LMFDB - Embedded newform 950.2.h.c.381.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			381.4
Character	$\chi$	$=$	950.381
Dual form			950.2.h.c.571.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-1.31294 + 0.953908i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.03947 + 0.916822i) q^{5} +(-1.31294 - 0.953908i) q^{6} -4.02398 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.113176 + 0.348320i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-1.31294 + 0.953908i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.03947 + 0.916822i) q^{5} +(-1.31294 - 0.953908i) q^{6} -4.02398 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.113176 + 0.348320i) q^{9} +(-1.50218 - 1.65634i) q^{10} +(0.355770 + 1.09495i) q^{11} +(0.501499 - 1.54346i) q^{12} +(-0.757063 + 2.33000i) q^{13} +(-1.24348 - 3.82703i) q^{14} +(1.80314 - 3.14920i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.552358 - 0.401311i) q^{17} -0.366245 q^{18} +(0.809017 + 0.587785i) q^{19} +(1.11107 - 1.94050i) q^{20} +(5.28325 - 3.83851i) q^{21} +(-0.931417 + 0.676714i) q^{22} +(0.354457 + 1.09091i) q^{23} +1.62288 q^{24} +(3.31887 - 3.73966i) q^{25} -2.44991 q^{26} +(-1.68817 - 5.19565i) q^{27} +(3.25547 - 2.36524i) q^{28} +(1.48805 - 1.08113i) q^{29} +(3.55227 + 0.741732i) q^{30} +(3.11572 + 2.26370i) q^{31} +1.00000 q^{32} +(-1.51158 - 1.09823i) q^{33} +(0.210982 - 0.649336i) q^{34} +(8.20679 - 3.68928i) q^{35} +(-0.113176 - 0.348320i) q^{36} +(0.546973 - 1.68341i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-1.22863 - 3.78132i) q^{39} +(2.18886 + 0.457045i) q^{40} +(1.29173 - 3.97554i) q^{41} +(5.28325 + 3.83851i) q^{42} -1.89709 q^{43} +(-0.931417 - 0.676714i) q^{44} +(-0.0885285 - 0.814150i) q^{45} +(-0.927981 + 0.674218i) q^{46} +(-3.82374 + 2.77811i) q^{47} +(0.501499 + 1.54346i) q^{48} +9.19243 q^{49} +(4.58222 + 2.00082i) q^{50} +1.10803 q^{51} +(-0.757063 - 2.33000i) q^{52} +(3.51789 - 2.55589i) q^{53} +(4.41968 - 3.21109i) q^{54} +(-1.72945 - 1.90693i) q^{55} +(3.25547 + 2.36524i) q^{56} -1.62288 q^{57} +(1.48805 + 1.08113i) q^{58} +(0.0654442 - 0.201417i) q^{59} +(0.392282 + 3.60762i) q^{60} +(-0.0373426 - 0.114929i) q^{61} +(-1.19010 + 3.66274i) q^{62} +(0.455418 - 1.40163i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-0.592189 - 5.44606i) q^{65} +(0.577373 - 1.77697i) q^{66} +(-10.4689 - 7.60613i) q^{67} +0.682752 q^{68} +(-1.50601 - 1.09418i) q^{69} +(6.04475 + 6.66507i) q^{70} +(-11.3669 + 8.25854i) q^{71} +(0.296299 - 0.215274i) q^{72} +(4.32678 + 13.3164i) q^{73} +1.77004 q^{74} +(-0.790193 + 8.07586i) q^{75} -1.00000 q^{76} +(-1.43161 - 4.40605i) q^{77} +(3.21658 - 2.33699i) q^{78} +(5.95289 - 4.32503i) q^{79} +(0.241719 + 2.22296i) q^{80} +(6.28374 + 4.56540i) q^{81} +4.18013 q^{82} +(-0.615838 - 0.447433i) q^{83} +(-2.01802 + 6.21084i) q^{84} +(1.49445 + 0.312049i) q^{85} +(-0.586232 - 1.80424i) q^{86} +(-0.922421 + 2.83892i) q^{87} +(0.355770 - 1.09495i) q^{88} +(-0.940042 - 2.89315i) q^{89} +(0.746946 - 0.335782i) q^{90} +(3.04641 - 9.37588i) q^{91} +(-0.927981 - 0.674218i) q^{92} -6.25011 q^{93} +(-3.82374 - 2.77811i) q^{94} +(-2.18886 - 0.457045i) q^{95} +(-1.31294 + 0.953908i) q^{96} +(-0.410218 + 0.298041i) q^{97} +(2.84062 + 8.74252i) q^{98} -0.421656 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) $ 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	−1.31294	+	0.953908i	−0.758027	+	0.550739i	−0.898305	−	0.439373i	$-0.855201\pi$
$3$	−1.31294	+	0.953908i	−0.758027	+	0.550739i	0.140278	+	0.990112i	$0.455201\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.03947	+	0.916822i	−0.912079	+	0.410015i
$5$	−2.03947	+	0.916822i	−0.912079	+	0.410015i
$6$	−1.31294	−	0.953908i	−0.536006	−	0.389431i
$7$	−4.02398			−1.52092			−0.760461	−	0.649383i	$-0.775027\pi$
$7$	−4.02398			−1.52092			−0.760461	+	0.649383i	$0.775027\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	−0.113176	+	0.348320i	−0.0377253	+	0.116107i
$10$	−1.50218	−	1.65634i	−0.475031	−	0.523780i
$11$	0.355770	+	1.09495i	0.107269	+	0.330139i	0.990256	−	0.139257i	$-0.0444716\pi$
$11$	0.355770	+	1.09495i	0.107269	+	0.330139i	−0.882988	+	0.469396i	$0.844472\pi$
$12$	0.501499	−	1.54346i	0.144770	−	0.445557i
$13$	−0.757063	+	2.33000i	−0.209972	+	0.646226i	0.789501	+	0.613749i	$0.210339\pi$
$13$	−0.757063	+	2.33000i	−0.209972	+	0.646226i	−0.999472	+	0.0324766i	$0.989661\pi$
$14$	−1.24348	−	3.82703i	−0.332334	−	1.02282i
$15$	1.80314	−	3.14920i	0.465569	−	0.813120i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.552358	−	0.401311i	−0.133966	−	0.0973323i	0.518784	−	0.854905i	$-0.326385\pi$
$17$	−0.552358	−	0.401311i	−0.133966	−	0.0973323i	−0.652750	+	0.757573i	$0.726385\pi$
$18$	−0.366245			−0.0863248
$19$	0.809017	+	0.587785i	0.185601	+	0.134847i
$19$	0.809017	+	0.587785i	0.185601	+	0.134847i
$20$	1.11107	−	1.94050i	0.248443	−	0.433908i
$21$	5.28325	−	3.83851i	1.15290	−	0.837631i
$22$	−0.931417	+	0.676714i	−0.198579	+	0.144276i
$23$	0.354457	+	1.09091i	0.0739094	+	0.227470i	0.981186	−	0.193064i	$-0.0618426\pi$
$23$	0.354457	+	1.09091i	0.0739094	+	0.227470i	−0.907277	+	0.420534i	$0.861843\pi$
$24$	1.62288			0.331270
$25$	3.31887	−	3.73966i	0.663775	−	0.747933i
$26$	−2.44991			−0.480466
$27$	−1.68817	−	5.19565i	−0.324888	−	0.999903i
$28$	3.25547	−	2.36524i	0.615226	−	0.446988i
$29$	1.48805	−	1.08113i	0.276323	−	0.200761i	−0.440989	−	0.897513i	$-0.645372\pi$
$29$	1.48805	−	1.08113i	0.276323	−	0.200761i	0.717312	+	0.696752i	$0.245372\pi$
$30$	3.55227	+	0.741732i	0.648552	+	0.135421i
$31$	3.11572	+	2.26370i	0.559599	+	0.406573i	0.831312	−	0.555806i	$-0.187590\pi$
$31$	3.11572	+	2.26370i	0.559599	+	0.406573i	−0.271713	+	0.962378i	$0.587590\pi$
$32$	1.00000			0.176777
$33$	−1.51158	−	1.09823i	−0.263133	−	0.191177i
$34$	0.210982	−	0.649336i	0.0361831	−	0.111360i
$35$	8.20679	−	3.68928i	1.38720	−	0.623602i
$36$	−0.113176	−	0.348320i	−0.0188627	−	0.0580533i
$37$	0.546973	−	1.68341i	0.0899218	−	0.276751i	−0.895975	−	0.444104i	$-0.853522\pi$
$37$	0.546973	−	1.68341i	0.0899218	−	0.276751i	0.985897	+	0.167353i	$0.0535220\pi$
$38$	−0.309017	+	0.951057i	−0.0501292	+	0.154282i
$39$	−1.22863	−	3.78132i	−0.196738	−	0.605496i
$40$	2.18886	+	0.457045i	0.346089	+	0.0722652i
$41$	1.29173	−	3.97554i	0.201735	−	0.620876i	−0.798097	−	0.602529i	$-0.794160\pi$
$41$	1.29173	−	3.97554i	0.201735	−	0.620876i	0.999832	−	0.0183466i	$-0.00584023\pi$
$42$	5.28325	+	3.83851i	0.815224	+	0.592295i
$43$	−1.89709			−0.289303			−0.144651	−	0.989483i	$-0.546206\pi$
$43$	−1.89709			−0.289303			−0.144651	+	0.989483i	$0.546206\pi$
$44$	−0.931417	−	0.676714i	−0.140416	−	0.102019i
$45$	−0.0885285	−	0.814150i	−0.0131970	−	0.121366i
$46$	−0.927981	+	0.674218i	−0.136823	+	0.0994080i
$47$	−3.82374	+	2.77811i	−0.557750	+	0.405229i	−0.830635	−	0.556818i	$-0.812022\pi$
$47$	−3.82374	+	2.77811i	−0.557750	+	0.405229i	0.272885	+	0.962047i	$0.412022\pi$
$48$	0.501499	+	1.54346i	0.0723851	+	0.222779i
$49$	9.19243			1.31320
$50$	4.58222	+	2.00082i	0.648024	+	0.282958i
$51$	1.10803			0.155155
$52$	−0.757063	−	2.33000i	−0.104986	−	0.323113i
$53$	3.51789	−	2.55589i	0.483219	−	0.351079i	−0.319352	−	0.947636i	$-0.603465\pi$
$53$	3.51789	−	2.55589i	0.483219	−	0.351079i	0.802571	+	0.596557i	$0.203465\pi$
$54$	4.41968	−	3.21109i	0.601443	−	0.436974i
$55$	−1.72945	−	1.90693i	−0.233199	−	0.257131i
$56$	3.25547	+	2.36524i	0.435031	+	0.316068i
$57$	−1.62288			−0.214956
$58$	1.48805	+	1.08113i	0.195390	+	0.141959i
$59$	0.0654442	−	0.201417i	0.00852011	−	0.0262222i	−0.946706	−	0.322099i	$-0.895612\pi$
$59$	0.0654442	−	0.201417i	0.00852011	−	0.0262222i	0.955226	+	0.295877i	$0.0956117\pi$
$60$	0.392282	+	3.60762i	0.0506434	+	0.465741i
$61$	−0.0373426	−	0.114929i	−0.00478123	−	0.0147151i	0.948637	−	0.316365i	$-0.102463\pi$
$61$	−0.0373426	−	0.114929i	−0.00478123	−	0.0147151i	−0.953419	+	0.301650i	$0.902463\pi$
$62$	−1.19010	+	3.66274i	−0.151143	+	0.465169i
$63$	0.455418	−	1.40163i	0.0573773	−	0.176589i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−0.592189	−	5.44606i	−0.0734521	−	0.675500i
$66$	0.577373	−	1.77697i	0.0710697	−	0.218730i
$67$	−10.4689	−	7.60613i	−1.27899	−	0.929237i	−0.279463	−	0.960156i	$-0.590156\pi$
$67$	−10.4689	−	7.60613i	−1.27899	−	0.929237i	−0.999522	+	0.0309194i	$0.990156\pi$
$68$	0.682752			0.0827958
$69$	−1.50601	−	1.09418i	−0.181302	−	0.131723i
$70$	6.04475	+	6.66507i	0.722486	+	0.796628i
$71$	−11.3669	+	8.25854i	−1.34900	+	0.980109i	−0.349944	+	0.936771i	$0.613799\pi$
$71$	−11.3669	+	8.25854i	−1.34900	+	0.980109i	−0.999060	+	0.0433380i	$0.986201\pi$
$72$	0.296299	−	0.215274i	0.0349191	−	0.0253702i
$73$	4.32678	+	13.3164i	0.506411	+	1.55857i	0.798386	+	0.602146i	$0.205688\pi$
$73$	4.32678	+	13.3164i	0.506411	+	1.55857i	−0.291975	+	0.956426i	$0.594312\pi$
$74$	1.77004			0.205763
$75$	−0.790193	+	8.07586i	−0.0912436	+	0.932520i
$76$	−1.00000			−0.114708
$77$	−1.43161	−	4.40605i	−0.163147	−	0.502116i
$78$	3.21658	−	2.33699i	0.364207	−	0.264612i
$79$	5.95289	−	4.32503i	0.669753	−	0.486604i	−0.200190	−	0.979757i	$-0.564156\pi$
$79$	5.95289	−	4.32503i	0.669753	−	0.486604i	0.869942	+	0.493153i	$0.164156\pi$
$80$	0.241719	+	2.22296i	0.0270250	+	0.248535i
