LMFDB - Embedded newform 429.2.bj.a.73.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.7
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.a.382.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.447102 + 0.0708140i) q^{2} +(0.309017 - 0.951057i) q^{3} +(-1.70723 + 0.554712i) q^{4} +(4.30790 + 0.682304i) q^{5} +(-0.0708140 + 0.447102i) q^{6} +(1.76348 - 3.46103i) q^{7} +(1.53070 - 0.779929i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-0.447102 + 0.0708140i) q^{2} +(0.309017 - 0.951057i) q^{3} +(-1.70723 + 0.554712i) q^{4} +(4.30790 + 0.682304i) q^{5} +(-0.0708140 + 0.447102i) q^{6} +(1.76348 - 3.46103i) q^{7} +(1.53070 - 0.779929i) q^{8} +(-0.809017 - 0.587785i) q^{9} -1.97439 q^{10} +(-0.575686 + 3.26628i) q^{11} +1.79509i q^{12} +(-2.89426 + 2.15018i) q^{13} +(-0.543367 + 1.67231i) q^{14} +(1.98012 - 3.88621i) q^{15} +(2.27536 - 1.65315i) q^{16} +(1.98193 - 1.43996i) q^{17} +(0.403336 + 0.205510i) q^{18} +(-0.905620 - 1.77738i) q^{19} +(-7.73304 + 1.22479i) q^{20} +(-2.74669 - 2.74669i) q^{21} +(0.0260918 - 1.50113i) q^{22} -4.42460i q^{23} +(-0.268745 - 1.69679i) q^{24} +(13.3372 + 4.33351i) q^{25} +(1.14176 - 1.16630i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-1.09079 + 6.88699i) q^{28} +(3.69888 - 1.20184i) q^{29} +(-0.610119 + 1.87775i) q^{30} +(0.257921 + 1.62845i) q^{31} +(-3.32979 + 3.32979i) q^{32} +(2.92852 + 1.55685i) q^{33} +(-0.784157 + 0.784157i) q^{34} +(9.95837 - 13.7065i) q^{35} +(1.70723 + 0.554712i) q^{36} +(4.32033 + 2.20132i) q^{37} +(0.530768 + 0.730539i) q^{38} +(1.15057 + 3.41704i) q^{39} +(7.12623 - 2.31545i) q^{40} +(-2.34404 - 4.60045i) q^{41} +(1.42255 + 1.03355i) q^{42} -4.65642 q^{43} +(-0.829018 - 5.89562i) q^{44} +(-3.08411 - 3.08411i) q^{45} +(0.313324 + 1.97825i) q^{46} +(-0.722377 - 1.41775i) q^{47} +(-0.869111 - 2.67485i) q^{48} +(-4.75435 - 6.54380i) q^{49} +(-6.26995 - 0.993062i) q^{50} +(-0.757031 - 2.32990i) q^{51} +(3.74842 - 5.27633i) q^{52} +(6.07241 + 4.41186i) q^{53} +(0.320090 - 0.320090i) q^{54} +(-4.70859 + 13.6780i) q^{55} -6.67317i q^{56} +(-1.97024 + 0.312055i) q^{57} +(-1.56867 + 0.799277i) q^{58} +(-8.24898 - 4.20306i) q^{59} +(-1.22479 + 7.73304i) q^{60} +(-2.20812 - 3.03921i) q^{61} +(-0.230634 - 0.709820i) q^{62} +(-3.46103 + 1.76348i) q^{63} +(-2.05333 + 2.82617i) q^{64} +(-13.9352 + 7.28800i) q^{65} +(-1.41959 - 0.488688i) q^{66} +(6.02729 + 6.02729i) q^{67} +(-2.58485 + 3.55774i) q^{68} +(-4.20805 - 1.36728i) q^{69} +(-3.48179 + 6.83341i) q^{70} +(-0.915711 - 0.145034i) q^{71} +(-1.69679 - 0.268745i) q^{72} +(-6.76533 + 13.2777i) q^{73} +(-2.08751 - 0.678273i) q^{74} +(8.24282 - 11.3453i) q^{75} +(2.53203 + 2.53203i) q^{76} +(10.2895 + 7.75249i) q^{77} +(-0.756397 - 1.44629i) q^{78} +(-3.58744 + 4.93768i) q^{79} +(10.9300 - 5.56910i) q^{80} +(0.309017 + 0.951057i) q^{81} +(1.37380 + 1.89088i) q^{82} +(1.53323 - 9.68043i) q^{83} +(6.21284 + 3.16560i) q^{84} +(9.52046 - 4.85091i) q^{85} +(2.08190 - 0.329740i) q^{86} -3.88923i q^{87} +(1.66627 + 5.44868i) q^{88} +(-11.2468 + 11.2468i) q^{89} +(1.59731 + 1.16052i) q^{90} +(2.33787 + 13.8089i) q^{91} +(2.45438 + 7.55381i) q^{92} +(1.62845 + 0.257921i) q^{93} +(0.423372 + 0.582722i) q^{94} +(-2.68861 - 8.27468i) q^{95} +(2.13786 + 4.19578i) q^{96} +(1.55711 + 9.83122i) q^{97} +(2.58907 + 2.58907i) q^{98} +(2.38561 - 2.30410i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.447102	+	0.0708140i	−0.316149	+	0.0500731i	−0.312492	−	0.949920i	$-0.601164\pi$
$2$	−0.447102	+	0.0708140i	−0.316149	+	0.0500731i	−0.00365642	+	0.999993i	$0.501164\pi$
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$3$	0.309017	−	0.951057i	0.178411	−	0.549093i
$4$	−1.70723	+	0.554712i	−0.853614	+	0.277356i
$5$	4.30790	+	0.682304i	1.92655	+	0.305136i	0.997841	−	0.0656724i	$-0.0209192\pi$
$5$	4.30790	+	0.682304i	1.92655	+	0.305136i	0.928710	+	0.370808i	$0.120919\pi$
$6$	−0.0708140	+	0.447102i	−0.0289097	+	0.182529i
$7$	1.76348	−	3.46103i	0.666533	−	1.30815i	−0.271780	−	0.962359i	$-0.587612\pi$
$7$	1.76348	−	3.46103i	0.666533	−	1.30815i	0.938313	−	0.345786i	$-0.112388\pi$
$8$	1.53070	−	0.779929i	0.541183	−	0.275746i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−1.97439			−0.624356
$11$	−0.575686	+	3.26628i	−0.173576	+	0.984821i
$11$	−0.575686	+	3.26628i	−0.173576	+	0.984821i
$12$			1.79509i			0.518196i
$13$	−2.89426	+	2.15018i	−0.802722	+	0.596353i
$13$	−2.89426	+	2.15018i	−0.802722	+	0.596353i
$14$	−0.543367	+	1.67231i	−0.145221	+	0.446944i
$15$	1.98012	−	3.88621i	0.511266	−	1.00342i
$16$	2.27536	−	1.65315i	0.568840	−	0.413287i
$17$	1.98193	−	1.43996i	0.480689	−	0.349241i	−0.320903	−	0.947112i	$-0.603986\pi$
$17$	1.98193	−	1.43996i	0.480689	−	0.349241i	0.801593	+	0.597871i	$0.203986\pi$
$18$	0.403336	+	0.205510i	0.0950673	+	0.0484392i
$19$	−0.905620	−	1.77738i	−0.207763	−	0.407759i	0.763485	−	0.645825i	$-0.223486\pi$
$19$	−0.905620	−	1.77738i	−0.207763	−	0.407759i	−0.971249	+	0.238066i	$0.923486\pi$
$20$	−7.73304	+	1.22479i	−1.72916	+	0.273872i
$21$	−2.74669	−	2.74669i	−0.599376	−	0.599376i
$22$	0.0260918	−	1.50113i	0.00556279	−	0.320041i
$23$		−	4.42460i		−	0.922594i	−0.887246	−	0.461297i	$-0.847384\pi$
$23$		−	4.42460i		−	0.922594i	0.887246	−	0.461297i	$-0.152616\pi$
$24$	−0.268745	−	1.69679i	−0.0548574	−	0.346356i
$25$	13.3372	+	4.33351i	2.66743	+	0.866702i
$26$	1.14176	−	1.16630i	0.223918	−	0.228731i
$27$	−0.809017	+	0.587785i	−0.155695	+	0.113119i
$28$	−1.09079	+	6.88699i	−0.206140	+	1.30152i
$29$	3.69888	−	1.20184i	0.686865	−	0.223176i	0.0552664	−	0.998472i	$-0.482399\pi$
$29$	3.69888	−	1.20184i	0.686865	−	0.223176i	0.631598	+	0.775296i	$0.282399\pi$
$30$	−0.610119	+	1.87775i	−0.111392	+	0.342829i
$31$	0.257921	+	1.62845i	0.0463241	+	0.292479i	0.999964	−	0.00847094i	$-0.00269642\pi$
$31$	0.257921	+	1.62845i	0.0463241	+	0.292479i	−0.953640	+	0.300950i	$0.902696\pi$
$32$	−3.32979	+	3.32979i	−0.588629	+	0.588629i
$33$	2.92852	+	1.55685i	0.509790	+	0.271012i
$34$	−0.784157	+	0.784157i	−0.134482	+	0.134482i
$35$	9.95837	−	13.7065i	1.68327	−	2.31683i
$36$	1.70723	+	0.554712i	0.284538	+	0.0924520i
$37$	4.32033	+	2.20132i	0.710257	+	0.361894i	0.771501	−	0.636229i	$-0.219507\pi$
$37$	4.32033	+	2.20132i	0.710257	+	0.361894i	−0.0612431	+	0.998123i	$0.519507\pi$
$38$	0.530768	+	0.730539i	0.0861019	+	0.118509i
$39$	1.15057	+	3.41704i	0.184239	+	0.547165i
$40$	7.12623	−	2.31545i	1.12676	−	0.366105i
$41$	−2.34404	−	4.60045i	−0.366078	−	0.718469i	0.632340	−	0.774691i	$-0.282095\pi$
$41$	−2.34404	−	4.60045i	−0.366078	−	0.718469i	−0.998418	+	0.0562218i	$0.982095\pi$
$42$	1.42255	+	1.03355i	0.219505	+	0.159479i
$43$	−4.65642			−0.710098			−0.355049	−	0.934848i	$-0.615536\pi$
$43$	−4.65642			−0.710098			−0.355049	+	0.934848i	$0.615536\pi$
$44$	−0.829018	−	5.89562i	−0.124979	−	0.888799i
$45$	−3.08411	−	3.08411i	−0.459753	−	0.459753i
$46$	0.313324	+	1.97825i	0.0461971	+	0.291677i
$47$	−0.722377	−	1.41775i	−0.105370	−	0.206799i	0.832302	−	0.554323i	$-0.187023\pi$
$47$	−0.722377	−	1.41775i	−0.105370	−	0.206799i	−0.937671	+	0.347523i	$0.887023\pi$
$48$	−0.869111	−	2.67485i	−0.125445	−	0.386081i
$49$	−4.75435	−	6.54380i	−0.679192	−	0.934828i
$50$	−6.26995	−	0.993062i	−0.886704	−	0.140440i
$51$	−0.757031	−	2.32990i	−0.106006	−	0.326252i
$52$	3.74842	−	5.27633i	0.519813	−	0.731695i
$53$	6.07241	+	4.41186i	0.834109	+	0.606016i	0.920719	−	0.390227i	$-0.127603\pi$
$53$	6.07241	+	4.41186i	0.834109	+	0.606016i	−0.0866097	+	0.996242i	$0.527603\pi$
$54$	0.320090	−	0.320090i	0.0435587	−	0.0435587i
$55$	−4.70859	+	13.6780i	−0.634906	+	1.84434i
$56$		−	6.67317i		−	0.891740i
$57$	−1.97024	+	0.312055i	−0.260965	+	0.0413327i
$58$	−1.56867	+	0.799277i	−0.205976	+	0.104950i
$59$	−8.24898	−	4.20306i	−1.07393	−	0.547192i	−0.174675	−	0.984626i	$-0.555887\pi$
$59$	−8.24898	−	4.20306i	−1.07393	−	0.547192i	−0.899250	+	0.437434i	$0.855887\pi$
$60$	−1.22479	+	7.73304i	−0.158120	+	0.998332i
$61$	−2.20812	−	3.03921i	−0.282721	−	0.389131i	0.643912	−	0.765100i	$-0.277310\pi$
$61$	−2.20812	−	3.03921i	−0.282721	−	0.389131i	−0.926633	+	0.375968i	$0.877310\pi$
$62$	−0.230634	−	0.709820i	−0.0292906	−	0.0901472i
$63$	−3.46103	+	1.76348i	−0.436048	+	0.222178i
$64$	−2.05333	+	2.82617i	−0.256667	+	0.353272i
$65$	−13.9352	+	7.28800i	−1.72845	+	0.903966i
$66$	−1.41959	−	0.488688i	−0.174740	−	0.0601534i
$67$	6.02729	+	6.02729i	0.736351	+	0.736351i	0.971870	−	0.235519i	$-0.0756790\pi$
$67$	6.02729	+	6.02729i	0.736351	+	0.736351i	−0.235519	+	0.971870i	$0.575679\pi$
$68$	−2.58485	+	3.55774i	−0.313459	+	0.431439i
$69$	−4.20805	−	1.36728i	−0.506590	−	0.164601i
$70$	−3.48179	+	6.83341i	−0.416154	+	0.816748i
$71$	−0.915711	−	0.145034i	−0.108675	−	0.0172124i	0.101860	−	0.994799i	$-0.467521\pi$
$71$	−0.915711	−	0.145034i	−0.108675	−	0.0172124i	−0.210535	+	0.977586i	$0.567521\pi$
$72$	−1.69679	−	0.268745i	−0.199969	−	0.0316719i
$73$	−6.76533	+	13.2777i	−0.791822	+	1.55404i	0.0401325	+	0.999194i	$0.487222\pi$
$73$	−6.76533	+	13.2777i	−0.791822	+	1.55404i	−0.831955	+	0.554844i	$0.812778\pi$
$74$	−2.08751	−	0.678273i	−0.242668	−	0.0788477i
$75$	8.24282	−	11.3453i	0.951799	−	1.31004i
$76$	2.53203	+	2.53203i	0.290444	+	0.290444i
