LMFDB - Embedded newform 966.2.q.g.463.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			463.2
Character	$\chi$	$=$	966.463
Dual form			966.2.q.g.169.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14899 - 1.32600i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14899 - 1.32600i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(1.47603 + 0.948584i) q^{10} +(-0.462449 + 3.21640i) q^{11} +(0.142315 - 0.989821i) q^{12} +(0.897272 + 0.576642i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(0.728869 + 1.59600i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.16292 - 0.341464i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-5.85091 + 1.71798i) q^{19} +(-0.728869 + 1.59600i) q^{20} +(-0.142315 - 0.989821i) q^{21} -3.24948 q^{22} +(-0.996301 + 4.69120i) q^{23} +1.00000 q^{24} +(0.273463 + 1.90198i) q^{25} +(-0.443077 + 0.970204i) q^{26} +(0.959493 - 0.281733i) q^{27} +(0.654861 - 0.755750i) q^{28} +(2.95498 + 0.867661i) q^{29} +(-1.47603 + 0.948584i) q^{30} +(1.47390 + 3.22738i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-2.73364 - 1.75680i) q^{33} +(0.172488 - 1.19968i) q^{34} +(-0.249699 + 1.73670i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-2.23403 - 2.57820i) q^{37} +(-2.53317 - 5.54686i) q^{38} +(-0.897272 + 0.576642i) q^{39} +(-1.68348 - 0.494315i) q^{40} +(-5.08488 + 5.86827i) q^{41} +(0.959493 - 0.281733i) q^{42} +(-2.62404 + 5.74586i) q^{43} +(-0.462449 - 3.21640i) q^{44} -1.75456 q^{45} +(-4.78524 - 0.318533i) q^{46} -12.7613 q^{47} +(0.142315 + 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-1.84370 + 0.541359i) q^{50} +(0.793701 - 0.915980i) q^{51} +(-1.02338 - 0.300493i) q^{52} +(-0.695496 + 0.446968i) q^{53} +(0.415415 + 0.909632i) q^{54} +(3.73362 + 4.30883i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.867824 - 6.03585i) q^{57} +(-0.438291 + 3.04838i) q^{58} +(6.77010 + 4.35088i) q^{59} +(-1.14899 - 1.32600i) q^{60} +(-2.05921 - 4.50905i) q^{61} +(-2.98478 + 1.91820i) q^{62} +(0.959493 + 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(1.79559 - 0.527232i) q^{65} +(1.34988 - 2.95583i) q^{66} +(0.112861 + 0.784963i) q^{67} +1.21202 q^{68} +(-3.85339 - 2.85506i) q^{69} -1.75456 q^{70} +(-1.90692 - 13.2629i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(14.8813 - 4.36955i) q^{73} +(2.23403 - 2.57820i) q^{74} +(-1.84370 - 0.541359i) q^{75} +(5.12989 - 3.29678i) q^{76} +(-1.34988 - 2.95583i) q^{77} +(-0.698467 - 0.806074i) q^{78} +(1.91339 + 1.22966i) q^{79} +(0.249699 - 1.73670i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-6.53219 - 4.19798i) q^{82} +(-0.724430 - 0.836037i) q^{83} +(0.415415 + 0.909632i) q^{84} +(-1.78897 + 1.14970i) q^{85} +(-6.06081 - 1.77961i) q^{86} +(-2.01680 + 2.32751i) q^{87} +(3.11785 - 0.915484i) q^{88} +(-5.69524 + 12.4708i) q^{89} +(-0.249699 - 1.73670i) q^{90} -1.06659 q^{91} +(-0.365720 - 4.78187i) q^{92} -3.54801 q^{93} +(-1.81612 - 12.6314i) q^{94} +(-4.44458 + 9.73227i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(11.4535 - 13.2180i) q^{97} +(0.959493 + 0.281733i) q^{98} +(2.73364 - 1.75680i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	−0.415415	+	0.909632i	−0.239840	+	0.525176i
$3$	−0.415415	+	0.909632i	−0.239840	+	0.525176i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	1.14899	−	1.32600i	0.513844	−	0.593007i	−0.438235	−	0.898860i	$-0.644396\pi$
$5$	1.14899	−	1.32600i	0.513844	−	0.593007i	0.952079	+	0.305853i	$0.0989416\pi$
$6$	−0.959493	−	0.281733i	−0.391711	−	0.115017i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$7$	−0.841254	+	0.540641i	−0.317964	+	0.204343i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	−0.654861	−	0.755750i	−0.218287	−	0.251917i
$10$	1.47603	+	0.948584i	0.466760	+	0.299969i
$11$	−0.462449	+	3.21640i	−0.139434	+	0.969783i	0.793201	+	0.608960i	$0.208413\pi$
$11$	−0.462449	+	3.21640i	−0.139434	+	0.969783i	−0.932635	+	0.360822i	$0.882496\pi$
$12$	0.142315	−	0.989821i	0.0410828	−	0.285737i
$13$	0.897272	+	0.576642i	0.248858	+	0.159932i	0.659124	−	0.752035i	$-0.270927\pi$
$13$	0.897272	+	0.576642i	0.248858	+	0.159932i	−0.410265	+	0.911966i	$0.634564\pi$
$14$	−0.654861	−	0.755750i	−0.175019	−	0.201983i
$15$	0.728869	+	1.59600i	0.188193	+	0.412085i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−1.16292	−	0.341464i	−0.282050	−	0.0828172i	0.137648	−	0.990481i	$-0.456046\pi$
$17$	−1.16292	−	0.341464i	−0.282050	−	0.0828172i	−0.419698	+	0.907664i	$0.637864\pi$
$18$	0.654861	−	0.755750i	0.154352	−	0.178132i
$19$	−5.85091	+	1.71798i	−1.34229	+	0.394132i	−0.872486	−	0.488639i	$-0.837494\pi$
$19$	−5.85091	+	1.71798i	−1.34229	+	0.394132i	−0.469804	+	0.882771i	$0.655675\pi$