$81$	6.28374	+	4.56540i	0.698193	+	0.507267i
$82$	4.18013			0.461619
$83$	−0.615838	−	0.447433i	−0.0675971	−	0.0491121i	0.553474	−	0.832867i	$-0.313302\pi$
$83$	−0.615838	−	0.447433i	−0.0675971	−	0.0491121i	−0.621071	+	0.783755i	$0.713302\pi$
$84$	−2.01802	+	6.21084i	−0.220184	+	0.677658i
$85$	1.49445	+	0.312049i	0.162096	+	0.0338464i
$86$	−0.586232	−	1.80424i	−0.0632150	−	0.194556i
$87$	−0.922421	+	2.83892i	−0.0988939	+	0.304364i
$88$	0.355770	−	1.09495i	0.0379252	−	0.116722i
$89$	−0.940042	−	2.89315i	−0.0996442	−	0.306673i	0.888792	−	0.458311i	$-0.151545\pi$
$89$	−0.940042	−	2.89315i	−0.0996442	−	0.306673i	−0.988436	+	0.151637i	$0.951545\pi$
$90$	0.746946	−	0.335782i	0.0787350	−	0.0353945i
$91$	3.04641	−	9.37588i	0.319350	−	0.982859i
$92$	−0.927981	−	0.674218i	−0.0967487	−	0.0702920i
$93$	−6.25011			−0.648106
$94$	−3.82374	−	2.77811i	−0.394389	−	0.286540i
$95$	−2.18886	−	0.457045i	−0.224572	−	0.0468919i
$96$	−1.31294	+	0.953908i	−0.134002	+	0.0973578i
$97$	−0.410218	+	0.298041i	−0.0416514	+	0.0302615i	−0.608416	−	0.793618i	$-0.708195\pi$
$97$	−0.410218	+	0.298041i	−0.0416514	+	0.0302615i	0.566765	+	0.823880i	$0.308195\pi$
$98$	2.84062	+	8.74252i	0.286946	+	0.883128i
$99$	−0.421656			−0.0423781
$100$	−0.486906	+	4.97624i	−0.0486906	+	0.497624i
$101$	−0.864974			−0.0860681			−0.0430340	−	0.999074i	$-0.513702\pi$
$101$	−0.864974			−0.0860681			−0.0430340	+	0.999074i	$0.513702\pi$
$102$	0.342399	+	1.05380i	0.0339026	+	0.104341i
$103$	−2.32543	+	1.68953i	−0.229132	+	0.166474i	−0.696428	−	0.717627i	$-0.745228\pi$
$103$	−2.32543	+	1.68953i	−0.229132	+	0.166474i	0.467296	+	0.884101i	$0.345228\pi$
$104$	1.98202	−	1.44002i	0.194353	−	0.141206i
$105$	−7.25580	+	12.6723i	−0.708094	+	1.23669i
$106$	3.51789	+	2.55589i	0.341687	+	0.248250i
$107$	−11.7593			−1.13681			−0.568407	−	0.822747i	$-0.692440\pi$
$107$	−11.7593			−1.13681			−0.568407	+	0.822747i	$0.692440\pi$
$108$	4.41968	+	3.21109i	0.425284	+	0.308987i
$109$	−0.397410	+	1.22310i	−0.0380649	+	0.117152i	−0.968283	−	0.249854i	$-0.919617\pi$
$109$	−0.397410	+	1.22310i	−0.0380649	+	0.117152i	0.930218	+	0.367006i	$0.119617\pi$
$110$	1.27917	−	2.23408i	0.121964	−	0.213011i
$111$	0.887674	+	2.73198i	0.0842543	+	0.259308i
$112$	−1.24348	+	3.82703i	−0.117498	+	0.361621i
$113$	2.79729	−	8.60918i	0.263147	−	0.809884i	−0.728967	−	0.684549i	$-0.759999\pi$
$113$	2.79729	−	8.60918i	0.263147	−	0.809884i	0.992114	−	0.125335i	$-0.0400006\pi$
$114$	−0.501499	−	1.54346i	−0.0469697	−	0.144558i
$115$	−1.72307	−	1.89990i	−0.160677	−	0.177166i
$116$	−0.568383	+	1.74930i	−0.0527731	+	0.162419i
$117$	−0.725904	−	0.527400i	−0.0671099	−	0.0487582i
$118$	0.211782			0.0194961
$119$	2.22268	+	1.61487i	0.203753	+	0.148035i
$120$	−3.30982	+	1.48790i	−0.302144	+	0.135826i
$121$	7.82685	−	5.68654i	0.711532	−	0.516958i
$122$	0.0977643	−	0.0710299i	0.00885116	−	0.00643075i
$123$	2.09633	+	6.45185i	0.189020	+	0.581744i
$124$	−3.85124			−0.345851
$125$	−3.34014	+	10.6697i	−0.298751	+	0.954331i
$126$	1.47376			0.131293
$127$	−5.93521	−	18.2667i	−0.526665	−	1.62091i	−0.761000	−	0.648751i	$-0.775292\pi$
$127$	−5.93521	−	18.2667i	−0.526665	−	1.62091i	0.234336	−	0.972156i	$-0.424708\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	2.49076	−	1.80964i	0.219299	−	0.159330i
$130$	4.99651	−	2.24613i	0.438223	−	0.196999i
$131$	−7.38385	−	5.36468i	−0.645130	−	0.468715i	0.216479	−	0.976287i	$-0.430543\pi$
$131$	−7.38385	−	5.36468i	−0.645130	−	0.468715i	−0.861609	+	0.507573i	$0.830543\pi$
$132$	1.86842			0.162625
$133$	−3.25547	−	2.36524i	−0.282285	−	0.205092i
$134$	3.99878	−	12.3070i	0.345442	−	1.06316i
$135$	8.20646	+	9.04862i	0.706299	+	0.778781i
$136$	0.210982	+	0.649336i	0.0180916	+	0.0556801i
$137$	0.344075	−	1.05895i	0.0293963	−	0.0904726i	−0.935282	−	0.353904i	$-0.884854\pi$
$137$	0.344075	−	1.05895i	0.0293963	−	0.0904726i	0.964678	+	0.263431i	$0.0848541\pi$
$138$	0.575243	−	1.77042i	0.0489679	−	0.150708i
$139$	−2.78192	−	8.56188i	−0.235960	−	0.726209i	−0.996993	−	0.0774960i	$-0.975307\pi$
$139$	−2.78192	−	8.56188i	−0.235960	−	0.726209i	0.761033	−	0.648713i	$-0.224693\pi$
$140$	−4.47093	+	7.80852i	−0.377863	+	0.659940i
$141$	2.37029	−	7.29499i	0.199614	−	0.614349i
$142$	−11.3669	−	8.25854i	−0.953890	−	0.693042i
$143$	−2.82057			−0.235868
$144$	0.296299	+	0.215274i	0.0246916	+	0.0179395i
$145$	−2.04362	+	3.56921i	−0.169714	+	0.296406i
$146$	−11.3276	+	8.23002i	−0.937483	+	0.681121i
$147$	−12.0691	+	8.76873i	−0.995445	+	0.723233i
$148$	0.546973	+	1.68341i	0.0449609	+	0.138375i
$149$	16.8281			1.37862			0.689308	−	0.724469i	$-0.257915\pi$
$149$	16.8281			1.37862			0.689308	+	0.724469i	$0.257915\pi$
$150$	−7.92478	+	1.74406i	−0.647056	+	0.142402i
$151$	15.8276			1.28803			0.644014	−	0.765014i	$-0.277268\pi$
$151$	15.8276			1.28803			0.644014	+	0.765014i	$0.277268\pi$
$152$	−0.309017	−	0.951057i	−0.0250646	−	0.0771409i
$153$	0.202298	−	0.146978i	0.0163549	−	0.0118825i
$154$	3.74801	−	2.72309i	0.302023	−	0.219433i
$155$	−8.42982	−	1.76019i	−0.677099	−	0.141382i
$156$	3.21658	+	2.33699i	0.257533	+	0.187109i
$157$	−22.8840			−1.82634			−0.913169	−	0.407581i	$-0.866372\pi$
$157$	−22.8840			−1.82634			−0.913169	+	0.407581i	$0.866372\pi$
$158$	5.95289	+	4.32503i	0.473587	+	0.344081i
$159$	−2.18069	+	6.71148i	−0.172940	+	0.532255i
$160$	−2.03947	+	0.916822i	−0.161234	+	0.0724812i
$161$	−1.42633	−	4.38979i	−0.112411	−	0.345964i
$162$	−2.40017	+	7.38698i	−0.188576	+	0.580376i
$163$	7.57126	−	23.3019i	0.593027	−	1.82515i	0.0287135	−	0.999588i	$-0.490859\pi$
$163$	7.57126	−	23.3019i	0.593027	−	1.82515i	0.564313	−	0.825561i	$-0.309141\pi$
$164$	1.29173	+	3.97554i	0.100867	+	0.310438i
$165$	4.08971	+	0.853952i	0.318383	+	0.0664801i
$166$	0.235229	−	0.723962i	0.0182573	−	0.0561903i
$167$	−16.6549	−	12.1005i	−1.28880	−	0.936366i	−0.289017	−	0.957324i	$-0.593328\pi$
$167$	−16.6549	−	12.1005i	−1.28880	−	0.936366i	−0.999780	+	0.0209580i	$0.993328\pi$
$168$	−6.53046			−0.503836
$169$	5.66146	+	4.11329i	0.435497	+	0.316407i
$170$	0.165034	+	1.51773i	0.0126575	+	0.116405i
$171$	−0.296299	+	0.215274i	−0.0226585	+	0.0164624i
$172$	1.53477	−	1.11508i	0.117025	−	0.0850240i
$173$	7.94028	+	24.4377i	0.603688	+	1.85796i	0.505566	+	0.862788i	$0.331284\pi$
$173$	7.94028	+	24.4377i	0.603688	+	1.85796i	0.0981222	+	0.995174i	$0.468716\pi$
$174$	−2.98502			−0.226293
$175$	−13.3551	+	15.0483i	−1.00955	+	1.13755i
$176$	1.15130			0.0867821
$177$	0.106208	+	0.326876i	0.00798312	+	0.0245695i
$178$	2.46106	−	1.78807i	0.184464	−	0.134021i
$179$	−12.3675	+	8.98549i	−0.924388	+	0.671607i	−0.944612	−	0.328188i	$-0.893562\pi$
$179$	−12.3675	+	8.98549i	−0.924388	+	0.671607i	0.0202242	+	0.999795i	$0.493562\pi$
$180$	0.550167	+	0.606626i	0.0410070	+	0.0452152i
$181$	−12.3754	−	8.99122i	−0.919853	−	0.668312i	0.0236344	−	0.999721i	$-0.492476\pi$
$181$	−12.3754	−	8.99122i	−0.919853	−	0.668312i	−0.943487	+	0.331408i	$0.892476\pi$
$182$	9.85839			0.730752
$183$	0.158660	+	0.115273i	0.0117285	+	0.00852125i
$184$	0.354457	−	1.09091i	0.0261309	−	0.0804227i
$185$	0.427853	+	3.93474i	0.0314564	+	0.289288i
$186$	−1.93139	−	5.94421i	−0.141616	−	0.435851i
$187$	0.242902	−	0.747577i	0.0177628	−	0.0546682i
$188$	1.46054	−	4.49508i	0.106521	−	0.327837i
$189$	6.79316	+	20.9072i	0.494130	+	1.52077i
$190$	−0.241719	−	2.22296i	−0.0175361	−	0.161271i
$191$	−3.32276	+	10.2264i	−0.240426	+	0.739956i	0.755929	+	0.654654i	$0.227186\pi$
$191$	−3.32276	+	10.2264i	−0.240426	+	0.739956i	−0.996355	+	0.0853021i	$0.972814\pi$
$192$	−1.31294	−	0.953908i	−0.0947534	−	0.0688424i
$193$	11.4538			0.824459			0.412230	−	0.911080i	$-0.364750\pi$
$193$	11.4538			0.824459			0.412230	+	0.911080i	$0.364750\pi$
$194$	−0.410218	−	0.298041i	−0.0294520	−	0.0213981i
$195$	5.97255	+	6.58546i	0.427703	+	0.471595i
$196$	−7.43684	+	5.40318i	−0.531203	+	0.385941i
$197$	−7.74664	+	5.62826i	−0.551925	+	0.400997i	−0.828495	−	0.559997i	$-0.810802\pi$
$197$	−7.74664	+	5.62826i	−0.551925	+	0.400997i	0.276570	+	0.960994i	$0.410802\pi$
$198$	−0.130299	−	0.401019i	−0.00925995	−	0.0284992i
$199$	−11.6146			−0.823335			−0.411667	−	0.911334i	$-0.635053\pi$
$199$	−11.6146			−0.823335			−0.411667	+	0.911334i	$0.635053\pi$
$200$	−4.88314	+	1.07467i	−0.345290	+	0.0759904i
$201$	21.0007			1.48127
$202$	−0.267292	−	0.822639i	−0.0188066	−	0.0578807i
$203$	−5.98787	+	4.35045i	−0.420266	+	0.305341i
$204$	−0.896413	+	0.651282i	−0.0627615	+	0.0455989i
$205$	1.01042	+	9.29229i	0.0705707	+	0.649002i
$206$	−2.32543	−	1.68953i	−0.162021	−	0.117715i
$207$	−0.420101			−0.0291990
$208$	1.98202	+	1.44002i	0.137428	+	0.0998474i
$209$	−0.355770	+	1.09495i	−0.0246091	+	0.0757390i
$210$	−14.2943	−	2.98472i	−0.986398	−	0.205965i
$211$	−5.39411	−	16.6014i	−0.371346	−	1.14289i	−0.945911	−	0.324427i	$-0.894829\pi$
$211$	−5.39411	−	16.6014i	−0.371346	−	1.14289i	0.574565	−	0.818459i	$-0.305171\pi$
$212$	−1.34371	+	4.13552i	−0.0922866	+	0.284029i
$213$	7.04620	−	21.6860i	0.482797	−	1.48590i
$214$	−3.63382	−	11.1838i	−0.248403	−	0.764506i
$215$	3.86905	−	1.73929i	0.263867	−	0.118619i
$216$	−1.68817	+	5.19565i	−0.114865	+	0.353519i
$217$	−12.5376	−	9.10909i	−0.851107	−	0.618365i
$218$	−1.28604			−0.0871019
$219$	−18.3835	−	13.3564i	−1.24224	−	0.902540i
