991553	+	0.129701i	$0.0414018\pi$
$192$	−2.81325	+	7.48903i	−0.203029	+	0.540474i
$193$	3.18069	+	5.50912i	0.228951	+	0.396555i	0.957498	−	0.288441i	$-0.0931371\pi$
$193$	3.18069	+	5.50912i	0.228951	+	0.396555i	−0.728546	+	0.684996i	$0.759804\pi$
$194$	−9.15099	+	15.2712i	−0.657003	+	1.09641i
$195$	−0.0136534	−	0.0136534i	−0.000977742	−	0.000977742i
$196$	−13.5792	+	3.40660i	−0.969944	+	0.243329i
$197$	−6.69371	+	6.69371i	−0.476907	+	0.476907i	−0.904141	−	0.427234i	$-0.859488\pi$
$197$	−6.69371	+	6.69371i	−0.476907	+	0.476907i	0.427234	+	0.904141i	$0.359488\pi$
$198$	6.85455	−	1.71775i	0.487132	−	0.122075i
$199$	−17.8398	+	10.2998i	−1.26463	+	0.730133i	−0.973966	−	0.226693i	$-0.927209\pi$
$199$	−17.8398	+	10.2998i	−1.26463	+	0.730133i	−0.290661	+	0.956826i	$0.593875\pi$
$200$	12.5265	−	6.43930i	0.885756	−	0.455328i
$201$	−0.255398	−	0.147454i	−0.0180144	−	0.0104006i
$202$	7.93861	−	7.68461i	0.558559	−	0.540687i
$203$	23.1307	+	2.85117i	1.62346	+	0.200113i
$204$	7.08204	+	7.55822i	0.495842	+	0.529181i
$205$	0.811440	−	0.217425i	0.0566735	−	0.0151856i
$206$	22.1736	−	12.3257i	1.54491	−	0.858776i
$207$	2.40605	+	4.16740i	0.167232	+	0.289654i
$208$	0.531291	−	0.105914i	0.0368384	−	0.00734381i
$209$	−12.3175			−0.852020
$210$	0.0653938	+	0.529416i	0.00451260	+	0.0365332i
$211$	0.464512	+	0.464512i	0.0319783	+	0.0319783i	0.722915	−	0.690937i	$-0.242802\pi$
$211$	0.464512	+	0.464512i	0.0319783	+	0.0319783i	−0.690937	+	0.722915i	$0.742802\pi$
$212$	1.15581	+	4.95228i	0.0793816	+	0.340124i
$213$	9.48622	+	2.54182i	0.649985	+	0.174163i
$214$	3.06042	+	0.873601i	0.209206	+	0.0597181i
$215$	0.0682278	+	0.0393913i	0.00465310	+	0.00268647i
$216$	2.09512	−	1.90012i	0.142555	−	0.129287i
$217$	−11.9710	−	4.84316i	−0.812644	−	0.328775i
$218$	19.5190	+	20.1642i	1.32200	+	1.36569i
$219$	−3.69070	−	13.7739i	−0.249395	−	0.930754i
$220$	−1.25638	+	0.671892i	−0.0847053	+	0.0452990i
$221$	0.181537	−	0.677504i	0.0122115	−	0.0455739i
$222$	3.77036	−	6.29198i	0.253050	−	0.422290i
$223$	−8.48668			−0.568310			−0.284155	−	0.958778i	$-0.591713\pi$
$223$	−8.48668			−0.568310			−0.284155	+	0.958778i	$0.591713\pi$
$224$	−13.3726	−	6.72111i	−0.893495	−	0.449073i
$225$	−4.97967			−0.331978
$226$	6.78603	−	11.3245i	0.451400	−	0.753296i
$227$	−2.08286	+	7.77334i	−0.138244	+	0.515935i	0.861719	+	0.507386i	$0.169388\pi$
$227$	−2.08286	+	7.77334i	−0.138244	+	0.515935i	−0.999963	+	0.00854926i	$0.997279\pi$
$228$	−4.34754	+	2.32499i	−0.287923	+	0.153976i
$229$	0.207511	+	0.774442i	0.0137127	+	0.0511766i	0.972443	−	0.233140i	$-0.0749000\pi$
$229$	0.207511	+	0.774442i	0.0137127	+	0.0511766i	−0.958730	+	0.284316i	$0.908233\pi$
$230$	−0.674807	−	0.697112i	−0.0444954	−	0.0459662i
$231$	1.83373	+	13.0924i	0.120650	+	0.861419i
$232$	16.7377	+	18.4554i	1.09888	+	1.21166i
$233$	−1.53596	−	0.886785i	−0.100624	−	0.0580952i	0.448844	−	0.893610i	$-0.351836\pi$
$233$	−1.53596	−	0.886785i	−0.100624	−	0.0580952i	−0.549467	+	0.835515i	$0.685169\pi$
$234$	−0.184179	−	0.0525741i	−0.0120402	−	0.00343688i
$235$	−0.327043	−	0.0876310i	−0.0213339	−	0.00571641i
$236$	−3.67840	−	15.7607i	−0.239443	−	1.02594i
$237$	7.08797	+	7.08797i	0.460413	+	0.460413i
$238$	−15.4671	+	11.6729i	−1.00258	+	0.756640i
$239$	−14.1393			−0.914593			−0.457296	−	0.889314i	$-0.651182\pi$
$239$	−14.1393			−0.914593			−0.457296	+	0.889314i	$0.651182\pi$
$240$	−0.316625	+	0.474297i	−0.0204381	+	0.0306157i
$241$	0.181691	+	0.314699i	0.0117038	+	0.0202715i	0.871818	−	0.489830i	$-0.162941\pi$
$241$	0.181691	+	0.314699i	0.0117038	+	0.0202715i	−0.860114	+	0.510102i	$0.829608\pi$
$242$	−17.2652	+	9.59729i	−1.10985	+	0.616937i
$243$	−0.965926	+	0.258819i	−0.0619642	+	0.0166032i
$244$	−6.22329	−	6.64173i	−0.398406	−	0.425193i
$245$	−0.997839	+	0.0164760i	−0.0637496	+	0.00105262i
$246$	5.98740	−	5.79582i	0.381743	−	0.369528i
$247$	0.289134	+	0.166931i	0.0183971	+	0.0106216i
$248$	−6.31155	−	12.2780i	−0.400784	−	0.779651i
$249$	2.03398	−	1.17432i	0.128898	−	0.0744195i
$250$	1.95176	−	0.489110i	0.123440	−	0.0309341i
$251$	4.00610	−	4.00610i	0.252863	−	0.252863i	−0.569281	−	0.822143i	$-0.692778\pi$
$251$	4.00610	−	4.00610i	0.252863	−	0.252863i	0.822143	+	0.569281i	$0.192778\pi$
$252$	3.11849	+	4.27493i	0.196446	+	0.269295i
$253$	−17.0023	−	17.0023i	−1.06893	−	1.06893i
$254$	−0.363210	+	0.606125i	−0.0227898	+	0.0380317i
$255$	0.369169	+	0.639419i	0.0231182	+	0.0400420i
$256$	−6.13544	−	14.7769i	−0.383465	−	0.923555i
$257$	8.58831	−	14.8754i	0.535724	−	0.927901i	−0.463404	−	0.886147i	$-0.653372\pi$
$257$	8.58831	−	14.8754i	0.535724	−	0.927901i	0.999128	−	0.0417538i	$-0.0132945\pi$
$258$	0.781388	+	0.0127039i	0.0486471	+	0.000790911i
$259$	10.9556	+	8.26377i	0.680751	+	0.513486i
$260$	0.0385973	+	0.00125537i	0.00239370	+	7.78549e-5i
$261$	−2.27988	−	8.50861i	−0.141121	−	0.526670i
$262$	8.45033	−	29.6035i	0.522063	−	1.82891i
$263$	−6.78844	+	3.91931i	−0.418593	+	0.241675i	−0.694475	−	0.719517i	$-0.744363\pi$
$263$	−6.78844	+	3.91931i	−0.418593	+	0.241675i	0.275882	+	0.961191i	$0.411030\pi$
$264$	−7.65479	+	11.8805i	−0.471120	+	0.731194i
$265$			0.362505i			0.0222685i
$266$	−3.46139	−	8.54940i	−0.212232	−	0.524197i
$267$	8.60834	−	8.60834i	0.526822	−	0.526822i
$268$	0.574381	−	0.134055i	0.0350859	−	0.00818870i
$269$	−2.97226	+	11.0926i	−0.181222	+	0.676329i	0.814186	+	0.580604i	$0.197184\pi$
$269$	−2.97226	+	11.0926i	−0.181222	+	0.676329i	−0.995408	+	0.0957252i	$0.969483\pi$
$270$	0.176225	−	0.0979589i	0.0107247	−	0.00596159i
$271$	13.5380	−	23.4486i	0.822378	−	1.42440i	−0.0815293	−	0.996671i	$-0.525980\pi$
$271$	13.5380	−	23.4486i	0.822378	−	1.42440i	0.903907	−	0.427729i	$-0.140686\pi$
$272$	−20.6716	−	1.34611i	−1.25340	−	0.0816198i
$273$	0.134390	−	0.332175i	0.00813363	−	0.0201042i
$274$	0.502742	−	30.9225i	0.0303717	−	1.86809i
$275$	24.0345	−	6.44001i	1.44933	−	0.388347i
$276$	−9.21037	−	2.79181i	−0.554399	−	0.168047i
$277$	4.08893	+	1.09562i	0.245680	+	0.0658297i	0.379557	−	0.925168i	$-0.376076\pi$
$277$	4.08893	+	1.09562i	0.245680	+	0.0658297i	−0.133878	+	0.990998i	$0.542743\pi$
$278$	−6.53523	−	26.0784i	−0.391957	−	1.56408i
$279$			4.88088i			0.292211i
$280$	−0.819412	−	0.683225i	−0.0489692	−	0.0408305i
$281$		−	10.0464i		−	0.599316i	−0.954047	−	0.299658i	$-0.903127\pi$
$281$		−	10.0464i		−	0.599316i	0.954047	−	0.299658i	$-0.0968726\pi$
$282$	−3.25784	+	0.816411i	−0.194001	+	0.0486166i
$283$	−21.8836	−	5.86368i	−1.30084	−	0.348560i	−0.459074	−	0.888398i	$-0.651819\pi$
$283$	−21.8836	−	5.86368i	−1.30084	−	0.348560i	−0.841769	+	0.539838i	$0.818485\pi$
$284$	−17.3205	+	9.26270i	−1.02778	+	0.549640i
$285$	−0.339468	+	0.0909600i	−0.0201083	+	0.00538801i
$286$	0.956935	+	0.0155580i	0.0565847	+	0.000919962i
$287$	9.59224	+	12.2895i	0.566212	+	0.725423i
$288$	−0.459303	+	5.63818i	−0.0270647	+	0.332233i
$289$	−4.91025	+	8.50480i	−0.288838	+	0.500282i
$290$	0.862896	+	1.55232i	0.0506710	+	0.0911555i
$291$	−3.25819	+	12.1597i	−0.190998	+	0.712815i
$292$	24.2221	+	15.0551i	1.41749	+	0.881036i
$293$	16.5560	−	16.5560i	0.967212	−	0.967212i	−0.0322669	−	0.999479i	$-0.510273\pi$
$293$	16.5560	−	16.5560i	0.967212	−	0.967212i	0.999479	+	0.0322669i	$0.0102727\pi$