$20$	−0.728869	+	1.59600i	−0.162980	+	0.356876i
$21$	−0.142315	−	0.989821i	−0.0310556	−	0.215997i
$22$	−3.24948			−0.692791
$23$	−0.996301	+	4.69120i	−0.207743	+	0.978183i
$23$	−0.996301	+	4.69120i	−0.207743	+	0.978183i
$24$	1.00000			0.204124
$25$	0.273463	+	1.90198i	0.0546926	+	0.380395i
$26$	−0.443077	+	0.970204i	−0.0868946	+	0.190273i
$27$	0.959493	−	0.281733i	0.184655	−	0.0542195i
$28$	0.654861	−	0.755750i	0.123757	−	0.142823i
$29$	2.95498	+	0.867661i	0.548726	+	0.161121i	0.544332	−	0.838870i	$-0.316783\pi$
$29$	2.95498	+	0.867661i	0.548726	+	0.161121i	0.00439403	+	0.999990i	$0.498601\pi$
$30$	−1.47603	+	0.948584i	−0.269484	+	0.173187i
$31$	1.47390	+	3.22738i	0.264720	+	0.579655i	0.994584	−	0.103937i	$-0.0331440\pi$
$31$	1.47390	+	3.22738i	0.264720	+	0.579655i	−0.729864	+	0.683592i	$0.760417\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	−2.73364	−	1.75680i	−0.475865	−	0.305820i
$34$	0.172488	−	1.19968i	0.0295814	−	0.205743i
$35$	−0.249699	+	1.73670i	−0.0422069	+	0.293555i
$36$	0.841254	+	0.540641i	0.140209	+	0.0901068i
$37$	−2.23403	−	2.57820i	−0.367271	−	0.423854i	0.541791	−	0.840513i	$-0.317746\pi$
$37$	−2.23403	−	2.57820i	−0.367271	−	0.423854i	−0.909063	+	0.416659i	$0.863201\pi$
$38$	−2.53317	−	5.54686i	−0.410934	−	0.899819i
$39$	−0.897272	+	0.576642i	−0.143679	+	0.0923366i
$40$	−1.68348	−	0.494315i	−0.266182	−	0.0781581i
$41$	−5.08488	+	5.86827i	−0.794125	+	0.916469i	−0.998044	−	0.0625184i	$-0.980087\pi$
$41$	−5.08488	+	5.86827i	−0.794125	+	0.916469i	0.203918	+	0.978988i	$0.434632\pi$
$42$	0.959493	−	0.281733i	0.148053	−	0.0434723i
$43$	−2.62404	+	5.74586i	−0.400163	+	0.876235i	0.597091	+	0.802174i	$0.296323\pi$
$43$	−2.62404	+	5.74586i	−0.400163	+	0.876235i	−0.997254	+	0.0740610i	$0.976404\pi$
$44$	−0.462449	−	3.21640i	−0.0697168	−	0.484891i
$45$	−1.75456			−0.261554
$46$	−4.78524	−	0.318533i	−0.705545	−	0.0469651i
$47$	−12.7613			−1.86142			−0.930712	−	0.365753i	$-0.880812\pi$
$47$	−12.7613			−1.86142			−0.930712	+	0.365753i	$0.880812\pi$
$48$	0.142315	+	0.989821i	0.0205414	+	0.142868i
$49$	0.415415	−	0.909632i	0.0593450	−	0.129947i
$50$	−1.84370	+	0.541359i	−0.260738	+	0.0765597i
$51$	0.793701	−	0.915980i	0.111140	−	0.128263i
$52$	−1.02338	−	0.300493i	−0.141918	−	0.0416709i
$53$	−0.695496	+	0.446968i	−0.0955337	+	0.0613958i	−0.587535	−	0.809198i	$-0.699902\pi$
$53$	−0.695496	+	0.446968i	−0.0955337	+	0.0613958i	0.492002	+	0.870594i	$0.336265\pi$
$54$	0.415415	+	0.909632i	0.0565308	+	0.123785i
$55$	3.73362	+	4.30883i	0.503441	+	0.581002i
$56$	0.841254	+	0.540641i	0.112417	+	0.0722462i
$57$	0.867824	−	6.03585i	0.114946	−	0.799467i
$58$	−0.438291	+	3.04838i	−0.0575505	+	0.400272i
$59$	6.77010	+	4.35088i	0.881392	+	0.566436i	0.901217	−	0.433367i	$-0.142675\pi$
$59$	6.77010	+	4.35088i	0.881392	+	0.566436i	−0.0198257	+	0.999803i	$0.506311\pi$
$60$	−1.14899	−	1.32600i	−0.148334	−	0.171186i
$61$	−2.05921	−	4.50905i	−0.263655	−	0.577324i	0.730787	−	0.682605i	$-0.239153\pi$
$61$	−2.05921	−	4.50905i	−0.263655	−	0.577324i	−0.994443	+	0.105281i	$0.966426\pi$
$62$	−2.98478	+	1.91820i	−0.379067	+	0.243611i
$63$	0.959493	+	0.281733i	0.120885	+	0.0354950i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	1.79559	−	0.527232i	0.222715	−	0.0653950i
$66$	1.34988	−	2.95583i	0.166159	−	0.363838i
$67$	0.112861	+	0.784963i	0.0137881	+	0.0958985i	0.995553	−	0.0941985i	$-0.0300288\pi$
$67$	0.112861	+	0.784963i	0.0137881	+	0.0958985i	−0.981765	+	0.190097i	$0.939120\pi$
$68$	1.21202			0.146978
$69$	−3.85339	−	2.85506i	−0.463894	−	0.343709i
$70$	−1.75456			−0.209710
$71$	−1.90692	−	13.2629i	−0.226310	−	1.57402i	−0.713456	−	0.700700i	$-0.752871\pi$
$71$	−1.90692	−	13.2629i	−0.226310	−	1.57402i	0.487146	−	0.873321i	$-0.338038\pi$
$72$	−0.415415	+	0.909632i	−0.0489571	+	0.107201i
$73$	14.8813	−	4.36955i	1.74173	−	0.511418i	0.752601	−	0.658477i	$-0.228799\pi$
$73$	14.8813	−	4.36955i	1.74173	−	0.511418i	0.989128	+	0.147060i	$0.0469810\pi$
$74$	2.23403	−	2.57820i	0.259700	−	0.299710i
$75$	−1.84370	−	0.541359i	−0.212892	−	0.0625107i
$76$	5.12989	−	3.29678i	0.588439	−	0.378167i
$77$	−1.34988	−	2.95583i	−0.153833	−	0.336848i
$78$	−0.698467	−	0.806074i	−0.0790859	−	0.0912700i
$79$	1.91339	+	1.22966i	0.215273	+	0.138348i	0.643834	−	0.765165i	$-0.277343\pi$
$79$	1.91339	+	1.22966i	0.215273	+	0.138348i	−0.428561	+	0.903513i	$0.640979\pi$
$80$	0.249699	−	1.73670i	0.0279172	−	0.194169i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	−6.53219	−	4.19798i	−0.721360	−	0.463590i
$83$	−0.724430	−	0.836037i	−0.0795166	−	0.0917670i	0.714597	−	0.699536i	$-0.246610\pi$
$83$	−0.724430	−	0.836037i	−0.0795166	−	0.0917670i	−0.794114	+	0.607769i	$0.792065\pi$
$84$	0.415415	+	0.909632i	0.0453255	+	0.0992490i
