LMFDB - Embedded newform 418.2.j.d.111.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, degree $6$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			111.3
Character	$\chi$	$=$	418.111
Dual form			418.2.j.d.177.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(-0.317071 + 0.115404i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.456329 + 2.58797i) q^{5} +(-0.317071 - 0.115404i) q^{6} +(0.0977794 + 0.169359i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.21092 + 1.85518i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(-0.317071 + 0.115404i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.456329 + 2.58797i) q^{5} +(-0.317071 - 0.115404i) q^{6} +(0.0977794 + 0.169359i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.21092 + 1.85518i) q^{9} +(-2.01309 + 1.68918i) q^{10} +(0.500000 - 0.866025i) q^{11} +(-0.168710 - 0.292214i) q^{12} +(-2.79089 - 1.01580i) q^{13} +(-0.0339584 + 0.192588i) q^{14} +(-0.153975 - 0.873234i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(0.323405 + 0.271369i) q^{17} -2.88615 q^{18} +(1.78245 + 3.97780i) q^{19} -2.62790 q^{20} +(-0.0505478 - 0.0424146i) q^{21} +(0.939693 - 0.342020i) q^{22} +(-0.286966 - 1.62747i) q^{23} +(0.0585924 - 0.332294i) q^{24} +(-1.79090 - 0.651835i) q^{25} +(-1.48500 - 2.57210i) q^{26} +(0.993052 - 1.72002i) q^{27} +(-0.149807 + 0.125703i) q^{28} +(-2.12735 + 1.78506i) q^{29} +(0.443352 - 0.767909i) q^{30} +(3.97719 + 6.88870i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(-0.0585924 + 0.332294i) q^{33} +(0.0733099 + 0.415761i) q^{34} +(-0.482916 + 0.175767i) q^{35} +(-2.21092 - 1.85518i) q^{36} +9.69839 q^{37} +(-1.19145 + 4.19291i) q^{38} +1.00214 q^{39} +(-2.01309 - 1.68918i) q^{40} +(-5.95570 + 2.16770i) q^{41} +(-0.0114583 - 0.0649830i) q^{42} +(-0.0496301 + 0.281467i) q^{43} +(0.939693 + 0.342020i) q^{44} +(-3.79225 - 6.56837i) q^{45} +(0.826286 - 1.43117i) q^{46} +(1.52629 - 1.28071i) q^{47} +(0.258479 - 0.216889i) q^{48} +(3.48088 - 6.02906i) q^{49} +(-0.952919 - 1.65050i) q^{50} +(-0.133859 - 0.0487208i) q^{51} +(0.515736 - 2.92488i) q^{52} +(0.593217 + 3.36430i) q^{53} +(1.86633 - 0.679288i) q^{54} +(2.01309 + 1.68918i) q^{55} -0.195559 q^{56} +(-1.02422 - 1.05554i) q^{57} -2.77706 q^{58} +(10.8781 + 9.12779i) q^{59} +(0.833230 - 0.303271i) q^{60} +(-1.45851 - 8.27160i) q^{61} +(-1.38127 + 7.83354i) q^{62} +(-0.530374 - 0.193040i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.90243 - 6.75921i) q^{65} +(-0.258479 + 0.216889i) q^{66} +(5.15543 - 4.32592i) q^{67} +(-0.211087 + 0.365614i) q^{68} +(0.278805 + 0.482905i) q^{69} +(-0.482916 - 0.175767i) q^{70} +(0.300052 - 1.70168i) q^{71} +(-0.501174 - 2.84230i) q^{72} +(12.7302 - 4.63342i) q^{73} +(7.42940 + 6.23400i) q^{74} +0.643068 q^{75} +(-3.60785 + 2.44610i) q^{76} +0.195559 q^{77} +(0.767683 + 0.644163i) q^{78} +(-6.92356 + 2.51997i) q^{79} +(-0.456329 - 2.58797i) q^{80} +(1.38715 - 7.86693i) q^{81} +(-5.95570 - 2.16770i) q^{82} +(-3.51742 - 6.09235i) q^{83} +(0.0329927 - 0.0571451i) q^{84} +(-0.849874 + 0.713129i) q^{85} +(-0.218942 + 0.183714i) q^{86} +(0.468518 - 0.811498i) q^{87} +(0.500000 + 0.866025i) q^{88} +(-9.28940 - 3.38107i) q^{89} +(1.31703 - 7.46927i) q^{90} +(-0.100857 - 0.571987i) q^{91} +(1.55291 - 0.565213i) q^{92} +(-2.05604 - 1.72522i) q^{93} +1.99243 q^{94} +(-11.1078 + 2.79774i) q^{95} +0.337420 q^{96} +(7.68922 + 6.45202i) q^{97} +(6.54191 - 2.38106i) q^{98} +(0.501174 + 2.84230i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 15 q^{8}+O(q^{10}) $ 30 * q - 15 * q^8	$ 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) $ 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$1$

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 $

$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	−0.317071	+	0.115404i	−0.183061	+	0.0666288i	−0.431924	−	0.901910i	$-0.642165\pi$
$3$	−0.317071	+	0.115404i	−0.183061	+	0.0666288i	0.248863	+	0.968539i	$0.419943\pi$
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.456329	+	2.58797i	−0.204077	+	1.15738i	0.694809	+	0.719194i	$0.255489\pi$
$5$	−0.456329	+	2.58797i	−0.204077	+	1.15738i	−0.898886	+	0.438182i	$0.855622\pi$
$6$	−0.317071	−	0.115404i	−0.129444	−	0.0471137i
$7$	0.0977794	+	0.169359i	0.0369572	+	0.0640117i	0.883912	−	0.467653i	$-0.154900\pi$
$7$	0.0977794	+	0.169359i	0.0369572	+	0.0640117i	−0.846955	+	0.531664i	$0.821567\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−2.21092	+	1.85518i	−0.736972	+	0.618393i
$10$	−2.01309	+	1.68918i	−0.636593	+	0.534165i
$11$	0.500000	−	0.866025i	0.150756	−	0.261116i
$11$	0.500000	−	0.866025i	0.150756	−	0.261116i
$12$	−0.168710	−	0.292214i	−0.0487024	−	0.0843550i
$13$	−2.79089	−	1.01580i	−0.774054	−	0.281733i	−0.0753630	−	0.997156i	$-0.524012\pi$
$13$	−2.79089	−	1.01580i	−0.774054	−	0.281733i	−0.698691	+	0.715424i	$0.746234\pi$
$14$	−0.0339584	+	0.192588i	−0.00907578	+	0.0514713i
$15$	−0.153975	−	0.873234i	−0.0397561	−	0.225468i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	0.323405	+	0.271369i	0.0784371	+	0.0658166i	0.681163	−	0.732132i	$-0.261474\pi$
$17$	0.323405	+	0.271369i	0.0784371	+	0.0658166i	−0.602726	+	0.797948i	$0.705919\pi$
$18$	−2.88615			−0.680272
$19$	1.78245	+	3.97780i	0.408921	+	0.912570i
$19$	1.78245	+	3.97780i	0.408921	+	0.912570i
$20$	−2.62790			−0.587615
$21$	−0.0505478	−	0.0424146i	−0.0110304	−	0.00925563i
$22$	0.939693	−	0.342020i	0.200343	−	0.0729189i
$23$	−0.286966	−	1.62747i	−0.0598366	−	0.339350i	0.940162	−	0.340726i	$-0.110673\pi$
$23$	−0.286966	−	1.62747i	−0.0598366	−	0.339350i	−0.999999	+	0.00137634i	$0.999562\pi$
$24$	0.0585924	−	0.332294i	0.0119601	−	0.0678292i
$25$	−1.79090	−	0.651835i	−0.358180	−	0.130367i
$26$	−1.48500	−	2.57210i	−0.291233	−	0.504430i
$27$	0.993052	−	1.72002i	0.191113	−	0.331017i
$28$	−0.149807	+	0.125703i	−0.0283108	+	0.0237556i
$29$	−2.12735	+	1.78506i	−0.395040	+	0.331478i	−0.818573	−	0.574403i	$-0.805234\pi$
$29$	−2.12735	+	1.78506i	−0.395040	+	0.331478i	0.423533	+	0.905881i	$0.360790\pi$
$30$	0.443352	−	0.767909i	0.0809447	−	0.140200i
$31$	3.97719	+	6.88870i	0.714325	+	1.23725i	0.963219	+	0.268717i	$0.0865996\pi$
$31$	3.97719	+	6.88870i	0.714325	+	1.23725i	−0.248894	+	0.968531i	$0.580067\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	−0.0585924	+	0.332294i	−0.0101996	+	0.0578449i
$34$	0.0733099	+	0.415761i	0.0125725	+	0.0713024i
$35$	−0.482916	+	0.175767i	−0.0816277	+	0.0297100i
$36$	−2.21092	−	1.85518i	−0.368486	−	0.309197i
$37$	9.69839			1.59441			0.797203	−	0.603712i	$-0.206312\pi$
$37$	9.69839			1.59441			0.797203	+	0.603712i	$0.206312\pi$
$38$	−1.19145	+	4.19291i	−0.193278	+	0.680179i
$39$	1.00214			0.160471
$40$	−2.01309	−	1.68918i	−0.318297	−	0.267083i
$41$	−5.95570	+	2.16770i	−0.930124	+	0.338537i	−0.762259	−	0.647273i	$-0.775909\pi$
$41$	−5.95570	+	2.16770i	−0.930124	+	0.338537i	−0.167865	+	0.985810i	$0.553687\pi$
$42$	−0.0114583	−	0.0649830i	−0.00176805	−	0.0100271i
$43$	−0.0496301	+	0.281467i	−0.00756853	+	0.0429232i	−0.988358	−	0.152145i	$-0.951382\pi$
$43$	−0.0496301	+	0.281467i	−0.00756853	+	0.0429232i	0.980790	+	0.195069i	$0.0624929\pi$
$44$	0.939693	+	0.342020i	0.141664	+	0.0515615i
$45$	−3.79225	−	6.56837i	−0.565315	−	0.979154i
$46$	0.826286	−	1.43117i	0.121829	−	0.211014i
$47$	1.52629	−	1.28071i	0.222632	−	0.186811i	−0.524649	−	0.851319i	$-0.675803\pi$
$47$	1.52629	−	1.28071i	0.222632	−	0.186811i	0.747281	+	0.664508i	$0.231359\pi$
$48$	0.258479	−	0.216889i	0.0373082	−	0.0313053i
$49$	3.48088	−	6.02906i	0.497268	−	0.861294i
$50$	−0.952919	−	1.65050i	−0.134763	−	0.233416i
$51$	−0.133859	−	0.0487208i	−0.0187441	−	0.00682228i
$52$	0.515736	−	2.92488i	0.0715197	−	0.405608i
$53$	0.593217	+	3.36430i	0.0814847	+	0.462123i	0.998060	+	0.0622603i	$0.0198309\pi$
$53$	0.593217	+	3.36430i	0.0814847	+	0.462123i	−0.916575	+	0.399862i	$0.869058\pi$
$54$	1.86633	−	0.679288i	0.253975	−	0.0924393i
$55$	2.01309	+	1.68918i	0.271444	+	0.227769i
$56$	−0.195559			−0.0261327
$57$	−1.02422	−	1.05554i	−0.135661	−	0.139810i
$58$	−2.77706			−0.364646
$59$	10.8781	+	9.12779i	1.41620	+	1.18834i	0.953336	+	0.301910i	$0.0976243\pi$
$59$	10.8781	+	9.12779i	1.41620	+	1.18834i	0.462869	+	0.886427i	$0.346820\pi$
$60$	0.833230	−	0.303271i	0.107570	−	0.0391521i
$61$	−1.45851	−	8.27160i	−0.186743	−	1.05907i	−0.923696	−	0.383127i	$-0.874847\pi$
$61$	−1.45851	−	8.27160i	−0.186743	−	1.05907i	0.736953	−	0.675944i	$-0.236264\pi$
$62$	−1.38127	+	7.83354i	−0.175421	+	0.994861i
$63$	−0.530374	−	0.193040i	−0.0668208	−	0.0243208i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	3.90243	−	6.75921i	0.484037	−	0.838377i
$66$	−0.258479	+	0.216889i	−0.0318165	+	0.0266972i
$67$	5.15543	−	4.32592i	0.629836	−	0.528495i	−0.271042	−	0.962567i	$-0.587368\pi$
$67$	5.15543	−	4.32592i	0.629836	−	0.528495i	0.900878	+	0.434072i	$0.142924\pi$
$68$	−0.211087	+	0.365614i	−0.0255981	+	0.0443372i
$69$	0.278805	+	0.482905i	0.0335642	+	0.0581350i
$70$	−0.482916	−	0.175767i	−0.0577195	−	0.0210082i
$71$	0.300052	−	1.70168i	0.0356097	−	0.201952i	−0.961813	−	0.273709i	$-0.911749\pi$
$71$	0.300052	−	1.70168i	0.0356097	−	0.201952i	0.997422	+	0.0717568i	$0.0228605\pi$
$72$	−0.501174	−	2.84230i	−0.0590640	−	0.334968i
$73$	12.7302	−	4.63342i	1.48996	−	0.542301i	0.536521	−	0.843887i	$-0.319738\pi$