$294$	−8.57196	+	4.95192i	−0.499927	+	0.288802i
$295$		−	1.15368i		−	0.0671698i
$296$	3.10162	+	14.3387i	0.180278	+	0.833420i
$297$	4.32733	−	2.49839i	0.251097	−	0.144971i
$298$	−20.3154	−	5.79905i	−1.17684	−	0.335930i
$299$	0.168681	+	0.629525i	0.00975506	+	0.0364064i
$300$	7.26753	−	6.80967i	0.419591	−	0.393157i
$301$	−0.178862	+	1.45105i	−0.0103094	+	0.0836374i
$302$	−0.198802	+	12.2279i	−0.0114398	+	0.703635i
$303$	3.90632	−	6.76595i	0.224412	−	0.388694i
$304$	3.16556	−	9.33842i	0.181557	−	0.535595i
$305$	−0.324404	−	0.561885i	−0.0185753	−	0.0321734i
$306$	6.28240	+	3.76462i	0.359141	+	0.215209i
$307$	9.64846	+	9.64846i	0.550667	+	0.550667i	0.926633	−	0.375966i	$-0.122689\pi$
$307$	9.64846	+	9.64846i	0.550667	+	0.550667i	−0.375966	+	0.926633i	$0.622689\pi$
$308$	−20.5800	−	16.6000i	−1.17266	−	0.945872i
$309$	12.6846	−	12.6846i	0.721600	−	0.721600i
$310$	−0.239215	−	0.954572i	−0.0135865	−	0.0542160i
$311$	24.9628	−	14.4123i	1.41551	−	0.817246i	0.419612	−	0.907704i	$-0.362166\pi$
$311$	24.9628	−	14.4123i	1.41551	−	0.817246i	0.995900	+	0.0904575i	$0.0288329\pi$
$312$	0.340693	−	0.175135i	0.0192879	−	0.00991507i
$313$	−0.297274	−	0.171631i	−0.0168029	−	0.00970118i	0.491575	−	0.870835i	$-0.336421\pi$
$313$	−0.297274	−	0.171631i	−0.0168029	−	0.00970118i	−0.508378	+	0.861134i	$0.669755\pi$
$314$	−5.38541	−	5.56341i	−0.303916	−	0.313962i
$315$	0.147220	+	0.347283i	0.00829489	+	0.0195672i
$316$	−20.0372	−	0.651708i	−1.12718	−	0.0366614i
$317$	0.465352	−	0.124691i	0.0261368	−	0.00700332i	−0.245727	−	0.969339i	$-0.579027\pi$
$317$	0.465352	−	0.124691i	0.0261368	−	0.00700332i	0.271864	+	0.962336i	$0.412360\pi$
$318$	1.74709	+	3.14295i	0.0979718	+	0.176248i
$319$	22.0077	+	38.1184i	1.23219	+	2.13422i
$320$	−0.186503	−	1.12519i	−0.0104258	−	0.0629001i
$321$	2.25049			0.125610
$322$	7.02318	−	16.5790i	0.391386	−	0.923911i
$323$	−9.02717	−	9.02717i	−0.502285	−	0.502285i
$324$	1.05578	−	1.69863i	0.0586542	−	0.0943682i
$325$	−0.651448	−	0.174555i	−0.0361358	−	0.00968257i
$326$	−4.67387	+	16.3736i	−0.258862	+	0.906852i
$327$	17.1856	+	9.92212i	0.950366	+	0.548694i
$328$	−0.812490	+	16.6464i	−0.0448623	+	0.919142i
$329$	−0.871535	−	6.22258i	−0.0480493	−	0.343062i
$330$	−0.723865	+	0.700704i	−0.0398475	+	0.0385725i
$331$	4.94005	+	18.4365i	0.271530	+	1.01336i	0.958131	+	0.286329i	$0.0924351\pi$
$331$	4.94005	+	18.4365i	0.271530	+	1.01336i	−0.686601	+	0.727034i	$0.740898\pi$
$332$	−1.36260	+	4.49530i	−0.0747823	+	0.246712i
$333$	1.34243	−	5.01001i	0.0735646	−	0.274547i
$334$	−10.7611	−	6.44840i	−0.588820	−	0.352841i
$335$	0.0420444			0.00229713
$336$	−10.3972	−	1.97449i	−0.567213	−	0.107717i
$337$	16.2089			0.882953			0.441477	−	0.897273i	$-0.354455\pi$
$337$	16.2089			0.882953			0.441477	+	0.897273i	$0.354455\pi$
$338$	15.7479	+	9.43666i	0.856573	+	0.513287i
$339$	2.41615	−	9.01720i	0.131227	−	0.489747i
$340$	−1.41318	−	0.428357i	−0.0766405	−	0.0232309i
$341$	−6.31225	−	23.5576i	−0.341827	−	1.27572i
$342$	−2.50484	+	2.42469i	−0.135446	+	0.131112i
$343$	−7.50893	−	16.9297i	−0.405444	−	0.914120i
$344$	−1.15776	+	1.05000i	−0.0624223	+	0.0566123i
$345$	−0.594137	−	0.343025i	−0.0319872	−	0.0184678i
$346$	4.08173	−	14.2992i	0.219435	−	0.768731i
$347$	−18.2232	−	4.88289i	−0.978272	−	0.262127i	−0.265955	−	0.963985i	$-0.585687\pi$
$347$	−18.2232	−	4.88289i	−0.978272	−	0.262127i	−0.712317	+	0.701858i	$0.752354\pi$
$348$	14.9628	+	9.30008i	0.802091	+	0.498537i
$349$	−20.0607	−	20.0607i	−1.07382	−	1.07382i	−0.997048	−	0.0767754i	$-0.975538\pi$
$349$	−20.0607	−	20.0607i	−1.07382	−	1.07382i	−0.0767754	−	0.997048i	$-0.524462\pi$
$350$	11.2239	+	14.8722i	0.599945	+	0.794954i
$351$	−0.135436			−0.00722905
$352$	−5.07480	−	27.8067i	−0.270488	−	1.48210i
$353$	7.06919	+	12.2442i	0.376255	+	0.651693i	0.990514	−	0.137412i	$-0.0438784\pi$
$353$	7.06919	+	12.2442i	0.376255	+	0.651693i	−0.614259	+	0.789104i	$0.710545\pi$
$354$	−5.56014	−	10.0025i	−0.295518	−	0.531628i
$355$	−1.35243	+	0.362382i	−0.0717795	+	0.0192333i
$356$	−0.791499	+	24.3352i	−0.0419494	+	1.28976i
$357$	−8.25120	+	10.9390i	−0.436700	+	0.578952i
$358$	14.9997	+	15.4955i	0.792760	+	0.818963i
$359$	1.38470	+	0.799455i	0.0730815	+	0.0421936i	0.536095	−	0.844157i	$-0.319899\pi$
$359$	1.38470	+	0.799455i	0.0730815	+	0.0421936i	−0.463014	+	0.886351i	$0.653232\pi$
$360$	−0.123231	+	0.383951i	−0.00649486	+	0.0202360i
$361$	−11.1919	+	6.46166i	−0.589049	+	0.340087i
$362$	3.96109	+	15.8064i	0.208190	+	0.830768i
$363$	−9.87669	+	9.87669i	−0.518392	+	0.518392i
$364$	0.258114	+	0.668566i	0.0135288	+	0.0350424i
$365$	1.43754	+	1.43754i	0.0752442	+	0.0752442i
$366$	−5.52062	−	3.30814i	−0.288567	−	0.172919i
$367$	3.74278	+	6.48269i	0.195372	+	0.338393i	0.947022	−	0.321168i	$-0.104075\pi$
$367$	3.74278	+	6.48269i	0.195372	+	0.338393i	−0.751651	+	0.659561i	$0.770742\pi$
$368$	17.2597	−	8.52064i	0.899726	−	0.444169i
$369$	2.94619	−	5.10296i	0.153373	−	0.265649i
$370$	−0.0169998	+	1.04562i	−0.000883779	+	0.0543592i
$371$	−6.19376	+	2.62565i	−0.321564	+	0.136317i
$372$	−6.67457	−	7.12334i	−0.346060	−	0.369328i
$373$	4.60530	+	17.1872i	0.238453	+	0.889919i	0.976562	+	0.215237i	$0.0690525\pi$
$373$	4.60530	+	17.1872i	0.238453	+	0.889919i	−0.738109	+	0.674682i	$0.764281\pi$
$374$	−35.1907	−	10.0452i	−1.81967	−	0.519426i
$375$	1.23216	−	0.711390i	0.0636287	−	0.0367360i
$376$	3.63817	−	5.64657i	0.187625	−	0.291200i
$377$		−	1.19303i		−	0.0614440i
$378$	2.95014	+	2.30146i	0.151739	+	0.118374i
$379$	4.84387	−	4.84387i	0.248813	−	0.248813i	−0.571670	−	0.820483i	$-0.693704\pi$
$379$	4.84387	−	4.84387i	0.248813	−	0.248813i	0.820483	+	0.571670i	$0.193704\pi$
$380$	0.371045	−	0.596970i	0.0190342	−	0.0306239i
$381$	−0.129320	+	0.482629i	−0.00662527	+	0.0247259i
$382$	7.28250	+	13.1010i	0.372605	+	0.670304i
$383$	−4.43857	+	7.68783i	−0.226800	+	0.392830i	−0.956858	−	0.290556i	$-0.906160\pi$
$383$	−4.43857	+	7.68783i	−0.226800	+	0.392830i	0.730058	+	0.683385i	$0.239493\pi$
$384$	−7.03984	−	8.85667i	−0.359251	−	0.451965i
$385$	−1.15968	−	1.48577i	−0.0591030	−	0.0757220i
$386$	−8.99516	−	0.146245i	−0.457842	−	0.00744365i
$387$	0.533769	−	0.143023i	0.0271330	−	0.00727026i
$388$	−11.8732	−	22.2019i	−0.602771	−	1.12713i
$389$	−22.0481	−	5.90777i	−1.11788	−	0.299536i	−0.347856	−	0.937548i	$-0.613090\pi$
$389$	−22.0481	−	5.90777i	−1.11788	−	0.299536i	−0.770026	+	0.638012i	$0.779757\pi$
$390$	0.0264878	−	0.00663782i	0.00134126	−	0.000336119i
$391$		−	24.9211i		−	1.26032i
$392$	5.73853	−	18.9491i	0.289840	−	0.957075i
$393$		−	21.7689i		−	1.09810i
$394$	−3.25425	−	12.9859i	−0.163947	−	0.654219i
$395$	−1.38039	−	0.369874i	−0.0694550	−	0.0186104i
$396$	−2.89895	+	9.56384i	−0.145678	+	0.480601i
$397$	−33.9384	+	9.09376i	−1.70332	+	0.456403i	−0.973772	−	0.227528i	$-0.926936\pi$
$397$	−33.9384	+	9.09376i	−1.70332	+	0.456403i	−0.729547	+	0.683931i	$0.760269\pi$
$398$	0.473573	−	29.1284i	0.0237381	−	1.46007i
$399$	−4.01293	−	5.14131i	−0.200898	−	0.257388i
$400$	−1.29434	+	19.8766i	−0.0647169	+	0.993830i
$401$	−13.0918	+	22.6757i	−0.653774	+	1.13237i	0.328425	+	0.944530i	$0.393482\pi$