$85$	−1.78897	+	1.14970i	−0.194041	+	0.124702i
$86$	−6.06081	−	1.77961i	−0.653554	−	0.191901i
$87$	−2.01680	+	2.32751i	−0.216223	+	0.249535i
$88$	3.11785	−	0.915484i	0.332364	−	0.0975909i
$89$	−5.69524	+	12.4708i	−0.603694	+	1.32190i	0.323111	+	0.946361i	$0.395271\pi$
$89$	−5.69524	+	12.4708i	−0.603694	+	1.32190i	−0.926805	+	0.375544i	$0.877456\pi$
$90$	−0.249699	−	1.73670i	−0.0263206	−	0.183064i
$91$	−1.06659			−0.111809
$92$	−0.365720	−	4.78187i	−0.0381290	−	0.498544i
$93$	−3.54801			−0.367911
$94$	−1.81612	−	12.6314i	−0.187318	−	1.30283i
$95$	−4.44458	+	9.73227i	−0.456004	+	0.998510i
$96$	−0.959493	+	0.281733i	−0.0979278	+	0.0287542i
$97$	11.4535	−	13.2180i	1.16292	−	1.34209i	0.233815	−	0.972281i	$-0.424879\pi$
$97$	11.4535	−	13.2180i	1.16292	−	1.34209i	0.929110	−	0.369805i	$-0.120575\pi$
$98$	0.959493	+	0.281733i	0.0969234	+	0.0284593i
$99$	2.73364	−	1.75680i	0.274741	−	0.176565i
$100$	−0.798234	−	1.74789i	−0.0798234	−	0.174789i
$101$	−12.0670	−	13.9261i	−1.20072	−	1.38570i	−0.902213	−	0.431291i	$-0.858058\pi$
$101$	−12.0670	−	13.9261i	−1.20072	−	1.38570i	−0.298503	−	0.954409i	$-0.596487\pi$
$102$	1.01961	+	0.655265i	0.100957	+	0.0648809i
$103$	1.15173	−	8.01049i	0.113484	−	0.789297i	−0.851002	−	0.525162i	$-0.824005\pi$
$103$	1.15173	−	8.01049i	0.113484	−	0.789297i	0.964486	−	0.264135i	$-0.0850863\pi$
$104$	0.151791	−	1.05573i	0.0148844	−	0.103523i
$105$	−1.47603	−	0.948584i	−0.144045	−	0.0925724i
$106$	−0.541398	−	0.624807i	−0.0525852	−	0.0606866i
$107$	4.53658	+	9.93373i	0.438568	+	0.960330i	0.991859	+	0.127342i	$0.0406446\pi$
$107$	4.53658	+	9.93373i	0.438568	+	0.960330i	−0.553291	+	0.832988i	$0.686628\pi$
$108$	−0.841254	+	0.540641i	−0.0809497	+	0.0520232i
$109$	−1.97708	−	0.580524i	−0.189370	−	0.0556041i	0.185672	−	0.982612i	$-0.440554\pi$
$109$	−1.97708	−	0.580524i	−0.189370	−	0.0556041i	−0.375043	+	0.927008i	$0.622372\pi$
$110$	−3.73362	+	4.30883i	−0.355987	+	0.410830i
$111$	3.27326	−	0.961117i	0.310684	−	0.0912252i
$112$	−0.415415	+	0.909632i	−0.0392530	+	0.0859521i
$113$	2.78922	+	19.3995i	0.262388	+	1.82495i	0.514779	+	0.857323i	$0.327874\pi$
$113$	2.78922	+	19.3995i	0.262388	+	1.82495i	−0.252391	+	0.967625i	$0.581217\pi$
$114$	6.09791			0.571122
$115$	5.07582	+	6.71124i	0.473322	+	0.625827i
$116$	−3.07973			−0.285946
$117$	−0.151791	−	1.05573i	−0.0140331	−	0.0976025i
$118$	−3.34311	+	7.32038i	−0.307758	+	0.673896i
$119$	1.16292	−	0.341464i	0.106605	−	0.0313020i
$120$	1.14899	−	1.32600i	0.104888	−	0.121047i
$121$	0.423022	+	0.124211i	0.0384566	+	0.0112919i
$122$	4.17010	−	2.67996i	0.377543	−	0.242632i
$123$	−3.22563	−	7.06314i	−0.290845	−	0.636862i
$124$	−2.32345	−	2.68141i	−0.208652	−	0.240797i
$125$	10.2164	+	6.56566i	0.913780	+	0.587250i
$126$	−0.142315	+	0.989821i	−0.0126784	+	0.0881803i
$127$	0.304180	−	2.11562i	0.0269916	−	0.187731i	−0.971865	−	0.235539i	$-0.924314\pi$
$127$	0.304180	−	2.11562i	0.0269916	−	0.187731i	0.998857	+	0.0478080i	$0.0152236\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	−4.13655	−	4.77383i	−0.364203	−	0.420312i
$130$	0.777404	+	1.70228i	0.0681828	+	0.149300i
$131$	−4.09879	+	2.63413i	−0.358113	+	0.230145i	−0.707309	−	0.706904i	$-0.750091\pi$
$131$	−4.09879	+	2.63413i	−0.358113	+	0.230145i	0.349196	+	0.937050i	$0.386455\pi$
$132$	3.11785	+	0.915484i	0.271374	+	0.0796827i
$133$	3.99328	−	4.60850i	0.346262	−	0.399607i
$134$	−0.760912	+	0.223424i	−0.0657328	+	0.0193009i
$135$	0.728869	−	1.59600i	0.0627310	−	0.137362i
$136$	0.172488	+	1.19968i	0.0147907	+	0.102872i
$137$	−14.9545			−1.27765			−0.638826	−	0.769351i	$-0.720580\pi$
$137$	−14.9545			−1.27765			−0.638826	+	0.769351i	$0.720580\pi$
$138$	2.27761	−	4.22049i	0.193883	−	0.359272i
$139$	5.03740			0.427267			0.213633	−	0.976914i	$-0.431470\pi$
$139$	5.03740			0.427267			0.213633	+	0.976914i	$0.431470\pi$
$140$	−0.249699	−	1.73670i	−0.0211034	−	0.146778i
$141$	5.30123	−	11.6081i	0.446444	−	0.977576i
$142$	12.8566	−	3.77503i	1.07890	−	0.316793i
$143$	−2.26966	+	2.61932i	−0.189798	+	0.219039i
$144$	−0.959493	−	0.281733i	−0.0799577	−	0.0234777i
$145$	4.54576	−	2.92139i	0.377505	−	0.242608i
$146$	6.44291	+	14.1080i	0.533219	+	1.16759i
$147$	0.654861	+	0.755750i	0.0540120	+	0.0623332i
$148$	2.86990	+	1.84437i	0.235904	+	0.151606i
$149$	−1.96155	+	13.6429i	−0.160696	+	1.11767i	0.736629	+	0.676297i	$0.236416\pi$
$149$	−1.96155	+	13.6429i	−0.160696	+	1.11767i	−0.897325	+	0.441370i	$0.854493\pi$
$150$	0.273463	−	1.90198i	0.0223281	−	0.155296i
$151$	8.59193	+	5.52170i	0.699201	+	0.449349i	0.841346	−	0.540497i	$-0.181764\pi$
$151$	8.59193	+	5.52170i	0.699201	+	0.449349i	−0.142145	+	0.989846i	$0.545400\pi$
$152$	3.99328	+	4.60850i	0.323898	+	0.373798i