$220$	2.52002	+	0.526194i	0.169900	+	0.0354760i
$221$	1.35323	−	0.983176i	0.0910278	−	0.0661356i
$222$	−2.32396	+	1.68846i	−0.155974	+	0.113322i
$223$	5.28159	+	16.2551i	0.353681	+	1.08852i	0.956770	+	0.290845i	$0.0939365\pi$
$223$	5.28159	+	16.2551i	0.353681	+	1.08852i	−0.603089	+	0.797674i	$0.706063\pi$
$224$	−4.02398			−0.268864
$225$	0.926982	+	1.57927i	0.0617988	+	0.105285i
$226$	9.05223			0.602145
$227$	6.72990	+	20.7125i	0.446679	+	1.37474i	0.880631	+	0.473802i	$0.157119\pi$
$227$	6.72990	+	20.7125i	0.446679	+	1.37474i	−0.433952	+	0.900936i	$0.642881\pi$
$228$	1.31294	−	0.953908i	0.0869517	−	0.0631741i
$229$	−7.70930	+	5.60113i	−0.509445	+	0.370133i	−0.812613	−	0.582804i	$-0.801956\pi$
$229$	−7.70930	+	5.60113i	−0.509445	+	0.370133i	0.303168	+	0.952937i	$0.401956\pi$
$230$	1.27445	−	2.22584i	0.0840348	−	0.146768i
$231$	6.08258	+	4.41925i	0.400205	+	0.290766i
$232$	−1.83933			−0.120758
$233$	−8.75477	−	6.36071i	−0.573544	−	0.416704i	0.262847	−	0.964838i	$-0.415339\pi$
$233$	−8.75477	−	6.36071i	−0.573544	−	0.416704i	−0.836391	+	0.548134i	$0.815339\pi$
$234$	0.277271	−	0.853352i	0.0181258	−	0.0557853i
$235$	5.25137	−	9.17156i	0.342562	−	0.598287i
$236$	0.0654442	+	0.201417i	0.00426006	+	0.0131111i
$237$	−3.69012	+	11.3570i	−0.239699	+	0.737717i
$238$	−0.848988	+	2.61292i	−0.0550317	+	0.169370i
$239$	−6.55755	−	20.1821i	−0.424173	−	1.30547i	−0.903784	−	0.427988i	$-0.859222\pi$
$239$	−6.55755	−	20.1821i	−0.424173	−	1.30547i	0.479612	−	0.877481i	$-0.340778\pi$
$240$	−2.43787	−	2.68804i	−0.157364	−	0.173513i
$241$	5.34486	−	16.4498i	0.344293	−	1.05962i	−0.617668	−	0.786439i	$-0.711923\pi$
$241$	5.34486	−	16.4498i	0.344293	−	1.05962i	0.961961	−	0.273186i	$-0.0880774\pi$
$242$	7.82685	+	5.68654i	0.503129	+	0.365545i
$243$	3.78393			0.242739
$244$	0.0977643	+	0.0710299i	0.00625872	+	0.00454722i
$245$	−18.7477	+	8.42783i	−1.19775	+	0.538434i
$246$	−5.48827	+	3.98746i	−0.349919	+	0.254231i
$247$	−1.98202	+	1.44002i	−0.126113	+	0.0916263i
$248$	−1.19010	−	3.66274i	−0.0755713	−	0.232584i
$249$	1.23537			0.0782884
$250$	−11.1797	+	0.120475i	−0.707066	+	0.00761954i
$251$	−1.45986			−0.0921456			−0.0460728	−	0.998938i	$-0.514671\pi$
$251$	−1.45986			−0.0921456			−0.0460728	+	0.998938i	$0.514671\pi$
$252$	0.455418	+	1.40163i	0.0286887	+	0.0882946i
$253$	−1.06838	+	0.776223i	−0.0671685	+	0.0488007i
$254$	15.5386	−	11.2894i	0.974977	−	0.708362i
$255$	−2.25979	+	1.01586i	−0.141513	+	0.0636159i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	15.7020			0.979461			0.489730	−	0.871874i	$-0.337095\pi$
$257$	15.7020			0.979461			0.489730	+	0.871874i	$0.337095\pi$
$258$	2.49076	+	1.80964i	0.155068	+	0.112664i
$259$	−2.20101	+	6.77401i	−0.136764	+	0.420917i
$260$	3.68020	+	4.05787i	0.228237	+	0.251659i
$261$	0.208168	+	0.640674i	0.0128853	+	0.0396567i
$262$	2.82038	−	8.68024i	0.174244	−	0.536267i
$263$	−1.47458	+	4.53829i	−0.0909265	+	0.279843i	−0.986171	−	0.165733i	$-0.947001\pi$
$263$	−1.47458	+	4.53829i	−0.0909265	+	0.279843i	0.895244	+	0.445576i	$0.147001\pi$
$264$	0.577373	+	1.77697i	0.0355349	+	0.109365i
$265$	−4.83132	+	8.43794i	−0.296786	+	0.518339i
$266$	1.24348	−	3.82703i	0.0762426	−	0.234651i
$267$	3.99402	+	2.90182i	0.244430	+	0.177589i
$268$	12.9403			0.790456
$269$	−3.65386	−	2.65468i	−0.222780	−	0.161859i	0.470797	−	0.882241i	$-0.343966\pi$
$269$	−3.65386	−	2.65468i	−0.222780	−	0.161859i	−0.693577	+	0.720382i	$0.743966\pi$
$270$	−6.06981	+	10.6010i	−0.369397	+	0.645155i
$271$	0.701023	−	0.509323i	0.0425841	−	0.0309392i	−0.566290	−	0.824206i	$-0.691622\pi$
$271$	0.701023	−	0.509323i	0.0425841	−	0.0309392i	0.608874	+	0.793267i	$0.291622\pi$
$272$	−0.552358	+	0.401311i	−0.0334916	+	0.0243331i
$273$	4.94397	+	15.2160i	0.299223	+	0.920913i
$274$	1.11345			0.0672660
$275$	5.27549	+	2.30353i	0.318124	+	0.138908i
$276$	1.86153			0.112051
$277$	−3.13207	−	9.63952i	−0.188188	−	0.579182i	0.811801	−	0.583934i	$-0.198487\pi$
$277$	−3.13207	−	9.63952i	−0.188188	−	0.579182i	−0.999989	+	0.00475188i	$0.998487\pi$
$278$	7.28317	−	5.29153i	0.436816	−	0.317365i
$279$	−1.14112	+	0.829069i	−0.0683168	+	0.0496351i
$280$	−8.80794	−	1.83914i	−0.526375	−	0.109910i
$281$	3.89008	+	2.82631i	0.232063	+	0.168603i	0.697740	−	0.716351i	$-0.254189\pi$
$281$	3.89008	+	2.82631i	0.232063	+	0.168603i	−0.465677	+	0.884955i	$0.654189\pi$
$282$	7.67041			0.456766
$283$	−20.5540	−	14.9334i	−1.22181	−	0.887697i	−0.225561	−	0.974229i	$-0.572421\pi$
$283$	−20.5540	−	14.9334i	−1.22181	−	0.887697i	−0.996249	+	0.0865322i	$0.972421\pi$
$284$	4.34177	−	13.3626i	0.257637	−	0.792925i
$285$	3.30982	−	1.48790i	0.196057	−	0.0881354i
$286$	−0.871603	−	2.68252i	−0.0515390	−	0.158621i
$287$	−5.19791	+	15.9975i	−0.306823	+	0.944304i
$288$	−0.113176	+	0.348320i	−0.00666896	+	0.0205250i
$289$	−5.10924	−	15.7246i	−0.300544	−	0.924978i
$290$	−4.02603	−	0.840656i	−0.236417	−	0.0493650i
$291$	0.254289	−	0.782621i	0.0149067	−	0.0458781i
$292$	−11.3276	−	8.23002i	−0.662900	−	0.481625i
$293$	−16.4740			−0.962419			−0.481209	−	0.876606i	$-0.659802\pi$
$293$	−16.4740			−0.962419			−0.481209	+	0.876606i	$0.659802\pi$
$294$	−12.0691	−	8.76873i	−0.703886	−	0.511403i
$295$	0.0511918	+	0.470784i	0.00298050	+	0.0274101i
$296$	−1.43199	+	1.04040i	−0.0832329	+	0.0604723i
$297$	5.08836	−	3.69691i	0.295257	−	0.214516i
$298$	5.20018	+	16.0045i	0.301239	+	0.927117i
$299$	−2.81016			−0.162516
$300$	−4.10759	−	6.99797i	−0.237152	−	0.404028i
$301$	7.63384			0.440007
$302$	4.89098	+	15.0529i	0.281444	+	0.866197i
$303$	1.13566	−	0.825105i	0.0652419	−	0.0474010i
$304$	0.809017	−	0.587785i	0.0464003	−	0.0337118i
$305$	0.181528	+	0.200157i	0.0103943	+	0.0114610i
$306$	0.202298	+	0.146978i	0.0115646	+	0.00840220i
$307$	30.9207			1.76474			0.882368	−	0.470559i	$-0.155948\pi$
$307$	30.9207			1.76474			0.882368	+	0.470559i	$0.155948\pi$
$308$	3.74801	+	2.72309i	0.213562	+	0.155162i
$309$	1.44151	−	4.43650i	0.0820044	−	0.252383i
$310$	−0.930917	−	8.56116i	−0.0528726	−	0.486241i
$311$	3.20617	+	9.86758i	0.181805	+	0.559539i	0.999879	−	0.0155746i	$-0.00495775\pi$
$311$	3.20617	+	9.86758i	0.181805	+	0.559539i	−0.818073	+	0.575114i	$0.804958\pi$
$312$	−1.22863	+	3.78132i	−0.0695573	+	0.214075i
$313$	1.90591	−	5.86578i	0.107728	−	0.331554i	−0.882633	−	0.470063i	$-0.844231\pi$
$313$	1.90591	−	5.86578i	0.107728	−	0.331554i	0.990361	+	0.138509i	$0.0442311\pi$
$314$	−7.07153	−	21.7639i	−0.399070	−	1.22821i
$315$	0.356237	+	3.27613i	0.0200717	+	0.184589i
$316$	−2.27380	+	6.99804i	−0.127911	+	0.393671i
$317$	5.19040	+	3.77104i	0.291522	+	0.211803i	0.723927	−	0.689876i	$-0.242335\pi$
$317$	5.19040	+	3.77104i	0.291522	+	0.211803i	−0.432405	+	0.901679i	$0.642335\pi$
$318$	−7.05686			−0.395729
$319$	1.71318	+	1.24470i	0.0959197	+	0.0696898i
$320$	−1.50218	−	1.65634i	−0.0839745	−	0.0925921i
$321$	15.4393	−	11.2173i	0.861736	−	0.626088i
$322$	3.73418	−	2.71304i	0.208098	−	0.151192i
$323$	−0.210982	−	0.649336i	−0.0117393	−	0.0361300i
$324$	−7.76713			−0.431507
$325$	6.20082	+	10.5641i	0.343960	+	0.585993i
$326$	24.5011			1.35699
$327$	−0.644950	−	1.98495i	−0.0356658	−	0.109768i
$328$	−3.38180	+	2.45702i	−0.186729	+	0.135666i
$329$	15.3867	−	11.1791i	0.848294	−	0.616322i
$330$	0.451633	+	4.15343i	0.0248616	+	0.228639i
$331$	3.06910	+	2.22983i	0.168693	+	0.122563i	0.668929	−	0.743327i	$-0.266753\pi$
$331$	3.06910	+	2.22983i	0.168693	+	0.122563i	−0.500235	+	0.865889i	$0.666753\pi$
$332$	0.761218			0.0417773
$333$	0.524461	+	0.381043i	0.0287403	+	0.0208810i
$334$	6.36162	−	19.5790i	0.348092	−	1.07132i
$335$	28.3246	+	5.91432i	1.54754	+	0.323134i
$336$	−2.01802	−	6.21084i	−0.110092	−	0.338829i
$337$	−2.92318	+	8.99662i	−0.159236	+	0.490077i	−0.998565	−	0.0535455i	$-0.982948\pi$
$337$	−2.92318	+	8.99662i	−0.159236	+	0.490077i	0.839330	+	0.543623i	$0.182948\pi$
$338$	−2.16249	+	6.65545i	−0.117624	+	0.362009i
$339$	4.53968	+	13.9717i	0.246562	+	0.758839i
$340$	−1.39245	+	0.625962i	−0.0755163	+	0.0339476i
$341$	−1.37015	+	4.21690i	−0.0741980	+	0.228358i
$342$	−0.296299	−	0.215274i	−0.0160220	−	0.0116407i
$343$	−8.82232			−0.476360
$344$	1.53477	+	1.11508i	0.0827495	+	0.0601210i
$345$	4.07462	+	0.850802i	0.219370	+	0.0458056i
$346$	−20.7879	+	15.1033i	−1.11757	+	0.811959i
$347$	0.729093	−	0.529717i	0.0391398	−	0.0284367i	−0.568043	−	0.822999i	$-0.692299\pi$
$347$	0.729093	−	0.529717i	0.0391398	−	0.0284367i	0.607183	+	0.794562i	$0.292299\pi$
$348$	−0.922421	−	2.83892i	−0.0494469	−	0.152182i
$349$	−8.58291			−0.459433			−0.229716	−	0.973258i	$-0.573780\pi$
$349$	−8.58291			−0.459433			−0.229716	+	0.973258i	$0.573780\pi$
$350$	−18.4388	−	8.05125i	−0.985594	−	0.430358i
$351$	13.3839			0.714380
$352$	0.355770	+	1.09495i	0.0189626	+	0.0583609i
$353$	10.0651	−	7.31274i	0.535713	−	0.389218i	−0.286778	−	0.957997i	$-0.592584\pi$
$353$	10.0651	−	7.31274i	0.535713	−	0.389218i	0.822490	+	0.568779i	$0.192584\pi$
$354$	−0.278057	+	0.202021i	−0.0147786	+	0.0107373i
$355$	15.6109	−	27.2645i	0.828538	−	1.44705i
$356$	2.46106	+	1.78807i	0.130436	+	0.0947673i
$357$	−4.45868			−0.235979
$358$	−12.3675	−	8.98549i	−0.653641	−	0.474898i
$359$	−1.53574	+	4.72653i	−0.0810534	+	0.249457i	−0.983369	−	0.181620i	$-0.941866\pi$
$359$	−1.53574	+	4.72653i	−0.0810534	+	0.249457i	0.902315	+	0.431076i	$0.141866\pi$