$77$	10.2895	+	7.75249i	1.17259	+	0.883478i
$78$	−0.756397	−	1.44629i	−0.0856451	−	0.163760i
$79$	−3.58744	+	4.93768i	−0.403618	+	0.555533i	−0.961647	−	0.274288i	$-0.911558\pi$
$79$	−3.58744	+	4.93768i	−0.403618	+	0.555533i	0.558029	+	0.829821i	$0.311558\pi$
$80$	10.9300	−	5.56910i	1.22201	−	0.622644i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	1.37380	+	1.89088i	0.151711	+	0.208813i
$83$	1.53323	−	9.68043i	0.168294	−	1.06257i	−0.748480	−	0.663158i	$-0.769216\pi$
$83$	1.53323	−	9.68043i	0.168294	−	1.06257i	0.916773	−	0.399408i	$-0.130784\pi$
$84$	6.21284	+	3.16560i	0.677876	+	0.345395i
$85$	9.52046	−	4.85091i	1.03264	−	0.526156i
$86$	2.08190	−	0.329740i	0.224497	−	0.0355568i
$87$		−	3.88923i		−	0.416970i
$88$	1.66627	+	5.44868i	0.177625	+	0.580831i
$89$	−11.2468	+	11.2468i	−1.19216	+	1.19216i	−0.215703	+	0.976459i	$0.569204\pi$
$89$	−11.2468	+	11.2468i	−1.19216	+	1.19216i	−0.976459	+	0.215703i	$0.930796\pi$
$90$	1.59731	+	1.16052i	0.168371	+	0.122329i
$91$	2.33787	+	13.8089i	0.245076	+	1.44757i
$92$	2.45438	+	7.55381i	0.255887	+	0.787539i
$93$	1.62845	+	0.257921i	0.168863	+	0.0267452i
$94$	0.423372	+	0.582722i	0.0436675	+	0.0601032i
$95$	−2.68861	−	8.27468i	−0.275845	−	0.848964i
$96$	2.13786	+	4.19578i	0.218194	+	0.428230i
$97$	1.55711	+	9.83122i	0.158101	+	0.998209i	0.931355	+	0.364113i	$0.118628\pi$
$97$	1.55711	+	9.83122i	0.158101	+	0.998209i	−0.773254	+	0.634096i	$0.781372\pi$
$98$	2.58907	+	2.58907i	0.261536	+	0.261536i
$99$	2.38561	−	2.30410i	0.239763	−	0.231570i
$100$	−25.1734			−2.51734
$101$	−8.26038	−	6.00152i	−0.821938	−	0.597173i	0.0953288	−	0.995446i	$-0.469610\pi$
$101$	−8.26038	−	6.00152i	−0.821938	−	0.597173i	−0.917267	+	0.398273i	$0.869610\pi$
$102$	0.503460	+	0.988095i	0.0498499	+	0.0978360i
$103$	−14.9545	+	4.85900i	−1.47351	+	0.478772i	−0.932166	−	0.362031i	$-0.882084\pi$
$103$	−14.9545	+	4.85900i	−1.47351	+	0.478772i	−0.541342	+	0.840803i	$0.682084\pi$
$104$	−2.75324	+	5.54859i	−0.269977	+	0.544084i
$105$	−9.95837	−	13.7065i	−0.971838	−	1.33762i
$106$	−3.02741	−	1.54254i	−0.294048	−	0.149825i
$107$	−5.85426	−	1.90216i	−0.565953	−	0.183889i	0.0120452	−	0.999927i	$-0.496166\pi$
$107$	−5.85426	−	1.90216i	−0.565953	−	0.183889i	−0.577998	+	0.816038i	$0.696166\pi$
$108$	1.05512	−	1.45225i	0.101529	−	0.139743i
$109$	2.84699	−	2.84699i	0.272692	−	0.272692i	−0.557491	−	0.830183i	$-0.688236\pi$
$109$	2.84699	−	2.84699i	0.272692	−	0.272692i	0.830183	+	0.557491i	$0.188236\pi$
$110$	1.13663	−	6.44890i	0.108373	−	0.614878i
$111$	3.42863	−	3.42863i	0.325431	−	0.325431i
$112$	−1.70903	−	10.7904i	−0.161488	−	1.01960i
$113$	−5.58440	+	17.1870i	−0.525336	+	1.61682i	0.238315	+	0.971188i	$0.423405\pi$
$113$	−5.58440	+	17.1870i	−0.525336	+	1.61682i	−0.763651	+	0.645629i	$0.776595\pi$
$114$	0.858800	−	0.279041i	0.0804340	−	0.0261346i
$115$	3.01893	−	19.0607i	0.281516	−	1.77742i
$116$	−5.64816	+	4.10363i	−0.524418	+	0.381012i
$117$	3.60535	−	0.0383329i	0.333314	−	0.00354388i
$118$	3.98577	+	1.29505i	0.366920	+	0.119219i
$119$	−1.48863	−	9.39886i	−0.136463	−	0.861593i
$120$		−	7.49296i		−	0.684011i
$121$	−10.3372	−	3.76070i	−0.939743	−	0.341882i
$122$	1.20247	+	1.20247i	0.108867	+	0.108867i
$123$	−5.09964	+	0.807703i	−0.459819	+	0.0728281i
$124$	−1.34365	−	2.63707i	−0.120664	−	0.236816i
$125$	35.0673	+	17.8677i	3.13652	+	1.59814i
$126$	1.42255	−	1.03355i	0.126731	−	0.0920755i
$127$	13.7402	−	9.98284i	1.21925	−	0.885833i	0.223208	−	0.974771i	$-0.428347\pi$
$127$	13.7402	−	9.98284i	1.21925	−	0.885833i	0.996037	+	0.0889375i	$0.0283471\pi$
$128$	4.99363	−	9.80055i	0.441379	−	0.866254i
$129$	−1.43891	+	4.42852i	−0.126689	+	0.389909i
$130$	5.71438	−	4.24529i	0.501184	−	0.372337i
$131$			3.89385i			0.340208i	0.985426	+	0.170104i	$0.0544103\pi$
$131$			3.89385i			0.340208i	−0.985426	+	0.170104i	$0.945590\pi$
$132$	−5.86325	−	1.03340i	−0.510331	−	0.0899463i
$133$	−7.74860			−0.671889
$134$	−3.12163	−	2.26800i	−0.269668	−	0.195925i
$135$	−3.88621	+	1.98012i	−0.334472	+	0.170422i
$136$	1.91067	−	3.74991i	0.163839	−	0.321552i
$137$	−0.171060	+	1.08003i	−0.0146146	+	0.0922732i	−0.993918	−	0.110127i	$-0.964874\pi$
$137$	−0.171060	+	1.08003i	−0.0146146	+	0.0922732i	0.979303	+	0.202400i	$0.0648742\pi$
$138$	1.97825	+	0.313324i	0.168400	+	0.0266719i
$139$	4.85025	−	1.57594i	0.411393	−	0.133670i	−0.0960064	−	0.995381i	$-0.530607\pi$
$139$	4.85025	−	1.57594i	0.411393	−	0.133670i	0.507399	+	0.861711i	$0.330607\pi$
$140$	−9.39804	+	28.9242i	−0.794279	+	2.44454i
$141$	−1.57158	+	0.248914i	−0.132351	+	0.0209624i
$142$	0.419687			0.0352193
$143$	−5.35692	−	10.6913i	−0.447968	−	0.894050i
$144$	−2.81250			−0.234375
$145$	16.7544	−	2.65364i	1.39138	−	0.220373i
$146$	2.08454	−	6.41557i	0.172518	−	0.530956i
$147$	−7.69270	+	2.49951i	−0.634483	+	0.206156i
$148$	−8.59688	−	1.36161i	−0.706659	−	0.111924i
$149$	−0.210561	+	1.32943i	−0.0172498	+	0.108911i	−0.994811	−	0.101741i	$-0.967559\pi$
$149$	−0.210561	+	1.32943i	−0.0172498	+	0.108911i	0.977561	+	0.210652i	$0.0675587\pi$
$150$	−2.88198	+	5.65620i	−0.235313	+	0.461827i
$151$	6.28125	−	3.20046i	0.511161	−	0.260449i	−0.179332	−	0.983789i	$-0.557394\pi$
$151$	6.28125	−	3.20046i	0.511161	−	0.260449i	0.690493	+	0.723339i	$0.257394\pi$
$152$	−2.77246	−	2.01431i	−0.224876	−	0.163382i
$153$	−2.44980			−0.198055
$154$	−5.14943	−	2.73751i	−0.414953	−	0.220595i
$155$			7.19119i			0.577610i
$156$	−3.85976	−	5.19544i	−0.309028	−	0.415968i
$157$	−3.54758	+	10.9183i	−0.283128	+	0.871378i	0.703826	+	0.710373i	$0.251474\pi$
$157$	−3.54758	+	10.9183i	−0.283128	+	0.871378i	−0.986954	+	0.161005i	$0.948526\pi$
$158$	1.25429	−	2.46169i	0.0997862	−	0.195841i
$159$	6.07241	−	4.41186i	0.481573	−	0.349883i
$160$	−16.6163	+	12.0725i	−1.31363	+	0.954412i
$161$	−15.3137	−	7.80271i	−1.20689	−	0.614940i
$162$	−0.205510	−	0.403336i	−0.0161464	−	0.0316891i
$163$	−7.45358	+	1.18053i	−0.583810	+	0.0924664i	−0.441351	−	0.897334i	$-0.645501\pi$
$163$	−7.45358	+	1.18053i	−0.583810	+	0.0924664i	−0.142458	+	0.989801i	$0.545501\pi$
$164$	6.55374	+	6.55374i	0.511761	+	0.511761i
$165$	11.5535	+	8.70487i	0.899441	+	0.677674i
$166$			4.43671i			0.344356i
$167$	−0.183926	−	1.16126i	−0.0142326	−	0.0898611i	0.979550	−	0.201203i	$-0.0644851\pi$
$167$	−0.183926	−	1.16126i	−0.0142326	−	0.0898611i	−0.993782	+	0.111342i	$0.964485\pi$
$168$	−6.34656	−	2.06212i	−0.489648	−	0.159096i
$169$	3.75343	−	12.4464i	0.288726	−	0.957412i
$170$	−3.91310	+	2.84303i	−0.300121	+	0.218051i
$171$	−0.312055	+	1.97024i	−0.0238635	+	0.150668i
$172$	7.94957	−	2.58297i	0.606149	−	0.196950i
$173$	−3.68027	+	11.3267i	−0.279806	+	0.861155i	0.708102	+	0.706111i	$0.249552\pi$
$173$	−3.68027	+	11.3267i	−0.279806	+	0.861155i	−0.987908	+	0.155044i	$0.950448\pi$
$174$	0.275412	+	1.73888i	0.0208789	+	0.131824i
$175$	38.5182	−	38.5182i	2.91171	−	2.91171i
$176$	4.08975	+	8.38366i	0.308276	+	0.631942i
$177$	−6.54642	+	6.54642i	−0.492059	+	0.492059i
$178$	4.23205	−	5.82491i	0.317205	−	0.436596i
$179$	5.93587	+	1.92868i	0.443667	+	0.144156i	0.522327	−	0.852745i	$-0.325064\pi$
$179$	5.93587	+	1.92868i	0.443667	+	0.144156i	−0.0786596	+	0.996902i	$0.525064\pi$
$180$	6.97608	+	3.55449i	0.519966	+	0.264936i
$181$	−12.6481	−	17.4086i	−0.940125	−	1.29397i	−0.955777	−	0.294094i	$-0.904982\pi$
$181$	−12.6481	−	17.4086i	−0.940125	−	1.29397i	0.0156516	−	0.999878i	$-0.495018\pi$
$182$	−2.02313	−	6.00843i	−0.149964	−	0.445375i
$183$	−3.57281	+	1.16088i	−0.264110	+	0.0858145i
$184$	−3.45088	−	6.77273i	−0.254402	−	0.499292i
$185$	17.1096	+	12.4308i	1.25792	+	0.913932i
$186$	−0.746349			−0.0547249
$187$	3.56234	+	7.30251i	0.260504	+	0.534013i
$188$	2.01970	+	2.01970i	0.147302	+	0.147302i
$189$	0.607654	+	3.83658i	0.0442003	+	0.279070i
$190$	1.78804	+	3.50923i	0.129718	+	0.254587i
$191$	−1.39616	−	4.29693i	−0.101022	−	0.310915i	0.887754	−	0.460318i	$-0.152265\pi$
$191$	−1.39616	−	4.29693i	−0.101022	−	0.310915i	−0.988776	+	0.149403i	$0.952265\pi$
$192$	2.05333	+	2.82617i	0.148187	+	0.203961i
$193$	−20.8389	−	3.30056i	−1.50002	−	0.237579i	−0.648220	−	0.761453i	$-0.724486\pi$
$193$	−20.8389	−	3.30056i	−1.50002	−	0.237579i	−0.851796	+	0.523874i	$0.824486\pi$
$194$	−1.39238	−	4.28529i	−0.0999667	−	0.307666i
$195$	2.62508	+	15.5053i	0.187986	+	1.11036i
$196$	11.7467	+	8.53446i	0.839048	+	0.609604i
$197$	2.55590	−	2.55590i	0.182100	−	0.182100i	−0.610170	−	0.792270i	$-0.708899\pi$
$197$	2.55590	−	2.55590i	0.182100	−	0.182100i	0.792270	+	0.610170i	$0.208899\pi$
$198$	−0.903449	+	1.19910i	−0.0642053	+	0.0852164i
$199$			20.6995i			1.46735i	0.679502	+	0.733674i	$0.262196\pi$
$199$			20.6995i			1.46735i	−0.679502	+	0.733674i	$0.737804\pi$
$200$	23.7950	−	3.76875i	1.68256	−	0.266491i
$201$	7.59483	−	3.86976i	0.535698	−	0.272952i
$202$	4.11822	+	2.09834i	0.289757	+	0.147639i
$203$	2.36331	−	14.9213i	0.165872	−	1.04727i
$204$	2.58485	+	3.55774i	0.180976	+	0.249092i
$205$	−6.95900	−	21.4176i	−0.486038	−	1.49587i
$206$	6.34209	−	3.23146i	0.441874	−	0.225146i
$207$	−2.60072	+	3.57958i	−0.180762	+	0.248798i
$208$	−3.03091	+	9.67707i	−0.210156	+	0.670984i
$209$	6.32677	−	1.93480i	0.437632	−	0.133833i
$210$	5.42302	+	5.42302i	0.374224	+	0.374224i
