LMFDB - Embedded newform 165.2.w.a.7.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

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

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			7.6
Character	$\chi$	$=$	165.7
Dual form			165.2.w.a.118.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.329725 + 0.0522232i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.79612 + 0.583595i) q^{4} +(0.0998428 + 2.23384i) q^{5} +(0.196223 + 0.270078i) q^{6} +(2.61195 + 1.33085i) q^{7} +(1.15665 - 0.589341i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.329725 + 0.0522232i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.79612 + 0.583595i) q^{4} +(0.0998428 + 2.23384i) q^{5} +(0.196223 + 0.270078i) q^{6} +(2.61195 + 1.33085i) q^{7} +(1.15665 - 0.589341i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.149579 - 0.731337i) q^{10} +(-0.560050 + 3.26900i) q^{11} +(1.33541 + 1.33541i) q^{12} +(0.486412 + 3.07108i) q^{13} +(-0.930724 - 0.302411i) q^{14} +(1.94504 - 1.10310i) q^{15} +(2.70515 - 1.96541i) q^{16} +(-0.618455 + 3.90477i) q^{17} +(0.151558 - 0.297449i) q^{18} +(2.33532 - 7.18738i) q^{19} +(-1.48299 - 3.95398i) q^{20} -2.93145i q^{21} +(0.0139447 - 1.10712i) q^{22} +(-2.99612 + 2.99612i) q^{23} +(-1.05021 - 0.763024i) q^{24} +(-4.98006 + 0.446065i) q^{25} +(-0.320764 - 0.987210i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-5.46805 - 0.866054i) q^{28} +(-0.756438 - 2.32808i) q^{29} +(-0.583719 + 0.465296i) q^{30} +(0.442507 + 0.321500i) q^{31} +(-2.62515 + 2.62515i) q^{32} +(3.16696 - 0.985085i) q^{33} -1.31980i q^{34} +(-2.71212 + 5.96754i) q^{35} +(0.583595 - 1.79612i) q^{36} +(3.35951 - 6.59342i) q^{37} +(-0.394664 + 2.49181i) q^{38} +(2.51553 - 1.82764i) q^{39} +(1.43197 + 2.52492i) q^{40} +(-6.93215 - 2.25239i) q^{41} +(0.153090 + 0.966573i) q^{42} +(3.64317 + 3.64317i) q^{43} +(-0.901853 - 6.19836i) q^{44} +(-1.86590 - 1.23224i) q^{45} +(0.831428 - 1.14436i) q^{46} +(7.06469 - 3.59964i) q^{47} +(-2.97930 - 1.51803i) q^{48} +(0.936592 + 1.28911i) q^{49} +(1.61875 - 0.407154i) q^{50} +(3.75995 - 1.22168i) q^{51} +(-2.66593 - 5.23217i) q^{52} +(3.83421 - 0.607279i) q^{53} -0.333835 q^{54} +(-7.35833 - 0.924675i) q^{55} +3.80542 q^{56} +(-7.46421 + 1.18222i) q^{57} +(0.370996 + 0.728120i) q^{58} +(5.91367 - 1.92147i) q^{59} +(-2.84976 + 3.11642i) q^{60} +(2.56714 + 3.53337i) q^{61} +(-0.162695 - 0.0828974i) q^{62} +(-2.61195 + 1.33085i) q^{63} +(-3.20233 + 4.40762i) q^{64} +(-6.81174 + 1.39319i) q^{65} +(-0.992779 + 0.490196i) q^{66} +(10.1147 + 10.1147i) q^{67} +(-1.16799 - 7.37438i) q^{68} +(4.02978 + 1.30935i) q^{69} +(0.582610 - 2.10928i) q^{70} +(13.2973 - 9.66108i) q^{71} +(-0.203073 + 1.28215i) q^{72} +(-0.427788 + 0.839582i) q^{73} +(-0.763385 + 2.34946i) q^{74} +(2.65835 + 4.23476i) q^{75} +14.2723i q^{76} +(-5.81337 + 7.79310i) q^{77} +(-0.733987 + 0.733987i) q^{78} +(-10.0930 - 7.33302i) q^{79} +(4.66049 + 5.84663i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(2.40333 + 0.380649i) q^{82} +(-4.72349 - 0.748127i) q^{83} +(1.71078 + 5.26525i) q^{84} +(-8.78438 - 0.991665i) q^{85} +(-1.39150 - 1.01099i) q^{86} +(-1.73091 + 1.73091i) q^{87} +(1.27877 + 4.11113i) q^{88} +2.68287i q^{89} +(0.679584 + 0.308857i) q^{90} +(-2.81668 + 8.66884i) q^{91} +(3.63288 - 7.12993i) q^{92} +(0.0855648 - 0.540235i) q^{93} +(-2.14142 + 1.55583i) q^{94} +(16.2886 + 4.49912i) q^{95} +(3.53082 + 1.14723i) q^{96} +(-1.64587 - 10.3916i) q^{97} +(-0.376139 - 0.376139i) q^{98} +(-2.31549 - 2.37456i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.329725	+	0.0522232i	−0.233150	+	0.0369274i	−0.271916	−	0.962321i	$-0.587657\pi$
$2$	−0.329725	+	0.0522232i	−0.233150	+	0.0369274i	0.0387658	+	0.999248i	$0.487657\pi$
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	−1.79612	+	0.583595i	−0.898061	+	0.291798i
$5$	0.0998428	+	2.23384i	0.0446511	+	0.999003i
$5$	0.0998428	+	2.23384i	0.0446511	+	0.999003i
$6$	0.196223	+	0.270078i	0.0801077	+	0.110259i
$7$	2.61195	+	1.33085i	0.987222	+	0.503015i	0.871568	−	0.490275i	$-0.163103\pi$
$7$	2.61195	+	1.33085i	0.987222	+	0.503015i	0.115654	+	0.993290i	$0.463103\pi$
$8$	1.15665	−	0.589341i	0.408936	−	0.208363i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−0.149579	−	0.731337i	−0.0473010	−	0.231269i
$11$	−0.560050	+	3.26900i	−0.168861	+	0.985640i
$11$	−0.560050	+	3.26900i	−0.168861	+	0.985640i
$12$	1.33541	+	1.33541i	0.385500	+	0.385500i
$13$	0.486412	+	3.07108i	0.134906	+	0.851765i	0.958605	+	0.284738i	$0.0919066\pi$
$13$	0.486412	+	3.07108i	0.134906	+	0.851765i	−0.823699	+	0.567027i	$0.808093\pi$
$14$	−0.930724	−	0.302411i	−0.248746	−	0.0808226i
$15$	1.94504	−	1.10310i	0.502206	−	0.284820i
$16$	2.70515	−	1.96541i	0.676287	−	0.491351i
$17$	−0.618455	+	3.90477i	−0.149997	+	0.947046i	0.791779	+	0.610807i	$0.209155\pi$
$17$	−0.618455	+	3.90477i	−0.149997	+	0.947046i	−0.941777	+	0.336239i	$0.890845\pi$
$18$	0.151558	−	0.297449i	0.0357225	−	0.0701094i
$19$	2.33532	−	7.18738i	0.535759	−	1.64890i	−0.206244	−	0.978501i	$-0.566124\pi$
$19$	2.33532	−	7.18738i	0.535759	−	1.64890i	0.742003	−	0.670397i	$-0.233876\pi$
$20$	−1.48299	−	3.95398i	−0.331606	−	0.884136i
$21$		−	2.93145i		−	0.639696i
$22$	0.0139447	−	1.10712i	0.00297302	−	0.236038i
$23$	−2.99612	+	2.99612i	−0.624735	+	0.624735i	−0.946738	−	0.322004i	$-0.895644\pi$
$23$	−2.99612	+	2.99612i	−0.624735	+	0.624735i	0.322004	+	0.946738i	$0.395644\pi$
$24$	−1.05021	−	0.763024i	−0.214374	−	0.155752i
$25$	−4.98006	+	0.446065i	−0.996013	+	0.0892131i
$26$	−0.320764	−	0.987210i	−0.0629070	−	0.193608i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	−5.46805	−	0.866054i	−1.03336	−	0.163669i
$29$	−0.756438	−	2.32808i	−0.140467	−	0.432313i	0.855933	−	0.517086i	$-0.172983\pi$
$29$	−0.756438	−	2.32808i	−0.140467	−	0.432313i	−0.996400	+	0.0847734i	$0.972983\pi$
$30$	−0.583719	+	0.465296i	−0.106572	+	0.0849510i
$31$	0.442507	+	0.321500i	0.0794766	+	0.0577431i	0.626814	−	0.779169i	$-0.284359\pi$
$31$	0.442507	+	0.321500i	0.0794766	+	0.0577431i	−0.547337	+	0.836912i	$0.684359\pi$
$32$	−2.62515	+	2.62515i	−0.464066	+	0.464066i
$33$	3.16696	−	0.985085i	0.551296	−	0.171481i
$34$		−	1.31980i		−	0.226343i
$35$	−2.71212	+	5.96754i	−0.458433	+	1.00870i
$36$	0.583595	−	1.79612i	0.0972659	−	0.299354i
$37$	3.35951	−	6.59342i	0.552301	−	1.08395i	−0.431066	−	0.902320i	$-0.641862\pi$
$37$	3.35951	−	6.59342i	0.552301	−	1.08395i	0.983367	−	0.181631i	$-0.0581376\pi$
$38$	−0.394664	+	2.49181i	−0.0640230	+	0.404225i
$39$	2.51553	−	1.82764i	0.402807	−	0.292656i
$40$	1.43197	+	2.52492i	0.226415	+	0.399225i
$41$	−6.93215	−	2.25239i	−1.08262	−	0.351764i	−0.287229	−	0.957862i	$-0.592734\pi$
$41$	−6.93215	−	2.25239i	−1.08262	−	0.351764i	−0.795390	+	0.606098i	$0.792734\pi$
$42$	0.153090	+	0.966573i	0.0236223	+	0.149145i
$43$	3.64317	+	3.64317i	0.555579	+	0.555579i	0.928045	−	0.372467i	$-0.121488\pi$
$43$	3.64317	+	3.64317i	0.555579	+	0.555579i	−0.372467	+	0.928045i	$0.621488\pi$
$44$	−0.901853	−	6.19836i	−0.135960	−	0.934438i
$45$	−1.86590	−	1.23224i	−0.278152	−	0.183692i
$46$	0.831428	−	1.14436i	0.122587	−	0.168727i
$47$	7.06469	−	3.59964i	1.03049	−	0.525061i	0.144861	−	0.989452i	$-0.453727\pi$
$47$	7.06469	−	3.59964i	1.03049	−	0.525061i	0.885630	+	0.464391i	$0.153727\pi$
$48$	−2.97930	−	1.51803i	−0.430025	−	0.219109i
$49$	0.936592	+	1.28911i	0.133799	+	0.184158i
$50$	1.61875	−	0.407154i	0.228926	−	0.0575802i
$51$	3.75995	−	1.22168i	0.526498	−	0.171070i
$52$	−2.66593	−	5.23217i	−0.369697	−	0.725572i
$53$	3.83421	−	0.607279i	0.526669	−	0.0834162i	0.112563	−	0.993645i	$-0.464094\pi$
$53$	3.83421	−	0.607279i	0.526669	−	0.0834162i	0.414107	+	0.910228i	$0.364094\pi$
$54$	−0.333835			−0.0454291
$55$	−7.35833	−	0.924675i	−0.992197	−	0.124683i
$56$	3.80542			0.508521
$57$	−7.46421	+	1.18222i	−0.988659	+	0.156588i
$58$	0.370996	+	0.728120i	0.0487141	+	0.0956068i
$59$	5.91367	−	1.92147i	0.769895	−	0.250154i	0.102375	−	0.994746i	$-0.467356\pi$
$59$	5.91367	−	1.92147i	0.769895	−	0.250154i	0.667520	+	0.744592i	$0.267356\pi$
$60$	−2.84976	+	3.11642i	−0.367902	+	0.402328i
$61$	2.56714	+	3.53337i	0.328689	+	0.452402i	0.941095	−	0.338142i	$-0.109798\pi$
$61$	2.56714	+	3.53337i	0.328689	+	0.452402i	−0.612406	+	0.790543i	$0.709798\pi$
$62$	−0.162695	−	0.0828974i	−0.0206623	−	0.0105280i
$63$	−2.61195	+	1.33085i	−0.329074	+	0.167672i
$64$	−3.20233	+	4.40762i	−0.400291	+	0.550953i
$65$	−6.81174	+	1.39319i	−0.844892	+	0.172804i
$66$	−0.992779	+	0.490196i	−0.122203	+	0.0603389i
$67$	10.1147	+	10.1147i	1.23570	+	1.23570i	0.961740	+	0.273965i	$0.0883351\pi$
$67$	10.1147	+	10.1147i	1.23570	+	1.23570i	0.273965	+	0.961740i	$0.411665\pi$
$68$	−1.16799	−	7.37438i	−0.141639	−	0.894274i
$69$	4.02978	+	1.30935i	0.485128	+	0.157628i
$70$	0.582610	−	2.10928i	0.0696352	−	0.252107i
$71$	13.2973	−	9.66108i	1.57810	−	1.14656i	0.659276	−	0.751901i	$-0.270863\pi$
$71$	13.2973	−	9.66108i	1.57810	−	1.14656i	0.918828	−	0.394658i	$-0.129137\pi$
$72$	−0.203073	+	1.28215i	−0.0239324	+	0.151103i
$73$	−0.427788	+	0.839582i	−0.0500688	+	0.0982656i	−0.914685	−	0.404167i	$-0.867561\pi$
$73$	−0.427788	+	0.839582i	−0.0500688	+	0.0982656i	0.864616	+	0.502433i	$0.167561\pi$
$74$	−0.763385	+	2.34946i	−0.0887417	+	0.273119i
$75$	2.65835	+	4.23476i	0.306960	+	0.488988i
$76$			14.2723i			1.63714i