$360$	−0.406925	+	0.710697i	−0.0214468	+	0.0374570i
$361$	0.309017	+	0.951057i	0.0162641	+	0.0500556i
$362$	4.72697	−	14.5481i	0.248444	−	0.764631i
$363$	−4.85176	+	14.9322i	−0.254651	+	0.783737i
$364$	3.04641	+	9.37588i	0.159675	+	0.491430i
$365$	−21.0331	−	23.1916i	−1.10093	−	1.21390i
$366$	−0.0606028	+	0.186516i	−0.00316776	+	0.00974936i
$367$	−12.5313	−	9.10453i	−0.654129	−	0.475252i	0.210546	−	0.977584i	$-0.432476\pi$
$367$	−12.5313	−	9.10453i	−0.654129	−	0.475252i	−0.864675	+	0.502331i	$0.832476\pi$
$368$	1.14705			0.0597940
$369$	1.23857	+	0.899872i	0.0644773	+	0.0468455i
$370$	−3.60995	+	1.62281i	−0.187672	+	0.0843661i
$371$	−14.1559	+	10.2849i	−0.734938	+	0.533964i
$372$	5.05645	−	3.67372i	0.262165	−	0.190474i
$373$	3.92047	+	12.0660i	0.202994	+	0.624753i	0.999790	+	0.0205035i	$0.00652691\pi$
$373$	3.92047	+	12.0660i	0.202994	+	0.624753i	−0.796795	+	0.604249i	$0.793473\pi$
$374$	0.786049			0.0406456
$375$	−5.79255	−	17.1949i	−0.299126	−	0.887942i
$376$	4.72640			0.243746
$377$	1.39249	+	4.28563i	0.0717167	+	0.220721i
$378$	−17.7847	+	12.9214i	−0.914748	+	0.664603i
$379$	3.14352	−	2.28390i	0.161472	−	0.117316i	−0.504115	−	0.863636i	$-0.668181\pi$
$379$	3.14352	−	2.28390i	0.161472	−	0.117316i	0.665587	+	0.746320i	$0.268181\pi$
$380$	2.03947	−	0.916822i	0.104623	−	0.0470320i
$381$	25.2173	+	18.3215i	1.29192	+	0.938637i
$382$	−10.7527			−0.550154
$383$	30.0186	+	21.8098i	1.53388	+	1.11443i	0.954032	+	0.299703i	$0.0968877\pi$
$383$	30.0186	+	21.8098i	1.53388	+	1.11443i	0.579847	+	0.814725i	$0.303112\pi$
$384$	0.501499	−	1.54346i	0.0255920	−	0.0787641i
$385$	6.95929	+	7.67346i	0.354678	+	0.391076i
$386$	3.53940	+	10.8932i	0.180151	+	0.554448i
$387$	0.214705	−	0.660793i	0.0109140	−	0.0335900i
$388$	0.156689	−	0.482241i	0.00795470	−	0.0244821i
$389$	−2.74802	−	8.45754i	−0.139330	−	0.428814i	0.856908	−	0.515469i	$-0.172382\pi$
$389$	−2.74802	−	8.45754i	−0.139330	−	0.428814i	−0.996238	+	0.0866548i	$0.972382\pi$
$390$	−4.41753	+	7.71525i	−0.223690	+	0.390677i
$391$	0.242006	−	0.744819i	0.0122388	−	0.0376671i
$392$	−7.43684	−	5.40318i	−0.375617	−	0.272902i
$393$	14.8120			0.747166
$394$	−7.74664	−	5.62826i	−0.390270	−	0.283548i
$395$	−8.17546	+	14.2785i	−0.411352	+	0.718430i
$396$	0.341127	−	0.247843i	0.0171423	−	0.0124546i
$397$	4.11311	−	2.98835i	0.206431	−	0.149981i	−0.479766	−	0.877396i	$-0.659279\pi$
$397$	4.11311	−	2.98835i	0.206431	−	0.149981i	0.686197	+	0.727415i	$0.259279\pi$
$398$	−3.58910	−	11.0461i	−0.179905	−	0.553691i
$399$	6.53046			0.326932
$400$	−2.53104	−	4.31206i	−0.126552	−	0.215603i
$401$	1.40150			0.0699874			0.0349937	−	0.999388i	$-0.488859\pi$
$401$	1.40150			0.0699874			0.0349937	+	0.999388i	$0.488859\pi$
$402$	6.48956	+	19.9728i	0.323670	+	0.996153i
$403$	−7.63322	+	5.54586i	−0.380238	+	0.276259i
$404$	0.699778	−	0.508419i	0.0348153	−	0.0252948i
$405$	−17.0012	−	3.54993i	−0.844794	−	0.176397i
$406$	−5.98787	−	4.35045i	−0.297173	−	0.215909i
$407$	2.03784			0.101012
$408$	−0.896413	−	0.651282i	−0.0443791	−	0.0322433i
$409$	3.76797	−	11.5966i	0.186314	−	0.573415i	−0.813655	−	0.581349i	$-0.802525\pi$
$409$	3.76797	−	11.5966i	0.186314	−	0.573415i	0.999969	+	0.00793327i	$0.00252527\pi$
$410$	−8.52526	+	3.83244i	−0.421032	+	0.189271i
$411$	0.558394	+	1.71856i	0.0275436	+	0.0847704i
$412$	0.888236	−	2.73371i	0.0437603	−	0.134680i
$413$	−0.263346	+	0.810497i	−0.0129584	+	0.0398820i
$414$	−0.129818	−	0.399540i	−0.00638022	−	0.0196363i
$415$	1.66620	+	0.347911i	0.0817906	+	0.0170783i
$416$	−0.757063	+	2.33000i	−0.0371181	+	0.114238i
$417$	11.8197	+	8.58755i	0.578815	+	0.420534i
$418$	−1.15130			−0.0563117
$419$	−24.1852	−	17.5716i	−1.18152	−	0.858428i	−0.189182	−	0.981942i	$-0.560583\pi$
$419$	−24.1852	−	17.5716i	−1.18152	−	0.858428i	−0.992343	+	0.123514i	$0.960583\pi$
$420$	−1.57854	−	14.5170i	−0.0770247	−	0.708356i
$421$	14.4558	−	10.5027i	0.704532	−	0.511872i	−0.176873	−	0.984234i	$-0.556598\pi$
$421$	14.4558	−	10.5027i	0.704532	−	0.511872i	0.881405	+	0.472361i	$0.156598\pi$
$422$	14.1220	−	10.2602i	0.687447	−	0.499459i
$423$	−0.534916	−	1.64630i	−0.0260085	−	0.0800459i
$424$	−4.34835			−0.211174
$425$	−3.33398	+	0.733730i	−0.161722	+	0.0355911i
$426$	22.8020			1.10476
$427$	0.150266	+	0.462472i	0.00727189	+	0.0223806i
$428$	9.51348	−	6.91195i	0.459851	−	0.334102i
$429$	3.70324	−	2.69056i	0.178794	−	0.129901i
$430$	2.84977	+	3.14221i	0.137428	+	0.151531i
$431$	−27.9750	−	20.3250i	−1.34751	−	0.979022i	−0.999132	−	0.0416678i	$-0.986733\pi$
$431$	−27.9750	−	20.3250i	−1.34751	−	0.979022i	−0.348377	−	0.937354i	$-0.613267\pi$
$432$	−5.46303			−0.262840
$433$	4.57335	+	3.32273i	0.219781	+	0.159680i	0.692228	−	0.721679i	$-0.256629\pi$
$433$	4.57335	+	3.32273i	0.219781	+	0.159680i	−0.472447	+	0.881359i	$0.656629\pi$
$434$	4.78893	−	14.7388i	0.229876	−	0.707486i
$435$	−0.721535	−	6.63559i	−0.0345950	−	0.318152i
$436$	−0.397410	−	1.22310i	−0.0190325	−	0.0585759i
$437$	−0.354457	+	1.09091i	−0.0169560	+	0.0521852i
$438$	7.02186	−	21.6111i	0.335517	−	1.03262i
$439$	−0.519598	−	1.59916i	−0.0247990	−	0.0763236i	0.937891	−	0.346930i	$-0.112776\pi$
$439$	−0.519598	−	1.59916i	−0.0247990	−	0.0763236i	−0.962690	+	0.270606i	$0.912776\pi$
$440$	0.278290	+	2.55929i	0.0132670	+	0.122009i
$441$	−1.04036	+	3.20191i	−0.0495411	+	0.152472i
$442$	1.35323	+	0.983176i	0.0643664	+	0.0467649i
$443$	10.4182			0.494984			0.247492	−	0.968890i	$-0.420394\pi$
$443$	10.4182			0.494984			0.247492	+	0.968890i	$0.420394\pi$
$444$	−2.32396	−	1.68846i	−0.110290	−	0.0801306i
$445$	4.56969	+	5.03864i	0.216624	+	0.238855i
$446$	−13.8274	+	10.0462i	−0.654746	+	0.475701i
$447$	−22.0944	+	16.0525i	−1.04503	+	0.759257i
$448$	−1.24348	−	3.82703i	−0.0587489	−	0.180810i
$449$	5.61877			0.265166			0.132583	−	0.991172i	$-0.457673\pi$
$449$	5.61877			0.265166			0.132583	+	0.991172i	$0.457673\pi$
$450$	−1.21552	+	1.36963i	−0.0573002	+	0.0645652i
$451$	4.81257			0.226615
$452$	2.79729	+	8.60918i	0.131574	+	0.404942i
$453$	−20.7806	+	15.0980i	−0.976360	+	0.709367i
$454$	−17.6191	+	12.8010i	−0.826906	+	0.600782i
$455$	2.38296	+	21.9148i	0.111715	+	1.02738i
$456$	1.31294	+	0.953908i	0.0614841	+	0.0446708i
$457$	36.5970			1.71194			0.855969	−	0.517028i	$-0.172962\pi$
$457$	36.5970			1.71194			0.855969	+	0.517028i	$0.172962\pi$
$458$	−7.70930	−	5.60113i	−0.360232	−	0.261724i
$459$	−1.15260	+	3.54734i	−0.0537988	+	0.165576i
$460$	2.51073	+	0.524253i	0.117063	+	0.0244434i
$461$	3.19339	+	9.82824i	0.148731	+	0.457747i	0.997472	−	0.0710620i	$-0.0226388\pi$
$461$	3.19339	+	9.82824i	0.148731	+	0.457747i	−0.848741	+	0.528809i	$0.822639\pi$
$462$	−2.32334	+	7.15050i	−0.108092	+	0.332672i
$463$	2.02571	−	6.23449i	0.0941426	−	0.289741i	−0.892887	−	0.450281i	$-0.851324\pi$
$463$	2.02571	−	6.23449i	0.0941426	−	0.289741i	0.987029	+	0.160540i	$0.0513236\pi$
$464$	−0.568383	−	1.74930i	−0.0263865	−	0.0812094i
$465$	12.7469	−	5.73024i	0.591124	−	0.265734i
$466$	3.34402	−	10.2918i	0.154909	−	0.476760i
$467$	25.3885	+	18.4458i	1.17484	+	0.853571i	0.991580	−	0.129494i	$-0.0413352\pi$
$467$	25.3885	+	18.4458i	1.17484	+	0.853571i	0.183259	+	0.983065i	$0.441335\pi$
$468$	0.897267			0.0414762
$469$	42.1268	+	30.6069i	1.94524	+	1.41330i
$470$	10.3454	+	2.16018i	0.477199	+	0.0996417i
$471$	30.0453	−	21.8292i	1.38441	−	1.00584i
$472$	−0.171335	+	0.124482i	−0.00788634	+	0.00572976i
$473$	−0.674926	−	2.07721i	−0.0310331	−	0.0955101i
$474$	−11.9415			−0.548490
$475$	4.88314	−	1.07467i	0.224054	−	0.0493091i
$476$	−2.74738			−0.125926
$477$	0.492128	+	1.51462i	0.0225330	+	0.0693495i
$478$	17.1679	−	12.4732i	0.785241	−	0.570511i
$479$	−34.9944	+	25.4249i	−1.59893	+	1.16169i	−0.709421	+	0.704785i	$0.751044\pi$
$479$	−34.9944	+	25.4249i	−1.59893	+	1.16169i	−0.889513	+	0.456909i	$0.848956\pi$
$480$	1.80314	−	3.14920i	0.0823017	−	0.143741i
$481$	3.50825	+	2.54889i	0.159963	+	0.116220i
$482$	17.2963			0.787827
$483$	6.06014	+	4.40295i	0.275746	+	0.200341i
$484$	−2.98959	+	9.20102i	−0.135891	+	0.418228i
$485$	0.563377	−	0.983943i	0.0255816	−	0.0446786i
$486$	1.16930	+	3.59873i	0.0530405	+	0.163242i
$487$	−1.71258	+	5.27078i	−0.0776044	+	0.238842i	−0.982331	−	0.187150i	$-0.940075\pi$
$487$	−1.71258	+	5.27078i	−0.0776044	+	0.238842i	0.904727	+	0.425992i	$0.140075\pi$
$488$	−0.0373426	+	0.114929i	−0.00169042	+	0.00520258i
$489$	12.2873	+	37.8164i	0.555650	+	1.71011i
$490$	−13.8087	−	15.2258i	−0.623813	−	0.687830i
$491$	−6.05519	+	18.6360i	−0.273267	+	0.841029i	0.716406	+	0.697684i	$0.245786\pi$
$491$	−6.05519	+	18.6360i	−0.273267	+	0.841029i	−0.989673	+	0.143345i	$0.954214\pi$
$492$	−5.48827	−	3.98746i	−0.247430	−	0.179769i
$493$	−1.25580			−0.0565586
$494$	−1.98202	−	1.44002i	−0.0891752	−	0.0647895i
$495$	0.859955	−	0.386584i	0.0386521	−	0.0173757i
$496$	3.11572	−	2.26370i	0.139900	−	0.101643i
$497$	45.7402	−	33.2322i	2.05173	−	1.49067i
$498$	0.381750	+	1.17491i	0.0171066	+	0.0526488i
$499$	4.86595			0.217830			0.108915	−	0.994051i	$-0.465262\pi$
$499$	4.86595			0.217830			0.108915	+	0.994051i	$0.465262\pi$
$500$	−3.56929	−	10.5953i	−0.159624	−	0.473836i
$501$	33.4097			1.49264
$502$	−0.451122	−	1.38841i	−0.0201346	−	0.0619678i
