LMFDB - Embedded newform 429.2.bj.b.73.6

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			73.6
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.778309 + 0.123272i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.31154 + 0.426146i) q^{4} +(3.15337 + 0.499445i) q^{5} +(0.123272 - 0.778309i) q^{6} +(-0.271920 + 0.533674i) q^{7} +(2.37250 - 1.20885i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-0.778309 + 0.123272i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.31154 + 0.426146i) q^{4} +(3.15337 + 0.499445i) q^{5} +(0.123272 - 0.778309i) q^{6} +(-0.271920 + 0.533674i) q^{7} +(2.37250 - 1.20885i) q^{8} +(-0.809017 - 0.587785i) q^{9} -2.51586 q^{10} +(3.20838 + 0.840425i) q^{11} -1.37904i q^{12} +(2.09640 - 2.93345i) q^{13} +(0.145851 - 0.448883i) q^{14} +(-1.44944 + 2.84470i) q^{15} +(0.533810 - 0.387835i) q^{16} +(-3.69031 + 2.68116i) q^{17} +(0.702123 + 0.357750i) q^{18} +(2.46659 + 4.84096i) q^{19} +(-4.34862 + 0.688754i) q^{20} +(-0.423526 - 0.423526i) q^{21} +(-2.60071 - 0.258607i) q^{22} -1.52456i q^{23} +(0.416541 + 2.62994i) q^{24} +(4.93901 + 1.60478i) q^{25} +(-1.27003 + 2.54156i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.129212 - 0.815814i) q^{28} +(-3.77647 + 1.22705i) q^{29} +(0.777445 - 2.39273i) q^{30} +(0.763876 + 4.82293i) q^{31} +(-4.13331 + 4.13331i) q^{32} +(-1.79073 + 2.79164i) q^{33} +(2.54169 - 2.54169i) q^{34} +(-1.12401 + 1.54706i) q^{35} +(1.31154 + 0.426146i) q^{36} +(8.80025 + 4.48395i) q^{37} +(-2.51653 - 3.46370i) q^{38} +(2.14205 + 2.90028i) q^{39} +(8.08513 - 2.62702i) q^{40} +(-2.26562 - 4.44654i) q^{41} +(0.381843 + 0.277425i) q^{42} -4.12244 q^{43} +(-4.56607 + 0.264985i) q^{44} +(-2.25756 - 2.25756i) q^{45} +(0.187935 + 1.18658i) q^{46} +(5.34303 + 10.4863i) q^{47} +(0.203897 + 0.627531i) q^{48} +(3.90363 + 5.37289i) q^{49} +(-4.04190 - 0.640175i) q^{50} +(-1.40957 - 4.33821i) q^{51} +(-1.49944 + 4.74072i) q^{52} +(-8.15213 - 5.92287i) q^{53} +(-0.557208 + 0.557208i) q^{54} +(9.69746 + 4.25258i) q^{55} +1.59485i q^{56} +(-5.36625 + 0.849930i) q^{57} +(2.78800 - 1.42056i) q^{58} +(1.45854 + 0.743164i) q^{59} +(0.688754 - 4.34862i) q^{60} +(-3.98729 - 5.48804i) q^{61} +(-1.18906 - 3.65956i) q^{62} +(0.533674 - 0.271920i) q^{63} +(1.93180 - 2.65890i) q^{64} +(8.07582 - 8.20321i) q^{65} +(1.04961 - 2.39351i) q^{66} +(-4.22698 - 4.22698i) q^{67} +(3.69743 - 5.08907i) q^{68} +(1.44994 + 0.471114i) q^{69} +(0.684115 - 1.34265i) q^{70} +(0.137743 + 0.0218164i) q^{71} +(-2.62994 - 0.416541i) q^{72} +(6.34820 - 12.4590i) q^{73} +(-7.40207 - 2.40508i) q^{74} +(-3.05248 + 4.20138i) q^{75} +(-5.29800 - 5.29800i) q^{76} +(-1.32094 + 1.48370i) q^{77} +(-2.02470 - 1.99326i) q^{78} +(3.28897 - 4.52688i) q^{79} +(1.87700 - 0.956380i) q^{80} +(0.309017 + 0.951057i) q^{81} +(2.31149 + 3.18149i) q^{82} +(1.05838 - 6.68236i) q^{83} +(0.735956 + 0.374989i) q^{84} +(-12.9760 + 6.61160i) q^{85} +(3.20854 - 0.508182i) q^{86} -3.97082i q^{87} +(8.62782 - 1.88454i) q^{88} +(-3.55953 + 3.55953i) q^{89} +(2.03538 + 1.47879i) q^{90} +(0.995450 + 1.91646i) q^{91} +(0.649685 + 1.99952i) q^{92} +(-4.82293 - 0.763876i) q^{93} +(-5.45120 - 7.50293i) q^{94} +(5.36029 + 16.4973i) q^{95} +(-2.65375 - 5.20828i) q^{96} +(-1.56709 - 9.89423i) q^{97} +(-3.70056 - 3.70056i) q^{98} +(-2.10164 - 2.56575i) 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} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * 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 $

$2$	−0.778309	+	0.123272i	−0.550348	+	0.0871665i	−0.425414	−	0.904999i	$-0.639872\pi$
$2$	−0.778309	+	0.123272i	−0.550348	+	0.0871665i	−0.124933	+	0.992165i	$0.539872\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	−1.31154	+	0.426146i	−0.655772	+	0.213073i
$5$	3.15337	+	0.499445i	1.41023	+	0.223358i	0.814657	−	0.579943i	$-0.196925\pi$
$5$	3.15337	+	0.499445i	1.41023	+	0.223358i	0.595573	+	0.803301i	$0.296925\pi$
$6$	0.123272	−	0.778309i	0.0503256	−	0.317743i
$7$	−0.271920	+	0.533674i	−0.102776	+	0.201710i	−0.936668	−	0.350218i	$-0.886108\pi$
$7$	−0.271920	+	0.533674i	−0.102776	+	0.201710i	0.833892	+	0.551928i	$0.186108\pi$
$8$	2.37250	−	1.20885i	0.838806	−	0.427393i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−2.51586			−0.795586
$11$	3.20838	+	0.840425i	0.967362	+	0.253398i
$11$	3.20838	+	0.840425i	0.967362	+	0.253398i
$12$		−	1.37904i		−	0.398094i
$13$	2.09640	−	2.93345i	0.581437	−	0.813592i
$13$	2.09640	−	2.93345i	0.581437	−	0.813592i
$14$	0.145851	−	0.448883i	0.0389803	−	0.119969i
$15$	−1.44944	+	2.84470i	−0.374245	+	0.734497i
$16$	0.533810	−	0.387835i	0.133452	−	0.0969588i
$17$	−3.69031	+	2.68116i	−0.895030	+	0.650278i	−0.937185	−	0.348833i	$-0.886578\pi$
$17$	−3.69031	+	2.68116i	−0.895030	+	0.650278i	0.0421543	+	0.999111i	$0.486578\pi$
$18$	0.702123	+	0.357750i	0.165492	+	0.0843224i
$19$	2.46659	+	4.84096i	0.565875	+	1.11059i	0.979744	+	0.200256i	$0.0641773\pi$
$19$	2.46659	+	4.84096i	0.565875	+	1.11059i	−0.413868	+	0.910337i	$0.635823\pi$
$20$	−4.34862	+	0.688754i	−0.972381	+	0.154010i
$21$	−0.423526	−	0.423526i	−0.0924209	−	0.0924209i
$22$	−2.60071	−	0.258607i	−0.554473	−	0.0551352i
$23$		−	1.52456i		−	0.317892i	−0.987287	−	0.158946i	$-0.949190\pi$
$23$		−	1.52456i		−	0.317892i	0.987287	−	0.158946i	$-0.0508096\pi$
$24$	0.416541	+	2.62994i	0.0850261	+	0.536834i
$25$	4.93901	+	1.60478i	0.987803	+	0.320957i
$26$	−1.27003	+	2.54156i	−0.249074	+	0.498440i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	0.129212	−	0.815814i	0.0244188	−	0.154174i
$29$	−3.77647	+	1.22705i	−0.701274	+	0.227858i	−0.637885	−	0.770131i	$-0.720191\pi$
$29$	−3.77647	+	1.22705i	−0.701274	+	0.227858i	−0.0633882	+	0.997989i	$0.520191\pi$
$30$	0.777445	−	2.39273i	0.141941	−	0.436851i
$31$	0.763876	+	4.82293i	0.137196	+	0.866223i	0.956259	+	0.292520i	$0.0944937\pi$
$31$	0.763876	+	4.82293i	0.137196	+	0.866223i	−0.819063	+	0.573703i	$0.805506\pi$
$32$	−4.13331	+	4.13331i	−0.730674	+	0.730674i
$33$	−1.79073	+	2.79164i	−0.311727	+	0.485963i
$34$	2.54169	−	2.54169i	0.435896	−	0.435896i
$35$	−1.12401	+	1.54706i	−0.189992	+	0.261501i
$36$	1.31154	+	0.426146i	0.218591	+	0.0710244i
$37$	8.80025	+	4.48395i	1.44675	+	0.737157i	0.988437	−	0.151632i	$-0.0484529\pi$
$37$	8.80025	+	4.48395i	1.44675	+	0.737157i	0.458316	+	0.888789i	$0.348453\pi$
$38$	−2.51653	−	3.46370i	−0.408235	−	0.561887i
$39$	2.14205	+	2.90028i	0.343003	+	0.464416i
$40$	8.08513	−	2.62702i	1.27837	−	0.415368i
$41$	−2.26562	−	4.44654i	−0.353831	−	0.694432i	0.643654	−	0.765317i	$-0.277418\pi$
$41$	−2.26562	−	4.44654i	−0.353831	−	0.694432i	−0.997485	+	0.0708847i	$0.977418\pi$
$42$	0.381843	+	0.277425i	0.0589196	+	0.0428076i
$43$	−4.12244			−0.628667			−0.314333	−	0.949313i	$-0.601781\pi$
$43$	−4.12244			−0.628667			−0.314333	+	0.949313i	$0.601781\pi$
$44$	−4.56607	+	0.264985i	−0.688361	+	0.0399480i
$45$	−2.25756	−	2.25756i	−0.336538	−	0.336538i
$46$	0.187935	+	1.18658i	0.0277096	+	0.174951i
$47$	5.34303	+	10.4863i	0.779361	+	1.52958i	0.846832	+	0.531861i	$0.178507\pi$
$47$	5.34303	+	10.4863i	0.779361	+	1.52958i	−0.0674707	+	0.997721i	$0.521493\pi$
$48$	0.203897	+	0.627531i	0.0294300	+	0.0905763i
$49$	3.90363	+	5.37289i	0.557661	+	0.767555i
$50$	−4.04190	−	0.640175i	−0.571612	−	0.0905344i
$51$	−1.40957	−	4.33821i	−0.197379	−	0.607471i
$52$	−1.49944	+	4.74072i	−0.207935	+	0.657419i
$53$	−8.15213	−	5.92287i	−1.11978	−	0.813569i	−0.135606	−	0.990763i	$-0.543298\pi$
$53$	−8.15213	−	5.92287i	−1.11978	−	0.813569i	−0.984176	+	0.177194i	$0.943298\pi$
$54$	−0.557208	+	0.557208i	−0.0758264	+	0.0758264i
$55$	9.69746	+	4.25258i	1.30760	+	0.573417i
$56$			1.59485i			0.213121i
$57$	−5.36625	+	0.849930i	−0.710777	+	0.112576i
$58$	2.78800	−	1.42056i	0.366083	−	0.186529i
$59$	1.45854	+	0.743164i	0.189886	+	0.0967517i	0.546349	−	0.837558i	$-0.316017\pi$
$59$	1.45854	+	0.743164i	0.189886	+	0.0967517i	−0.356463	+	0.934310i	$0.616017\pi$
$60$	0.688754	−	4.34862i	0.0889177	−	0.561404i
$61$	−3.98729	−	5.48804i	−0.510521	−	0.702671i	0.473486	−	0.880801i	$-0.342995\pi$
$61$	−3.98729	−	5.48804i	−0.510521	−	0.702671i	−0.984007	+	0.178130i	$0.942995\pi$
$62$	−1.18906	−	3.65956i	−0.151011	−	0.464765i
$63$	0.533674	−	0.271920i	0.0672365	−	0.0342587i
$64$	1.93180	−	2.65890i	0.241475	−	0.332362i
$65$	8.07582	−	8.20321i	1.00168	−	1.01748i
$66$	1.04961	−	2.39351i	0.129199	−	0.294621i
$67$	−4.22698	−	4.22698i	−0.516408	−	0.516408i	0.400075	−	0.916483i	$-0.368984\pi$
$67$	−4.22698	−	4.22698i	−0.516408	−	0.516408i	−0.916483	+	0.400075i	$0.868984\pi$
$68$	3.69743	−	5.08907i	0.448379	−	0.617141i
$69$	1.44994	+	0.471114i	0.174552	+	0.0567155i
$70$	0.684115	−	1.34265i	0.0817673	−	0.160477i
$71$	0.137743	+	0.0218164i	0.0163471	+	0.00258913i	0.164603	−	0.986360i	$-0.447366\pi$
$71$	0.137743	+	0.0218164i	0.0163471	+	0.00258913i	−0.148256	+	0.988949i	$0.547366\pi$
$72$	−2.62994	−	0.416541i	−0.309941	−	0.0490898i
$73$	6.34820	−	12.4590i	0.743001	−	1.45822i	−0.140643	−	0.990060i	$-0.544917\pi$
$73$	6.34820	−	12.4590i	0.743001	−	1.45822i	0.883644	−	0.468160i	$-0.155083\pi$
$74$	−7.40207	−	2.40508i	−0.860473	−	0.279585i
$75$	−3.05248	+	4.20138i	−0.352470	+	0.485133i
$76$	−5.29800	−	5.29800i	−0.607723	−	0.607723i