$211$	−4.74648	+	6.53297i	−0.326761	+	0.449748i	−0.940516	−	0.339748i	$-0.889658\pi$
$211$	−4.74648	+	6.53297i	−0.326761	+	0.449748i	0.613755	+	0.789496i	$0.289658\pi$
$212$	−12.8143	−	4.16362i	−0.880089	−	0.285958i
$213$	−0.420906	+	0.826075i	−0.0288400	+	0.0566017i
$214$	2.75215	+	0.435898i	0.188133	+	0.0297974i
$215$	−20.0594	−	3.17710i	−1.36804	−	0.216676i
$216$	−0.779929	+	1.53070i	−0.0530674	+	0.104151i
$217$	6.09096	+	1.97907i	0.413481	+	0.134348i
$218$	−1.07129	+	1.47450i	−0.0725568	+	0.0998658i
$219$	10.5372	+	10.5372i	0.712041	+	0.712041i
$220$	0.451282	−	25.9634i	0.0304254	−	1.75045i
$221$	−2.64005	+	8.42913i	−0.177589	+	0.567004i
$222$	−1.29015	+	1.77574i	−0.0865894	+	0.119180i
$223$	6.48628	−	3.30492i	0.434353	−	0.221314i	−0.223121	−	0.974791i	$-0.571625\pi$
$223$	6.48628	−	3.30492i	0.434353	−	0.221314i	0.657475	+	0.753477i	$0.271625\pi$
$224$	5.65247	+	17.3965i	0.377671	+	1.16235i
$225$	−8.24282	−	11.3453i	−0.549522	−	0.756352i
$226$	1.27971	−	8.07980i	0.0851253	−	0.537460i
$227$	21.2193	+	10.8118i	1.40837	+	0.717603i	0.982340	−	0.187104i	$-0.0599102\pi$
$227$	21.2193	+	10.8118i	1.40837	+	0.717603i	0.426034	+	0.904707i	$0.359910\pi$
$228$	3.19055	−	1.62567i	0.211299	−	0.107662i
$229$	6.75272	−	1.06953i	0.446233	−	0.0706763i	0.0707255	−	0.997496i	$-0.477469\pi$
$229$	6.75272	−	1.06953i	0.446233	−	0.0706763i	0.375507	+	0.926820i	$0.377469\pi$
$230$			8.73588i			0.576027i
$231$	10.5527	−	7.39022i	0.694315	−	0.486241i
$232$	4.72451	−	4.72451i	0.310180	−	0.310180i
$233$	−23.0987	−	16.7822i	−1.51325	−	1.09944i	−0.964711	−	0.263312i	$-0.915185\pi$
$233$	−23.0987	−	16.7822i	−1.51325	−	1.09944i	−0.548536	−	0.836127i	$-0.684815\pi$
$234$	−1.60924	+	0.272448i	−0.105200	+	0.0178105i
$235$	−2.14459	−	6.60038i	−0.139898	−	0.430561i
$236$	16.4144	+	2.59978i	1.06848	+	0.169231i
$237$	3.58744	+	4.93768i	0.233029	+	0.320737i
$238$	1.33114	+	4.09683i	0.0862851	+	0.265558i
$239$	−8.57107	−	16.8217i	−0.554416	−	1.08810i	−0.982829	−	0.184520i	$-0.940927\pi$
$239$	−8.57107	−	16.8217i	−0.554416	−	1.08810i	0.428413	−	0.903583i	$-0.359073\pi$
$240$	−1.91898	−	12.1160i	−0.123870	−	0.782083i
$241$	13.0249	+	13.0249i	0.839007	+	0.839007i	0.988728	−	0.149721i	$-0.0478375\pi$
$241$	13.0249	+	13.0249i	0.839007	+	0.839007i	−0.149721	+	0.988728i	$0.547838\pi$
$242$	4.88808	+	0.949400i	0.314218	+	0.0610297i
$243$	1.00000			0.0641500
$244$	5.45565	+	3.96376i	0.349262	+	0.253754i
$245$	−16.0164	−	31.4339i	−1.02325	−	2.00824i
$246$	2.22286	−	0.722251i	0.141724	−	0.0460490i
$247$	6.44279	+	3.19694i	0.409945	+	0.203417i
$248$	1.66488	+	2.29151i	0.105720	+	0.145511i
$249$	−8.73284	−	4.44961i	−0.553421	−	0.281982i
$250$	−16.9440	−	5.50543i	−1.07163	−	0.348194i
$251$	7.21058	−	9.92451i	0.455128	−	0.626430i	−0.518362	−	0.855162i	$-0.673458\pi$
$251$	7.21058	−	9.92451i	0.455128	−	0.626430i	0.973489	+	0.228732i	$0.0734579\pi$
$252$	4.93054	−	4.93054i	0.310595	−	0.310595i
$253$	14.4520	+	2.54718i	0.908589	+	0.160140i
$254$	−5.43634	+	5.43634i	−0.341106	+	0.341106i
$255$	−1.67151	−	10.5535i	−0.104674	−	0.660886i
$256$	0.620359	−	1.90927i	0.0387725	−	0.119329i
$257$	9.55961	−	3.10611i	0.596312	−	0.193754i	0.00471714	−	0.999989i	$-0.498498\pi$
$257$	9.55961	−	3.10611i	0.596312	−	0.193754i	0.591595	+	0.806235i	$0.298498\pi$
$258$	0.329740	−	2.08190i	0.0205287	−	0.129613i
$259$	15.2376	−	11.0708i	0.946821	−	0.687905i
$260$	19.7479	−	20.1723i	1.22471	−	1.25103i
$261$	−3.69888	−	1.20184i	−0.228955	−	0.0743920i
$262$	−0.275739	−	1.74095i	−0.0170352	−	0.107556i
$263$		−	8.86371i		−	0.546560i	−0.961935	−	0.273280i	$-0.911892\pi$
$263$		−	8.86371i		−	0.546560i	0.961935	−	0.273280i	$-0.0881085\pi$
$264$	5.69690	+	0.0990205i	0.350620	+	0.00609429i
$265$	23.1491	+	23.1491i	1.42204	+	1.42204i
$266$	3.46442	−	0.548709i	0.212417	−	0.0336435i
$267$	7.22091	+	14.1718i	0.441913	+	0.867302i
$268$	−13.6334	−	6.94655i	−0.832790	−	0.424328i
$269$	18.1965	−	13.2205i	1.10946	−	0.806070i	0.126882	−	0.991918i	$-0.459503\pi$
$269$	18.1965	−	13.2205i	1.10946	−	0.806070i	0.982579	+	0.185847i	$0.0595030\pi$
$270$	1.59731	−	1.16052i	0.0972093	−	0.0706267i
$271$	−12.9846	+	25.4837i	−0.788758	+	1.54802i	0.0469806	+	0.998896i	$0.485040\pi$
$271$	−12.9846	+	25.4837i	−0.788758	+	1.54802i	−0.835738	+	0.549128i	$0.814960\pi$
$272$	2.12915	−	6.55285i	0.129099	−	0.397325i
$273$	13.8555	+	2.04374i	0.838573	+	0.123693i
$274$		−	0.494997i		−	0.0299039i
$275$	−21.8325	+	41.0682i	−1.31655	+	2.47650i
$276$	7.94254			0.478085
$277$	−7.06487	−	5.13293i	−0.424487	−	0.308408i	0.354954	−	0.934884i	$-0.384497\pi$
$277$	−7.06487	−	5.13293i	−0.424487	−	0.308408i	−0.779441	+	0.626476i	$0.784497\pi$
$278$	−2.05696	+	1.04807i	−0.123368	+	0.0628592i
$279$	0.748517	−	1.46905i	0.0448126	−	0.0879496i
$280$	4.55313	−	28.7473i	0.272102	−	1.71798i
$281$	9.87833	+	1.56457i	0.589292	+	0.0933346i	0.443957	−	0.896048i	$-0.353574\pi$
$281$	9.87833	+	1.56457i	0.589292	+	0.0933346i	0.145334	+	0.989383i	$0.453574\pi$
$282$	0.685031	−	0.222580i	0.0407930	−	0.0132544i
$283$	−9.41426	+	28.9741i	−0.559620	+	1.72233i	0.123800	+	0.992307i	$0.460492\pi$
$283$	−9.41426	+	28.9741i	−0.559620	+	1.72233i	−0.683420	+	0.730026i	$0.739508\pi$
$284$	1.64378	−	0.260349i	0.0975404	−	0.0154489i
$285$	−8.70051			−0.515374
$286$	3.15218	+	4.40075i	0.186392	+	0.260222i
$287$	−20.0560			−1.18387
$288$	4.65105	−	0.736655i	0.274066	−	0.0434078i
$289$	−3.39871	+	10.4602i	−0.199924	+	0.615303i
$290$	−7.30302	+	2.37289i	−0.428848	+	0.139341i
$291$	9.83122	+	1.55711i	0.576316	+	0.0912795i
$292$	4.18466	−	26.4209i	0.244888	−	1.54616i
$293$	7.52026	−	14.7594i	0.439339	−	0.862250i	−0.560089	−	0.828432i	$-0.689233\pi$
$293$	7.52026	−	14.7594i	0.439339	−	0.862250i	0.999428	−	0.0338183i	$-0.0107668\pi$
$294$	3.26242	−	1.66229i	0.190268	−	0.0969464i
$295$	−32.6680	−	23.7347i	−1.90200	−	1.38189i
$296$	8.32998			0.484170
$297$	−1.45413	−	2.98086i	−0.0843773	−	0.172967i
$298$		−	0.609300i		−	0.0352958i
$299$	9.51370	+	12.8059i	0.550192	+	0.740586i
$300$	−7.77902	+	23.9414i	−0.449122	+	1.38225i
$301$	−8.21151	+	16.1160i	−0.473304	+	0.928911i
$302$	−2.58172	+	1.87573i	−0.148561	+	0.107936i
$303$	−8.26038	+	6.00152i	−0.474546	+	0.344778i
$304$	−4.99888	−	2.54706i	−0.286706	−	0.146084i
$305$	−7.43868	−	14.5992i	−0.425938	−	0.835950i
$306$	1.09531	−	0.173480i	0.0626148	−	0.00991721i
$307$	−3.32603	−	3.32603i	−0.189827	−	0.189827i	0.605794	−	0.795621i	$-0.292855\pi$
$307$	−3.32603	−	3.32603i	−0.189827	−	0.189827i	−0.795621	+	0.605794i	$0.792855\pi$
$308$	−21.8669	−	7.52757i	−1.24598	−	0.428923i
$309$			15.7241i			0.894511i
$310$	−0.509237	−	3.21519i	−0.0289227	−	0.182611i
$311$	3.68152	+	1.19620i	0.208760	+	0.0678301i	0.411530	−	0.911396i	$-0.364995\pi$
$311$	3.68152	+	1.19620i	0.208760	+	0.0678301i	−0.202770	+	0.979226i	$0.564995\pi$
$312$	4.42622	+	4.33309i	0.250586	+	0.245313i
$313$	6.21484	−	4.51534i	0.351283	−	0.255222i	−0.398124	−	0.917332i	$-0.630339\pi$
$313$	6.21484	−	4.51534i	0.351283	−	0.255222i	0.749407	+	0.662109i	$0.230339\pi$
$314$	0.812960	−	5.13283i	0.0458780	−	0.289662i
$315$	−16.1130	+	5.23543i	−0.907864	+	0.294983i
$316$	3.38558	−	10.4197i	0.190454	−	0.586156i
$317$	−0.509518	−	3.21697i	−0.0286174	−	0.180683i	0.969239	−	0.246120i	$-0.0791558\pi$
$317$	−0.509518	−	3.21697i	−0.0286174	−	0.180683i	−0.997857	+	0.0654371i	$0.979156\pi$
$318$	−2.40256	+	2.40256i	−0.134729	+	0.134729i
$319$	1.79615	+	12.7735i	0.100565	+	0.715176i
$320$	−10.7739	+	10.7739i	−0.602278	+	0.602278i
$321$	−3.61813	+	4.97993i	−0.201944	+	0.277953i
$322$	7.39932	+	2.40418i	0.412348	+	0.133980i
$323$	−4.35423	−	2.21859i	−0.242276	−	0.123446i
$324$	−1.05512	−	1.45225i	−0.0586180	−	0.0806808i
$325$	−47.9190	+	16.1351i	−2.65807	+	0.895012i
$326$	3.24891	−	1.05564i	0.179941	−	0.0584663i
$327$	−1.82788	−	3.58742i	−0.101082	−	0.198385i
$328$	−7.17604	−	5.21370i	−0.396231	−	0.287878i
$329$	−6.18075			−0.340756
$330$	−5.78203	−	3.07381i	−0.318290	−	0.169208i
$331$	−5.91085	−	5.91085i	−0.324890	−	0.324890i	0.525750	−	0.850639i	$-0.323785\pi$
$331$	−5.91085	−	5.91085i	−0.324890	−	0.324890i	−0.850639	+	0.525750i	$0.823785\pi$
$332$	2.75228	+	17.3772i	0.151051	+	0.953698i
$333$	−2.20132	−	4.32033i	−0.120631	−	0.236752i
$334$	0.164467	+	0.506178i	0.00899924	+	0.0276968i
$335$	21.8525	+	30.0774i	1.19393	+	1.64330i
$336$	−10.7904	−	1.70903i	−0.588664	−	0.0932352i
$337$	8.73572	+	26.8858i	0.475865	+	1.46456i	0.844788	+	0.535101i	$0.179727\pi$
$337$	8.73572	+	26.8858i	0.475865	+	1.46456i	−0.368923	+	0.929460i	$0.620273\pi$
$338$	−0.796792	+	5.83058i	−0.0433398	+	0.317142i
$339$	14.6201	+	10.6222i	0.794057	+	0.576916i
$340$	−13.5627	+	13.5627i	−0.735542	+	0.735542i
$341$	−5.46746	−	0.0950325i	−0.296080	−	0.00514630i
$342$		−	0.902996i		−	0.0488284i
$343$	−4.17642	+	0.661479i	−0.225505	+	0.0357165i
$344$	−7.12757	+	3.63168i	−0.384293	+	0.195807i
$345$	−17.1949	−	8.76126i	−0.925745	−	0.471691i
$346$	0.843368	−	5.32481i	0.0453397	−	0.286264i
$347$	1.96156	+	2.69985i	0.105302	+	0.144936i	0.858416	−	0.512955i	$-0.171449\pi$
$347$	1.96156	+	2.69985i	0.105302	+	0.144936i	−0.753114	+	0.657890i	$0.771449\pi$
$348$	2.15740	+	6.63981i	0.115649	+	0.355931i