$503$	−19.1713	+	13.9287i	−0.854805	+	0.621052i	−0.926467	−	0.376377i	$-0.877170\pi$
$503$	−19.1713	+	13.9287i	−0.854805	+	0.621052i	0.0716618	+	0.997429i	$0.477170\pi$
$504$	−1.19230	+	0.866257i	−0.0531093	+	0.0385862i
$505$	1.76409	−	0.793027i	0.0785009	−	0.0352892i
$506$	−1.06838	−	0.776223i	−0.0474953	−	0.0345073i
$507$	−11.3569			−0.504376
$508$	15.5386	+	11.2894i	0.689413	+	0.500888i
$509$	−6.85926	+	21.1106i	−0.304032	+	0.935713i	0.676005	+	0.736897i	$0.263710\pi$
$509$	−6.85926	+	21.1106i	−0.304032	+	0.935713i	−0.980037	+	0.198816i	$0.936290\pi$
$510$	−1.66446	−	1.83527i	−0.0737034	−	0.0812670i
$511$	−17.4109	−	53.5852i	−0.770212	−	2.37047i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	1.68817	−	5.19565i	0.0745345	−	0.229393i
$514$	4.85217	+	14.9334i	0.214020	+	0.658686i
$515$	3.19365	−	5.57775i	0.140729	−	0.245785i
$516$	−0.951387	+	2.92807i	−0.0418825	+	0.128901i
$517$	−4.40225	−	3.19842i	−0.193611	−	0.140667i
$518$	−7.12262			−0.312950
$519$	−33.7364	−	24.5109i	−1.48086	−	1.07591i
$520$	−2.72202	+	4.75403i	−0.119369	+	0.208478i
$521$	−23.6888	+	17.2109i	−1.03782	+	0.754023i	−0.969860	−	0.243664i	$-0.921650\pi$
$521$	−23.6888	+	17.2109i	−1.03782	+	0.754023i	−0.0679646	+	0.997688i	$0.521650\pi$
$522$	−0.544990	+	0.395959i	−0.0238536	+	0.0173306i
$523$	−10.7074	−	32.9541i	−0.468203	−	1.44098i	−0.854909	−	0.518778i	$-0.826387\pi$
$523$	−10.7074	−	32.9541i	−0.468203	−	1.44098i	0.386706	−	0.922203i	$-0.373613\pi$
$524$	9.12695			0.398712
$525$	3.17972	−	32.4971i	0.138774	−	1.41829i
$526$	−4.77184			−0.208062
$527$	−0.812541	−	2.50074i	−0.0353949	−	0.108934i
$528$	−1.51158	+	1.09823i	−0.0657832	+	0.0477943i
$529$	17.5430	−	12.7457i	0.762737	−	0.554161i
$530$	−9.51792	−	1.98739i	−0.413432	−	0.0863268i
$531$	0.0627507	+	0.0455911i	0.00272315	+	0.00197848i
$532$	4.02398			0.174462
$533$	8.28510	+	6.01948i	0.358867	+	0.260732i
$534$	−1.52558	+	4.69525i	−0.0660183	+	0.203183i
$535$	23.9827	−	10.7812i	1.03686	−	0.466112i
$536$	3.99878	+	12.3070i	0.172721	+	0.531581i
$537$	7.66643	−	23.5949i	0.330831	−	1.01819i
$538$	1.39565	−	4.29537i	0.0601708	−	0.185187i
$539$	3.27039	+	10.0652i	0.140866	+	0.433540i
$540$	−11.9578	−	2.49685i	−0.514582	−	0.107447i
$541$	2.23565	−	6.88061i	0.0961179	−	0.295821i	−0.891426	−	0.453167i	$-0.850294\pi$
$541$	2.23565	−	6.88061i	0.0961179	−	0.295821i	0.987543	+	0.157347i	$0.0502940\pi$
$542$	0.701023	+	0.509323i	0.0301115	+	0.0218773i
$543$	24.8249			1.06534
$544$	−0.552358	−	0.401311i	−0.0236821	−	0.0172061i
$545$	−0.310861	−	2.85883i	−0.0133158	−	0.122459i
$546$	−12.9435	+	9.40399i	−0.553930	+	0.402454i
$547$	−12.8829	+	9.35995i	−0.550831	+	0.400202i	−0.828092	−	0.560592i	$-0.810573\pi$
$547$	−12.8829	+	9.35995i	−0.550831	+	0.400202i	0.277261	+	0.960795i	$0.410573\pi$
$548$	0.344075	+	1.05895i	0.0146982	+	0.0452363i
$549$	0.0442583			0.00188890
$550$	−0.560573	+	5.72912i	−0.0239029	+	0.244290i
$551$	1.83933			0.0783580
$552$	0.575243	+	1.77042i	0.0244840	+	0.0753539i
$553$	−23.9543	+	17.4038i	−1.01864	+	0.740086i
$554$	8.19986	−	5.95755i	0.348379	−	0.253112i
$555$	−4.31512	−	4.75795i	−0.183167	−	0.201964i
$556$	7.28317	+	5.29153i	0.308875	+	0.224411i
$557$	−4.89655			−0.207473			−0.103737	−	0.994605i	$-0.533080\pi$
$557$	−4.89655			−0.207473			−0.103737	+	0.994605i	$0.533080\pi$
$558$	−1.14112	−	0.829069i	−0.0483073	−	0.0350973i
$559$	1.43621	−	4.42021i	0.0607454	−	0.186955i
$560$	−0.972673	−	8.94517i	−0.0411029	−	0.378002i
$561$	0.394203	+	1.21323i	0.0166432	+	0.0512227i
$562$	−1.48588	+	4.57306i	−0.0626780	+	0.192903i
$563$	−4.21565	+	12.9744i	−0.177669	+	0.546808i	−0.999745	−	0.0225691i	$-0.992815\pi$
$563$	−4.21565	+	12.9744i	−0.177669	+	0.546808i	0.822077	+	0.569377i	$0.192815\pi$
$564$	2.37029	+	7.29499i	0.0998071	+	0.307175i
$565$	2.18810	+	20.1228i	0.0920539	+	0.846572i
$566$	7.85094	−	24.1627i	0.330000	−	1.01563i
$567$	−25.2857	−	18.3711i	−1.06190	−	0.771514i
$568$	14.0503			0.589536
$569$	−11.1488	−	8.10006i	−0.467381	−	0.339572i	0.329039	−	0.944316i	$-0.393275\pi$
$569$	−11.1488	−	8.10006i	−0.467381	−	0.339572i	−0.796420	+	0.604744i	$0.793275\pi$
$570$	2.43787	+	2.68804i	0.102111	+	0.112590i
$571$	−16.8376	+	12.2332i	−0.704632	+	0.511945i	−0.881438	−	0.472301i	$-0.843424\pi$
$571$	−16.8376	+	12.2332i	−0.704632	+	0.511945i	0.176805	+	0.984246i	$0.443424\pi$
$572$	2.28189	−	1.65789i	0.0954105	−	0.0693198i
$573$	−5.39245	−	16.5963i	−0.225273	−	0.693319i
$574$	−16.8208			−0.702086
$575$	5.25602	+	2.29503i	0.219191	+	0.0957095i
$576$	−0.366245			−0.0152602
$577$	−12.5592	−	38.6534i	−0.522848	−	1.60916i	−0.768532	−	0.639812i	$-0.779012\pi$
$577$	−12.5592	−	38.6534i	−0.522848	−	1.60916i	0.245683	−	0.969350i	$-0.420988\pi$
$578$	13.3762	−	9.71835i	0.556375	−	0.404230i
$579$	−15.0381	+	10.9258i	−0.624962	+	0.454062i
$580$	−0.444600	−	4.08876i	−0.0184610	−	0.169776i
$581$	2.47812	+	1.80046i	0.102810	+	0.0746957i
$582$	0.822896			0.0341102
$583$	4.05012	+	2.94259i	0.167739	+	0.121870i
$584$	4.32678	−	13.3164i	0.179043	−	0.551039i
$585$	1.96399	+	0.410092i	0.0812011	+	0.0169552i
$586$	−5.09073	−	15.6677i	−0.210296	−	0.647225i
$587$	7.01427	−	21.5877i	0.289510	−	0.891019i	−0.695501	−	0.718525i	$-0.744817\pi$
$587$	7.01427	−	21.5877i	0.289510	−	0.891019i	0.985011	−	0.172494i	$-0.0551825\pi$
$588$	4.61000	−	14.1881i	0.190113	−	0.585108i
$589$	1.19010	+	3.66274i	0.0490371	+	0.150921i
$590$	−0.431923	+	0.194166i	−0.0177820	+	0.00799371i
$591$	4.80204	−	14.7792i	0.197530	−	0.607933i
$592$	−1.43199	−	1.04040i	−0.0588546	−	0.0427604i
$593$	13.3154			0.546798			0.273399	−	0.961901i	$-0.411852\pi$
$593$	13.3154			0.546798			0.273399	+	0.961901i	$0.411852\pi$
$594$	5.08836	+	3.69691i	0.208778	+	0.151686i
$595$	−6.01363	−	1.25568i	−0.246535	−	0.0514778i
$596$	−13.6143	+	9.89134i	−0.557662	+	0.405165i
$597$	15.2492	−	11.0792i	0.624110	−	0.453442i
$598$	−0.868387	−	2.67262i	−0.0355110	−	0.109292i
$599$	28.7492			1.17466			0.587331	−	0.809347i	$-0.300179\pi$
$599$	28.7492			1.17466			0.587331	+	0.809347i	$0.300179\pi$
$600$	5.38615	−	6.06904i	0.219889	−	0.247768i
$601$	−20.5137			−0.836772			−0.418386	−	0.908269i	$-0.637404\pi$
$601$	−20.5137			−0.836772			−0.418386	+	0.908269i	$0.637404\pi$
$602$	2.35899	+	7.26021i	0.0961451	+	0.295904i
$603$	3.83420	−	2.78571i	0.156141	−	0.113443i
$604$	−12.8048	+	9.30320i	−0.521018	+	0.378542i
$605$	−10.7491	+	18.7734i	−0.437012	+	0.763246i
$606$	1.13566	+	0.825105i	0.0461330	+	0.0335176i
$607$	30.1710			1.22460			0.612302	−	0.790624i	$-0.290244\pi$
$607$	30.1710			1.22460			0.612302	+	0.790624i	$0.290244\pi$
$608$	0.809017	+	0.587785i	0.0328100	+	0.0238378i
$609$	3.71180	−	11.4238i	0.150410	−	0.462914i
$610$	−0.134265	+	0.234496i	−0.00543625	+	0.00949446i
$611$	−3.57819	−	11.0125i	−0.144758	−	0.445519i
$612$	−0.0772711	+	0.237816i	−0.00312350	+	0.00961315i
$613$	0.820123	−	2.52408i	0.0331244	−	0.101947i	−0.933127	−	0.359546i	$-0.882932\pi$
$613$	0.820123	−	2.52408i	0.0331244	−	0.101947i	0.966252	+	0.257600i	$0.0829315\pi$
$614$	9.55502	+	29.4073i	0.385609	+	1.18678i
$615$	−10.1906	−	11.2364i	−0.410925	−	0.453095i
$616$	−1.43161	+	4.40605i	−0.0576813	+	0.177525i
$617$	−36.2769	−	26.3567i	−1.46045	−	1.06108i	−0.983245	−	0.182290i	$-0.941649\pi$
$617$	−36.2769	−	26.3567i	−1.46045	−	1.06108i	−0.477208	−	0.878791i	$-0.658351\pi$
$618$	4.66481			0.187646
$619$	23.7394	+	17.2477i	0.954169	+	0.693244i	0.951789	−	0.306753i	$-0.0992426\pi$
$619$	23.7394	+	17.2477i	0.954169	+	0.693244i	0.00237943	+	0.999997i	$0.499243\pi$
$620$	7.85448	−	3.53090i	0.315444	−	0.141804i
$621$	5.06959	−	3.68327i	0.203435	−	0.147805i
$622$	−8.39387	+	6.09850i	−0.336563	+	0.244528i
$623$	3.78271	+	11.6420i	0.151551	+	0.466427i
$624$	−3.97592			−0.159164
$625$	−2.97016	−	24.8229i	−0.118806	−	0.992917i
$626$	6.16765			0.246509
$627$	−0.577373	−	1.77697i	−0.0230581	−	0.0709654i
$628$	18.5135	−	13.4508i	0.738769	−	0.536747i
$629$	−0.977696	+	0.710338i	−0.0389833	+	0.0283230i
$630$	−3.00570	+	1.35118i	−0.119750	+	0.0538323i
$631$	9.27548	+	6.73903i	0.369251	+	0.268277i	0.756900	−	0.653530i	$-0.226713\pi$
$631$	9.27548	+	6.73903i	0.369251	+	0.268277i	−0.387649	+	0.921807i	$0.626713\pi$
$632$	−7.35818			−0.292693
$633$	22.9183	+	16.6511i	0.910922	+	0.661824i
$634$	−1.98256	+	6.10168i	−0.0787373	+	0.242329i
$635$	28.8520	+	31.8128i	1.14496	+	1.26245i
$636$	−2.18069	−	6.71148i	−0.0864700	−	0.266127i
$637$	−6.95925	+	21.4184i	−0.275736	+	0.848627i
$638$	−0.654377	+	2.01397i	−0.0259070	+	0.0797336i
$639$	−1.59015	−	4.89399i	−0.0629055	−	0.193603i
$640$	1.11107	−	1.94050i	0.0439189	−	0.0767048i
$641$	5.34234	−	16.4420i	0.211010	−	0.649421i	−0.788403	−	0.615159i	$-0.789092\pi$
$641$	5.34234	−	16.4420i	0.211010	−	0.649421i	0.999413	−	0.0342622i	$-0.0109081\pi$
$642$	15.4393	+	11.2173i	0.609340	+	0.442711i
$643$	−44.5232			−1.75582			−0.877912	−	0.478822i	$-0.841064\pi$
$643$	−44.5232			−1.75582			−0.877912	+	0.478822i	$0.841064\pi$
$644$	3.73418	+	2.71304i	0.147147	+	0.106909i
$645$	−3.42071	+	5.97430i	−0.134690	+	0.235238i
$646$	0.552358	−	0.401311i	0.0217322	−	0.0157894i
$647$	19.9469	−	14.4922i	0.784192	−	0.569749i	−0.122042	−	0.992525i	$-0.538944\pi$
$647$	19.9469	−	14.4922i	0.784192	−	0.569749i	0.906234	+	0.422776i	$0.138944\pi$