$77$	−1.32094	+	1.48370i	−0.150535	+	0.169083i
$78$	−2.02470	−	1.99326i	−0.229252	−	0.225692i
$79$	3.28897	−	4.52688i	0.370038	−	0.509313i	−0.582873	−	0.812563i	$-0.698072\pi$
$79$	3.28897	−	4.52688i	0.370038	−	0.509313i	0.952911	+	0.303250i	$0.0980716\pi$
$80$	1.87700	−	0.956380i	0.209855	−	0.106927i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	2.31149	+	3.18149i	0.255261	+	0.351337i
$83$	1.05838	−	6.68236i	0.116172	−	0.733484i	−0.858990	−	0.511993i	$-0.828908\pi$
$83$	1.05838	−	6.68236i	0.116172	−	0.733484i	0.975162	−	0.221491i	$-0.0710925\pi$
$84$	0.735956	+	0.374989i	0.0802994	+	0.0409146i
$85$	−12.9760	+	6.61160i	−1.40744	+	0.717128i
$86$	3.20854	−	0.508182i	0.345985	−	0.0547987i
$87$		−	3.97082i		−	0.425717i
$88$	8.62782	−	1.88454i	0.919729	−	0.200892i
$89$	−3.55953	+	3.55953i	−0.377310	+	0.377310i	−0.870131	−	0.492821i	$-0.835966\pi$
$89$	−3.55953	+	3.55953i	−0.377310	+	0.377310i	0.492821	+	0.870131i	$0.335966\pi$
$90$	2.03538	+	1.47879i	0.214548	+	0.155878i
$91$	0.995450	+	1.91646i	0.104351	+	0.200899i
$92$	0.649685	+	1.99952i	0.0677343	+	0.208465i
$93$	−4.82293	−	0.763876i	−0.500114	−	0.0792103i
$94$	−5.45120	−	7.50293i	−0.562248	−	0.773868i
$95$	5.36029	+	16.4973i	0.549954	+	1.69258i
$96$	−2.65375	−	5.20828i	−0.270847	−	0.531568i
$97$	−1.56709	−	9.89423i	−0.159114	−	1.00461i	−0.929980	−	0.367610i	$-0.880176\pi$
$97$	−1.56709	−	9.89423i	−0.159114	−	1.00461i	0.770866	−	0.636997i	$-0.219824\pi$
$98$	−3.70056	−	3.70056i	−0.373813	−	0.373813i
$99$	−2.10164	−	2.56575i	−0.211223	−	0.257868i
$100$	−7.16160			−0.716160
$101$	−11.0789	−	8.04932i	−1.10240	−	0.800937i	−0.120946	−	0.992659i	$-0.538593\pi$
$101$	−11.0789	−	8.04932i	−1.10240	−	0.800937i	−0.981449	+	0.191722i	$0.938593\pi$
$102$	1.63186	+	3.20271i	0.161579	+	0.317116i
$103$	8.16126	−	2.65176i	0.804153	−	0.261285i	0.122034	−	0.992526i	$-0.461058\pi$
$103$	8.16126	−	2.65176i	0.804153	−	0.261285i	0.682119	+	0.731241i	$0.261058\pi$
$104$	1.42761	−	9.49384i	0.139989	−	0.930947i
$105$	−1.12401	−	1.54706i	−0.109692	−	0.150978i
$106$	7.07501	+	3.60490i	0.687185	+	0.350138i
$107$	7.51138	+	2.44059i	0.726152	+	0.235941i	0.648688	−	0.761054i	$-0.275318\pi$
$107$	7.51138	+	2.44059i	0.726152	+	0.235941i	0.0774637	+	0.996995i	$0.475318\pi$
$108$	−0.810579	+	1.11567i	−0.0779980	+	0.107355i
$109$	−3.53980	+	3.53980i	−0.339051	+	0.339051i	−0.856010	−	0.516959i	$-0.827064\pi$
$109$	−3.53980	+	3.53980i	−0.339051	+	0.339051i	0.516959	+	0.856010i	$0.327064\pi$
$110$	−8.07184	−	2.11439i	−0.769620	−	0.201600i
$111$	−6.98392	+	6.98392i	−0.662884	+	0.662884i
$112$	0.0618238	+	0.390340i	0.00584180	+	0.0368837i
$113$	−3.60447	+	11.0934i	−0.339080	+	1.04358i	0.625598	+	0.780146i	$0.284855\pi$
$113$	−3.60447	+	11.0934i	−0.339080	+	1.04358i	−0.964677	+	0.263434i	$0.915145\pi$
$114$	4.07183	−	1.32302i	0.381362	−	0.123912i
$115$	0.761432	−	4.80749i	0.0710039	−	0.448301i
$116$	4.43011	−	3.21866i	0.411325	−	0.298845i
$117$	−3.42026	+	1.14098i	−0.316203	+	0.105483i
$118$	−1.22681	−	0.398614i	−0.112937	−	0.0366954i
$119$	−0.427397	−	2.69848i	−0.0391795	−	0.247369i
$120$			8.50120i			0.776050i
$121$	9.58737	+	5.39280i	0.871579	+	0.490254i
$122$	3.77987	+	3.77987i	0.342213	+	0.342213i
$123$	4.92902	−	0.780681i	0.444435	−	0.0703916i
$124$	−3.05713	−	5.99995i	−0.274538	−	0.538812i
$125$	0.549555	+	0.280012i	0.0491537	+	0.0250451i
$126$	−0.381843	+	0.277425i	−0.0340173	+	0.0247150i
$127$	8.65332	−	6.28701i	0.767858	−	0.557881i	−0.133452	−	0.991055i	$-0.542606\pi$
$127$	8.65332	−	6.28701i	0.767858	−	0.557881i	0.901310	+	0.433174i	$0.142606\pi$
$128$	4.13173	−	8.10897i	0.365197	−	0.716739i
$129$	1.27390	−	3.92068i	0.112161	−	0.345196i
$130$	−5.27426	+	7.38016i	−0.462583	+	0.647282i
$131$			2.15640i			0.188405i	0.995553	+	0.0942027i	$0.0300302\pi$
$131$			2.15640i			0.188405i	−0.995553	+	0.0942027i	$0.969970\pi$
$132$	1.15898	−	4.42448i	0.100876	−	0.385101i
$133$	−3.25421			−0.282176
$134$	3.81097	+	2.76883i	0.329217	+	0.239190i
$135$	2.84470	−	1.44944i	0.244832	−	0.124748i
$136$	−5.51413	+	10.8221i	−0.472833	+	0.927986i
$137$	3.08891	−	19.5026i	0.263903	−	1.66622i	−0.398574	−	0.917136i	$-0.630495\pi$
$137$	3.08891	−	19.5026i	0.263903	−	1.66622i	0.662477	−	0.749082i	$-0.269505\pi$
$138$	−1.18658	−	0.187935i	−0.101008	−	0.0159981i
$139$	−2.14761	+	0.697801i	−0.182158	+	0.0591867i	−0.398676	−	0.917092i	$-0.630530\pi$
$139$	−2.14761	+	0.697801i	−0.182158	+	0.0591867i	0.216518	+	0.976279i	$0.430530\pi$
$140$	0.814908	−	2.50803i	0.0688723	−	0.211967i
$141$	−11.6241	+	1.84108i	−0.978929	+	0.155047i
$142$	−0.109896			−0.00922227
$143$	9.19138	−	7.64974i	0.768622	−	0.639703i
$144$	−0.659825			−0.0549854
$145$	−12.5215	+	1.98320i	−1.03985	+	0.164696i
$146$	−3.40501	+	10.4795i	−0.281801	+	0.867293i
$147$	−6.31621	+	2.05226i	−0.520952	+	0.169268i
$148$	−13.4527	−	2.13070i	−1.10581	−	0.175143i
$149$	2.51753	−	15.8950i	0.206244	−	1.30217i	−0.639586	−	0.768719i	$-0.720894\pi$
$149$	2.51753	−	15.8950i	0.206244	−	1.30217i	0.845830	−	0.533453i	$-0.179106\pi$
$150$	1.85786	−	3.64625i	0.151694	−	0.297715i
$151$	−7.42837	+	3.78494i	−0.604512	+	0.308014i	−0.729327	−	0.684166i	$-0.760167\pi$
$151$	−7.42837	+	3.78494i	−0.604512	+	0.308014i	0.124814	+	0.992180i	$0.460167\pi$
$152$	11.7040	+	8.50344i	0.949319	+	0.689720i
$153$	4.56147			0.368773
$154$	0.845198	−	1.31761i	0.0681080	−	0.106176i
$155$			15.5900i			1.25222i
$156$	−4.04534	−	2.89102i	−0.323886	−	0.231466i
$157$	−0.686605	+	2.11315i	−0.0547970	+	0.168648i	−0.974709	−	0.223476i	$-0.928260\pi$
$157$	−0.686605	+	2.11315i	−0.0547970	+	0.168648i	0.919912	+	0.392124i	$0.128260\pi$
$158$	−2.00180	+	3.92875i	−0.159254	+	0.312554i
$159$	8.15213	−	5.92287i	0.646506	−	0.469714i
$160$	−15.0982	+	10.9695i	−1.19362	+	0.867216i
$161$	0.813616	+	0.414558i	0.0641219	+	0.0326718i
$162$	−0.357750	−	0.702123i	−0.0281075	−	0.0551640i
$163$	19.9164	−	3.15445i	1.55997	−	0.247076i	0.684017	−	0.729466i	$-0.260231\pi$
$163$	19.9164	−	3.15445i	1.55997	−	0.247076i	0.875956	+	0.482390i	$0.160231\pi$
$164$	4.86634	+	4.86634i	0.379997	+	0.379997i
$165$	−7.04112	+	7.90871i	−0.548150	+	0.615692i
$166$			5.33141i			0.413798i
$167$	2.47082	+	15.6002i	0.191198	+	1.20718i	0.877398	+	0.479763i	$0.159277\pi$
$167$	2.47082	+	15.6002i	0.191198	+	1.20718i	−0.686200	+	0.727413i	$0.740723\pi$
$168$	−1.51679	−	0.492836i	−0.117023	−	0.0380231i
$169$	−4.21022	−	12.2994i	−0.323863	−	0.946104i
$170$	9.28431	−	6.74544i	0.712074	−	0.517352i
$171$	0.849930	−	5.36625i	0.0649958	−	0.410367i
$172$	5.40676	−	1.75676i	0.412262	−	0.133952i
$173$	−1.85613	+	5.71258i	−0.141119	+	0.434319i	−0.996492	−	0.0836939i	$-0.973328\pi$
$173$	−1.85613	+	5.71258i	−0.141119	+	0.434319i	0.855373	+	0.518013i	$0.173328\pi$
$174$	0.489491	+	3.09053i	0.0371082	+	0.234292i
$175$	−2.19945	+	2.19945i	−0.166263	+	0.166263i
$176$	2.03861	−	0.795695i	0.153666	−	0.0599778i
$177$	−1.15750	+	1.15750i	−0.0870034	+	0.0870034i
$178$	2.33163	−	3.20921i	0.174763	−	0.240540i
$179$	−17.4947	−	5.68437i	−1.30761	−	0.424870i	−0.429390	−	0.903119i	$-0.641272\pi$
$179$	−17.4947	−	5.68437i	−1.30761	−	0.424870i	−0.878224	+	0.478249i	$0.841272\pi$
$180$	3.92295	+	1.99884i	0.292399	+	0.148985i
$181$	10.7235	+	14.7597i	0.797073	+	1.09708i	0.993191	+	0.116497i	$0.0371665\pi$
$181$	10.7235	+	14.7597i	0.797073	+	1.09708i	−0.196118	+	0.980580i	$0.562833\pi$
$182$	−1.01101	−	1.36888i	−0.0749413	−	0.101468i
$183$	6.45158	−	2.09624i	0.476914	−	0.154959i
$184$	−1.84296	−	3.61701i	−0.135865	−	0.266650i
$185$	25.5110	+	18.5348i	1.87560	+	1.36271i
$186$	3.84789			0.282141
$187$	−14.0932	+	5.50076i	−1.03060	+	0.402256i
$188$	−11.4763	−	11.4763i	−0.836996	−	0.836996i
$189$	0.0936973	+	0.591582i	0.00681548	+	0.0430312i
$190$	−6.20561	−	12.1792i	−0.450202	−	0.883572i
$191$	−4.03284	−	12.4118i	−0.291806	−	0.898088i	−0.984275	−	0.176640i	$-0.943477\pi$
$191$	−4.03284	−	12.4118i	−0.291806	−	0.898088i	0.692469	−	0.721448i	$-0.256523\pi$
$192$	1.93180	+	2.65890i	0.139416	+	0.191890i
$193$	−11.6219	−	1.84072i	−0.836561	−	0.132498i	−0.276567	−	0.960995i	$-0.589197\pi$
$193$	−11.6219	−	1.84072i	−0.836561	−	0.132498i	−0.559994	+	0.828496i	$0.689197\pi$
$194$	2.43936	+	7.50759i	0.175136	+	0.539014i
$195$	5.30615	+	10.2155i	0.379981	+	0.731546i
$196$	−7.40942	−	5.38326i	−0.529244	−	0.384518i
$197$	10.8824	−	10.8824i	0.775340	−	0.775340i	−0.203694	−	0.979035i	$-0.565295\pi$
$197$	10.8824	−	10.8824i	0.775340	−	0.775340i	0.979035	+	0.203694i	$0.0652949\pi$
$198$	1.95201	+	1.73788i	0.138724	+	0.123506i
$199$			14.5533i			1.03166i	0.856692	+	0.515828i	$0.172516\pi$
$199$			14.5533i			1.03166i	−0.856692	+	0.515828i	$0.827484\pi$
$200$	13.6578	−	2.16318i	0.965749	−	0.152960i
$201$	5.32631	−	2.71389i	0.375689	−	0.191423i
$202$	9.61509	+	4.89914i	0.676516	+	0.344702i
$203$	0.372055	−	2.34906i	0.0261132	−	0.164872i
$204$	3.69743	+	5.08907i	0.258872	+	0.356306i
$205$	−4.92355	−	15.1531i	−0.343876	−	1.05834i
$206$	−6.02510	+	3.06994i	−0.419789	+	0.213893i
$207$	−0.896113	+	1.23339i	−0.0622841	+	0.0857267i
$208$	−0.0186165	−	2.37896i	−0.00129082	−	0.164951i
$209$	3.84530	+	17.6046i	0.265985	+	1.21774i
$210$	1.06553	+	1.06553i	0.0735288	+	0.0735288i