$73$	12.7302	−	4.63342i	1.48996	−	0.542301i	0.953439	+	0.301586i	$0.0975161\pi$
$74$	7.42940	+	6.23400i	0.863650	+	0.724688i
$75$	0.643068			0.0742551
$76$	−3.60785	+	2.44610i	−0.413849	+	0.280587i
$77$	0.195559			0.0222860
$78$	0.767683	+	0.644163i	0.0869230	+	0.0729370i
$79$	−6.92356	+	2.51997i	−0.778962	+	0.283519i	−0.700740	−	0.713417i	$-0.747147\pi$
$79$	−6.92356	+	2.51997i	−0.778962	+	0.283519i	−0.0782221	+	0.996936i	$0.524924\pi$
$80$	−0.456329	−	2.58797i	−0.0510192	−	0.289344i
$81$	1.38715	−	7.86693i	0.154128	−	0.874104i
$82$	−5.95570	−	2.16770i	−0.657697	−	0.239382i
$83$	−3.51742	−	6.09235i	−0.386087	−	0.668723i	0.605832	−	0.795593i	$-0.292840\pi$
$83$	−3.51742	−	6.09235i	−0.386087	−	0.668723i	−0.991919	+	0.126870i	$0.959507\pi$
$84$	0.0329927	−	0.0571451i	0.00359980	−	0.00623504i
$85$	−0.849874	+	0.713129i	−0.0921817	+	0.0773497i
$86$	−0.218942	+	0.183714i	−0.0236091	+	0.0198104i
$87$	0.468518	−	0.811498i	0.0502304	−	0.0870017i
$88$	0.500000	+	0.866025i	0.0533002	+	0.0923186i
$89$	−9.28940	−	3.38107i	−0.984674	−	0.358392i	−0.201019	−	0.979587i	$-0.564425\pi$
$89$	−9.28940	−	3.38107i	−0.984674	−	0.358392i	−0.783656	+	0.621195i	$0.786647\pi$
$90$	1.31703	−	7.46927i	0.138828	−	0.787330i
$91$	−0.100857	−	0.571987i	−0.0105727	−	0.0599605i
$92$	1.55291	−	0.565213i	0.161902	−	0.0589275i
$93$	−2.05604	−	1.72522i	−0.213201	−	0.178897i
$94$	1.99243			0.205503
$95$	−11.1078	+	2.79774i	−1.13964	+	0.287042i
$96$	0.337420			0.0344378
$97$	7.68922	+	6.45202i	0.780722	+	0.655103i	0.943430	−	0.331571i	$-0.107579\pi$
$97$	7.68922	+	6.45202i	0.780722	+	0.655103i	−0.162709	+	0.986674i	$0.552023\pi$
$98$	6.54191	−	2.38106i	0.660833	−	0.240523i
$99$	0.501174	+	2.84230i	0.0503699	+	0.285662i
$100$	0.330945	−	1.87688i	0.0330945	−	0.187688i
$101$	2.02133	+	0.735705i	0.201130	+	0.0732054i	0.440621	−	0.897693i	$-0.354758\pi$
$101$	2.02133	+	0.735705i	0.201130	+	0.0732054i	−0.239491	+	0.970899i	$0.576981\pi$
$102$	−0.0712251	−	0.123365i	−0.00705233	−	0.0122150i
$103$	−2.10654	+	3.64863i	−0.207563	+	0.359510i	−0.950946	−	0.309356i	$-0.899887\pi$
$103$	−2.10654	+	3.64863i	−0.207563	+	0.359510i	0.743383	+	0.668866i	$0.233220\pi$
$104$	2.27516	−	1.90908i	0.223097	−	0.187201i
$105$	0.132834	−	0.111461i	0.0129633	−	0.0108775i
$106$	−1.70810	+	2.95852i	−0.165905	+	0.287357i
$107$	7.40389	+	12.8239i	0.715761	+	1.23973i	0.962665	+	0.270694i	$0.0872533\pi$
$107$	7.40389	+	12.8239i	0.715761	+	1.23973i	−0.246904	+	0.969040i	$0.579413\pi$
$108$	1.86633	+	0.679288i	0.179587	+	0.0653645i
$109$	3.14034	−	17.8097i	0.300790	−	1.70586i	−0.341900	−	0.939736i	$-0.611070\pi$
$109$	3.14034	−	17.8097i	0.300790	−	1.70586i	0.642690	−	0.766127i	$-0.277818\pi$
$110$	0.456329	+	2.58797i	0.0435093	+	0.246753i
$111$	−3.07508	+	1.11924i	−0.291874	+	0.106233i
$112$	−0.149807	−	0.125703i	−0.0141554	−	0.0118778i
$113$	−7.36606			−0.692941			−0.346471	−	0.938061i	$-0.612620\pi$
$113$	−7.36606			−0.692941			−0.346471	+	0.938061i	$0.612620\pi$
$114$	−0.106107	−	1.46695i	−0.00993779	−	0.137392i
$115$	4.34279			0.404967
$116$	−2.12735	−	1.78506i	−0.197520	−	0.165739i
$117$	8.05493	−	2.93175i	0.744678	−	0.271041i
$118$	2.46586	+	13.9846i	0.227001	+	1.28739i
$119$	−0.0143364	+	0.0813057i	−0.00131422	+	0.00745328i
$120$	0.833230	+	0.303271i	0.0760631	+	0.0276847i
$121$	−0.500000	−	0.866025i	−0.0454545	−	0.0787296i
$122$	4.19960	−	7.27393i	0.380214	−	0.658550i
$123$	1.63822	−	1.37463i	0.147713	−	0.123946i
$124$	−6.09342	+	5.11298i	−0.547205	+	0.459159i
$125$	−4.06557	+	7.04177i	−0.363636	+	0.629835i
$126$	−0.282206	−	0.488795i	−0.0251409	−	0.0435453i
$127$	−5.53598	−	2.01493i	−0.491239	−	0.178796i	0.0845104	−	0.996423i	$-0.473067\pi$
$127$	−5.53598	−	2.01493i	−0.491239	−	0.178796i	−0.575749	+	0.817626i	$0.695290\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	−0.0167462	−	0.0949724i	−0.00147442	−	0.00836186i
$130$	7.33417	−	2.66942i	0.643250	−	0.234124i
$131$	9.85788	+	8.27174i	0.861287	+	0.722705i	0.962245	−	0.272185i	$-0.0877464\pi$
$131$	9.85788	+	8.27174i	0.861287	+	0.722705i	−0.100958	+	0.994891i	$0.532191\pi$
$132$	−0.337420			−0.0293686
$133$	−0.499389	+	0.690820i	−0.0433025	+	0.0599017i
$134$	6.72993			0.581378
$135$	3.99820	+	3.35488i	0.344110	+	0.288743i
$136$	−0.396714	+	0.144392i	−0.0340180	+	0.0123815i
$137$	0.409680	+	2.32341i	0.0350013	+	0.198502i	0.997294	−	0.0735129i	$-0.0234210\pi$
$137$	0.409680	+	2.32341i	0.0350013	+	0.198502i	−0.962293	+	0.272015i	$0.912310\pi$
$138$	−0.0968281	+	0.549140i	−0.00824256	+	0.0467459i
$139$	−1.49468	−	0.544020i	−0.126777	−	0.0461432i	0.277852	−	0.960624i	$-0.410377\pi$
$139$	−1.49468	−	0.544020i	−0.126777	−	0.0461432i	−0.404630	+	0.914481i	$0.632600\pi$
$140$	−0.256954	−	0.445058i	−0.0217166	−	0.0376142i
$141$	−0.336143	+	0.582216i	−0.0283083	+	0.0490314i
$142$	1.32367	−	1.11069i	0.111080	−	0.0932073i
$143$	−2.27516	+	1.90908i	−0.190258	+	0.159645i
$144$	1.44307	−	2.49948i	0.120256	−	0.208290i
$145$	−3.64892	−	6.32011i	−0.303026	−	0.524857i
$146$	12.7302	+	4.63342i	1.05356	+	0.383465i
$147$	−0.407906	+	2.31335i	−0.0336435	+	0.190802i
$148$	1.68411	+	9.55105i	0.138433	+	0.785091i
$149$	5.82122	−	2.11875i	0.476893	−	0.173575i	−0.0923793	−	0.995724i	$-0.529447\pi$
$149$	5.82122	−	2.11875i	0.476893	−	0.173575i	0.569272	+	0.822149i	$0.307225\pi$
$150$	0.492618	+	0.413356i	0.0402221	+	0.0337504i
$151$	1.46105			0.118898			0.0594492	−	0.998231i	$-0.481066\pi$
$151$	1.46105			0.118898			0.0594492	+	0.998231i	$0.481066\pi$
$152$	−4.33610	−	0.445256i	−0.351704	−	0.0361150i
$153$	−1.21846			−0.0985065
$154$	0.149807	+	0.125703i	0.0120718	+	0.0101294i
$155$	−19.6427	+	7.14935i	−1.57774	+	0.574250i
$156$	0.174020	+	0.986914i	0.0139327	+	0.0790164i
$157$	−0.550214	+	3.12042i	−0.0439119	+	0.249037i	−0.998860	−	0.0477363i	$-0.984799\pi$
$157$	−0.550214	+	3.12042i	−0.0439119	+	0.249037i	0.954948	+	0.296773i	$0.0959104\pi$
$158$	−6.92356	−	2.51997i	−0.550809	−	0.200478i
$159$	−0.576347	−	0.998263i	−0.0457073	−	0.0791674i
$160$	1.31395	−	2.27582i	0.103877	−	0.179920i
$161$	0.247567	−	0.207733i	0.0195110	−	0.0163717i
$162$	6.11939	−	5.13478i	0.480784	−	0.403426i
$163$	−6.22051	+	10.7742i	−0.487228	+	0.843904i	−0.999892	−	0.0146856i	$-0.995325\pi$
$163$	−6.22051	+	10.7742i	−0.487228	+	0.843904i	0.512664	+	0.858589i	$0.328659\pi$
$164$	−3.16896	−	5.48880i	−0.247454	−	0.428603i
$165$	−0.833230	−	0.303271i	−0.0648669	−	0.0236096i
$166$	1.22159	−	6.92797i	0.0948136	−	0.537715i
$167$	−0.331778	−	1.88161i	−0.0256738	−	0.145603i	0.969276	−	0.245975i	$-0.0791080\pi$
$167$	−0.331778	−	1.88161i	−0.0256738	−	0.145603i	−0.994950	+	0.100371i	$0.967997\pi$
$168$	0.0620061	−	0.0225684i	0.00478387	−	0.00174119i
$169$	−3.20135	−	2.68625i	−0.246258	−	0.206635i
$170$	−1.10943			−0.0850895
$171$	−11.3204	−	5.48783i	−0.865691	−	0.419665i
$172$	−0.285809			−0.0217927
$173$	0.480940	+	0.403557i	0.0365652	+	0.0306818i	0.660887	−	0.750485i	$-0.270180\pi$
$173$	0.480940	+	0.403557i	0.0365652	+	0.0306818i	−0.624322	+	0.781167i	$0.714625\pi$
$174$	0.880526	−	0.320485i	0.0667525	−	0.0242959i
$175$	−0.0647193	−	0.367041i	−0.00489232	−	0.0277457i
$176$	−0.173648	+	0.984808i	−0.0130892	+	0.0742327i
$177$	−4.50251	−	1.63878i	−0.338429	−	0.123178i
$178$	−4.94279	−	8.56116i	−0.370478	−	0.641686i
$179$	6.64498	−	11.5095i	0.496669	−	0.860257i	−0.503323	−	0.864098i	$-0.667889\pi$
$179$	6.64498	−	11.5095i	0.496669	−	0.860257i	0.999993	+	0.00384149i	$0.00122279\pi$
$180$	5.81006	−	4.87522i	0.433056	−	0.363377i
$181$	−11.9432	+	10.0216i	−0.887733	+	0.744896i	−0.967754	−	0.251897i	$-0.918946\pi$
$181$	−11.9432	+	10.0216i	−0.887733	+	0.744896i	0.0800212	+	0.996793i	$0.474501\pi$
$182$	0.290405	−	0.502997i	0.0215263	−	0.0372846i
$183$	1.41703	+	2.45437i	0.104750	+	0.181432i
$184$	1.55291	+	0.565213i	0.114482	+	0.0416681i
$185$	−4.42566	+	25.0992i	−0.325381	+	1.84533i
$186$	−0.466066	−	2.64319i	−0.0341736	−	0.193808i
$187$	0.396714	−	0.144392i	0.0290106	−	0.0105590i
$188$	1.52629	+	1.28071i	0.111316	+	0.0934053i
$189$	0.388400			0.0282520
$190$	−10.3074	−	4.99678i	−0.747780	−	0.362504i
$191$	−16.4943			−1.19349			−0.596744	−	0.802432i	$-0.703539\pi$
$191$	−16.4943			−1.19349			−0.596744	+	0.802432i	$0.703539\pi$
$192$	0.258479	+	0.216889i	0.0186541	+	0.0156526i
$193$	−11.0724	+	4.03002i	−0.797009	+	0.290087i	−0.708246	−	0.705965i	$-0.750513\pi$
$193$	−11.0724	+	4.03002i	−0.797009	+	0.290087i	−0.0887624	+	0.996053i	$0.528291\pi$
$194$	1.74300	+	9.88507i	0.125140	+	0.709707i
$195$	−0.457305	+	2.59351i	−0.0327483	+	0.185725i
$196$	6.54191	+	2.38106i	0.467279	+	0.170076i
$197$	−12.3872	−	21.4553i	−0.882551	−	1.52862i	−0.848495	−	0.529204i	$-0.822491\pi$
$197$	−12.3872	−	21.4553i	−0.882551	−	1.52862i	−0.0340564	−	0.999420i	$-0.510843\pi$
$198$	−1.44307	+	2.49948i	−0.102555	+	0.177630i
$199$	2.81412	−	2.36133i	0.199488	−	0.167390i	−0.537572	−	0.843218i	$-0.680658\pi$
$199$	2.81412	−	2.36133i	0.199488	−	0.167390i	0.737059	+	0.675828i	$0.236214\pi$
$200$	1.45996	−	1.22505i	0.103235	−	0.0866240i
$201$	−1.13541	+	1.96658i	−0.0800854	+	0.138712i
$202$	1.07553	+	1.86287i	0.0756739	+	0.131071i
$203$	−0.510328	−	0.185744i	−0.0358180	−	0.0130367i
$204$	0.0247362	−	0.140286i	0.00173188	−	0.00982199i
$205$	−2.89218	−	16.4024i	−0.201999	−	1.14559i