$648$	−2.40017	−	7.38698i	−0.0942878	−	0.290188i
$649$	0.243824			0.00957091
$650$	−8.13093	+	9.16183i	−0.318921	+	0.359356i
$651$	25.1503			0.985720
$652$	7.57126	+	23.3019i	0.296513	+	0.912574i
$653$	−12.3470	+	8.97064i	−0.483176	+	0.351048i	−0.802554	−	0.596579i	$-0.796526\pi$
$653$	−12.3470	+	8.97064i	−0.483176	+	0.351048i	0.319378	+	0.947628i	$0.396526\pi$
$654$	1.68850	−	1.22677i	0.0660256	−	0.0479704i
$655$	19.9776	+	4.17143i	0.780590	+	0.162991i
$656$	−3.38180	−	2.45702i	−0.132037	−	0.0959306i
$657$	−5.12807			−0.200065
$658$	15.3867	+	11.1791i	0.599835	+	0.435805i
$659$	−6.33679	+	19.5026i	−0.246846	+	0.759714i	0.748481	+	0.663156i	$0.230783\pi$
$659$	−6.33679	+	19.5026i	−0.246846	+	0.759714i	−0.995327	+	0.0965584i	$0.969217\pi$
$660$	−3.81058	+	1.71301i	−0.148327	+	0.0666788i
$661$	−9.81887	−	30.2194i	−0.381910	−	1.17540i	−0.938697	−	0.344742i	$-0.887966\pi$
$661$	−9.81887	−	30.2194i	−0.381910	−	1.17540i	0.556788	−	0.830655i	$-0.312034\pi$
$662$	−1.17229	+	3.60795i	−0.0455625	+	0.140227i
$663$	−0.838847	+	2.58170i	−0.0325781	+	0.100265i
$664$	0.235229	+	0.723962i	0.00912867	+	0.0280952i
$665$	8.80794	+	1.83914i	0.341557	+	0.0713189i
$666$	−0.200326	+	0.616541i	−0.00776249	+	0.0238905i
$667$	1.70686	+	1.24011i	0.0660899	+	0.0480171i
$668$	20.5866			0.796521
$669$	−22.4403	−	16.3038i	−0.867590	−	0.630341i
$670$	3.12792	+	28.7659i	0.120842	+	1.11132i
$671$	0.112556	−	0.0817764i	0.00434516	−	0.00315694i
$672$	5.28325	−	3.83851i	0.203806	−	0.148074i
$673$	6.86199	+	21.1190i	0.264510	+	0.814079i	0.991806	+	0.127755i	$0.0407770\pi$
$673$	6.86199	+	21.1190i	0.264510	+	0.814079i	−0.727295	+	0.686325i	$0.759223\pi$
$674$	−9.45961			−0.364371
$675$	−25.0328	−	10.9305i	−0.963513	−	0.420716i
$676$	−6.99795			−0.269152
$677$	−13.5513	−	41.7066i	−0.520819	−	1.60292i	−0.772438	−	0.635090i	$-0.780963\pi$
$677$	−13.5513	−	41.7066i	−0.520819	−	1.60292i	0.251619	−	0.967826i	$-0.419037\pi$
$678$	−11.8850	+	8.63499i	−0.456442	+	0.331625i
$679$	1.65071	−	1.19931i	0.0633485	−	0.0460254i
$680$	−1.02562	−	1.13087i	−0.0393306	−	0.0433668i
$681$	−28.5938	−	20.7746i	−1.09572	−	0.796085i
$682$	−4.43391			−0.169783
$683$	−17.5413	−	12.7445i	−0.671200	−	0.487655i	0.199227	−	0.979953i	$-0.436157\pi$
$683$	−17.5413	−	12.7445i	−0.671200	−	0.487655i	−0.870427	+	0.492298i	$0.836157\pi$
$684$	0.113176	−	0.348320i	0.00432739	−	0.0133183i
$685$	0.269142	+	2.47516i	0.0102834	+	0.0945711i
$686$	−2.72625	−	8.39052i	−0.104089	−	0.320352i
$687$	4.77889	−	14.7079i	0.182326	−	0.561142i
$688$	−0.586232	+	1.80424i	−0.0223499	+	0.0687858i
$689$	3.29197	+	10.1316i	0.125414	+	0.385985i
$690$	0.449966	+	4.13811i	0.0171299	+	0.157535i
$691$	−7.96616	+	24.5173i	−0.303047	+	0.932683i	0.677352	+	0.735659i	$0.263128\pi$
$691$	−7.96616	+	24.5173i	−0.303047	+	0.932683i	−0.980399	+	0.197024i	$0.936872\pi$
$692$	−20.7879	−	15.1033i	−0.790238	−	0.574142i
$693$	1.69674			0.0644537
$694$	0.729093	+	0.529717i	0.0276760	+	0.0201078i
$695$	13.5234	+	14.9112i	0.512971	+	0.565613i
$696$	2.41493	−	1.75455i	0.0915376	−	0.0665060i
$697$	−2.30893	+	1.67754i	−0.0874570	+	0.0635412i
$698$	−2.65227	−	8.16283i	−0.100390	−	0.308968i
$699$	17.5620			0.664257
$700$	1.95930	−	20.0243i	0.0740547	−	0.756847i
$701$	−44.6550			−1.68660			−0.843299	−	0.537445i	$-0.819389\pi$
$701$	−44.6550			−1.68660			−0.843299	+	0.537445i	$0.819389\pi$
$702$	4.13586	+	12.7289i	0.156098	+	0.480420i
$703$	1.43199	−	1.04040i	0.0540087	−	0.0392396i
$704$	−0.931417	+	0.676714i	−0.0351041	+	0.0255046i
$705$	1.85408	+	17.0510i	0.0698288	+	0.642180i
$706$	10.0651	+	7.31274i	0.378806	+	0.275219i
$707$	3.48064			0.130903
$708$	−0.278057	−	0.202021i	−0.0104500	−	0.00759240i
$709$	−2.49814	+	7.68848i	−0.0938196	+	0.288747i	−0.986944	−	0.161062i	$-0.948508\pi$
$709$	−2.49814	+	7.68848i	−0.0938196	+	0.288747i	0.893125	+	0.449809i	$0.148508\pi$
$710$	30.7541	+	6.42161i	1.15418	+	0.240999i
$711$	0.832769	+	2.56300i	0.0312313	+	0.0961200i
$712$	−0.940042	+	2.89315i	−0.0352296	+	0.108425i
$713$	−1.36510	+	4.20134i	−0.0511233	+	0.157341i
$714$	−1.37781	−	4.24046i	−0.0515632	−	0.158695i
$715$	5.75246	−	2.58596i	0.215130	−	0.0967094i
$716$	4.72395	−	14.5388i	0.176542	−	0.543342i
$717$	27.8615	+	20.2426i	1.04051	+	0.755973i
$718$	−4.96977			−0.185470
$719$	−9.08141	−	6.59803i	−0.338679	−	0.246065i	0.405425	−	0.914128i	$-0.367124\pi$
$719$	−9.08141	−	6.59803i	−0.338679	−	0.246065i	−0.744104	+	0.668063i	$0.767124\pi$
$720$	−0.801660	−	0.167391i	−0.0298761	−	0.00623828i
$721$	9.35750	−	6.79862i	0.348492	−	0.253194i
$722$	−0.809017	+	0.587785i	−0.0301085	+	0.0218751i
$723$	8.67409	+	26.6961i	0.322593	+	0.992839i
$724$	15.2968			0.568500
$725$	0.895580	−	9.15293i	0.0332610	−	0.339931i
$726$	−15.7006			−0.582705
$727$	2.01369	+	6.19749i	0.0746835	+	0.229852i	0.981429	−	0.191826i	$-0.0614411\pi$
$727$	2.01369	+	6.19749i	0.0746835	+	0.229852i	−0.906745	+	0.421679i	$0.861441\pi$
$728$	−7.97560	+	5.79461i	−0.295595	+	0.214763i
$729$	−23.8193	+	17.3057i	−0.882196	+	0.640953i
$730$	15.5569	−	27.1703i	0.575788	−	1.00562i
$731$	1.04787	+	0.761322i	0.0387569	+	0.0281585i
$732$	−0.196115			−0.00724861
$733$	−28.8877	−	20.9882i	−1.06699	−	0.775216i	−0.0916234	−	0.995794i	$-0.529206\pi$
$733$	−28.8877	−	20.9882i	−1.06699	−	0.775216i	−0.975369	+	0.220578i	$0.929206\pi$
$734$	4.78653	−	14.7314i	0.176674	−	0.543747i
$735$	16.5752	−	28.9488i	0.611387	−	1.06779i
$736$	0.354457	+	1.09091i	0.0130655	+	0.0402114i
$737$	4.60378	−	14.1690i	0.169582	−	0.521921i
$738$	−0.473091	+	1.45602i	−0.0174147	+	0.0535970i
$739$	−6.07410	−	18.6942i	−0.223440	−	0.687676i	−0.998446	−	0.0557231i	$-0.982254\pi$
$739$	−6.07410	−	18.6942i	−0.223440	−	0.687676i	0.775007	−	0.631953i	$-0.217746\pi$
$740$	−2.65892	−	2.93179i	−0.0977439	−	0.107775i
$741$	1.22863	−	3.78132i	0.0451347	−	0.138910i
$742$	−14.1559	−	10.2849i	−0.519680	−	0.377570i
$743$	7.03959			0.258257			0.129129	−	0.991628i	$-0.458782\pi$
$743$	7.03959			0.258257			0.129129	+	0.991628i	$0.458782\pi$
$744$	5.05645	+	3.67372i	0.185378	+	0.134685i
$745$	−34.3205	+	15.4284i	−1.25741	+	0.565254i
$746$	−10.2639	+	7.45719i	−0.375789	+	0.273027i
$747$	0.225548	−	0.163870i	0.00825237	−	0.00599570i
$748$	0.242902	+	0.747577i	0.00888139	+	0.0273341i
$749$	47.3192			1.72901
$750$	14.5634	−	10.8226i	0.531779	−	0.395184i
$751$	14.7566			0.538477			0.269239	−	0.963074i	$-0.413228\pi$
$751$	14.7566			0.538477			0.269239	+	0.963074i	$0.413228\pi$
$752$	1.46054	+	4.49508i	0.0532604	+	0.163919i
$753$	1.91671	−	1.39257i	0.0698489	−	0.0507482i
$754$	−3.64558	+	2.64867i	−0.132764	+	0.0964588i
$755$	−32.2798	+	14.5111i	−1.17478	+	0.528111i
$756$	−17.7847	−	12.9214i	−0.646824	−	0.469945i
$757$	−19.1752			−0.696934			−0.348467	−	0.937321i	$-0.613298\pi$
$757$	−19.1752			−0.696934			−0.348467	+	0.937321i	$0.613298\pi$
$758$	3.14352	+	2.28390i	0.114178	+	0.0829551i
$759$	0.662275	−	2.03827i	0.0240390	−	0.0739846i
$760$	1.50218	+	1.65634i	0.0544898	+	0.0600817i
$761$	−4.52077	−	13.9135i	−0.163878	−	0.504364i	0.835074	−	0.550138i	$-0.185425\pi$
$761$	−4.52077	−	13.9135i	−0.163878	−	0.504364i	−0.998952	+	0.0457733i	$0.985425\pi$
$762$	−9.63216	+	29.6447i	−0.348936	+	1.07392i
$763$	1.59917	−	4.92174i	0.0578938	−	0.178179i
$764$	−3.32276	−	10.2264i	−0.120213	−	0.369978i
$765$	−0.277828	+	0.485230i	−0.0100449	+	0.0175435i
$766$	−11.4661	+	35.2890i	−0.414287	+	1.27504i
$767$	0.419756	+	0.304970i	0.0151565	+	0.0110118i
$768$	1.62288			0.0585608
$769$	−20.7524	−	15.0775i	−0.748351	−	0.543709i	0.146964	−	0.989142i	$-0.453050\pi$
$769$	−20.7524	−	15.0775i	−0.748351	−	0.543709i	−0.895315	+	0.445433i	$0.853050\pi$
$770$	−5.14736	+	8.98991i	−0.185498	+	0.323974i
$771$	−20.6157	+	14.9782i	−0.742458	+	0.539427i
$772$	−9.26628	+	6.73235i	−0.333501	+	0.242303i
$773$	13.4408	+	41.3665i	0.483431	+	1.48785i	0.834240	+	0.551402i	$0.185907\pi$
$773$	13.4408	+	41.3665i	0.483431	+	1.48785i	−0.350808	+	0.936447i	$0.614093\pi$
$774$	0.694799			0.0249740
$775$	18.8061	−	4.13879i	0.675537	−	0.148670i
$776$	0.507058			0.0182023
$777$	−3.57198	−	10.9934i	−0.128144	−	0.394387i
$778$	7.19441	−	5.22705i	0.257932	−	0.187399i
$779$	3.38180	−	2.45702i	0.121166	−	0.0880319i
$780$	−8.70273	−	1.81717i	−0.311608	−	0.0650653i
$781$	−13.0867	−	9.50802i	−0.468278	−	0.340224i
$782$	0.783149			0.0280053
$783$	−8.12924	−	5.90624i	−0.290515	−	0.211072i
$784$	2.84062	−	8.74252i	0.101451	−	0.312233i
$785$	46.6711	−	20.9805i	1.66576	−	0.748827i
$786$	4.57715	+	14.0870i	0.163262	+	0.502468i
$787$	−16.9608	+	52.2000i	−0.604588	+	1.86073i	−0.104988	+	0.994474i	$0.533480\pi$
$787$	−16.9608	+	52.2000i	−0.604588	+	1.86073i	−0.499600	+	0.866256i	$0.666520\pi$
$788$	2.95895	−	9.10672i	0.105408	−	0.324414i
$789$	−2.39307	−	7.36512i	−0.0851956	−	0.262205i
$790$	−16.1060	−	3.36302i	−0.573027	−	0.119651i
$791$	−11.2563	+	34.6432i	−0.400226	+	1.23177i
$792$	0.341127	+	0.247843i	0.0121214	+	0.00880673i
$793$	0.296055			0.0105132
$794$	4.11311	+	2.98835i	0.145969	+	0.106053i
$795$	−1.70578	−	15.6872i	−0.0604977	−	0.556366i
$796$	9.39638	−	6.82687i	0.333046	−	0.241972i
$797$	33.5579	−	24.3812i	1.18868	−	0.863628i	0.195557	−	0.980692i	$-0.437348\pi$
$797$	33.5579	−	24.3812i	1.18868	−	0.863628i	0.993124	+	0.117065i	$0.0373485\pi$