$401$	−13.0918	+	22.6757i	−0.653774	+	1.13237i	−0.982200	+	0.187841i	$0.939851\pi$
$402$	0.364530	−	0.202633i	0.0181811	−	0.0101064i
$403$	−0.171092	+	0.638523i	−0.00852269	+	0.0318071i
$404$	3.55135	+	15.2164i	0.176686	+	0.757042i
$405$	0.100811	−	0.100811i	0.00500932	−	0.00500932i
$406$	−20.2730	+	25.9870i	−1.00613	+	1.28972i
$407$			25.9170i			1.28466i
$408$	−14.3169	+	3.09690i	−0.708791	+	0.153320i
$409$	18.0697	−	10.4326i	0.893490	−	0.515857i	0.0184074	−	0.999831i	$-0.494140\pi$
$409$	18.0697	−	10.4326i	0.893490	−	0.515857i	0.875082	+	0.483974i	$0.160807\pi$
$410$	−0.326099	+	1.14240i	−0.0161049	+	0.0564191i
$411$	−5.65995	−	21.1232i	−0.279185	−	1.04193i
$412$	−1.16629	+	35.8584i	−0.0574590	+	1.76662i
$413$	19.7118	−	8.35618i	0.969952	−	0.411181i
$414$	−6.80443	−	0.110627i	−0.334420	−	0.00543704i
$415$	−0.167420	+	0.289980i	−0.00821833	+	0.0142346i
$416$	−0.257724	+	0.721494i	−0.0126360	+	0.0353742i
$417$	−9.50520	−	16.4635i	−0.465472	−	0.806221i
$418$	8.95387	−	14.9422i	0.437948	−	0.730848i
$419$	10.9118	+	10.9118i	0.533076	+	0.533076i	0.921487	−	0.388410i	$-0.126976\pi$
$419$	10.9118	+	10.9118i	0.533076	+	0.533076i	−0.388410	+	0.921487i	$0.626976\pi$
$420$	−0.689765	−	0.305516i	−0.0336571	−	0.0149077i
$421$	−10.8119	+	10.8119i	−0.526938	+	0.526938i	−0.919658	−	0.392720i	$-0.871534\pi$
$421$	−10.8119	+	10.8119i	−0.526938	+	0.526938i	0.392720	+	0.919658i	$0.371534\pi$
$422$	−0.901158	+	0.225830i	−0.0438677	+	0.0109932i
$423$	−2.05670	+	1.18744i	−0.100000	+	0.0577351i
$424$	−6.84774	−	2.19782i	−0.332555	−	0.106736i
$425$	22.3339	+	12.8945i	1.08335	+	0.625475i
$426$	−9.97920	+	9.65991i	−0.483494	+	0.468024i
$427$	7.25068	−	9.61255i	0.350885	−	0.465184i
$428$	−3.28445	+	3.07752i	−0.158760	+	0.148758i
$429$	0.653685	−	0.175154i	0.0315602	−	0.00845653i
$430$	−0.0973815	+	0.0541319i	−0.00469615	+	0.00261047i
$431$	17.1278	+	29.6661i	0.825015	+	1.42897i	0.901908	+	0.431929i	$0.142167\pi$
$431$	17.1278	+	29.6661i	0.825015	+	1.42897i	−0.0768926	+	0.997039i	$0.524500\pi$
$432$	0.782021	+	3.92281i	0.0376250	+	0.188736i
$433$	33.8838			1.62835			0.814175	−	0.580620i	$-0.197190\pi$
$433$	33.8838			1.62835			0.814175	+	0.580620i	$0.197190\pi$
$434$	14.5772	−	11.0013i	0.699726	−	0.528078i
$435$	0.888017	+	0.888017i	0.0425772	+	0.0425772i
$436$	−38.6498	+	9.02048i	−1.85099	+	0.432003i
$437$	11.4581	+	3.07018i	0.548113	+	0.146867i
$438$	19.3918	+	5.53541i	0.926576	+	0.264492i
$439$	18.7950	+	10.8513i	0.897037	+	0.517904i	0.876238	−	0.481879i	$-0.160046\pi$
$439$	18.7950	+	10.8513i	0.897037	+	0.517904i	0.0207991	+	0.999784i	$0.493379\pi$
$440$	0.0982286	−	2.01252i	0.00468286	−	0.0959429i
$441$	−4.86736	+	5.03079i	−0.231779	+	0.239561i
$442$	0.689910	+	0.712714i	0.0328156	+	0.0339003i
$443$	−5.09383	−	19.0104i	−0.242015	−	0.903213i	−0.974860	−	0.222817i	$-0.928475\pi$
$443$	−5.09383	−	19.0104i	−0.242015	−	0.903213i	0.732845	−	0.680396i	$-0.238192\pi$
$444$	4.89196	+	9.14756i	0.232162	+	0.434124i
$445$	−0.449213	+	1.67648i	−0.0212947	+	0.0794730i
$446$	6.16916	−	10.2951i	0.292118	−	0.487487i
$447$	−14.9390			−0.706588
$448$	17.8742	−	11.3364i	0.844474	−	0.535596i
$449$	7.82130			0.369110			0.184555	−	0.982822i	$-0.440916\pi$
$449$	7.82130			0.369110			0.184555	+	0.982822i	$0.440916\pi$
$450$	3.61984	−	6.04078i	0.170641	−	0.284765i
$451$	−7.62039	+	28.4397i	−0.358830	+	1.33917i
$452$	8.80473	+	16.4641i	0.414140	+	0.774407i
$453$	2.23815	+	8.35289i	0.105158	+	0.392453i
$454$	−7.91567	−	8.17731i	−0.371501	−	0.383780i
$455$	0.00708600	+	0.0505926i	0.000332197	+	0.00237182i
$456$	0.339907	−	6.96404i	0.0159176	−	0.326121i
$457$	28.5156	+	16.4635i	1.33391	+	0.770131i	0.985896	−	0.167360i	$-0.0535243\pi$
$457$	28.5156	+	16.4635i	1.33391	+	0.770131i	0.348010	+	0.937491i	$0.386858\pi$
$458$	−1.09031	−	0.311230i	−0.0509469	−	0.0145428i
$459$	5.00239	+	1.34039i	0.233491	+	0.0625638i
$460$	1.33619	−	0.311854i	0.0623002	−	0.0145403i
$461$	4.44057	+	4.44057i	0.206818	+	0.206818i	0.802914	−	0.596096i	$-0.203282\pi$
$461$	4.44057	+	4.44057i	0.206818	+	0.206818i	−0.596096	+	0.802914i	$0.703282\pi$
$462$	−17.2152	−	7.29271i	−0.800926	−	0.339288i
$463$	−26.8244			−1.24664			−0.623319	−	0.781968i	$-0.714216\pi$
$463$	−26.8244			−1.24664			−0.623319	+	0.781968i	$0.714216\pi$
$464$	−34.5551	+	6.88863i	−1.60418	+	0.319797i
$465$	−0.347928	−	0.602629i	−0.0161348	−	0.0279463i
$466$	2.19227	−	1.21863i	0.101555	−	0.0564518i
$467$	18.2734	−	4.89634i	0.845592	−	0.226576i	0.190088	−	0.981767i	$-0.439123\pi$
$467$	18.2734	−	4.89634i	0.845592	−	0.226576i	0.655504	+	0.755191i	$0.272456\pi$
$468$	0.197661	−	0.185208i	0.00913688	−	0.00856125i
$469$	0.304531	+	0.718371i	0.0140619	+	0.0331713i
$470$	0.344039	−	0.333031i	0.0158693	−	0.0153616i
$471$	−4.74161	−	2.73757i	−0.218482	−	0.126140i
$472$	21.7931	+	6.99460i	1.00311	+	0.321953i
$473$	−2.39128	+	1.38060i	−0.109951	+	0.0634802i
$474$	−13.7507	+	3.44593i	−0.631592	+	0.158277i
$475$	−8.67998	+	8.67998i	−0.398265	+	0.398265i
$476$	−2.91685	−	27.2482i	−0.133694	−	1.24892i
$477$	1.79795	+	1.79795i	0.0823224	+	0.0823224i
$478$	10.2781	−	17.1522i	0.470112	−	0.784522i
$479$	−10.5124	−	18.2081i	−0.480326	−	0.831949i	0.519419	−	0.854520i	$-0.326148\pi$
$479$	−10.5124	−	18.2081i	−0.480326	−	0.831949i	−0.999745	+	0.0225705i	$0.992815\pi$
$480$	−0.345202	−	0.728872i	−0.0157563	−	0.0332683i
$481$	0.351237	−	0.608360i	0.0160150	−	0.0277388i
$482$	−0.513833	−	0.00835397i	−0.0234044	−	0.000380513i
$483$	1.55755	−	12.6360i	0.0708710	−	0.574957i
$484$	0.908118	−	27.9207i	0.0412781	−	1.26912i
$485$	−0.464512	−	1.73358i	−0.0210924	−	0.0787180i
$486$	0.388183	−	1.35989i	0.0176083	−	0.0616861i
$487$	1.07317	−	0.619594i	0.0486299	−	0.0280765i	−0.475488	−	0.879722i	$-0.657728\pi$
$487$	1.07317	−	0.619594i	0.0486299	−	0.0280765i	0.524118	+	0.851646i	$0.324395\pi$
$488$	12.5809	−	2.72138i	0.569509	−	0.123191i
$489$			12.0404i			0.544484i
$490$	0.705365	−	1.22244i	0.0318651	−	0.0552243i
$491$	17.0854	−	17.0854i	0.771053	−	0.771053i	−0.207238	−	0.978291i	$-0.566447\pi$
$491$	17.0854	−	17.0854i	0.771053	−	0.771053i	0.978291	+	0.207238i	$0.0664473\pi$
$492$	2.67847	+	11.4764i	0.120755	+	0.517394i
$493$	−11.8071	+	44.0648i	−0.531767	+	1.98458i
$494$	−0.412680	+	0.229398i	−0.0185674	+	0.0103211i
$495$	−0.356189	+	0.616938i	−0.0160095	+	0.0277293i
$496$	19.4822	+	1.26866i	0.874779	+	0.0569644i
$497$	−15.9874	−	20.4828i	−0.717133	−	0.918781i
$498$	−0.0539939	+	3.32104i	−0.00241953	+	0.148819i
$499$	−13.1804	+	3.53169i	−0.590038	+	0.158100i	−0.541471	−	0.840720i	$-0.682132\pi$
$499$	−13.1804	+	3.53169i	−0.590038	+	0.158100i	−0.0485674	+	0.998820i	$0.515466\pi$
$500$	−0.825447	+	2.72321i	−0.0369151	+	0.121785i
$501$	−8.56855	−	2.29594i	−0.382815	−	0.102575i
$502$	1.94763	+	7.77188i	0.0869269	+	0.346876i
$503$			25.2848i			1.12739i	0.825982	+	0.563697i	$0.190621\pi$
$503$			25.2848i			1.12739i	−0.825982	+	0.563697i	$0.809379\pi$
$504$	−7.45277	+	0.675456i	−0.331973	+	0.0300872i
$505$			1.11383i			0.0495648i
$506$	32.9847	−	8.26596i	1.46635	−	0.367467i
$507$	12.5393	+	3.35990i	0.556891	+	0.149218i
$508$	−0.471258	−	0.881213i	−0.0209087	−	0.0390975i