$153$	0.503489	+	1.10249i	0.0407047	+	0.0891309i
$154$	2.73364	−	1.75680i	0.220283	−	0.141567i
$155$	5.97302	+	1.75384i	0.479764	+	0.140872i
$156$	0.698467	−	0.806074i	0.0559222	−	0.0645376i
$157$	14.4397	−	4.23986i	1.15241	−	0.338378i	0.350931	−	0.936401i	$-0.385865\pi$
$157$	14.4397	−	4.23986i	1.15241	−	0.338378i	0.801479	+	0.598023i	$0.204047\pi$
$158$	−0.944842	+	2.06892i	−0.0751676	+	0.164594i
$159$	−0.117657	−	0.818323i	−0.00933081	−	0.0648972i
$160$	1.75456			0.138710
$161$	−1.69811	−	4.48513i	−0.133830	−	0.353478i
$162$	−1.00000			−0.0785674
$163$	2.78239	+	19.3519i	0.217933	+	1.51576i	0.745650	+	0.666338i	$0.232139\pi$
$163$	2.78239	+	19.3519i	0.217933	+	1.51576i	−0.527716	+	0.849421i	$0.676952\pi$
$164$	3.22563	−	7.06314i	0.251879	−	0.551538i
$165$	−5.47045	+	1.60627i	−0.425874	+	0.125048i
$166$	0.724430	−	0.836037i	0.0562267	−	0.0648891i
$167$	11.8952	+	3.49274i	0.920476	+	0.270276i	0.707444	−	0.706769i	$-0.249848\pi$
$167$	11.8952	+	3.49274i	0.920476	+	0.270276i	0.213032	+	0.977045i	$0.431666\pi$
$168$	−0.841254	+	0.540641i	−0.0649041	+	0.0417113i
$169$	−4.92781	−	10.7904i	−0.379063	−	0.830031i
$170$	−1.39259	−	1.60714i	−0.106807	−	0.123262i
$171$	5.12989	+	3.29678i	0.392293	+	0.252111i
$172$	0.898957	−	6.25239i	0.0685449	−	0.476740i
$173$	−0.0283965	+	0.197502i	−0.00215895	+	0.0150158i	−0.990872	−	0.134803i	$-0.956960\pi$
$173$	−0.0283965	+	0.197502i	−0.00215895	+	0.0150158i	0.988713	+	0.149819i	$0.0478690\pi$
$174$	−2.59083	−	1.66503i	−0.196411	−	0.126225i
$175$	−1.25834	−	1.45220i	−0.0951214	−	0.109776i
$176$	1.34988	+	2.95583i	0.101751	+	0.222804i
$177$	−6.77010	+	4.35088i	−0.508872	+	0.327032i
$178$	−13.1544	−	3.86248i	−0.985964	−	0.289505i
$179$	−3.75266	+	4.33080i	−0.280487	+	0.323699i	−0.878459	−	0.477818i	$-0.841428\pi$
$179$	−3.75266	+	4.33080i	−0.280487	+	0.323699i	0.597972	+	0.801517i	$0.295973\pi$
$180$	1.68348	−	0.494315i	0.125479	−	0.0368441i
$181$	−0.941325	+	2.06122i	−0.0699682	+	0.153209i	−0.941385	−	0.337335i	$-0.890475\pi$
$181$	−0.941325	+	2.06122i	−0.0699682	+	0.153209i	0.871417	+	0.490544i	$0.163202\pi$
$182$	−0.151791	−	1.05573i	−0.0112515	−	0.0782561i
$183$	4.95700			0.366432
$184$	4.68115	−	1.04253i	0.345099	−	0.0768562i
$185$	−5.98558			−0.440069
$186$	−0.504934	−	3.51190i	−0.0370236	−	0.257505i
$187$	1.63608	−	3.58251i	0.119642	−	0.261979i
$188$	12.2444	−	3.59527i	0.893012	−	0.262212i
$189$	−0.654861	+	0.755750i	−0.0476341	+	0.0549727i
$190$	−10.2657	−	3.01429i	−0.744755	−	0.218680i
$191$	−6.94926	+	4.46602i	−0.502831	+	0.323150i	−0.767348	−	0.641231i	$-0.778424\pi$
$191$	−6.94926	+	4.46602i	−0.502831	+	0.323150i	0.264517	+	0.964381i	$0.414788\pi$
$192$	−0.415415	−	0.909632i	−0.0299800	−	0.0656470i
$193$	4.54722	+	5.24777i	0.327316	+	0.377743i	0.895426	−	0.445210i	$-0.146871\pi$
$193$	4.54722	+	5.24777i	0.327316	+	0.377743i	−0.568111	+	0.822952i	$0.692325\pi$
$194$	14.7135	+	9.45577i	1.05637	+	0.678885i
$195$	−0.266327	+	1.85234i	−0.0190720	+	0.132649i
$196$	−0.142315	+	0.989821i	−0.0101653	+	0.0707015i
$197$	10.7486	+	6.90772i	0.765808	+	0.492155i	0.864296	−	0.502984i	$-0.167764\pi$
$197$	10.7486	+	6.90772i	0.765808	+	0.492155i	−0.0984884	+	0.995138i	$0.531401\pi$
$198$	2.12796	+	2.45579i	0.151227	+	0.174526i
$199$	−0.822190	−	1.80035i	−0.0582835	−	0.127623i	0.878249	−	0.478203i	$-0.158712\pi$
$199$	−0.822190	−	1.80035i	−0.0582835	−	0.127623i	−0.936533	+	0.350580i	$0.885984\pi$
$200$	1.61650	−	1.03886i	0.114304	−	0.0734585i
$201$	−0.760912	−	0.223424i	−0.0536706	−	0.0157591i
$202$	12.0670	−	13.9261i	0.849034	−	0.979838i
$203$	−2.95498	+	0.867661i	−0.207399	+	0.0608978i
$204$	−0.503489	+	1.10249i	−0.0352513	+	0.0771896i
$205$	1.93887	+	13.4852i	0.135417	+	0.941844i
$206$	8.09286			0.563857
$207$	4.19781	−	2.31913i	0.291768	−	0.161191i
$208$	1.06659			0.0739547
$209$	−2.81998	−	19.6134i	−0.195062	−	1.35668i
$210$	0.728869	−	1.59600i	0.0502967	−	0.110134i
$211$	13.3206	−	3.91127i	0.917025	−	0.269263i	0.211030	−	0.977480i	$-0.432318\pi$
$211$	13.3206	−	3.91127i	0.917025	−	0.269263i	0.705995	+	0.708217i	$0.250500\pi$
$212$	0.541398	−	0.624807i	0.0371834	−	0.0429119i
$213$	12.8566	+	3.77503i	0.880917	+	0.258660i
$214$	−9.18700	+	5.90412i	−0.628010	+	0.403598i
$215$	4.60403	+	10.0814i	0.313992	+	0.687547i
$216$	−0.654861	−	0.755750i	−0.0445576	−	0.0514222i
$217$	−2.98478	−	1.91820i	−0.202620	−	0.130216i
$218$	0.293247	−	2.03958i	0.0198612	−	0.138138i
$219$	−2.20724	+	15.3517i	−0.149152	+	1.03737i
$220$	−4.79632	−	3.08241i	−0.323368	−	0.207816i
$221$	−0.846553	−	0.976974i	−0.0569453	−	0.0657184i
$222$	1.41717	+	3.10316i	0.0951141	+	0.208271i
$223$	14.2965	−	9.18781i	0.957365	−	0.615261i	0.0340975	−	0.999419i	$-0.489144\pi$