$349$	−16.0439	+	8.17476i	−0.858808	+	0.437585i	−0.827195	−	0.561915i	$-0.810065\pi$
$349$	−16.0439	+	8.17476i	−0.858808	+	0.437585i	−0.0316137	+	0.999500i	$0.510065\pi$
$350$	−14.4939	+	19.9492i	−0.774734	+	1.06633i
$351$	1.07766	−	3.44073i	0.0575211	−	0.183653i
$352$	−8.95911	−	12.7929i	−0.477522	−	0.681865i
$353$	−23.8900	−	23.8900i	−1.27154	−	1.27154i	−0.945283	−	0.326253i	$-0.894214\pi$
$353$	−23.8900	−	23.8900i	−1.27154	−	1.27154i	−0.326253	−	0.945283i	$-0.605786\pi$
$354$	2.46334	−	3.39050i	0.130925	−	0.180203i
$355$	−3.84583	−	1.24959i	−0.204116	−	0.0663212i
$356$	12.9622	−	25.4397i	0.686993	−	1.34830i
$357$	−9.39886	−	1.48863i	−0.497441	−	0.0787869i
$358$	−2.79051	−	0.441974i	−0.147483	−	0.0233591i
$359$	3.48831	−	6.84620i	0.184106	−	0.361329i	−0.780445	−	0.625224i	$-0.785007\pi$
$359$	3.48831	−	6.84620i	0.184106	−	0.361329i	0.964551	+	0.263896i	$0.0850075\pi$
$360$	−7.12623	−	2.31545i	−0.375585	−	0.122035i
$361$	8.82899	−	12.1521i	0.464684	−	0.639582i
$362$	6.88776	+	6.88776i	0.362012	+	0.362012i
$363$	−6.77100	+	8.66911i	−0.355385	+	0.455011i
$364$	−11.6512	−	22.2781i	−0.610691	−	1.16769i
$365$	−38.2038	+	52.5830i	−1.99968	+	2.75232i
$366$	1.51520	−	0.772035i	0.0792010	−	0.0403549i
$367$	−3.14014	−	9.66437i	−0.163914	−	0.504476i	0.835040	−	0.550189i	$-0.185444\pi$
$367$	−3.14014	−	9.66437i	−0.163914	−	0.504476i	−0.998955	+	0.0457126i	$0.985444\pi$
$368$	−7.31452	−	10.0676i	−0.381296	−	0.524809i
$369$	−0.807703	+	5.09964i	−0.0420473	+	0.265476i
$370$	−8.53000	−	4.34625i	−0.443453	−	0.225951i
$371$	25.9781	−	13.2365i	1.34872	−	0.687206i
$372$	−2.92321	+	0.462991i	−0.151561	+	0.0240050i
$373$			5.72895i			0.296634i	0.988940	+	0.148317i	$0.0473855\pi$
$373$			5.72895i			0.296634i	−0.988940	+	0.148317i	$0.952614\pi$
$374$	−2.10985	−	3.01270i	−0.109098	−	0.155783i
$375$	27.8296	−	27.8296i	1.43711	−	1.43711i
$376$	−2.21148	−	1.60673i	−0.114048	−	0.0828610i
$377$	−8.12133	+	11.4317i	−0.418270	+	0.588762i
$378$	−0.543367	−	1.67231i	−0.0279478	−	0.0860144i
$379$	7.43745	+	1.17798i	0.382036	+	0.0605086i	0.344499	−	0.938787i	$-0.388049\pi$
$379$	7.43745	+	1.17798i	0.382036	+	0.0605086i	0.0375370	+	0.999295i	$0.488049\pi$
$380$	9.18012	+	12.6354i	0.470930	+	0.648180i
$381$	−5.24829	−	16.1526i	−0.268878	−	0.827521i
$382$	0.928507	+	1.82230i	0.0475066	+	0.0932369i
$383$	3.06127	+	19.3281i	0.156424	+	0.987621i	0.933595	+	0.358331i	$0.116654\pi$
$383$	3.06127	+	19.3281i	0.156424	+	0.987621i	−0.777171	+	0.629290i	$0.783346\pi$
$384$	−7.77776	−	7.77776i	−0.396907	−	0.396907i
$385$	39.0365	+	40.4175i	1.98948	+	2.05987i
$386$	9.55083			0.486125
$387$	3.76712	+	2.73698i	0.191494	+	0.139128i
$388$	−8.11184	−	15.9204i	−0.411816	−	0.808235i
$389$	27.1661	−	8.82680i	1.37738	−	0.447537i	0.475570	−	0.879678i	$-0.342242\pi$
$389$	27.1661	−	8.82680i	1.37738	−	0.447537i	0.901806	+	0.432141i	$0.142242\pi$
$390$	−2.27167	−	6.74656i	−0.115031	−	0.341626i
$391$	−6.37125	−	8.76927i	−0.322208	−	0.443481i
$392$	−12.3812	−	6.30851i	−0.625343	−	0.318628i
$393$	3.70328	+	1.20327i	0.186806	+	0.0606968i
$394$	−0.961752	+	1.32374i	−0.0484524	+	0.0666890i
$395$	−18.8233	+	18.8233i	−0.947104	+	0.947104i
$396$	−2.79467	+	5.25694i	−0.140437	+	0.264171i
$397$	10.4037	−	10.4037i	0.522147	−	0.522147i	−0.396072	−	0.918219i	$-0.629627\pi$
$397$	10.4037	−	10.4037i	0.522147	−	0.522147i	0.918219	+	0.396072i	$0.129627\pi$
$398$	−1.46581	−	9.25478i	−0.0734746	−	0.463900i
$399$	−2.39445	+	7.36936i	−0.119872	+	0.368929i
$400$	37.5108	−	12.1880i	1.87554	−	0.609400i
$401$	−0.982051	+	6.20043i	−0.0490413	+	0.309634i	0.950959	+	0.309318i	$0.100101\pi$
$401$	−0.982051	+	6.20043i	−0.0490413	+	0.309634i	−1.00000		0.000316501i	$0.999899\pi$
$402$	−3.12163	+	2.26800i	−0.155693	+	0.113117i
$403$	−4.24796	−	4.15858i	−0.211606	−	0.207154i
$404$	17.4315	+	5.66382i	0.867247	+	0.281786i
$405$	0.682304	+	4.30790i	0.0339040	+	0.214061i
$406$			6.83872i			0.339400i
$407$	−9.67727	+	12.8441i	−0.479684	+	0.636660i
$408$	−2.97594	−	2.97594i	−0.147331	−	0.147331i
$409$	−1.79951	+	0.285014i	−0.0889800	+	0.0140930i	−0.200766	−	0.979639i	$-0.564343\pi$
$409$	−1.79951	+	0.285014i	−0.0889800	+	0.0140930i	0.111786	+	0.993732i	$0.464343\pi$
$410$	4.62805	+	9.08306i	0.228563	+	0.448580i
$411$	0.974309	+	0.496435i	0.0480591	+	0.0244873i
$412$	22.8353	−	16.5908i	1.12502	−	0.817372i
$413$	−29.0938	+	21.1379i	−1.43161	+	1.04013i
$414$	0.909301	−	1.78460i	0.0446897	−	0.0877085i
$415$	13.2100	−	40.6562i	0.648453	−	1.99573i
$416$	2.47761	−	16.7969i	0.121475	−	0.823536i
$417$		−	5.09986i		−	0.249741i
$418$	−2.69170	+	1.31308i	−0.131655	+	0.0642246i
$419$	−6.11129			−0.298556			−0.149278	−	0.988795i	$-0.547695\pi$
$419$	−6.11129			−0.298556			−0.149278	+	0.988795i	$0.547695\pi$
$420$	24.6044	+	17.8761i	1.20057	+	0.872266i
$421$	6.27145	−	3.19546i	0.305652	−	0.155737i	−0.294437	−	0.955671i	$-0.595132\pi$
$421$	6.27145	−	3.19546i	0.305652	−	0.155737i	0.600088	+	0.799934i	$0.295132\pi$
$422$	1.65953	−	3.25702i	0.0807849	−	0.158549i
$423$	−0.248914	+	1.57158i	−0.0121026	+	0.0764130i
$424$	12.7359	+	2.01718i	0.618512	+	0.0979627i
$425$	32.6734	−	10.6162i	1.58489	−	0.514964i
$426$	0.129690	−	0.399146i	0.00628352	−	0.0193387i
$427$	−14.4128	+	2.28276i	−0.697483	+	0.110470i
$428$	11.0497			0.534108
$429$	−11.8234	+	1.79094i	−0.570839	+	0.0864675i
$430$	9.19358			0.443354
$431$	23.9079	−	3.78664i	1.15160	−	0.182396i	0.448701	−	0.893682i	$-0.351887\pi$
$431$	23.9079	−	3.78664i	1.15160	−	0.182396i	0.702903	+	0.711286i	$0.251887\pi$
$432$	−0.869111	+	2.67485i	−0.0418151	+	0.128694i
$433$	8.05794	−	2.61818i	0.387240	−	0.125822i	−0.108925	−	0.994050i	$-0.534741\pi$
$433$	8.05794	−	2.61818i	0.387240	−	0.125822i	0.496165	+	0.868228i	$0.334741\pi$
$434$	−2.86342	−	0.453522i	−0.137449	−	0.0217697i
$435$	2.65364	−	16.7544i	0.127232	−	0.803313i
$436$	−3.28120	+	6.43972i	−0.157141	+	0.308407i
$437$	−7.86420	+	4.00701i	−0.376196	+	0.191681i
$438$	−5.45741	−	3.96504i	−0.260765	−	0.189457i
$439$	−31.3410			−1.49582			−0.747912	−	0.663798i	$-0.768943\pi$
$439$	−31.3410			−1.49582			−0.747912	+	0.663798i	$0.768943\pi$
$440$	3.46045	+	24.6092i	0.164971	+	1.17320i
$441$			8.08858i			0.385170i
$442$	0.583471	−	3.95563i	0.0277529	−	0.188150i
$443$	9.58884	−	29.5114i	0.455580	−	1.40213i	−0.414874	−	0.909879i	$-0.636174\pi$
$443$	9.58884	−	29.5114i	0.455580	−	1.40213i	0.870453	−	0.492251i	$-0.163826\pi$
$444$	−3.95155	+	7.75536i	−0.187532	+	0.368053i
$445$	−56.1240	+	40.7765i	−2.66053	+	1.93299i
$446$	−2.66599	+	1.93696i	−0.126238	+	0.0917176i
$447$	1.19929	+	0.611071i	0.0567246	+	0.0289027i
$448$	6.16044	+	12.0906i	0.291054	+	0.571225i
$449$	−13.7508	+	2.17791i	−0.648939	+	0.102782i	−0.472221	−	0.881480i	$-0.656548\pi$
$449$	−13.7508	+	2.17791i	−0.648939	+	0.102782i	−0.176717	+	0.984262i	$0.556548\pi$
$450$	4.48879	+	4.48879i	0.211603	+	0.211603i
$451$	16.3758	−	5.00790i	0.771105	−	0.235813i
$452$		−	32.4399i		−	1.52584i
$453$	−1.10280	−	6.96282i	−0.0518142	−	0.327142i
$454$	−10.2528	−	3.33134i	−0.481188	−	0.156348i
$455$	0.649443	+	61.0825i	0.0304464	+	2.86359i
$456$	−2.77246	+	2.01431i	−0.129832	+	0.0943287i
$457$	4.26227	−	26.9109i	0.199380	−	1.25884i	−0.661466	−	0.749975i	$-0.730066\pi$
$457$	4.26227	−	26.9109i	0.199380	−	1.25884i	0.860847	−	0.508864i	$-0.169934\pi$
$458$	−2.94342	+	0.956375i	−0.137537	+	0.0446885i
$459$	−0.757031	+	2.32990i	−0.0353352	+	0.108751i
$460$	5.41923	+	34.2157i	0.252673	+	1.59531i
$461$	11.4794	−	11.4794i	0.534649	−	0.534649i	−0.387304	−	0.921952i	$-0.626593\pi$
$461$	11.4794	−	11.4794i	0.534649	−	0.534649i	0.921952	+	0.387304i	$0.126593\pi$
$462$	−4.19479	+	4.05146i	−0.195159	+	0.188491i
$463$	14.1512	−	14.1512i	0.657664	−	0.657664i	−0.297163	−	0.954827i	$-0.596040\pi$
$463$	14.1512	−	14.1512i	0.657664	−	0.657664i	0.954827	+	0.297163i	$0.0960404\pi$
$464$	6.42947	−	8.84941i	0.298481	−	0.410824i
$465$	6.83923	+	2.22220i	0.317161	+	0.103052i
$466$	11.5159	+	5.86764i	0.533464	+	0.271813i
$467$	−8.13640	−	11.1988i	−0.376508	−	0.518218i	0.578147	−	0.815932i	$-0.303776\pi$
$467$	−8.13640	−	11.1988i	−0.376508	−	0.518218i	−0.954655	+	0.297714i	$0.903776\pi$
$468$	−6.13388	+	2.06537i	−0.283539	+	0.0954719i
$469$	31.4896	−	10.2316i	1.45406	−	0.472451i
$470$	1.42625	+	2.79918i	0.0657881	+	0.129116i
$471$	9.28769	+	6.74791i	0.427954	+	0.310927i
$472$	−15.9048			−0.732076
$473$	2.68063	−	15.2092i	0.123256	−	0.699319i
$474$	−1.95361	−	1.95361i	−0.0897321	−	0.0897321i
$475$	−4.37612	−	27.6297i	−0.200790	−	1.26774i
$476$	7.75510	+	15.2202i	0.355454	+	0.697618i
$477$	−2.31945	−	7.13854i	−0.106200	−	0.326851i
$478$	5.02335	+	6.91405i	0.229763	+	0.316241i
$479$	29.6022	+	4.68852i	1.35256	+	0.214224i	0.790291	−	0.612732i	$-0.209930\pi$
$479$	29.6022	+	4.68852i	1.35256	+	0.214224i	0.562266	+	0.826956i	$0.309930\pi$
$480$	6.34687	+	19.5336i	0.289694	+	0.891585i
$481$	−17.2374	+	2.91832i	−0.785956	+	0.133064i
$482$	−6.74580	−	4.90111i	−0.307263	−	0.223240i
$483$	−12.1530	+	12.1530i	−0.552981	+	0.552981i
$484$	19.7340	+	0.686219i	0.897000	+	0.0311918i
$485$			43.4143i			1.97134i
$486$	−0.447102	+	0.0708140i	−0.0202810	+	0.00321219i
$487$	−14.0172	+	7.14212i	−0.635180	+	0.323641i	−0.741762	−	0.670663i	$-0.766010\pi$