$77$	−5.81337	+	7.79310i	−0.662495	+	0.888106i
$78$	−0.733987	+	0.733987i	−0.0831076	+	0.0831076i
$79$	−10.0930	−	7.33302i	−1.13556	−	0.825029i	−0.149061	−	0.988828i	$-0.547625\pi$
$79$	−10.0930	−	7.33302i	−1.13556	−	0.825029i	−0.986494	+	0.163799i	$0.947625\pi$
$80$	4.66049	+	5.84663i	0.521058	+	0.653673i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	2.40333	+	0.380649i	0.265403	+	0.0420357i
$83$	−4.72349	−	0.748127i	−0.518470	−	0.0821176i	−0.108285	−	0.994120i	$-0.534536\pi$
$83$	−4.72349	−	0.748127i	−0.518470	−	0.0821176i	−0.410185	+	0.912002i	$0.634536\pi$
$84$	1.71078	+	5.26525i	0.186662	+	0.574486i
$85$	−8.78438	−	0.991665i	−0.952799	−	0.107561i
$86$	−1.39150	−	1.01099i	−0.150049	−	0.109017i
$87$	−1.73091	+	1.73091i	−0.185574	+	0.185574i
$88$	1.27877	+	4.11113i	0.136318	+	0.438248i
$89$			2.68287i			0.284384i	0.989839	+	0.142192i	$0.0454150\pi$
$89$			2.68287i			0.284384i	−0.989839	+	0.142192i	$0.954585\pi$
$90$	0.679584	+	0.308857i	0.0716345	+	0.0325564i
$91$	−2.81668	+	8.66884i	−0.295268	+	0.908742i
$92$	3.63288	−	7.12993i	0.378754	−	0.743346i
$93$	0.0855648	−	0.540235i	0.00887265	−	0.0560197i
$94$	−2.14142	+	1.55583i	−0.220870	+	0.160472i
$95$	16.2886	+	4.49912i	1.67118	+	0.461600i
$96$	3.53082	+	1.14723i	0.360363	+	0.117089i
$97$	−1.64587	−	10.3916i	−0.167113	−	1.05511i	−0.918550	−	0.395304i	$-0.870639\pi$
$97$	−1.64587	−	10.3916i	−0.167113	−	1.05511i	0.751438	−	0.659804i	$-0.229361\pi$
$98$	−0.376139	−	0.376139i	−0.0379958	−	0.0379958i
$99$	−2.31549	−	2.37456i	−0.232715	−	0.238652i
$100$	8.68448	−	3.70753i	0.868448	−	0.370753i
$101$	−1.61930	+	2.22877i	−0.161126	+	0.221771i	−0.881945	−	0.471352i	$-0.843766\pi$
$101$	−1.61930	+	2.22877i	−0.161126	+	0.221771i	0.720819	+	0.693124i	$0.243766\pi$
$102$	−1.17595	+	0.599175i	−0.116436	+	0.0593272i
$103$	5.40120	+	2.75205i	0.532196	+	0.271168i	0.699370	−	0.714760i	$-0.253464\pi$
$103$	5.40120	+	2.75205i	0.532196	+	0.271168i	−0.167174	+	0.985927i	$0.553464\pi$
$104$	2.37252	+	3.26549i	0.232645	+	0.320208i
$105$	6.54839	−	0.292685i	0.639058	−	0.0285631i
$106$	−1.23252	+	0.400470i	−0.119713	+	0.0388971i
$107$	3.72446	+	7.30967i	0.360057	+	0.706652i	0.997985	−	0.0634436i	$-0.0202083\pi$
$107$	3.72446	+	7.30967i	0.360057	+	0.706652i	−0.637928	+	0.770096i	$0.720208\pi$
$108$	−1.86530	+	0.295435i	−0.179489	+	0.0284282i
$109$	−3.20101			−0.306601			−0.153300	−	0.988180i	$-0.548990\pi$
$109$	−3.20101			−0.306601			−0.153300	+	0.988180i	$0.548990\pi$
$110$	2.47451	−	0.0793875i	0.235935	−	0.00756930i
$111$	−7.39997			−0.702374
$112$	9.68136	−	1.53338i	0.914803	−	0.144891i
$113$	−2.85582	−	5.60487i	−0.268653	−	0.527262i	0.716785	−	0.697294i	$-0.245613\pi$
$113$	−2.85582	−	5.60487i	−0.268653	−	0.527262i	−0.985439	+	0.170032i	$0.945613\pi$
$114$	2.39940	−	0.779611i	0.224724	−	0.0730172i
$115$	−6.99200	−	6.39371i	−0.652007	−	0.596217i
$116$	2.71731	+	3.74005i	0.252296	+	0.347255i
$117$	−2.77046	−	1.41162i	−0.256130	−	0.130505i
$118$	−1.84954	+	0.942387i	−0.170264	+	0.0867537i
$119$	−6.81205	+	9.37598i	−0.624459	+	0.859495i
$120$	1.59962	−	2.42219i	0.146024	−	0.221114i
$121$	−10.3727	−	3.66161i	−0.942972	−	0.332873i
$122$	−1.03097	−	1.03097i	−0.0933400	−	0.0933400i
$123$	1.14023	+	7.19915i	0.102811	+	0.649126i
$124$	−0.982423	−	0.319208i	−0.0882242	−	0.0286658i
$125$	−1.49366	−	11.0801i	−0.133597	−	0.991036i
$126$	0.791721	−	0.575219i	0.0705321	−	0.0512446i
$127$	0.740592	−	4.67591i	0.0657169	−	0.414920i	−0.932796	−	0.360405i	$-0.882639\pi$
$127$	0.740592	−	4.67591i	0.0657169	−	0.414920i	0.998513	−	0.0545154i	$-0.0173614\pi$
$128$	4.19661	−	8.23631i	0.370931	−	0.727994i
$129$	1.59212	−	4.90006i	0.140179	−	0.431426i
$130$	2.17324	−	0.815100i	0.190606	−	0.0714890i
$131$		−	13.0853i		−	1.14327i	−0.820508	−	0.571636i	$-0.806309\pi$
$131$		−	13.0853i		−	1.14327i	0.820508	−	0.571636i	$-0.193691\pi$
$132$	−5.11335	+	3.61755i	−0.445060	+	0.314868i
$133$	15.6651	−	15.6651i	1.35833	−	1.35833i
$134$	−3.86328	−	2.80684i	−0.333736	−	0.242474i
$135$	−0.250836	+	2.22195i	−0.0215885	+	0.191235i
$136$	1.58591	+	4.88092i	0.135990	+	0.418535i
$137$	−14.7360	−	2.33396i	−1.25898	−	0.199403i	−0.508945	−	0.860799i	$-0.669965\pi$
$137$	−14.7360	−	2.33396i	−1.25898	−	0.199403i	−0.750037	+	0.661395i	$0.769965\pi$
$138$	−1.39710	−	0.221278i	−0.118929	−	0.0188364i
$139$	7.02078	+	21.6078i	0.595495	+	1.83275i	0.552246	+	0.833681i	$0.313771\pi$
$139$	7.02078	+	21.6078i	0.595495	+	1.83275i	0.0432494	+	0.999064i	$0.486229\pi$
$140$	1.38868	−	12.3012i	0.117365	−	1.03964i
$141$	−6.41461	−	4.66048i	−0.540207	−	0.392484i
$142$	−3.87993	+	3.87993i	−0.325596	+	0.325596i
$143$	−10.3118	−	0.129882i	−0.862314	−	0.0108613i
$144$			3.34375i			0.278646i
$145$	5.12502	−	1.92220i	0.425610	−	0.159630i
$146$	0.0972066	−	0.299171i	0.00804488	−	0.0247596i
$147$	0.723400	−	1.41975i	0.0596650	−	0.117099i
$148$	−2.18621	+	13.8032i	−0.179705	+	1.13461i
$149$	5.22864	−	3.79883i	0.428347	−	0.311212i	−0.352641	−	0.935759i	$-0.614716\pi$
$149$	5.22864	−	3.79883i	0.428347	−	0.311212i	0.780988	+	0.624547i	$0.214716\pi$
$150$	−1.09768	−	1.25748i	−0.0896248	−	0.102673i
$151$	−13.3544	−	4.33912i	−1.08677	−	0.353113i	−0.289772	−	0.957096i	$-0.593579\pi$
$151$	−13.3544	−	4.33912i	−1.08677	−	0.353113i	−0.796997	+	0.603983i	$0.793579\pi$
$152$	−1.53467	−	9.68955i	−0.124478	−	0.785926i
$153$	−2.79551	−	2.79551i	−0.226003	−	0.226003i
$154$	1.50983	−	2.87317i	0.121666	−	0.231527i
$155$	−0.673998	+	1.02059i	−0.0541368	+	0.0819756i
$156$	−3.45160	+	4.75071i	−0.276349	+	0.380362i
$157$	−0.500981	+	0.255262i	−0.0399826	+	0.0203722i	−0.473868	−	0.880596i	$-0.657142\pi$
$157$	−0.500981	+	0.255262i	−0.0399826	+	0.0203722i	0.433885	+	0.900968i	$0.357142\pi$
$158$	3.71088	+	1.89079i	0.295221	+	0.150423i
$159$	−2.28179	−	3.14061i	−0.180957	−	0.249066i
$160$	−6.12627	−	5.60206i	−0.484324	−	0.442882i
$161$	−11.8131	+	3.83831i	−0.931003	+	0.302501i
$162$	0.151558	+	0.297449i	0.0119075	+	0.0233698i
$163$	14.7156	−	2.33073i	1.15262	−	0.182557i	0.449265	−	0.893398i	$-0.351686\pi$
$163$	14.7156	−	2.33073i	1.15262	−	0.182557i	0.703352	+	0.710842i	$0.251686\pi$
$164$	13.7655			1.07490
$165$	2.51672	+	6.97611i	0.195926	+	0.543090i
$166$	1.59652			0.123914
$167$	−1.12924	+	0.178853i	−0.0873829	+	0.0138401i	−0.199973	−	0.979801i	$-0.564085\pi$
$167$	−1.12924	+	0.178853i	−0.0873829	+	0.0138401i	0.112590	+	0.993642i	$0.464085\pi$
$168$	−1.72763	−	3.39066i	−0.133289	−	0.261595i
$169$	3.16878	−	1.02960i	0.243752	−	0.0791998i
$170$	2.94821	−	0.131772i	0.226118	−	0.0101065i
$171$	4.44204	+	6.11395i	0.339692	+	0.467545i
$172$	−8.66972	−	4.41744i	−0.661060	−	0.336827i
$173$	12.7912	−	6.51745i	0.972498	−	0.495513i	0.105823	−	0.994385i	$-0.466252\pi$
$173$	12.7912	−	6.51745i	0.972498	−	0.495513i	0.866675	+	0.498872i	$0.166252\pi$
$174$	0.480331	−	0.661119i	0.0364138	−	0.0501193i
$175$	−13.6013	−	5.46263i	−1.02816	−	0.412936i
$176$	4.90989	+	9.94385i	0.370097	+	0.749546i
$177$	−4.39679	−	4.39679i	−0.330483	−	0.330483i
$178$	−0.140108	−	0.884609i	−0.0105016	−	0.0663042i
$179$	−5.47139	−	1.77776i	−0.408951	−	0.132876i	0.0973150	−	0.995254i	$-0.468975\pi$
$179$	−5.47139	−	1.77776i	−0.408951	−	0.132876i	−0.506266	+	0.862377i	$0.668975\pi$
$180$	4.07051	+	1.12433i	0.303398	+	0.0838024i
$181$	0.429978	−	0.312397i	0.0319600	−	0.0232203i	−0.571691	−	0.820469i	$-0.693712\pi$
$181$	0.429978	−	0.312397i	0.0319600	−	0.0232203i	0.603651	+	0.797249i	$0.293712\pi$
$182$	0.476013	−	3.00543i	0.0352844	−	0.222777i
$183$	1.98280	−	3.89146i	0.146573	−	0.287665i
$184$	−1.69972	+	5.23119i	−0.125305	+	0.385649i
$185$	15.0641	+	6.84631i	1.10753	+	0.503350i
$186$			0.182597i			0.0133887i
$187$	−12.4183	−	4.20860i	−0.908118	−	0.307763i
$188$	−10.5883	+	10.5883i	−0.772232	+	0.772232i
$189$	2.37160	+	1.72307i	0.172508	+	0.125335i
$190$	−5.60571	−	0.632827i	−0.406681	−	0.0459101i
$191$	−3.59972	−	11.0788i	−0.260466	−	0.801633i	−0.992703	−	0.120583i	$-0.961524\pi$
$191$	−3.59972	−	11.0788i	−0.260466	−	0.801633i	0.732237	−	0.681050i	$-0.238476\pi$
$192$	5.38105	+	0.852274i	0.388344	+	0.0615076i
$193$	−7.00699	−	1.10980i	−0.504374	−	0.0798850i	−0.100938	−	0.994893i	$-0.532184\pi$
$193$	−7.00699	−	1.10980i	−0.504374	−	0.0798850i	−0.403436	+	0.915008i	$0.632184\pi$
$194$	1.08537	+	3.34041i	0.0779248	+	0.239828i
$195$	4.33381	+	5.43681i	0.310350	+	0.389338i
$196$	−2.43455	−	1.76881i	−0.173897	−	0.126343i
$197$	−3.69749	+	3.69749i	−0.263436	+	0.263436i	−0.826448	−	0.563013i	$-0.809642\pi$
$197$	−3.69749	+	3.69749i	−0.263436	+	0.263436i	0.563013	+	0.826448i	$0.309642\pi$
$198$	0.887480	+	0.662028i	0.0630704	+	0.0470483i
$199$			12.6212i			0.894691i	0.894361	+	0.447346i	$0.147631\pi$
$199$			12.6212i			0.894691i	−0.894361	+	0.447346i	$0.852369\pi$
$200$	−5.49729	+	3.45089i	−0.388717	+	0.244015i
$201$	4.42028	−	13.6042i	0.311782	−	0.959567i
$202$	0.417529	−	0.819446i	0.0293772	−	0.0576561i
$203$	1.12255	−	7.08751i	0.0787877	−	0.497446i
$204$	−6.04036	+	4.38858i	−0.422910	+	0.307262i
$205$	4.33935	−	15.7102i	0.303073	−	1.09725i
$206$	−1.92463	−	0.625350i	−0.134095	−	0.0435702i
$207$	−0.662838	−	4.18499i	−0.0460704	−	0.290877i
$208$	7.35174	+	7.35174i	0.509751	+	0.509751i
$209$	22.1876	+	11.6594i	1.53475	+	0.806501i
$210$	−2.14388	+	0.438484i	−0.147942	+	0.0302583i
$211$	13.2802	−	18.2786i	0.914244	−	1.25835i	−0.0514528	−	0.998675i	$-0.516385\pi$