$223$	14.2965	−	9.18781i	0.957365	−	0.615261i	0.923268	+	0.384157i	$0.125508\pi$
$224$	−0.959493	−	0.281733i	−0.0641088	−	0.0188240i
$225$	1.25834	−	1.45220i	0.0838891	−	0.0968132i
$226$	−18.8051	+	5.52166i	−1.25089	+	0.367296i
$227$	1.49193	−	3.26687i	0.0990229	−	0.216830i	−0.853637	−	0.520869i	$-0.825608\pi$
$227$	1.49193	−	3.26687i	0.0990229	−	0.216830i	0.952660	+	0.304039i	$0.0983353\pi$
$228$	0.867824	+	6.03585i	0.0574730	+	0.399734i
$229$	14.4598			0.955531			0.477766	−	0.878487i	$-0.341447\pi$
$229$	14.4598			0.955531			0.477766	+	0.878487i	$0.341447\pi$
$230$	−5.92057	+	5.97926i	−0.390391	+	0.394261i
$231$	3.24948			0.213800
$232$	−0.438291	−	3.04838i	−0.0287752	−	0.200136i
$233$	7.34810	−	16.0901i	0.481390	−	1.05410i	−0.500689	−	0.865627i	$-0.666920\pi$
$233$	7.34810	−	16.0901i	0.481390	−	1.05410i	0.982079	−	0.188470i	$-0.0603529\pi$
$234$	1.02338	−	0.300493i	0.0669008	−	0.0196438i
$235$	−14.6626	+	16.9215i	−0.956481	+	1.10384i
$236$	−7.72165	−	2.26728i	−0.502636	−	0.147587i
$237$	−1.91339	+	1.22966i	−0.124288	+	0.0798752i
$238$	0.503489	+	1.10249i	0.0326364	+	0.0714637i
$239$	18.7574	+	21.6472i	1.21332	+	1.40024i	0.891244	+	0.453525i	$0.149834\pi$
$239$	18.7574	+	21.6472i	1.21332	+	1.40024i	0.322071	+	0.946715i	$0.395621\pi$
$240$	1.47603	+	0.948584i	0.0952771	+	0.0612309i
$241$	−2.19331	+	15.2548i	−0.141284	+	0.982650i	0.788629	+	0.614869i	$0.210791\pi$
$241$	−2.19331	+	15.2548i	−0.141284	+	0.982650i	−0.929913	+	0.367780i	$0.880118\pi$
$242$	−0.0627439	+	0.436394i	−0.00403333	+	0.0280524i
$243$	−0.841254	−	0.540641i	−0.0539664	−	0.0346821i
$244$	3.24615	+	3.74625i	0.207813	+	0.239829i
$245$	−0.728869	−	1.59600i	−0.0465657	−	0.101965i
$246$	6.53219	−	4.19798i	0.416477	−	0.267654i
$247$	−6.24051	−	1.83238i	−0.397074	−	0.116592i
$248$	2.32345	−	2.68141i	0.147539	−	0.170269i
$249$	1.06143	−	0.311663i	0.0672651	−	0.0197508i
$250$	−5.04489	+	11.0468i	−0.319067	+	0.698659i
$251$	−1.43317	−	9.96789i	−0.0904606	−	0.629168i	−0.983731	−	0.179648i	$-0.942504\pi$
$251$	−1.43317	−	9.96789i	−0.0904606	−	0.629168i	0.893270	−	0.449520i	$-0.148405\pi$
$252$	−1.00000			−0.0629941
$253$	−14.6281	−	5.37395i	−0.919659	−	0.337857i
$254$	2.13738			0.134111
$255$	−0.302639	−	2.10490i	−0.0189520	−	0.131814i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	17.7125	−	5.20087i	1.10488	−	0.324422i	0.322090	−	0.946709i	$-0.395615\pi$
$257$	17.7125	−	5.20087i	1.10488	−	0.324422i	0.782789	+	0.622288i	$0.213797\pi$
$258$	4.13655	−	4.77383i	0.257530	−	0.297206i
$259$	3.27326	+	0.961117i	0.203391	+	0.0597209i
$260$	−1.57431	+	1.01175i	−0.0976348	+	0.0627461i
$261$	−1.27937	−	2.80142i	−0.0791908	−	0.173404i
$262$	−3.19064	−	3.68220i	−0.197118	−	0.227487i
$263$	−3.72819	−	2.39596i	−0.229890	−	0.147741i	0.420625	−	0.907234i	$-0.361811\pi$
$263$	−3.72819	−	2.39596i	−0.229890	−	0.147741i	−0.650515	+	0.759493i	$0.725447\pi$
$264$	−0.462449	+	3.21640i	−0.0284618	+	0.197956i
$265$	−0.206436	+	1.43579i	−0.0126813	+	0.0882000i
$266$	5.12989	+	3.29678i	0.314534	+	0.202139i
$267$	−8.97798	−	10.3611i	−0.549443	−	0.634091i
$268$	−0.329439	−	0.721370i	−0.0201237	−	0.0440647i
$269$	−0.702576	+	0.451518i	−0.0428368	+	0.0275295i	−0.561884	−	0.827216i	$-0.689923\pi$
$269$	−0.702576	+	0.451518i	−0.0428368	+	0.0275295i	0.519047	+	0.854746i	$0.326287\pi$
$270$	1.68348	+	0.494315i	0.102454	+	0.0300831i
$271$	−0.446406	+	0.515180i	−0.0271172	+	0.0312950i	−0.769146	−	0.639073i	$-0.779318\pi$
$271$	−0.446406	+	0.515180i	−0.0271172	+	0.0312950i	0.742029	+	0.670368i	$0.233864\pi$
$272$	−1.16292	+	0.341464i	−0.0705124	+	0.0207043i
$273$	0.443077	−	0.970204i	0.0268163	−	0.0587194i
$274$	−2.12825	−	14.8023i	−0.128572	−	0.894241i
$275$	−6.24399			−0.376527
$276$	4.50166	+	1.65379i	0.270968	+	0.0995464i
$277$	−16.7423			−1.00595			−0.502974	−	0.864301i	$-0.667761\pi$
$277$	−16.7423			−1.00595			−0.502974	+	0.864301i	$0.667761\pi$
$278$	0.716897	+	4.98613i	0.0429966	+	0.299048i
$279$	1.47390	−	3.22738i	0.0882399	−	0.193218i
$280$	1.68348	−	0.494315i	0.100607	−	0.0295410i
$281$	−4.83035	+	5.57452i	−0.288154	+	0.332548i	−0.881309	−	0.472541i	$-0.843337\pi$
$281$	−4.83035	+	5.57452i	−0.288154	+	0.332548i	0.593154	+	0.805089i	$0.297882\pi$
$282$	12.2444	+	3.59527i	0.729141	+	0.214095i
$283$	8.51735	−	5.47377i	0.506304	−	0.325382i	−0.262429	−	0.964951i	$-0.584524\pi$
$283$	8.51735	−	5.47377i	0.506304	−	0.325382i	0.768733	+	0.639569i	$0.220887\pi$
$284$	5.56628	+	12.1885i	0.330298	+	0.723252i
$285$	−7.00644	−	8.08586i	−0.415026	−	0.478965i
$286$	−2.91567	−	1.87379i	−0.172407	−	0.110799i
$287$	1.10505	−	7.68580i	0.0652291	−	0.453678i
$288$	0.142315	−	0.989821i	0.00838598	−	0.0583258i