$509$	5.96776	−	1.59906i	0.264516	−	0.0708769i	−0.124123	−	0.992267i	$-0.539612\pi$
$509$	5.96776	−	1.59906i	0.264516	−	0.0708769i	0.388640	+	0.921390i	$0.372945\pi$
$510$	−1.04403	−	0.0169740i	−0.0462304	−	0.000751620i
$511$	−14.1496	+	34.9740i	−0.625941	+	1.54716i
$512$	22.3857	+	3.29883i	0.989316	+	0.145789i
$513$	−1.23255	+	2.13483i	−0.0544182	+	0.0942551i
$514$	11.8021	+	21.2316i	0.520569	+	0.936487i
$515$	−0.661925	+	2.47034i	−0.0291679	+	0.108856i
$516$	−0.583420	+	0.938658i	−0.0256836	+	0.0413221i
$517$	8.39102	−	8.39102i	0.369036	−	0.369036i
$518$	−17.9886	+	7.28304i	−0.790373	+	0.319998i
$519$		−	10.5150i		−	0.461555i
$520$	−0.0295801	+	0.0459094i	−0.00129717	+	0.00201326i
$521$	25.7063	−	14.8415i	1.12621	−	0.650220i	0.183234	−	0.983069i	$-0.441343\pi$
$521$	25.7063	−	14.8415i	1.12621	−	0.650220i	0.942980	+	0.332850i	$0.108010\pi$
$522$	11.9790	+	3.41941i	0.524306	+	0.149664i
$523$	7.53361	+	28.1158i	0.329422	+	1.22942i	0.909791	+	0.415066i	$0.136241\pi$
$523$	7.53361	+	28.1158i	0.329422	+	1.22942i	−0.580370	+	0.814353i	$0.697092\pi$
$524$	29.7689	+	31.7704i	1.30046	+	1.38790i
$525$	10.5183	+	7.93386i	0.459055	+	0.346262i
$526$	0.180205	−	11.0840i	0.00785732	−	0.483286i
$527$	12.6387	−	21.8908i	0.550549	−	0.953579i
$528$	−8.84765	−	17.9221i	−0.385044	−	0.779961i
$529$	0.0781302	+	0.135326i	0.00339697	+	0.00588372i
$530$	−0.439750	−	0.263513i	−0.0191015	−	0.0114463i
$531$	−5.72201	−	5.72201i	−0.248314	−	0.248314i
$532$	12.8873	+	2.01578i	0.558737	+	0.0873950i
$533$	0.564302	−	0.564302i	0.0244426	−	0.0244426i
$534$	4.18508	+	16.7003i	0.181106	+	0.722692i
$535$	−0.277861	+	0.160423i	−0.0120130	+	0.00693571i
$536$	−0.254910	+	0.794222i	−0.0110104	+	0.0343052i
$537$	13.2066	+	7.62481i	0.569905	+	0.329035i
$538$	−11.2957	−	11.6691i	−0.486994	−	0.503091i
$539$	16.9862	−	30.5759i	0.731649	−	1.31700i
$540$	−0.00926910	+	0.284985i	−0.000398878	+	0.0122638i
$541$	−32.7400	+	8.77264i	−1.40760	+	0.377165i	−0.881068	−	0.472990i	$-0.843175\pi$
$541$	−32.7400	+	8.77264i	−1.40760	+	0.377165i	−0.526533	+	0.850155i	$0.676508\pi$
$542$	18.6041	+	33.4682i	0.799114	+	1.43758i
$543$	5.76123	+	9.97874i	0.247238	+	0.428229i
$544$	16.6596	−	24.0980i	0.714275	−	1.03319i
$545$	−2.82915			−0.121187
$546$	0.305267	+	0.404492i	0.0130642	+	0.0173107i
$547$	−11.8854	−	11.8854i	−0.508185	−	0.508185i	0.405784	−	0.913969i	$-0.366998\pi$
$547$	−11.8854	−	11.8854i	−0.508185	−	0.508185i	−0.913969	+	0.405784i	$0.866998\pi$
$548$	37.1462	+	23.0881i	1.58681	+	0.986275i
$549$	−4.39581	−	1.17785i	−0.187609	−	0.0502696i
$550$	−9.65889	+	33.8373i	−0.411857	+	1.44283i
$551$	−18.8052	−	10.8572i	−0.801129	−	0.462532i
$552$	10.0819	−	9.14356i	0.429116	−	0.389176i
$553$	−3.67859	−	26.2644i	−0.156430	−	1.11688i
$554$	−4.30142	+	4.16380i	−0.182750	+	0.176903i
$555$	0.191387	+	0.714266i	0.00812392	+	0.0303189i
$556$	36.3860	+	11.0292i	1.54311	+	0.467741i
$557$	−2.53344	+	9.45494i	−0.107345	+	0.400619i	−0.998601	−	0.0528834i	$-0.983159\pi$
$557$	−2.53344	+	9.45494i	−0.107345	+	0.400619i	0.891255	+	0.453502i	$0.149825\pi$
$558$	−5.92094	−	3.54802i	−0.250653	−	0.150200i
$559$	0.0748418			0.00316547
$560$	1.42446	−	0.497367i	0.0601945	−	0.0210176i
$561$	−25.8775			−1.09255
$562$	12.1871	+	7.30293i	0.514083	+	0.308056i
$563$	3.92540	−	14.6498i	0.165436	−	0.617415i	−0.832548	−	0.553953i	$-0.813119\pi$
$563$	3.92540	−	14.6498i	0.165436	−	0.617415i	0.997984	−	0.0634629i	$-0.0202145\pi$
$564$	1.37782	−	4.54551i	0.0580165	−	0.191401i
$565$	0.344465	+	1.28556i	0.0144918	+	0.0540840i
$566$	23.0208	−	22.2842i	0.967637	−	0.936677i
$567$	2.45263	+	0.992272i	0.103001	+	0.0416715i
$568$	1.35418	−	27.7445i	0.0568201	−	1.16414i
$569$	14.5222	+	8.38437i	0.608800	+	0.351491i	0.772496	−	0.635020i	$-0.219008\pi$
$569$	14.5222	+	8.38437i	0.608800	+	0.351491i	−0.163695	+	0.986511i	$0.552341\pi$
$570$	0.136424	−	0.477925i	0.00571418	−	0.0200181i
$571$	−11.5201	−	3.08681i	−0.482102	−	0.129179i	0.00957925	−	0.999954i	$-0.496951\pi$
$571$	−11.5201	−	3.08681i	−0.482102	−	0.129179i	−0.491681	+	0.870775i	$0.663617\pi$
$572$	−0.714491	+	1.14954i	−0.0298744	+	0.0480645i
$573$	7.49450	+	7.49450i	0.313087	+	0.313087i
$574$	−21.8810	+	2.70276i	−0.913296	+	0.112811i
$575$	−23.9627			−0.999312
$576$	−6.50573	−	4.65569i	−0.271072	−	0.193987i
$577$	−12.5849	−	21.7976i	−0.523915	−	0.907447i	−0.999612	−	0.0278382i	$-0.991138\pi$
$577$	−12.5849	−	21.7976i	−0.523915	−	0.907447i	0.475698	−	0.879609i	$-0.342196\pi$
$578$	−6.74770	−	12.1389i	−0.280667	−	0.504911i
$579$	−6.14462	+	1.64645i	−0.255362	+	0.0684240i
$580$	−2.51036	−	0.0816493i	−0.104237	−	0.00339030i
$581$	−6.16724	−	0.760194i	−0.255860	−	0.0315382i
$582$	−12.3824	−	12.7916i	−0.513265	−	0.530231i
$583$	−11.0030	−	6.35261i	−0.455699	−	0.263098i
$584$	−35.8708	+	18.4396i	−1.48434	+	0.763035i
$585$	0.0167220	−	0.00965443i	0.000691368	−	0.000399161i
$586$	8.04896	+	32.1188i	0.332500	+	1.32682i
$587$	−23.0438	+	23.0438i	−0.951118	+	0.951118i	−0.998860	−	0.0477416i	$-0.984798\pi$
$587$	−23.0438	+	23.0438i	−0.951118	+	0.951118i	0.0477416	+	0.998860i	$0.484798\pi$
$588$	0.224035	−	13.9982i	0.00923905	−	0.577276i
$589$	8.50777	+	8.50777i	0.350557	+	0.350557i
$590$	1.39951	+	0.838635i	0.0576171	+	0.0345261i
$591$	−4.73317	−	8.19809i	−0.194697	−	0.337224i
$592$	−19.6487	−	6.66058i	−0.807559	−	0.273748i
$593$	18.9664	−	32.8508i	0.778858	−	1.34902i	−0.153742	−	0.988111i	$-0.549133\pi$
$593$	18.9664	−	32.8508i	0.778858	−	1.34902i	0.932600	−	0.360911i	$-0.117534\pi$
$594$	−0.114873	+	7.06557i	−0.00471330	+	0.289904i
$595$	0.238981	−	1.93878i	0.00979725	−	0.0794824i
$596$	21.8025	−	20.4289i	0.893065	−	0.836801i
$597$	−5.33156	−	19.8977i	−0.218206	−	0.814357i
$598$	−0.886287	−	0.252991i	−0.0362430	−	0.0103456i
$599$	35.4478	−	20.4658i	1.44836	−	0.836210i	0.449975	−	0.893041i	$-0.351433\pi$
$599$	35.4478	−	20.4658i	1.44836	−	0.836210i	0.998384	+	0.0568307i	$0.0180995\pi$
$600$	2.97780	+	13.7663i	0.121568	+	0.562005i
$601$			37.1917i			1.51708i	0.651625	+	0.758541i	$0.274088\pi$
$601$			37.1917i			1.51708i	−0.651625	+	0.758541i	$0.725912\pi$
$602$	−1.63024	−	1.27178i	−0.0664436	−	0.0518339i
$603$	0.208532	−	0.208532i	0.00849207	−	0.00849207i
$604$	−14.6890	−	9.12988i	−0.597686	−	0.371490i
$605$	0.515399	−	1.92350i	0.0209540	−	0.0782013i
$606$	5.36810	+	9.65704i	0.218064	+	0.392290i
$607$	−5.19794	+	9.00310i	−0.210978	+	0.365424i	−0.952021	−	0.306033i	$-0.900998\pi$
$607$	−5.19794	+	9.00310i	−0.210978	+	0.365424i	0.741043	+	0.671458i	$0.234331\pi$
$608$	9.02721	+	10.6284i	0.366102	+	0.431039i
$609$	−8.74069	+	21.6046i	−0.354191	+	0.875464i
$610$	0.917433	+	0.0149157i	0.0371458	+	0.000603921i
$611$	−0.310684	+	0.0832475i	−0.0125689	+	0.00336783i
$612$	−9.13364	+	4.88452i	−0.369206	+	0.197445i
$613$	−21.8544	−	5.85588i	−0.882693	−	0.236517i	−0.211124	−	0.977459i	$-0.567712\pi$
$613$	−21.8544	−	5.85588i	−0.882693	−	0.236517i	−0.671568	+	0.740942i	$0.734379\pi$
$614$	−18.7181	+	4.69075i	−0.755402	+	0.189303i
$615$			0.840065i			0.0338747i
$616$	35.0973	−	12.8985i	1.41411	−	0.519694i
$617$		−	18.1714i		−	0.731555i	−0.930702	−	0.365777i	$-0.880803\pi$