$211$	13.2802	−	18.2786i	0.914244	−	1.25835i	0.965697	−	0.259673i	$-0.0836148\pi$
$212$	−6.53231	+	3.32838i	−0.448641	+	0.228594i
$213$	−14.6450	−	7.46198i	−1.00346	−	0.511286i
$214$	−1.60978	−	2.21567i	−0.110042	−	0.151460i
$215$	−7.77451	+	8.50200i	−0.530217	+	0.579832i
$216$	1.23460	−	0.401146i	0.0840038	−	0.0272945i
$217$	0.727935	+	1.42865i	0.0494154	+	0.0969832i
$218$	1.05545	−	0.167167i	0.0714841	−	0.0113220i
$219$	0.942284			0.0636737
$220$	13.7561	−	2.63346i	0.927435	−	0.177548i
$221$	−12.2927			−0.826897
$222$	2.43995	−	0.386450i	0.163759	−	0.0259368i
$223$	3.80774	+	7.47312i	0.254985	+	0.500437i	0.982644	−	0.185503i	$-0.0593914\pi$
$223$	3.80774	+	7.47312i	0.254985	+	0.500437i	−0.727658	+	0.685940i	$0.759391\pi$
$224$	−10.3504	+	3.36306i	−0.691568	+	0.224704i
$225$	2.56633	−	4.29115i	0.171089	−	0.286076i
$226$	1.23434	+	1.69892i	0.0821071	+	0.113011i
$227$	2.10013	+	1.07007i	0.139390	+	0.0710229i	0.522295	−	0.852765i	$-0.325076\pi$
$227$	2.10013	+	1.07007i	0.139390	+	0.0710229i	−0.382904	+	0.923788i	$0.625076\pi$
$228$	12.7167	−	6.47948i	0.842184	−	0.429114i
$229$	−5.80469	+	7.98948i	−0.383585	+	0.527959i	−0.956530	−	0.291634i	$-0.905801\pi$
$229$	−5.80469	+	7.98948i	−0.383585	+	0.527959i	0.572945	+	0.819594i	$0.305801\pi$
$230$	2.63933	+	1.74302i	0.174032	+	0.114931i
$231$	9.58292	+	1.64176i	0.630510	+	0.108020i
$232$	−2.24696	−	2.24696i	−0.147520	−	0.147520i
$233$	4.34284	+	27.4196i	0.284509	+	1.79632i	0.553154	+	0.833079i	$0.313424\pi$
$233$	4.34284	+	27.4196i	0.284509	+	1.79632i	−0.268646	+	0.963239i	$0.586576\pi$
$234$	0.987210	+	0.320764i	0.0645359	+	0.0209690i
$235$	8.74637	+	15.4220i	0.570550	+	1.00602i
$236$	−9.50032	+	6.90239i	−0.618418	+	0.449307i
$237$	−1.95163	+	12.3221i	−0.126772	+	0.800405i
$238$	1.75646	−	3.44724i	0.113854	−	0.223451i
$239$	1.27603	−	3.92722i	0.0825395	−	0.254030i	−0.901267	−	0.433264i	$-0.857362\pi$
$239$	1.27603	−	3.92722i	0.0825395	−	0.254030i	0.983807	+	0.179234i	$0.0573618\pi$
$240$	3.09357	−	6.80684i	0.199689	−	0.439379i
$241$			13.9473i			0.898421i	0.893426	+	0.449211i	$0.148295\pi$
$241$			13.9473i			0.898421i	−0.893426	+	0.449211i	$0.851705\pi$
$242$	3.61135	+	0.665626i	0.232146	+	0.0427881i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	−6.67296	−	4.84819i	−0.427192	−	0.310373i
$245$	−2.78615	+	2.22090i	−0.178000	+	0.141888i
$246$	−0.751926	−	2.31419i	−0.0479411	−	0.147547i
$247$	23.2090	+	3.67594i	1.47675	+	0.233894i
$248$	0.701297	+	0.111075i	0.0445324	+	0.00705324i
$249$	1.47783	+	4.54830i	0.0936538	+	0.288237i
$250$	1.07114	+	3.57538i	0.0677446	+	0.226127i
$251$	7.24843	+	5.26629i	0.457517	+	0.332405i	0.792556	−	0.609799i	$-0.208750\pi$
$251$	7.24843	+	5.26629i	0.457517	+	0.332405i	−0.335040	+	0.942204i	$0.608750\pi$
$252$	3.91469	−	3.91469i	0.246602	−	0.246602i
$253$	−8.11634	−	11.4723i	−0.510270	−	0.721257i
$254$			1.58044i			0.0991656i
$255$	3.10444	+	8.27714i	0.194408	+	0.518335i
$256$	2.41353	−	7.42807i	0.150845	−	0.464255i
$257$	−11.7042	+	22.9707i	−0.730085	+	1.43287i	0.164685	+	0.986346i	$0.447339\pi$
$257$	−11.7042	+	22.9707i	−0.730085	+	1.43287i	−0.894770	+	0.446527i	$0.852661\pi$
$258$	−0.269066	+	1.69881i	−0.0167513	+	0.105764i
$259$	17.5497	−	12.7506i	1.09049	−	0.792286i
$260$	11.4217	−	6.47764i	0.708341	−	0.401726i
$261$	2.32808	+	0.756438i	0.144104	+	0.0468223i
$262$	0.683359	+	4.31456i	0.0422181	+	0.266554i
$263$	−10.4731	−	10.4731i	−0.645797	−	0.645797i	0.306177	−	0.951975i	$-0.400950\pi$
$263$	−10.4731	−	10.4731i	−0.645797	−	0.645797i	−0.951975	+	0.306177i	$0.900950\pi$
$264$	3.08250	−	3.00581i	0.189714	−	0.184995i
$265$	1.73938	+	8.50437i	0.106849	+	0.522420i
$266$	−4.34708	+	5.98324i	−0.266536	+	0.366856i
$267$	2.39046	−	1.21800i	0.146294	−	0.0745403i
$268$	−24.0701	−	12.2643i	−1.47031	−	0.749162i
$269$	−7.25198	−	9.98149i	−0.442161	−	0.608582i	0.528530	−	0.848915i	$-0.322743\pi$
$269$	−7.25198	−	9.98149i	−0.442161	−	0.608582i	−0.970691	+	0.240333i	$0.922743\pi$
$270$	−0.0333310	−	0.745732i	−0.00202846	−	0.0453838i
$271$	−20.6044	+	6.69478i	−1.25163	+	0.406679i	−0.858504	−	0.512806i	$-0.828606\pi$
$271$	−20.6044	+	6.69478i	−1.25163	+	0.406679i	−0.393125	+	0.919485i	$0.628606\pi$
$272$	6.00145	+	11.7785i	0.363891	+	0.714177i
$273$	9.00274	−	1.42589i	0.544871	−	0.0862990i
$274$	4.98071			0.300896
$275$	1.33090	−	16.5296i	0.0802562	−	0.996774i
$276$	−8.00210			−0.481670
$277$	19.0582	−	3.01853i	1.14510	−	0.181366i	0.445080	−	0.895491i	$-0.353175\pi$
$277$	19.0582	−	3.01853i	1.14510	−	0.181366i	0.700018	+	0.714125i	$0.253175\pi$
$278$	−3.44335	−	6.75796i	−0.206519	−	0.405315i
$279$	−0.520198	+	0.169023i	−0.0311435	+	0.0101191i
$280$	0.379944	+	8.50069i	0.0227060	+	0.508014i
$281$	12.8465	+	17.6817i	0.766357	+	1.05480i	0.996659	+	0.0816811i	$0.0260289\pi$
$281$	12.8465	+	17.6817i	0.766357	+	1.05480i	−0.230301	+	0.973119i	$0.573971\pi$
$282$	2.35844	+	1.20168i	0.140443	+	0.0715593i
$283$	−13.7091	+	6.98511i	−0.814919	+	0.415222i	−0.811198	−	0.584771i	$-0.801184\pi$
$283$	−13.7091	+	6.98511i	−0.814919	+	0.415222i	−0.00372067	+	0.999993i	$0.501184\pi$
$284$	−18.2455	+	25.1127i	−1.08267	+	1.49017i
$285$	−3.38613	−	16.5558i	−0.200577	−	0.980681i
$286$	3.40683	−	0.495689i	0.201450	−	0.0293107i
$287$	−15.1088	−	15.1088i	−0.891843	−	0.891843i
$288$	−0.580767	−	3.66682i	−0.0342220	−	0.216069i
$289$	1.30320	+	0.423435i	0.0766587	+	0.0249079i
$290$	−1.58946	+	0.901442i	−0.0933364	+	0.0529345i
$291$	−8.51178	+	6.18417i	−0.498969	+	0.362522i
$292$	0.278384	−	1.75765i	0.0162912	−	0.102858i
$293$	−9.82918	+	19.2908i	−0.574227	+	1.12698i	0.403082	+	0.915164i	$0.367939\pi$
$293$	−9.82918	+	19.2908i	−0.574227	+	1.12698i	−0.977309	+	0.211819i	$0.932061\pi$
$294$	−0.164379	+	0.505906i	−0.00958676	+	0.0295050i
$295$	4.88269	+	13.0183i	0.284281	+	0.757957i
$296$		−	9.60615i		−	0.558346i
$297$	−1.06454	+	3.14114i	−0.0617708	+	0.182267i
$298$	−1.52562	+	1.52562i	−0.0883770	+	0.0883770i
$299$	−10.6587	−	7.74400i	−0.616408	−	0.447847i
$300$	−7.24610	−	6.05474i	−0.418354	−	0.349571i
$301$	4.66724	+	14.3643i	0.269015	+	0.827944i
$302$	4.62989	+	0.733303i	0.266420	+	0.0421968i
$303$	2.72100	+	0.430964i	0.156317	+	0.0247582i
$304$	−7.80872	−	24.0328i	−0.447861	−	1.37837i
$305$	−7.63666	+	6.08736i	−0.437274	+	0.348561i
$306$	1.06774	+	0.775757i	0.0610385	+	0.0443471i
$307$	−4.02341	+	4.02341i	−0.229628	+	0.229628i	−0.812537	−	0.582909i	$-0.801914\pi$
$307$	−4.02341	+	4.02341i	−0.229628	+	0.229628i	0.582909	+	0.812537i	$0.301914\pi$
$308$	5.89351	−	17.3900i	0.335814	−	0.990888i
$309$		−	6.06191i		−	0.344850i
$310$	0.168935	−	0.371711i	0.00959488	−	0.0211118i
$311$	1.55192	−	4.77633i	0.0880016	−	0.270841i	−0.897365	−	0.441289i	$-0.854521\pi$
$311$	1.55192	−	4.77633i	0.0880016	−	0.270841i	0.985367	+	0.170448i	$0.0545214\pi$
$312$	1.83247	−	3.59643i	0.103743	−	0.203608i
$313$	1.90217	−	12.0098i	0.107517	−	0.678834i	−0.873778	−	0.486325i	$-0.838337\pi$
$313$	1.90217	−	12.0098i	0.107517	−	0.678834i	0.981295	−	0.192510i	$-0.0616627\pi$
$314$	0.151855	−	0.110329i	0.00856967	−	0.00622623i
$315$	−3.23369	−	5.70179i	−0.182198	−	0.321259i
$316$	22.4078	+	7.28075i	1.26054	+	0.409574i
$317$	−3.26949	−	20.6428i	−0.183633	−	1.15941i	−0.891484	−	0.453051i	$-0.850335\pi$
$317$	−3.26949	−	20.6428i	−0.183633	−	1.15941i	0.707851	−	0.706361i	$-0.249665\pi$
$318$	0.916374	+	0.916374i	0.0513877	+	0.0513877i
$319$	8.03412	−	1.16895i	0.449824	−	0.0654488i
$320$	−10.1656	−	6.71341i	−0.568277	−	0.375291i
$321$	4.82209	−	6.63704i	0.269143	−	0.370443i
$322$	3.69462	−	1.88250i	0.205893	−	0.104908i
$323$	26.6208	+	13.5640i	1.48122	+	0.754719i
$324$	1.11006	+	1.52787i	0.0616702	+	0.0848818i
$325$	−3.79227	−	15.0772i	−0.210357	−	0.836334i
$326$	−4.73039	+	1.53700i	−0.261992	+	0.0851264i
$327$	1.45323	+	2.85212i	0.0803636	+	0.157722i
$328$	−9.34546	+	1.48018i	−0.516017	+	0.0817291i
$329$	23.2432			1.28144
$330$	−1.19414	−	2.16876i	−0.0657352	−	0.119387i
$331$	23.8875			1.31298			0.656488	−	0.754337i	$-0.272041\pi$
$331$	23.8875			1.31298			0.656488	+	0.754337i	$0.272041\pi$
$332$	8.92056	−	1.41288i	0.489579	−	0.0775418i
$333$	3.35951	+	6.59342i	0.184100	+	0.361317i
$334$	0.362996	−	0.117945i	0.0198623	−	0.00645365i
$335$	−21.5847	+	23.6044i	−1.17930	+	1.28965i
$336$	−5.76150	−	7.93002i	−0.314315	−	0.432618i
$337$	−25.0775	−	12.7776i	−1.36606	−	0.696041i	−0.391499	−	0.920178i	$-0.628043\pi$
$337$	−25.0775	−	12.7776i	−1.36606	−	0.696041i	−0.974557	+	0.224138i	$0.928043\pi$
$338$	−0.991055	+	0.504968i	−0.0539063	+	0.0274666i
$339$	−3.69746	+	5.08912i	−0.200818	+	0.276403i
$340$	16.3565	−	3.34537i	0.887058	−	0.181428i
$341$	−1.29881	+	1.26650i	−0.0703345	+	0.0685847i
$342$	−1.78394	−	1.78394i	−0.0964645	−	0.0964645i
$343$	−2.47935	−	15.6540i	−0.133872	−	0.845236i
$344$	6.36093	+	2.06679i	0.342958	+	0.111434i
$345$	−2.52254	+	9.13260i	−0.135809	+	0.491683i
$346$	−3.87722	+	2.81696i	−0.208440	+	0.151441i
$347$	4.55166	−	28.7380i	0.244346	−	1.54274i	−0.494689	−	0.869070i	$-0.664718\pi$
$347$	4.55166	−	28.7380i	0.244346	−	1.54274i	0.739034	−	0.673668i	$-0.235282\pi$
$348$	2.09878	−	4.11909i	0.112506	−	0.220806i
$349$	−4.02181	+	12.3778i	−0.215282	+	0.662571i	0.783851	+	0.620949i	$0.213253\pi$
$349$	−4.02181	+	12.3778i	−0.215282	+	0.662571i	−0.999133	+	0.0416220i	$0.986747\pi$