$289$	−13.0655	−	8.39670i	−0.768560	−	0.493924i
$290$	3.53858	+	4.08374i	0.207793	+	0.239805i
$291$	7.26558	+	15.9094i	0.425916	+	0.932626i
$292$	−13.0475	+	8.38511i	−0.763547	+	0.490702i
$293$	−13.5318	−	3.97330i	−0.790536	−	0.232122i	−0.138552	−	0.990355i	$-0.544245\pi$
$293$	−13.5318	−	3.97330i	−0.790536	−	0.232122i	−0.651984	+	0.758233i	$0.726063\pi$
$294$	−0.654861	+	0.755750i	−0.0381923	+	0.0440762i
$295$	13.5481	−	3.97807i	0.788798	−	0.231612i
$296$	−1.41717	+	3.10316i	−0.0823712	+	0.180368i
$297$	0.462449	+	3.21640i	0.0268340	+	0.186635i
$298$	−13.7832			−0.798437
$299$	−3.59910	+	3.63478i	−0.208141	+	0.210205i
$300$	1.92153			0.110940
$301$	−0.898957	−	6.25239i	−0.0518150	−	0.360382i
$302$	−4.24273	+	9.29029i	−0.244142	+	0.534596i
$303$	17.6805	−	5.19145i	1.01572	−	0.298241i
$304$	−3.99328	+	4.60850i	−0.229031	+	0.264315i
$305$	−8.34503	−	2.45032i	−0.477835	−	0.140305i
$306$	−1.01961	+	0.655265i	−0.0582873	+	0.0374590i
$307$	−3.61161	−	7.90833i	−0.206126	−	0.451352i	0.778130	−	0.628103i	$-0.216169\pi$
$307$	−3.61161	−	7.90833i	−0.206126	−	0.451352i	−0.984256	+	0.176751i	$0.943441\pi$
$308$	2.12796	+	2.45579i	0.121252	+	0.139932i
$309$	6.80815	+	4.37533i	0.387302	+	0.248904i
$310$	−0.885936	+	6.16182i	−0.0503178	+	0.349968i
$311$	2.77305	−	19.2870i	0.157245	−	1.09367i	−0.746435	−	0.665458i	$-0.768236\pi$
$311$	2.77305	−	19.2870i	0.157245	−	1.09367i	0.903681	−	0.428207i	$-0.140855\pi$
$312$	0.897272	+	0.576642i	0.0507980	+	0.0326459i
$313$	−22.2496	−	25.6774i	−1.25762	−	1.45138i	−0.839845	−	0.542826i	$-0.817354\pi$
$313$	−22.2496	−	25.6774i	−1.25762	−	1.45138i	−0.417779	−	0.908549i	$-0.637191\pi$
$314$	6.25168	+	13.6893i	0.352803	+	0.772531i
$315$	1.47603	−	0.948584i	0.0831647	−	0.0534467i
$316$	−2.18232	−	0.640788i	−0.122765	−	0.0360471i
$317$	4.60021	−	5.30892i	0.258373	−	0.298179i	−0.611711	−	0.791081i	$-0.709519\pi$
$317$	4.60021	−	5.30892i	0.258373	−	0.298179i	0.870085	+	0.492902i	$0.164064\pi$
$318$	0.793249	−	0.232919i	0.0444832	−	0.0130614i
$319$	−4.15728	+	9.10316i	−0.232763	+	0.509679i
$320$	0.249699	+	1.73670i	0.0139586	+	0.0970843i
$321$	−10.9206			−0.609529
$322$	4.19781	−	2.31913i	0.233935	−	0.129240i
$323$	7.39076			0.411233
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	−0.851388	+	1.86428i	−0.0472265	+	0.103412i
$326$	−18.7590	+	5.50813i	−1.03896	+	0.305067i
$327$	1.34937	−	1.55726i	0.0746205	−	0.0861167i
$328$	7.45030	+	2.18761i	0.411374	+	0.120790i
$329$	10.7355	−	6.89927i	0.591866	−	0.380369i
$330$	−2.36844	−	5.18617i	−0.130379	−	0.285489i
$331$	−7.00857	−	8.08832i	−0.385226	−	0.444574i	0.529707	−	0.848181i	$-0.322302\pi$
$331$	−7.00857	−	8.08832i	−0.385226	−	0.444574i	−0.914933	+	0.403607i	$0.867756\pi$
$332$	0.930625	+	0.598076i	0.0510747	+	0.0328237i
$333$	−0.485500	+	3.37673i	−0.0266052	+	0.185044i
$334$	−1.76433	+	12.2712i	−0.0965397	+	0.671449i
$335$	1.17054	+	0.752261i	0.0639535	+	0.0411004i
$336$	−0.654861	−	0.755750i	−0.0357256	−	0.0412295i
$337$	14.6638	+	32.1093i	0.798789	+	1.74910i	0.649573	+	0.760299i	$0.274948\pi$
$337$	14.6638	+	32.1093i	0.798789	+	1.74910i	0.149216	+	0.988805i	$0.452325\pi$
$338$	9.97928	−	6.41329i	0.542801	−	0.348837i
$339$	−18.8051	−	5.52166i	−1.02135	−	0.299896i
$340$	1.39259	−	1.60714i	0.0755240	−	0.0871593i
$341$	−11.0622	+	3.24815i	−0.599050	+	0.175897i
$342$	−2.53317	+	5.54686i	−0.136978	+	0.299940i
$343$	0.142315	+	0.989821i	0.00768428	+	0.0534453i
$344$	6.31668			0.340573
$345$	−8.21333	+	1.82917i	−0.442191	+	0.0984794i
$346$	−0.199533			−0.0107270
$347$	−2.88750	−	20.0830i	−0.155009	−	1.07811i	−0.907664	−	0.419698i	$-0.862136\pi$
$347$	−2.88750	−	20.0830i	−0.155009	−	1.07811i	0.752655	−	0.658415i	$-0.228773\pi$
$348$	1.27937	−	2.80142i	0.0685813	−	0.150172i
$349$	30.0597	−	8.82632i	1.60906	−	0.472462i	0.651010	−	0.759069i	$-0.274346\pi$
$349$	30.0597	−	8.82632i	1.60906	−	0.472462i	0.958048	+	0.286607i	$0.0925273\pi$
$350$	1.25834	−	1.45220i	0.0672610	−	0.0776233i
$351$	1.02338	+	0.300493i	0.0546242	+	0.0160391i
$352$	−2.73364	+	1.75680i	−0.145703	+	0.0936378i
$353$	1.03130	+	2.25824i	0.0548908	+	0.120194i	0.935090	−	0.354410i	$-0.115318\pi$
$353$	1.03130	+	2.25824i	0.0548908	+	0.120194i	−0.880199	+	0.474604i	$0.842591\pi$
$354$	−5.27008	−	6.08199i	−0.280101	−	0.323254i
$355$	−19.7778	−	12.7104i	−1.04969	−	0.674597i
$356$	1.95110	−	13.5702i	0.103408	−	0.719219i
$357$	−0.172488	+	1.19968i	−0.00912902	+	0.0634937i
$358$	−4.82078	−	3.09813i	−0.254786	−	0.163741i
$359$	−13.1470	−	15.1725i	−0.693874	−	0.800773i	0.294037	−	0.955794i	$-0.405001\pi$
$359$	−13.1470	−	15.1725i	−0.693874	−	0.800773i	−0.987911	+	0.155021i	$0.950456\pi$
$360$	0.728869	+	1.59600i	0.0384148	+	0.0841166i