$617$		−	18.1714i		−	0.731555i	0.930702	−	0.365777i	$-0.119197\pi$
$618$	6.16680	+	24.6082i	0.248065	+	0.989888i
$619$	−25.7020	−	6.88682i	−1.03305	−	0.276805i	−0.297819	−	0.954622i	$-0.596259\pi$
$619$	−25.7020	−	6.88682i	−1.03305	−	0.276805i	−0.735230	+	0.677818i	$0.762926\pi$
$620$	1.33187	+	0.403711i	0.0534892	+	0.0162134i
$621$	−4.64813	+	1.24546i	−0.186523	+	0.0499787i
$622$	−0.662661	+	40.7587i	−0.0265703	+	1.63428i
$623$	−31.8981	+	4.46765i	−1.27797	+	0.178993i
$624$	−0.0352031	+	0.540600i	−0.00140925	+	0.0216413i
$625$	12.3478	−	21.3870i	0.493911	−	0.855478i
$626$	0.424299	−	0.235857i	0.0169584	−	0.00942675i
$627$	3.18800	−	11.8978i	0.127317	−	0.475152i
$628$	10.6637	−	2.48880i	0.425527	−	0.0993140i
$629$	−18.9939	+	18.9939i	−0.757334	+	0.757334i
$630$	−0.528302	−	0.0738575i	−0.0210481	−	0.00294255i
$631$			4.93700i			0.196539i	0.995160	+	0.0982694i	$0.0313307\pi$
$631$			4.93700i			0.196539i	−0.995160	+	0.0982694i	$0.968669\pi$
$632$	15.3561	−	23.8332i	0.610832	−	0.948032i
$633$	−0.568909	+	0.328460i	−0.0226121	+	0.0130551i
$634$	−0.187014	+	0.655153i	−0.00742727	+	0.0260195i
$635$	−0.0184369	−	0.0688074i	−0.000731646	−	0.00273054i
$636$	−5.08268	−	0.165313i	−0.201541	−	0.00655511i
$637$	−0.813101	+	0.487517i	−0.0322162	+	0.0193161i
$638$	−62.2389	−	1.01189i	−2.46406	−	0.0400611i
$639$	−4.91043	+	8.50511i	−0.194253	+	0.336457i
$640$	1.50053	+	0.591682i	0.0593136	+	0.0233883i
$641$	4.01060	+	6.94657i	0.158409	+	0.274373i	0.934295	−	0.356500i	$-0.116030\pi$
$641$	4.01060	+	6.94657i	0.158409	+	0.274373i	−0.775886	+	0.630873i	$0.782697\pi$
$642$	−1.63593	+	2.73004i	−0.0645650	+	0.107746i
$643$	−25.2361	−	25.2361i	−0.995215	−	0.995215i	0.00477361	−	0.999989i	$-0.498481\pi$
$643$	−25.2361	−	25.2361i	−0.995215	−	0.995215i	−0.999989	+	0.00477361i	$0.998481\pi$
$644$	15.0065	+	20.5714i	0.591337	+	0.810626i
$645$	−0.0557078	+	0.0557078i	−0.00219349	+	0.00219349i
$646$	17.5128	−	4.38870i	0.689032	−	0.172671i
$647$	−30.8905	+	17.8346i	−1.21443	+	0.701152i	−0.963721	−	0.266910i	$-0.913997\pi$
$647$	−30.8905	+	17.8346i	−1.21443	+	0.701152i	−0.250710	+	0.968062i	$0.580664\pi$
$648$	1.29312	+	2.51552i	0.0507985	+	0.0988190i
$649$	35.0174	+	20.2173i	1.37455	+	0.793598i
$650$	0.685303	−	0.663376i	0.0268798	−	0.0260197i
$651$	7.77645	−	10.3096i	0.304783	−	0.404065i
$652$	−16.4651	−	17.5722i	−0.644824	−	0.688180i
$653$	−32.3057	+	8.65629i	−1.26422	+	0.338747i	−0.827814	−	0.561003i	$-0.810416\pi$
$653$	−32.3057	+	8.65629i	−1.26422	+	0.338747i	−0.436406	+	0.899750i	$0.643749\pi$
$654$	−24.5290	+	13.6351i	−0.959160	+	0.533173i
$655$	1.55177	+	2.68775i	0.0606328	+	0.105019i
$656$	−19.6029	−	13.0863i	−0.765365	−	0.510932i
$657$	14.2598			0.556327
$658$	8.18208	+	3.46609i	0.318971	+	0.135122i
$659$	13.6657	+	13.6657i	0.532340	+	0.532340i	0.921268	−	0.388928i	$-0.127155\pi$
$659$	13.6657	+	13.6657i	0.532340	+	0.532340i	−0.388928	+	0.921268i	$0.627155\pi$
$660$	−0.323822	−	1.38747i	−0.0126048	−	0.0540072i
$661$	−34.6362	−	9.28075i	−1.34719	−	0.360979i	−0.488095	−	0.872790i	$-0.662308\pi$
$661$	−34.6362	−	9.28075i	−1.34719	−	0.360979i	−0.859098	+	0.511811i	$0.828975\pi$
$662$	−25.9562	−	7.40921i	−1.00882	−	0.287967i
$663$	0.607434	+	0.350702i	0.0235908	+	0.0136201i
$664$	−4.46270	−	4.92069i	−0.173186	−	0.190960i
$665$	0.861959	+	0.348727i	0.0334253	+	0.0135230i
$666$	5.10174	+	5.27037i	0.197688	+	0.204223i
$667$	−10.9710	−	40.9442i	−0.424798	−	1.58537i
$668$	15.6450	−	8.36666i	0.605321	−	0.323716i
$669$	2.19651	−	8.19750i	0.0849222	−	0.316934i
$670$	−0.0305631	+	0.0510036i	−0.00118075	+	0.00197044i
$671$	22.7397			0.877857
$672$	9.95318	−	11.1774i	0.383952	−	0.431178i
$673$	8.54935			0.329553			0.164777	−	0.986331i	$-0.447310\pi$
$673$	8.54935			0.329553			0.164777	+	0.986331i	$0.447310\pi$
$674$	−11.7826	+	19.6628i	−0.453849	+	0.757382i
$675$	1.28883	−	4.81000i	0.0496073	−	0.185137i
$676$	−22.8950	+	12.2439i	−0.880577	+	0.470918i
$677$	−3.08790	−	11.5242i	−0.118677	−	0.442910i	0.880858	−	0.473380i	$-0.156966\pi$
$677$	−3.08790	−	11.5242i	−0.118677	−	0.442910i	−0.999536	+	0.0304699i	$0.990300\pi$
$678$	9.18230	+	9.48581i	0.352644	+	0.364300i
$679$	26.2555	−	20.4931i	1.00759	−	0.786454i
$680$	1.54691	−	1.40293i	0.0593212	−	0.0537999i
$681$	−6.96939	−	4.02378i	−0.267068	−	0.154192i
$682$	33.1660	+	9.46726i	1.26999	+	0.362520i
$683$	−49.6698	−	13.3090i	−1.90056	−	0.509255i	−0.996674	−	0.0814882i	$-0.974033\pi$
$683$	−49.6698	−	13.3090i	−1.90056	−	0.509255i	−0.903889	−	0.427766i	$-0.859301\pi$
$684$	−1.12054	−	4.80115i	−0.0428450	−	0.183577i
$685$	2.20456	+	2.20456i	0.0842321	+	0.0842321i
$686$	25.9957	+	3.19762i	0.992520	+	0.122086i
$687$	−0.801761			−0.0305891
$688$	−0.432143	−	2.16774i	−0.0164753	−	0.0826442i
$689$	0.172186	+	0.298234i	0.00655975	+	0.0113618i
$690$	0.848011	−	0.471388i	0.0322832	−	0.0179454i
$691$	37.6049	−	10.0762i	1.43056	−	0.383317i	0.541341	−	0.840803i	$-0.317917\pi$
$691$	37.6049	−	10.0762i	1.43056	−	0.383317i	0.889217	+	0.457487i	$0.151250\pi$
$692$	14.3791	+	15.3459i	0.546612	+	0.583365i
$693$	−13.1209	−	1.61733i	−0.498422	−	0.0614372i
$694$	19.1702	−	18.5569i	0.727692	−	0.704409i
$695$	2.34716	+	1.35514i	0.0890330	+	0.0514032i
$696$	−22.1586	+	11.3908i	−0.839921	+	0.431766i
$697$	−26.4275	+	15.2579i	−1.00101	+	0.577934i
$698$	38.9179	−	9.75281i	1.47307	−	0.369149i
$699$	1.25410	−	1.25410i	0.0474345	−	0.0474345i
$700$	−26.2003	+	2.80467i	−0.990277	+	0.106007i
$701$	26.5728	+	26.5728i	1.00364	+	1.00364i	0.999993	+	0.00364808i	$0.00116122\pi$
$701$	26.5728	+	26.5728i	1.00364	+	1.00364i	0.00364808	+	0.999993i	$0.498839\pi$
$702$	0.0984517	−	0.164296i	0.00371582	−	0.00620096i
$703$	−6.39290	−	11.0728i	−0.241113	−	0.417619i
$704$	37.4210	+	14.0572i	1.41036	+	0.529799i
$705$	0.169290	−	0.293219i	0.00637583	−	0.0110433i
$706$	−19.9920	−	0.325033i	−0.752410	−	0.0122328i
$707$	−19.0309	+	8.06756i	−0.715732	+	0.303412i
$708$	16.1757	+	0.526113i	0.607921	+	0.0197726i
$709$	4.04567	+	15.0987i	0.151938	+	0.567042i	0.999348	+	0.0361025i	$0.0114943\pi$
$709$	4.04567	+	15.0987i	0.151938	+	0.567042i	−0.847410	+	0.530940i	$0.821839\pi$
$710$	0.543510	−	1.90404i	0.0203976	−	0.0714573i
$711$	−8.68095	+	5.01195i	−0.325561	+	0.187963i
$712$	−28.9454	−	18.6500i	−1.08477	−	0.698937i
$713$			23.4873i			0.879604i
$714$	−7.27196	−	17.9612i	−0.272146	−	0.672182i
$715$	−0.0682230	+	0.0682230i	−0.00255140	+	0.00255140i
$716$	−29.7011	+	6.93194i	−1.10998	+	0.259059i
$717$	3.65951	−	13.6575i	0.136667	−	0.510048i
$718$	−1.97638	+	1.09862i	−0.0737577	+	0.0410000i
$719$	2.02122	−	3.50085i	0.0753788	−	0.130560i	−0.825872	−	0.563857i	$-0.809317\pi$
$719$	2.02122	−	3.50085i	0.0753788	−	0.130560i	0.901251	+	0.433298i	$0.142650\pi$
$720$	−0.376187	−	0.428593i	−0.0140197	−	0.0159727i
$721$	−47.0025	+	6.58318i	−1.75047	+	0.245170i
$722$	0.297100	−	18.2739i	0.0110569	−	0.680085i
$723$	−0.351001	+	0.0940504i	−0.0130539	+	0.00349777i
$724$	−22.0540	−	6.68492i	−0.819631	−	0.248443i
$725$	42.3701	+	11.3530i	1.57359	+	0.421641i
$726$	−4.80171	−	19.1609i	−0.178208	−	0.711127i
$727$		−	31.6328i		−	1.17320i	−0.809879	−	0.586598i	$-0.800467\pi$