$798$	2.01802	+	6.21084i	0.0714372	+	0.219861i
$799$	3.22696			0.114162
$800$	3.31887	−	3.73966i	0.117340	−	0.132217i
$801$	1.11413			0.0393659
$802$	0.433086	+	1.33290i	0.0152928	+	0.0470664i
$803$	−13.0415	+	9.47518i	−0.460223	+	0.334372i
$804$	−16.9899	+	12.3439i	−0.599187	+	0.435335i
$805$	6.93361	+	7.64515i	0.244378	+	0.269456i
$806$	−7.63322	−	5.54586i	−0.268869	−	0.195344i
$807$	7.32963			0.258015
$808$	0.699778	+	0.508419i	0.0246181	+	0.0178861i
$809$	8.05555	−	24.7924i	0.283218	−	0.871656i	−0.703709	−	0.710488i	$-0.748474\pi$
$809$	8.05555	−	24.7924i	0.283218	−	0.871656i	0.986927	−	0.161167i	$-0.0515259\pi$
$810$	−1.87746	−	17.2661i	−0.0659673	−	0.606667i
$811$	−15.3520	−	47.2486i	−0.539082	−	1.65912i	−0.734660	−	0.678436i	$-0.762658\pi$
$811$	−15.3520	−	47.2486i	−0.539082	−	1.65912i	0.195577	−	0.980688i	$-0.437342\pi$
$812$	2.28716	−	7.03917i	0.0802637	−	0.247026i
$813$	−0.434555	+	1.33742i	−0.0152405	+	0.0469054i
$814$	0.629727	+	1.93810i	0.0220719	+	0.0679304i
$815$	5.92238	+	54.4651i	0.207452	+	1.90783i
$816$	0.342399	−	1.05380i	0.0119864	−	0.0368903i
$817$	−1.53477	−	1.11508i	−0.0536950	−	0.0390117i
$818$	12.1934			0.426332
$819$	2.92103	+	2.12225i	0.102069	+	0.0741574i
$820$	−6.27932	−	6.92371i	−0.219283	−	0.241787i
$821$	−29.3378	+	21.3151i	−1.02390	+	0.743903i	−0.967078	−	0.254481i	$-0.918095\pi$
$821$	−29.3378	+	21.3151i	−1.02390	+	0.743903i	−0.0568174	+	0.998385i	$0.518095\pi$
$822$	−1.46190	+	1.06213i	−0.0509895	+	0.0370460i
$823$	−9.31825	−	28.6786i	−0.324814	−	0.999674i	−0.971525	−	0.236938i	$-0.923856\pi$
$823$	−9.31825	−	28.6786i	−0.324814	−	0.999674i	0.646711	−	0.762735i	$-0.276144\pi$
$824$	2.87439			0.100134
$825$	−9.12376	+	2.00793i	−0.317649	+	0.0699070i
$826$	−0.852207			−0.0296521
$827$	1.51700	+	4.66884i	0.0527512	+	0.162351i	0.973961	−	0.226714i	$-0.0727981\pi$
$827$	1.51700	+	4.66884i	0.0527512	+	0.162351i	−0.921210	+	0.389065i	$0.872798\pi$
$828$	0.339869	−	0.246929i	0.0118113	−	0.00858138i
$829$	−39.4085	+	28.6320i	−1.36872	+	0.994430i	−0.370879	+	0.928681i	$0.620943\pi$
$829$	−39.4085	+	28.6320i	−1.36872	+	0.994430i	−0.997836	+	0.0657484i	$0.979057\pi$
$830$	0.184001	+	1.69216i	0.00638677	+	0.0587358i
$831$	13.3074	+	9.66841i	0.461630	+	0.335394i
$832$	−2.44991			−0.0849353
$833$	−5.07751	−	3.68903i	−0.175925	−	0.127817i
$834$	−4.51474	+	13.8949i	−0.156333	+	0.481143i
$835$	45.0613	+	9.40902i	1.55941	+	0.325613i
$836$	−0.355770	−	1.09495i	−0.0123046	−	0.0378695i
$837$	6.50154	−	20.0097i	0.224726	−	0.691635i
$838$	9.23792	−	28.4314i	0.319119	−	0.982147i
$839$	−0.817461	−	2.51589i	−0.0282219	−	0.0868580i	0.935953	−	0.352124i	$-0.114540\pi$
$839$	−0.817461	−	2.51589i	−0.0282219	−	0.0868580i	−0.964175	+	0.265266i	$0.914540\pi$
$840$	13.3187	−	5.98727i	0.459538	−	0.206580i
$841$	−7.91605	+	24.3631i	−0.272967	+	0.840107i
$842$	14.4558	+	10.5027i	0.498179	+	0.361948i
$843$	−7.80348			−0.268766
$844$	14.1220	+	10.2602i	0.486098	+	0.353171i
$845$	−15.3175	−	3.19838i	−0.526939	−	0.110028i
$846$	1.40043	−	1.01747i	0.0481477	−	0.0349813i
$847$	−31.4951	+	22.8825i	−1.08218	+	0.786253i
$848$	−1.34371	−	4.13552i	−0.0461433	−	0.142014i
$849$	41.2313			1.41505
$850$	−1.72807	−	2.94406i	−0.0592724	−	0.100981i
$851$	2.03032			0.0695985
$852$	7.04620	+	21.6860i	0.241399	+	0.742949i
$853$	−29.9247	+	21.7416i	−1.02460	+	0.744418i	−0.967221	−	0.253935i	$-0.918275\pi$
$853$	−29.9247	+	21.7416i	−1.02460	+	0.744418i	−0.0573817	+	0.998352i	$0.518275\pi$
$854$	−0.393402	+	0.285823i	−0.0134619	+	0.00978067i
$855$	0.406925	−	0.710697i	0.0139165	−	0.0243053i
$856$	9.51348	+	6.91195i	0.325164	+	0.236245i
$857$	13.3666			0.456593			0.228297	−	0.973592i	$-0.426684\pi$
$857$	13.3666			0.456593			0.228297	+	0.973592i	$0.426684\pi$
$858$	3.70324	+	2.69056i	0.126426	+	0.0918542i
$859$	−10.3466	+	31.8434i	−0.353020	+	1.08648i	0.604129	+	0.796887i	$0.293521\pi$
$859$	−10.3466	+	31.8434i	−0.353020	+	1.08648i	−0.957149	+	0.289597i	$0.906479\pi$
$860$	−2.10780	+	3.68129i	−0.0718753	+	0.125531i
$861$	−8.43561	−	25.9621i	−0.287485	−	0.884787i
$862$	10.6855	−	32.8866i	0.363950	−	1.12012i
$863$	−2.54682	+	7.83831i	−0.0866948	+	0.266819i	−0.985000	−	0.172552i	$-0.944799\pi$
$863$	−2.54682	+	7.83831i	−0.0866948	+	0.266819i	0.898306	+	0.439371i	$0.144799\pi$
$864$	−1.68817	−	5.19565i	−0.0574327	−	0.176760i
$865$	−38.5990	−	42.5601i	−1.31240	−	1.44709i
$866$	−1.74686	+	5.37629i	−0.0593608	+	0.182694i
$867$	21.7080	+	15.7718i	0.737241	+	0.535637i
$868$	15.4973			0.526013
$869$	6.85353	+	4.97938i	0.232490	+	0.168914i
$870$	6.08785	−	2.73673i	0.206397	−	0.0927838i
$871$	25.6479	−	18.6343i	0.869047	−	0.631400i
$872$	1.04043	−	0.755918i	0.0352335	−	0.0255986i
$873$	−0.0573868	−	0.176618i	−0.00194225	−	0.00597763i
$874$	−1.14705			−0.0387995
$875$	13.4406	−	42.9349i	0.454377	−	1.45146i
$876$	22.7232			0.767746
$877$	−13.9304	−	42.8733i	−0.470395	−	1.44773i	−0.852069	−	0.523430i	$-0.824652\pi$
$877$	−13.9304	−	42.8733i	−0.470395	−	1.44773i	0.381674	−	0.924297i	$-0.375348\pi$
$878$	1.36032	−	0.988334i	0.0459087	−	0.0333546i
$879$	21.6293	−	15.7146i	0.729539	−	0.530041i
$880$	−2.34803	+	1.05553i	−0.0791521	+	0.0355820i
$881$	−29.1034	−	21.1449i	−0.980520	−	0.712389i	−0.0226950	−	0.999742i	$-0.507225\pi$
$881$	−29.1034	−	21.1449i	−0.980520	−	0.712389i	−0.957825	+	0.287353i	$0.907225\pi$
$882$	−3.36669			−0.113362
$883$	−40.9828	−	29.7758i	−1.37918	−	1.00203i	−0.996956	−	0.0779662i	$-0.975157\pi$
$883$	−40.9828	−	29.7758i	−1.37918	−	1.00203i	−0.382227	−	0.924069i	$-0.624843\pi$
$884$	−0.516886	+	1.59081i	−0.0173848	+	0.0535048i
$885$	−0.516296	−	0.569279i	−0.0173551	−	0.0191361i
$886$	3.21940	+	9.90831i	0.108158	+	0.332876i
$887$	−10.4885	+	32.2803i	−0.352169	+	1.08387i	0.605464	+	0.795873i	$0.292988\pi$
$887$	−10.4885	+	32.2803i	−0.352169	+	1.08387i	−0.957633	+	0.287992i	$0.907012\pi$
$888$	0.887674	−	2.73198i	0.0297884	−	0.0916792i
$889$	23.8832	+	73.5049i	0.801016	+	2.46527i
$890$	−3.37992	+	5.90306i	−0.113295	+	0.197871i
$891$	−2.76331	+	8.50459i	−0.0925743	+	0.284915i
$892$	−13.8274	−	10.0462i	−0.462975	−	0.336371i
$893$	−4.72640			−0.158163
$894$	−22.0944	−	16.0525i	−0.738946	−	0.536876i
$895$	16.9850	−	29.6644i	0.567745	−	0.991572i
$896$	3.25547	−	2.36524i	0.108758	−	0.0790170i
$897$	3.68958	−	2.68063i	0.123191	−	0.0895038i
$898$	1.73629	+	5.34377i	0.0579409	+	0.178324i
$899$	7.08368			0.236254
$900$	−1.67822	−	0.732790i	−0.0559405	−	0.0244263i
$901$	−2.96884			−0.0989064
$902$	1.48717	+	4.57702i	0.0495172	+	0.152398i
$903$	−10.0228	+	7.28198i	−0.333537	+	0.242329i
$904$	−7.32341	+	5.32077i	−0.243573	+	0.176966i
$905$	33.4825	+	6.99132i	1.11300	+	0.232399i
$906$	−20.7806	−	15.0980i	−0.690391	−	0.501598i
$907$	−16.0073			−0.531513			−0.265757	−	0.964040i	$-0.585622\pi$
$907$	−16.0073			−0.531513			−0.265757	+	0.964040i	$0.585622\pi$
$908$	−17.6191	−	12.8010i	−0.584711	−	0.424817i
$909$	0.0978943	−	0.301288i	0.00324695	−	0.00999308i
$910$	−20.1059	+	9.03839i	−0.666503	+	0.299620i
$911$	11.3621	+	34.9688i	0.376442	+	1.15857i	0.942501	+	0.334204i	$0.108468\pi$
$911$	11.3621	+	34.9688i	0.376442	+	1.15857i	−0.566059	+	0.824365i	$0.691532\pi$
$912$	−0.501499	+	1.54346i	−0.0166063	+	0.0511089i
$913$	0.270818	−	0.833493i	0.00896278	−	0.0275846i
$914$	11.3091	+	34.8058i	0.374072	+	1.15128i
$915$	−0.429268	−	0.0896333i	−0.0141912	−	0.00296319i
$916$	2.94469	−	9.06282i	0.0972953	−	0.299444i
$917$	29.7125	+	21.5874i	0.981193	+	0.712879i
$918$	−3.72989			−0.123105
$919$	−22.4316	−	16.2975i	−0.739950	−	0.537605i	0.152745	−	0.988266i	$-0.451189\pi$
$919$	−22.4316	−	16.2975i	−0.739950	−	0.537605i	−0.892695	+	0.450660i	$0.851189\pi$
$920$	0.277263	+	2.54985i	0.00914110	+	0.0840659i
$921$	−40.5970	+	29.4955i	−1.33772	+	0.971909i
$922$	−8.36040	+	6.07419i	−0.275335	+	0.200043i
$923$	−10.6369	−	32.7371i	−0.350119	−	1.07756i
$924$	−7.51849			−0.247340
$925$	−4.48005	−	7.63252i	−0.147303	−	0.250956i
$926$	6.55533			0.215421
$927$	−0.325312	−	1.00121i	−0.0106847	−	0.0328840i
$928$	1.48805	−	1.08113i	0.0488475	−	0.0354898i
$929$	−23.3119	+	16.9371i	−0.764837	+	0.555687i	−0.900390	−	0.435083i	$-0.856719\pi$
$929$	−23.3119	+	16.9371i	−0.764837	+	0.555687i	0.135553	+	0.990770i	$0.456719\pi$
$930$	9.38880	+	10.3523i	0.307871	+	0.339465i
$931$	7.43684	+	5.40318i	0.243732	+	0.177082i
$932$	10.8215			0.354470
$933$	−13.6223	−	9.89716i	−0.445973	−	0.324019i
$934$	−9.69754	+	29.8460i	−0.317313	+	0.976590i
$935$	0.190003	+	1.74736i	0.00621376	+	0.0571447i
$936$	0.277271	+	0.853352i	0.00906288	+	0.0278927i
$937$	−11.4855	+	35.3486i	−0.375213	+	1.15479i	0.568121	+	0.822945i	$0.307670\pi$
$937$	−11.4855	+	35.3486i	−0.375213	+	1.15479i	−0.943335	+	0.331843i	$0.892330\pi$
$938$	−16.0910	+	49.5231i	−0.525391	+	1.61699i
$939$	3.09307	+	9.51949i	0.100939	+	0.310657i
$940$	1.14246	+	10.5066i	0.0372630	+	0.342688i
$941$	−14.2050	+	43.7186i	−0.463070	+	1.42518i	0.398323	+	0.917245i	$0.369592\pi$
$941$	−14.2050	+	43.7186i	−0.463070	+	1.42518i	−0.861393	+	0.507939i	$0.830408\pi$
$942$	30.0453	+	21.8292i	0.978928	+	0.711233i
$943$	4.79481			0.156141
$944$	−0.171335	−	0.124482i	−0.00557649	−	0.00405156i
$945$	−33.0226	−	36.4115i	−1.07423	−	1.18447i