$350$	4.76996	+	1.09086i	0.254965	+	0.0583089i
$351$			3.10937i			0.165966i
$352$	−7.11140	−	10.0518i	−0.379039	−	0.535765i
$353$	2.83037	−	2.83037i	0.150645	−	0.150645i	−0.627761	−	0.778406i	$-0.716028\pi$
$353$	2.83037	−	2.83037i	0.150645	−	0.150645i	0.778406	+	0.627761i	$0.216028\pi$
$354$	1.67935	+	1.22012i	0.0892562	+	0.0648484i
$355$	22.9089	+	28.7395i	1.21588	+	1.52533i
$356$	−1.56571	−	4.81877i	−0.0829826	−	0.255394i
$357$	11.4467	+	1.81297i	0.605822	+	0.0959527i
$358$	1.89689	+	0.300438i	0.100254	+	0.0158787i
$359$	−5.42818	−	16.7062i	−0.286489	−	0.881721i	−0.985949	−	0.167049i	$-0.946576\pi$
$359$	−5.42818	−	16.7062i	−0.286489	−	0.881721i	0.699460	−	0.714672i	$-0.253424\pi$
$360$	−2.88439	−	0.325618i	−0.152021	−	0.0171616i
$361$	−30.8333	−	22.4017i	−1.62281	−	1.17904i
$362$	−0.125460	+	0.125460i	−0.00659403	+	0.00659403i
$363$	1.44659	+	10.9045i	0.0759261	+	0.572336i
$364$		−	17.2141i		−	0.902264i
$365$	−1.91820	−	0.871783i	−0.100403	−	0.0456312i
$366$	−0.450552	+	1.38666i	−0.0235507	+	0.0724817i
$367$	−10.3388	+	20.2910i	−0.539679	+	1.05918i	0.446699	+	0.894685i	$0.352600\pi$
$367$	−10.3388	+	20.2910i	−0.539679	+	1.05918i	−0.986378	+	0.164496i	$0.947400\pi$
$368$	−2.21636	+	13.9936i	−0.115536	+	0.729464i
$369$	5.89684	−	4.28430i	0.306977	−	0.223032i
$370$	−5.32452	−	1.47070i	−0.276809	−	0.0764581i
$371$	10.8229	+	3.51659i	0.561900	+	0.182572i
$372$	0.161594	+	1.02026i	0.00837824	+	0.0528982i
$373$	5.03142	+	5.03142i	0.260517	+	0.260517i	0.825264	−	0.564747i	$-0.191026\pi$
$373$	5.03142	+	5.03142i	0.260517	+	0.260517i	−0.564747	+	0.825264i	$0.691026\pi$
$374$	4.31441	+	0.739153i	0.223093	+	0.0382207i
$375$	−9.19435	+	6.36113i	−0.474794	+	0.328487i
$376$	6.04993	−	8.32702i	0.312001	−	0.429433i
$377$	6.78177	−	3.45549i	0.349279	−	0.177967i
$378$	−0.871958	−	0.444285i	−0.0448487	−	0.0228515i
$379$	−15.6803	−	21.5820i	−0.805442	−	1.10860i	−0.992011	−	0.126153i	$-0.959737\pi$
$379$	−15.6803	−	21.5820i	−0.805442	−	1.10860i	0.186569	−	0.982442i	$-0.440263\pi$
$380$	−31.8820	+	1.42499i	−1.63551	+	0.0731002i
$381$	−4.50249	+	1.46295i	−0.230669	+	0.0749491i
$382$	1.76549	+	3.46496i	0.0903301	+	0.177283i
$383$	3.28303	−	0.519980i	0.167755	−	0.0265697i	−0.0719920	−	0.997405i	$-0.522936\pi$
$383$	3.28303	−	0.519980i	0.167755	−	0.0265697i	0.239747	+	0.970835i	$0.422936\pi$
$384$	−9.24383			−0.471722
$385$	−17.9889	−	12.2080i	−0.916801	−	0.622180i
$386$	2.36833			0.120545
$387$	−5.08879	+	0.805985i	−0.258678	+	0.0409705i
$388$	9.02067	+	17.7041i	0.457955	+	0.898788i
$389$	−20.3569	+	6.61437i	−1.03214	+	0.335362i	−0.775635	−	0.631182i	$-0.782570\pi$
$389$	−20.3569	+	6.61437i	−1.03214	+	0.335362i	−0.256503	+	0.966544i	$0.582570\pi$
$390$	−1.71289	−	1.56632i	−0.0867356	−	0.0793139i
$391$	−9.84621	−	13.5522i	−0.497944	−	0.685362i
$392$	1.84303	+	0.939070i	0.0930871	+	0.0474302i
$393$	−11.6591	+	5.94062i	−0.588125	+	0.299665i
$394$	1.02606	−	1.41225i	0.0516921	−	0.0711481i
$395$	15.3731	−	23.2784i	0.773502	−	1.17126i
$396$	5.54468	+	2.91369i	0.278630	+	0.146418i
$397$	1.54454	+	1.54454i	0.0775180	+	0.0775180i	0.744803	−	0.667285i	$-0.232544\pi$
$397$	1.54454	+	1.54454i	0.0775180	+	0.0775180i	−0.667285	+	0.744803i	$0.732544\pi$
$398$	−0.659119	−	4.16151i	−0.0330386	−	0.208598i
$399$	−21.0695	−	6.84589i	−1.05479	−	0.342723i
$400$	−12.5951	+	10.9945i	−0.629755	+	0.549726i
$401$	24.3184	−	17.6684i	1.21440	−	0.882316i	0.218781	−	0.975774i	$-0.429792\pi$
$401$	24.3184	−	17.6684i	1.21440	−	0.882316i	0.995623	+	0.0934579i	$0.0297921\pi$
$402$	−0.747018	+	4.71648i	−0.0372579	+	0.235237i
$403$	−0.772113	+	1.51536i	−0.0384617	+	0.0754853i
$404$	1.60776	−	4.94816i	0.0799889	−	0.246180i
$405$	2.09365	−	0.785250i	0.104034	−	0.0390194i
$406$			2.39555i			0.118889i
$407$	19.6724	+	14.6749i	0.975123	+	0.727407i
$408$	3.62895	−	3.62895i	0.179660	−	0.179660i
$409$	−2.86239	−	2.07965i	−0.141536	−	0.102832i	0.514764	−	0.857332i	$-0.327880\pi$
$409$	−2.86239	−	2.07965i	−0.141536	−	0.102832i	−0.656300	+	0.754500i	$0.727880\pi$
$410$	−0.610354	+	5.40665i	−0.0301432	+	0.267015i
$411$	4.61044	+	14.1895i	0.227416	+	0.699915i
$412$	−11.3073	−	1.79090i	−0.557071	−	0.0882314i
$413$	18.0034	+	2.85146i	0.885889	+	0.140311i
$414$	0.437108	+	1.34528i	0.0214827	+	0.0661169i
$415$	1.19959	−	10.6262i	0.0588854	−	0.521620i
$416$	−9.33897	−	6.78516i	−0.457881	−	0.332670i
$417$	16.0653	−	16.0653i	0.786720	−	0.786720i
$418$	−7.92470	−	2.68570i	−0.387610	−	0.131362i
$419$		−	21.3968i		−	1.04530i	−0.852546	−	0.522652i	$-0.824943\pi$
$419$		−	21.3968i		−	1.04530i	0.852546	−	0.522652i	$-0.175057\pi$
$420$	−11.5909	+	4.34731i	−0.565578	+	0.212127i
$421$	−4.46486	+	13.7414i	−0.217604	+	0.669717i	0.781354	+	0.624088i	$0.214529\pi$
$421$	−4.46486	+	13.7414i	−0.217604	+	0.669717i	−0.998958	+	0.0456291i	$0.985471\pi$
$422$	−3.42423	+	6.72043i	−0.166689	+	0.327145i
$423$	−1.24035	+	7.83127i	−0.0603079	+	0.380769i
$424$	4.07693	−	2.96206i	0.197993	−	0.143851i
$425$	1.33816	−	19.7219i	0.0649104	−	0.956652i
$426$	5.21849	+	1.69559i	0.252837	+	0.0821516i
$427$	2.00284	+	12.6455i	0.0969244	+	0.611956i
$428$	−10.9555	−	10.9555i	−0.529553	−	0.529553i
$429$	4.56572	+	9.24683i	0.220435	+	0.446441i
$430$	2.11945	−	3.20933i	0.102209	−	0.154768i
$431$	11.0506	−	15.2099i	0.532290	−	0.732634i	−0.455187	−	0.890396i	$-0.650428\pi$
$431$	11.0506	−	15.2099i	0.532290	−	0.732634i	0.987477	+	0.157762i	$0.0504278\pi$
$432$	2.97930	−	1.51803i	0.143342	−	0.0730362i
$433$	13.8786	+	7.07150i	0.666963	+	0.339834i	0.754475	−	0.656329i	$-0.227892\pi$
$433$	13.8786	+	7.07150i	0.666963	+	0.339834i	−0.0875121	+	0.996163i	$0.527892\pi$
$434$	−0.314627	−	0.433047i	−0.0151026	−	0.0207869i
$435$	−4.03940	−	3.69376i	−0.193675	−	0.177102i
$436$	5.74940	−	1.86809i	0.275346	−	0.0894654i
$437$	14.5374	+	28.5312i	0.695416	+	1.36483i
$438$	−0.310694	+	0.0492091i	−0.0148455	+	0.00235130i
$439$	−4.56166			−0.217716			−0.108858	−	0.994057i	$-0.534719\pi$
$439$	−4.56166			−0.217716			−0.108858	+	0.994057i	$0.534719\pi$
$440$	−9.05593	+	3.26704i	−0.431724	+	0.155750i
$441$	−1.59343			−0.0758774
$442$	4.05321	−	0.641965i	0.192791	−	0.0305352i
$443$	−3.14909	−	6.18044i	−0.149618	−	0.293641i	0.804018	−	0.594605i	$-0.202692\pi$
$443$	−3.14909	−	6.18044i	−0.149618	−	0.293641i	−0.953636	+	0.300964i	$0.902692\pi$
$444$	13.2912	−	4.31859i	0.630775	−	0.204951i
$445$	−5.99310	+	0.267866i	−0.284100	+	0.0126980i
$446$	−1.64578	−	2.26522i	−0.0779298	−	0.107261i
$447$	−5.75854	−	2.93412i	−0.272369	−	0.138779i
$448$	−14.2302	+	7.25065i	−0.672314	+	0.342561i
$449$	9.07145	−	12.4858i	0.428108	−	0.589240i	−0.539409	−	0.842044i	$-0.681352\pi$
$449$	9.07145	−	12.4858i	0.428108	−	0.589240i	0.967518	+	0.252803i	$0.0813525\pi$
$450$	−0.622085	+	1.54892i	−0.0293254	+	0.0730167i
$451$	11.2454	−	21.3997i	0.529526	−	1.00767i
$452$	8.40038	+	8.40038i	0.395121	+	0.395121i
$453$	2.19660	+	13.8688i	0.103205	+	0.651614i
$454$	−0.748346	−	0.243152i	−0.0351216	−	0.0114117i
$455$	−19.6460	−	5.42648i	−0.921020	−	0.254397i
$456$	−7.93672	+	5.76637i	−0.371671	+	0.270035i
$457$	−5.24339	+	33.1055i	−0.245275	+	1.54861i	0.490536	+	0.871421i	$0.336801\pi$
$457$	−5.24339	+	33.1055i	−0.245275	+	1.54861i	−0.735811	+	0.677187i	$0.763199\pi$
$458$	1.49671	−	2.93747i	0.0699369	−	0.137259i
$459$	−1.22168	+	3.75995i	−0.0570232	+	0.175499i
$460$	16.2898	+	7.40339i	0.759517	+	0.345185i
$461$			24.2466i			1.12927i	0.825339	+	0.564637i	$0.190984\pi$
$461$			24.2466i			1.12927i	−0.825339	+	0.564637i	$0.809016\pi$
$462$	−3.24546	−	0.0408782i	−0.150993	−	0.00190183i
$463$	−0.598555	+	0.598555i	−0.0278172	+	0.0278172i	−0.720879	−	0.693061i	$-0.756261\pi$
$463$	−0.598555	+	0.598555i	−0.0278172	+	0.0278172i	0.693061	+	0.720879i	$0.256261\pi$
$464$	−6.62189	−	4.81108i	−0.307413	−	0.223349i
$465$	1.21534	+	0.137199i	0.0563600	+	0.00636246i
$466$	−2.86388	−	8.81412i	−0.132667	−	0.408306i
$467$	1.73200	+	0.274321i	0.0801472	+	0.0126941i	0.196379	−	0.980528i	$-0.437082\pi$
$467$	1.73200	+	0.274321i	0.0801472	+	0.0126941i	−0.116232	+	0.993222i	$0.537082\pi$
$468$	5.79991	+	0.918615i	0.268101	+	0.0424630i
$469$	12.9578	+	39.8801i	0.598337	+	1.84149i
$470$	−3.68928	−	4.62824i	−0.170174	−	0.213485i
$471$	0.454881	+	0.330490i	0.0209598	+	0.0152282i
$472$	5.70763	−	5.70763i	0.262715	−	0.262715i
$473$	−13.9499	+	9.86916i	−0.641416	+	0.453784i
$474$		−	4.16481i		−	0.191296i
$475$	−8.42400	+	36.8353i	−0.386520	+	1.69012i
$476$	6.76349	−	20.8159i	0.310004	−	0.954094i
$477$	−1.76239	+	3.45889i	−0.0806945	+	0.158372i
$478$	−0.215646	+	1.36154i	−0.00986344	+	0.0622753i
$479$	5.98285	−	4.34679i	0.273363	−	0.198610i	−0.442654	−	0.896692i	$-0.645963\pi$
$479$	5.98285	−	4.34679i	0.273363	−	0.198610i	0.716017	+	0.698082i	$0.245963\pi$
$480$	−2.21021	+	8.00183i	−0.100882	+	0.365232i
$481$	21.8830	+	7.11023i	0.997781	+	0.324199i
$482$	−0.728371	−	4.59875i	−0.0331764	−	0.209467i
$483$	8.78300	+	8.78300i	0.399640	+	0.399640i
$484$	20.7675	+	0.523237i	0.943978	+	0.0237835i
$485$	23.0488	−	4.71413i	1.04659	−	0.214058i
$486$	0.196223	−	0.270078i	0.00890086	−	0.0122510i
$487$	−0.697237	+	0.355260i	−0.0315948	+	0.0160984i	−0.469717	−	0.882817i	$-0.655644\pi$
$487$	−0.697237	+	0.355260i	−0.0315948	+	0.0160984i	0.438122	+	0.898916i	$0.355644\pi$
$488$	5.05163	+	2.57394i	0.228677	+	0.116517i