$211$	3.91537	−	5.38904i	0.269545	−	0.370997i	−0.652691	−	0.757624i	$-0.726360\pi$
$211$	3.91537	−	5.38904i	0.269545	−	0.370997i	0.922236	+	0.386627i	$0.126360\pi$
$212$	13.2159	+	4.29410i	0.907671	+	0.294920i
$213$	−0.0633135	+	0.124260i	−0.00433817	+	0.00851414i
$214$	−6.14703	−	0.973594i	−0.420202	−	0.0665535i
$215$	−12.9996	−	2.05893i	−0.886565	−	0.140418i
$216$	1.20885	−	2.37250i	0.0822518	−	0.161428i
$217$	−2.78158	−	0.903791i	−0.188826	−	0.0613533i
$218$	2.31870	−	3.19142i	0.157042	−	0.216150i
$219$	9.88755	+	9.88755i	0.668139	+	0.668139i
$220$	−14.5309	−	1.44490i	−0.979670	−	0.0974155i
$221$	0.128698	+	16.4461i	0.00865719	+	1.10628i
$222$	4.57473	−	6.29657i	0.307036	−	0.422598i
$223$	−15.4756	+	7.88520i	−1.03632	+	0.528032i	−0.887488	−	0.460830i	$-0.847552\pi$
$223$	−15.4756	+	7.88520i	−1.03632	+	0.528032i	−0.148833	+	0.988862i	$0.547552\pi$
$224$	−1.08191	−	3.32977i	−0.0722881	−	0.222480i
$225$	−3.05248	−	4.20138i	−0.203499	−	0.280092i
$226$	1.43788	−	9.07843i	0.0956465	−	0.603889i
$227$	−18.0576	−	9.20083i	−1.19853	−	0.610680i	−0.263296	−	0.964715i	$-0.584809\pi$
$227$	−18.0576	−	9.20083i	−1.19853	−	0.610680i	−0.935232	+	0.354035i	$0.884809\pi$
$228$	6.67587	−	3.40153i	0.442120	−	0.225272i
$229$	25.0969	−	3.97495i	1.65845	−	0.262672i	0.744238	−	0.667915i	$-0.232813\pi$
$229$	25.0969	−	3.97495i	1.65845	−	0.262672i	0.914209	+	0.405243i	$0.132813\pi$
$230$			3.83558i			0.252911i
$231$	−1.00289	−	1.71477i	−0.0659853	−	0.112824i
$232$	−7.47637	+	7.47637i	−0.490848	+	0.490848i
$233$	−9.87500	−	7.17461i	−0.646933	−	0.470024i	0.215292	−	0.976550i	$-0.430930\pi$
$233$	−9.87500	−	7.17461i	−0.646933	−	0.470024i	−0.862225	+	0.506526i	$0.830930\pi$
$234$	2.52137	−	1.30965i	0.164827	−	0.0856148i
$235$	11.6112	+	35.7357i	0.757433	+	2.33114i
$236$	−2.22964	−	0.353140i	−0.145137	−	0.0229874i
$237$	3.28897	+	4.52688i	0.213641	+	0.294052i
$238$	0.665295	+	2.04757i	0.0431247	+	0.132724i
$239$	11.9671	+	23.4868i	0.774088	+	1.51923i	0.852743	+	0.522331i	$0.174938\pi$
$239$	11.9671	+	23.4868i	0.774088	+	1.51923i	−0.0786546	+	0.996902i	$0.525062\pi$
$240$	0.329546	+	2.08067i	0.0212721	+	0.134307i
$241$	14.1813	+	14.1813i	0.913495	+	0.913495i	0.996545	−	0.0830503i	$-0.0264662\pi$
$241$	14.1813	+	14.1813i	0.913495	+	0.913495i	−0.0830503	+	0.996545i	$0.526466\pi$
$242$	−8.12672	−	3.01541i	−0.522406	−	0.193838i
$243$	−1.00000			−0.0641500
$244$	7.56822	+	5.49863i	0.484506	+	0.352014i
$245$	9.62613	+	18.8923i	0.614991	+	1.20699i
$246$	−3.74007	+	1.21522i	−0.238458	+	0.0774797i
$247$	19.3717	+	2.91297i	1.23259	+	0.185348i
$248$	7.64249	+	10.5190i	0.485299	+	0.667956i
$249$	6.02824	+	3.07154i	0.382024	+	0.194651i
$250$	−0.462241	−	0.150191i	−0.0292347	−	0.00949894i
$251$	−5.00449	+	6.88809i	−0.315880	+	0.434772i	−0.937204	−	0.348782i	$-0.886595\pi$
$251$	−5.00449	+	6.88809i	−0.315880	+	0.434772i	0.621323	+	0.783554i	$0.286595\pi$
$252$	−0.584058	+	0.584058i	−0.0367922	+	0.0367922i
$253$	1.28128	−	4.89136i	0.0805531	−	0.307517i
$254$	−5.95995	+	5.95995i	−0.373960	+	0.373960i
$255$	−2.27820	−	14.3840i	−0.142666	−	0.900761i
$256$	−4.24737	+	13.0721i	−0.265461	+	0.817004i
$257$	−14.0280	+	4.55798i	−0.875044	+	0.284319i	−0.711898	−	0.702283i	$-0.752164\pi$
$257$	−14.0280	+	4.55798i	−0.875044	+	0.284319i	−0.163146	+	0.986602i	$0.552164\pi$
$258$	−0.508182	+	3.20854i	−0.0316380	+	0.199755i
$259$	−4.78593	+	3.47719i	−0.297384	+	0.216062i
$260$	−7.09602	+	14.2003i	−0.440076	+	0.880668i
$261$	3.77647	+	1.22705i	0.233758	+	0.0759525i
$262$	−0.265824	−	1.67835i	−0.0164227	−	0.103689i
$263$		−	11.5671i		−	0.713256i	−0.934247	−	0.356628i	$-0.883926\pi$
$263$		−	11.5671i		−	0.713256i	0.934247	−	0.356628i	$-0.116074\pi$
$264$	−0.873843	+	8.78790i	−0.0537813	+	0.540858i
$265$	−22.7485	−	22.7485i	−1.39743	−	1.39743i
$266$	2.53278	−	0.401153i	0.155295	−	0.0245963i
$267$	−2.28536	−	4.48527i	−0.139862	−	0.274494i
$268$	7.34518	+	3.74256i	0.448678	+	0.228613i
$269$	2.21131	−	1.60661i	0.134826	−	0.0979568i	−0.518328	−	0.855182i	$-0.673445\pi$
$269$	2.21131	−	1.60661i	0.134826	−	0.0979568i	0.653154	+	0.757225i	$0.273445\pi$
$270$	−2.03538	+	1.47879i	−0.123869	+	0.0899962i
$271$	1.11494	−	2.18819i	0.0677276	−	0.132923i	−0.854661	−	0.519187i	$-0.826235\pi$
$271$	1.11494	−	2.18819i	0.0677276	−	0.132923i	0.922388	+	0.386264i	$0.126235\pi$
$272$	−0.930070	+	2.86246i	−0.0563938	+	0.173562i
$273$	−2.13027	+	0.354511i	−0.128930	+	0.0214560i
$274$			15.5598i			0.940003i
$275$	14.4975	+	9.29962i	0.874233	+	0.560788i
$276$	−2.10242			−0.126551
$277$	−11.5830	−	8.41551i	−0.695952	−	0.505639i	0.182659	−	0.983176i	$-0.441530\pi$
$277$	−11.5830	−	8.41551i	−0.695952	−	0.505639i	−0.878611	+	0.477537i	$0.841530\pi$
$278$	1.58549	−	0.807845i	0.0950911	−	0.0484513i
$279$	2.21686	−	4.35082i	0.132720	−	0.260477i
$280$	−0.796540	+	5.02916i	−0.0476024	+	0.300550i
$281$	−27.1802	−	4.30492i	−1.62143	−	0.256810i	−0.721364	−	0.692556i	$-0.756485\pi$
$281$	−27.1802	−	4.30492i	−1.62143	−	0.256810i	−0.900070	+	0.435746i	$0.856485\pi$
$282$	8.82022	−	2.86586i	0.525237	−	0.170660i
$283$	6.33666	−	19.5022i	0.376675	−	1.15929i	−0.565666	−	0.824635i	$-0.691381\pi$
$283$	6.33666	−	19.5022i	0.376675	−	1.15929i	0.942341	−	0.334653i	$-0.108619\pi$
$284$	−0.189953	+	0.0300856i	−0.0112716	+	0.00178525i
$285$	−17.3463			−1.02750
$286$	−6.21074	+	7.08690i	−0.367249	+	0.419057i
$287$	2.98907			0.176439
$288$	5.77342	−	0.914420i	0.340202	−	0.0538827i
$289$	1.17642	−	3.62066i	0.0692015	−	0.212980i
$290$	9.50110	−	3.08709i	0.557924	−	0.181280i
$291$	9.89423	+	1.56709i	0.580010	+	0.0918646i
$292$	−3.01656	+	19.0458i	−0.176531	+	1.11457i
$293$	11.6646	−	22.8930i	0.681451	−	1.33742i	−0.248102	−	0.968734i	$-0.579807\pi$
$293$	11.6646	−	22.8930i	0.681451	−	1.33742i	0.929553	−	0.368689i	$-0.120193\pi$
$294$	4.66298	−	2.37590i	0.271950	−	0.138566i
$295$	4.22815	+	3.07193i	0.246172	+	0.178855i
$296$	26.2990			1.52860
$297$	3.08962	−	1.20592i	0.179278	−	0.0699745i
$298$			12.6816i			0.734625i
$299$	−4.47221	−	3.19608i	−0.258635	−	0.184834i
$300$	2.21306	−	6.81109i	0.127771	−	0.393238i
$301$	1.12098	−	2.20004i	0.0646120	−	0.126808i
$302$	5.31499	−	3.86157i	0.305843	−	0.222208i
$303$	11.0789	−	8.04932i	0.636468	−	0.462421i
$304$	3.19419	+	1.62752i	0.183199	+	0.0933446i
$305$	−9.83244	−	19.2972i	−0.563004	−	1.10496i
$306$	−3.55023	+	0.562302i	−0.202953	+	0.0321446i
$307$	−7.34169	−	7.34169i	−0.419013	−	0.419013i	0.465851	−	0.884863i	$-0.345748\pi$
$307$	−7.34169	−	7.34169i	−0.419013	−	0.419013i	−0.884863	+	0.465851i	$0.845748\pi$
$308$	1.10019	−	2.50885i	0.0626892	−	0.142955i
$309$			8.58126i			0.488171i
$310$	−1.92181	−	12.1338i	−0.109151	−	0.689155i
$311$	−11.7531	−	3.81882i	−0.666458	−	0.216545i	−0.0438009	−	0.999040i	$-0.513947\pi$
$311$	−11.7531	−	3.81882i	−0.666458	−	0.216545i	−0.622657	+	0.782495i	$0.713947\pi$
$312$	8.58802	+	4.29150i	0.486201	+	0.242958i
$313$	19.6401	−	14.2693i	1.11012	−	0.806551i	0.127439	−	0.991846i	$-0.459324\pi$
$313$	19.6401	−	14.2693i	1.11012	−	0.806551i	0.982683	+	0.185295i	$0.0593242\pi$
$314$	0.273898	−	1.72932i	0.0154570	−	0.0975914i
$315$	1.81868	−	0.590925i	0.102471	−	0.0332948i
$316$	−2.38451	+	7.33878i	−0.134139	+	0.412838i
$317$	−3.45440	−	21.8102i	−0.194018	−	1.22498i	−0.871852	−	0.489769i	$-0.837081\pi$
$317$	−3.45440	−	21.8102i	−0.194018	−	1.22498i	0.677834	−	0.735215i	$-0.262919\pi$
$318$	−5.61476	+	5.61476i	−0.314860	+	0.314860i
$319$	−13.1476	+	0.763001i	−0.736124	+	0.0427198i
$320$	7.41967	−	7.41967i	0.414772	−	0.414772i
$321$	−4.64229	+	6.38956i	−0.259107	+	0.356630i
$322$	−0.684348	−	0.222358i	−0.0381372	−	0.0123915i
$323$	−22.0819	−	11.2513i	−1.22867	−	0.626038i
$324$	−0.810579	−	1.11567i	−0.0450321	−	0.0619814i
$325$	15.0617	−	11.1241i	0.835472	−	0.617052i
$326$	−15.1123	+	4.91028i	−0.836991	+	0.271955i
$327$	−2.27269	−	4.46041i	−0.125680	−	0.246661i
$328$	−10.7504	−	7.81061i	−0.593591	−	0.431269i
$329$	−7.04913			−0.388631
$330$	4.50525	−	7.02340i	0.248006	−	0.386625i
$331$	−16.3204	−	16.3204i	−0.897049	−	0.897049i	0.0981251	−	0.995174i	$-0.468715\pi$
$331$	−16.3204	−	16.3204i	−0.897049	−	0.897049i	−0.995174	+	0.0981251i	$0.968715\pi$
$332$	1.45955	+	9.21523i	0.0801032	+	0.505751i
$333$	−4.48395	−	8.80025i	−0.245719	−	0.482251i
$334$	−3.84613	−	11.8372i	−0.210451	−	0.647701i
$335$	−11.2181	−	15.4404i	−0.612910	−	0.843598i
$336$	−0.390340	−	0.0618238i	−0.0212948	−	0.00337277i
$337$	−8.79186	−	27.0586i	−0.478923	−	1.47397i	−0.840593	−	0.541668i	$-0.817793\pi$
$337$	−8.79186	−	27.0586i	−0.478923	−	1.47397i	0.361669	−	0.932306i	$-0.382207\pi$
$338$	4.79302	+	9.05370i	0.260706	+	0.492456i
$339$	−9.43662	−	6.85610i	−0.512527	−	0.372373i
$340$	14.2011	−	14.2011i	0.770161	−	0.770161i
$341$	−1.60250	+	16.1157i	−0.0867803	+	0.872717i
$342$			4.28137i			0.231510i
$343$	−8.06991	+	1.27815i	−0.435734	+	0.0690136i
$344$	−9.78050	+	4.98341i	−0.527329	+	0.268688i
$345$	4.33690	+	2.20976i	0.233491	+	0.118970i
$346$	0.740441	−	4.67496i	0.0398064	−	0.251328i
$347$	−4.40325	−	6.06056i	−0.236379	−	0.325348i	0.674304	−	0.738454i	$-0.264444\pi$
$347$	−4.40325	−	6.06056i	−0.236379	−	0.325348i	−0.910683	+	0.413106i	$0.864444\pi$
$348$	1.69215	+	5.20790i	0.0907088	+	0.279173i