$206$	−3.95899	+	1.44096i	−0.275836	+	0.100396i
$207$	3.65370	+	3.06582i	0.253950	+	0.213089i
$208$	2.97001			0.205933
$209$	4.33610	+	0.445256i	0.299934	+	0.0307990i
$210$	0.173403			0.0119659
$211$	−4.16729	−	3.49677i	−0.286888	−	0.240728i	0.487974	−	0.872858i	$-0.337736\pi$
$211$	−4.16729	−	3.49677i	−0.286888	−	0.240728i	−0.774862	+	0.632131i	$0.782181\pi$
$212$	−3.21018	+	1.16841i	−0.220476	+	0.0802467i
$213$	0.101244	+	0.574181i	0.00693710	+	0.0393422i
$214$	−2.57134	+	14.5828i	−0.175773	+	0.996861i
$215$	−0.705780	−	0.256883i	−0.0481338	−	0.0175193i
$216$	0.993052	+	1.72002i	0.0675686	+	0.117032i
$217$	−0.777776	+	1.34715i	−0.0527988	+	0.0914503i
$218$	13.8535	−	11.6245i	0.938278	−	0.787309i
$219$	−3.50167	+	2.93825i	−0.236621	+	0.198548i
$220$	−1.31395	+	2.27582i	−0.0885864	+	0.153436i
$221$	−0.626930	−	1.08588i	−0.0421719	−	0.0730439i
$222$	−3.07508	−	1.11924i	−0.206386	−	0.0751183i
$223$	0.698073	−	3.95897i	0.0467465	−	0.265112i	−0.952473	−	0.304624i	$-0.901469\pi$
$223$	0.698073	−	3.95897i	0.0467465	−	0.265112i	0.999219	+	0.0395118i	$0.0125803\pi$
$224$	−0.0339584	−	0.192588i	−0.00226894	−	0.0128678i
$225$	5.16881	−	1.88129i	0.344587	−	0.125419i
$226$	−5.64273	−	4.73481i	−0.375349	−	0.314955i
$227$	23.4233			1.55466			0.777330	−	0.629094i	$-0.216574\pi$
$227$	23.4233			1.55466			0.777330	+	0.629094i	$0.216574\pi$
$228$	0.861653	−	1.19195i	0.0570644	−	0.0789389i
$229$	4.68050			0.309296			0.154648	−	0.987970i	$-0.450576\pi$
$229$	4.68050			0.309296			0.154648	+	0.987970i	$0.450576\pi$
$230$	3.32677	+	2.79149i	0.219361	+	0.184065i
$231$	−0.0620061	+	0.0225684i	−0.00407970	+	0.00148489i
$232$	−0.482232	−	2.73487i	−0.0316601	−	0.179553i
$233$	2.12087	−	12.0280i	0.138943	−	0.787982i	−0.833090	−	0.553137i	$-0.813431\pi$
$233$	2.12087	−	12.0280i	0.138943	−	0.787982i	0.972033	−	0.234845i	$-0.0754583\pi$
$234$	8.05493	+	2.93175i	0.526567	+	0.191655i
$235$	2.61795	+	4.53442i	0.170776	+	0.295793i
$236$	−7.10016	+	12.2978i	−0.462181	+	0.800521i
$237$	1.90445	−	1.59802i	0.123707	−	0.103803i
$238$	−0.0632446	+	0.0530685i	−0.00409954	+	0.00343992i
$239$	−12.7875	+	22.1486i	−0.827155	+	1.43267i	0.0731069	+	0.997324i	$0.476709\pi$
$239$	−12.7875	+	22.1486i	−0.827155	+	1.43267i	−0.900261	+	0.435350i	$0.856625\pi$
$240$	0.443352	+	0.767909i	0.0286183	+	0.0495683i
$241$	−10.3150	−	3.75437i	−0.664450	−	0.241840i	−0.0122935	−	0.999924i	$-0.503913\pi$
$241$	−10.3150	−	3.75437i	−0.664450	−	0.241840i	−0.652156	+	0.758084i	$0.726135\pi$
$242$	0.173648	−	0.984808i	0.0111625	−	0.0633058i
$243$	1.50270	+	8.52225i	0.0963984	+	0.546703i
$244$	7.89267	−	2.87270i	0.505277	−	0.183906i
$245$	14.0146	+	11.7597i	0.895361	+	0.751297i
$246$	2.13854			0.136348
$247$	−0.933960	−	12.9122i	−0.0594265	−	0.821585i
$248$	−7.95439			−0.505104
$249$	1.81836	+	1.52578i	0.115234	+	0.0966926i
$250$	−7.64077	+	2.78101i	−0.483245	+	0.175887i
$251$	1.70989	+	9.69728i	0.107927	+	0.612087i	0.990011	+	0.140993i	$0.0450295\pi$
$251$	1.70989	+	9.69728i	0.107927	+	0.612087i	−0.882083	+	0.471094i	$0.843859\pi$
$252$	0.0980091	−	0.555837i	0.00617399	−	0.0350144i
$253$	−1.55291	−	0.565213i	−0.0976306	−	0.0355346i
$254$	−2.94564	−	5.10199i	−0.184826	−	0.320127i
$255$	0.187172	−	0.324192i	0.0117212	−	0.0203017i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−14.1758	+	11.8949i	−0.884264	+	0.741985i	−0.967051	−	0.254582i	$-0.918062\pi$
$257$	−14.1758	+	11.8949i	−0.884264	+	0.741985i	0.0827874	+	0.996567i	$0.473618\pi$
$258$	0.0482188	−	0.0835173i	0.00300197	−	0.00519956i
$259$	0.948303	+	1.64251i	0.0589247	+	0.102061i
$260$	7.33417	+	2.66942i	0.454846	+	0.165550i
$261$	1.39179	−	7.89325i	0.0861498	−	0.488580i
$262$	2.23460	+	12.6730i	0.138054	+	0.782943i
$263$	−6.30821	+	2.29600i	−0.388981	+	0.141577i	−0.529105	−	0.848557i	$-0.677472\pi$
$263$	−6.30821	+	2.29600i	−0.388981	+	0.141577i	0.140124	+	0.990134i	$0.455250\pi$
$264$	−0.258479	−	0.216889i	−0.0159083	−	0.0133486i
$265$	−8.97743			−0.551479
$266$	−0.826605	+	0.208198i	−0.0506824	+	0.0127654i
$267$	3.33559			0.204135
$268$	5.15543	+	4.32592i	0.314918	+	0.264248i
$269$	−24.0544	+	8.75508i	−1.46662	+	0.533806i	−0.947181	−	0.320700i	$-0.896082\pi$
$269$	−24.0544	+	8.75508i	−1.46662	+	0.533806i	−0.519441	+	0.854507i	$0.673860\pi$
$270$	0.906317	+	5.13998i	0.0551567	+	0.312809i
$271$	3.44517	−	19.5385i	0.209279	−	1.18688i	−0.681283	−	0.732020i	$-0.738578\pi$
$271$	3.44517	−	19.5385i	0.209279	−	1.18688i	0.890562	−	0.454862i	$-0.150311\pi$
$272$	−0.396714	−	0.144392i	−0.0240543	−	0.00875507i
$273$	0.0979886	+	0.169721i	0.00593054	+	0.0102720i
$274$	−1.17963	+	2.04317i	−0.0712638	+	0.123433i
$275$	−1.45996	+	1.22505i	−0.0880387	+	0.0738732i
$276$	−0.427155	+	0.358425i	−0.0257117	+	0.0215747i
$277$	9.54154	−	16.5264i	0.573295	−	0.992977i	−0.422929	−	0.906163i	$-0.638998\pi$
$277$	9.54154	−	16.5264i	0.573295	−	0.992977i	0.996225	−	0.0868141i	$-0.0276686\pi$
$278$	−0.795305	−	1.37751i	−0.0476992	−	0.0826174i
$279$	−21.5730	−	7.85194i	−1.29154	−	0.470083i
$280$	0.0892393	−	0.506101i	0.00533307	−	0.0302453i
$281$	2.64254	+	14.9866i	0.157641	+	0.894024i	0.956332	+	0.292283i	$0.0944149\pi$
$281$	2.64254	+	14.9866i	0.157641	+	0.894024i	−0.798691	+	0.601741i	$0.794474\pi$
$282$	−0.631741	+	0.229935i	−0.0376197	+	0.0136924i
$283$	22.7656	+	19.1026i	1.35327	+	1.13553i	0.977998	+	0.208616i	$0.0668959\pi$
$283$	22.7656	+	19.1026i	1.35327	+	1.13553i	0.375274	+	0.926914i	$0.377549\pi$
$284$	1.72793			0.102534
$285$	3.19910	−	2.16897i	0.189498	−	0.128479i
$286$	−2.97001			−0.175620
$287$	−0.949463	−	0.796694i	−0.0560451	−	0.0470274i
$288$	2.71209	−	0.987121i	0.159812	−	0.0581666i
$289$	−2.92107	−	16.5662i	−0.171828	−	0.974483i
$290$	1.26726	−	7.18696i	0.0744158	−	0.422033i
$291$	−3.18262	−	1.15838i	−0.186569	−	0.0679054i
$292$	6.77361	+	11.7322i	0.396395	+	0.686577i
$293$	−10.7560	+	18.6299i	−0.628372	+	1.08837i	0.359507	+	0.933142i	$0.382945\pi$
$293$	−10.7560	+	18.6299i	−0.628372	+	1.08837i	−0.987878	+	0.155229i	$0.950388\pi$
$294$	−1.79947	+	1.50993i	−0.104947	+	0.0880610i
$295$	−28.5865	+	23.9869i	−1.66437	+	1.39657i
$296$	−4.84919	+	8.39905i	−0.281854	+	0.488185i
$297$	−0.993052	−	1.72002i	−0.0576227	−	0.0998055i
$298$	5.82122	+	2.11875i	0.337214	+	0.122736i
$299$	−0.852291	+	4.83358i	−0.0492893	+	0.279533i
$300$	0.111668	+	0.633298i	0.00644713	+	0.0365635i
$301$	−0.0525217	+	0.0191163i	−0.00302730	+	0.00110185i
$302$	1.11923	+	0.939143i	0.0644043	+	0.0540416i
$303$	−0.725810			−0.0416967
$304$	−3.03544	−	3.12828i	−0.174094	−	0.179419i
$305$	22.0722			1.26385
$306$	−0.933393	−	0.783210i	−0.0533586	−	0.0447731i
$307$	23.0497	−	8.38942i	1.31552	−	0.478809i	0.413499	−	0.910505i	$-0.364307\pi$
$307$	23.0497	−	8.38942i	1.31552	−	0.478809i	0.902019	+	0.431695i	$0.142084\pi$
$308$	0.0339584	+	0.192588i	0.00193496	+	0.0109737i
$309$	0.246854	−	1.39998i	0.0140430	−	0.0796419i
$310$	−19.6427	−	7.14935i	−1.11563	−	0.406056i
$311$	1.28494	+	2.22558i	0.0728622	+	0.126201i	0.900155	−	0.435570i	$-0.143453\pi$
$311$	1.28494	+	2.22558i	0.0728622	+	0.126201i	−0.827292	+	0.561772i	$0.810120\pi$
$312$	−0.501070	+	0.867878i	−0.0283675	+	0.0491339i
$313$	9.17631	−	7.69984i	0.518676	−	0.435221i	−0.345494	−	0.938421i	$-0.612289\pi$
$313$	9.17631	−	7.69984i	0.518676	−	0.435221i	0.864170	+	0.503200i	$0.167844\pi$
$314$	−2.42726	+	2.03671i	−0.136978	+	0.114938i
$315$	0.741608	−	1.28450i	0.0417849	−	0.0723735i
$316$	−3.68395	−	6.38079i	−0.207238	−	0.358948i
$317$	9.15381	+	3.33172i	0.514129	+	0.187128i	0.586038	−	0.810283i	$-0.300687\pi$
$317$	9.15381	+	3.33172i	0.514129	+	0.187128i	−0.0719088	+	0.997411i	$0.522909\pi$
$318$	0.200163	−	1.13518i	0.0112246	−	0.0636579i
$319$	0.482232	+	2.73487i	0.0269998	+	0.153124i
$320$	2.46941	−	0.898793i	0.138044	−	0.0502441i
$321$	−3.82749	−	3.21165i	−0.213630	−	0.179257i
$322$	0.323175			0.0180098
$323$	−0.502999	+	1.77014i	−0.0279876	+	0.0984931i
$324$	7.98829			0.443794
$325$	4.33608	+	3.63840i	0.240522	+	0.201822i
$326$	−11.6907	+	4.25508i	−0.647490	+	0.235667i
$327$	1.05961	+	6.00936i	0.0585967	+	0.332318i
$328$	1.10057	−	6.24163i	0.0607687	−	0.344636i
$329$	0.366139	+	0.133264i	0.0201859	+	0.00734707i
$330$	−0.443352	−	0.767909i	−0.0244057	−	0.0422720i
$331$	14.2585	−	24.6965i	0.783720	−	1.35744i	−0.146041	−	0.989278i	$-0.546653\pi$
$331$	14.2585	−	24.6965i	0.783720	−	1.35744i	0.929761	−	0.368164i	$-0.120013\pi$
$332$	5.38900	−	4.52191i	0.295760	−	0.248172i
$333$	−21.4423	+	17.9923i	−1.17503	+	0.985970i
$334$	0.955318	−	1.65466i	0.0522727	−	0.0905389i
$335$	8.84278	+	15.3162i	0.483133	+	0.836811i
$336$	0.0620061	+	0.0225684i	0.00338271	+	0.00123120i
$337$	4.07659	−	23.1195i	0.222066	−	1.25940i	−0.646149	−	0.763211i	$-0.723622\pi$
$337$	4.07659	−	23.1195i	0.222066	−	1.25940i	0.868215	−	0.496187i	$-0.165267\pi$
$338$	−0.725688	−	4.11558i	−0.0394722	−	0.223858i
$339$	2.33557	−	0.850076i	0.126851	−	0.0461698i
$340$	−0.849874	−	0.713129i	−0.0460909	−	0.0386748i
$341$	7.95439			0.430754
$342$	−5.14440	−	11.4805i	−0.278177	−	0.620795i
$343$	2.73035			0.147425
$344$	−0.218942	−	0.183714i	−0.0118046	−	0.00990521i
$345$	−1.37697	+	0.501177i	−0.0741337	+	0.0269825i
$346$	0.109020	+	0.618285i	0.00586097	+	0.0332392i
$347$	5.34517	−	30.3140i	0.286944	−	1.62734i	−0.411315	−	0.911493i	$-0.634930\pi$