$489$	−8.75745	−	12.0536i	−0.396026	−	0.545083i
$490$	0.802679	−	0.877788i	0.0362613	−	0.0396544i
$491$	−3.78409	+	1.22953i	−0.170774	+	0.0554877i	−0.393156	−	0.919472i	$-0.628617\pi$
$491$	−3.78409	+	1.22953i	−0.170774	+	0.0554877i	0.222382	+	0.974960i	$0.428617\pi$
$492$	−6.24939	−	12.2651i	−0.281744	−	0.552954i
$493$	9.55843	−	1.51391i	0.430490	−	0.0681829i
$494$	−7.84454			−0.352942
$495$	5.07319	−	5.40950i	0.228023	−	0.243139i
$496$	1.82893			0.0821212
$497$	47.5894	−	7.53742i	2.13468	−	0.338099i
$498$	−0.724804	−	1.42251i	−0.0324793	−	0.0637441i
$499$	17.2715	−	5.61187i	0.773181	−	0.251222i	0.104255	−	0.994551i	$-0.466754\pi$
$499$	17.2715	−	5.61187i	0.773181	−	0.251222i	0.668926	+	0.743329i	$0.266754\pi$
$500$	9.14910	+	19.0295i	0.409160	+	0.851027i
$501$	0.672022	+	0.924958i	0.0300237	+	0.0413241i
$502$	−2.66501	−	1.35789i	−0.118945	−	0.0606055i
$503$	−21.8595	+	11.1380i	−0.974669	+	0.496618i	−0.867400	−	0.497612i	$-0.834211\pi$
$503$	−21.8595	+	11.1380i	−0.974669	+	0.496618i	−0.107269	+	0.994230i	$0.534211\pi$
$504$	−2.23677	+	3.07865i	−0.0996337	+	0.137134i
$505$	−5.14039	−	3.39472i	−0.228745	−	0.151063i
$506$	3.27528	+	3.35884i	0.145604	+	0.149319i
$507$	−2.35597	−	2.35597i	−0.104632	−	0.104632i
$508$	1.39865	+	8.83071i	0.0620549	+	0.391800i
$509$	−22.3271	−	7.25451i	−0.989631	−	0.321550i	−0.230916	−	0.972974i	$-0.574172\pi$
$509$	−22.3271	−	7.25451i	−0.989631	−	0.321550i	−0.758715	+	0.651423i	$0.774172\pi$
$510$	−1.45587	−	2.56705i	−0.0644670	−	0.113671i
$511$	−2.23472	+	1.62362i	−0.0988581	+	0.0718246i
$512$	−3.29999	+	20.8353i	−0.145840	+	0.920799i
$513$	3.43092	−	6.73356i	0.151479	−	0.297294i
$514$	2.65954	−	8.18524i	0.117307	−	0.361035i
$515$	−5.60836	+	12.3402i	−0.247134	+	0.543774i
$516$			9.73025i			0.428351i
$517$	7.81063	+	25.1104i	0.343511	+	1.10436i
$518$	−5.12070	+	5.12070i	−0.224991	+	0.224991i
$519$	−11.6142	−	8.43820i	−0.509806	−	0.370396i
$520$	−7.05771	+	5.62586i	−0.309501	+	0.246710i
$521$	8.89293	+	27.3696i	0.389606	+	1.19908i	0.933083	+	0.359661i	$0.117108\pi$
$521$	8.89293	+	27.3696i	0.389606	+	1.19908i	−0.543477	+	0.839424i	$0.682892\pi$
$522$	−0.807127	−	0.127836i	−0.0353270	−	0.00559525i
$523$	−15.5134	−	2.45709i	−0.678355	−	0.107441i	−0.192256	−	0.981345i	$-0.561581\pi$
$523$	−15.5134	−	2.45709i	−0.678355	−	0.107441i	−0.486099	+	0.873904i	$0.661581\pi$
$524$	7.63654	+	23.5029i	0.333604	+	1.02673i
$525$	1.30762	+	14.5988i	0.0570692	+	0.637145i
$526$	4.00017	+	2.90629i	0.174416	+	0.126720i
$527$	−1.52906	+	1.52906i	−0.0666067	+	0.0666067i
$528$	6.63099	−	8.88915i	0.288577	−	0.386851i
$529$			5.04649i			0.219412i
$530$	−1.01764	−	2.71327i	−0.0442036	−	0.117857i
$531$	−1.92147	+	5.91367i	−0.0833847	+	0.256632i
$532$	−18.9943	+	37.2784i	−0.823508	+	1.61623i
$533$	3.54540	−	22.3848i	0.153568	−	0.969593i
$534$	−0.724585	+	0.526441i	−0.0313558	+	0.0227813i
$535$	−15.9568	+	9.04966i	−0.689871	+	0.391251i
$536$	17.6601	+	5.73811i	0.762800	+	0.247849i
$537$	0.899961	+	5.68213i	0.0388362	+	0.245202i
$538$	2.91242	+	2.91242i	0.125563	+	0.125563i
$539$	−4.73863	+	2.33975i	−0.204107	+	0.100780i
$540$	−0.846191	−	4.13729i	−0.0364143	−	0.178041i
$541$	13.0398	−	17.9477i	0.560623	−	0.771631i	−0.430783	−	0.902456i	$-0.641762\pi$
$541$	13.0398	−	17.9477i	0.560623	−	0.771631i	0.991406	+	0.130824i	$0.0417624\pi$
$542$	6.44416	−	3.28346i	0.276800	−	0.141037i
$543$	−0.473554	−	0.241288i	−0.0203222	−	0.0103547i
$544$	−8.62709	−	11.8742i	−0.369883	−	0.509101i
$545$	−0.319597	−	7.15053i	−0.0136901	−	0.306295i
$546$	−2.89396	+	0.940305i	−0.123850	+	0.0402413i
$547$	−7.16388	−	14.0599i	−0.306305	−	0.601158i	0.685623	−	0.727957i	$-0.259530\pi$
$547$	−7.16388	−	14.0599i	−0.306305	−	0.601158i	−0.991928	+	0.126798i	$0.959530\pi$
$548$	27.8298	−	4.40780i	1.18883	−	0.188292i
$549$	−4.36748			−0.186400
$550$	0.424401	+	5.51973i	0.0180965	+	0.235362i
$551$	−18.4993			−0.788096
$552$	5.43268	−	0.860452i	0.231230	−	0.0366233i
$553$	−16.6033	−	32.5858i	−0.706044	−	1.38569i
$554$	−6.12633	+	1.99057i	−0.260283	+	0.0845710i
$555$	−0.738834	−	16.5303i	−0.0313617	−	0.701673i
$556$	−25.2204	−	34.7129i	−1.06958	−	1.47215i
$557$	−39.3718	−	20.0609i	−1.66824	−	0.850010i	−0.993738	−	0.111734i	$-0.964359\pi$
$557$	−39.3718	−	20.0609i	−1.66824	−	0.850010i	−0.674500	−	0.738275i	$-0.735641\pi$
$558$	0.162695	−	0.0828974i	0.00688744	−	0.00350933i
$559$	−9.41640	+	12.9606i	−0.398271	+	0.548174i
$560$	4.39193	+	21.4735i	0.185593	+	0.907421i
$561$	1.88791	+	12.9755i	0.0797078	+	0.547825i
$562$	−5.15920	−	5.15920i	−0.217628	−	0.217628i
$563$	1.13998	+	7.19754i	0.0480444	+	0.303340i	0.999996	−	0.00290887i	$-0.000925924\pi$
$563$	1.13998	+	7.19754i	0.0480444	+	0.303340i	−0.951951	+	0.306249i	$0.900926\pi$
$564$	14.2412	+	4.62726i	0.599665	+	0.194843i
$565$	12.2352	−	6.93905i	0.514740	−	0.291928i
$566$	4.15543	−	3.01910i	0.174666	−	0.126902i
$567$	0.458581	−	2.89536i	0.0192586	−	0.121594i
$568$	9.68665	−	19.0111i	0.406443	−	0.797689i
$569$	1.13439	−	3.49129i	0.0475561	−	0.146362i	−0.924459	−	0.381282i	$-0.875483\pi$
$569$	1.13439	−	3.49129i	0.0475561	−	0.146362i	0.972015	+	0.234920i	$0.0754827\pi$
$570$	1.98109	+	5.28202i	0.0829786	+	0.221240i
$571$			10.4310i			0.436524i	0.975890	+	0.218262i	$0.0700387\pi$
$571$			10.4310i			0.436524i	−0.975890	+	0.218262i	$0.929961\pi$
$572$	18.5970	−	5.78462i	0.777580	−	0.241867i
$573$	−8.23704	+	8.23704i	−0.344107	+	0.344107i
$574$	5.77077	+	4.19271i	0.240867	+	0.175000i
$575$	13.5844	−	16.2574i	0.566509	−	0.677978i
$576$	−1.68356	−	5.18147i	−0.0701484	−	0.215895i
$577$	10.5897	+	1.67724i	0.440855	+	0.0698246i	0.372916	−	0.927865i	$-0.378358\pi$
$577$	10.5897	+	1.67724i	0.440855	+	0.0698246i	0.0679386	+	0.997690i	$0.478358\pi$
$578$	−0.451810	−	0.0715596i	−0.0187928	−	0.00297649i
$579$	2.19227	+	6.74711i	0.0911076	+	0.280400i
$580$	−8.08337	+	6.44344i	−0.335644	+	0.267549i
$581$	−11.3418	−	8.24033i	−0.470539	−	0.341866i
$582$	2.48359	−	2.48359i	0.102948	−	0.102948i
$583$	−0.162156	+	12.8741i	−0.00671582	+	0.533192i
$584$			1.22321i			0.0506169i
$585$	2.87672	−	6.32971i	0.118938	−	0.261701i
$586$	2.23349	−	6.87398i	0.0922646	−	0.283961i
$587$	21.5508	−	42.2958i	0.889495	−	1.74573i	0.265871	−	0.964008i	$-0.414340\pi$
$587$	21.5508	−	42.2958i	0.889495	−	1.74573i	0.623624	−	0.781724i	$-0.285660\pi$
$588$	−0.470754	+	2.97222i	−0.0194136	+	0.122572i
$589$	3.34414	−	2.42966i	0.137793	−	0.100112i
$590$	−2.28980	−	4.03748i	−0.0942697	−	0.166220i
$591$	4.97312	+	1.61586i	0.204567	+	0.0664678i
$592$	−3.87075	−	24.4390i	−0.159087	−	1.00444i
$593$	−31.8039	−	31.8039i	−1.30603	−	1.30603i	−0.924256	−	0.381774i	$-0.875313\pi$
$593$	−31.8039	−	31.8039i	−1.30603	−	1.30603i	−0.381774	−	0.924256i	$-0.624687\pi$
$594$	0.186964	−	1.09130i	0.00767123	−	0.0447768i
$595$	−21.6246	−	14.2809i	−0.886520	−	0.585459i
$596$	−7.17430	+	9.87457i	−0.293871	+	0.404478i
$597$	11.2455	−	5.72989i	0.460250	−	0.234509i
$598$	3.91885	+	1.99675i	0.160254	+	0.0816534i
$599$	−21.5320	−	29.6363i	−0.879775	−	1.21091i	−0.976483	−	0.215593i	$-0.930831\pi$
$599$	−21.5320	−	29.6363i	−0.879775	−	1.21091i	0.0967086	−	0.995313i	$-0.469169\pi$
$600$	5.57048	+	3.33144i	0.227414	+	0.136006i
$601$	8.39298	−	2.72705i	0.342357	−	0.111239i	−0.132792	−	0.991144i	$-0.542394\pi$
$601$	8.39298	−	2.72705i	0.342357	−	0.111239i	0.475149	+	0.879905i	$0.342394\pi$
$602$	−2.28905	−	4.49252i	−0.0932949	−	0.183101i
$603$	−14.1282	+	2.23769i	−0.575345	+	0.0911257i
$604$	26.5185			1.07902
$605$	7.14379	−	23.5365i	0.290437	−	0.956894i
$606$	−0.919686			−0.0373597
$607$	−32.2599	+	5.10946i	−1.30939	+	0.207387i	−0.771824	−	0.635837i	$-0.780655\pi$
$607$	−32.2599	+	5.10946i	−1.30939	+	0.207387i	−0.537564	+	0.843223i	$0.680655\pi$
$608$	12.7374	+	24.9985i	0.516569	+	1.01382i
$609$	−6.82465	+	2.21746i	−0.276549	+	0.0898561i
$610$	2.20009	−	2.40596i	0.0890792	−	0.0974146i
$611$	14.4911	+	19.9453i	0.586249	+	0.806902i
$612$	6.65252	+	3.38963i	0.268912	+	0.137018i
$613$	4.86787	−	2.48031i	0.196612	−	0.100179i	−0.352913	−	0.935656i	$-0.614809\pi$
$613$	4.86787	−	2.48031i	0.196612	−	0.100179i	0.549525	+	0.835478i	$0.314809\pi$
$614$	1.11650	−	1.53673i	0.0450583	−	0.0620175i
$615$	−15.9679	+	3.26588i	−0.643888	+	0.131693i
$616$	−2.13123	+	12.4399i	−0.0858696	+	0.501218i
$617$	−6.95047	−	6.95047i	−0.279815	−	0.279815i	0.553220	−	0.833035i	$-0.313399\pi$
$617$	−6.95047	−	6.95047i	−0.279815	−	0.279815i	−0.833035	+	0.553220i	$0.813399\pi$
$618$	0.316573	+	1.99876i	0.0127344	+	0.0804020i
$619$	−39.2573	−	12.7555i	−1.57788	−	0.512685i	−0.616373	−	0.787454i	$-0.711399\pi$
$619$	−39.2573	−	12.7555i	−1.57788	−	0.512685i	−0.961510	+	0.274769i	$0.911399\pi$
$620$	0.614972	−	2.22644i	0.0246979	−	0.0894161i
$621$	−3.42793	+	2.49054i	−0.137558	+	0.0999419i
$622$	−0.262272	+	1.65592i	−0.0105162	+	0.0663964i
$623$	−3.57051	+	7.00752i	−0.143049	+	0.280750i
$624$	3.21283	−	9.88807i	0.128616	−	0.395839i
$625$	24.6021	−	4.44287i	0.984082	−	0.177715i
$626$			4.05927i			0.162241i
$627$	0.315676	−	25.0626i	0.0126069	−	1.00090i
$628$	0.750852	−	0.750852i	0.0299623	−	0.0299623i
$629$	23.6681	+	17.1959i	0.943709	+	0.685644i
$630$	1.36399	+	1.71114i	0.0543428	+	0.0681736i
$631$	−6.31072	−	19.4224i	−0.251226	−	0.773193i	−0.994550	−	0.104262i	$-0.966752\pi$
$631$	−6.31072	−	19.4224i	−0.251226	−	0.773193i	0.743324	−	0.668931i	$-0.233248\pi$