$349$	−15.6666	+	7.98255i	−0.838616	+	0.427296i	−0.819885	−	0.572528i	$-0.805963\pi$
$349$	−15.6666	+	7.98255i	−0.838616	+	0.427296i	−0.0187310	+	0.999825i	$0.505963\pi$
$350$	1.44072	−	1.98298i	0.0770097	−	0.105995i
$351$	−0.0282142	−	3.60544i	−0.00150596	−	0.192444i
$352$	−16.7350	+	9.78749i	−0.891977	+	0.521675i
$353$	−0.721481	−	0.721481i	−0.0384006	−	0.0384006i	0.687646	−	0.726046i	$-0.258644\pi$
$353$	−0.721481	−	0.721481i	−0.0384006	−	0.0384006i	−0.726046	+	0.687646i	$0.758644\pi$
$354$	0.758209	−	1.04358i	0.0402983	−	0.0554659i
$355$	0.423459	+	0.137590i	0.0224749	+	0.00730252i
$356$	3.15160	−	6.18536i	0.167034	−	0.327823i
$357$	2.69848	+	0.427397i	0.142819	+	0.0226203i
$358$	14.3170	+	2.26759i	0.756677	+	0.119846i
$359$	−0.631965	+	1.24030i	−0.0333538	+	0.0654606i	−0.907082	−	0.420954i	$-0.861695\pi$
$359$	−0.631965	+	1.24030i	−0.0333538	+	0.0654606i	0.873728	+	0.486414i	$0.161695\pi$
$360$	−8.08513	−	2.62702i	−0.426124	−	0.138456i
$361$	−6.18290	+	8.51003i	−0.325416	+	0.447897i
$362$	−10.1657	−	10.1657i	−0.534296	−	0.534296i
$363$	−8.09152	+	7.45167i	−0.424695	+	0.391111i
$364$	−2.12227	−	2.08931i	−0.111237	−	0.109510i
$365$	26.2408	−	36.1174i	1.37351	−	1.89047i
$366$	−4.76291	+	2.42683i	−0.248961	+	0.126852i
$367$	−8.21141	−	25.2721i	−0.428632	−	1.31919i	−0.899473	−	0.436976i	$-0.856049\pi$
$367$	−8.21141	−	25.2721i	−0.428632	−	1.31919i	0.470841	−	0.882218i	$-0.343951\pi$
$368$	−0.591277	−	0.813823i	−0.0308225	−	0.0424235i
$369$	−0.780681	+	4.92902i	−0.0406406	+	0.256595i
$370$	−22.1402	−	11.2810i	−1.15102	−	0.586472i
$371$	5.37761	−	2.74003i	0.279192	−	0.142255i
$372$	6.65100	−	1.05342i	0.344838	−	0.0546170i
$373$			5.80516i			0.300580i	0.988642	+	0.150290i	$0.0480207\pi$
$373$			5.80516i			0.300580i	−0.988642	+	0.150290i	$0.951979\pi$
$374$	10.2908	−	6.01859i	0.532124	−	0.311214i
$375$	−0.436129	+	0.436129i	−0.0225216	+	0.0225216i
$376$	25.3527	+	18.4198i	1.30746	+	0.949929i
$377$	−4.31751	+	13.6505i	−0.222363	+	0.703035i
$378$	−0.145851	−	0.448883i	−0.00750177	−	0.0230881i
$379$	−8.92323	−	1.41330i	−0.458356	−	0.0725964i	−0.0770128	−	0.997030i	$-0.524538\pi$
$379$	−8.92323	−	1.41330i	−0.458356	−	0.0725964i	−0.381343	+	0.924434i	$0.624538\pi$
$380$	−14.0605	−	19.3526i	−0.721288	−	0.992768i
$381$	3.30527	+	10.1726i	0.169334	+	0.521157i
$382$	4.66883	+	9.16310i	0.238878	+	0.468825i
$383$	−1.33078	−	8.40219i	−0.0679995	−	0.429332i	−0.998078	−	0.0619709i	$-0.980261\pi$
$383$	−1.33078	−	8.40219i	−0.0679995	−	0.429332i	0.930078	−	0.367361i	$-0.119739\pi$
$384$	6.43532	+	6.43532i	0.328401	+	0.328401i
$385$	−4.90642	+	4.01891i	−0.250054	+	0.204823i
$386$	9.27233			0.471949
$387$	3.33513	+	2.42311i	0.169534	+	0.123174i
$388$	6.27170	+	12.3089i	0.318397	+	0.624890i
$389$	9.04649	−	2.93938i	0.458675	−	0.149033i	−0.0705603	−	0.997508i	$-0.522479\pi$
$389$	9.04649	−	2.93938i	0.458675	−	0.149033i	0.529236	+	0.848475i	$0.322479\pi$
$390$	−5.38911	−	7.29671i	−0.272888	−	0.369483i
$391$	4.08759	+	5.62608i	0.206718	+	0.284523i
$392$	15.7564	+	8.02827i	0.795817	+	0.405489i
$393$	−2.05086	−	0.666364i	−0.103452	−	0.0336136i
$394$	−7.12839	+	9.81139i	−0.359123	+	0.494291i
$395$	12.6323	−	12.6323i	0.635598	−	0.635598i
$396$	3.84978	+	2.46949i	0.193459	+	0.124097i
$397$	−20.4078	+	20.4078i	−1.02424	+	1.02424i	−0.0245390	+	0.999699i	$0.507812\pi$
$397$	−20.4078	+	20.4078i	−1.02424	+	1.02424i	−0.999699	+	0.0245390i	$0.992188\pi$
$398$	−1.79402	−	11.3270i	−0.0899259	−	0.567770i
$399$	1.00561	−	3.09494i	0.0503433	−	0.154941i
$400$	3.25888	−	1.05888i	0.162944	−	0.0529438i
$401$	−2.80496	+	17.7098i	−0.140073	+	0.884387i	0.813136	+	0.582074i	$0.197759\pi$
$401$	−2.80496	+	17.7098i	−0.140073	+	0.884387i	−0.953209	+	0.302313i	$0.902241\pi$
$402$	−3.81097	+	2.76883i	−0.190074	+	0.138097i
$403$	15.7492	+	7.86999i	0.784523	+	0.392032i
$404$	17.9607	+	5.83578i	0.893578	+	0.290341i
$405$	0.499445	+	3.15337i	0.0248176	+	0.156692i
$406$			1.87416i			0.0930131i
$407$	24.4661	+	21.7822i	1.21274	+	1.07970i
$408$	−8.58846	−	8.58846i	−0.425192	−	0.425192i
$409$	10.5072	−	1.66418i	0.519549	−	0.0822885i	0.108848	−	0.994058i	$-0.465284\pi$
$409$	10.5072	−	1.66418i	0.519549	−	0.0822885i	0.410701	+	0.911770i	$0.365284\pi$
$410$	5.70000	+	11.1869i	0.281503	+	0.552481i
$411$	17.5935	+	8.96435i	0.867825	+	0.442179i
$412$	−9.57382	+	6.95579i	−0.471668	+	0.342687i
$413$	−0.793214	+	0.576303i	−0.0390315	+	0.0283580i
$414$	0.545410	−	1.07043i	0.0268054	−	0.0526086i
$415$	6.67494	−	20.5433i	0.327660	−	1.00843i
$416$	3.45978	+	20.7899i	0.169630	+	1.01931i
$417$		−	2.25813i		−	0.110581i
$418$	−5.16299	−	13.2278i	−0.252530	−	0.646994i
$419$	7.14582			0.349096			0.174548	−	0.984649i	$-0.444154\pi$
$419$	7.14582			0.349096			0.174548	+	0.984649i	$0.444154\pi$
$420$	2.13346	+	1.55005i	0.104102	+	0.0756346i
$421$	2.21493	−	1.12856i	0.107949	−	0.0550029i	−0.399182	−	0.916872i	$-0.630706\pi$
$421$	2.21493	−	1.12856i	0.107949	−	0.0550029i	0.507131	+	0.861869i	$0.330706\pi$
$422$	−2.38305	+	4.67700i	−0.116005	+	0.227673i
$423$	1.84108	−	11.6241i	0.0895165	−	0.565185i
$424$	−26.5008	−	4.19731i	−1.28699	−	0.203840i
$425$	−22.5292	+	7.32017i	−1.09282	+	0.355080i
$426$	0.0339598	−	0.104517i	0.00164536	−	0.00506388i
$427$	4.01305	−	0.635604i	0.194205	−	0.0307590i
$428$	−10.8915			−0.526463
$429$	4.43504	+	11.1054i	0.214126	+	0.536175i
$430$	10.3715			0.500159
$431$	−18.6556	+	2.95475i	−0.898608	+	0.142325i	−0.588615	−	0.808414i	$-0.700327\pi$
$431$	−18.6556	+	2.95475i	−0.898608	+	0.142325i	−0.309993	+	0.950739i	$0.600327\pi$
$432$	0.203897	−	0.627531i	0.00981000	−	0.0301921i
$433$	8.86915	−	2.88176i	0.426224	−	0.138489i	−0.0880469	−	0.996116i	$-0.528063\pi$
$433$	8.86915	−	2.88176i	0.426224	−	0.138489i	0.514271	+	0.857628i	$0.328063\pi$
$434$	2.27634	+	0.360537i	0.109268	+	0.0173063i
$435$	1.98320	−	12.5215i	0.0950874	−	0.600358i
$436$	3.13413	−	6.15108i	0.150098	−	0.294583i
$437$	7.38032	−	3.76046i	0.353049	−	0.179887i
$438$	−8.91443	−	6.47671i	−0.425948	−	0.309469i
$439$	−30.6499			−1.46284			−0.731421	−	0.681926i	$-0.761142\pi$
$439$	−30.6499			−1.46284			−0.731421	+	0.681926i	$0.761142\pi$
$440$	28.1479	−	1.63352i	1.34190	−	0.0778751i
$441$		−	6.64125i		−	0.316250i
$442$	−2.12751	−	12.7843i	−0.101195	−	0.608087i
$443$	1.43748	−	4.42411i	0.0682968	−	0.210196i	−0.911083	−	0.412222i	$-0.864753\pi$
$443$	1.43748	−	4.42411i	0.0682968	−	0.210196i	0.979380	+	0.202026i	$0.0647527\pi$
$444$	6.18354	−	12.1359i	0.293458	−	0.575944i
$445$	−13.0023	+	9.44673i	−0.616368	+	0.447818i
$446$	11.0728	−	8.04483i	0.524310	−	0.380934i
$447$	14.3391	+	7.30615i	0.678217	+	0.345569i
$448$	0.893688	+	1.75396i	0.0422228	+	0.0828669i
$449$	6.05930	−	0.959699i	0.285956	−	0.0452910i	−0.0118086	−	0.999930i	$-0.503759\pi$
$449$	6.05930	−	0.959699i	0.285956	−	0.0452910i	0.297765	+	0.954639i	$0.403759\pi$
$450$	2.89368	+	2.89368i	0.136410	+	0.136410i
$451$	−3.53200	−	16.1703i	−0.166315	−	0.761427i
$452$		−	16.0855i		−	0.756599i
$453$	−1.30420	−	8.23441i	−0.0612768	−	0.386887i
$454$	15.1886	+	4.93509i	0.712838	+	0.231615i
$455$	2.18186	+	6.54047i	0.102287	+	0.306622i
$456$	−11.7040	+	8.50344i	−0.548089	+	0.398210i
$457$	−1.04224	+	6.58043i	−0.0487538	+	0.307819i	−1.00000		0.000613824i	$-0.999805\pi$
$457$	−1.04224	+	6.58043i	−0.0487538	+	0.307819i	0.951246	+	0.308433i	$0.0998046\pi$
$458$	−19.0431	+	6.18748i	−0.889826	+	0.289122i
$459$	−1.40957	+	4.33821i	−0.0657931	+	0.202490i
$460$	1.05004	+	6.62972i	0.0489586	+	0.309112i
$461$	−10.0789	+	10.0789i	−0.469422	+	0.469422i	−0.901727	−	0.432305i	$-0.857700\pi$
$461$	−10.0789	+	10.0789i	−0.469422	+	0.469422i	0.432305	+	0.901727i	$0.357700\pi$
$462$	0.991941	+	1.21099i	0.0461493	+	0.0563406i
$463$	12.4340	−	12.4340i	0.577858	−	0.577858i	−0.356455	−	0.934313i	$-0.616015\pi$
$463$	12.4340	−	12.4340i	0.577858	−	0.577858i	0.934313	+	0.356455i	$0.116015\pi$
$464$	−1.54002	+	2.11966i	−0.0714938	+	0.0984028i
$465$	−14.8270	−	4.81757i	−0.687584	−	0.223409i
$466$	8.57023	+	4.36675i	0.397008	+	0.202286i
$467$	22.5085	+	30.9803i	1.04157	+	1.43360i	0.895897	+	0.444263i	$0.146534\pi$
$467$	22.5085	+	30.9803i	1.04157	+	1.43360i	0.145672	+	0.989333i	$0.453466\pi$
$468$	3.99960	−	2.95397i	0.184881	−	0.136547i
$469$	3.40523	−	1.10643i	0.157239	−	0.0510900i
$470$	−13.4423	−	26.3821i	−0.620049	−	1.21691i
$471$	−1.79755	−	1.30600i	−0.0828269	−	0.0601773i
$472$	4.35876			0.200628
$473$	−13.2264	−	3.46460i	−0.608148	−	0.159303i
$474$	−3.11787	−	3.11787i	−0.143209	−	0.143209i
$475$	4.41384	+	27.8679i	0.202521	+	1.27867i
$476$	1.71050	+	3.35704i	0.0784006	+	0.153870i
$477$	3.11384	+	9.58341i	0.142573	+	0.438794i
$478$	−12.2094	−	16.8048i	−0.558444	−	0.768632i
$479$	−11.3348	−	1.79525i	−0.517899	−	0.0820272i	−0.107987	−	0.994152i	$-0.534441\pi$
$479$	−11.3348	−	1.79525i	−0.517899	−	0.0820272i	−0.409912	+	0.912125i	$0.634441\pi$
$480$	−5.76701	−	17.7490i	−0.263227	−	0.810129i
$481$	31.6023	−	16.4149i	1.44094	−	0.748456i
$482$	−12.7856	−	9.28925i	−0.582366	−	0.423114i
$483$	−0.645689	+	0.645689i	−0.0293799	+	0.0293799i
$484$	−14.8724	−	2.98727i	−0.676017	−	0.135785i
$485$		−	31.9828i		−	1.45227i
$486$	0.778309	−	0.123272i	0.0353048	−	0.00559174i