$487$	−14.0172	+	7.14212i	−0.635180	+	0.323641i	0.106581	+	0.994304i	$0.466010\pi$
$488$	−5.75033	−	2.92994i	−0.260305	−	0.132632i
$489$	−1.18053	+	7.45358i	−0.0533855	+	0.337063i
$490$	9.38692	+	12.9200i	0.424058	+	0.583665i
$491$	−6.33569	−	19.4993i	−0.285926	−	0.879989i	−0.986120	−	0.166036i	$-0.946903\pi$
$491$	−6.33569	−	19.4993i	−0.285926	−	0.879989i	0.700194	−	0.713953i	$-0.253097\pi$
$492$	8.25820	−	4.20776i	0.372308	−	0.189700i
$493$	5.60033	−	7.70820i	0.252226	−	0.347160i
$494$	−3.10697	−	0.973120i	−0.139789	−	0.0437827i
$495$	11.8491	−	8.29810i	0.532576	−	0.372972i
$496$	3.27894	+	3.27894i	0.147229	+	0.147229i
$497$	−2.11681	+	2.91354i	−0.0949518	+	0.130690i
$498$	4.21957	+	1.37102i	0.189083	+	0.0614369i
$499$	6.41906	−	12.5981i	0.287357	−	0.563969i	−0.701530	−	0.712640i	$-0.747499\pi$
$499$	6.41906	−	12.5981i	0.287357	−	0.563969i	0.988887	+	0.148671i	$0.0474994\pi$
$500$	−69.7793	−	11.0520i	−3.12063	−	0.494259i
$501$	−1.16126	−	0.183926i	−0.0518813	−	0.00821720i
$502$	−2.52107	+	4.94788i	−0.112521	+	0.220835i
$503$	−21.9977	−	7.14749i	−0.980829	−	0.318691i	−0.225649	−	0.974209i	$-0.572450\pi$
$503$	−21.9977	−	7.14749i	−0.980829	−	0.318691i	−0.755180	+	0.655518i	$0.772450\pi$
$504$	−3.92239	+	5.39871i	−0.174717	+	0.240478i
$505$	−31.4900	−	31.4900i	−1.40129	−	1.40129i
$506$	−6.64189	−	0.115446i	−0.295268	−	0.00513219i
$507$	−10.6773	−	7.41586i	−0.474196	−	0.329350i
$508$	−17.9200	+	24.6648i	−0.795073	+	1.09432i
$509$	24.2545	−	12.3583i	1.07506	−	0.547771i	0.175462	−	0.984486i	$-0.443858\pi$
$509$	24.2545	−	12.3583i	1.07506	−	0.547771i	0.899600	+	0.436715i	$0.143858\pi$
$510$	1.49467	+	4.60013i	0.0661852	+	0.203697i
$511$	34.0240	+	46.8300i	1.50513	+	2.07164i
$512$	−3.58353	+	22.6255i	−0.158371	+	0.999917i
$513$	1.77738	+	0.905620i	0.0784732	+	0.0399841i
$514$	−4.05416	+	2.06570i	−0.178822	+	0.0911141i
$515$	−67.7377	+	10.7286i	−2.98488	+	0.472758i
$516$		−	8.35867i		−	0.367970i
$517$	5.04661	−	1.54331i	0.221950	−	0.0678747i
$518$	−6.02881	+	6.02881i	−0.264891	+	0.264891i
$519$	9.63508	+	7.00030i	0.422933	+	0.307279i
$520$	−15.6465	+	22.0242i	−0.686144	+	0.965826i
$521$	−5.20231	−	16.0111i	−0.227917	−	0.701457i	−0.997982	−	0.0634919i	$-0.979776\pi$
$521$	−5.20231	−	16.0111i	−0.227917	−	0.701457i	0.770065	−	0.637965i	$-0.220224\pi$
$522$	1.73888	+	0.275412i	0.0761089	+	0.0120545i
$523$	−9.68339	−	13.3280i	−0.423425	−	0.582794i	0.543003	−	0.839730i	$-0.317287\pi$
$523$	−9.68339	−	13.3280i	−0.423425	−	0.582794i	−0.966428	+	0.256936i	$0.917287\pi$
$524$	−2.15997	−	6.64770i	−0.0943586	−	0.290406i
$525$	−24.7302	−	48.5358i	−1.07932	−	2.11828i
$526$	0.627675	+	3.96298i	0.0273679	+	0.172794i
$527$	2.85609	+	2.85609i	0.124413	+	0.124413i
$528$	9.23714	−	1.29889i	0.401995	−	0.0565268i
$529$	3.42288			0.148821
$530$	−11.9893	−	8.71072i	−0.520781	−	0.378369i
$531$	4.20306	+	8.24898i	0.182397	+	0.357975i
$532$	13.2286	−	4.29824i	0.573534	−	0.186352i
$533$	16.6761	+	8.27475i	0.722321	+	0.358419i
$534$	−4.23205	−	5.82491i	−0.183139	−	0.252069i
$535$	−23.9217	−	12.1887i	−1.03423	−	0.526964i
$536$	13.9268	+	4.52509i	0.601546	+	0.195454i
$537$	3.66857	−	5.04935i	0.158310	−	0.217896i
$538$	−7.19950	+	7.19950i	−0.310392	+	0.310392i
$539$	24.1109	−	11.7619i	1.03853	−	0.506619i
$540$	5.53625	−	5.53625i	0.238242	−	0.238242i
$541$	−0.0302628	−	0.191072i	−0.00130110	−	0.00821481i	0.987029	−	0.160541i	$-0.0513237\pi$
$541$	−0.0302628	−	0.191072i	−0.00130110	−	0.00821481i	−0.988330	+	0.152326i	$0.951324\pi$
$542$	4.00083	−	12.3133i	0.171850	−	0.528901i
$543$	−20.4650	+	6.64949i	−0.878239	+	0.285357i
$544$	−1.80466	+	11.3942i	−0.0773741	+	0.488521i
$545$	14.2071	−	10.3220i	0.608563	−	0.442147i
$546$	−6.33954	+	0.0674035i	−0.271307	+	0.00288460i
$547$	1.21697	+	0.395417i	0.0520339	+	0.0169068i	0.334918	−	0.942247i	$-0.391291\pi$
$547$	1.21697	+	0.395417i	0.0520339	+	0.0169068i	−0.282884	+	0.959154i	$0.591291\pi$
$548$	−0.307067	−	1.93875i	−0.0131173	−	0.0828191i
$549$			3.75668i			0.160331i
$550$	6.85314	−	19.9077i	0.292219	−	0.848868i
$551$	−5.48590	−	5.48590i	−0.233707	−	0.233707i
$552$	−7.50762	+	1.18909i	−0.319546	+	0.0506111i
$553$	10.7631	+	21.1237i	0.457693	+	0.898272i
$554$	3.52220	+	1.79465i	0.149644	+	0.0762474i
$555$	17.1096	−	12.4308i	0.726261	−	0.527659i
$556$	−7.40629	+	5.38098i	−0.314097	+	0.228205i
$557$	11.0888	−	21.7630i	0.469848	−	0.922129i	−0.527514	−	0.849546i	$-0.676876\pi$
$557$	11.0888	−	21.7630i	0.469848	−	0.922129i	0.997362	−	0.0725829i	$-0.0231242\pi$
$558$	−0.230634	+	0.709820i	−0.00976353	+	0.0300491i
$559$	13.4769	−	10.0122i	0.570011	−	0.423469i
$560$		−	47.6500i		−	2.01358i
$561$	8.04592	−	1.13138i	0.339699	−	0.0477671i
$562$	−4.52741			−0.190977
$563$	−17.4523	−	12.6798i	−0.735526	−	0.534391i	0.155781	−	0.987792i	$-0.450211\pi$
$563$	−17.4523	−	12.6798i	−0.735526	−	0.534391i	−0.891307	+	0.453401i	$0.850211\pi$
$564$	2.54497	−	1.29673i	0.107163	−	0.0546021i
$565$	−35.7838	+	70.2296i	−1.50543	+	2.95458i
$566$	2.15736	−	13.6210i	0.0906807	−	0.572535i
$567$	3.83658	+	0.607654i	0.161121	+	0.0255191i
$568$	−1.51479	+	0.492186i	−0.0635593	+	0.0206517i
$569$	−0.911263	+	2.80458i	−0.0382021	+	0.117574i	−0.968339	−	0.249639i	$-0.919688\pi$
$569$	−0.911263	+	2.80458i	−0.0382021	+	0.117574i	0.930137	+	0.367213i	$0.119688\pi$
$570$	3.89002	−	0.616118i	0.162935	−	0.0258063i
$571$	−11.9803			−0.501361			−0.250681	−	0.968070i	$-0.580654\pi$
$571$	−11.9803			−0.501361			−0.250681	+	0.968070i	$0.580654\pi$
$572$	15.0761	+	15.2809i	0.630361	+	0.638927i
$573$	−4.51806			−0.188745
$574$	8.96706	−	1.42024i	0.374278	−	0.0592798i
$575$	19.1741	−	59.0117i	0.799614	−	2.46096i
$576$	3.32237	−	1.07950i	0.138432	−	0.0449793i
$577$	−7.80528	−	1.23624i	−0.324938	−	0.0514652i	−0.00816558	−	0.999967i	$-0.502599\pi$
$577$	−7.80528	−	1.23624i	−0.324938	−	0.0514652i	−0.316773	+	0.948502i	$0.602599\pi$
$578$	0.778845	−	4.91743i	0.0323957	−	0.204538i
$579$	−9.57859	+	18.7990i	−0.398073	+	0.781261i
$580$	−27.1316	+	13.8242i	−1.12658	+	0.574020i
$581$	−30.8004	−	22.3778i	−1.27782	−	0.928388i
$582$	−4.50582			−0.186772
$583$	−17.9062	+	17.2943i	−0.741598	+	0.716258i
$584$			25.6006i			1.05936i
$585$	15.5576	+	2.29481i	0.643229	+	0.0948787i
$586$	−2.31716	+	7.13147i	−0.0957209	+	0.294598i
$587$	−2.63640	+	5.17423i	−0.108816	+	0.213564i	−0.938993	−	0.343937i	$-0.888239\pi$
$587$	−2.63640	+	5.17423i	−0.108816	+	0.213564i	0.830177	+	0.557500i	$0.188239\pi$
$588$	11.7467	−	8.53446i	0.484425	−	0.351955i
$589$	2.66080	−	1.93318i	0.109636	−	0.0796554i
$590$	16.2867	+	8.29847i	0.670511	+	0.341643i
$591$	−1.64099	−	3.22062i	−0.0675011	−	0.132478i
$592$	13.4694	−	2.13334i	0.553589	−	0.0876799i
$593$	14.5671	+	14.5671i	0.598198	+	0.598198i	0.939833	−	0.341635i	$-0.110981\pi$
$593$	14.5671	+	14.5671i	0.598198	+	0.598198i	−0.341635	+	0.939833i	$0.610981\pi$
$594$	0.861231	+	1.22977i	0.0353368	+	0.0504582i
$595$		−	41.5051i		−	1.70154i
$596$	−0.377974	−	2.38644i	−0.0154824	−	0.0977522i
$597$	19.6864	+	6.39650i	0.805710	+	0.261791i
$598$	−5.16044	−	5.05186i	−0.211026	−	0.206586i
$599$	6.35277	−	4.61556i	0.259567	−	0.188587i	−0.450389	−	0.892832i	$-0.648715\pi$
$599$	6.35277	−	4.61556i	0.259567	−	0.188587i	0.709956	+	0.704246i	$0.248715\pi$
$600$	3.76875	−	23.7950i	0.153859	−	0.971426i
$601$	19.0397	−	6.18639i	0.776647	−	0.252348i	0.106239	−	0.994341i	$-0.466119\pi$
$601$	19.0397	−	6.18639i	0.776647	−	0.252348i	0.670408	+	0.741993i	$0.266119\pi$
$602$	2.53015	−	7.78699i	0.103121	−	0.317374i
$603$	−1.33343	−	8.41893i	−0.0543014	−	0.342845i
$604$	−8.94819	+	8.94819i	−0.364097	+	0.364097i
$605$	−41.9655	−	23.2538i	−1.70614	−	0.945402i
$606$	3.26824	−	3.26824i	0.132763	−	0.132763i
$607$	−12.2401	+	16.8470i	−0.496809	+	0.683799i	−0.981626	−	0.190817i	$-0.938886\pi$
$607$	−12.2401	+	16.8470i	−0.496809	+	0.683799i	0.484817	+	0.874616i	$0.338886\pi$
$608$	8.93382	+	2.90277i	0.362314	+	0.117723i
$609$	−13.4607	−	6.85859i	−0.545457	−	0.277924i
$610$	4.35968	+	6.00058i	0.176518	+	0.242956i
$611$	5.13915	+	2.55007i	0.207908	+	0.103165i
$612$	4.18237	−	1.35894i	0.169062	−	0.0549317i
$613$	16.6353	+	32.6487i	0.671895	+	1.31867i	0.935256	+	0.353971i	$0.115169\pi$
$613$	16.6353	+	32.6487i	0.671895	+	1.31867i	−0.263361	+	0.964697i	$0.584831\pi$
$614$	1.72261	+	1.25155i	0.0695187	+	0.0505083i
$615$	−22.5198			−0.908086
$616$	21.7964	+	3.84165i	0.878204	+	0.154784i
$617$	−6.16663	−	6.16663i	−0.248259	−	0.248259i	0.571997	−	0.820256i	$-0.306169\pi$
$617$	−6.16663	−	6.16663i	−0.248259	−	0.248259i	−0.820256	+	0.571997i	$0.806169\pi$
$618$	−1.11348	−	7.03026i	−0.0447909	−	0.282799i
$619$	−16.0988	−	31.5956i	−0.647064	−	1.26994i	−0.948599	−	0.316480i	$-0.897499\pi$
$619$	−16.0988	−	31.5956i	−0.647064	−	1.26994i	0.301535	−	0.953455i	$-0.402501\pi$
$620$	−3.98904	−	12.2770i	−0.160204	−	0.493056i
$621$	2.60072	+	3.57958i	0.104363	+	0.143644i
$622$	−1.73072	−	0.274119i	−0.0693956	−	0.0109912i
$623$	19.0920	+	58.7592i	0.764906	+	2.35414i
$624$	8.26684	+	5.87295i	0.330938	+	0.235106i
$625$	82.1490	+	59.6847i	3.28596	+	2.38739i
$626$	−2.45892	+	2.45892i	−0.0982781	+	0.0982781i
$627$	0.114978	−	6.61500i	0.00459180	−	0.264178i