$347$	5.34517	−	30.3140i	0.286944	−	1.62734i	0.698259	−	0.715845i	$-0.253958\pi$
$348$	0.880526	+	0.320485i	0.0472012	+	0.0171798i
$349$	−1.00028	−	1.73253i	−0.0535436	−	0.0927403i	0.838011	−	0.545653i	$-0.183718\pi$
$349$	−1.00028	−	1.73253i	−0.0535436	−	0.0927403i	−0.891555	+	0.452913i	$0.850385\pi$
$350$	0.186352	−	0.322771i	0.00996092	−	0.0172528i
$351$	−4.51870	+	3.79164i	−0.241190	+	0.202383i
$352$	−0.766044	+	0.642788i	−0.0408303	+	0.0342607i
$353$	6.68592	−	11.5804i	0.355856	−	0.616360i	−0.631408	−	0.775450i	$-0.717523\pi$
$353$	6.68592	−	11.5804i	0.355856	−	0.616360i	0.987264	+	0.159090i	$0.0508562\pi$
$354$	−2.39574	−	4.14954i	−0.127332	−	0.220545i
$355$	4.26698	+	1.55305i	0.226468	+	0.0824275i
$356$	1.71661	−	9.73539i	0.0909802	−	0.515975i
$357$	−0.00483739	−	0.0274342i	−0.000256022	−	0.00145197i
$358$	12.4885	−	4.54544i	0.660037	−	0.240234i
$359$	−7.40887	−	6.21678i	−0.391025	−	0.328109i	0.425987	−	0.904729i	$-0.359927\pi$
$359$	−7.40887	−	6.21678i	−0.391025	−	0.328109i	−0.817012	+	0.576620i	$0.804371\pi$
$360$	7.58450			0.399738
$361$	−12.6458	+	14.1804i	−0.665567	+	0.746338i
$362$	−15.5908			−0.819433
$363$	0.258479	+	0.216889i	0.0135666	+	0.0113837i
$364$	0.545784	−	0.198649i	0.0286068	−	0.0104120i
$365$	6.18199	+	35.0598i	0.323580	+	1.83511i
$366$	−0.492129	+	2.79100i	−0.0257240	+	0.145888i
$367$	23.6127	+	8.59430i	1.23257	+	0.448619i	0.874477	−	0.485067i	$-0.161205\pi$
$367$	23.6127	+	8.59430i	1.23257	+	0.448619i	0.358093	+	0.933686i	$0.383427\pi$
$368$	0.826286	+	1.43117i	0.0430731	+	0.0746049i
$369$	9.14609	−	15.8415i	0.476126	−	0.824675i
$370$	−19.5237	+	16.3823i	−1.01499	+	0.851676i
$371$	−0.511770	+	0.429426i	−0.0265698	+	0.0222947i
$372$	1.34198	−	2.32439i	0.0695787	−	0.120514i
$373$	−4.10667	−	7.11295i	−0.212635	−	0.368295i	0.739903	−	0.672713i	$-0.234871\pi$
$373$	−4.10667	−	7.11295i	−0.212635	−	0.368295i	−0.952538	+	0.304418i	$0.901538\pi$
$374$	0.396714	+	0.144392i	0.0205136	+	0.00746635i
$375$	0.476423	−	2.70193i	0.0246024	−	0.139527i
$376$	0.345982	+	1.96216i	0.0178426	+	0.101191i
$377$	7.75048	−	2.82095i	0.399170	−	0.145286i
$378$	0.297532	+	0.249659i	0.0153034	+	0.0128411i
$379$	29.3558			1.50791			0.753954	−	0.656928i	$-0.228144\pi$
$379$	29.3558			1.50791			0.753954	+	0.656928i	$0.228144\pi$
$380$	−4.68408	−	10.4532i	−0.240288	−	0.536240i
$381$	1.98783			0.101840
$382$	−12.6354	−	10.6023i	−0.646483	−	0.542463i
$383$	1.87093	−	0.680964i	0.0956003	−	0.0347957i	−0.293777	−	0.955874i	$-0.594912\pi$
$383$	1.87093	−	0.680964i	0.0956003	−	0.0347957i	0.389377	+	0.921078i	$0.372690\pi$
$384$	0.0585924	+	0.332294i	0.00299003	+	0.0169573i
$385$	−0.0892393	+	0.506101i	−0.00454805	+	0.0257933i
$386$	−11.0724	−	4.03002i	−0.563570	−	0.205123i
$387$	−0.412443	−	0.714372i	−0.0209657	−	0.0363136i
$388$	−5.01878	+	8.69278i	−0.254790	+	0.441309i
$389$	7.98064	−	6.69655i	0.404634	−	0.339529i	−0.417647	−	0.908609i	$-0.637145\pi$
$389$	7.98064	−	6.69655i	0.404634	−	0.339529i	0.822282	+	0.569081i	$0.192701\pi$
$390$	−2.01739	+	1.69279i	−0.102155	+	0.0857179i
$391$	0.348837	−	0.604204i	0.0176415	−	0.0305559i
$392$	3.48088	+	6.02906i	0.175811	+	0.304513i
$393$	−4.08024	−	1.48509i	−0.205821	−	0.0749127i
$394$	4.30203	−	24.3980i	0.216733	−	1.22915i
$395$	−3.36219	−	19.0679i	−0.169170	−	0.959412i
$396$	−2.71209	+	0.987121i	−0.136288	+	0.0496047i
$397$	15.9894	+	13.4167i	0.802485	+	0.673365i	0.948802	−	0.315873i	$-0.102297\pi$
$397$	15.9894	+	13.4167i	0.802485	+	0.673365i	−0.146316	+	0.989238i	$0.546742\pi$
$398$	3.67357			0.184140
$399$	0.0786182	−	0.276671i	0.00393583	−	0.0138509i
$400$	1.90584			0.0952919
$401$	8.17125	+	6.85649i	0.408053	+	0.342397i	0.823596	−	0.567176i	$-0.191964\pi$
$401$	8.17125	+	6.85649i	0.408053	+	0.342397i	−0.415544	+	0.909573i	$0.636409\pi$
$402$	−2.13387	+	0.776664i	−0.106428	+	0.0387365i
$403$	−4.10236	−	23.2657i	−0.204353	−	1.15895i
$404$	−0.373527	+	2.11838i	−0.0185837	+	0.105393i
$405$	19.7264	+	7.17982i	0.980213	+	0.356768i
$406$	−0.271540	−	0.470321i	−0.0134763	−	0.0233416i
$407$	4.84919	−	8.39905i	0.240366	−	0.416326i
$408$	0.109123	−	0.0915652i	0.00540240	−	0.00453315i
$409$	−12.5465	+	10.5278i	−0.620385	+	0.520565i	−0.897925	−	0.440149i	$-0.854925\pi$
$409$	−12.5465	+	10.5278i	−0.620385	+	0.520565i	0.277540	+	0.960714i	$0.410481\pi$
$410$	8.32770	−	14.4240i	0.411276	−	0.712350i
$411$	−0.398029	−	0.689407i	−0.0196333	−	0.0340059i
$412$	−3.95899	−	1.44096i	−0.195046	−	0.0709908i
$413$	−0.482221	+	2.73481i	−0.0237285	+	0.134571i
$414$	0.828227	+	4.69711i	0.0407051	+	0.230850i
$415$	17.3719	−	6.32287i	0.852755	−	0.310378i
$416$	2.27516	+	1.90908i	0.111549	+	0.0936005i
$417$	0.536703			0.0262825
$418$	3.03544	+	3.12828i	0.148468	+	0.153009i
$419$	25.0225			1.22243			0.611214	−	0.791465i	$-0.290681\pi$
$419$	25.0225			1.22243			0.611214	+	0.791465i	$0.290681\pi$
$420$	0.132834	+	0.111461i	0.00648165	+	0.00543875i
$421$	−10.1712	+	3.70201i	−0.495713	+	0.180425i	−0.577765	−	0.816203i	$-0.696075\pi$
$421$	−10.1712	+	3.70201i	−0.495713	+	0.180425i	0.0820518	+	0.996628i	$0.473853\pi$
$422$	−0.944648	−	5.35737i	−0.0459848	−	0.260793i
$423$	−0.998554	+	5.66308i	−0.0485514	+	0.275348i
$424$	−3.21018	−	1.16841i	−0.155900	−	0.0567430i
$425$	−0.402298	−	0.696801i	−0.0195143	−	0.0337998i
$426$	−0.291519	+	0.504926i	−0.0141242	+	0.0244638i
$427$	1.25826	−	1.05580i	0.0608914	−	0.0510939i
$428$	−11.3434	+	9.51826i	−0.548305	+	0.460082i
$429$	0.501070	−	0.867878i	0.0241919	−	0.0419015i
$430$	−0.375538	−	0.650450i	−0.0181100	−	0.0313675i
$431$	−15.2500	−	5.55054i	−0.734566	−	0.267360i	−0.0524695	−	0.998623i	$-0.516709\pi$
$431$	−15.2500	−	5.55054i	−0.734566	−	0.267360i	−0.682096	+	0.731263i	$0.738931\pi$
$432$	−0.344883	+	1.95593i	−0.0165932	+	0.0941047i
$433$	−6.37881	−	36.1760i	−0.306546	−	1.73851i	−0.616137	−	0.787639i	$-0.711303\pi$
$433$	−6.37881	−	36.1760i	−0.306546	−	1.73851i	0.309591	−	0.950870i	$-0.399808\pi$
$434$	−1.46174	+	0.532030i	−0.0701658	+	0.0255383i
$435$	1.88633	+	1.58282i	0.0904428	+	0.0758905i
$436$	18.0845			0.866089
$437$	5.96223	−	4.04236i	0.285212	−	0.193373i
$438$	−4.57110			−0.218416
$439$	−15.1820	−	12.7393i	−0.724600	−	0.608011i	0.204054	−	0.978960i	$-0.434588\pi$
$439$	−15.1820	−	12.7393i	−0.724600	−	0.608011i	−0.928654	+	0.370948i	$0.879033\pi$
$440$	−2.46941	+	0.898793i	−0.117725	+	0.0428483i
$441$	3.48905	+	19.7874i	0.166145	+	0.942257i
$442$	0.217731	−	1.23481i	0.0103564	−	0.0587340i
$443$	1.02725	+	0.373890i	0.0488063	+	0.0177640i	0.366308	−	0.930494i	$-0.380622\pi$
$443$	1.02725	+	0.373890i	0.0488063	+	0.0177640i	−0.317502	+	0.948258i	$0.602844\pi$
$444$	−1.63622	−	2.83401i	−0.0776513	−	0.134496i
$445$	12.9891	−	22.4978i	0.615744	−	1.06650i
$446$	3.07953	−	2.58403i	0.145820	−	0.122358i
$447$	−1.60123	+	1.34359i	−0.0757355	+	0.0635496i
$448$	0.0977794	−	0.169359i	0.00461964	−	0.00800146i
$449$	−3.65896	−	6.33751i	−0.172677	−	0.299086i	0.766678	−	0.642032i	$-0.221908\pi$
$449$	−3.65896	−	6.33751i	−0.172677	−	0.299086i	−0.939355	+	0.342946i	$0.888575\pi$
$450$	5.16881	+	1.88129i	0.243660	+	0.0886849i
$451$	−1.10057	+	6.24163i	−0.0518237	+	0.293907i
$452$	−1.27910	−	7.25416i	−0.0601640	−	0.341207i
$453$	−0.463256	+	0.168611i	−0.0217657	+	0.00792205i
$454$	17.9433	+	15.0562i	0.842120	+	0.706623i
$455$	1.52631			0.0715545
$456$	1.42624	−	0.359227i	0.0667896	−	0.0168224i
$457$	19.5298			0.913567			0.456784	−	0.889578i	$-0.349001\pi$
$457$	19.5298			0.913567			0.456784	+	0.889578i	$0.349001\pi$
$458$	3.58547	+	3.00857i	0.167538	+	0.140581i
$459$	0.787916	−	0.286778i	0.0367768	−	0.0133857i
$460$	0.754117	+	4.27681i	0.0351609	+	0.199407i
$461$	6.31406	−	35.8088i	0.294075	−	1.66778i	−0.376864	−	0.926269i	$-0.622997\pi$
$461$	6.31406	−	35.8088i	0.294075	−	1.66778i	0.670939	−	0.741513i	$-0.265891\pi$
$462$	−0.0620061	−	0.0225684i	−0.00288478	−	0.00104998i
$463$	11.5803	+	20.0577i	0.538183	+	0.932161i	0.999002	+	0.0446665i	$0.0142225\pi$
$463$	11.5803	+	20.0577i	0.538183	+	0.932161i	−0.460819	+	0.887494i	$0.652444\pi$
$464$	1.38853	−	2.40501i	0.0644610	−	0.111650i
$465$	5.40306	−	4.53371i	0.250561	−	0.210246i
$466$	9.35614	−	7.85074i	0.433415	−	0.363678i
$467$	18.0581	−	31.2776i	0.835631	−	1.44736i	−0.0578842	−	0.998323i	$-0.518435\pi$
$467$	18.0581	−	31.2776i	0.835631	−	1.44736i	0.893515	−	0.449032i	$-0.148231\pi$
$468$	4.28594	+	7.42346i	0.198117	+	0.343150i
$469$	1.23673	+	0.450132i	0.0571068	+	0.0207852i
$470$	−0.909204	+	5.15635i	−0.0419384	+	0.237845i
$471$	−0.185653	−	1.05289i	−0.00855445	−	0.0485147i
$472$	−13.3439	+	4.85680i	−0.614204	+	0.223552i
$473$	0.218942	+	0.183714i	0.0100670	+	0.00844719i
$474$	2.48608			0.114189
$475$	−0.599318	−	8.28571i	−0.0274986	−	0.380174i
$476$	−0.0825600			−0.00378413
$477$	−7.55294	−	6.33767i	−0.345825	−	0.290182i
$478$	−24.0326	+	8.74716i	−1.09923	+	0.400086i
$479$	−4.04045	−	22.9145i	−0.184613	−	1.04699i	−0.926452	−	0.376413i	$-0.877157\pi$
$479$	−4.04045	−	22.9145i	−0.184613	−	1.04699i	0.741839	−	0.670578i	$-0.233954\pi$
$480$	−0.153975	+	0.873234i	−0.00702795	+	0.0398575i
$481$	−27.0672	−	9.85164i	−1.23416	−	0.449196i
$482$	−5.48852	−	9.50639i	−0.249995	−	0.433004i
$483$	−0.0545229	+	0.0944364i	−0.00248088	+	0.00429701i
$484$	0.766044	−	0.642788i	0.0348202	−	0.0292176i
$485$	−20.2065	+	16.9552i	−0.917528	+	0.769898i