$946$	1.76698	−	1.28378i	0.0574494	−	0.0417394i
$947$	−45.0298	+	32.7160i	−1.46327	+	1.06313i	−0.480774	+	0.876844i	$0.659644\pi$
$947$	−45.0298	+	32.7160i	−1.46327	+	1.06313i	−0.982496	+	0.186284i	$0.940356\pi$
$948$	−3.69012	−	11.3570i	−0.119849	−	0.368859i
$949$	−34.3030			−1.11352
$950$	2.53104	+	4.31206i	0.0821179	+	0.139902i
$951$	−10.4119			−0.337630
$952$	−0.848988	−	2.61292i	−0.0275158	−	0.0846851i
$953$	−37.7313	+	27.4134i	−1.22224	+	0.888008i	−0.996284	−	0.0861303i	$-0.972550\pi$
$953$	−37.7313	+	27.4134i	−1.22224	+	0.888008i	−0.225954	+	0.974138i	$0.572550\pi$
$954$	−1.28841	+	0.936084i	−0.0417138	+	0.0303068i
$955$	−2.59912	−	23.9028i	−0.0841057	−	0.773476i
$956$	17.1679	+	12.4732i	0.555249	+	0.403412i
$957$	−3.43663			−0.111091
$958$	−34.9944	−	25.4249i	−1.13062	−	0.821442i
$959$	−1.38455	+	4.26121i	−0.0447095	+	0.137602i
$960$	3.55227	+	0.741732i	0.114649	+	0.0239393i
$961$	−4.99618	−	15.3767i	−0.161167	−	0.496021i
$962$	−1.34003	+	4.12420i	−0.0432044	+	0.132969i
$963$	1.33087	−	4.09600i	0.0428867	−	0.131992i
$964$	5.34486	+	16.4498i	0.172146	+	0.529812i
$965$	−23.3596	+	10.5011i	−0.751972	+	0.338041i
$966$	−2.31477	+	7.12412i	−0.0744764	+	0.229215i
$967$	20.1509	+	14.6405i	0.648010	+	0.470807i	0.862593	−	0.505899i	$-0.168839\pi$
$967$	20.1509	+	14.6405i	0.648010	+	0.470807i	−0.214583	+	0.976706i	$0.568839\pi$
$968$	−9.67452			−0.310951
$969$	0.896413	+	0.651282i	0.0287969	+	0.0209222i
$970$	1.10988	+	0.231748i	0.0356361	+	0.00744099i
$971$	−22.8074	+	16.5706i	−0.731925	+	0.531774i	−0.890172	−	0.455625i	$-0.849416\pi$
$971$	−22.8074	+	16.5706i	−0.731925	+	0.531774i	0.158247	+	0.987400i	$0.449416\pi$
$972$	−3.06126	+	2.22414i	−0.0981901	+	0.0713393i
$973$	11.1944	+	34.4529i	0.358876	+	1.10451i
$974$	−5.54203			−0.177578
$975$	−18.2185	−	7.95508i	−0.583460	−	0.254767i
$976$	−0.120843			−0.00386810
$977$	−5.13098	−	15.7915i	−0.164155	−	0.505216i	0.834818	−	0.550526i	$-0.185573\pi$
$977$	−5.13098	−	15.7915i	−0.164155	−	0.505216i	−0.998973	+	0.0453093i	$0.985573\pi$
$978$	−32.1685	+	23.3718i	−1.02864	+	0.747348i
$979$	2.83341	−	2.05859i	0.0905561	−	0.0657929i
$980$	10.2134	−	17.8379i	0.326257	−	0.569810i
$981$	−0.381053	−	0.276851i	−0.0121661	−	0.00883918i
$982$	−19.5950			−0.625302
$983$	−29.6156	−	21.5170i	−0.944590	−	0.686284i	0.00493151	−	0.999988i	$-0.498430\pi$
$983$	−29.6156	−	21.5170i	−0.944590	−	0.686284i	−0.949521	+	0.313703i	$0.898430\pi$
$984$	2.09633	−	6.45185i	0.0668287	−	0.205677i
$985$	10.6389	−	18.5810i	0.338984	−	0.592039i
$986$	−0.388065	−	1.19434i	−0.0123585	−	0.0380356i
$987$	−9.53799	+	29.3549i	−0.303598	+	0.934377i
$988$	0.757063	−	2.33000i	0.0240854	−	0.0741272i
$989$	−0.672436	−	2.06954i	−0.0213822	−	0.0658077i
$990$	0.633404	+	0.698405i	0.0201309	+	0.0221968i
$991$	−0.867771	+	2.67072i	−0.0275656	+	0.0848383i	−0.963893	−	0.266290i	$-0.914202\pi$
$991$	−0.867771	+	2.67072i	−0.0275656	+	0.0848383i	0.936327	+	0.351129i	$0.114202\pi$
$992$	3.11572	+	2.26370i	0.0989241	+	0.0718725i
$993$	−6.15661			−0.195374
$994$	45.7402	+	33.2322i	1.45079	+	1.05406i
$995$	23.6876	−	10.6485i	0.750946	−	0.337580i
$996$	−0.999435	+	0.726132i	−0.0316683	+	0.0230084i
$997$	−19.6256	+	14.2589i	−0.621550	+	0.451583i	−0.853463	−	0.521154i	$-0.825502\pi$
$997$	−19.6256	+	14.2589i	−0.621550	+	0.451583i	0.231912	+	0.972737i	$0.425502\pi$
$998$	1.50366	+	4.62780i	0.0475976	+	0.146490i
$999$	−9.66979			−0.305939

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.c.381.4	✓	44
25.21	even	5	inner	950.2.h.c.571.4	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.c.381.4	✓	44	1.1	even	1	trivial
950.2.h.c.571.4	yes	44	25.21	even	5	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.31294 + 0.953908i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.03947 + 0.916822i) q^{5} +(-1.31294 - 0.953908i) q^{6} -4.02398 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.113176 + 0.348320i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.31294 + 0.953908i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.03947 + 0.916822i) q^{5} +(-1.31294 - 0.953908i) q^{6} -4.02398 q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.113176 + 0.348320i) q^{9} +(-1.50218 - 1.65634i) q^{10} +(0.355770 + 1.09495i) q^{11} +(0.501499 - 1.54346i) q^{12} +(-0.757063 + 2.33000i) q^{13} +(-1.24348 - 3.82703i) q^{14} +(1.80314 - 3.14920i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.552358 - 0.401311i) q^{17} -0.366245 q^{18} +(0.809017 + 0.587785i) q^{19} +(1.11107 - 1.94050i) q^{20} +(5.28325 - 3.83851i) q^{21} +(-0.931417 + 0.676714i) q^{22} +(0.354457 + 1.09091i) q^{23} +1.62288 q^{24} +(3.31887 - 3.73966i) q^{25} -2.44991 q^{26} +(-1.68817 - 5.19565i) q^{27} +(3.25547 - 2.36524i) q^{28} +(1.48805 - 1.08113i) q^{29} +(3.55227 + 0.741732i) q^{30} +(3.11572 + 2.26370i) q^{31} +1.00000 q^{32} +(-1.51158 - 1.09823i) q^{33} +(0.210982 - 0.649336i) q^{34} +(8.20679 - 3.68928i) q^{35} +(-0.113176 - 0.348320i) q^{36} +(0.546973 - 1.68341i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-1.22863 - 3.78132i) q^{39} +(2.18886 + 0.457045i) q^{40} +(1.29173 - 3.97554i) q^{41} +(5.28325 + 3.83851i) q^{42} -1.89709 q^{43} +(-0.931417 - 0.676714i) q^{44} +(-0.0885285 - 0.814150i) q^{45} +(-0.927981 + 0.674218i) q^{46} +(-3.82374 + 2.77811i) q^{47} +(0.501499 + 1.54346i) q^{48} +9.19243 q^{49} +(4.58222 + 2.00082i) q^{50} +1.10803 q^{51} +(-0.757063 - 2.33000i) q^{52} +(3.51789 - 2.55589i) q^{53} +(4.41968 - 3.21109i) q^{54} +(-1.72945 - 1.90693i) q^{55} +(3.25547 + 2.36524i) q^{56} -1.62288 q^{57} +(1.48805 + 1.08113i) q^{58} +(0.0654442 - 0.201417i) q^{59} +(0.392282 + 3.60762i) q^{60} +(-0.0373426 - 0.114929i) q^{61} +(-1.19010 + 3.66274i) q^{62} +(0.455418 - 1.40163i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-0.592189 - 5.44606i) q^{65} +(0.577373 - 1.77697i) q^{66} +(-10.4689 - 7.60613i) q^{67} +0.682752 q^{68} +(-1.50601 - 1.09418i) q^{69} +(6.04475 + 6.66507i) q^{70} +(-11.3669 + 8.25854i) q^{71} +(0.296299 - 0.215274i) q^{72} +(4.32678 + 13.3164i) q^{73} +1.77004 q^{74} +(-0.790193 + 8.07586i) q^{75} -1.00000 q^{76} +(-1.43161 - 4.40605i) q^{77} +(3.21658 - 2.33699i) q^{78} +(5.95289 - 4.32503i) q^{79} +(0.241719 + 2.22296i) q^{80} +(6.28374 + 4.56540i) q^{81} +4.18013 q^{82} +(-0.615838 - 0.447433i) q^{83} +(-2.01802 + 6.21084i) q^{84} +(1.49445 + 0.312049i) q^{85} +(-0.586232 - 1.80424i) q^{86} +(-0.922421 + 2.83892i) q^{87} +(0.355770 - 1.09495i) q^{88} +(-0.940042 - 2.89315i) q^{89} +(0.746946 - 0.335782i) q^{90} +(3.04641 - 9.37588i) q^{91} +(-0.927981 - 0.674218i) q^{92} -6.25011 q^{93} +(-3.82374 - 2.77811i) q^{94} +(-2.18886 - 0.457045i) q^{95} +(-1.31294 + 0.953908i) q^{96} +(-0.410218 + 0.298041i) q^{97} +(2.84062 + 8.74252i) q^{98} -0.421656 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9}+O(q^{10}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9	\( 44 q - 11 q^{2} + q^{3} - 11 q^{4} - q^{5} + q^{6} + 18 q^{7} - 11 q^{8} - 8 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} + 2 q^{13} + 3 q^{14} - 4 q^{15} - 11 q^{16} + 11 q^{17} + 42 q^{18} + 11 q^{19} - 6 q^{20} + 3 q^{21} - 6 q^{22} - 3 q^{23} + 6 q^{24} - 11 q^{25} + 22 q^{26} - 23 q^{27} - 12 q^{28} + 36 q^{29} - 4 q^{30} + 11 q^{31} + 44 q^{32} + 2 q^{33} - 19 q^{34} + 67 q^{35} - 8 q^{36} + 3 q^{37} + 11 q^{38} + 47 q^{39} + 4 q^{40} + 2 q^{41} + 3 q^{42} + 70 q^{43} - 6 q^{44} - 28 q^{45} - 8 q^{46} - 11 q^{47} - 4 q^{48} + 22 q^{49} + 14 q^{50} + 38 q^{51} + 2 q^{52} - 9 q^{53} + 32 q^{54} + 8 q^{55} - 12 q^{56} - 6 q^{57} + 36 q^{58} - 62 q^{59} + 11 q^{60} - 28 q^{61} - 29 q^{62} + 10 q^{63} - 11 q^{64} - 39 q^{65} - 8 q^{66} + 25 q^{67} + 16 q^{68} - 81 q^{69} - 43 q^{70} - 34 q^{71} - 13 q^{72} + 6 q^{73} + 8 q^{74} - 39 q^{75} - 44 q^{76} - 21 q^{77} - 58 q^{78} + 19 q^{79} - q^{80} - 22 q^{81} + 2 q^{82} - 50 q^{83} - 7 q^{84} + 102 q^{85} - 10 q^{86} + 47 q^{87} - q^{88} - 4 q^{89} - 38 q^{90} - 8 q^{91} - 8 q^{92} + 60 q^{93} - 11 q^{94} - 4 q^{95} + q^{96} + 8 q^{97} + 7 q^{98} - 12 q^{99}+O(q^{100}) \) 44 * q - 11 * q^2 + q^3 - 11 * q^4 - q^5 + q^6 + 18 * q^7 - 11 * q^8 - 8 * q^9 + 4 * q^10 - q^11 - 4 * q^12 + 2 * q^13 + 3 * q^14 - 4 * q^15 - 11 * q^16 + 11 * q^17 + 42 * q^18 + 11 * q^19 - 6 * q^20 + 3 * q^21 - 6 * q^22 - 3 * q^23 + 6 * q^24 - 11 * q^25 + 22 * q^26 - 23 * q^27 - 12 * q^28 + 36 * q^29 - 4 * q^30 + 11 * q^31 + 44 * q^32 + 2 * q^33 - 19 * q^34 + 67 * q^35 - 8 * q^36 + 3 * q^37 + 11 * q^38 + 47 * q^39 + 4 * q^40 + 2 * q^41 + 3 * q^42 + 70 * q^43 - 6 * q^44 - 28 * q^45 - 8 * q^46 - 11 * q^47 - 4 * q^48 + 22 * q^49 + 14 * q^50 + 38 * q^51 + 2 * q^52 - 9 * q^53 + 32 * q^54 + 8 * q^55 - 12 * q^56 - 6 * q^57 + 36 * q^58 - 62 * q^59 + 11 * q^60 - 28 * q^61 - 29 * q^62 + 10 * q^63 - 11 * q^64 - 39 * q^65 - 8 * q^66 + 25 * q^67 + 16 * q^68 - 81 * q^69 - 43 * q^70 - 34 * q^71 - 13 * q^72 + 6 * q^73 + 8 * q^74 - 39 * q^75 - 44 * q^76 - 21 * q^77 - 58 * q^78 + 19 * q^79 - q^80 - 22 * q^81 + 2 * q^82 - 50 * q^83 - 7 * q^84 + 102 * q^85 - 10 * q^86 + 47 * q^87 - q^88 - 4 * q^89 - 38 * q^90 - 8 * q^91 - 8 * q^92 + 60 * q^93 - 11 * q^94 - 4 * q^95 + q^96 + 8 * q^97 + 7 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more