$487$	28.2078	−	14.3726i	1.27822	−	0.651284i	0.322779	−	0.946474i	$-0.395383\pi$
$487$	28.2078	−	14.3726i	1.27822	−	0.651284i	0.955439	+	0.295190i	$0.0953829\pi$
$488$	−16.0941	−	8.20034i	−0.728544	−	0.371212i
$489$	−3.15445	+	19.9164i	−0.142649	+	0.900651i
$490$	−9.82100	−	13.5175i	−0.443668	−	0.610656i
$491$	10.7255	+	33.0096i	0.484033	+	1.48970i	0.833377	+	0.552706i	$0.186405\pi$
$491$	10.7255	+	33.0096i	0.484033	+	1.48970i	−0.349344	+	0.936995i	$0.613595\pi$
$492$	−6.13194	+	3.12438i	−0.276449	+	0.140858i
$493$	10.6464	−	14.6535i	0.479491	−	0.659962i
$494$	−15.4362	+	0.120796i	−0.694509	+	0.00543485i
$495$	−5.34580	−	9.14043i	−0.240276	−	0.410832i
$496$	2.27827	+	2.27827i	0.102297	+	0.102297i
$497$	−0.0490980	+	0.0675775i	−0.00220234	+	0.00303127i
$498$	−5.07047	−	1.64750i	−0.227213	−	0.0738261i
$499$	−17.2801	+	33.9141i	−0.773562	+	1.51820i	0.0797576	+	0.996814i	$0.474585\pi$
$499$	−17.2801	+	33.9141i	−0.773562	+	1.51820i	−0.853320	+	0.521387i	$0.825415\pi$
$500$	−0.840092	−	0.133057i	−0.0375700	−	0.00595051i
$501$	−15.6002	−	2.47082i	−0.696964	−	0.110388i
$502$	3.04593	−	5.97798i	0.135947	−	0.266810i
$503$	2.43890	+	0.792446i	0.108745	+	0.0353334i	0.362884	−	0.931834i	$-0.381792\pi$
$503$	2.43890	+	0.792446i	0.108745	+	0.0353334i	−0.254139	+	0.967168i	$0.581792\pi$
$504$	0.937430	−	1.29026i	0.0417565	−	0.0574728i
$505$	−30.9158	−	30.9158i	−1.37573	−	1.37573i
$506$	−0.394261	+	3.96493i	−0.0175270	+	0.176263i
$507$	12.9984	−	0.203450i	0.577280	−	0.00903551i
$508$	−8.67002	+	11.9333i	−0.384670	+	0.529453i
$509$	3.57130	−	1.81967i	0.158295	−	0.0806553i	−0.373048	−	0.927812i	$-0.621687\pi$
$509$	3.57130	−	1.81967i	0.158295	−	0.0806553i	0.531343	+	0.847157i	$0.321687\pi$
$510$	3.54629	+	10.9144i	0.157032	+	0.483296i
$511$	4.92286	+	6.77573i	0.217774	+	0.299741i
$512$	−1.15305	+	7.28004i	−0.0509579	+	0.321735i
$513$	4.84096	+	2.46659i	0.213734	+	0.108903i
$514$	10.3563	−	5.27678i	0.456795	−	0.232749i
$515$	27.0599	−	4.28586i	1.19240	−	0.188858i
$516$			5.68501i			0.250269i
$517$	8.32952	+	38.1344i	0.366332	+	1.67715i
$518$	3.29630	−	3.29630i	0.144831	−	0.144831i
$519$	−4.85941	−	3.53057i	−0.213304	−	0.154975i
$520$	9.24344	−	29.2246i	0.405352	−	1.28158i
$521$	−8.95726	−	27.5676i	−0.392425	−	1.20776i	−0.930949	−	0.365149i	$-0.881018\pi$
$521$	−8.95726	−	27.5676i	−0.392425	−	1.20776i	0.538524	−	0.842610i	$-0.318982\pi$
$522$	−3.09053	−	0.489491i	−0.135269	−	0.0214244i
$523$	2.70685	+	3.72566i	0.118362	+	0.162912i	0.864087	−	0.503342i	$-0.167897\pi$
$523$	2.70685	+	3.72566i	0.118362	+	0.162912i	−0.745725	+	0.666254i	$0.767897\pi$
$524$	−0.918942	−	2.82821i	−0.0401442	−	0.123551i
$525$	−1.41213	−	2.77147i	−0.0616305	−	0.120957i
$526$	1.42590	+	9.00275i	0.0621720	+	0.392539i
$527$	−15.7500	−	15.7500i	−0.686080	−	0.686080i
$528$	0.126787	+	2.18472i	0.00551768	+	0.0950775i
$529$	20.6757			0.898945
$530$	20.5097	+	14.9011i	0.890883	+	0.647264i
$531$	−0.743164	−	1.45854i	−0.0322506	−	0.0632953i
$532$	4.26804	−	1.38677i	0.185043	−	0.0601241i
$533$	−17.7933	−	2.67563i	−0.770715	−	0.115894i
$534$	2.33163	+	3.20921i	0.100899	+	0.138876i
$535$	22.4672	+	11.4476i	0.971342	+	0.494923i
$536$	−15.1383	−	4.91873i	−0.653875	−	0.212457i
$537$	10.8123	−	14.8819i	0.466586	−	0.642200i
$538$	−1.52303	+	1.52303i	−0.0656626	+	0.0656626i
$539$	8.00881	+	20.5190i	0.344964	+	0.883814i
$540$	−3.11327	+	3.11327i	−0.133974	+	0.133974i
$541$	1.34711	+	8.50532i	0.0579168	+	0.365672i	0.999576	+	0.0291054i	$0.00926583\pi$
$541$	1.34711	+	8.50532i	0.0579168	+	0.365672i	−0.941660	+	0.336567i	$0.890734\pi$
$542$	−0.598023	+	1.84053i	−0.0256873	+	0.0790574i
$543$	−17.3510	+	5.63769i	−0.744604	+	0.241936i
$544$	4.17110	−	26.3353i	0.178834	−	1.12912i
$545$	−12.9302	+	9.39436i	−0.553870	+	0.402410i
$546$	1.61431	−	0.538522i	0.0690860	−	0.0230466i
$547$	−16.9573	−	5.50976i	−0.725041	−	0.235580i	−0.0768337	−	0.997044i	$-0.524481\pi$
$547$	−16.9573	−	5.50976i	−0.725041	−	0.235580i	−0.648208	+	0.761464i	$0.724481\pi$
$548$	4.25972	+	26.8948i	0.181966	+	1.14889i
$549$			6.78359i			0.289517i
$550$	−12.4299	−	5.45084i	−0.530014	−	0.232425i
$551$	−15.2551	−	15.2551i	−0.649890	−	0.649890i
$552$	4.00949	−	0.635041i	0.170655	−	0.0270291i
$553$	1.52154	+	2.98618i	0.0647023	+	0.126985i
$554$	10.0525	+	5.12201i	0.427091	+	0.217613i
$555$	−25.5110	+	18.5348i	−1.08288	+	0.786759i
$556$	2.51932	−	1.83039i	0.106843	−	0.0776259i
$557$	−17.9385	+	35.2063i	−0.760079	+	1.49174i	0.107374	+	0.994219i	$0.465756\pi$
$557$	−17.9385	+	35.2063i	−0.760079	+	1.49174i	−0.867453	+	0.497520i	$0.834244\pi$
$558$	−1.18906	+	3.65956i	−0.0503371	+	0.154922i
$559$	−8.64229	+	12.0930i	−0.365530	+	0.511478i
$560$			1.26176i			0.0533193i
$561$	−0.876495	−	15.1033i	−0.0370056	−	0.637660i
$562$	21.6853			0.914738
$563$	−20.2927	−	14.7435i	−0.855235	−	0.621364i	0.0713498	−	0.997451i	$-0.477269\pi$
$563$	−20.2927	−	14.7435i	−0.855235	−	0.621364i	−0.926584	+	0.376087i	$0.877269\pi$
$564$	14.4610	−	7.36824i	0.608918	−	0.310259i
$565$	−16.9068	+	33.1814i	−0.711273	+	1.39595i
$566$	−2.52780	+	15.9599i	−0.106251	+	0.670845i
$567$	−0.591582	−	0.0936973i	−0.0248441	−	0.00393492i
$568$	0.353168	−	0.114751i	0.0148186	−	0.00481486i
$569$	−3.70493	+	11.4026i	−0.155319	+	0.478022i	−0.998193	−	0.0600883i	$-0.980862\pi$
$569$	−3.70493	+	11.4026i	−0.155319	+	0.478022i	0.842874	+	0.538111i	$0.180862\pi$
$570$	13.5007	−	2.13831i	0.565484	−	0.0895639i
$571$	32.2741			1.35063			0.675314	−	0.737530i	$-0.264008\pi$
$571$	32.2741			1.35063			0.675314	+	0.737530i	$0.264008\pi$
$572$	−8.79499	+	13.9498i	−0.367737	+	0.583272i
$573$	13.0506			0.545195
$574$	−2.32642	+	0.368469i	−0.0971029	+	0.0153796i
$575$	2.44658	−	7.52981i	0.102030	−	0.314015i
$576$	−3.12572	+	1.01561i	−0.130239	+	0.0423171i
$577$	−17.9228	−	2.83869i	−0.746136	−	0.118176i	−0.228222	−	0.973609i	$-0.573291\pi$
$577$	−17.9228	−	2.83869i	−0.746136	−	0.118176i	−0.517914	+	0.855433i	$0.673291\pi$
$578$	−0.469296	+	2.96302i	−0.0195201	+	0.123245i
$579$	5.34199	−	10.4842i	0.222006	−	0.435711i
$580$	15.5773	−	7.93704i	0.646813	−	0.329567i
$581$	3.27840	+	2.38190i	0.136011	+	0.0988178i
$582$	−7.89395			−0.327215
$583$	−21.1774	−	25.8541i	−0.877078	−	1.07077i
$584$		−	37.2331i		−	1.54072i
$585$	−11.3552	+	1.88969i	−0.469480	+	0.0781290i
$586$	−6.25657	+	19.2557i	−0.258457	+	0.795448i
$587$	8.32942	−	16.3474i	0.343792	−	0.674729i	−0.652772	−	0.757554i	$-0.726394\pi$
$587$	8.32942	−	16.3474i	0.343792	−	0.674729i	0.996564	+	0.0828247i	$0.0263942\pi$
$588$	7.40942	−	5.38326i	0.305559	−	0.222002i
$589$	−21.4634	+	15.5941i	−0.884385	+	0.642543i
$590$	−3.66949	−	1.86970i	−0.151071	−	0.0769743i
$591$	6.98694	+	13.7126i	0.287404	+	0.564063i
$592$	6.43669	−	1.01947i	0.264547	−	0.0419001i
$593$	−16.0342	−	16.0342i	−0.658445	−	0.658445i	0.296567	−	0.955012i	$-0.404158\pi$
$593$	−16.0342	−	16.0342i	−0.658445	−	0.658445i	−0.955012	+	0.296567i	$0.904158\pi$
$594$	−2.25602	+	1.31944i	−0.0925658	+	0.0541374i
$595$		−	8.72277i		−	0.357599i
$596$	3.47177	+	21.9199i	0.142209	+	0.897873i
$597$	−13.8410	−	4.49722i	−0.566475	−	0.184059i
$598$	3.87475	+	1.93624i	0.158450	+	0.0791788i
$599$	11.8487	−	8.60858i	0.484124	−	0.351737i	−0.318796	−	0.947823i	$-0.603278\pi$
$599$	11.8487	−	8.60858i	0.484124	−	0.351737i	0.802920	+	0.596087i	$0.203278\pi$
$600$	−2.16318	+	13.6578i	−0.0883113	+	0.557575i
$601$	42.0567	−	13.6651i	1.71553	−	0.557409i	0.724291	−	0.689494i	$-0.242167\pi$
$601$	42.0567	−	13.6651i	1.71553	−	0.557409i	0.991238	+	0.132084i	$0.0421670\pi$
$602$	−0.601263	+	1.85050i	−0.0245056	+	0.0754206i
$603$	0.935142	+	5.90425i	0.0380819	+	0.240440i
$604$	8.12969	−	8.12969i	0.330793	−	0.330793i
$605$	27.5391	+	21.7939i	1.11962	+	0.886046i
$606$	−7.63058	+	7.63058i	−0.309971	+	0.309971i
$607$	−21.9140	+	30.1620i	−0.889462	+	1.22424i	0.0842475	+	0.996445i	$0.473151\pi$
$607$	−21.9140	+	30.1620i	−0.889462	+	1.22424i	−0.973709	+	0.227794i	$0.926849\pi$
$608$	−30.2044	−	9.81401i	−1.22495	−	0.398011i
$609$	2.11912	+	1.07975i	0.0858711	+	0.0437535i
$610$	10.0315	+	13.8072i	0.406163	+	0.559036i
$611$	41.9621	+	6.30995i	1.69760	+	0.255273i
$612$	−5.98256	+	1.94385i	−0.241831	+	0.0785756i
$613$	2.74441	+	5.38622i	0.110846	+	0.217547i	0.939765	−	0.341821i	$-0.111044\pi$
$613$	2.74441	+	5.38622i	0.110846	+	0.217547i	−0.828919	+	0.559368i	$0.811044\pi$
$614$	6.61913	+	4.80908i	0.267127	+	0.194079i
$615$	15.9329			0.642478
$616$	−1.34035	+	5.11689i	−0.0540043	+	0.206165i
$617$	31.0239	+	31.0239i	1.24898	+	1.24898i	0.956173	+	0.292803i	$0.0945881\pi$
$617$	31.0239	+	31.0239i	1.24898	+	1.24898i	0.292803	+	0.956173i	$0.405412\pi$
$618$	−1.05783	−	6.67887i	−0.0425522	−	0.268664i
$619$	12.9978	+	25.5095i	0.522424	+	1.02531i	0.989961	+	0.141341i	$0.0451414\pi$
$619$	12.9978	+	25.5095i	0.522424	+	1.02531i	−0.467537	+	0.883973i	$0.654859\pi$
$620$	−6.64361	−	20.4469i	−0.266814	−	0.821169i
$621$	−0.896113	−	1.23339i	−0.0359598	−	0.0494944i
$622$	9.61831	+	1.52339i	0.385659	+	0.0610824i
$623$	−0.931719	−	2.86754i	−0.0373285	−	0.114885i
$624$	2.26828	+	0.717434i	0.0908038	+	0.0287203i
$625$	−19.4138	−	14.1049i	−0.776551	−	0.564197i
$626$	−13.5270	+	13.5270i	−0.540649	+	0.540649i
$627$	−17.9312	−	1.78303i	−0.716105	−	0.0712073i