$486$	−4.32686	+	7.49434i	−0.196270	+	0.339950i
$487$	15.7272	+	27.2403i	0.712667	+	1.23438i	0.963853	+	0.266436i	$0.0858461\pi$
$487$	15.7272	+	27.2403i	0.712667	+	1.23438i	−0.251186	+	0.967939i	$0.580821\pi$
$488$	7.89267	+	2.87270i	0.357285	+	0.130041i
$489$	0.728949	−	4.13407i	0.0329642	−	0.186949i
$490$	3.17685	+	18.0168i	0.143516	+	0.813918i
$491$	−0.531580	+	0.193479i	−0.0239899	+	0.00873159i	−0.353987	−	0.935250i	$-0.615174\pi$
$491$	−0.531580	+	0.193479i	−0.0239899	+	0.00873159i	0.329997	+	0.943982i	$0.392952\pi$
$492$	1.63822	+	1.37463i	0.0738565	+	0.0619730i
$493$	−1.17241			−0.0528025
$494$	7.58436	−	10.4917i	0.341236	−	0.472043i
$495$	−7.58450			−0.340898
$496$	−6.09342	−	5.11298i	−0.273602	−	0.229580i
$497$	0.317534	−	0.115573i	0.0142433	−	0.00518415i
$498$	0.412188	+	2.33764i	0.0184706	+	0.104752i
$499$	2.61748	−	14.8444i	0.117174	−	0.664528i	−0.868476	−	0.495730i	$-0.834900\pi$
$499$	2.61748	−	14.8444i	0.117174	−	0.664528i	0.985651	−	0.168798i	$-0.0539885\pi$
$500$	−7.64077	−	2.78101i	−0.341706	−	0.124371i
$501$	0.322343	+	0.558315i	0.0144012	+	0.0249437i
$502$	−4.92344	+	8.52764i	−0.219744	+	0.380607i
$503$	−15.1173	+	12.6849i	−0.674046	+	0.565592i	−0.914260	−	0.405128i	$-0.867227\pi$
$503$	−15.1173	+	12.6849i	−0.674046	+	0.565592i	0.240214	+	0.970720i	$0.422783\pi$
$504$	0.432365	−	0.362797i	0.0192590	−	0.0161603i
$505$	−2.82638	+	4.89543i	−0.125772	+	0.217844i
$506$	−0.826286	−	1.43117i	−0.0367329	−	0.0636233i
$507$	1.32506	+	0.482283i	0.0588481	+	0.0214189i
$508$	1.02301	−	5.80177i	0.0453887	−	0.257412i
$509$	0.394315	+	2.23627i	0.0174777	+	0.0991211i	0.992299	−	0.123868i	$-0.0395298\pi$
$509$	0.394315	+	2.23627i	0.0174777	+	0.0991211i	−0.974821	+	0.222989i	$0.928419\pi$
$510$	0.351769	−	0.128033i	0.0155766	−	0.00566941i
$511$	2.02946	+	1.70292i	0.0897782	+	0.0753329i
$512$	1.00000			0.0441942
$513$	8.61194	+	0.884324i	0.380226	+	0.0390439i
$514$	−18.5052			−0.816231
$515$	−8.48127	−	7.11663i	−0.373729	−	0.313596i
$516$	0.0906216	−	0.0329836i	0.00398939	−	0.00145202i
$517$	−0.345982	−	1.96216i	−0.0152163	−	0.0862957i
$518$	−0.329342	+	1.86779i	−0.0144705	+	0.0820661i
$519$	−0.199064	−	0.0724535i	−0.00873796	−	0.00318036i
$520$	3.90243	+	6.75921i	0.171133	+	0.296411i
$521$	−21.5986	+	37.4099i	−0.946254	+	1.63896i	−0.193032	+	0.981192i	$0.561832\pi$
$521$	−21.5986	+	37.4099i	−0.946254	+	1.63896i	−0.753221	+	0.657767i	$0.771501\pi$
$522$	6.13986	−	5.15195i	0.268734	−	0.225495i
$523$	2.61327	−	2.19280i	0.114270	−	0.0958843i	−0.583862	−	0.811853i	$-0.698459\pi$
$523$	2.61327	−	2.19280i	0.114270	−	0.0958843i	0.698132	+	0.715969i	$0.254015\pi$
$524$	−6.43427	+	11.1445i	−0.281082	+	0.486849i
$525$	0.0628788	+	0.108909i	0.00274426	+	0.00475319i
$526$	−6.30821	−	2.29600i	−0.275051	−	0.100110i
$527$	−0.583135	+	3.30712i	−0.0254018	+	0.144061i
$528$	−0.0585924	−	0.332294i	−0.00254991	−	0.0144612i
$529$	19.0466	−	6.93241i	0.828115	−	0.301409i
$530$	−6.87711	−	5.77058i	−0.298722	−	0.250658i
$531$	−40.9842			−1.77856
$532$	−0.767043	−	0.371843i	−0.0332555	−	0.0161214i
$533$	18.8237			0.815343
$534$	2.55521	+	2.14408i	0.110575	+	0.0927832i
$535$	−36.5665	+	13.3091i	−1.58091	+	0.575404i
$536$	1.16864	+	6.62769i	0.0504776	+	0.286273i
$537$	−0.778691	+	4.41617i	−0.0336030	+	0.190572i
$538$	−24.0544	−	8.75508i	−1.03706	−	0.377458i
$539$	−3.48088	−	6.02906i	−0.149932	−	0.259690i
$540$	−2.60964	+	4.52002i	−0.112301	+	0.194511i
$541$	−17.4658	+	14.6556i	−0.750915	+	0.630093i	−0.935745	−	0.352678i	$-0.885271\pi$
$541$	−17.4658	+	14.6556i	−0.750915	+	0.630093i	0.184830	+	0.982771i	$0.440827\pi$
$542$	15.1983	−	12.7529i	0.652822	−	0.547783i
$543$	2.63032	−	4.55585i	0.112878	−	0.195510i
$544$	−0.211087	−	0.365614i	−0.00905030	−	0.0156756i
$545$	44.6581	+	16.2542i	1.91294	+	0.696254i
$546$	−0.0340311	+	0.193000i	−0.00145640	+	0.00825963i
$547$	−6.04462	−	34.2807i	−0.258449	−	1.46574i	−0.787061	−	0.616875i	$-0.788398\pi$
$547$	−6.04462	−	34.2807i	−0.258449	−	1.46574i	0.528612	−	0.848864i	$-0.322713\pi$
$548$	−2.21697	+	0.806911i	−0.0947043	+	0.0344695i
$549$	18.5700	+	15.5820i	0.792546	+	0.665025i
$550$	−1.90584			−0.0812652
$551$	−10.8925	−	5.28041i	−0.464037	−	0.224953i
$552$	−0.557611			−0.0237335
$553$	−1.10376	−	0.926166i	−0.0469367	−	0.0393846i
$554$	17.9322	−	6.52680i	0.761867	−	0.277297i
$555$	−1.49331	−	8.46896i	−0.0633873	−	0.359487i
$556$	0.276206	−	1.56644i	0.0117138	−	0.0664320i
$557$	3.18819	+	1.16041i	0.135088	+	0.0491680i	0.408679	−	0.912678i	$-0.365989\pi$
$557$	3.18819	+	1.16041i	0.135088	+	0.0491680i	−0.273591	+	0.961846i	$0.588212\pi$
$558$	−11.4788	−	19.8818i	−0.485935	−	0.841664i
$559$	0.424426	−	0.735128i	0.0179513	−	0.0310926i
$560$	0.393677	−	0.330334i	0.0166359	−	0.0139592i
$561$	−0.109123	+	0.0915652i	−0.00460718	+	0.00386589i
$562$	−7.60888	+	13.1790i	−0.320961	+	0.555921i
$563$	15.9678	+	27.6571i	0.672963	+	1.16561i	0.977060	+	0.212966i	$0.0683122\pi$
$563$	15.9678	+	27.6571i	0.672963	+	1.16561i	−0.304096	+	0.952641i	$0.598354\pi$
$564$	−0.631741	−	0.229935i	−0.0266011	−	0.00968201i
$565$	3.36135	−	19.0632i	0.141413	−	0.801994i
$566$	5.16053	+	29.2668i	0.216913	+	1.23018i
$567$	1.46797	−	0.534298i	0.0616490	−	0.0224384i
$568$	1.32367	+	1.11069i	0.0555401	+	0.0466037i
$569$	−10.8318			−0.454092			−0.227046	−	0.973884i	$-0.572907\pi$
$569$	−10.8318			−0.454092			−0.227046	+	0.973884i	$0.572907\pi$
$570$	3.84484	+	0.394810i	0.161043	+	0.0165368i
$571$	−33.8025			−1.41459			−0.707295	−	0.706918i	$-0.750085\pi$
$571$	−33.8025			−1.41459			−0.707295	+	0.706918i	$0.750085\pi$
$572$	−2.27516	−	1.90908i	−0.0951290	−	0.0798227i
$573$	5.22987	−	1.90352i	0.218481	−	0.0795206i
$574$	−0.215226	−	1.22061i	−0.00898335	−	0.0509471i
$575$	−0.546911	+	3.10169i	−0.0228078	+	0.129349i
$576$	2.71209	+	0.987121i	0.113004	+	0.0411300i
$577$	20.6463	+	35.7605i	0.859518	+	1.48873i	0.872389	+	0.488812i	$0.162570\pi$
$577$	20.6463	+	35.7605i	0.859518	+	1.48873i	−0.0128704	+	0.999917i	$0.504097\pi$
$578$	8.41088	−	14.5681i	0.349847	−	0.605952i
$579$	3.04565	−	2.55561i	0.126573	−	0.106207i
$580$	5.59047	−	4.69096i	0.232131	−	0.194781i
$581$	0.687863	−	1.19141i	0.0285374	−	0.0494282i
$582$	−1.69344	−	2.93312i	−0.0701952	−	0.121582i
$583$	3.21018	+	1.16841i	0.132952	+	0.0483906i
$584$	−2.35245	+	13.3414i	−0.0973451	+	0.552071i
$585$	3.91160	+	22.1838i	0.161725	+	0.917186i
$586$	−20.2146	+	7.35753i	−0.835059	+	0.303937i
$587$	15.6733	+	13.1514i	0.646905	+	0.542818i	0.906130	−	0.422999i	$-0.139023\pi$
$587$	15.6733	+	13.1514i	0.646905	+	0.542818i	−0.259225	+	0.965817i	$0.583467\pi$
$588$	−2.34904			−0.0968726
$589$	−20.3127	+	28.0992i	−0.836972	+	1.15781i
$590$	−37.3170			−1.53632
$591$	6.40365	+	5.37330i	0.263411	+	0.221028i
$592$	−9.11350	+	3.31704i	−0.374563	+	0.136330i
$593$	1.46202	+	8.29155i	0.0600382	+	0.340493i	1.00000		0.000787105i	$-0.000250543\pi$
$593$	1.46202	+	8.29155i	0.0600382	+	0.340493i	−0.939962	+	0.341280i	$0.889139\pi$
$594$	0.344883	−	1.95593i	0.0141507	−	0.0802528i
$595$	−0.203875	−	0.0742044i	−0.00835806	−	0.00304208i
$596$	3.09741	+	5.36487i	0.126875	+	0.219753i
$597$	−0.619769	+	1.07347i	−0.0253654	+	0.0439342i
$598$	−3.75986	+	3.15490i	−0.153752	+	0.129013i
$599$	0.140254	−	0.117687i	0.00573061	−	0.00480855i	−0.639918	−	0.768443i	$-0.721032\pi$
$599$	0.140254	−	0.117687i	0.00573061	−	0.00480855i	0.645648	+	0.763635i	$0.276587\pi$
$600$	−0.321534	+	0.556913i	−0.0131266	+	0.0227359i
$601$	2.91572	+	5.05018i	0.118935	+	0.206001i	0.919346	−	0.393450i	$-0.128719\pi$
$601$	2.91572	+	5.05018i	0.118935	+	0.206001i	−0.800411	+	0.599452i	$0.795385\pi$
$602$	−0.0525217	−	0.0191163i	−0.00214062	−	0.000779123i
$603$	−3.37287	+	19.1285i	−0.137354	+	0.778973i
$604$	0.253708	+	1.43885i	0.0103232	+	0.0585460i
$605$	2.46941	−	0.898793i	0.100396	−	0.0365411i
$606$	−0.556003	−	0.466542i	−0.0225861	−	0.0189520i
$607$	−2.17029			−0.0880895			−0.0440448	−	0.999030i	$-0.514024\pi$
$607$	−2.17029			−0.0880895			−0.0440448	+	0.999030i	$0.514024\pi$
$608$	−0.314464	−	4.34754i	−0.0127532	−	0.176316i
$609$	0.183246			0.00742550
$610$	16.9083	+	14.1878i	0.684598	+	0.574446i
$611$	−5.56065	+	2.02391i	−0.224960	+	0.0818787i
$612$	−0.211583	−	1.19995i	−0.00855274	−	0.0485050i
$613$	−0.988707	+	5.60724i	−0.0399335	+	0.226474i	−0.998243	−	0.0592593i	$-0.981126\pi$
$613$	−0.988707	+	5.60724i	−0.0399335	+	0.226474i	0.958309	+	0.285734i	$0.0922372\pi$
$614$	23.0497	+	8.38942i	0.930212	+	0.338569i
$615$	2.80993	+	4.86694i	0.113307	+	0.196254i
$616$	−0.0977794	+	0.169359i	−0.00393965	+	0.00682367i
$617$	−13.2206	+	11.0934i	−0.532242	+	0.446604i	−0.868875	−	0.495032i	$-0.835156\pi$
$617$	−13.2206	+	11.0934i	−0.532242	+	0.446604i	0.336633	+	0.941636i	$0.390712\pi$
$618$	1.08899	−	0.913770i	0.0438056	−	0.0367572i
$619$	15.3561	−	26.5976i	0.617216	−	1.06905i	−0.372776	−	0.927921i	$-0.621594\pi$
$619$	15.3561	−	26.5976i	0.617216	−	1.06905i	0.989991	−	0.141127i	$-0.0450727\pi$
$620$	−10.4517	−	18.1028i	−0.419748	−	0.727026i
$621$	−3.08424	−	1.12257i	−0.123766	−	0.0450473i
$622$	−0.446255	+	2.53084i	−0.0178932	+	0.101477i
$623$	−0.335699	−	1.90384i	−0.0134495	−	0.0762758i
$624$	−0.941703	+	0.342752i	−0.0376983	+	0.0137211i
$625$	−23.6685	−	19.8602i	−0.946738	−	0.794408i
$626$	11.9788			0.478770