$727$		−	31.6328i		−	1.17320i	0.809879	−	0.586598i	$-0.199533\pi$
$728$	−0.998659	−	0.172881i	−0.0370128	−	0.00640741i
$729$		−	1.00000i		−	0.0370370i
$730$	−2.78884	+	0.698882i	−0.103220	+	0.0258668i
$731$	−2.76431	−	0.740694i	−0.102242	−	0.0273956i
$732$	8.02612	−	4.29224i	0.296654	−	0.158646i
$733$	1.09112	−	0.292365i	0.0403015	−	0.0107988i	−0.238612	−	0.971115i	$-0.576692\pi$
$733$	1.09112	−	0.292365i	0.0403015	−	0.0107988i	0.278913	+	0.960316i	$0.410026\pi$
$734$	−10.5848	−	0.172089i	−0.390691	−	0.00635192i
$735$	0.242345	−	0.968102i	0.00893903	−	0.0357090i
$736$	−2.21021	+	27.1314i	−0.0814694	+	1.00008i
$737$	−0.736795	+	1.27617i	−0.0271402	+	0.0470082i
$738$	4.04868	+	7.28345i	0.149034	+	0.268108i
$739$	4.42747	−	16.5235i	0.162867	−	0.607828i	−0.835436	−	0.549589i	$-0.814785\pi$
$739$	4.42747	−	16.5235i	0.162867	−	0.607828i	0.998303	−	0.0582399i	$-0.0185488\pi$
$740$	−1.25607	−	0.780707i	−0.0461741	−	0.0286994i
$741$	−0.236077	+	0.236077i	−0.00867249	+	0.00867249i
$742$	1.31724	−	9.42222i	0.0483574	−	0.345900i
$743$		−	6.36981i		−	0.233686i	−0.993150	−	0.116843i	$-0.962723\pi$
$743$		−	6.36981i		−	0.233686i	0.993150	−	0.116843i	$-0.0372774\pi$
$744$	13.4931	−	2.91872i	0.494683	−	0.107005i
$745$	1.84447	−	1.06491i	0.0675762	−	0.0390152i
$746$	−24.1973	−	6.90714i	−0.885925	−	0.252888i
$747$	0.607873	+	2.26861i	0.0222409	+	0.0830042i
$748$	37.7667	−	35.3874i	1.38089	−	1.29389i
$749$	−4.75357	−	3.58558i	−0.173692	−	0.131014i
$750$	−0.0327089	+	2.01185i	−0.00119436	+	0.0734623i
$751$	−6.47389	+	11.2131i	−0.236236	+	0.409172i	−0.959631	−	0.281262i	$-0.909247\pi$
$751$	−6.47389	+	11.2131i	−0.236236	+	0.409172i	0.723395	+	0.690434i	$0.242580\pi$
$752$	4.20512	+	8.51805i	0.153345	+	0.310621i
$753$	2.83274	+	4.90645i	0.103231	+	0.178801i
$754$	1.44725	+	0.867238i	0.0527056	+	0.0315829i
$755$	−0.871765	−	0.871765i	−0.0317268	−	0.0317268i
$756$	−4.93639	+	1.90579i	−0.179535	+	0.0693131i
$757$	−24.1962	+	24.1962i	−0.879425	+	0.879425i	−0.993475	−	0.114050i	$-0.963617\pi$
$757$	−24.1962	+	24.1962i	−0.879425	+	0.879425i	0.114050	+	0.993475i	$0.463617\pi$
$758$	2.35492	+	9.39716i	0.0855346	+	0.341320i
$759$	20.8235	−	12.0225i	0.755847	−	0.436388i
$760$	0.454457	+	0.884061i	0.0164849	+	0.0320683i
$761$	10.6629	+	6.15624i	0.386530	+	0.223163i	0.680656	−	0.732603i	$-0.261695\pi$
$761$	10.6629	+	6.15624i	0.386530	+	0.223163i	−0.294125	+	0.955767i	$0.595028\pi$
$762$	−0.491466	−	0.507711i	−0.0178039	−	0.0183924i
$763$	−20.4917	−	48.3389i	−0.741850	−	1.74998i
$764$	−21.1865	−	0.689087i	−0.766499	−	0.0249303i
$765$	−0.713179	+	0.191096i	−0.0257850	+	0.00690908i
$766$	−6.09952	−	10.9728i	−0.220384	−	0.396465i
$767$	−0.547985	−	0.949137i	−0.0197866	−	0.0342714i
$768$	15.8613	−	2.10184i	0.572347	−	0.0758436i
$769$	35.1091			1.26607			0.633033	−	0.774125i	$-0.281810\pi$
$769$	35.1091			1.26607			0.633033	+	0.774125i	$0.281810\pi$
$770$	2.64537	−	0.326758i	0.0953327	−	0.0117755i
$771$	12.1457	+	12.1457i	0.437417	+	0.437417i
$772$	6.71620	−	10.8056i	0.241721	−	0.388903i
$773$	44.8375	+	12.0142i	1.61269	+	0.432120i	0.948844	−	0.315746i	$-0.102255\pi$
$773$	44.8375	+	12.0142i	1.61269	+	0.432120i	0.663850	+	0.747866i	$0.268921\pi$
$774$	−0.214509	+	0.751475i	−0.00771037	+	0.0270112i
$775$	−21.0489	−	12.1526i	−0.756099	−	0.436534i
$776$	35.5638	+	1.73583i	1.27667	+	0.0623125i
$777$	−10.8177	+	8.44352i	−0.388084	+	0.302910i
$778$	23.1939	−	22.4518i	0.831542	−	0.804936i
$779$	−3.75942	−	14.0303i	−0.134695	−	0.502689i
$780$	−0.0112023	+	0.0369572i	−0.000401107	+	0.00132328i
$781$	12.7009	−	47.4005i	0.454475	−	1.69612i
$782$	30.2315	+	18.1157i	1.08108	+	0.647817i
$783$	8.80876			0.314799
$784$	18.8155	+	20.7359i	0.671982	+	0.740568i
$785$	0.780578			0.0278600
$786$	26.4076	+	15.8243i	0.941929	+	0.564435i
$787$	7.97296	−	29.7555i	0.284205	−	1.06067i	−0.665213	−	0.746654i	$-0.731659\pi$
$787$	7.97296	−	29.7555i	0.284205	−	1.06067i	0.949418	−	0.314015i	$-0.101674\pi$
$788$	18.1186	+	5.49204i	0.645449	+	0.195646i
$789$	−2.02878	−	7.57152i	−0.0722265	−	0.269553i
$790$	1.45213	−	1.40567i	0.0516644	−	0.0500113i
$791$	−19.4701	+	15.1970i	−0.692278	+	0.540341i
$792$	−9.49447	−	10.4689i	−0.337371	−	0.371995i
$793$	−0.533778	−	0.308177i	−0.0189550	−	0.0109437i
$794$	13.6390	−	47.7807i	0.484032	−	1.69567i
$795$	−0.350153	−	0.0938231i	−0.0124186	−	0.00332756i
$796$	34.9910	+	21.7486i	1.24022	+	0.770857i
$797$	−13.9401	−	13.9401i	−0.493783	−	0.493783i	0.415713	−	0.909496i	$-0.363532\pi$
$797$	−13.9401	−	13.9401i	−0.493783	−	0.493783i	−0.909496	+	0.415713i	$0.863532\pi$
$798$	9.15396	−	1.13070i	0.324047	−	0.0400264i
$799$	12.2991			0.435111
$800$	−23.1712	−	16.0189i	−0.819225	−	0.566354i
$801$	6.08701	+	10.5430i	0.215074	+	0.372519i
$802$	−17.9909	−	32.3650i	−0.635280	−	1.14285i
$803$	−68.8250	+	18.4416i	−2.42878	+	0.650790i
$804$	−0.0191736	+	0.589505i	−0.000676200	+	0.0207902i
$805$	0.708435	+	1.67116i	0.0249690	+	0.0589006i
$806$	−0.650215	−	0.671707i	−0.0229028	−	0.0236599i
$807$	−9.94538	−	5.74197i	−0.350094	−	0.202127i
$808$	−21.0403	−	6.75301i	−0.740197	−	0.237570i
$809$	−20.2704	+	11.7031i	−0.712668	+	0.411459i	−0.812048	−	0.583591i	$-0.801647\pi$
$809$	−20.2704	+	11.7031i	−0.712668	+	0.411459i	0.0993802	+	0.995050i	$0.468314\pi$
$810$	0.0490107	+	0.195574i	0.00172206	+	0.00687176i
$811$	17.2887	−	17.2887i	0.607088	−	0.607088i	−0.335096	−	0.942184i	$-0.608769\pi$
$811$	17.2887	−	17.2887i	0.607088	−	0.607088i	0.942184	+	0.335096i	$0.108769\pi$
$812$	−16.7877	−	43.4835i	−0.589132	−	1.52597i
$813$	19.1457	+	19.1457i	0.671469	+	0.671469i
$814$	−31.4396	−	18.8396i	−1.10196	−	0.660329i
$815$	−0.858284	−	1.48659i	−0.0300644	−	0.0520731i
$816$	6.65045	−	19.6189i	0.232812	−	0.686797i
$817$	0.681102	−	1.17970i	0.0238287	−	0.0412726i
$818$	−0.479677	+	29.5038i	−0.0167715	+	1.03158i
$819$	0.286074	+	0.215784i	0.00999623	+	0.00754009i
$820$	−1.14878	−	1.22602i	−0.0401172	−	0.0428146i
$821$	−6.50167	−	24.2646i	−0.226910	−	0.846839i	−0.981630	−	0.190793i	$-0.938894\pi$
$821$	−6.50167	−	24.2646i	−0.226910	−	0.846839i	0.754720	−	0.656047i	$-0.227773\pi$
$822$	29.7387	+	8.48893i	1.03726	+	0.296085i
$823$	4.41178	−	2.54714i	0.153785	−	0.0887879i	−0.421133	−	0.906999i	$-0.638367\pi$
$823$	4.41178	−	2.54714i	0.153785	−	0.0887879i	0.574918	+	0.818211i	$0.305034\pi$
$824$	−42.6516	−	27.4811i	−1.48584	−	0.957350i
$825$			24.8823i			0.866291i
$826$	−4.19214	+	29.9864i	−0.145863	+	1.04336i
$827$	−19.8436	+	19.8436i	−0.690030	+	0.690030i	−0.962238	−	0.272208i	$-0.912246\pi$
$827$	−19.8436	+	19.8436i	−0.690030	+	0.690030i	0.272208	+	0.962238i	$0.412246\pi$
$828$	5.08050	−	8.17396i	0.176559	−	0.284065i
$829$	5.24851	−	19.5877i	0.182288	−	0.680309i	−0.812907	−	0.582394i	$-0.802116\pi$
$829$	5.24851	−	19.5877i	0.182288	−	0.680309i	0.995195	−	0.0979148i	$-0.0312173\pi$
$830$	−0.230070	−	0.413889i	−0.00798585	−	0.0143663i
$831$	−2.11658	+	3.66603i	−0.0734235	+	0.127173i
$832$	−0.687890	−	0.837113i	−0.0238483	−	0.0290217i
$833$	34.8570	−	9.95952i	1.20772	−	0.345077i
$834$	26.8812	+	0.437039i	0.930821	+	0.0151334i
$835$	1.22160	−	0.327327i	0.0422752	−	0.0113276i
$836$	11.6175	+	21.7237i	0.401798	+	0.751329i