$628$		−	3.06408i		−	0.122270i
$629$	−44.4978	+	7.04776i	−1.77424	+	0.281013i
$630$	−1.34265	+	0.684115i	−0.0534925	+	0.0272558i
$631$	−29.6091	−	15.0866i	−1.17872	−	0.600587i	−0.248872	−	0.968536i	$-0.580060\pi$
$631$	−29.6091	−	15.0866i	−1.17872	−	0.600587i	−0.929846	+	0.367950i	$0.880060\pi$
$632$	2.33077	−	14.7159i	0.0927129	−	0.585366i
$633$	3.91537	+	5.38904i	0.155622	+	0.214195i
$634$	5.37718	+	16.5493i	0.213555	+	0.657255i
$635$	30.4271	−	15.5034i	1.20746	−	0.615234i
$636$	−8.16787	+	11.2421i	−0.323877	+	0.445778i
$637$	23.9446	−	0.187378i	0.948721	−	0.00742418i
$638$	10.1388	−	2.21458i	0.401401	−	0.0876761i
$639$	−0.0986132	−	0.0986132i	−0.00390108	−	0.00390108i
$640$	17.0789	−	23.5070i	0.675101	−	0.929197i
$641$	9.11111	+	2.96038i	0.359867	+	0.116928i	0.483370	−	0.875416i	$-0.339413\pi$
$641$	9.11111	+	2.96038i	0.359867	+	0.116928i	−0.123502	+	0.992344i	$0.539413\pi$
$642$	2.82548	−	5.54532i	0.111513	−	0.218856i
$643$	35.5158	+	5.62516i	1.40061	+	0.221835i	0.810618	−	0.585576i	$-0.199132\pi$
$643$	35.5158	+	5.62516i	1.40061	+	0.221835i	0.589990	+	0.807410i	$0.299132\pi$
$644$	−1.24376	−	0.196992i	−0.0490108	−	0.00776255i
$645$	5.97525	−	11.7271i	0.235275	−	0.461754i
$646$	18.5735	+	6.03490i	0.730765	+	0.237440i
$647$	−4.58745	+	6.31408i	−0.180351	+	0.248232i	−0.889615	−	0.456711i	$-0.849027\pi$
$647$	−4.58745	+	6.31408i	−0.180351	+	0.248232i	0.709264	+	0.704943i	$0.249027\pi$
$648$	1.88283	+	1.88283i	0.0739644	+	0.0739644i
$649$	4.05498	+	3.61014i	0.159172	+	0.141711i
$650$	−10.3514	+	10.5147i	−0.406014	+	0.412419i
$651$	1.71911	−	2.36615i	0.0673773	−	0.0927369i
$652$	−24.7770	+	12.6245i	−0.970342	+	0.494414i
$653$	5.26552	+	16.2056i	0.206056	+	0.634175i	0.999668	+	0.0257512i	$0.00819777\pi$
$653$	5.26552	+	16.2056i	0.206056	+	0.634175i	−0.793613	+	0.608423i	$0.791802\pi$
$654$	2.31870	+	3.19142i	0.0906684	+	0.124794i
$655$	−1.07700	+	6.79992i	−0.0420820	+	0.265695i
$656$	−2.93393	−	1.49491i	−0.114551	−	0.0583666i
$657$	−12.4590	+	6.34820i	−0.486074	+	0.247667i
$658$	5.48640	−	0.868961i	0.213882	−	0.0338756i
$659$			19.8651i			0.773833i	0.922115	+	0.386916i	$0.126460\pi$
$659$			19.8651i			0.773833i	−0.922115	+	0.386916i	$0.873540\pi$
$660$	5.86447	−	13.3732i	0.228274	−	0.520550i
$661$	−13.4319	+	13.4319i	−0.522439	+	0.522439i	−0.918307	−	0.395868i	$-0.870444\pi$
$661$	−13.4319	+	13.4319i	−0.522439	+	0.522439i	0.395868	+	0.918307i	$0.370444\pi$
$662$	14.7141	+	10.6905i	0.571882	+	0.415496i
$663$	−15.6809	−	4.95973i	−0.608997	−	0.192620i
$664$	−5.56695	−	17.1333i	−0.216040	−	0.664902i
$665$	−10.2617	−	1.62530i	−0.397933	−	0.0630263i
$666$	4.57473	+	6.29657i	0.177267	+	0.243987i
$667$	1.87071	+	5.75745i	0.0724342	+	0.222929i
$668$	−9.88854	−	19.4074i	−0.382599	−	0.750893i
$669$	−2.71705	−	17.1548i	−0.105047	−	0.663243i
$670$	10.6345	+	10.6345i	0.410847	+	0.410847i
$671$	−8.18046	−	20.9587i	−0.315803	−	0.809102i
$672$	3.50113			0.135059
$673$	22.4345	+	16.2996i	0.864786	+	0.628304i	0.929183	−	0.369620i	$-0.120512\pi$
$673$	22.4345	+	16.2996i	0.864786	+	0.628304i	−0.0643966	+	0.997924i	$0.520512\pi$
$674$	10.1784	+	19.9761i	0.392056	+	0.769452i
$675$	4.93901	−	1.60478i	0.190103	−	0.0617681i
$676$	10.7632	+	14.3370i	0.413970	+	0.551422i
$677$	−3.14320	−	4.32625i	−0.120803	−	0.166271i	0.744333	−	0.667809i	$-0.232768\pi$
$677$	−3.14320	−	4.32625i	−0.120803	−	0.166271i	−0.865136	+	0.501538i	$0.832768\pi$
$678$	8.18977	+	4.17290i	0.314526	+	0.160259i
$679$	5.70641	+	1.85413i	0.218992	+	0.0711548i
$680$	−22.7931	+	31.3720i	−0.874076	+	1.20306i
$681$	14.3306	−	14.3306i	0.549151	−	0.549151i
$682$	−0.739380	−	12.7406i	−0.0283123	−	0.487862i
$683$	19.3535	−	19.3535i	0.740542	−	0.740542i	−0.232141	−	0.972682i	$-0.574573\pi$
$683$	19.3535	−	19.3535i	0.740542	−	0.740542i	0.972682	+	0.232141i	$0.0745729\pi$
$684$	1.17209	+	7.40026i	0.0448158	+	0.282956i
$685$	19.4809	−	59.9561i	0.744328	−	2.29081i
$686$	6.12333	−	1.98959i	0.233790	−	0.0759629i
$687$	−3.97495	+	25.0969i	−0.151654	+	0.957505i
$688$	−2.20060	+	1.59883i	−0.0838971	+	0.0609548i
$689$	−34.4646	+	11.4971i	−1.31299	+	0.438006i
$690$	−3.64785	−	1.18526i	−0.138871	−	0.0451221i
$691$	3.26466	+	20.6123i	0.124194	+	0.784127i	0.968637	+	0.248482i	$0.0799316\pi$
$691$	3.26466	+	20.6123i	0.124194	+	0.784127i	−0.844443	+	0.535645i	$0.820068\pi$
$692$		−	8.28328i		−	0.314883i
$693$	1.94075	−	0.423910i	0.0737232	−	0.0161030i
$694$	4.17419	+	4.17419i	0.158450	+	0.158450i
$695$	−7.12072	+	1.12781i	−0.270104	+	0.0427803i
$696$	−4.80012	−	9.42077i	−0.181948	−	0.357093i
$697$	20.2827	+	10.3346i	0.768263	+	0.391450i
$698$	11.2095	−	8.14415i	0.424284	−	0.308261i
$699$	9.87500	−	7.17461i	0.373507	−	0.271369i
$700$	1.94739	−	3.82196i	0.0736042	−	0.144456i
$701$	−4.66040	+	14.3432i	−0.176021	+	0.541737i	−0.999679	−	0.0253505i	$-0.991930\pi$
$701$	−4.66040	+	14.3432i	−0.176021	+	0.541737i	0.823658	+	0.567087i	$0.191930\pi$
$702$	0.466410	+	2.80267i	0.0176035	+	0.105780i
$703$			53.6618i			2.02389i
$704$	8.43256	−	6.90722i	0.317814	−	0.260326i
$705$	−37.5747			−1.41515
$706$	0.650474	+	0.472597i	0.0244809	+	0.0177864i
$707$	7.30829	−	3.72376i	0.274857	−	0.140046i
$708$	1.02485	−	2.01138i	0.0385163	−	0.0755924i
$709$	3.75562	−	23.7120i	0.141045	−	0.890524i	−0.811107	−	0.584898i	$-0.801134\pi$
$709$	3.75562	−	23.7120i	0.141045	−	0.890524i	0.952152	−	0.305626i	$-0.0988656\pi$
$710$	−0.346543	−	0.0548870i	−0.0130055	−	0.00205987i
$711$	−5.32166	+	1.72911i	−0.199578	+	0.0648468i
$712$	−4.14205	+	12.7479i	−0.155230	+	0.477749i
$713$	7.35283	−	1.16457i	0.275366	−	0.0436136i
$714$	−2.15294			−0.0805717
$715$	32.8044	−	19.5319i	1.22682	−	0.730451i
$716$	25.3674			0.948025
$717$	−26.0353	+	4.12359i	−0.972306	+	0.153998i
$718$	0.338970	−	1.04324i	0.0126502	−	0.0389334i
$719$	1.18630	−	0.385451i	0.0442414	−	0.0143749i	−0.286813	−	0.957987i	$-0.592596\pi$
$719$	1.18630	−	0.385451i	0.0442414	−	0.0143749i	0.331054	+	0.943612i	$0.392596\pi$
$720$	−2.08067	−	0.329546i	−0.0775421	−	0.0122815i
$721$	−0.804041	+	5.07652i	−0.0299441	+	0.189059i
$722$	3.76316	−	7.38562i	0.140050	−	0.274864i
$723$	−17.8694	+	9.10493i	−0.664571	+	0.338616i
$724$	−20.3541	−	14.7882i	−0.756456	−	0.549597i
$725$	−20.6212			−0.765852
$726$	5.37912	−	6.79716i	0.199638	−	0.252266i
$727$			0.642409i			0.0238256i	0.999929	+	0.0119128i	$0.00379206\pi$
$727$			0.642409i			0.0238256i	−0.999929	+	0.0119128i	$0.996208\pi$
$728$	4.67841	+	3.34345i	0.173393	+	0.123916i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	−15.9712	+	31.3453i	−0.591121	+	1.16014i
$731$	15.2131	−	11.0529i	0.562676	−	0.408808i
$732$	−7.56822	+	5.49863i	−0.279729	+	0.203235i
$733$	43.8260	+	22.3305i	1.61875	+	0.824795i	0.999206	+	0.0398339i	$0.0126829\pi$
$733$	43.8260	+	22.3305i	1.61875	+	0.824795i	0.619545	+	0.784961i	$0.287317\pi$
$734$	9.50637	+	18.6573i	0.350886	+	0.688653i
$735$	−20.9423	+	3.31694i	−0.772469	+	0.122347i
$736$	6.30148	+	6.30148i	0.232275	+	0.232275i
$737$	−10.0093	−	17.1142i	−0.368697	−	0.630410i
$738$		−	3.93254i		−	0.144759i
$739$	0.145915	+	0.921271i	0.00536757	+	0.0338895i	0.990227	−	0.139467i	$-0.0445388\pi$
$739$	0.145915	+	0.921271i	0.00536757	+	0.0338895i	−0.984859	+	0.173356i	$0.944539\pi$
$740$	−41.3573	−	13.4378i	−1.52032	−	0.493983i
$741$	−8.75657	+	17.5234i	−0.321681	+	0.643738i
$742$	−3.84767	+	2.79550i	−0.141253	+	0.102626i
$743$	−6.84061	+	43.1899i	−0.250958	+	1.58449i	0.464335	+	0.885660i	$0.346293\pi$
$743$	−6.84061	+	43.1899i	−0.250958	+	1.58449i	−0.715292	+	0.698825i	$0.753707\pi$
$744$	−12.3658	+	4.01789i	−0.453352	+	0.147303i
$745$	15.8774	−	48.8656i	0.581702	−	1.79030i
$746$	−0.715614	−	4.51821i	−0.0262005	−	0.165423i
$747$	−4.78404	+	4.78404i	−0.175039	+	0.175039i
$748$	16.1397	−	13.2203i	0.590127	−	0.483381i
$749$	−3.34498	+	3.34498i	−0.122223	+	0.122223i
$750$	0.285681	−	0.393206i	0.0104316	−	0.0143579i
$751$	−25.8942	−	8.41352i	−0.944891	−	0.307014i	−0.204253	−	0.978918i	$-0.565477\pi$
$751$	−25.8942	−	8.41352i	−0.944891	−	0.307014i	−0.740638	+	0.671904i	$0.765477\pi$
$752$	6.91911	+	3.52546i	0.252314	+	0.128560i
$753$	−5.00449	−	6.88809i	−0.182374	−	0.251016i
$754$	1.67763	−	11.1565i	0.0610959	−	0.406296i
$755$	−25.3148	+	8.22527i	−0.921299	+	0.299348i
$756$	−0.374989	−	0.735956i	−0.0136382	−	0.0267665i
$757$	−43.3770	−	31.5152i	−1.57656	−	1.14544i	−0.920506	−	0.390728i	$-0.872223\pi$
$757$	−43.3770	−	31.5152i	−1.57656	−	1.14544i	−0.656057	−	0.754712i	$-0.727777\pi$
$758$	7.11925			0.258583
$759$	4.25602	+	2.73008i	0.154484	+	0.0990955i
$760$	32.6600	+	32.6600i	1.18470	+	1.18470i
$761$	−2.55698	−	16.1441i	−0.0926903	−	0.585224i	−0.989694	−	0.143200i	$-0.954261\pi$
$761$	−2.55698	−	16.1441i	−0.0926903	−	0.585224i	0.897003	−	0.442024i	$-0.145739\pi$
$762$	−3.82652	−	7.50997i	−0.138620	−	0.272058i
$763$	−0.926554	−	2.85164i	−0.0335435	−	0.103236i
$764$	10.5785	+	14.5601i	0.382717	+	0.526765i
$765$	14.3840	+	2.27820i	0.520054	+	0.0823685i
$766$	2.07151	+	6.37545i	0.0748467	+	0.230355i
$767$	5.23771	−	2.72058i	0.189123	−	0.0982346i
$768$	−11.1198	−	8.07898i	−0.401250	−	0.291525i
$769$	11.6517	−	11.6517i	0.420171	−	0.420171i	−0.465091	−	0.885263i	$-0.653979\pi$
$769$	11.6517	−	11.6517i	0.420171	−	0.420171i	0.885263	+	0.465091i	$0.153979\pi$