$627$	−1.42624	+	0.359227i	−0.0569584	+	0.0143462i
$628$	−3.16856			−0.126439
$629$	3.13650	+	2.63184i	0.125061	+	0.104938i
$630$	1.39377	−	0.507290i	0.0555290	−	0.0202109i
$631$	8.56663	+	48.5838i	0.341032	+	1.93409i	0.356715	+	0.934213i	$0.383897\pi$
$631$	8.56663	+	48.5838i	0.341032	+	1.93409i	−0.0156829	+	0.999877i	$0.504992\pi$
$632$	1.27942	−	7.25597i	0.0508927	−	0.288627i
$633$	1.72487	+	0.627802i	0.0685574	+	0.0249529i
$634$	4.87064	+	8.43620i	0.193438	+	0.335044i
$635$	7.74082	−	13.4075i	0.307185	−	0.532060i
$636$	0.883016	−	0.740938i	0.0350138	−	0.0293801i
$637$	−15.8391	+	13.2906i	−0.627567	+	0.526591i
$638$	−1.38853	+	2.40501i	−0.0549725	+	0.0952152i
$639$	2.49353	+	4.31893i	0.0986427	+	0.170854i
$640$	2.46941	+	0.898793i	0.0976122	+	0.0355279i
$641$	1.20986	−	6.86148i	0.0477867	−	0.271012i	−0.951547	−	0.307502i	$-0.900507\pi$
$641$	1.20986	−	6.86148i	0.0477867	−	0.271012i	0.999334	+	0.0364905i	$0.0116179\pi$
$642$	−0.867623	−	4.92053i	−0.0342423	−	0.194198i
$643$	−0.360544	+	0.131227i	−0.0142185	+	0.00517510i	−0.349120	−	0.937078i	$-0.613519\pi$
$643$	−0.360544	+	0.131227i	−0.0142185	+	0.00517510i	0.334901	+	0.942253i	$0.391297\pi$
$644$	0.247567	+	0.207733i	0.00975549	+	0.00818583i
$645$	0.253428			0.00997871
$646$	−1.52314	+	1.03268i	−0.0599272	+	0.0406304i
$647$	−16.5861			−0.652066			−0.326033	−	0.945358i	$-0.605712\pi$
$647$	−16.5861			−0.652066			−0.326033	+	0.945358i	$0.605712\pi$
$648$	6.11939	+	5.13478i	0.240392	+	0.201713i
$649$	13.3439	−	4.85680i	0.523795	−	0.190646i
$650$	0.982909	+	5.57435i	0.0385529	+	0.218644i
$651$	0.0911434	−	0.516900i	0.00357219	−	0.0202589i
$652$	−11.6907	−	4.25508i	−0.457845	−	0.166642i
$653$	−20.6584	−	35.7814i	−0.808425	−	1.40023i	−0.913954	−	0.405818i	$-0.866987\pi$
$653$	−20.6584	−	35.7814i	−0.808425	−	1.40023i	0.105529	−	0.994416i	$-0.466347\pi$
$654$	−3.05103	+	5.28454i	−0.119305	+	0.206642i
$655$	−25.9055	+	21.7373i	−1.01221	+	0.849346i
$656$	4.85513	−	4.07394i	0.189561	−	0.159060i
$657$	−19.5496	+	33.8610i	−0.762704	+	1.32104i
$658$	0.194819	+	0.337436i	0.00759482	+	0.0131546i
$659$	−9.07554	−	3.30323i	−0.353533	−	0.128675i	0.159148	−	0.987255i	$-0.449125\pi$
$659$	−9.07554	−	3.30323i	−0.353533	−	0.128675i	−0.512681	+	0.858579i	$0.671348\pi$
$660$	0.153975	−	0.873234i	0.00599345	−	0.0339906i
$661$	5.44250	+	30.8660i	0.211689	+	1.20055i	0.886561	+	0.462612i	$0.153088\pi$
$661$	5.44250	+	30.8660i	0.211689	+	1.20055i	−0.674872	+	0.737935i	$0.735801\pi$
$662$	26.7973	−	9.75341i	1.04151	−	0.379077i
$663$	0.324096	+	0.271949i	0.0125869	+	0.0105616i
$664$	7.03484			0.273005
$665$	−1.55994	−	1.60765i	−0.0604918	−	0.0623419i
$666$	−27.9910			−1.08463
$667$	3.51561	+	2.94994i	0.136125	+	0.114222i
$668$	1.79541	−	0.653476i	0.0694665	−	0.0252837i
$669$	0.235544	+	1.33584i	0.00910665	+	0.0516464i
$670$	−3.07107	+	17.4169i	−0.118646	+	0.672873i
$671$	−7.89267	−	2.87270i	−0.304693	−	0.110899i
$672$	0.0329927	+	0.0571451i	0.00127272	+	0.00220442i
$673$	−7.42573	+	12.8617i	−0.286241	+	0.495783i	−0.972909	−	0.231187i	$-0.925739\pi$
$673$	−7.42573	+	12.8617i	−0.286241	+	0.495783i	0.686669	+	0.726971i	$0.259072\pi$
$674$	17.9838	−	15.0902i	0.692709	−	0.581252i
$675$	−2.89962	+	2.43307i	−0.111607	+	0.0936491i
$676$	2.08954	−	3.61918i	0.0803667	−	0.139199i
$677$	13.8791	+	24.0392i	0.533415	+	0.923902i	0.999238	+	0.0390245i	$0.0124250\pi$
$677$	13.8791	+	24.0392i	0.533415	+	0.923902i	−0.465823	+	0.884878i	$0.654242\pi$
$678$	2.33557	+	0.850076i	0.0896969	+	0.0326470i
$679$	−0.340860	+	1.93311i	−0.0130810	+	0.0741861i
$680$	−0.192651	−	1.09258i	−0.00738782	−	0.0418984i
$681$	−7.42685	+	2.70315i	−0.284598	+	0.103585i
$682$	6.09342	+	5.11298i	0.233329	+	0.195786i
$683$	−18.0343			−0.690064			−0.345032	−	0.938591i	$-0.612132\pi$
$683$	−18.0343			−0.690064			−0.345032	+	0.938591i	$0.612132\pi$
$684$	3.43869	−	12.1013i	0.131482	−	0.462706i
$685$	−6.19987			−0.236885
$686$	2.09157	+	1.75503i	0.0798564	+	0.0670074i
$687$	−1.48405	+	0.540151i	−0.0566201	+	0.0206080i
$688$	−0.0496301	−	0.281467i	−0.00189213	−	0.0107308i
$689$	1.76186	−	9.99200i	0.0671215	−	0.380665i
$690$	−1.37697	−	0.501177i	−0.0524204	−	0.0190795i
$691$	−13.9387	−	24.1425i	−0.530253	−	0.918425i	−0.999377	−	0.0352926i	$-0.988764\pi$
$691$	−13.9387	−	24.1425i	−0.530253	−	0.918425i	0.469124	−	0.883132i	$-0.344570\pi$
$692$	−0.313911	+	0.543710i	−0.0119331	+	0.0206688i
$693$	−0.432365	+	0.362797i	−0.0164242	+	0.0137815i
$694$	23.5801	−	19.7860i	0.895087	−	0.751067i
$695$	2.08998	−	3.61995i	0.0792774	−	0.137312i
$696$	0.468518	+	0.811498i	0.0177591	+	0.0307597i
$697$	−2.51434	−	0.915146i	−0.0952376	−	0.0346636i
$698$	0.347393	−	1.97016i	0.0131490	−	0.0745717i
$699$	0.715622	+	4.05850i	0.0270673	+	0.153506i
$700$	0.350227	−	0.127472i	0.0132373	−	0.00481799i
$701$	−26.7095	−	22.4119i	−1.00880	−	0.846486i	−0.0206236	−	0.999787i	$-0.506565\pi$
$701$	−26.7095	−	22.4119i	−1.00880	−	0.846486i	−0.988180	+	0.153301i	$0.951010\pi$
$702$	−5.89874			−0.222634
$703$	17.2869	+	38.5782i	0.651986	+	1.45501i
$704$	−1.00000			−0.0376889
$705$	−1.35337	−	1.13561i	−0.0509708	−	0.0427695i
$706$	12.5654	−	4.57344i	0.472906	−	0.172124i
$707$	0.0730466	+	0.414268i	0.00274720	+	0.0155801i
$708$	0.832030	−	4.71868i	0.0312696	−	0.177339i
$709$	−25.9238	−	9.43548i	−0.973588	−	0.354357i	−0.194244	−	0.980953i	$-0.562225\pi$
$709$	−25.9238	−	9.43548i	−0.973588	−	0.354357i	−0.779344	+	0.626596i	$0.784448\pi$
$710$	2.27041	+	3.93247i	0.0852071	+	0.147583i
$711$	10.6324	−	18.4159i	0.398747	−	0.690650i
$712$	7.57279	−	6.35432i	0.283802	−	0.238138i
$713$	10.0698	−	8.44957i	0.377117	−	0.316439i
$714$	0.0139287	−	0.0241252i	0.000521268	−	0.000902863i
$715$	−3.90243	−	6.75921i	−0.145943	−	0.252780i
$716$	12.4885	+	4.54544i	0.466717	+	0.169871i
$717$	1.49850	−	8.49841i	0.0559625	−	0.317379i
$718$	−1.67945	−	9.52466i	−0.0626767	−	0.355457i
$719$	−32.7530	+	11.9211i	−1.22148	+	0.444582i	−0.870671	−	0.491865i	$-0.836315\pi$
$719$	−32.7530	+	11.9211i	−1.22148	+	0.444582i	−0.350808	+	0.936447i	$0.614093\pi$
$720$	5.81006	+	4.87522i	0.216528	+	0.181689i
$721$	−0.823903			−0.0306838
$722$	−18.8022	+	2.73429i	−0.699746	+	0.101760i
$723$	3.70387			0.137748
$724$	−11.9432	−	10.0216i	−0.443866	−	0.372448i
$725$	4.97345	−	1.81019i	0.184709	−	0.0672287i
$726$	0.0585924	+	0.332294i	0.00217457	+	0.0123326i
$727$	−0.0421448	+	0.239015i	−0.00156306	+	0.00886458i	−0.985579	−	0.169214i	$-0.945877\pi$
$727$	−0.0421448	+	0.239015i	−0.00156306	+	0.00886458i	0.984016	+	0.178079i	$0.0569882\pi$
$728$	0.545784	+	0.198649i	0.0202281	+	0.00736242i
$729$	10.5225	+	18.2255i	0.389721	+	0.675017i
$730$	−17.8003	+	30.8311i	−0.658820	+	1.14111i
$731$	−0.0924318	+	0.0775595i	−0.00341871	+	0.00286864i
$732$	−2.17102	+	1.82170i	−0.0802431	+	0.0673319i
$733$	12.6128	−	21.8461i	0.465866	−	0.806903i	−0.533374	−	0.845879i	$-0.679076\pi$
$733$	12.6128	−	21.8461i	0.465866	−	0.806903i	0.999240	+	0.0389762i	$0.0124096\pi$
$734$	12.5640	+	21.7615i	0.463747	+	0.803233i
$735$	−5.80074	−	2.11130i	−0.213964	−	0.0778764i
$736$	−0.286966	+	1.62747i	−0.0105777	+	0.0599892i
$737$	−1.16864	−	6.62769i	−0.0430474	−	0.244134i
$738$	17.1890	−	6.25629i	0.632737	−	0.230297i
$739$	−17.6937	−	14.8468i	−0.650873	−	0.546148i	0.256463	−	0.966554i	$-0.417443\pi$
$739$	−17.6937	−	14.8468i	−0.650873	−	0.546148i	−0.907336	+	0.420407i	$0.861887\pi$
$740$	−25.4864			−0.936897
$741$	1.78626	+	3.98631i	0.0656199	+	0.146441i
$742$	−0.668069			−0.0245256
$743$	−30.8708	−	25.9037i	−1.13254	−	0.950315i	−0.133372	−	0.991066i	$-0.542580\pi$
$743$	−30.8708	−	25.9037i	−1.13254	−	0.950315i	−0.999169	+	0.0407515i	$0.987025\pi$
$744$	2.52211	−	0.917972i	0.0924649	−	0.0336545i
$745$	2.82688	+	16.0320i	0.103569	+	0.587367i
$746$	1.42623	−	8.08855i	0.0522180	−	0.296143i
$747$	19.0791	+	6.94424i	0.698069	+	0.254076i
$748$	0.211087	+	0.365614i	0.00771812	+	0.0133682i
$749$	−1.44790	+	2.50783i	−0.0529050	+	0.0916341i
$750$	2.10173	−	1.76356i	0.0767442	−	0.0643960i
$751$	0.595751	−	0.499894i	0.0217393	−	0.0182414i	−0.631853	−	0.775088i	$-0.717705\pi$
$751$	0.595751	−	0.499894i	0.0217393	−	0.0182414i	0.653593	+	0.756847i	$0.273261\pi$
$752$	−0.996214	+	1.72549i	−0.0363282	+	0.0629223i
$753$	−1.66127	−	2.87740i	−0.0605399	−	0.104858i
$754$	7.75048	+	2.82095i	0.282256	+	0.102733i
$755$	−0.666719	+	3.78115i	−0.0242644	+	0.137610i
$756$	0.0674450	+	0.382500i	0.00245295	+	0.0139114i
$757$	43.0635	−	15.6738i	1.56517	−	0.569675i	0.593255	−	0.805015i	$-0.297843\pi$
$757$	43.0635	−	15.6738i	1.56517	−	0.569675i	0.971913	+	0.235340i	$0.0756204\pi$
$758$	22.4879	+	18.8696i	0.816796	+	0.685373i
$759$	0.557611			0.0202400
$760$	3.13100	−	11.0185i	0.113573	−	0.399684i
$761$	40.6464			1.47343			0.736716	−	0.676203i	$-0.236376\pi$
$761$	40.6464			1.47343			0.736716	+	0.676203i	$0.236376\pi$
$762$	1.52277	+	1.27775i	0.0551641	+	0.0462881i
$763$	3.32330	−	1.20958i	0.120311	−	0.0437898i
$764$	−2.86421	−	16.2437i	−0.103623	−	0.587678i
$765$	0.556018	−	3.15334i	0.0201029	−	0.114009i
$766$	1.87093	+	0.680964i	0.0675996	+	0.0246042i
$767$	−21.0875	−	36.5246i	−0.761426	−	1.31883i
$768$	−0.168710	+	0.292214i	−0.00608780	+	0.0105444i
$769$	1.87892	−	1.57660i	0.0677554	−	0.0568536i	−0.608281	−	0.793722i	$-0.708141\pi$
$769$	1.87892	−	1.57660i	0.0677554	−	0.0568536i	0.676036	+	0.736868i	$0.263696\pi$