$632$	−15.9957	−	2.53347i	−0.636275	−	0.100776i
$633$	−22.3154	−	3.53441i	−0.886957	−	0.140480i
$634$	2.15606	+	6.63568i	0.0856282	+	0.263537i
$635$	10.5192	+	1.18751i	0.417441	+	0.0471247i
$636$	5.93121	+	4.30928i	0.235188	+	0.170874i
$637$	−3.50339	+	3.50339i	−0.138809	+	0.138809i
$638$	−2.58800	+	0.805000i	−0.102460	+	0.0318703i
$639$			16.4364i			0.650214i
$640$	18.8176	+	8.55221i	0.743830	+	0.338056i
$641$	−3.12003	+	9.60247i	−0.123234	+	0.379275i	−0.993575	−	0.113174i	$-0.963898\pi$
$641$	−3.12003	+	9.60247i	−0.123234	+	0.379275i	0.870341	+	0.492449i	$0.163898\pi$
$642$	−1.24335	+	2.44022i	−0.0490713	+	0.0963078i
$643$	−0.357419	+	2.25665i	−0.0140952	+	0.0889937i	−0.993733	−	0.111779i	$-0.964345\pi$
$643$	−0.357419	+	2.25665i	−0.0140952	+	0.0889937i	0.979638	+	0.200772i	$0.0643452\pi$
$644$	18.9778	−	13.7882i	0.747829	−	0.543329i
$645$	11.1049	+	3.06731i	0.437255	+	0.120775i
$646$	−9.48588	−	3.08215i	−0.373217	−	0.121266i
$647$	−4.43340	−	27.9914i	−0.174295	−	1.10046i	−0.907378	−	0.420316i	$-0.861919\pi$
$647$	−4.43340	−	27.9914i	−0.174295	−	1.10046i	0.733083	−	0.680140i	$-0.238081\pi$
$648$	−0.917919	−	0.917919i	−0.0360593	−	0.0360593i
$649$	2.96932	+	20.4079i	0.116556	+	0.801080i
$650$	2.03778	+	4.77328i	0.0799285	+	0.187224i
$651$	0.942463	−	1.29719i	0.0369380	−	0.0508409i
$652$	−25.0709	+	12.7742i	−0.981851	+	0.500278i
$653$	−6.16473	−	3.14109i	−0.241244	−	0.122920i	0.329189	−	0.944264i	$-0.393225\pi$
$653$	−6.16473	−	3.14109i	−0.241244	−	0.122920i	−0.570433	+	0.821344i	$0.693225\pi$
$654$	−0.628111	−	0.864521i	−0.0245611	−	0.0338054i
$655$	29.2305	−	1.30648i	1.14213	−	0.0510483i
$656$	−23.1793	+	7.53142i	−0.905001	+	0.294053i
$657$	−0.427788	−	0.839582i	−0.0166896	−	0.0327552i
$658$	−7.66385	+	1.21383i	−0.298768	+	0.0473202i
$659$	13.2409			0.515794			0.257897	−	0.966172i	$-0.416971\pi$
$659$	13.2409			0.515794			0.257897	+	0.966172i	$0.416971\pi$
$660$	−8.59156	−	11.0612i	−0.334426	−	0.430557i
$661$	−32.7051			−1.27208			−0.636040	−	0.771656i	$-0.719429\pi$
$661$	−32.7051			−1.27208			−0.636040	+	0.771656i	$0.719429\pi$
$662$	−7.87629	+	1.24748i	−0.306121	+	0.0484848i
$663$	5.58077	+	10.9529i	0.216739	+	0.425375i
$664$	−5.90430	+	1.91842i	−0.229131	+	0.0744493i
$665$	36.5573	+	33.4292i	1.41763	+	1.29633i
$666$	−1.45204	−	1.99857i	−0.0562656	−	0.0774429i
$667$	9.24158	+	4.70882i	0.357836	+	0.182326i
$668$	1.92387	−	0.980259i	0.0744366	−	0.0379274i
$669$	4.92992	−	6.78545i	0.190602	−	0.262341i
$670$	5.88430	−	8.91018i	0.227330	−	0.344230i
$671$	−12.9883	+	6.41312i	−0.501408	+	0.247576i
$672$	7.69552	+	7.69552i	0.296861	+	0.296861i
$673$	−1.69523	−	10.7033i	−0.0653463	−	0.412580i	−0.998578	−	0.0533058i	$-0.983024\pi$
$673$	−1.69523	−	10.7033i	−0.0653463	−	0.412580i	0.933232	−	0.359275i	$-0.116976\pi$
$674$	8.93594	+	2.90346i	0.344200	+	0.111837i
$675$	−4.98853	−	0.338480i	−0.192009	−	0.0130281i
$676$	−5.09064	+	3.69857i	−0.195794	+	0.142253i
$677$	0.837672	−	5.28885i	0.0321943	−	0.203267i	−0.966348	−	0.257238i	$-0.917188\pi$
$677$	0.837672	−	5.28885i	0.0321943	−	0.203267i	0.998543	+	0.0539705i	$0.0171877\pi$
$678$	0.953373	−	1.87110i	0.0366141	−	0.0718592i
$679$	9.53077	−	29.3327i	0.365758	−	1.12569i
$680$	−10.7448	+	4.02998i	−0.412046	+	0.154543i
$681$		−	2.35703i		−	0.0903215i
$682$	0.362109	−	0.485424i	0.0138659	−	0.0185878i
$683$	0.545629	−	0.545629i	0.0208779	−	0.0208779i	−0.696591	−	0.717469i	$-0.745301\pi$
$683$	0.545629	−	0.545629i	0.0208779	−	0.0208779i	0.717469	+	0.696591i	$0.245301\pi$
$684$	−11.5465	−	8.38904i	−0.441492	−	0.320763i
$685$	3.74239	−	33.1509i	0.142989	−	1.26663i
$686$	1.63500	+	5.03203i	0.0624248	+	0.192124i
$687$	9.75395	+	1.54487i	0.372136	+	0.0589406i
$688$	17.0156	+	2.69501i	0.648715	+	0.102746i
$689$	3.73001	+	11.4798i	0.142102	+	0.437345i
$690$	0.354810	−	3.14298i	0.0135074	−	0.119651i
$691$	3.14531	+	2.28520i	0.119653	+	0.0869332i	0.646003	−	0.763335i	$-0.276440\pi$
$691$	3.14531	+	2.28520i	0.119653	+	0.0869332i	−0.526349	+	0.850268i	$0.676440\pi$
$692$	−19.1710	+	19.1710i	−0.728773	+	0.728773i
$693$	−2.88773	−	9.28379i	−0.109696	−	0.352662i
$694$			9.71334i			0.368713i
$695$	−47.5672	+	17.8407i	−1.80433	+	0.676735i
$696$	−0.981957	+	3.02215i	−0.0372210	+	0.114554i
$697$	13.0823	−	25.6755i	0.495527	−	0.972527i
$698$	0.679677	−	4.29131i	0.0257262	−	0.162429i
$699$	22.4594	−	16.3177i	0.849494	−	0.617193i
$700$	27.6176	+	1.87390i	1.04385	+	0.0708266i
$701$	−37.0633	−	12.0426i	−1.39986	−	0.454842i	−0.490715	−	0.871320i	$-0.663264\pi$
$701$	−37.0633	−	12.0426i	−1.39986	−	0.454842i	−0.909146	+	0.416478i	$0.863264\pi$
$702$	−0.162381	−	1.02523i	−0.00612868	−	0.0386950i
$703$	−39.5438	−	39.5438i	−1.49142	−	1.49142i
$704$	−12.6150	−	12.9369i	−0.475448	−	0.487577i
$705$	9.77031	−	14.7945i	0.367971	−	0.557193i
$706$	−0.785432	+	1.08105i	−0.0295601	+	0.0406860i
$707$	−7.19569	+	3.66639i	−0.270622	+	0.137889i
$708$	10.4631	+	5.33123i	0.393228	+	0.200360i
$709$	24.1158	+	33.1925i	0.905688	+	1.24657i	0.968618	+	0.248554i	$0.0799554\pi$
$709$	24.1158	+	33.1925i	0.905688	+	1.24657i	−0.0629303	+	0.998018i	$0.520045\pi$
$710$	−9.05451	−	8.27974i	−0.339810	−	0.310733i
$711$	11.8651	−	3.85520i	0.444975	−	0.144581i
$712$	1.58113	+	3.10313i	0.0592552	+	0.116295i
$713$	−2.28906	+	0.362552i	−0.0857260	+	0.0135777i
$714$	−3.86893			−0.144791
$715$	−0.739422	−	23.0478i	−0.0276528	−	0.861939i
$716$	10.8648			0.406036
$717$	−4.07848	+	0.645968i	−0.152314	+	0.0241241i
$718$	2.66226	+	5.22498i	0.0993546	+	0.194994i
$719$	−19.6981	+	6.40032i	−0.734617	+	0.238691i	−0.652349	−	0.757919i	$-0.726216\pi$
$719$	−19.6981	+	6.40032i	−0.734617	+	0.238691i	−0.0822679	+	0.996610i	$0.526216\pi$
$720$	−7.46939	+	0.333849i	−0.278368	+	0.0124418i
$721$	10.4451	+	14.3764i	0.388995	+	0.535406i
$722$	11.3364	+	5.77619i	0.421897	+	0.214967i
$723$	12.4271	−	6.33192i	0.462169	−	0.235487i
$724$	−0.589979	+	0.812037i	−0.0219264	+	0.0301791i
$725$	4.80558	+	11.2565i	0.178475	+	0.418057i
$726$	−1.04644	−	3.51993i	−0.0388371	−	0.130637i
$727$	15.8177	+	15.8177i	0.586644	+	0.586644i	0.936721	−	0.350077i	$-0.113844\pi$
$727$	15.8177	+	15.8177i	0.586644	+	0.586644i	−0.350077	+	0.936721i	$0.613844\pi$
$728$	1.85100	+	11.6868i	0.0686027	+	0.433140i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	0.678005	+	0.187274i	0.0250941	+	0.00693131i
$731$	−16.4789	+	11.9726i	−0.609494	+	0.442823i
$732$	−1.29031	+	8.14668i	−0.0476911	+	0.301110i
$733$	10.5351	−	20.6763i	0.389122	−	0.763695i	−0.610476	−	0.792035i	$-0.709022\pi$
$733$	10.5351	−	20.6763i	0.389122	−	0.763695i	0.999598	+	0.0283392i	$0.00902186\pi$
$734$	2.34929	−	7.23036i	0.0867137	−	0.266877i
$735$	3.24372	+	1.47421i	0.119647	+	0.0543769i
$736$		−	15.7306i		−	0.579836i
$737$	−38.7296	+	27.4001i	−1.42662	+	1.00930i
$738$	−1.72059	+	1.72059i	−0.0633359	+	0.0633359i
$739$	0.593793	+	0.431416i	0.0218430	+	0.0158699i	0.598653	−	0.801008i	$-0.295703\pi$
$739$	0.593793	+	0.431416i	0.0218430	+	0.0158699i	−0.576810	+	0.816878i	$0.695703\pi$
$740$	−31.0523	−	3.50549i	−1.14151	−	0.128864i
$741$	−7.26136	−	22.3482i	−0.266753	−	0.820981i
$742$	−3.75224	−	0.594296i	−0.137749	−	0.0218173i
$743$	29.9958	+	4.75087i	1.10044	+	0.174293i	0.680133	−	0.733089i	$-0.261922\pi$
$743$	29.9958	+	4.75087i	1.10044	+	0.174293i	0.420308	+	0.907382i	$0.361922\pi$
$744$	−0.219414	−	0.675287i	−0.00804411	−	0.0247572i
$745$	9.00801	+	11.3006i	0.330028	+	0.414024i
$746$	−1.92174	−	1.39623i	−0.0703599	−	0.0511194i
$747$	3.38164	−	3.38164i	0.123728	−	0.123728i
$748$	24.7609	+	0.311876i	0.905350	+	0.0114033i
$749$			24.0492i			0.878737i
$750$	2.69940	−	2.57758i	0.0985683	−	0.0941199i
$751$	3.94900	−	12.1538i	0.144101	−	0.443498i	−0.852793	−	0.522249i	$-0.825093\pi$
$751$	3.94900	−	12.1538i	0.144101	−	0.443498i	0.996894	+	0.0787510i	$0.0250932\pi$
$752$	12.0363	−	23.6225i	0.438918	−	0.861425i
$753$	1.40158	−	8.84924i	0.0510765	−	0.322484i
$754$	−2.05566	+	1.49353i	−0.0748628	+	0.0543910i
$755$	8.35955	−	30.2649i	0.304235	−	1.10145i
$756$	−5.26525	−	1.71078i	−0.191495	−	0.0622206i
$757$	−2.35887	−	14.8933i	−0.0857347	−	0.541307i	−0.992749	−	0.120207i	$-0.961644\pi$
$757$	−2.35887	−	14.8933i	−0.0857347	−	0.541307i	0.907014	−	0.421100i	$-0.138356\pi$
$758$	6.29726	+	6.29726i	0.228727	+	0.228727i
$759$	−6.53715	+	12.4400i	−0.237284	+	0.451544i
$760$	21.4917	−	4.39564i	0.779584	−	0.159447i
$761$	−4.70422	+	6.47481i	−0.170528	+	0.234712i	−0.885724	−	0.464212i	$-0.846337\pi$
$761$	−4.70422	+	6.47481i	−0.170528	+	0.234712i	0.715196	+	0.698924i	$0.246337\pi$
$762$	1.40818	−	0.717504i	0.0510130	−	0.0259924i
$763$	−8.36085	−	4.26007i	−0.302683	−	0.154225i
$764$	12.9311	+	17.7981i	0.467829	+	0.643912i
$765$	5.96560	−	6.52382i	0.215687	−	0.235869i
$766$	−1.05534	+	0.342900i	−0.0381310	+	0.0123895i
$767$	8.77747	+	17.2268i	0.316936	+	0.622022i
$768$	−7.71418	+	1.22181i	−0.278361	+	0.0440881i
$769$	−12.7152			−0.458520			−0.229260	−	0.973365i	$-0.573631\pi$
$769$	−12.7152			−0.458520			−0.229260	+	0.973365i	$0.573631\pi$
$770$	6.56894	+	3.08585i	0.236728	+	0.111206i
$771$	25.7806			0.928467
$772$	13.2331	−	2.09591i	0.476269	−	0.0754336i
$773$	23.7797	+	46.6703i	0.855297	+	1.67861i	0.726741	+	0.686912i	$0.241034\pi$
$773$	23.7797	+	46.6703i	0.855297	+	1.67861i	0.128556	+	0.991702i	$0.458966\pi$