$361$	15.2978	−	9.83131i	0.805149	−	0.517438i
$362$	−2.17420	−	0.638403i	−0.114273	−	0.0335537i
$363$	−0.288716	+	0.333196i	−0.0151536	+	0.0174882i
$364$	1.02338	−	0.300493i	0.0536399	−	0.0157501i
$365$	11.3044	−	24.7533i	0.591702	−	1.29565i
$366$	0.705455	+	4.90655i	0.0368747	+	0.256469i
$367$	9.77565			0.510285			0.255142	−	0.966903i	$-0.417878\pi$
$367$	9.77565			0.510285			0.255142	+	0.966903i	$0.417878\pi$
$368$	1.69811	+	4.48513i	0.0885203	+	0.233804i
$369$	7.76483			0.404221
$370$	−0.851837	−	5.92466i	−0.0442849	−	0.308008i
$371$	0.343439	−	0.752027i	0.0178305	−	0.0390433i
$372$	3.40429	−	0.999590i	0.176504	−	0.0518263i
$373$	6.39905	−	7.38490i	0.331330	−	0.382376i	−0.565501	−	0.824747i	$-0.691317\pi$
$373$	6.39905	−	7.38490i	0.331330	−	0.382376i	0.896832	+	0.442372i	$0.145863\pi$
$374$	3.77889	+	1.10958i	0.195401	+	0.0573751i
$375$	−10.2164	+	6.56566i	−0.527571	+	0.339049i
$376$	5.30123	+	11.6081i	0.273390	+	0.598641i
$377$	2.15109	+	2.48249i	0.110787	+	0.127855i
$378$	−0.841254	−	0.540641i	−0.0432694	−	0.0278076i
$379$	−0.925815	+	6.43919i	−0.0475559	+	0.330759i	0.952130	+	0.305694i	$0.0988884\pi$
$379$	−0.925815	+	6.43919i	−0.0475559	+	0.330759i	−0.999686	+	0.0250650i	$0.992021\pi$
$380$	1.52265	−	10.5902i	0.0781100	−	0.543267i
$381$	1.79807	+	1.15555i	0.0921182	+	0.0592007i
$382$	−5.40954	−	6.24294i	−0.276776	−	0.319417i
$383$	2.17386	+	4.76009i	0.111079	+	0.243229i	0.957005	−	0.290071i	$-0.0936789\pi$
$383$	2.17386	+	4.76009i	0.111079	+	0.243229i	−0.845926	+	0.533300i	$0.820952\pi$
$384$	0.841254	−	0.540641i	0.0429300	−	0.0275895i
$385$	−5.47045	−	1.60627i	−0.278800	−	0.0818630i
$386$	−4.54722	+	5.24777i	−0.231447	+	0.267104i
$387$	6.06081	−	1.77961i	0.308088	−	0.0904629i
$388$	−7.26558	+	15.9094i	−0.368854	+	0.807678i
$389$	1.88418	+	13.1048i	0.0955319	+	0.664439i	0.980170	+	0.198160i	$0.0634965\pi$
$389$	1.88418	+	13.1048i	0.0955319	+	0.664439i	−0.884638	+	0.466279i	$0.845594\pi$
$390$	−1.87139			−0.0947615
$391$	2.76050	−	5.11529i	0.139604	−	0.258691i
$392$	−1.00000			−0.0505076
$393$	−0.693393	−	4.82265i	−0.0349770	−	0.243271i
$394$	−5.30772	+	11.6223i	−0.267399	+	0.585522i
$395$	3.82901	−	1.12430i	0.192658	−	0.0565696i
$396$	−2.12796	+	2.45579i	−0.106934	+	0.123408i
$397$	−5.69667	−	1.67269i	−0.285908	−	0.0839500i	0.135634	−	0.990759i	$-0.456693\pi$
$397$	−5.69667	−	1.67269i	−0.285908	−	0.0839500i	−0.421542	+	0.906809i	$0.638511\pi$
$398$	1.66501	−	1.07004i	0.0834594	−	0.0536361i
$399$	2.53317	+	5.54686i	0.126817	+	0.277690i
$400$	1.25834	+	1.45220i	0.0629169	+	0.0726099i
$401$	−10.6135	−	6.82086i	−0.530011	−	0.340617i	0.248110	−	0.968732i	$-0.420191\pi$
$401$	−10.6135	−	6.82086i	−0.530011	−	0.340617i	−0.778121	+	0.628115i	$0.783827\pi$
$402$	0.112861	−	0.784963i	0.00562898	−	0.0391504i
$403$	−0.538558	+	3.74575i	−0.0268275	+	0.186589i
$404$	15.5017	+	9.96233i	0.771238	+	0.495644i
$405$	1.14899	+	1.32600i	0.0570938	+	0.0658897i
$406$	−1.27937	−	2.80142i	−0.0634939	−	0.139032i
$407$	9.32567	−	5.99324i	0.462256	−	0.297074i
$408$	−1.16292	−	0.341464i	−0.0575731	−	0.0169050i
$409$	−10.7771	+	12.4374i	−0.532894	+	0.614992i	−0.956812	−	0.290708i	$-0.906109\pi$
$409$	−10.7771	+	12.4374i	−0.532894	+	0.614992i	0.423918	+	0.905701i	$0.360654\pi$
$410$	−13.0720	+	3.83828i	−0.645579	+	0.189559i
$411$	6.21234	−	13.6031i	0.306432	−	0.670993i
$412$	1.15173	+	8.01049i	0.0567419	+	0.394649i
$413$	−8.04763			−0.395998
$414$	2.89294	+	3.82504i	0.142180	+	0.187990i
$415$	−1.94095			−0.0952776
$416$	0.151791	+	1.05573i	0.00744219	+	0.0517616i
$417$	−2.09261	+	4.58218i	−0.102476	+	0.224390i
$418$	19.0124	−	5.58254i	0.929927	−	0.273051i
$419$	−16.6399	+	19.2035i	−0.812914	+	0.938153i	−0.999015	−	0.0443775i	$-0.985870\pi$
$419$	−16.6399	+	19.2035i	−0.812914	+	0.938153i	0.186100	+	0.982531i	$0.440415\pi$
$420$	1.68348	+	0.494315i	0.0821456	+	0.0241201i
$421$	2.88934	−	1.85687i	0.140818	−	0.0904982i	−0.468335	−	0.883551i	$-0.655146\pi$
$421$	2.88934	−	1.85687i	0.140818	−	0.0904982i	0.609153	+	0.793053i	$0.291510\pi$
$422$	5.76717	+	12.6283i	0.280742	+	0.614738i
$423$	8.35686	+	9.64433i	0.406325	+	0.468924i
$424$	0.695496	+	0.446968i	0.0337763	+	0.0217067i
$425$	0.331441	−	2.30522i	0.0160773	−	0.111820i
$426$	−1.90692	+	13.2629i	−0.0923907	+	0.642591i
$427$	4.17010	+	2.67996i	0.201805	+	0.129692i
$428$	−7.15148	−	8.25324i	−0.345680	−	0.398936i
$429$	−1.43977	−	3.15266i	−0.0695128	−	0.152212i
$430$	−9.32359	+	5.99191i	−0.449623	+	0.288955i
$431$	−17.9786	−	5.27900i	−0.866000	−	0.254281i	−0.181587	−	0.983375i	$-0.558123\pi$
$431$	−17.9786	−	5.27900i	−0.866000	−	0.254281i	−0.684413	+	0.729094i	$0.739942\pi$
$432$	0.654861	−	0.755750i	0.0315070	−	0.0363610i