$770$	3.32329	−	3.73278i	0.119763	−	0.134520i
$771$		−	14.7499i		−	0.531206i
$772$	16.0270	−	2.53843i	0.576825	−	0.0913601i
$773$	28.4027	−	14.4719i	1.02158	−	0.520519i	0.138803	−	0.990320i	$-0.455674\pi$
$773$	28.4027	−	14.4719i	1.02158	−	0.520519i	0.882772	+	0.469801i	$0.155674\pi$
$774$	−2.89446	−	1.47480i	−0.104039	−	0.0530107i
$775$	−3.96695	+	25.0464i	−0.142497	+	0.899691i
$776$	−15.6786	−	21.5797i	−0.562827	−	0.774666i
$777$	−1.82806	−	5.62620i	−0.0655814	−	0.201839i
$778$	−6.67863	+	3.40293i	−0.239440	+	0.122001i
$779$	15.9371	−	21.9356i	0.571007	−	0.785924i
$780$	−11.3125	−	11.1369i	−0.405054	−	0.398764i
$781$	0.423597	+	0.185758i	0.0151575	+	0.00664694i
$782$	−3.87495	−	3.87495i	−0.138568	−	0.138568i
$783$	−2.33399	+	3.21246i	−0.0834100	+	0.114804i
$784$	4.16759	+	1.35413i	0.148842	+	0.0483619i
$785$	−3.22052	+	6.32063i	−0.114945	+	0.225593i
$786$	1.67835	+	0.265824i	0.0598646	+	0.00948162i
$787$	30.8724	+	4.88970i	1.10048	+	0.174299i	0.680151	−	0.733072i	$-0.261914\pi$
$787$	30.8724	+	4.88970i	1.10048	+	0.174299i	0.420330	+	0.907371i	$0.361914\pi$
$788$	−9.63526	+	18.9103i	−0.343242	+	0.673651i
$789$	11.0009	+	3.57442i	0.391643	+	0.127253i
$790$	−8.27460	+	11.3890i	−0.294397	+	0.405203i
$791$	−4.94013	−	4.94013i	−0.175651	−	0.175651i
$792$	−8.08776	−	3.54669i	−0.287386	−	0.126026i
$793$	−24.4578	+	0.191394i	−0.868523	+	0.00679659i
$794$	13.3679	−	18.3993i	0.474408	−	0.652966i
$795$	28.6648	−	14.6055i	1.01664	−	0.518002i
$796$	−6.20184	−	19.0873i	−0.219818	−	0.676531i
$797$	−21.9083	−	30.1542i	−0.776033	−	1.06812i	−0.995709	−	0.0925447i	$-0.970500\pi$
$797$	−21.9083	−	30.1542i	−0.776033	−	1.06812i	0.219676	−	0.975573i	$-0.429500\pi$
$798$	−0.401153	+	2.53278i	−0.0142007	+	0.0896595i
$799$	−47.8329	−	24.3721i	−1.69221	−	0.862222i
$800$	−27.0476	+	13.7814i	−0.956276	+	0.487247i
$801$	4.97196	−	0.787481i	0.175676	−	0.0278243i
$802$		−	14.1295i		−	0.498930i
$803$	30.8383	−	34.6381i	1.08826	−	1.22235i
$804$	−5.82917	+	5.82917i	−0.205579	+	0.205579i
$805$	2.35858	+	1.71361i	0.0831291	+	0.0603969i
$806$	−13.2279	−	4.18385i	−0.465932	−	0.147370i
$807$	0.844646	+	2.59955i	0.0297329	+	0.0915086i
$808$	−36.0152	−	5.70425i	−1.26701	−	0.200675i
$809$	19.3335	+	26.6103i	0.679729	+	0.935567i	0.999931	−	0.0117825i	$-0.00375056\pi$
$809$	19.3335	+	26.6103i	0.679729	+	0.935567i	−0.320201	+	0.947350i	$0.603751\pi$
$810$	−0.777445	−	2.39273i	−0.0273166	−	0.0840719i
$811$	5.07666	+	9.96351i	0.178266	+	0.349866i	0.962798	−	0.270222i	$-0.0870970\pi$
$811$	5.07666	+	9.96351i	0.178266	+	0.349866i	−0.784532	+	0.620088i	$0.787097\pi$
$812$	0.513079	+	3.23945i	0.0180055	+	0.113682i
$813$	1.73655	+	1.73655i	0.0609036	+	0.0609036i
$814$	−21.7273	−	13.9373i	−0.761543	−	0.488501i
$815$	64.3793			2.25511
$816$	−2.43496	−	1.76910i	−0.0852405	−	0.0619308i
$817$	−10.1684	−	19.9566i	−0.355747	−	0.698193i
$818$	−7.97273	+	2.59050i	−0.278760	+	0.0905745i
$819$	0.321129	−	2.13556i	0.0112212	−	0.0746224i
$820$	12.9149	+	17.7758i	0.451008	+	0.620759i
$821$	−7.89232	−	4.02134i	−0.275444	−	0.140346i	0.310813	−	0.950471i	$-0.399399\pi$
$821$	−7.89232	−	4.02134i	−0.275444	−	0.140346i	−0.586256	+	0.810126i	$0.699399\pi$
$822$	−14.7983	−	4.80825i	−0.516149	−	0.167707i
$823$	21.2928	−	29.3071i	0.742222	−	1.02158i	−0.256266	−	0.966606i	$-0.582492\pi$
$823$	21.2928	−	29.3071i	0.742222	−	1.02158i	0.998488	−	0.0549744i	$-0.0175077\pi$
$824$	16.1570	−	16.1570i	0.562857	−	0.562857i
$825$	−13.3244	+	10.9142i	−0.463898	+	0.379984i
$826$	0.546323	−	0.546323i	0.0190090	−	0.0190090i
$827$	3.56328	+	22.4977i	0.123907	+	0.782321i	0.968884	+	0.247517i	$0.0796145\pi$
$827$	3.56328	+	22.4977i	0.123907	+	0.782321i	−0.844976	+	0.534804i	$0.820385\pi$
$828$	0.649685	−	1.99952i	0.0225781	−	0.0694883i
$829$	4.30982	−	1.40035i	0.149686	−	0.0486360i	−0.233216	−	0.972425i	$-0.574925\pi$
$829$	4.30982	−	1.40035i	0.149686	−	0.0486360i	0.382902	+	0.923789i	$0.374925\pi$
$830$	−2.66274	+	16.8119i	−0.0924252	+	0.583550i
$831$	11.5830	−	8.41551i	0.401808	−	0.291931i
$832$	−3.74991	−	11.2410i	−0.130005	−	0.389710i
$833$	−28.8112	−	9.36132i	−0.998248	−	0.324350i
$834$	0.278364	+	1.75752i	0.00963897	+	0.0608581i
$835$			50.4271i			1.74510i
$836$	−12.5454	−	21.4506i	−0.433892	−	0.741883i
$837$	3.45283	+	3.45283i	0.119347	+	0.119347i
$838$	−5.56166	+	0.880880i	−0.192124	+	0.0304295i
$839$	13.1820	+	25.8712i	0.455094	+	0.893172i	0.998555	+	0.0537378i	$0.0171135\pi$
$839$	13.1820	+	25.8712i	0.455094	+	0.893172i	−0.543461	+	0.839434i	$0.682886\pi$
$840$	−4.53687	−	2.31165i	−0.156537	−	0.0797595i
$841$	−10.7054	+	7.77792i	−0.369151	+	0.268204i
$842$	−1.58478	+	1.15141i	−0.0546152	+	0.0396803i
$843$	12.4934	−	24.5196i	0.430294	−	0.844500i
$844$	−2.83866	+	8.73649i	−0.0977106	+	0.300722i
$845$	−7.13354	−	40.8872i	−0.245401	−	1.40656i
$846$			9.27413i			0.318851i
$847$	−5.48499	+	3.65012i	−0.188467	+	0.125419i
$848$	−6.64878			−0.228320
$849$	16.5896	+	12.0530i	0.569353	+	0.413660i
$850$	16.6323	−	8.47457i	0.570482	−	0.290675i
$851$	6.83605	−	13.4165i	0.234337	−	0.459912i
$852$	0.0300856	−	0.189953i	0.00103072	−	0.00650768i
$853$	2.03038	+	0.321581i	0.0695190	+	0.0110107i	0.191097	−	0.981571i	$-0.438795\pi$
$853$	2.03038	+	0.321581i	0.0695190	+	0.0110107i	−0.121578	+	0.992582i	$0.538795\pi$
$854$	−3.04504	+	0.989393i	−0.104199	+	0.0338563i
$855$	5.36029	−	16.4973i	0.183318	−	0.564195i
$856$	20.7711	−	3.28981i	0.709940	−	0.112443i
$857$	−9.67385			−0.330452			−0.165226	−	0.986256i	$-0.552835\pi$
$857$	−9.67385			−0.330452			−0.165226	+	0.986256i	$0.552835\pi$
$858$	−4.82082	−	8.09674i	−0.164580	−	0.276418i
$859$	−44.2139			−1.50856			−0.754279	−	0.656554i	$-0.772013\pi$
$859$	−44.2139			−1.50856			−0.754279	+	0.656554i	$0.772013\pi$
$860$	17.9269	−	2.83935i	0.611303	−	0.0968209i
$861$	−0.923673	+	2.84277i	−0.0314787	+	0.0968814i
$862$	14.1556	−	4.59942i	0.482141	−	0.156657i
$863$	24.5902	+	3.89470i	0.837059	+	0.132577i	0.560225	−	0.828340i	$-0.310715\pi$
$863$	24.5902	+	3.89470i	0.837059	+	0.132577i	0.276834	+	0.960918i	$0.410715\pi$
$864$	−0.914420	+	5.77342i	−0.0311092	+	0.196416i
$865$	−8.70618	+	17.0868i	−0.296019	+	0.580970i
$866$	−6.54770	+	3.33622i	−0.222500	+	0.113369i
$867$	3.07992	+	2.23769i	0.104600	+	0.0759960i
$868$	4.03331			0.136900
$869$	14.3567	−	11.7598i	0.487019	−	0.398924i
$870$			9.99004i			0.338694i
$871$	−21.2611	+	3.53818i	−0.720403	+	0.119887i
$872$	−4.11909	+	12.6773i	−0.139490	+	0.429306i
$873$	−4.54788	+	8.92571i	−0.153922	+	0.302090i
$874$	−5.28061	+	3.83659i	−0.178619	+	0.129775i
$875$	−0.298870	+	0.217142i	−0.0101037	+	0.00734074i
$876$	−17.1815	−	8.75441i	−0.580509	−	0.295784i
$877$	11.2927	+	22.1631i	0.381326	+	0.748395i	0.999285	−	0.0378159i	$-0.0120400\pi$
$877$	11.2927	+	22.1631i	0.381326	+	0.748395i	−0.617959	+	0.786211i	$0.712040\pi$
$878$	23.8551	−	3.77828i	0.805072	−	0.127511i
$879$	18.1680	+	18.1680i	0.612791	+	0.612791i
$880$	6.82589	−	1.49095i	0.230101	−	0.0502599i
$881$			38.3015i			1.29041i	0.764009	+	0.645206i	$0.223228\pi$
$881$			38.3015i			1.29041i	−0.764009	+	0.645206i	$0.776772\pi$
$882$	0.818681	+	5.16895i	0.0275664	+	0.174048i
$883$	22.6749	+	7.36751i	0.763070	+	0.247937i	0.664596	−	0.747203i	$-0.268604\pi$
$883$	22.6749	+	7.36751i	0.763070	+	0.247937i	0.0984743	+	0.995140i	$0.468604\pi$
$884$	−7.17724	−	21.5149i	−0.241397	−	0.723626i
$885$	−4.22815	+	3.07193i	−0.142128	+	0.103262i
$886$	−0.573435	+	3.62053i	−0.0192649	+	0.121634i
$887$	−19.3662	+	6.29246i	−0.650253	+	0.211280i	−0.615526	−	0.788117i	$-0.711056\pi$
$887$	−19.3662	+	6.29246i	−0.650253	+	0.211280i	−0.0347275	+	0.999397i	$0.511056\pi$
$888$	−8.12685	+	25.0119i	−0.272719	+	0.839343i
$889$	1.00220	+	6.32761i	0.0336126	+	0.212221i
$890$	8.95530	−	8.95530i	0.300182	−	0.300182i
$891$	0.192152	+	3.31105i	0.00643733	+	0.110924i
$892$	16.9366	−	16.9366i	0.567081	−	0.567081i
$893$	−37.5846	+	51.7308i	−1.25772	+	1.73111i
$894$	−12.0609	−	3.91883i	−0.403377	−	0.131065i
$895$	−52.3282	−	26.6625i	−1.74914	−	0.891231i
$896$	3.20404	+	4.40999i	0.107040	+	0.147327i
$897$	4.42164	−	3.26568i	0.147634	−	0.109038i
$898$	−4.59771	+	1.49389i	−0.153428	+	0.0498516i
$899$	−8.80273	−	17.2763i	−0.293588	−	0.576198i
$900$	5.79386	+	4.20949i	0.193129	+	0.140316i
$901$	45.9640			1.53128
$902$	4.74233	+	12.1501i	0.157902	+	0.404553i
$903$	1.74596	+	1.74596i	0.0581019	+	0.0581019i
$904$	4.85866	+	30.6764i	0.161597	+	1.02028i
$905$	26.4436	+	51.8985i	0.879015	+	1.72516i
$906$	2.03015	+	6.24815i	0.0674471	+	0.207581i
$907$	−18.9139	−	26.0327i	−0.628026	−	0.864403i	0.369881	−	0.929079i	$-0.379399\pi$
$907$	−18.9139	−	26.0327i	−0.628026	−	0.864403i	−0.997906	+	0.0646761i	$0.979399\pi$
$908$	27.6043	+	4.37209i	0.916080	+	0.145093i
$909$	4.23178	+	13.0241i	0.140359	+	0.431981i
$910$	−2.50442	−	4.82154i	−0.0830206	−	0.159833i
$911$	−31.5939	−	22.9543i	−1.04675	−	0.760511i	−0.0751612	−	0.997171i	$-0.523947\pi$
$911$	−31.5939	−	22.9543i	−1.04675	−	0.760511i	−0.971592	+	0.236660i	$0.923947\pi$
$912$	−2.53492	+	2.53492i	−0.0839396	+	0.0839396i
$913$	9.01170	−	20.5500i	0.298244	−	0.680107i
$914$		−	5.25009i		−	0.173657i
$915$	21.3912	−	3.38803i	0.707170	−	0.112005i