$837$	−4.71457	−	1.26326i	−0.162959	−	0.0436648i
$838$	−21.1690	+	5.30494i	−0.731272	+	0.183256i
$839$		−	3.06714i		−	0.105889i	−0.998597	−	0.0529447i	$-0.983139\pi$
$839$		−	3.06714i		−	0.105889i	0.998597	−	0.0529447i	$-0.0168607\pi$
$840$	0.872024	−	0.614659i	0.0300877	−	0.0212078i
$841$			48.5943i			1.67566i
$842$	−5.25635	−	20.9751i	−0.181146	−	0.722850i
$843$	9.70405	+	2.60019i	0.334225	+	0.0895553i
$844$	0.381121	−	1.25735i	0.0131187	−	0.0432796i
$845$	−1.78770	+	0.479014i	−0.0614988	+	0.0164786i
$846$	0.0545969	−	3.35813i	0.00187708	−	0.115455i
$847$	36.5980	−	5.12591i	1.25752	−	0.176128i
$848$	7.64392	−	6.70926i	0.262493	−	0.230397i
$849$	11.3278	−	19.6203i	0.388768	−	0.673366i
$850$	−31.8772	+	17.7197i	−1.09338	+	0.607781i
$851$	6.45989	−	24.1086i	0.221442	−	0.826433i
$852$	−4.46421	−	19.1277i	−0.152941	−	0.655303i
$853$	31.2169	−	31.2169i	1.06885	−	1.06885i	0.0713978	−	0.997448i	$-0.477254\pi$
$853$	31.2169	−	31.2169i	1.06885	−	1.06885i	0.997448	−	0.0713978i	$-0.0227460\pi$
$854$	6.39018	+	15.7833i	0.218667	+	0.540093i
$855$		−	0.351443i		−	0.0120191i
$856$	−1.34577	−	6.22145i	−0.0459975	−	0.212645i
$857$	27.1179	−	15.6565i	0.926330	−	0.534817i	0.0406811	−	0.999172i	$-0.487047\pi$
$857$	27.1179	−	15.6565i	0.926330	−	0.534817i	0.885649	+	0.464355i	$0.153714\pi$
$858$	−0.262701	+	0.920301i	−0.00896846	+	0.0314186i
$859$	11.2636	+	42.0363i	0.384309	+	1.43426i	0.839253	+	0.543741i	$0.182993\pi$
$859$	11.2636	+	42.0363i	0.384309	+	1.43426i	−0.454944	+	0.890520i	$0.650341\pi$
$860$	0.00512208	−	0.157482i	0.000174662	−	0.00537009i
$861$	−14.3534	+	6.08465i	−0.489161	+	0.207364i
$862$	−48.4382	−	0.787515i	−1.64981	−	0.0268229i
$863$	−18.3075	+	31.7095i	−0.623195	+	1.07941i	0.365692	+	0.930736i	$0.380832\pi$
$863$	−18.3075	+	31.7095i	−0.623195	+	1.07941i	−0.988887	+	0.148669i	$0.952501\pi$
$864$	−5.32718	−	1.90292i	−0.181234	−	0.0647387i
$865$	0.749547	+	1.29825i	0.0254854	+	0.0441419i
$866$	−24.6309	+	41.1040i	−0.836991	+	1.39677i
$867$	−6.94414	−	6.94414i	−0.235835	−	0.235835i
$868$	2.74903	+	25.6805i	0.0933081	+	0.871652i
$869$	35.4170	−	35.4170i	1.20144	−	1.20144i
$870$	−1.72276	+	0.431723i	−0.0584071	+	0.0146368i
$871$	0.0345902	−	0.0199706i	0.00117204	−	0.000676680i
$872$	17.1528	−	53.4428i	0.580866	−	1.80980i
$873$	−10.9021	−	6.29433i	−0.368980	−	0.213031i
$874$	−12.0535	+	11.6679i	−0.407716	+	0.394671i
$875$	−3.73605	−	0.460517i	−0.126301	−	0.0155683i
$876$	−20.8113	+	19.5002i	−0.703148	+	0.658849i
$877$	1.84571	−	0.494557i	0.0623252	−	0.0167000i	−0.227522	−	0.973773i	$-0.573062\pi$
$877$	1.84571	−	0.494557i	0.0623252	−	0.0167000i	0.289847	+	0.957073i	$0.406396\pi$
$878$	−26.8261	+	14.9119i	−0.905337	+	0.503254i
$879$	11.7069	+	20.2769i	0.394863	+	0.683922i
$880$	2.36996	+	1.58210i	0.0798912	+	0.0533327i
$881$	−33.9062			−1.14233			−0.571164	−	0.820836i	$-0.693508\pi$
$881$	−33.9062			−1.14233			−0.571164	+	0.820836i	$0.693508\pi$
$882$	−2.56460	−	9.56153i	−0.0863546	−	0.321953i
$883$	35.2802	+	35.2802i	1.18727	+	1.18727i	0.977818	+	0.209455i	$0.0671689\pi$
$883$	35.2802	+	35.2802i	1.18727	+	1.18727i	0.209455	+	0.977818i	$0.432831\pi$
$884$	−1.36610	+	0.318833i	−0.0459468	+	0.0107235i
$885$	1.11437	+	0.298594i	0.0374591	+	0.0100371i
$886$	26.7642	+	7.63985i	0.899159	+	0.256666i
$887$	10.1685	+	5.87076i	0.341423	+	0.197121i	0.660901	−	0.750473i	$-0.270174\pi$
$887$	10.1685	+	5.87076i	0.341423	+	0.197121i	−0.319478	+	0.947594i	$0.603508\pi$
$888$	−14.6529	−	0.715190i	−0.491718	−	0.0240002i
$889$	1.04210	−	0.813390i	0.0349510	−	0.0272802i
$890$	−1.70718	−	1.76361i	−0.0572248	−	0.0591163i
$891$	1.29326	+	4.82651i	0.0433258	+	0.161694i
$892$	8.00435	+	14.9675i	0.268006	+	0.501148i
$893$	−1.51520	+	5.65479i	−0.0507041	+	0.189230i
$894$	10.8595	−	18.1223i	0.363195	−	0.606099i
$895$	−2.17411			−0.0726724
$896$	0.758962	+	29.9236i	0.0253551	+	0.999679i
$897$	−0.651732			−0.0217607
$898$	−5.68548	+	9.48792i	−0.189727	+	0.316616i
$899$	11.1278	−	41.5295i	0.371133	−	1.38509i
$900$	4.69666	+	8.78237i	0.156555	+	0.292746i
$901$	−3.40817	−	12.7195i	−0.113543	−	0.423747i
$902$	−28.9604	−	29.9177i	−0.964277	−	0.996149i
$903$	−1.35532	−	0.548328i	−0.0451022	−	0.0182472i
$904$	−26.3728	−	1.28722i	−0.877146	−	0.0428125i
$905$	−1.42265	−	0.821365i	−0.0472904	−	0.0273031i
$906$	−11.7598	−	3.35683i	−0.390692	−	0.111523i
$907$	48.2227	+	12.9212i	1.60121	+	0.429043i	0.945408	−	0.325890i	$-0.105664\pi$
$907$	48.2227	+	12.9212i	1.60121	+	0.429043i	0.655802	+	0.754933i	$0.272331\pi$
$908$	15.6739	−	3.65813i	0.520156	−	0.121399i
$909$	5.52437	+	5.52437i	0.183232	+	0.183232i
$910$	−0.0665243	−	0.0281810i	−0.00220526	−	0.000934190i
$911$	0.183986			0.00609572			0.00304786	−	0.999995i	$-0.499030\pi$
$911$	0.183986			0.00609572			0.00304786	+	0.999995i	$0.499030\pi$
$912$	8.20091	+	5.47466i	0.271559	+	0.181284i
$913$	−5.86781	−	10.1633i	−0.194196	−	0.336358i
$914$	−40.7004	+	22.6243i	−1.34625	+	0.748345i
$915$	0.626701	−	0.167924i	0.0207181	−	0.00555140i
$916$	1.17012	−	1.09640i	0.0386619	−	0.0362262i
$917$	−34.6833	+	45.9812i	−1.14534	+	1.51843i
$918$	−5.26235	+	5.09398i	−0.173684	+	0.168126i
$919$	35.0067	+	20.2112i	1.15477	+	0.666704i	0.950044	−	0.312116i	$-0.101038\pi$
$919$	35.0067	+	20.2112i	1.15477	+	0.666704i	0.204722	+	0.978820i	$0.434371\pi$
$920$	−0.593001	+	1.84761i	−0.0195507	+	0.0609139i
$921$	−11.8169	+	6.82249i	−0.389380	+	0.224809i
$922$	−8.61476	+	2.15885i	−0.283712	+	0.0710980i
$923$	−0.940523	+	0.940523i	−0.0309577	+	0.0309577i
$924$	21.3609	−	15.5824i	0.702721	−	0.512623i
$925$	18.2634	+	18.2634i	0.600495	+	0.600495i
$926$	19.4993	−	32.5404i	0.640787	−	1.06934i
$927$	8.96935	+	15.5354i	0.294592	+	0.510248i
$928$	16.7624	−	46.9259i	0.550252	−	1.54042i
$929$	−1.81799	+	3.14886i	−0.0596465	+	0.103311i	−0.894307	−	0.447454i	$-0.852331\pi$
$929$	−1.81799	+	3.14886i	−0.0596465	+	0.103311i	0.834660	+	0.550765i	$0.185664\pi$
$930$	0.983959	+	0.0159973i	0.0322653	+	0.000524574i
$931$	0.284882	+	17.2533i	0.00933661	+	0.565454i
$932$	−0.115309	+	3.54526i	−0.00377708	+	0.116129i
$933$	7.46035	+	27.8424i	0.244241	+	0.911520i
$934$	−7.34365	+	25.7265i	−0.240292	+	0.841797i
$935$	3.19503	−	1.84465i	0.104489	−	0.0603266i
$936$	0.0809896	+	0.374412i	0.00264723	+	0.0122380i
$937$		−	56.0184i		−	1.83004i	−0.403405	−	0.915021i	$-0.632174\pi$
$937$		−	56.0184i		−	1.83004i	0.403405	−	0.915021i	$-0.367826\pi$
$938$	−1.09282	−	0.152778i	−0.0356818	−	0.00498837i
$939$	0.242723	−	0.242723i	0.00792098	−	0.00792098i
$940$	0.153906	+	0.659438i	0.00501988	+	0.0215085i
$941$	9.49941	−	35.4523i	0.309672	−	1.15571i	−0.619176	−	0.785252i	$-0.712533\pi$
$941$	9.49941	−	35.4523i	0.309672	−	1.15571i	0.928848	−	0.370460i	$-0.120800\pi$
$942$	6.76769	−	3.76199i	0.220503	−	0.122572i
$943$	14.1774	−	24.5559i	0.461679	−	0.799651i
$944$	−24.3269	+	21.3524i	−0.791774	+	0.694960i
$945$	−0.373553	+	0.0523198i	−0.0121517	+	0.00170196i
$946$	0.0634786	−	3.90442i	0.00206387	−	0.126944i
$947$	−32.7639	+	8.77905i	−1.06468	+	0.285281i	−0.748307	−	0.663353i	$-0.769133\pi$
$947$	−32.7639	+	8.77905i	−1.06468	+	0.285281i	−0.316376	+	0.948634i	$0.602466\pi$