$770$	−0.393677	+	0.330334i	−0.0141871	+	0.0119044i
$771$	3.12202	−	5.40749i	0.112437	−	0.194746i
$772$	−5.89150	−	10.2044i	−0.212040	−	0.367264i
$773$	−7.36305	−	2.67993i	−0.264831	−	0.0963905i	0.206192	−	0.978512i	$-0.433893\pi$
$773$	−7.36305	−	2.67993i	−0.264831	−	0.0963905i	−0.471023	+	0.882121i	$0.656115\pi$
$774$	0.143240	−	0.812354i	0.00514865	−	0.0291995i
$775$	−2.63247	−	14.9295i	−0.0945610	−	0.536282i
$776$	−9.43222	+	3.43305i	−0.338597	+	0.123239i
$777$	−0.490232	−	0.411354i	−0.0175870	−	0.0147572i
$778$	10.4180			0.373503
$779$	−19.2384	−	19.8268i	−0.689286	−	0.710367i
$780$	−2.63352			−0.0942950
$781$	−1.32367	−	1.11069i	−0.0473647	−	0.0397437i
$782$	0.655599	−	0.238619i	0.0234442	−	0.00853299i
$783$	0.957763	+	5.43174i	0.0342277	+	0.194115i
$784$	−1.20890	+	6.85599i	−0.0431749	+	0.244857i
$785$	−7.82448	−	2.84788i	−0.279268	−	0.101645i
$786$	−2.17105	−	3.76037i	−0.0774389	−	0.134128i
$787$	−15.4553	+	26.7693i	−0.550922	+	0.954224i	0.447287	+	0.894391i	$0.352390\pi$
$787$	−15.4553	+	26.7693i	−0.550922	+	0.954224i	−0.998208	+	0.0598336i	$0.980943\pi$
$788$	18.9783	−	15.9247i	0.676073	−	0.567293i
$789$	1.73518	−	1.45599i	0.0617741	−	0.0518346i
$790$	9.68104	−	16.7681i	0.344436	−	0.596581i
$791$	−0.720250	−	1.24751i	−0.0256091	−	0.0443563i
$792$	−2.71209	−	0.987121i	−0.0963700	−	0.0350758i
$793$	−4.33177	+	24.5667i	−0.153826	+	0.872389i
$794$	3.62450	+	20.5556i	0.128629	+	0.729490i
$795$	2.84648	−	1.03603i	0.100954	−	0.0367444i
$796$	2.81412	+	2.36133i	0.0997439	+	0.0836951i
$797$	−41.2639			−1.46164			−0.730822	−	0.682568i	$-0.760863\pi$
$797$	−41.2639			−1.46164			−0.730822	+	0.682568i	$0.760863\pi$
$798$	0.238066	−	0.161407i	0.00842743	−	0.00571376i
$799$	0.841153			0.0297579
$800$	1.45996	+	1.22505i	0.0516173	+	0.0433120i
$801$	26.8106	−	9.75825i	0.947305	−	0.344791i
$802$	1.85227	+	10.5048i	0.0654060	+	0.370936i
$803$	2.35245	−	13.3414i	0.0830161	−	0.470808i
$804$	−2.13387	−	0.776664i	−0.0752557	−	0.0273908i
$805$	0.424635	+	0.735490i	0.0149664	+	0.0259226i
$806$	11.8123	−	20.4595i	0.416070	−	0.720655i
$807$	6.61657	−	5.55196i	0.232914	−	0.195438i
$808$	−1.64781	+	1.38267i	−0.0579696	+	0.0486423i
$809$	6.76163	−	11.7115i	0.237726	−	0.411754i	−0.722335	−	0.691543i	$-0.756931\pi$
$809$	6.76163	−	11.7115i	0.237726	−	0.411754i	0.960061	+	0.279789i	$0.0902646\pi$
$810$	10.4962	+	18.1800i	0.368799	+	0.638778i
$811$	−1.81214	−	0.659566i	−0.0636329	−	0.0231605i	0.310008	−	0.950734i	$-0.399668\pi$
$811$	−1.81214	−	0.659566i	−0.0636329	−	0.0231605i	−0.373640	+	0.927574i	$0.621891\pi$
$812$	0.0943048	−	0.534829i	0.00330945	−	0.0187688i
$813$	1.16247	+	6.59270i	0.0407696	+	0.231216i
$814$	9.11350	−	3.31704i	0.319428	−	0.116262i
$815$	−25.0448	−	21.0151i	−0.877282	−	0.736127i
$816$	0.142450			0.00498675
$817$	−1.20808	+	0.304280i	−0.0422654	+	0.0106454i
$818$	−16.3783			−0.572654
$819$	1.28412	+	1.07751i	0.0448710	+	0.0376512i
$820$	15.6510	−	5.69648i	0.546555	−	0.198930i
$821$	0.657772	+	3.73041i	0.0229564	+	0.130192i	0.994132	−	0.108172i	$-0.0344998\pi$
$821$	0.657772	+	3.73041i	0.0229564	+	0.130192i	−0.971176	+	0.238364i	$0.923389\pi$
$822$	0.138234	−	0.783965i	0.00482147	−	0.0273439i
$823$	−30.2719	−	11.0181i	−1.05521	−	0.384065i	−0.244584	−	0.969628i	$-0.578651\pi$
$823$	−30.2719	−	11.0181i	−1.05521	−	0.384065i	−0.810627	+	0.585563i	$0.800874\pi$
$824$	−2.10654	−	3.64863i	−0.0733846	−	0.127106i
$825$	0.321534	−	0.556913i	0.0111944	−	0.0193892i
$826$	−2.12730	+	1.78502i	−0.0740184	+	0.0621088i
$827$	29.8703	−	25.0641i	1.03869	−	0.871565i	0.0468314	−	0.998903i	$-0.485088\pi$
$827$	29.8703	−	25.0641i	1.03869	−	0.871565i	0.991859	+	0.127338i	$0.0406432\pi$
$828$	−2.38478	+	4.13057i	−0.0828770	+	0.143547i
$829$	28.0836	+	48.6422i	0.975384	+	1.68941i	0.678662	+	0.734451i	$0.262560\pi$
$829$	28.0836	+	48.6422i	0.975384	+	1.68941i	0.296722	+	0.954964i	$0.404107\pi$
$830$	17.3719	+	6.32287i	0.602989	+	0.219470i
$831$	−1.11812	+	6.34119i	−0.0387872	+	0.219973i
$832$	0.515736	+	2.92488i	0.0178799	+	0.101402i
$833$	2.76183	−	1.00522i	0.0956917	−	0.0348289i
$834$	0.411139	+	0.344986i	0.0142366	+	0.0119459i
$835$	5.02095			0.173757
$836$	0.314464	+	4.34754i	0.0108760	+	0.150363i
$837$	15.7982			0.546067
$838$	19.1683	+	16.0841i	0.662159	+	0.555617i
$839$	7.61641	−	2.77215i	0.262948	−	0.0957052i	−0.207182	−	0.978302i	$-0.566429\pi$
$839$	7.61641	−	2.77215i	0.262948	−	0.0957052i	0.470130	+	0.882597i	$0.344207\pi$
$840$	0.0301111	+	0.170769i	0.00103893	+	0.00589208i
$841$	−3.69661	+	20.9645i	−0.127469	+	0.722914i
$842$	−10.1712	−	3.70201i	−0.350522	−	0.127580i
$843$	−2.56739	−	4.44685i	−0.0884256	−	0.153158i
$844$	2.72001	−	4.71119i	0.0936265	−	0.162166i
$845$	8.41282	−	7.05920i	0.289410	−	0.242844i
$846$	−4.40510	+	3.69631i	−0.151450	+	0.127082i
$847$	0.0977794	−	0.169359i	0.00335974	−	0.00581924i
$848$	−1.70810	−	2.95852i	−0.0586564	−	0.101596i
$849$	−9.42282	−	3.42963i	−0.323390	−	0.117704i
$850$	0.139717	−	0.792373i	0.00479224	−	0.0271782i
$851$	−2.78311	−	15.7838i	−0.0954038	−	0.541062i
$852$	−0.547877	+	0.199411i	−0.0187700	+	0.00683171i
$853$	−4.52016	−	3.79286i	−0.154767	−	0.129865i	0.562116	−	0.827058i	$-0.309987\pi$
$853$	−4.52016	−	3.79286i	−0.154767	−	0.129865i	−0.716883	+	0.697193i	$0.754432\pi$
$854$	1.64254			0.0562065
$855$	19.3682	−	26.7926i	0.662377	−	0.916286i
$856$	−14.8078			−0.506119
$857$	20.4094	+	17.1255i	0.697172	+	0.584996i	0.920967	−	0.389640i	$-0.127400\pi$
$857$	20.4094	+	17.1255i	0.697172	+	0.584996i	−0.223796	+	0.974636i	$0.571845\pi$
$858$	0.941703	−	0.342752i	0.0321492	−	0.0117014i
$859$	1.26394	+	7.16818i	0.0431252	+	0.244575i	0.998748	−	0.0500167i	$-0.0159275\pi$
$859$	1.26394	+	7.16818i	0.0431252	+	0.244575i	−0.955623	+	0.294592i	$0.904816\pi$
$860$	0.130423	−	0.739665i	0.00444738	−	0.0252224i
$861$	0.392989	+	0.143036i	0.0133930	+	0.00487467i
$862$	−8.11434	−	14.0545i	−0.276376	−	0.478697i
$863$	15.9517	−	27.6291i	0.543002	−	0.940507i	−0.455728	−	0.890119i	$-0.650621\pi$
$863$	15.9517	−	27.6291i	0.543002	−	0.940507i	0.998730	−	0.0503876i	$-0.0160457\pi$
$864$	−1.52144	+	1.27664i	−0.0517606	+	0.0434323i
$865$	−1.26386	+	1.06050i	−0.0429725	+	0.0360583i
$866$	18.3671	−	31.8127i	0.624138	−	1.08104i
$867$	2.83800	+	4.91556i	0.0963835	+	0.166941i
$868$	−1.46174	−	0.532030i	−0.0496147	−	0.0180583i
$869$	−1.27942	+	7.25597i	−0.0434015	+	0.246142i
$870$	0.427597	+	2.42503i	0.0144969	+	0.0822161i
$871$	−18.7825	+	6.83628i	−0.636421	+	0.231638i
$872$	13.8535	+	11.6245i	0.469139	+	0.393654i
$873$	−28.9699			−0.980482
$874$	7.16572	+	0.735817i	0.242384	+	0.0248894i
$875$	−1.59012			−0.0537557
$876$	−3.50167	−	2.93825i	−0.118310	−	0.0992742i
$877$	16.4500	−	5.98730i	0.555476	−	0.202177i	−0.0490017	−	0.998799i	$-0.515604\pi$
$877$	16.4500	−	5.98730i	0.555476	−	0.202177i	0.604478	+	0.796622i	$0.293382\pi$
$878$	−3.44149	−	19.5177i	−0.116145	−	0.658689i
$879$	1.26044	−	7.14830i	0.0425135	−	0.241106i
$880$	−2.46941	−	0.898793i	−0.0832439	−	0.0302983i
$881$	−12.9725	−	22.4690i	−0.437053	−	0.756998i	0.560408	−	0.828217i	$-0.310644\pi$
$881$	−12.9725	−	22.4690i	−0.437053	−	0.756998i	−0.997461	+	0.0712188i	$0.977311\pi$
$882$	−10.0463	+	17.4008i	−0.338278	+	0.585914i
$883$	39.0554	−	32.7713i	1.31432	−	1.10284i	0.326841	−	0.945079i	$-0.394016\pi$
$883$	39.0554	−	32.7713i	1.31432	−	1.10284i	0.987477	−	0.157764i	$-0.0504286\pi$
$884$	0.960513	−	0.805966i	0.0323056	−	0.0271076i
$885$	6.29575	−	10.9046i	0.211629	−	0.366552i
$886$	0.546590	+	0.946722i	0.0183631	+	0.0318058i
$887$	23.0222	+	8.37939i	0.773010	+	0.281353i	0.698255	−	0.715849i	$-0.253960\pi$
$887$	23.0222	+	8.37939i	0.773010	+	0.281353i	0.0747550	+	0.997202i	$0.476183\pi$
$888$	0.568252	−	3.22271i	0.0190693	−	0.108147i
$889$	−0.200058	−	1.13459i	−0.00670974	−	0.0380528i
$890$	24.4116	−	8.88509i	0.818278	−	0.297829i
$891$	−6.11939	−	5.13478i	−0.205007	−	0.172021i
$892$	4.02004			0.134601
$893$	7.81493	+	3.78848i	0.261517	+	0.126777i
$894$	−2.09025			−0.0699085
$895$	26.7538	+	22.4491i	0.894282	+	0.750392i
$896$	0.183765	−	0.0668851i	0.00613917	−	0.00223447i
$897$	−0.287580	−	1.63095i	−0.00960202	−	0.0544557i
$898$	1.27074	−	7.20675i	0.0424053	−	0.240492i
$899$	−20.7577	−	7.55517i	−0.692307	−	0.251979i
$900$	2.75026	+	4.76360i	0.0916755	+	0.158787i
$901$	−0.721117	+	1.24901i	−0.0240239	+	0.0416106i
$902$	−4.85513	+	4.07394i	−0.161658	+	0.135647i
$903$	0.0144470	−	0.0121225i	0.000480766	−	0.000403410i
$904$	3.68303	−	6.37920i	0.122496	−	0.212169i
$905$	−20.4855	−	35.4819i	−0.680960	−	1.17946i
$906$	−0.463256	−	0.168611i	−0.0153906	−	0.00560174i
$907$	2.37250	−	13.4551i	0.0787775	−	0.446769i	−0.919749	−	0.392507i	$-0.871608\pi$
$907$	2.37250	−	13.4551i	0.0787775	−	0.446769i	0.998527	−	0.0542628i	$-0.0172809\pi$
$908$	4.06741	+	23.0674i	0.134982	+	0.765520i
$909$	−5.83387	+	2.12335i	−0.193497	+	0.0704272i
$910$	1.16922	+	0.981093i	0.0387593	+	0.0325229i
$911$	7.52526			0.249323			0.124661	−	0.992199i	$-0.460216\pi$
$911$	7.52526			0.249323			0.124661	+	0.992199i	$0.460216\pi$
$912$	1.32347	+	0.641583i	0.0438244	+	0.0212449i
$913$	−7.03484			−0.232819
$914$	14.9607	+	12.5535i	0.494857	+	0.415234i
$915$	−6.99847	+	2.54723i	−0.231362	+	0.0842090i
$916$	0.812761	+	4.60940i	0.0268544	+	0.152299i