$774$	1.63581	−	0.531506i	0.0587979	−	0.0191046i
$775$	−2.34712	−	1.40370i	−0.0843111	−	0.0504225i
$776$	−8.02788	−	11.0494i	−0.288184	−	0.396651i
$777$	−19.3283	−	9.84827i	−0.693399	−	0.353305i
$778$	6.36676	−	3.24402i	0.228259	−	0.116304i
$779$	−32.3776	+	44.5639i	−1.16005	+	1.59667i
$780$	−10.9569	−	7.23598i	−0.392321	−	0.259090i
$781$	24.1349	+	48.8797i	0.863614	+	1.74905i
$782$	3.95428	+	3.95428i	0.141405	+	0.141405i
$783$	−0.382933	−	2.41775i	−0.0136849	−	0.0864032i
$784$	5.06724	+	1.64645i	0.180973	+	0.0588017i
$785$	−0.620234	−	1.09362i	−0.0221371	−	0.0390331i
$786$	3.53406	−	2.56765i	0.126056	−	0.0915849i
$787$	−6.79802	+	42.9210i	−0.242323	+	1.52997i	0.503600	+	0.863937i	$0.332009\pi$
$787$	−6.79802	+	42.9210i	−0.242323	+	1.52997i	−0.745923	+	0.666032i	$0.767991\pi$
$788$	4.48331	−	8.79899i	0.159711	−	0.313451i
$789$	−4.57690	+	14.0863i	−0.162942	+	0.501484i
$790$	−3.85320	+	8.47828i	−0.137091	+	0.301644i
$791$		−	18.4403i		−	0.655661i
$792$	−4.07762	−	1.38191i	−0.144892	−	0.0491042i
$793$	−9.60258	+	9.60258i	−0.340998	+	0.340998i
$794$	−0.589932	−	0.428611i	−0.0209359	−	0.0152108i
$795$	6.78779	−	5.41071i	0.240738	−	0.191898i
$796$	−7.36566	−	22.6692i	−0.261069	−	0.803487i
$797$	−31.0360	−	4.91562i	−1.09935	−	0.174120i	−0.419705	−	0.907660i	$-0.637867\pi$
$797$	−31.0360	−	4.91562i	−1.09935	−	0.174120i	−0.679646	+	0.733540i	$0.737867\pi$
$798$	7.30464	+	1.15694i	0.258581	+	0.0409553i
$799$	9.68658	+	29.8122i	0.342687	+	1.05468i
$800$	11.9024	−	14.2444i	0.420815	−	0.503616i
$801$	−2.17049	−	1.57695i	−0.0766905	−	0.0557189i
$802$	−7.09568	+	7.09568i	−0.250557	+	0.250557i
$803$	−2.50501	−	1.86865i	−0.0883998	−	0.0659431i
$804$			27.0145i			0.952727i
$805$	−9.75362	−	26.0053i	−0.343770	−	0.916568i
$806$	0.175448	−	0.539973i	0.00617989	−	0.0190197i
$807$	−5.60124	+	10.9931i	−0.197173	+	0.386974i
$808$	−0.559449	+	3.53222i	−0.0196813	+	0.124263i
$809$	−41.4326	+	30.1026i	−1.45669	+	1.05835i	−0.472484	+	0.881339i	$0.656643\pi$
$809$	−41.4326	+	30.1026i	−1.45669	+	1.05835i	−0.984209	+	0.177010i	$0.943357\pi$
$810$	−0.649321	+	0.368254i	−0.0228148	+	0.0129391i
$811$	−9.33458	−	3.03299i	−0.327781	−	0.106503i	0.140503	−	0.990080i	$-0.455128\pi$
$811$	−9.33458	−	3.03299i	−0.327781	−	0.106503i	−0.468285	+	0.883578i	$0.655128\pi$
$812$	2.12000	+	13.3852i	0.0743974	+	0.469727i
$813$	15.3193	+	15.3193i	0.537271	+	0.537271i
$814$	−7.25284	−	3.81132i	−0.254212	−	0.133587i
$815$	6.67572	+	32.6396i	0.233840	+	1.14332i
$816$	7.77012	−	10.6947i	0.272009	−	0.374388i
$817$	34.6928	−	17.6769i	1.21375	−	0.618436i
$818$	1.05241	+	0.536229i	0.0367966	+	0.0187488i
$819$	−5.35764	−	7.37416i	−0.187211	−	0.257674i
$820$	1.37438	+	30.7498i	0.0479955	+	1.07383i
$821$	22.1305	−	7.19063i	0.772359	−	0.250955i	0.103784	−	0.994600i	$-0.466905\pi$
$821$	22.1305	−	7.19063i	0.772359	−	0.250955i	0.668574	+	0.743645i	$0.266905\pi$
$822$	−2.26120	−	4.43785i	−0.0788683	−	0.154788i
$823$	16.6555	−	2.63796i	0.580573	−	0.0919537i	0.140761	−	0.990044i	$-0.455045\pi$
$823$	16.6555	−	2.63796i	0.580573	−	0.0919537i	0.439812	+	0.898090i	$0.355045\pi$
$824$	7.86918			0.274136
$825$	−15.3322	+	6.31846i	−0.533800	+	0.219980i
$826$	−6.08507			−0.211727
$827$	−5.14497	+	0.814883i	−0.178908	+	0.0283363i	−0.245246	−	0.969461i	$-0.578869\pi$
$827$	−5.14497	+	0.814883i	−0.178908	+	0.0283363i	0.0663375	+	0.997797i	$0.478869\pi$
$828$	3.63288	+	7.12993i	0.126251	+	0.247782i
$829$	28.8920	−	9.38758i	1.00346	−	0.326044i	0.239213	−	0.970967i	$-0.423111\pi$
$829$	28.8920	−	9.38758i	1.00346	−	0.326044i	0.764247	+	0.644923i	$0.223111\pi$
$830$	0.159401	+	3.56636i	0.00553289	+	0.123790i
$831$	−11.3418	−	15.6106i	−0.393442	−	0.541527i
$832$	−15.0938	−	7.69069i	−0.523285	−	0.266627i
$833$	−5.61292	+	2.85992i	−0.194476	+	0.0990905i
$834$	−4.45814	+	6.13610i	−0.154373	+	0.212476i
$835$	−0.512275	−	2.50467i	−0.0177280	−	0.0866777i
$836$	−46.6561	−	7.99320i	−1.61363	−	0.276451i
$837$	0.386765	+	0.386765i	0.0133686	+	0.0133686i
$838$	1.11741	+	7.05507i	0.0386004	+	0.243713i
$839$	22.7793	+	7.40145i	0.786430	+	0.255527i	0.674583	−	0.738199i	$-0.264323\pi$
$839$	22.7793	+	7.40145i	0.786430	+	0.255527i	0.111847	+	0.993725i	$0.464323\pi$
$840$	7.40168	−	4.19777i	0.255382	−	0.144837i
$841$	18.6138	−	13.5237i	0.641854	−	0.466334i
$842$	0.754553	−	4.76406i	0.0260036	−	0.164180i
$843$	9.92231	−	19.4736i	0.341742	−	0.670707i
$844$	−13.1855	+	40.5808i	−0.453863	+	1.39685i
$845$	2.61633	+	6.97574i	0.0900046	+	0.239973i
$846$		−	2.64694i		−	0.0910036i
$847$	−22.2198	−	23.3684i	−0.763483	−	0.802949i
$848$	9.17856	−	9.17856i	0.315193	−	0.315193i
$849$	12.4476	+	9.04369i	0.427199	+	0.310379i
$850$	0.588716	+	6.57267i	0.0201928	+	0.225441i
$851$	9.68918	+	29.8202i	0.332141	+	1.02222i
$852$	30.6589	+	4.85589i	1.05036	+	0.166360i
$853$	−26.9725	−	4.27202i	−0.923521	−	0.146271i	−0.323475	−	0.946237i	$-0.604851\pi$
$853$	−26.9725	−	4.27202i	−0.923521	−	0.146271i	−0.600046	+	0.799966i	$0.704851\pi$
$854$	−1.32077	−	4.06492i	−0.0451959	−	0.139099i
$855$	−13.2141	+	10.5332i	−0.451911	+	0.360229i
$856$	8.61577	+	6.25972i	0.294481	+	0.213953i
$857$	−23.2369	+	23.2369i	−0.793758	+	0.793758i	−0.982103	−	0.188345i	$-0.939688\pi$
$857$	−23.2369	+	23.2369i	−0.793758	+	0.793758i	0.188345	+	0.982103i	$0.439688\pi$
$858$	−1.98833	−	2.81047i	−0.0678805	−	0.0959478i
$859$		−	20.2859i		−	0.692145i	−0.938208	−	0.346073i	$-0.887515\pi$
$859$		−	20.2859i		−	0.692145i	0.938208	−	0.346073i	$-0.112485\pi$
$860$	9.00224	−	19.8078i	0.306974	−	0.675440i
$861$	−6.60278	+	20.3213i	−0.225022	+	0.692547i
$862$	−2.84935	+	5.59217i	−0.0970493	+	0.190470i
$863$	0.611944	−	3.86366i	0.0208308	−	0.131521i	−0.975081	−	0.221848i	$-0.928791\pi$
$863$	0.611944	−	3.86366i	0.0208308	−	0.131521i	0.995912	+	0.0903270i	$0.0287912\pi$
$864$	−3.00350	+	2.18217i	−0.102181	+	0.0742389i
$865$	15.8360	+	27.9228i	0.538441	+	0.949403i
$866$	−4.94541	−	1.60686i	−0.168052	−	0.0546034i
$867$	−0.214356	−	1.35339i	−0.00727993	−	0.0459637i
$868$	−2.14121	−	2.14121i	−0.0726776	−	0.0726776i
$869$	29.6242	−	28.8872i	1.00493	−	0.979933i
$870$	1.52479	+	1.00697i	0.0516952	+	0.0341396i
$871$	−26.1431	+	35.9829i	−0.885826	+	1.21923i
$872$	−3.70243	+	1.88648i	−0.125380	+	0.0638844i
$873$	9.37440	+	4.77650i	0.317275	+	0.161660i
$874$	−6.28332	−	8.64824i	−0.212536	−	0.292531i
$875$	10.8446	−	30.9285i	0.366616	−	1.04557i
$876$	−1.69246	+	0.549913i	−0.0571828	+	0.0185798i
$877$	−22.4854	−	44.1302i	−0.759279	−	1.49017i	−0.868251	−	0.496125i	$-0.834756\pi$
$877$	−22.4854	−	44.1302i	−0.759279	−	1.49017i	0.108972	−	0.994045i	$-0.465244\pi$
$878$	1.50409	−	0.238225i	0.0507607	−	0.00803970i
$879$	21.6506			0.730257
$880$	−21.7227	+	11.9607i	−0.732273	+	0.403195i
$881$	28.5226			0.960949			0.480475	−	0.877009i	$-0.340464\pi$
$881$	28.5226			0.960949			0.480475	+	0.877009i	$0.340464\pi$
$882$	0.525392	−	0.0832139i	0.0176909	−	0.00280196i
$883$	1.48224	+	2.90906i	0.0498814	+	0.0978978i	0.914602	−	0.404356i	$-0.132504\pi$
$883$	1.48224	+	2.90906i	0.0498814	+	0.0978978i	−0.864720	+	0.502254i	$0.832504\pi$
$884$	22.0792	−	7.17397i	0.742604	−	0.241287i
$885$	9.38274	−	10.2607i	0.315397	−	0.344910i
$886$	1.36109	+	1.87339i	0.0457269	+	0.0629376i
$887$	43.4747	+	22.1515i	1.45974	+	0.743773i	0.990268	−	0.139175i	$-0.0444451\pi$
$887$	43.4747	+	22.1515i	1.45974	+	0.743773i	0.469470	+	0.882949i	$0.344445\pi$
$888$	−8.55914	+	4.36110i	−0.287226	+	0.146349i
$889$	8.15733	−	11.2276i	0.273588	−	0.376562i
$890$	1.96208	−	0.401301i	0.0657692	−	0.0134516i
$891$	3.28207	−	0.477536i	0.109953	−	0.0159981i
$892$	−11.2004	−	11.2004i	−0.375019	−	0.375019i
$893$	−9.37365	−	59.1829i	−0.313677	−	1.98048i
$894$	2.05196	+	0.666722i	0.0686278	+	0.0222985i
$895$	3.42495	−	12.3997i	0.114484	−	0.414476i
$896$	21.9226	−	15.9277i	0.732384	−	0.532108i
$897$	−2.06100	+	13.0127i	−0.0688149	+	0.434480i
$898$	−2.33903	+	4.59061i	−0.0780545	+	0.153191i
$899$	0.413748	−	1.27338i	0.0137993	−	0.0424698i
$900$	−2.10515	+	9.20512i	−0.0701718	+	0.306837i
$901$			15.3473i			0.511293i
$902$	−2.59033	+	7.64328i	−0.0862484	+	0.254494i
$903$	10.6798	−	10.6798i	0.355401	−	0.355401i
$904$	−6.60635	−	4.79980i	−0.219724	−	0.159639i
$905$	0.740775	+	0.929311i	0.0246242	+	0.0308913i
$906$	−1.44855	−	4.45817i	−0.0481248	−	0.148113i
$907$	16.8603	+	2.67041i	0.559838	+	0.0886696i	0.429939	−	0.902858i	$-0.358535\pi$
$907$	16.8603	+	2.67041i	0.559838	+	0.0886696i	0.129898	+	0.991527i	$0.458535\pi$
$908$	−4.39657	−	0.696348i	−0.145905	−	0.0231091i
$909$	−0.851316	−	2.62008i	−0.0282364	−	0.0869026i
$910$	6.76116	+	0.763265i	0.224130	+	0.0253020i
$911$	4.52039	+	3.28425i	0.149767	+	0.108812i	0.660145	−	0.751138i	$-0.270495\pi$
$911$	4.52039	+	3.28425i	0.149767	+	0.108812i	−0.510378	+	0.859950i	$0.670495\pi$
$912$	−17.8683	+	17.8683i	−0.591678	+	0.591678i
$913$	5.09101	−	15.0221i	0.168488	−	0.497158i
$914$		−	11.1895i		−	0.370116i
$915$	8.89085	+	4.04071i	0.293922	+	0.133582i
$916$	5.76332	−	17.7377i	0.190425	−	0.586069i
$917$	17.4147	−	34.1782i	0.575083	−	1.12866i
$918$	0.206462	−	1.30355i	0.00681425	−	0.0430235i
$919$	−26.1312	+	18.9854i	−0.861988	+	0.626271i	−0.928425	−	0.371520i	$-0.878837\pi$
$919$	−26.1312	+	18.9854i	−0.861988	+	0.626271i	0.0664374	+	0.997791i	$0.478837\pi$
$920$	−11.8553	−	3.27460i	−0.390859	−	0.107960i
$921$	5.41147	+	1.75829i	0.178314	+	0.0579378i