$628$		−	20.6080i		−	0.822348i
$629$	11.7324	−	1.85823i	0.467802	−	0.0740925i
$630$	6.83341	−	3.48179i	0.272249	−	0.138718i
$631$	5.72950	+	2.91933i	0.228088	+	0.116217i	0.564300	−	0.825570i	$-0.309146\pi$
$631$	5.72950	+	2.91933i	0.228088	+	0.116217i	−0.336213	+	0.941786i	$0.609146\pi$
$632$	−1.64024	+	10.3560i	−0.0652451	+	0.411941i
$633$	4.74648	+	6.53297i	0.188656	+	0.259662i
$634$	0.455613	+	1.40223i	0.0180947	+	0.0556898i
$635$	66.0027	−	33.6301i	2.61924	−	1.33457i
$636$	−7.91967	+	10.9005i	−0.314035	+	0.432232i
$637$	27.8307	+	8.71671i	1.10269	+	0.345369i
$638$	−1.70760	−	5.58385i	−0.0676046	−	0.221067i
$639$	0.655577	+	0.655577i	0.0259342	+	0.0259342i
$640$	28.1990	−	38.8126i	1.11466	−	1.53420i
$641$	15.4565	+	5.02211i	0.610494	+	0.198362i	0.597915	−	0.801559i	$-0.295996\pi$
$641$	15.4565	+	5.02211i	0.610494	+	0.198362i	0.0125789	+	0.999921i	$0.495996\pi$
$642$	1.26502	−	2.48275i	0.0499265	−	0.0979864i
$643$	30.0711	+	4.76279i	1.18589	+	0.187826i	0.718052	−	0.695990i	$-0.245034\pi$
$643$	30.0711	+	4.76279i	1.18589	+	0.187826i	0.467835	+	0.883816i	$0.345034\pi$
$644$	30.4722	+	4.82632i	1.20077	+	0.190184i
$645$	−9.22029	+	18.0958i	−0.363049	+	0.712523i
$646$	2.10389	+	0.683596i	0.0827765	+	0.0268957i
$647$	15.6258	−	21.5071i	0.614314	−	0.845531i	−0.382609	−	0.923910i	$-0.624974\pi$
$647$	15.6258	−	21.5071i	0.614314	−	0.845531i	0.996924	+	0.0783792i	$0.0249745\pi$
$648$	1.21477	+	1.21477i	0.0477206	+	0.0477206i
$649$	18.4772	−	24.5238i	0.725293	−	0.962644i
$650$	20.2821	−	10.6074i	0.795529	−	0.416055i
$651$	3.76442	−	5.18128i	0.147539	−	0.203070i
$652$	12.0701	−	6.15003i	0.472702	−	0.240854i
$653$	11.6774	+	35.9395i	0.456974	+	1.40642i	0.868802	+	0.495159i	$0.164890\pi$
$653$	11.6774	+	35.9395i	0.456974	+	1.40642i	−0.411829	+	0.911261i	$0.635110\pi$
$654$	1.07129	+	1.47450i	0.0418907	+	0.0576576i
$655$	−2.65679	+	16.7743i	−0.103809	+	0.655427i
$656$	−12.9388	−	6.59263i	−0.505174	−	0.257399i
$657$	13.2777	−	6.76533i	0.518013	−	0.263941i
$658$	2.76343	−	0.437684i	0.107730	−	0.0170627i
$659$			4.23841i			0.165105i	0.996587	+	0.0825524i	$0.0263072\pi$
$659$			4.23841i			0.165105i	−0.996587	+	0.0825524i	$0.973693\pi$
$660$	−24.5532	−	8.45232i	−0.955732	−	0.329006i
$661$	0.331051	−	0.331051i	0.0128764	−	0.0128764i	−0.700639	−	0.713516i	$-0.747102\pi$
$661$	0.331051	−	0.331051i	0.0128764	−	0.0128764i	0.713516	+	0.700639i	$0.247102\pi$
$662$	3.06132	+	2.22418i	0.118982	+	0.0864453i
$663$	7.20075	+	5.11558i	0.279654	+	0.198673i
$664$	−5.20314	−	16.0136i	−0.201921	−	0.621449i
$665$	−33.3802	−	5.28690i	−1.29443	−	0.205017i
$666$	1.29015	+	1.77574i	0.0499924	+	0.0688086i
$667$	−5.31766	−	16.3661i	−0.205901	−	0.633697i
$668$	0.958169	+	1.88051i	0.0370727	+	0.0727592i
$669$	−1.13880	−	7.19009i	−0.0440285	−	0.277985i
$670$	−11.9002	−	11.9002i	−0.459745	−	0.459745i
$671$	11.1981	−	5.46270i	0.432298	−	0.210885i
$672$	18.2918			0.705620
$673$	−5.34855	−	3.88595i	−0.206172	−	0.149792i	0.479908	−	0.877319i	$-0.340670\pi$
$673$	−5.34855	−	3.88595i	−0.206172	−	0.149792i	−0.686080	+	0.727526i	$0.740670\pi$
$674$	−5.80964	−	11.4021i	−0.223779	−	0.439191i
$675$	−13.3372	+	4.33351i	−0.513348	+	0.166797i
$676$	0.496174	+	23.3308i	0.0190836	+	0.897340i
$677$	−18.6181	−	25.6257i	−0.715553	−	0.984874i	−0.999660	−	0.0260818i	$-0.991697\pi$
$677$	−18.6181	−	25.6257i	−0.715553	−	0.984874i	0.284107	−	0.958793i	$-0.408303\pi$
$678$	−7.28889	−	3.71387i	−0.279928	−	0.142630i
$679$	36.7721	+	11.9480i	1.41118	+	0.458521i
$680$	10.7896	−	14.8506i	0.413761	−	0.569493i
$681$	16.8397	−	16.8397i	0.645300	−	0.645300i
$682$	2.45124	−	0.344684i	0.0938629	−	0.0131986i
$683$	8.55533	−	8.55533i	0.327361	−	0.327361i	−0.524221	−	0.851582i	$-0.675644\pi$
$683$	8.55533	−	8.55533i	0.327361	−	0.327361i	0.851582	+	0.524221i	$0.175644\pi$
$684$	−0.560166	−	3.53675i	−0.0214185	−	0.135231i
$685$	−1.47382	+	4.53594i	−0.0563117	+	0.173310i
$686$	1.82044	−	0.591497i	0.0695048	−	0.0225835i
$687$	1.06953	−	6.75272i	0.0408050	−	0.257632i
$688$	−10.5950	+	7.69775i	−0.403932	+	0.293474i
$689$	−27.0614	+	0.287723i	−1.03096	+	0.0109614i
$690$	8.30831	+	2.69953i	0.316292	+	0.102770i
$691$	−6.82930	−	43.1185i	−0.259799	−	1.64031i	−0.680243	−	0.732987i	$-0.738126\pi$
$691$	−6.82930	−	43.1185i	−0.259799	−	1.64031i	0.420444	−	0.907318i	$-0.361874\pi$
$692$		−	21.3788i		−	0.812699i
$693$	−3.76756	−	12.3199i	−0.143118	−	0.467994i
$694$	−1.06820	−	1.06820i	−0.0405485	−	0.0405485i
$695$	21.9697	−	3.47965i	0.833357	−	0.131991i
$696$	−3.03332	−	5.95323i	−0.114978	−	0.225657i
$697$	−11.2702	−	5.74245i	−0.426889	−	0.217511i
$698$	6.59436	−	4.79108i	0.249600	−	0.181345i
$699$	−23.0987	+	16.7822i	−0.873674	+	0.634761i
$700$	−44.3929	+	87.1259i	−1.67789	+	3.29305i
$701$	−5.04944	+	15.5406i	−0.190715	+	0.586959i	−1.00000		0.000456558i	$-0.999855\pi$
$701$	−5.04944	+	15.5406i	−0.190715	+	0.586959i	0.809285	+	0.587416i	$0.199855\pi$
$702$	−0.238170	+	1.61467i	−0.00898916	+	0.0609419i
$703$		−	9.67242i		−	0.364802i
$704$	−8.04900	−	8.33375i	−0.303358	−	0.314090i
$705$	−6.94005			−0.261378
$706$	12.3730	+	8.98951i	0.465664	+	0.338325i
$707$	−35.3384	+	18.0058i	−1.32904	+	0.677179i
$708$	7.54486	−	14.8076i	0.283553	−	0.556504i
$709$	5.45213	−	34.4234i	0.204759	−	1.29280i	−0.644412	−	0.764678i	$-0.722898\pi$
$709$	5.45213	−	34.4234i	0.204759	−	1.29280i	0.849171	−	0.528118i	$-0.177102\pi$
$710$	1.80797	+	0.286354i	0.0678518	+	0.0107467i
$711$	5.80460	−	1.88603i	0.217689	−	0.0707316i
$712$	−8.44376	+	25.9872i	−0.316443	+	0.973912i
$713$	7.20526	−	1.14120i	0.269839	−	0.0427383i
$714$	4.30767			0.161210
$715$	−15.7823	−	49.7120i	−0.590226	−	1.85912i
$716$	−11.2037			−0.418703
$717$	−18.6470	+	2.95339i	−0.696383	+	0.110296i
$718$	−1.07482	+	3.30797i	−0.0401121	+	0.123452i
$719$	−37.6144	+	12.2217i	−1.40278	+	0.455791i	−0.910089	−	0.414413i	$-0.863987\pi$
$719$	−37.6144	+	12.2217i	−1.40278	+	0.455791i	−0.492692	+	0.870204i	$0.663987\pi$
$720$	−12.1160	−	1.91898i	−0.451536	−	0.0715162i
$721$	−9.55480	+	60.3266i	−0.355839	+	2.24668i
$722$	−3.08692	+	6.05843i	−0.114883	+	0.225471i
$723$	16.4123	−	8.36250i	0.610381	−	0.311005i
$724$	31.2499	+	22.7044i	1.16139	+	0.843802i
$725$	54.5408			2.02559
$726$	2.41343	−	4.35546i	0.0895709	−	0.161646i
$727$			9.18005i			0.340469i	0.985404	+	0.170235i	$0.0544526\pi$
$727$			9.18005i			0.340469i	−0.985404	+	0.170235i	$0.945547\pi$
$728$	14.3485	+	19.3139i	0.531792	+	0.715820i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	13.3574	−	26.2153i	0.494379	−	0.970273i
$731$	−9.22872	+	6.70505i	−0.341336	+	0.247995i
$732$	5.45565	−	3.96376i	0.201647	−	0.146505i
$733$	26.4107	+	13.4569i	0.975503	+	0.497044i	0.867678	−	0.497126i	$-0.165611\pi$
$733$	26.4107	+	13.4569i	0.975503	+	0.497044i	0.107825	+	0.994170i	$0.465611\pi$
$734$	2.08834	+	4.09859i	0.0770819	+	0.151282i
$735$	−34.8448	+	5.51887i	−1.28527	+	0.203567i
$736$	14.7330	+	14.7330i	0.543065	+	0.543065i
$737$	−23.1566	+	16.2170i	−0.852986	+	0.597361i
$738$		−	2.33725i		−	0.0860355i
$739$	0.438650	+	2.76953i	0.0161360	+	0.101879i	0.994442	−	0.105287i	$-0.0335761\pi$
$739$	0.438650	+	2.76953i	0.0161360	+	0.101879i	−0.978306	+	0.207166i	$0.933576\pi$
$740$	−36.1054	−	11.7314i	−1.32726	−	0.431254i
$741$	5.03140	−	5.13954i	0.184833	−	0.188806i
$742$	−10.6775	+	7.75769i	−0.391985	+	0.284794i
$743$	−5.43956	+	34.3440i	−0.199558	+	1.25996i	0.660913	+	0.750462i	$0.270169\pi$
$743$	−5.43956	+	34.3440i	−0.199558	+	1.25996i	−0.860471	+	0.509499i	$0.829831\pi$
$744$	2.69383	−	0.875277i	0.0987605	−	0.0320892i
$745$	−1.81415	+	5.58337i	−0.0664652	+	0.204559i
$746$	−0.405690	−	2.56142i	−0.0148534	−	0.0937804i
$747$	−6.93042	+	6.93042i	−0.253571	+	0.253571i
$748$	−10.1325	−	10.4910i	−0.370481	−	0.383588i
$749$	−16.9073	+	16.9073i	−0.617780	+	0.617780i
$750$	−10.4719	+	14.4134i	−0.382381	+	0.526303i
$751$	8.80191	+	2.85991i	0.321186	+	0.104360i	0.465173	−	0.885220i	$-0.345992\pi$
$751$	8.80191	+	2.85991i	0.321186	+	0.104360i	−0.143987	+	0.989580i	$0.545992\pi$
$752$	−3.98741	−	2.03169i	−0.145406	−	0.0740880i
$753$	−7.21058	−	9.92451i	−0.262768	−	0.361669i
$754$	2.82154	−	5.68624i	0.102754	−	0.207081i
$755$	29.2427	−	9.50152i	1.06425	−	0.345796i
$756$	−3.16560	−	6.21284i	−0.115132	−	0.225959i
$757$	−26.5567	−	19.2945i	−0.965218	−	0.701272i	−0.0108613	−	0.999941i	$-0.503457\pi$
$757$	−26.5567	−	19.2945i	−0.965218	−	0.701272i	−0.954357	+	0.298669i	$0.903457\pi$
$758$	−3.40871			−0.123810
$759$	6.88843	−	12.9575i	0.250034	−	0.470329i
$760$	−10.5691	−	10.5691i	−0.383381	−	0.383381i
$761$	−1.98277	−	12.5187i	−0.0718755	−	0.453804i	−0.997210	−	0.0746514i	$-0.976216\pi$
$761$	−1.98277	−	12.5187i	−0.0718755	−	0.453804i	0.925334	−	0.379152i	$-0.123784\pi$
$762$	3.49035	+	6.85019i	0.126442	+	0.248156i
$763$	−4.83290	−	14.8741i	−0.174963	−	0.538479i
$764$	4.76711	+	6.56137i	0.172468	+	0.237382i
$765$	−10.5535	−	1.67151i	−0.381563	−	0.0604336i
$766$	−2.73740	−	8.42486i	−0.0989063	−	0.304402i
$767$	32.9120	−	5.57206i	1.18838	−	0.201195i
$768$	−1.62412	−	1.17999i	−0.0586054	−	0.0425793i
$769$	−4.13614	+	4.13614i	−0.149153	+	0.149153i	−0.777740	−	0.628587i	$-0.783634\pi$