$948$	5.81551	−	19.1858i	0.188879	−	0.623125i
$949$	1.86549	+	0.499855i	0.0605562	+	0.0162260i
$950$	−4.21991	−	16.8393i	−0.136912	−	0.546338i
$951$			0.481767i			0.0156224i
$952$	35.1748	+	16.2690i	1.14002	+	0.527280i
$953$		−	17.4729i		−	0.566003i	−0.959119	−	0.283002i	$-0.908670\pi$
$953$		−	17.4729i		−	0.566003i	0.959119	−	0.283002i	$-0.0913302\pi$
$954$	−3.48804	+	0.874100i	−0.112929	+	0.0283000i
$955$	−1.45956	−	0.391089i	−0.0472304	−	0.0126553i
$956$	13.3357	+	24.9366i	0.431307	+	0.806507i
$957$	−42.5156	+	11.3920i	−1.37433	+	0.368252i
$958$	29.7298	+	0.483351i	0.960525	+	0.0156164i
$959$	−21.6994	+	53.6350i	−0.700710	+	1.73197i
$960$	1.13512	+	0.111072i	0.0366359	+	0.00358485i
$961$	3.58851	−	6.21549i	0.115759	−	0.200500i
$962$	0.482672	+	0.868311i	0.0155620	+	0.0279955i
$963$	−0.582469	+	2.17380i	−0.0187698	+	0.0700498i
$964$	0.383651	−	0.617252i	0.0123566	−	0.0198803i
$965$	0.641295	−	0.641295i	0.0206440	−	0.0206440i
$966$	14.1963	+	11.0748i	0.456760	+	0.356327i
$967$			43.2766i			1.39168i	0.718196	+	0.695841i	$0.244968\pi$
$967$			43.2766i			1.39168i	−0.718196	+	0.695841i	$0.755032\pi$
$968$	33.2102	+	21.3978i	1.06742	+	0.687753i
$969$	11.0560	−	6.38317i	0.355169	−	0.205057i
$970$	2.44066	+	0.696687i	0.0783647	+	0.0223693i
$971$	7.17957	+	26.7945i	0.230403	+	0.859877i	0.980167	+	0.198172i	$0.0635003\pi$
$971$	7.17957	+	26.7945i	0.230403	+	0.859877i	−0.749764	+	0.661705i	$0.769833\pi$
$972$	1.36749	+	1.45944i	0.0438624	+	0.0468115i
$973$	−6.15318	+	49.9190i	−0.197262	+	1.60033i
$974$	−0.0284882	+	1.75224i	−0.000912822	+	0.0561455i
$975$	0.337214	−	0.584072i	0.0107995	−	0.0187053i
$976$	−5.84403	+	17.2399i	−0.187063	+	0.551837i
$977$	14.5770	+	25.2481i	0.466360	+	0.807759i	0.999262	−	0.0384182i	$-0.0122319\pi$
$977$	14.5770	+	25.2481i	0.466360	+	0.807759i	−0.532902	+	0.846177i	$0.678899\pi$
$978$	−14.6060	−	8.75242i	−0.467049	−	0.279871i
$979$	−43.0139	−	43.0139i	−1.37473	−	1.37473i
$980$	0.970186	+	1.74429i	0.0309914	+	0.0557193i
$981$	−14.0320	+	14.0320i	−0.448007	+	0.448007i
$982$	8.30633	+	33.1459i	0.265066	+	1.05773i
$983$	−16.3548	+	9.44247i	−0.521638	+	0.301168i	−0.737605	−	0.675233i	$-0.764043\pi$
$983$	−16.3548	+	9.44247i	−0.521638	+	0.301168i	0.215966	+	0.976401i	$0.430710\pi$
$984$	−15.8689	−	5.09320i	−0.505881	−	0.162365i
$985$	1.16878	+	0.674798i	0.0372405	+	0.0215008i
$986$	−44.8716	−	46.3548i	−1.42900	−	1.47624i
$987$	6.23612	+	0.768684i	0.198498	+	0.0244675i
$988$	0.0217062	−	0.667373i	0.000690567	−	0.0212320i
$989$	2.56855	−	0.688240i	0.0816750	−	0.0218847i
$990$	−0.489478	−	0.880556i	−0.0155566	−	0.0279859i
$991$	16.1545	+	27.9805i	0.513165	+	0.888829i	0.999883	+	0.0152695i	$0.00486061\pi$
$991$	16.1545	+	27.9805i	0.513165	+	0.888829i	−0.486718	+	0.873559i	$0.661806\pi$
$992$	−15.7011	+	22.7115i	−0.498510	+	0.721090i
$993$	−19.0869			−0.605704
$994$	36.4691	−	4.50469i	1.15673	−	0.142880i
$995$	2.07666	+	2.07666i	0.0658345	+	0.0658345i
$996$	−3.98946	−	2.47964i	−0.126411	−	0.0785704i
$997$	18.3563	+	4.91856i	0.581350	+	0.155772i	0.537497	−	0.843266i	$-0.319370\pi$
$997$	18.3563	+	4.91856i	0.581350	+	0.155772i	0.0438531	+	0.999038i	$0.486037\pi$
$998$	5.29692	−	18.5563i	0.167671	−	0.587390i
$999$	4.49185	+	2.59337i	0.142116	+	0.0820506i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bq.b.205.10	yes	120
7.4	even	3	inner	336.2.bq.b.109.11	yes	120
16.5	even	4	inner	336.2.bq.b.37.11	✓	120
112.53	even	12	inner	336.2.bq.b.277.10	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bq.b.37.11	✓	120	16.5	even	4	inner
336.2.bq.b.109.11	yes	120	7.4	even	3	inner
336.2.bq.b.205.10	yes	120	1.1	even	1	trivial
336.2.bq.b.277.10	yes	120	112.53	even	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.bq (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.726923 + 1.21309i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(-0.943167 - 1.76364i) q^{4} +(-0.0368993 - 0.137710i) q^{5} +(-0.983612 - 1.01612i) q^{6} +(2.08565 - 1.62790i) q^{7} +(2.82506 + 0.137888i) q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.726923 + 1.21309i) q^{2} +(-0.258819 + 0.965926i) q^{3} +(-0.943167 - 1.76364i) q^{4} +(-0.0368993 - 0.137710i) q^{5} +(-0.983612 - 1.01612i) q^{6} +(2.08565 - 1.62790i) q^{7} +(2.82506 + 0.137888i) q^{8} +(-0.866025 - 0.500000i) q^{9} +(0.193877 + 0.0553424i) q^{10} +(4.82651 + 1.29326i) q^{11} +(1.94766 - 0.454564i) q^{12} +(-0.0957679 - 0.0957679i) q^{13} +(0.458686 + 3.71344i) q^{14} +0.142568 q^{15} +(-2.22087 + 3.32682i) q^{16} +(2.58943 + 4.48502i) q^{17} +(1.23608 - 0.687104i) q^{18} +(-2.38110 + 0.638013i) q^{19} +(-0.208069 + 0.194961i) q^{20} +(1.03263 + 2.43591i) q^{21} +(-5.07734 + 4.91489i) q^{22} +(-4.16740 - 2.40605i) q^{23} +(-0.864370 + 2.69311i) q^{24} +(4.31252 - 2.48984i) q^{25} +(0.185791 - 0.0465591i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-4.83816 - 2.14295i) q^{28} +(6.22873 + 6.22873i) q^{29} +(-0.103636 + 0.172947i) q^{30} +(-2.44044 - 4.22696i) q^{31} +(-2.42132 - 5.11246i) q^{32} +(-2.49839 + 4.32733i) q^{33} +(-7.32303 - 0.119059i) q^{34} +(-0.301137 - 0.227146i) q^{35} +(-0.0650154 + 1.99894i) q^{36} +(1.34243 + 5.01001i) q^{37} +(0.956907 - 3.35226i) q^{38} +(0.117291 - 0.0677181i) q^{39} +(-0.0852542 - 0.394127i) q^{40} +5.89239i q^{41} +(-3.70562 - 0.518051i) q^{42} +(-0.390746 + 0.390746i) q^{43} +(-2.27136 - 9.73201i) q^{44} +(-0.0368993 + 0.137710i) q^{45} +(5.94812 - 3.30641i) q^{46} +(1.18744 - 2.05670i) q^{47} +(-2.63866 - 3.00624i) q^{48} +(1.69986 - 6.79047i) q^{49} +(-0.114480 + 7.04139i) q^{50} +(-5.00239 + 1.34039i) q^{51} +(-0.0785753 + 0.259225i) q^{52} +(-2.45604 - 0.658095i) q^{53} +(0.343771 + 1.37180i) q^{54} -0.712379i q^{55} +(6.11656 - 4.31135i) q^{56} -2.46509i q^{57} +(-12.0838 + 3.02820i) q^{58} +(7.81641 + 2.09440i) q^{59} +(-0.134465 - 0.251439i) q^{60} +(4.39581 - 1.17785i) q^{61} +(6.90169 + 0.112209i) q^{62} +(-2.62018 + 0.366982i) q^{63} +(7.96197 + 0.779085i) q^{64} +(-0.00965443 + 0.0167220i) q^{65} +(-3.43330 - 6.17640i) q^{66} +(-0.0763279 + 0.284860i) q^{67} +(5.46771 - 8.79694i) q^{68} +(3.40267 - 3.40267i) q^{69} +(0.494452 - 0.200189i) q^{70} -9.82085i q^{71} +(-2.37763 - 1.53195i) q^{72} +(-12.3493 + 7.12989i) q^{73} +(-7.05342 - 2.01341i) q^{74} +(1.28883 + 4.81000i) q^{75} +(3.37100 + 3.59765i) q^{76} +(12.1717 - 5.15981i) q^{77} +(-0.00311360 + 0.191511i) q^{78} +(5.01195 - 8.68095i) q^{79} +(0.540084 + 0.183079i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-7.14799 - 4.28331i) q^{82} +(-1.66074 - 1.66074i) q^{83} +(3.32214 - 4.11866i) q^{84} +(0.522083 - 0.522083i) q^{85} +(-0.189967 - 0.758051i) q^{86} +(-7.62861 + 4.40438i) q^{87} +(13.4569 + 4.31906i) q^{88} +(-10.5430 - 6.08701i) q^{89} +(-0.140231 - 0.144867i) q^{90} +(-0.355639 - 0.0438372i) q^{91} +(-0.312860 + 9.61910i) q^{92} +(4.71457 - 1.26326i) q^{93} +(1.63178 + 2.93552i) q^{94} +(0.175721 + 0.304358i) q^{95} +(5.56494 - 1.01562i) q^{96} +12.5887 q^{97} +(7.00177 + 6.99823i) q^{98} +(-3.53325 - 3.53325i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Introduction

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