$922$	−1.26623	−	7.99468i	−0.0417012	−	0.263291i
$923$	36.1380	+	36.1380i	1.18950	+	1.18950i
$924$	−18.1702	+	2.64374i	−0.597756	+	0.0869727i
$925$	−13.7895	+	34.3342i	−0.453396	+	1.12890i
$926$	0.166100	−	0.228617i	0.00545838	−	0.00751281i
$927$	−5.40120	+	2.75205i	−0.177399	+	0.0903892i
$928$	8.09732	+	4.12579i	0.265807	+	0.135436i
$929$	32.5109	+	44.7474i	1.06665	+	1.46812i	0.873424	+	0.486961i	$0.161895\pi$
$929$	32.5109	+	44.7474i	1.06665	+	1.46812i	0.193225	+	0.981155i	$0.438105\pi$
$930$	−0.407892	+	0.0182310i	−0.0133753	+	0.000597819i
$931$	11.4526	−	3.72116i	0.375342	−	0.121956i
$932$	−23.8022	−	46.7145i	−0.779668	−	1.53018i
$933$	−4.96030	+	0.785635i	−0.162393	+	0.0257205i
$934$	−0.585408			−0.0191551
$935$	8.16144	−	28.1607i	0.266908	−	0.920954i
$936$	−4.03637			−0.131933
$937$	−39.3002	+	6.22455i	−1.28388	+	0.203347i	−0.760829	−	0.648953i	$-0.775207\pi$
$937$	−39.3002	+	6.22455i	−1.28388	+	0.203347i	−0.523054	+	0.852300i	$0.675207\pi$
$938$	−6.35519	−	12.4728i	−0.207504	−	0.407250i
$939$	−11.5644	+	3.75750i	−0.377389	+	0.122621i
$940$	−24.7097	−	22.5954i	−0.805943	−	0.736981i
$941$	13.6995	+	18.8558i	0.446591	+	0.614680i	0.971661	−	0.236379i	$-0.0759607\pi$
$941$	13.6995	+	18.8558i	0.446591	+	0.614680i	−0.525070	+	0.851059i	$0.675961\pi$
$942$	−0.167245	−	0.0852154i	−0.00544913	−	0.00277647i
$943$	27.5180	−	14.0211i	0.896110	−	0.456591i
$944$	12.2209	−	16.8206i	0.397756	−	0.547465i
$945$	−3.61226	+	5.46980i	−0.117507	+	0.177933i
$946$	4.08422	−	3.98261i	0.132789	−	0.129486i
$947$	7.02653	+	7.02653i	0.228332	+	0.228332i	0.811995	−	0.583664i	$-0.198381\pi$
$947$	7.02653	+	7.02653i	0.228332	+	0.228332i	−0.583664	+	0.811995i	$0.698381\pi$
$948$	−3.68575	−	23.2709i	−0.119708	−	0.755804i
$949$	−2.78651	−	0.905391i	−0.0904538	−	0.0293902i
$950$	0.853942	−	12.5854i	0.0277055	−	0.408325i
$951$	−16.9085	+	12.2848i	−0.548296	+	0.398360i
$952$	−2.35348	+	14.8593i	−0.0762768	+	0.481593i
$953$	−15.6394	+	30.6940i	−0.506609	+	0.994276i	0.486118	+	0.873893i	$0.338412\pi$
$953$	−15.6394	+	30.6940i	−0.506609	+	0.994276i	−0.992727	+	0.120383i	$0.961588\pi$
$954$	0.400470	−	1.23252i	0.0129657	−	0.0399043i
$955$	24.3888	−	9.14732i	0.789203	−	0.296000i
$956$			7.79844i			0.252220i
$957$	−4.68896	−	6.62776i	−0.151572	−	0.214245i
$958$	−1.74569	+	1.74569i	−0.0564006	+	0.0564006i
$959$	−35.3835	−	25.7076i	−1.14259	−	0.830143i
$960$	−1.36658	+	12.1055i	−0.0441063	+	0.390703i
$961$	−9.48708	−	29.1982i	−0.306035	−	0.941878i
$962$	−7.58670	−	1.20161i	−0.244605	−	0.0387416i
$963$	−8.10283	−	1.28336i	−0.261110	−	0.0413558i
$964$	−8.13955	−	25.0510i	−0.262157	−	0.806837i
$965$	1.77951	−	15.7633i	0.0572845	−	0.507438i
$966$	−3.35465	−	2.43729i	−0.107934	−	0.0784187i
$967$	20.7316	−	20.7316i	0.666682	−	0.666682i	−0.290264	−	0.956947i	$-0.593743\pi$
$967$	20.7316	−	20.7316i	0.666682	−	0.666682i	0.956947	+	0.290264i	$0.0937432\pi$
$968$	−14.1555	+	1.87786i	−0.454974	+	0.0603568i
$969$		−	29.8772i		−	0.959794i
$970$	−7.35358	+	2.75805i	−0.236109	+	0.0885556i
$971$	−5.34087	+	16.4375i	−0.171397	+	0.527505i	−0.999451	−	0.0331438i	$-0.989448\pi$
$971$	−5.34087	+	16.4375i	−0.171397	+	0.527505i	0.828054	+	0.560648i	$0.189448\pi$
$972$	0.857386	−	1.68271i	0.0275007	−	0.0539731i
$973$	−10.4188	+	65.7819i	−0.334012	+	2.10887i
$974$	0.211343	−	0.153550i	0.00677188	−	0.00492006i
$975$	−11.7122	+	10.2238i	−0.375092	+	0.327425i
$976$	13.8890	+	4.51281i	0.444576	+	0.144452i
$977$	2.03357	+	12.8394i	0.0650596	+	0.410770i	0.998628	+	0.0523701i	$0.0166775\pi$
$977$	2.03357	+	12.8394i	0.0650596	+	0.410770i	−0.933568	+	0.358400i	$0.883322\pi$
$978$	3.51703	+	3.51703i	0.112462	+	0.112462i
$979$	−8.77030	−	1.50254i	−0.280300	−	0.0480215i
$980$	3.70815	−	5.61500i	0.118453	−	0.179364i
$981$	1.88150	−	2.58967i	0.0600718	−	0.0826817i
$982$	1.18350	−	0.603023i	0.0377670	−	0.0192432i
$983$	−43.2977	−	22.0613i	−1.38098	−	0.703645i	−0.403561	−	0.914953i	$-0.632228\pi$
$983$	−43.2977	−	22.0613i	−1.38098	−	0.703645i	−0.977420	+	0.211308i	$0.932228\pi$
$984$	5.56160	+	7.65488i	0.177297	+	0.244029i
$985$	−8.62877	−	7.89043i	−0.274935	−	0.251410i
$986$	−3.07259	+	0.998344i	−0.0978511	+	0.0317938i
$987$	−10.5522	−	20.7098i	−0.335880	−	0.659201i
$988$	−43.8314	+	6.94221i	−1.39446	+	0.220861i
$989$	−21.8308			−0.694179
$990$	−1.39026	+	2.04858i	−0.0441852	+	0.0651083i
$991$	−8.32337			−0.264400			−0.132200	−	0.991223i	$-0.542204\pi$
$991$	−8.32337			−0.264400			−0.132200	+	0.991223i	$0.542204\pi$
$992$	−2.00564	+	0.317661i	−0.0636790	+	0.0100858i
$993$	−10.8447	−	21.2839i	−0.344146	−	0.675425i
$994$	−15.2978	+	4.97054i	−0.485216	+	0.157656i
$995$	−28.1937	+	1.26013i	−0.893799	+	0.0399489i
$996$	−5.30873	−	7.30684i	−0.168214	−	0.231526i
$997$	16.8876	+	8.60465i	0.534835	+	0.272512i	0.700478	−	0.713674i	$-0.252970\pi$
$997$	16.8876	+	8.60465i	0.534835	+	0.272512i	−0.165643	+	0.986186i	$0.552970\pi$
$998$	−5.40178	+	2.75235i	−0.170990	+	0.0871240i
$999$	4.34959	−	5.98670i	0.137615	−	0.189411i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.7.6	✓	96
3.2	odd	2		495.2.bj.c.172.7		96
5.2	odd	4		825.2.cw.b.568.6		96
5.3	odd	4	inner	165.2.w.a.73.7	yes	96
5.4	even	2		825.2.cw.b.7.7		96
11.8	odd	10	inner	165.2.w.a.52.7	yes	96
15.8	even	4		495.2.bj.c.73.6		96
33.8	even	10		495.2.bj.c.217.6		96
55.8	even	20	inner	165.2.w.a.118.6	yes	96
55.19	odd	10		825.2.cw.b.382.6		96
55.52	even	20		825.2.cw.b.118.7		96
165.8	odd	20		495.2.bj.c.118.7		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.7.6	✓	96	1.1	even	1	trivial
165.2.w.a.52.7	yes	96	11.8	odd	10	inner
165.2.w.a.73.7	yes	96	5.3	odd	4	inner
165.2.w.a.118.6	yes	96	55.8	even	20	inner
495.2.bj.c.73.6		96	15.8	even	4
495.2.bj.c.118.7		96	165.8	odd	20
495.2.bj.c.172.7		96	3.2	odd	2
495.2.bj.c.217.6		96	33.8	even	10
825.2.cw.b.7.7		96	5.4	even	2
825.2.cw.b.118.7		96	55.52	even	20
825.2.cw.b.382.6		96	55.19	odd	10
825.2.cw.b.568.6		96	5.2	odd	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.329725 + 0.0522232i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.79612 + 0.583595i) q^{4} +(0.0998428 + 2.23384i) q^{5} +(0.196223 + 0.270078i) q^{6} +(2.61195 + 1.33085i) q^{7} +(1.15665 - 0.589341i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.329725 + 0.0522232i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.79612 + 0.583595i) q^{4} +(0.0998428 + 2.23384i) q^{5} +(0.196223 + 0.270078i) q^{6} +(2.61195 + 1.33085i) q^{7} +(1.15665 - 0.589341i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.149579 - 0.731337i) q^{10} +(-0.560050 + 3.26900i) q^{11} +(1.33541 + 1.33541i) q^{12} +(0.486412 + 3.07108i) q^{13} +(-0.930724 - 0.302411i) q^{14} +(1.94504 - 1.10310i) q^{15} +(2.70515 - 1.96541i) q^{16} +(-0.618455 + 3.90477i) q^{17} +(0.151558 - 0.297449i) q^{18} +(2.33532 - 7.18738i) q^{19} +(-1.48299 - 3.95398i) q^{20} -2.93145i q^{21} +(0.0139447 - 1.10712i) q^{22} +(-2.99612 + 2.99612i) q^{23} +(-1.05021 - 0.763024i) q^{24} +(-4.98006 + 0.446065i) q^{25} +(-0.320764 - 0.987210i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-5.46805 - 0.866054i) q^{28} +(-0.756438 - 2.32808i) q^{29} +(-0.583719 + 0.465296i) q^{30} +(0.442507 + 0.321500i) q^{31} +(-2.62515 + 2.62515i) q^{32} +(3.16696 - 0.985085i) q^{33} -1.31980i q^{34} +(-2.71212 + 5.96754i) q^{35} +(0.583595 - 1.79612i) q^{36} +(3.35951 - 6.59342i) q^{37} +(-0.394664 + 2.49181i) q^{38} +(2.51553 - 1.82764i) q^{39} +(1.43197 + 2.52492i) q^{40} +(-6.93215 - 2.25239i) q^{41} +(0.153090 + 0.966573i) q^{42} +(3.64317 + 3.64317i) q^{43} +(-0.901853 - 6.19836i) q^{44} +(-1.86590 - 1.23224i) q^{45} +(0.831428 - 1.14436i) q^{46} +(7.06469 - 3.59964i) q^{47} +(-2.97930 - 1.51803i) q^{48} +(0.936592 + 1.28911i) q^{49} +(1.61875 - 0.407154i) q^{50} +(3.75995 - 1.22168i) q^{51} +(-2.66593 - 5.23217i) q^{52} +(3.83421 - 0.607279i) q^{53} -0.333835 q^{54} +(-7.35833 - 0.924675i) q^{55} +3.80542 q^{56} +(-7.46421 + 1.18222i) q^{57} +(0.370996 + 0.728120i) q^{58} +(5.91367 - 1.92147i) q^{59} +(-2.84976 + 3.11642i) q^{60} +(2.56714 + 3.53337i) q^{61} +(-0.162695 - 0.0828974i) q^{62} +(-2.61195 + 1.33085i) q^{63} +(-3.20233 + 4.40762i) q^{64} +(-6.81174 + 1.39319i) q^{65} +(-0.992779 + 0.490196i) q^{66} +(10.1147 + 10.1147i) q^{67} +(-1.16799 - 7.37438i) q^{68} +(4.02978 + 1.30935i) q^{69} +(0.582610 - 2.10928i) q^{70} +(13.2973 - 9.66108i) q^{71} +(-0.203073 + 1.28215i) q^{72} +(-0.427788 + 0.839582i) q^{73} +(-0.763385 + 2.34946i) q^{74} +(2.65835 + 4.23476i) q^{75} +14.2723i q^{76} +(-5.81337 + 7.79310i) q^{77} +(-0.733987 + 0.733987i) q^{78} +(-10.0930 - 7.33302i) q^{79} +(4.66049 + 5.84663i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(2.40333 + 0.380649i) q^{82} +(-4.72349 - 0.748127i) q^{83} +(1.71078 + 5.26525i) q^{84} +(-8.78438 - 0.991665i) q^{85} +(-1.39150 - 1.01099i) q^{86} +(-1.73091 + 1.73091i) q^{87} +(1.27877 + 4.11113i) q^{88} +2.68287i q^{89} +(0.679584 + 0.308857i) q^{90} +(-2.81668 + 8.66884i) q^{91} +(3.63288 - 7.12993i) q^{92} +(0.0855648 - 0.540235i) q^{93} +(-2.14142 + 1.55583i) q^{94} +(16.2886 + 4.49912i) q^{95} +(3.53082 + 1.14723i) q^{96} +(-1.64587 - 10.3916i) q^{97} +(-0.376139 - 0.376139i) q^{98} +(-2.31549 - 2.37456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

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