$917$	−0.436996	+	2.47833i	−0.0144309	+	0.0818415i
$918$	0.787916	+	0.286778i	0.0260051	+	0.00946508i
$919$	16.7445	+	29.0023i	0.552350	+	0.956698i	0.998104	+	0.0615426i	$0.0196020\pi$
$919$	16.7445	+	29.0023i	0.552350	+	0.956698i	−0.445755	+	0.895155i	$0.647065\pi$
$920$	−2.17139	+	3.76097i	−0.0715887	+	0.123995i
$921$	−6.34023	+	5.32008i	−0.208918	+	0.175303i
$922$	27.8543	−	23.3725i	0.917332	−	0.769733i
$923$	−2.56598	+	4.44441i	−0.0844604	+	0.146290i
$924$	−0.0329927	−	0.0571451i	−0.00108538	−	0.00187994i
$925$	−17.3689	−	6.32175i	−0.571085	−	0.207858i
$926$	−4.02180	+	22.8088i	−0.132165	+	0.749543i
$927$	−2.11148	−	11.9748i	−0.0693502	−	0.393304i
$928$	2.60959	−	0.949812i	0.0856639	−	0.0311791i
$929$	−37.1529	−	31.1749i	−1.21895	−	1.02282i	−0.998879	−	0.0473318i	$-0.984928\pi$
$929$	−37.1529	−	31.1749i	−1.21895	−	1.02282i	−0.220066	−	0.975485i	$-0.570627\pi$
$930$	7.05319			0.231283
$931$	30.1869	+	3.09976i	0.989334	+	0.101591i
$932$	12.2136			0.400069
$933$	−0.664259	−	0.557379i	−0.0217469	−	0.0182478i
$934$	33.9382	−	12.3525i	1.11049	−	0.404186i
$935$	0.192651	+	1.09258i	0.00630035	+	0.0357311i
$936$	−1.48849	+	8.44165i	−0.0486528	+	0.275924i
$937$	−7.24855	−	2.63826i	−0.236800	−	0.0861881i	0.220894	−	0.975298i	$-0.429102\pi$
$937$	−7.24855	−	2.63826i	−0.236800	−	0.0861881i	−0.457694	+	0.889110i	$0.651325\pi$
$938$	0.658049	+	1.13977i	0.0214861	+	0.0372150i
$939$	−2.02095	+	3.50038i	−0.0659511	+	0.114231i
$940$	−4.01093	+	3.36557i	−0.130822	+	0.109773i
$941$	2.16276	−	1.81477i	0.0705040	−	0.0591599i	−0.606855	−	0.794813i	$-0.707569\pi$
$941$	2.16276	−	1.81477i	0.0705040	−	0.0591599i	0.677359	+	0.735653i	$0.263125\pi$
$942$	0.534567	−	0.925897i	0.0174171	−	0.0301674i
$943$	5.23694	+	9.07064i	0.170538	+	0.295381i
$944$	−13.3439	−	4.85680i	−0.434308	−	0.158075i
$945$	−0.177238	+	1.00517i	−0.00576557	+	0.0326982i
$946$	0.0496301	+	0.281467i	0.00161362	+	0.00915127i
$947$	−17.5830	+	6.39967i	−0.571369	+	0.207961i	−0.611516	−	0.791232i	$-0.709440\pi$
$947$	−17.5830	+	6.39967i	−0.571369	+	0.207961i	0.0401463	+	0.999194i	$0.487218\pi$
$948$	1.90445	+	1.59802i	0.0618535	+	0.0519013i
$949$	−40.2353			−1.30609
$950$	4.86685	−	6.73245i	0.157901	−	0.218430i
$951$	−3.28690			−0.106585
$952$	−0.0632446	−	0.0530685i	−0.00204977	−	0.00171996i
$953$	39.8841	−	14.5166i	1.29197	−	0.470239i	0.397598	−	0.917560i	$-0.369844\pi$
$953$	39.8841	−	14.5166i	1.29197	−	0.470239i	0.894374	+	0.447320i	$0.147622\pi$
$954$	−1.71211	−	9.70987i	−0.0554317	−	0.314369i
$955$	7.52685	−	42.6869i	0.243563	−	1.38131i
$956$	−24.0326	−	8.74716i	−0.777271	−	0.282904i
$957$	−0.468518	−	0.811498i	−0.0151450	−	0.0262320i
$958$	11.6340	−	20.1507i	0.375878	−	0.651039i
$959$	−0.353432	+	0.296565i	−0.0114129	+	0.00957657i
$960$	−0.679255	+	0.569963i	−0.0219229	+	0.0183955i
$961$	−16.1361	+	27.9486i	−0.520521	+	0.901569i
$962$	−14.4021	−	24.9452i	−0.464343	−	0.804266i
$963$	−40.1600	−	14.6171i	−1.29414	−	0.471028i
$964$	1.90614	−	10.8103i	0.0613927	−	0.348175i
$965$	−5.37693	−	30.4941i	−0.173089	−	0.981639i
$966$	−0.102469	+	0.0372958i	−0.00329690	+	0.00119997i
$967$	34.9720	+	29.3450i	1.12462	+	0.943672i	0.998829	−	0.0483841i	$-0.0154072\pi$
$967$	34.9720	+	29.3450i	1.12462	+	0.943672i	0.125796	+	0.992056i	$0.459852\pi$
$968$	1.00000			0.0321412
$969$	−0.0447955	−	0.619308i	−0.00143904	−	0.0198950i
$970$	−26.3777			−0.846936
$971$	29.4222	+	24.6882i	0.944203	+	0.792281i	0.978312	−	0.207137i	$-0.0664147\pi$
$971$	29.4222	+	24.6882i	0.944203	+	0.792281i	−0.0341084	+	0.999418i	$0.510859\pi$
$972$	−8.13184	+	2.95975i	−0.260829	+	0.0949339i
$973$	−0.0540146	−	0.306332i	−0.00173163	−	0.00982056i
$974$	−5.46199	+	30.9765i	−0.175014	+	0.992551i
$975$	−1.79473	−	0.653229i	−0.0574774	−	0.0209201i
$976$	4.19960	+	7.27393i	0.134426	+	0.232833i
$977$	0.812353	−	1.40704i	0.0259895	−	0.0450151i	−0.852738	−	0.522339i	$-0.825060\pi$
$977$	0.812353	−	1.40704i	0.0259895	−	0.0450151i	0.878728	+	0.477324i	$0.158393\pi$
$978$	3.21574	−	2.69833i	0.102828	−	0.0862829i
$979$	−7.57279	+	6.35432i	−0.242027	+	0.203085i
$980$	−9.14739	+	15.8437i	−0.292203	+	0.506110i
$981$	26.0972	+	45.2017i	0.833221	+	1.44318i
$982$	−0.531580	−	0.193479i	−0.0169634	−	0.00617417i
$983$	3.66365	−	20.7776i	0.116852	−	0.662702i	−0.868964	−	0.494875i	$-0.835214\pi$
$983$	3.66365	−	20.7776i	0.116852	−	0.662702i	0.985816	−	0.167827i	$-0.0536750\pi$
$984$	0.371354	+	2.10605i	0.0118383	+	0.0671385i
$985$	61.1782	−	22.2671i	1.94930	−	0.709488i
$986$	−0.898115	−	0.753608i	−0.0286018	−	0.0239998i
$987$	−0.131471			−0.00418478
$988$	12.5539	−	3.16195i	0.399392	−	0.100595i
$989$	0.472319			0.0150189
$990$	−5.81006	−	4.87522i	−0.184656	−	0.154945i
$991$	−25.7570	+	9.37477i	−0.818197	+	0.297799i	−0.717005	−	0.697068i	$-0.754488\pi$
$991$	−25.7570	+	9.37477i	−0.818197	+	0.297799i	−0.101191	+	0.994867i	$0.532265\pi$
$992$	−1.38127	−	7.83354i	−0.0438552	−	0.248715i
$993$	−1.67088	+	9.47604i	−0.0530238	+	0.300713i
$994$	0.317534	+	0.115573i	0.0100716	+	0.00366575i
$995$	4.82689	+	8.36041i	0.153023	+	0.265043i
$996$	−1.18685	+	2.05568i	−0.0376067	+	0.0651368i
$997$	−43.5777	+	36.5660i	−1.38012	+	1.15806i	−0.410952	+	0.911657i	$0.634804\pi$
$997$	−43.5777	+	36.5660i	−1.38012	+	1.15806i	−0.969168	+	0.246401i	$0.920752\pi$
$998$	11.5469	−	9.68902i	0.365511	−	0.306701i
$999$	9.63100	−	16.6814i	0.304711	−	0.527776i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.d.111.3	✓	30
19.5	even	9		7942.2.a.ca.1.7		15
19.6	even	9	inner	418.2.j.d.177.3	yes	30
19.14	odd	18		7942.2.a.by.1.9		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.d.111.3	✓	30	1.1	even	1	trivial
418.2.j.d.177.3	yes	30	19.6	even	9	inner
7942.2.a.by.1.9		15	19.14	odd	18
7942.2.a.ca.1.7		15	19.5	even	9

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(-0.317071 + 0.115404i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.456329 + 2.58797i) q^{5} +(-0.317071 - 0.115404i) q^{6} +(0.0977794 + 0.169359i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.21092 + 1.85518i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(-0.317071 + 0.115404i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.456329 + 2.58797i) q^{5} +(-0.317071 - 0.115404i) q^{6} +(0.0977794 + 0.169359i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.21092 + 1.85518i) q^{9} +(-2.01309 + 1.68918i) q^{10} +(0.500000 - 0.866025i) q^{11} +(-0.168710 - 0.292214i) q^{12} +(-2.79089 - 1.01580i) q^{13} +(-0.0339584 + 0.192588i) q^{14} +(-0.153975 - 0.873234i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(0.323405 + 0.271369i) q^{17} -2.88615 q^{18} +(1.78245 + 3.97780i) q^{19} -2.62790 q^{20} +(-0.0505478 - 0.0424146i) q^{21} +(0.939693 - 0.342020i) q^{22} +(-0.286966 - 1.62747i) q^{23} +(0.0585924 - 0.332294i) q^{24} +(-1.79090 - 0.651835i) q^{25} +(-1.48500 - 2.57210i) q^{26} +(0.993052 - 1.72002i) q^{27} +(-0.149807 + 0.125703i) q^{28} +(-2.12735 + 1.78506i) q^{29} +(0.443352 - 0.767909i) q^{30} +(3.97719 + 6.88870i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(-0.0585924 + 0.332294i) q^{33} +(0.0733099 + 0.415761i) q^{34} +(-0.482916 + 0.175767i) q^{35} +(-2.21092 - 1.85518i) q^{36} +9.69839 q^{37} +(-1.19145 + 4.19291i) q^{38} +1.00214 q^{39} +(-2.01309 - 1.68918i) q^{40} +(-5.95570 + 2.16770i) q^{41} +(-0.0114583 - 0.0649830i) q^{42} +(-0.0496301 + 0.281467i) q^{43} +(0.939693 + 0.342020i) q^{44} +(-3.79225 - 6.56837i) q^{45} +(0.826286 - 1.43117i) q^{46} +(1.52629 - 1.28071i) q^{47} +(0.258479 - 0.216889i) q^{48} +(3.48088 - 6.02906i) q^{49} +(-0.952919 - 1.65050i) q^{50} +(-0.133859 - 0.0487208i) q^{51} +(0.515736 - 2.92488i) q^{52} +(0.593217 + 3.36430i) q^{53} +(1.86633 - 0.679288i) q^{54} +(2.01309 + 1.68918i) q^{55} -0.195559 q^{56} +(-1.02422 - 1.05554i) q^{57} -2.77706 q^{58} +(10.8781 + 9.12779i) q^{59} +(0.833230 - 0.303271i) q^{60} +(-1.45851 - 8.27160i) q^{61} +(-1.38127 + 7.83354i) q^{62} +(-0.530374 - 0.193040i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.90243 - 6.75921i) q^{65} +(-0.258479 + 0.216889i) q^{66} +(5.15543 - 4.32592i) q^{67} +(-0.211087 + 0.365614i) q^{68} +(0.278805 + 0.482905i) q^{69} +(-0.482916 - 0.175767i) q^{70} +(0.300052 - 1.70168i) q^{71} +(-0.501174 - 2.84230i) q^{72} +(12.7302 - 4.63342i) q^{73} +(7.42940 + 6.23400i) q^{74} +0.643068 q^{75} +(-3.60785 + 2.44610i) q^{76} +0.195559 q^{77} +(0.767683 + 0.644163i) q^{78} +(-6.92356 + 2.51997i) q^{79} +(-0.456329 - 2.58797i) q^{80} +(1.38715 - 7.86693i) q^{81} +(-5.95570 - 2.16770i) q^{82} +(-3.51742 - 6.09235i) q^{83} +(0.0329927 - 0.0571451i) q^{84} +(-0.849874 + 0.713129i) q^{85} +(-0.218942 + 0.183714i) q^{86} +(0.468518 - 0.811498i) q^{87} +(0.500000 + 0.866025i) q^{88} +(-9.28940 - 3.38107i) q^{89} +(1.31703 - 7.46927i) q^{90} +(-0.100857 - 0.571987i) q^{91} +(1.55291 - 0.565213i) q^{92} +(-2.05604 - 1.72522i) q^{93} +1.99243 q^{94} +(-11.1078 + 2.79774i) q^{95} +0.337420 q^{96} +(7.68922 + 6.45202i) q^{97} +(6.54191 - 2.38106i) q^{98} +(0.501174 + 2.84230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 15 q^{8}+O(q^{10}) \) 30 * q - 15 * q^8	\( 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) \) 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

Introduction

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