$769$	−4.13614	+	4.13614i	−0.149153	+	0.149153i	0.628587	+	0.777740i	$0.283634\pi$
$770$	−20.3154	−	15.3064i	−0.732116	−	0.551605i
$771$		−	10.0516i		−	0.361998i
$772$	37.4076	−	5.92478i	1.34633	−	0.213237i
$773$	−4.35309	+	2.21801i	−0.156570	+	0.0797763i	−0.530520	−	0.847673i	$-0.678003\pi$
$773$	−4.35309	+	2.21801i	−0.156570	+	0.0797763i	0.373950	+	0.927449i	$0.378003\pi$
$774$	−1.87810	−	0.956942i	−0.0675071	−	0.0343966i
$775$	−3.61697	+	22.8366i	−0.129925	+	0.820316i
$776$	10.0511	+	13.8342i	0.360814	+	0.496618i
$777$	−5.82026	−	17.9129i	−0.208801	−	0.642622i
$778$	−11.5210	+	5.87022i	−0.413046	+	0.210458i
$779$	−6.05393	+	8.33251i	−0.216904	+	0.298543i
$780$	−13.0826	−	25.0149i	−0.468432	−	0.895679i
$781$	1.00088	−	2.90748i	0.0358145	−	0.104038i
$782$	3.46958	+	3.46958i	0.124072	+	0.124072i
$783$	−2.28603	+	3.14646i	−0.0816962	+	0.112445i
$784$	−21.6357	−	7.02987i	−0.772704	−	0.251067i
$785$	−22.7323	+	44.6146i	−0.811349	+	1.59236i
$786$	−1.74095	−	0.275739i	−0.0620976	−	0.00983530i
$787$	43.4123	+	6.87583i	1.54748	+	0.245097i	0.870970	−	0.491336i	$-0.163491\pi$
$787$	43.4123	+	6.87583i	1.54748	+	0.245097i	0.676511	+	0.736433i	$0.263491\pi$
$788$	−2.94571	+	5.78128i	−0.104937	+	0.205950i
$789$	−8.42989	−	2.73904i	−0.300112	−	0.0975123i
$790$	7.08299	−	9.74890i	0.252001	−	0.346850i
$791$	49.6367	+	49.6367i	1.76488	+	1.76488i
$792$	1.85461	−	5.38748i	0.0659008	−	0.191436i
$793$	12.9257	+	4.04841i	0.459006	+	0.143763i
$794$	−3.91479	+	5.38825i	−0.138931	+	0.191222i
$795$	29.1695	−	14.8626i	1.03454	−	0.527123i
$796$	−11.4823	−	35.3387i	−0.406978	−	1.25255i
$797$	24.2358	+	33.3577i	0.858475	+	1.18159i	0.981931	+	0.189239i	$0.0606021\pi$
$797$	24.2358	+	33.3577i	0.858475	+	1.18159i	−0.123456	+	0.992350i	$0.539398\pi$
$798$	0.548709	−	3.46442i	0.0194241	−	0.122639i
$799$	−3.47320	−	1.76968i	−0.122873	−	0.0626069i
$800$	−58.8396	+	29.9803i	−2.08029	+	1.05996i
$801$	15.7096	−	2.48816i	0.555072	−	0.0879147i
$802$		−	2.84177i		−	0.100346i
$803$	−39.4740	−	29.7412i	−1.39301	−	1.04955i
$804$	−10.8195	+	10.8195i	−0.381574	+	0.381574i
$805$	−60.6459	−	44.0619i	−2.13749	−	1.55298i
$806$	2.19376	+	1.55849i	0.0772718	+	0.0548956i
$807$	−6.95045	−	21.3913i	−0.244667	−	0.753009i
$808$	−17.3249	−	2.74399i	−0.609487	−	0.0965333i
$809$	−7.79120	−	10.7237i	−0.273924	−	0.377024i	0.649786	−	0.760118i	$-0.274859\pi$
$809$	−7.79120	−	10.7237i	−0.273924	−	0.377024i	−0.923710	+	0.383094i	$0.874859\pi$
$810$	−0.610119	−	1.87775i	−0.0214374	−	0.0659775i
$811$	4.19076	+	8.22483i	0.147158	+	0.288813i	0.952805	−	0.303582i	$-0.0981826\pi$
$811$	4.19076	+	8.22483i	0.147158	+	0.288813i	−0.805648	+	0.592395i	$0.798183\pi$
$812$	4.24234	+	26.7851i	0.148877	+	0.939972i
$813$	20.2240	+	20.2240i	0.709286	+	0.709286i
$814$	3.41718	−	6.42792i	0.119772	−	0.225299i
$815$	−32.9148			−1.15295
$816$	−5.57419	−	4.04989i	−0.195136	−	0.141774i
$817$	4.21695	+	8.27623i	0.147532	+	0.289549i
$818$	0.784381	−	0.254861i	0.0274252	−	0.00891100i
$819$	6.22529	−	12.5458i	0.217529	−	0.438386i
$820$	23.7612	+	32.7045i	0.829777	+	1.14209i
$821$	7.92290	+	4.03692i	0.276511	+	0.140889i	0.586747	−	0.809770i	$-0.300408\pi$
$821$	7.92290	+	4.03692i	0.276511	+	0.140889i	−0.310236	+	0.950659i	$0.600408\pi$
$822$	−0.470770	−	0.152962i	−0.0164200	−	0.00533518i
$823$	−12.9035	+	17.7601i	−0.449786	+	0.619078i	−0.972352	−	0.233522i	$-0.924975\pi$
$823$	−12.9035	+	17.7601i	−0.449786	+	0.619078i	0.522565	+	0.852599i	$0.324975\pi$
$824$	−19.1011	+	19.1011i	−0.665418	+	0.665418i
$825$	32.3116	+	33.4547i	1.12494	+	1.16474i
$826$	11.5110	−	11.5110i	0.400521	−	0.400521i
$827$	3.16009	+	19.9520i	0.109887	+	0.693800i	0.979708	+	0.200432i	$0.0642345\pi$
$827$	3.16009	+	19.9520i	0.109887	+	0.693800i	−0.869821	+	0.493368i	$0.835766\pi$
$828$	2.45438	−	7.55381i	0.0852956	−	0.262513i
$829$	−34.3935	+	11.1751i	−1.19454	+	0.388129i	−0.837748	−	0.546056i	$-0.816128\pi$
$829$	−34.3935	+	11.1751i	−1.19454	+	0.388129i	−0.356789	+	0.934185i	$0.616128\pi$
$830$	−3.02719	+	19.1129i	−0.105075	+	0.663419i
$831$	−7.06487	+	5.13293i	−0.245077	+	0.178059i
$832$	−0.133910	−	12.5947i	−0.00464249	−	0.436643i
$833$	−18.8456	−	6.12330i	−0.652961	−	0.212160i
$834$	0.361141	+	2.28016i	0.0125053	+	0.0789553i
$835$		−	5.12809i		−	0.177465i
$836$	−9.72798	+	6.81267i	−0.336449	+	0.235621i
$837$	−1.16584	−	1.16584i	−0.0402974	−	0.0402974i
$838$	2.73237	−	0.432765i	0.0943881	−	0.0149496i
$839$	−7.06943	−	13.8745i	−0.244064	−	0.479002i	0.736182	−	0.676783i	$-0.236627\pi$
$839$	−7.06943	−	13.8745i	−0.244064	−	0.479002i	−0.980246	+	0.197781i	$0.936627\pi$
$840$	−25.9334	−	13.2137i	−0.894786	−	0.455916i
$841$	−11.2242	+	8.15486i	−0.387041	+	0.281202i
$842$	−2.57769	+	1.87280i	−0.0888331	+	0.0645411i
$843$	4.54057	−	8.91137i	0.156385	−	0.306924i
$844$	4.47941	−	13.7862i	0.154188	−	0.474540i
$845$	24.6616	−	51.0566i	0.848385	−	1.75640i
$846$		−	0.720284i		−	0.0247639i
$847$	−31.2453	+	29.1453i	−1.07360	+	1.00144i
$848$	21.1104			0.724933
$849$	24.6469	+	17.9070i	0.845878	+	0.614566i
$850$	−13.8566	+	7.06028i	−0.475277	+	0.242166i
$851$	9.73996	−	19.1157i	0.333881	−	0.655279i
$852$	0.260349	−	1.64378i	0.00891941	−	0.0563150i
$853$	56.4323	+	8.93799i	1.93220	+	0.306031i	0.998629	−	0.0523507i	$-0.0166714\pi$
$853$	56.4323	+	8.93799i	1.93220	+	0.306031i	0.933575	+	0.358382i	$0.116671\pi$
$854$	6.28233	−	2.04125i	0.214977	−	0.0698502i
$855$	−2.68861	+	8.27468i	−0.0919484	+	0.282988i
$856$	−10.4446	+	1.65427i	−0.356991	+	0.0565418i
$857$	−2.25804			−0.0771333			−0.0385666	−	0.999256i	$-0.512279\pi$
$857$	−2.25804			−0.0771333			−0.0385666	+	0.999256i	$0.512279\pi$
$858$	5.15944	−	1.63800i	0.176140	−	0.0559202i
$859$	0.396050			0.0135130			0.00675652	−	0.999977i	$-0.497849\pi$
$859$	0.396050			0.0135130			0.00675652	+	0.999977i	$0.497849\pi$
$860$	36.0083	−	5.70316i	1.22787	−	0.194476i
$861$	−6.19763	+	19.0743i	−0.211215	+	0.650052i
$862$	−10.4211	+	3.38603i	−0.354945	+	0.115329i
$863$	−9.48662	−	1.50253i	−0.322928	−	0.0511468i	−0.00713412	−	0.999975i	$-0.502271\pi$
$863$	−9.48662	−	1.50253i	−0.322928	−	0.0511468i	−0.315794	+	0.948828i	$0.602271\pi$
$864$	0.736655	−	4.65105i	0.0250615	−	0.158232i
$865$	−23.5825	+	46.2833i	−0.801830	+	1.57368i
$866$	−3.41732	+	1.74121i	−0.116125	+	0.0591687i
$867$	8.89794	+	6.46473i	0.302190	+	0.219554i
$868$	−11.4965			−0.390215
$869$	−14.0626	−	14.5601i	−0.477042	−	0.493919i
$870$			7.67885i			0.260337i
$871$	−30.4043	−	4.48475i	−1.03021	−	0.151960i
$872$	2.13743	−	6.57833i	0.0723824	−	0.222770i
$873$	4.51892	−	8.86887i	0.152942	−	0.300166i
$874$	3.23235	−	2.34844i	0.109336	−	0.0794371i
$875$	123.681	−	89.8597i	4.18119	−	3.03781i
$876$	−23.8346	−	12.1443i	−0.805297	−	0.410319i
$877$	−11.8835	−	23.3226i	−0.401276	−	0.787549i	0.598633	−	0.801023i	$-0.295711\pi$
$877$	−11.8835	−	23.3226i	−0.401276	−	0.787549i	−0.999909	+	0.0134744i	$0.995711\pi$
$878$	14.0126	−	2.21938i	0.472903	−	0.0749004i
$879$	−11.7131	−	11.7131i	−0.395073	−	0.395073i
$880$	11.8980	+	38.9064i	0.401082	+	1.31153i
$881$			12.5556i			0.423008i	0.977377	+	0.211504i	$0.0678362\pi$
$881$			12.5556i			0.423008i	−0.977377	+	0.211504i	$0.932164\pi$
$882$	−0.572784	−	3.61642i	−0.0192867	−	0.121771i
$883$	−1.14980	−	0.373594i	−0.0386940	−	0.0125724i	0.289606	−	0.957146i	$-0.406476\pi$
$883$	−1.14980	−	0.373594i	−0.0386940	−	0.0125724i	−0.328300	+	0.944573i	$0.606476\pi$
$884$	−0.168573	−	15.8549i	−0.00566972	−	0.533258i
$885$	−32.6680	+	23.7347i	−1.09812	+	0.797832i
$886$	−2.19737	+	13.8736i	−0.0738220	+	0.466094i
$887$	18.8273	−	6.11736i	0.632159	−	0.205401i	0.0246275	−	0.999697i	$-0.492160\pi$
$887$	18.8273	−	6.11736i	0.632159	−	0.205401i	0.607531	+	0.794296i	$0.292160\pi$
$888$	2.57411	−	7.92228i	0.0863813	−	0.265854i
$889$	−10.3203	−	65.1597i	−0.346131	−	2.18539i
$890$	22.2056	−	22.2056i	0.744333	−	0.744333i
$891$	−3.28431	+	0.461827i	−0.110029	+	0.0154718i
$892$	−9.24027	+	9.24027i	−0.309387	+	0.309387i
$893$	−1.86567	+	2.56788i	−0.0624323	+	0.0859307i
$894$	−0.579479	−	0.188284i	−0.0193807	−	0.00629716i
$895$	24.2552	+	12.3586i	0.810761	+	0.413103i
$896$	−25.1138	−	34.5662i	−0.838993	−	1.15477i
$897$	15.1191	−	5.09082i	0.504811	−	0.169977i
$898$	5.99377	−	1.94749i	0.200015	−	0.0649887i
$899$	2.91116	+	5.71347i	0.0970925	+	0.190555i
$900$	20.3657	+	14.7966i	0.678858	+	0.493219i
$901$	18.3880			0.612593
$902$	−6.96701	+	3.39867i	−0.231976	+	0.113163i
$903$	12.7897	+	12.7897i	0.425616	+	0.425616i
$904$	4.85662	+	30.6635i	0.161529	+	1.01985i
$905$	−42.6087	−	83.6243i	−1.41636	−	2.77977i
$906$	0.986130	+	3.03500i	0.0327620	+	0.100831i
$907$	−7.70759	−	10.6086i	−0.255926	−	0.352252i	0.661650	−	0.749813i	$-0.269857\pi$
$907$	−7.70759	−	10.6086i	−0.255926	−	0.352252i	−0.917576	+	0.397561i	$0.869857\pi$
$908$	−42.2236	−	6.68756i	−1.40124	−	0.221934i
$909$	3.15518	+	9.71066i	0.104651	+	0.322082i
$910$	−4.61586	−	27.2641i	−0.153014	−	0.903797i
$911$	−7.03154	−	5.10871i	−0.232965	−	0.169259i	0.465178	−	0.885217i	$-0.345990\pi$
$911$	−7.03154	−	5.10871i	−0.232965	−	0.169259i	−0.698143	+	0.715958i	$0.745990\pi$
$912$	−3.96714	+	3.96714i	−0.131365	+	0.131365i
$913$	30.7363	+	10.5808i	1.01722	+	0.350175i