$916$	−31.2217	+	15.9083i	−1.03159	+	0.525624i
$917$	−1.15081	−	0.586369i	−0.0380032	−	0.0193636i
$918$	0.562302	−	3.55023i	0.0185587	−	0.117175i
$919$	15.4081	+	21.2074i	0.508266	+	0.699568i	0.983626	−	0.180224i	$-0.0576822\pi$
$919$	15.4081	+	21.2074i	0.508266	+	0.699568i	−0.475360	+	0.879791i	$0.657682\pi$
$920$	−4.00504	−	12.3262i	−0.132042	−	0.406384i
$921$	9.25107	−	4.71366i	0.304833	−	0.155320i
$922$	6.60207	−	9.08697i	0.217428	−	0.299264i
$923$	0.352762	−	0.358326i	0.0116113	−	0.0117945i
$924$	2.04608	+	1.82162i	0.0673110	+	0.0599269i
$925$	36.2688	+	36.2688i	1.19251	+	1.19251i
$926$	−8.14475	+	11.2103i	−0.267653	+	0.368393i
$927$	−8.16126	−	2.65176i	−0.268051	−	0.0870951i
$928$	10.5376	−	20.6811i	0.345913	−	0.678892i
$929$	−19.8383	−	3.14208i	−0.650874	−	0.103088i	−0.177738	−	0.984078i	$-0.556878\pi$
$929$	−19.8383	−	3.14208i	−0.650874	−	0.103088i	−0.473136	+	0.880990i	$0.656878\pi$
$930$	12.1338	+	1.92181i	0.397884	+	0.0630186i
$931$	−16.3813	+	32.1500i	−0.536874	+	1.05367i
$932$	16.0089	+	5.20161i	0.524390	+	0.170385i
$933$	7.26382	−	9.99779i	0.237807	−	0.327313i
$934$	−21.3376	−	21.3376i	−0.698186	−	0.698186i
$935$	−47.1884	+	10.3072i	−1.54323	+	0.337080i
$936$	−6.73530	+	6.84154i	−0.220150	+	0.223623i
$937$	29.3151	−	40.3488i	0.957682	−	1.31814i	0.00965263	−	0.999953i	$-0.496927\pi$
$937$	29.3151	−	40.3488i	0.957682	−	1.31814i	0.948029	−	0.318183i	$-0.103073\pi$
$938$	−2.51393	+	1.28091i	−0.0820827	+	0.0418232i
$939$	7.50184	+	23.0883i	0.244813	+	0.753458i
$940$	−30.4573	−	41.9208i	−0.993407	−	1.36731i
$941$	2.53018	−	15.9749i	0.0824814	−	0.520767i	−0.911507	−	0.411284i	$-0.865080\pi$
$941$	2.53018	−	15.9749i	0.0824814	−	0.520767i	0.993989	−	0.109483i	$-0.0349195\pi$
$942$	1.56005	+	0.794883i	0.0508291	+	0.0258987i
$943$	−6.77900	+	3.45407i	−0.220755	+	0.112480i
$944$	1.06681	−	0.168966i	0.0347216	−	0.00549937i
$945$			1.91227i			0.0622062i
$946$	10.7213	+	1.06609i	0.348579	+	0.0346616i
$947$	−18.2738	+	18.2738i	−0.593819	+	0.593819i	−0.938661	−	0.344842i	$-0.887933\pi$
$947$	−18.2738	+	18.2738i	−0.593819	+	0.593819i	0.344842	+	0.938661i	$0.387933\pi$
$948$	−6.24274	−	4.53561i	−0.202755	−	0.147310i
$949$	−23.2396	−	44.7412i	−0.754389	−	1.45236i
$950$	−6.87067	−	21.1458i	−0.222914	−	0.686059i
$951$	21.8102	+	3.45440i	0.707245	+	0.112017i
$952$	−4.27606	−	5.88549i	−0.138588	−	0.190750i
$953$	4.41763	+	13.5961i	0.143101	+	0.440420i	0.996762	−	0.0804095i	$-0.0256228\pi$
$953$	4.41763	+	13.5961i	0.143101	+	0.440420i	−0.853661	+	0.520829i	$0.825623\pi$
$954$	−3.60490	−	7.07501i	−0.116713	−	0.229062i
$955$	−6.51803	−	41.1532i	−0.210919	−	1.33169i
$956$	−25.7042	−	25.7042i	−0.831333	−	0.831333i
$957$	3.33717	−	12.7399i	0.107876	−	0.411822i
$958$	9.04327			0.292175
$959$	9.56808	+	6.95161i	0.308969	+	0.224479i
$960$	4.76372	+	9.34932i	0.153748	+	0.301748i
$961$	6.80564	−	2.21129i	0.219537	−	0.0713319i
$962$	−22.5728	+	16.6716i	−0.727778	+	0.537513i
$963$	−4.64229	−	6.38956i	−0.149596	−	0.205901i
$964$	−24.6426	−	12.5560i	−0.793686	−	0.404403i
$965$	−35.7287	−	11.6090i	−1.15015	−	0.373706i
$966$	0.422951	−	0.582142i	0.0136082	−	0.0187301i
$967$	−18.7530	+	18.7530i	−0.603057	+	0.603057i	−0.941122	−	0.338066i	$-0.890227\pi$
$967$	−18.7530	+	18.7530i	−0.603057	+	0.603057i	0.338066	+	0.941122i	$0.390227\pi$
$968$	29.2651	+	1.20473i	0.940617	+	0.0387214i
$969$	17.5243	−	17.5243i	0.562961	−	0.562961i
$970$	3.94259	+	24.8925i	0.126589	+	0.799251i
$971$	13.2356	−	40.7349i	0.424750	−	1.30725i	−0.478484	−	0.878096i	$-0.658813\pi$
$971$	13.2356	−	40.7349i	0.424750	−	1.30725i	0.903234	−	0.429149i	$-0.141187\pi$
$972$	1.31154	−	0.426146i	0.0420678	−	0.0136687i
$973$	0.211581	−	1.33587i	0.00678297	−	0.0428260i
$974$	−20.1827	+	14.6636i	−0.646694	+	0.469851i
$975$	5.92530	+	17.7620i	0.189761	+	0.568841i
$976$	−4.25691	−	1.38315i	−0.136260	−	0.0442737i
$977$	2.71489	+	17.1412i	0.0868572	+	0.548394i	0.992293	+	0.123912i	$0.0395440\pi$
$977$	2.71489	+	17.1412i	0.0868572	+	0.548394i	−0.905436	+	0.424483i	$0.860456\pi$
$978$		−	15.8900i		−	0.508106i
$979$	−14.4118	+	8.42880i	−0.460604	+	0.269386i
$980$	−20.6760	−	20.6760i	−0.660470	−	0.660470i
$981$	4.94440	−	0.783116i	0.157863	−	0.0250030i
$982$	−12.4169	−	24.3695i	−0.396238	−	0.777662i
$983$	−29.4829	−	15.0223i	−0.940358	−	0.479136i	−0.0845437	−	0.996420i	$-0.526943\pi$
$983$	−29.4829	−	15.0223i	−0.940358	−	0.479136i	−0.855814	+	0.517284i	$0.826943\pi$
$984$	10.7504	−	7.81061i	0.342710	−	0.248993i
$985$	39.7515	−	28.8811i	1.26659	−	0.920229i
$986$	−6.47983	+	12.7174i	−0.206360	+	0.405004i
$987$	2.17830	−	6.70412i	0.0693361	−	0.213395i
$988$	−26.6481	+	4.43468i	−0.847790	+	0.141086i
$989$			6.28490i			0.199848i
$990$	5.28745	+	6.45509i	0.168046	+	0.205156i
$991$	21.2857			0.676162			0.338081	−	0.941117i	$-0.390222\pi$
$991$	21.2857			0.676162			0.338081	+	0.941117i	$0.390222\pi$
$992$	−23.0920	−	16.7773i	−0.733172	−	0.532681i
$993$	20.5649	−	10.4783i	0.652607	−	0.332520i
$994$	0.0298830	−	0.0586486i	0.000947830	−	0.00186022i
$995$	−7.26857	+	45.8919i	−0.230429	+	1.45487i
$996$	−9.21523	−	1.45955i	−0.291996	−	0.0462476i
$997$	8.90872	−	2.89462i	0.282142	−	0.0916735i	−0.164528	−	0.986372i	$-0.552610\pi$
$997$	8.90872	−	2.89462i	0.282142	−	0.0916735i	0.446670	+	0.894699i	$0.352610\pi$
$998$	9.26859	−	28.5258i	0.293392	−	0.902968i
$999$	9.75516	−	1.54507i	0.308640	−	0.0488837i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.6	✓	112
11.8	odd	10	inner	429.2.bj.b.151.9	yes	112
13.5	odd	4	inner	429.2.bj.b.304.9	yes	112
143.96	even	20	inner	429.2.bj.b.382.6	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.6	✓	112	1.1	even	1	trivial
429.2.bj.b.151.9	yes	112	11.8	odd	10	inner
429.2.bj.b.304.9	yes	112	13.5	odd	4	inner
429.2.bj.b.382.6	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)

\(f(q)\)	\(=\)	\(q+(-0.778309 + 0.123272i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.31154 + 0.426146i) q^{4} +(3.15337 + 0.499445i) q^{5} +(0.123272 - 0.778309i) q^{6} +(-0.271920 + 0.533674i) q^{7} +(2.37250 - 1.20885i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-0.778309 + 0.123272i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(-1.31154 + 0.426146i) q^{4} +(3.15337 + 0.499445i) q^{5} +(0.123272 - 0.778309i) q^{6} +(-0.271920 + 0.533674i) q^{7} +(2.37250 - 1.20885i) q^{8} +(-0.809017 - 0.587785i) q^{9} -2.51586 q^{10} +(3.20838 + 0.840425i) q^{11} -1.37904i q^{12} +(2.09640 - 2.93345i) q^{13} +(0.145851 - 0.448883i) q^{14} +(-1.44944 + 2.84470i) q^{15} +(0.533810 - 0.387835i) q^{16} +(-3.69031 + 2.68116i) q^{17} +(0.702123 + 0.357750i) q^{18} +(2.46659 + 4.84096i) q^{19} +(-4.34862 + 0.688754i) q^{20} +(-0.423526 - 0.423526i) q^{21} +(-2.60071 - 0.258607i) q^{22} -1.52456i q^{23} +(0.416541 + 2.62994i) q^{24} +(4.93901 + 1.60478i) q^{25} +(-1.27003 + 2.54156i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.129212 - 0.815814i) q^{28} +(-3.77647 + 1.22705i) q^{29} +(0.777445 - 2.39273i) q^{30} +(0.763876 + 4.82293i) q^{31} +(-4.13331 + 4.13331i) q^{32} +(-1.79073 + 2.79164i) q^{33} +(2.54169 - 2.54169i) q^{34} +(-1.12401 + 1.54706i) q^{35} +(1.31154 + 0.426146i) q^{36} +(8.80025 + 4.48395i) q^{37} +(-2.51653 - 3.46370i) q^{38} +(2.14205 + 2.90028i) q^{39} +(8.08513 - 2.62702i) q^{40} +(-2.26562 - 4.44654i) q^{41} +(0.381843 + 0.277425i) q^{42} -4.12244 q^{43} +(-4.56607 + 0.264985i) q^{44} +(-2.25756 - 2.25756i) q^{45} +(0.187935 + 1.18658i) q^{46} +(5.34303 + 10.4863i) q^{47} +(0.203897 + 0.627531i) q^{48} +(3.90363 + 5.37289i) q^{49} +(-4.04190 - 0.640175i) q^{50} +(-1.40957 - 4.33821i) q^{51} +(-1.49944 + 4.74072i) q^{52} +(-8.15213 - 5.92287i) q^{53} +(-0.557208 + 0.557208i) q^{54} +(9.69746 + 4.25258i) q^{55} +1.59485i q^{56} +(-5.36625 + 0.849930i) q^{57} +(2.78800 - 1.42056i) q^{58} +(1.45854 + 0.743164i) q^{59} +(0.688754 - 4.34862i) q^{60} +(-3.98729 - 5.48804i) q^{61} +(-1.18906 - 3.65956i) q^{62} +(0.533674 - 0.271920i) q^{63} +(1.93180 - 2.65890i) q^{64} +(8.07582 - 8.20321i) q^{65} +(1.04961 - 2.39351i) q^{66} +(-4.22698 - 4.22698i) q^{67} +(3.69743 - 5.08907i) q^{68} +(1.44994 + 0.471114i) q^{69} +(0.684115 - 1.34265i) q^{70} +(0.137743 + 0.0218164i) q^{71} +(-2.62994 - 0.416541i) q^{72} +(6.34820 - 12.4590i) q^{73} +(-7.40207 - 2.40508i) q^{74} +(-3.05248 + 4.20138i) q^{75} +(-5.29800 - 5.29800i) q^{76} +(-1.32094 + 1.48370i) q^{77} +(-2.02470 - 1.99326i) q^{78} +(3.28897 - 4.52688i) q^{79} +(1.87700 - 0.956380i) q^{80} +(0.309017 + 0.951057i) q^{81} +(2.31149 + 3.18149i) q^{82} +(1.05838 - 6.68236i) q^{83} +(0.735956 + 0.374989i) q^{84} +(-12.9760 + 6.61160i) q^{85} +(3.20854 - 0.508182i) q^{86} -3.97082i q^{87} +(8.62782 - 1.88454i) q^{88} +(-3.55953 + 3.55953i) q^{89} +(2.03538 + 1.47879i) q^{90} +(0.995450 + 1.91646i) q^{91} +(0.649685 + 1.99952i) q^{92} +(-4.82293 - 0.763876i) q^{93} +(-5.45120 - 7.50293i) q^{94} +(5.36029 + 16.4973i) q^{95} +(-2.65375 - 5.20828i) q^{96} +(-1.56709 - 9.89423i) q^{97} +(-3.70056 - 3.70056i) q^{98} +(-2.10164 - 2.56575i) 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	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Introduction

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