$914$			12.3337i			0.407964i
$915$	−16.1834	+	2.56319i	−0.535006	+	0.0847366i
$916$	−10.9352	+	5.57174i	−0.361308	+	0.184096i
$917$	13.4767	+	6.86674i	0.445041	+	0.226760i
$918$	0.173480	−	1.09531i	0.00572571	−	0.0361507i
$919$	−7.25952	−	9.99187i	−0.239469	−	0.329601i	0.672319	−	0.740261i	$-0.265298\pi$
$919$	−7.25952	−	9.99187i	−0.239469	−	0.329601i	−0.911788	+	0.410660i	$0.865298\pi$
$920$	−10.2450	−	31.5308i	−0.337767	−	1.03954i
$921$	−4.19105	+	2.13544i	−0.138100	+	0.0703653i
$922$	−4.31956	+	5.94536i	−0.142257	+	0.195800i
$923$	2.96215	−	1.54918i	0.0975005	−	0.0509919i
$924$	−13.9164	+	18.4705i	−0.457815	+	0.607634i
$925$	48.0815	+	48.0815i	1.58091	+	1.58091i
$926$	−5.32494	+	7.32915i	−0.174988	+	0.240851i
$927$	14.9545	+	4.85900i	0.491169	+	0.159591i
$928$	−8.31462	+	16.3184i	−0.272941	+	0.535676i
$929$	2.72020	+	0.430838i	0.0892470	+	0.0141353i	0.200898	−	0.979612i	$-0.435614\pi$
$929$	2.72020	+	0.430838i	0.0892470	+	0.0141353i	−0.111651	+	0.993747i	$0.535614\pi$
$930$	−3.21519	−	0.509237i	−0.105430	−	0.0166985i
$931$	−7.32518	+	14.3765i	−0.240073	+	0.471170i
$932$	48.7440	+	15.8379i	1.59666	+	0.518788i
$933$	2.27530	−	3.13169i	0.0744901	−	0.102527i
$934$	4.43083	+	4.43083i	0.144981	+	0.144981i
$935$	10.3637	+	33.8891i	0.338928	+	1.10829i
$936$	5.48880	−	2.87059i	0.179407	−	0.0938282i
$937$	−24.7836	+	34.1117i	−0.809645	+	1.11438i	0.181733	+	0.983348i	$0.441829\pi$
$937$	−24.7836	+	34.1117i	−0.809645	+	1.11438i	−0.991378	+	0.131032i	$0.958171\pi$
$938$	−13.3545	+	6.80448i	−0.436041	+	0.222174i
$939$	−2.37386	−	7.30598i	−0.0774679	−	0.238422i
$940$	7.32262	+	10.0787i	0.238838	+	0.328732i
$941$	−0.549872	+	3.47175i	−0.0179253	+	0.113176i	−0.995029	−	0.0995895i	$-0.968247\pi$
$941$	−0.549872	+	3.47175i	−0.0179253	+	0.113176i	0.977103	+	0.212765i	$0.0682470\pi$
$942$	−4.63039	−	2.35930i	−0.150866	−	0.0768702i
$943$	−20.3552	+	10.3715i	−0.662855	+	0.337742i
$944$	−25.7177	+	4.07328i	−0.837039	+	0.132574i
$945$			16.9422i			0.551130i
$946$	−0.121494	+	6.98988i	−0.00395012	+	0.227261i
$947$	42.9619	−	42.9619i	1.39607	−	1.39607i	0.585147	−	0.810927i	$-0.301037\pi$
$947$	42.9619	−	42.9619i	1.39607	−	1.39607i	0.810927	−	0.585147i	$-0.198963\pi$
$948$	−8.86356	−	6.43976i	−0.287875	−	0.209154i
$949$	−8.96889	−	52.9758i	−0.291143	−	1.71967i
$950$	3.91314	+	12.0434i	0.126959	+	0.390740i
$951$	−3.21697	−	0.509518i	−0.104317	−	0.0165223i
$952$	−9.60909	−	13.2258i	−0.311432	−	0.428650i
$953$	−3.90608	−	12.0217i	−0.126530	−	0.389420i	0.867647	−	0.497181i	$-0.165632\pi$
$953$	−3.90608	−	12.0217i	−0.126530	−	0.389420i	−0.994177	+	0.107762i	$0.965632\pi$
$954$	1.54254	+	3.02741i	0.0499416	+	0.0980159i
$955$	−3.08269	−	19.4633i	−0.0997535	−	0.629819i
$956$	23.9639	+	23.9639i	0.775049	+	0.775049i
$957$	12.7033	+	2.23897i	0.410640	+	0.0723758i
$958$	−13.5672			−0.438336
$959$	3.43635	+	2.49666i	0.110966	+	0.0806212i
$960$	6.91725	+	13.5759i	0.223253	+	0.438159i
$961$	26.8974	−	8.73950i	0.867659	−	0.281919i
$962$	7.50020	−	2.52543i	0.241816	−	0.0814232i
$963$	3.61813	+	4.97993i	0.116593	+	0.160476i
$964$	−29.4615	−	15.0114i	−0.948892	−	0.483485i
$965$	−87.5198	−	28.4369i	−2.81736	−	0.915417i
$966$	4.57303	−	6.29423i	0.147135	−	0.202514i
$967$	−20.4010	+	20.4010i	−0.656053	+	0.656053i	−0.954444	−	0.298391i	$-0.903550\pi$
$967$	−20.4010	+	20.4010i	−0.656053	+	0.656053i	0.298391	+	0.954444i	$0.403550\pi$
$968$	−18.7561	+	2.30577i	−0.602845	+	0.0741102i
$969$	−3.45554	+	3.45554i	−0.111008	+	0.111008i
$970$	−3.07434	−	19.4106i	−0.0987111	−	0.623238i
$971$	−15.7013	+	48.3237i	−0.503879	+	1.55078i	0.298767	+	0.954326i	$0.403425\pi$
$971$	−15.7013	+	48.3237i	−0.503879	+	1.55078i	−0.802646	+	0.596455i	$0.796575\pi$
$972$	−1.70723	+	0.554712i	−0.0547593	+	0.0177924i
$973$	3.09895	−	19.5660i	0.0993478	−	0.627257i
$974$	5.76136	−	4.18587i	0.184606	−	0.134124i
$975$	0.537562	+	50.5597i	0.0172158	+	1.61921i
$976$	−10.0485	−	3.26497i	−0.321646	−	0.104509i
$977$	−3.35741	−	21.1978i	−0.107413	−	0.678179i	−0.981363	−	0.192163i	$-0.938450\pi$
$977$	−3.35741	−	21.1978i	−0.107413	−	0.678179i	0.873950	−	0.486016i	$-0.161550\pi$
$978$		−	3.41611i		−	0.109235i
$979$	−30.2607	−	43.2100i	−0.967135	−	1.38100i
$980$	44.7804	+	44.7804i	1.43046	+	1.43046i
$981$	−3.97668	+	0.629844i	−0.126966	+	0.0201094i
$982$	4.21352	+	8.26950i	0.134459	+	0.263890i
$983$	−47.8181	−	24.3645i	−1.52516	−	0.777108i	−0.527775	−	0.849384i	$-0.676974\pi$
$983$	−47.8181	−	24.3645i	−1.52516	−	0.777108i	−0.997385	+	0.0722766i	$0.976974\pi$
$984$	−7.17604	+	5.21370i	−0.228764	+	0.166207i
$985$	12.7544	−	9.26664i	0.406390	−	0.295260i
$986$	−1.95807	+	3.84293i	−0.0623577	+	0.122384i
$987$	−1.90996	+	5.87825i	−0.0607946	+	0.187107i
$988$	−12.7727	−	1.88402i	−0.406353	−	0.0599386i
$989$			20.6028i			0.655132i
$990$	−4.71012	+	4.54918i	−0.149697	+	0.144582i
$991$	−7.91075			−0.251293			−0.125647	−	0.992075i	$-0.540101\pi$
$991$	−7.91075			−0.251293			−0.125647	+	0.992075i	$0.540101\pi$
$992$	−6.28122	−	4.56358i	−0.199429	−	0.144894i
$993$	−7.44811	+	3.79500i	−0.236359	+	0.120431i
$994$	0.740110	−	1.45255i	0.0234749	−	0.0460720i
$995$	−14.1233	+	89.1713i	−0.447740	+	2.82692i
$996$	17.3772	+	2.75228i	0.550618	+	0.0872093i
$997$	−53.8169	+	17.4862i	−1.70440	+	0.553792i	−0.989385	−	0.145319i	$-0.953579\pi$
$997$	−53.8169	+	17.4862i	−1.70440	+	0.553792i	−0.715013	+	0.699111i	$0.753579\pi$
$998$	−1.97785	+	6.08720i	−0.0626078	+	0.192687i
$999$	−4.78912	+	0.758522i	−0.151521	+	0.0239986i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.73.7	✓	112
11.8	odd	10	inner	429.2.bj.a.151.8	yes	112
13.5	odd	4	inner	429.2.bj.a.304.8	yes	112
143.96	even	20	inner	429.2.bj.a.382.7	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.73.7	✓	112	1.1	even	1	trivial
429.2.bj.a.151.8	yes	112	11.8	odd	10	inner
429.2.bj.a.304.8	yes	112	13.5	odd	4	inner
429.2.bj.a.382.7	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.447102 + 0.0708140i) q^{2} +(0.309017 - 0.951057i) q^{3} +(-1.70723 + 0.554712i) q^{4} +(4.30790 + 0.682304i) q^{5} +(-0.0708140 + 0.447102i) q^{6} +(1.76348 - 3.46103i) q^{7} +(1.53070 - 0.779929i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-0.447102 + 0.0708140i) q^{2} +(0.309017 - 0.951057i) q^{3} +(-1.70723 + 0.554712i) q^{4} +(4.30790 + 0.682304i) q^{5} +(-0.0708140 + 0.447102i) q^{6} +(1.76348 - 3.46103i) q^{7} +(1.53070 - 0.779929i) q^{8} +(-0.809017 - 0.587785i) q^{9} -1.97439 q^{10} +(-0.575686 + 3.26628i) q^{11} +1.79509i q^{12} +(-2.89426 + 2.15018i) q^{13} +(-0.543367 + 1.67231i) q^{14} +(1.98012 - 3.88621i) q^{15} +(2.27536 - 1.65315i) q^{16} +(1.98193 - 1.43996i) q^{17} +(0.403336 + 0.205510i) q^{18} +(-0.905620 - 1.77738i) q^{19} +(-7.73304 + 1.22479i) q^{20} +(-2.74669 - 2.74669i) q^{21} +(0.0260918 - 1.50113i) q^{22} -4.42460i q^{23} +(-0.268745 - 1.69679i) q^{24} +(13.3372 + 4.33351i) q^{25} +(1.14176 - 1.16630i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(-1.09079 + 6.88699i) q^{28} +(3.69888 - 1.20184i) q^{29} +(-0.610119 + 1.87775i) q^{30} +(0.257921 + 1.62845i) q^{31} +(-3.32979 + 3.32979i) q^{32} +(2.92852 + 1.55685i) q^{33} +(-0.784157 + 0.784157i) q^{34} +(9.95837 - 13.7065i) q^{35} +(1.70723 + 0.554712i) q^{36} +(4.32033 + 2.20132i) q^{37} +(0.530768 + 0.730539i) q^{38} +(1.15057 + 3.41704i) q^{39} +(7.12623 - 2.31545i) q^{40} +(-2.34404 - 4.60045i) q^{41} +(1.42255 + 1.03355i) q^{42} -4.65642 q^{43} +(-0.829018 - 5.89562i) q^{44} +(-3.08411 - 3.08411i) q^{45} +(0.313324 + 1.97825i) q^{46} +(-0.722377 - 1.41775i) q^{47} +(-0.869111 - 2.67485i) q^{48} +(-4.75435 - 6.54380i) q^{49} +(-6.26995 - 0.993062i) q^{50} +(-0.757031 - 2.32990i) q^{51} +(3.74842 - 5.27633i) q^{52} +(6.07241 + 4.41186i) q^{53} +(0.320090 - 0.320090i) q^{54} +(-4.70859 + 13.6780i) q^{55} -6.67317i q^{56} +(-1.97024 + 0.312055i) q^{57} +(-1.56867 + 0.799277i) q^{58} +(-8.24898 - 4.20306i) q^{59} +(-1.22479 + 7.73304i) q^{60} +(-2.20812 - 3.03921i) q^{61} +(-0.230634 - 0.709820i) q^{62} +(-3.46103 + 1.76348i) q^{63} +(-2.05333 + 2.82617i) q^{64} +(-13.9352 + 7.28800i) q^{65} +(-1.41959 - 0.488688i) q^{66} +(6.02729 + 6.02729i) q^{67} +(-2.58485 + 3.55774i) q^{68} +(-4.20805 - 1.36728i) q^{69} +(-3.48179 + 6.83341i) q^{70} +(-0.915711 - 0.145034i) q^{71} +(-1.69679 - 0.268745i) q^{72} +(-6.76533 + 13.2777i) q^{73} +(-2.08751 - 0.678273i) q^{74} +(8.24282 - 11.3453i) q^{75} +(2.53203 + 2.53203i) q^{76} +(10.2895 + 7.75249i) q^{77} +(-0.756397 - 1.44629i) q^{78} +(-3.58744 + 4.93768i) q^{79} +(10.9300 - 5.56910i) q^{80} +(0.309017 + 0.951057i) q^{81} +(1.37380 + 1.89088i) q^{82} +(1.53323 - 9.68043i) q^{83} +(6.21284 + 3.16560i) q^{84} +(9.52046 - 4.85091i) q^{85} +(2.08190 - 0.329740i) q^{86} -3.88923i q^{87} +(1.66627 + 5.44868i) q^{88} +(-11.2468 + 11.2468i) q^{89} +(1.59731 + 1.16052i) q^{90} +(2.33787 + 13.8089i) q^{91} +(2.45438 + 7.55381i) q^{92} +(1.62845 + 0.257921i) q^{93} +(0.423372 + 0.582722i) q^{94} +(-2.68861 - 8.27468i) q^{95} +(2.13786 + 4.19578i) q^{96} +(1.55711 + 9.83122i) q^{97} +(2.58907 + 2.58907i) q^{98} +(2.38561 - 2.30410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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