$433$	−9.09832	+	2.67151i	−0.437238	+	0.128385i	−0.492941	−	0.870063i	$-0.664078\pi$
$433$	−9.09832	+	2.67151i	−0.437238	+	0.128385i	0.0557033	+	0.998447i	$0.482260\pi$
$434$	1.47390	−	3.22738i	0.0707493	−	0.154919i
$435$	0.769007	+	5.34856i	0.0368711	+	0.256444i
$436$	2.06055			0.0986825
$437$	−2.23013	−	29.1594i	−0.106682	−	1.39488i
$438$	−15.5096			−0.741076
$439$	0.953279	+	6.63020i	0.0454975	+	0.316442i	0.999843	+	0.0177361i	$0.00564589\pi$
$439$	0.953279	+	6.63020i	0.0454975	+	0.316442i	−0.954345	+	0.298706i	$0.903445\pi$
$440$	2.36844	−	5.18617i	0.112911	−	0.247241i
$441$	−0.959493	+	0.281733i	−0.0456901	+	0.0134158i
$442$	0.846553	−	0.976974i	0.0402664	−	0.0464699i
$443$	28.6675	+	8.41754i	1.36204	+	0.399930i	0.879480	−	0.475936i	$-0.157891\pi$
$443$	28.6675	+	8.41754i	1.36204	+	0.399930i	0.482555	+	0.875866i	$0.339709\pi$
$444$	−2.86990	+	1.84437i	−0.136199	+	0.0875299i
$445$	9.99261	+	21.8808i	0.473695	+	1.03725i
$446$	11.1289	+	12.8434i	0.526969	+	0.608154i
$447$	−11.5951	−	7.45174i	−0.548431	−	0.352455i
$448$	0.142315	−	0.989821i	0.00672374	−	0.0467647i
$449$	−0.874394	+	6.08155i	−0.0412652	+	0.287006i	0.958731	+	0.284314i	$0.0917659\pi$
$449$	−0.874394	+	6.08155i	−0.0412652	+	0.287006i	−0.999996	+	0.00269170i	$0.999143\pi$
$450$	1.61650	+	1.03886i	0.0762024	+	0.0489723i
$451$	−16.5232	−	19.0688i	−0.778048	−	0.897916i
$452$	−8.14170	−	17.8278i	−0.382953	−	0.838551i
$453$	−8.59193	+	5.52170i	−0.403684	+	0.259432i
$454$	3.44594	+	1.01182i	0.161726	+	0.0474871i
$455$	−1.22550	+	1.41430i	−0.0574523	+	0.0663035i
$456$	−5.85091	+	1.71798i	−0.273994	+	0.0804518i
$457$	6.17421	−	13.5196i	0.288817	−	0.632422i	−0.708493	−	0.705718i	$-0.750625\pi$
$457$	6.17421	−	13.5196i	0.288817	−	0.632422i	0.997310	+	0.0732962i	$0.0233519\pi$
$458$	2.05785	+	14.3126i	0.0961568	+	0.668786i
$459$	−1.21202			−0.0565720
$460$	−6.76099	−	5.00937i	−0.315233	−	0.233563i
$461$	−5.65771			−0.263506			−0.131753	−	0.991283i	$-0.542061\pi$
$461$	−5.65771			−0.263506			−0.131753	+	0.991283i	$0.542061\pi$
$462$	0.462449	+	3.21640i	0.0215151	+	0.149641i
$463$	−6.51256	+	14.2605i	−0.302664	+	0.662742i	−0.998459	−	0.0554988i	$-0.982325\pi$
$463$	−6.51256	+	14.2605i	−0.302664	+	0.662742i	0.695795	+	0.718241i	$0.255052\pi$
$464$	2.95498	−	0.867661i	0.137182	−	0.0402801i
$465$	−4.07663	+	4.70468i	−0.189049	+	0.218174i
$466$	16.9721	+	4.98345i	0.786216	+	0.230854i
$467$	16.9815	−	10.9133i	0.785808	−	0.505008i	−0.0851482	−	0.996368i	$-0.527136\pi$
$467$	16.9815	−	10.9133i	0.785808	−	0.505008i	0.870957	+	0.491360i	$0.163500\pi$
$468$	0.443077	+	0.970204i	0.0204813	+	0.0448477i
$469$	−0.519328	−	0.599336i	−0.0239803	−	0.0276748i
$470$	−18.8360	−	12.1052i	−0.868839	−	0.558369i
$471$	−2.14173	+	14.8961i	−0.0986858	+	0.686375i
$472$	1.14530	−	7.96572i	0.0527166	−	0.366652i
$473$	−17.2675	−	11.0972i	−0.793961	−	0.510248i
$474$	−1.48945	−	1.71892i	−0.0684127	−	0.0789525i
$475$	−4.86756	−	10.6585i	−0.223339	−	0.489044i
$476$	−1.01961	+	0.655265i	−0.0467338	+	0.0300340i
$477$	0.793249	+	0.232919i	0.0363204	+	0.0106646i
$478$	−18.7574	+	21.6472i	−0.857943	+	0.990119i
$479$	31.4373	−	9.23083i	1.43641	−	0.421767i	0.531385	−	0.847130i	$-0.321672\pi$
$479$	31.4373	−	9.23083i	1.43641	−	0.421767i	0.905023	+	0.425363i	$0.139854\pi$
$480$	−0.728869	+	1.59600i	−0.0332682	+	0.0728471i
$481$	−0.517829	−	3.60158i	−0.0236110	−	0.164218i
$482$	−15.4117			−0.701984
$483$	4.78524	+	0.318533i	0.217736	+	0.0144937i
$484$	−0.440881			−0.0200401
$485$	−4.36723	−	30.3747i	−0.198306	−	1.37925i
$486$	0.415415	−	0.909632i	0.0188436	−	0.0412617i
$487$	−4.02601	+	1.18214i	−0.182436	+	0.0535680i	−0.371675	−	0.928363i	$-0.621216\pi$
$487$	−4.02601	+	1.18214i	−0.182436	+	0.0535680i	0.189238	+	0.981931i	$0.439398\pi$
$488$	−3.24615	+	3.74625i	−0.146946	+	0.169585i
$489$	−18.7590	−	5.50813i	−0.848310	−	0.249086i
$490$	1.47603	−	0.948584i	0.0666801	−	0.0428527i
$491$	10.8019	+	23.6528i	0.487483	+	1.06744i	0.980338	+	0.197327i	$0.0632260\pi$
$491$	10.8019	+	23.6528i	0.487483	+	1.06744i	−0.492855	+	0.870111i	$0.664047\pi$
$492$	5.08488	+	5.86827i	0.229244	+	0.264562i
$493$	−3.14013	−	2.01804i	−0.141424	−	0.0908879i
$494$	0.925611	−	6.43777i	0.0416452	−	0.289649i
$495$	0.811393	−	5.64336i	0.0364694	−	0.253650i
$496$	2.98478	+	1.91820i	0.134020	+	0.0861297i
$497$	8.77469	+	10.1265i	0.393599	+	0.454237i
$498$	0.459547	+	1.00627i	0.0205928	+	0.0450919i
$499$	−25.2590	+	16.2330i	−1.13075	+	0.726688i	−0.965716	−	0.259600i	$-0.916409\pi$
$499$	−25.2590	+	16.2330i	−1.13075	+	0.726688i	−0.165033	+	0.986288i	$0.552773\pi$
$500$	−11.6523	−	3.42142i	−0.521106	−	0.153011i
$501$	−8.11854	+	9.36930i	−0.362710	+	0.418589i
$502$	9.66247	−	2.83716i	0.431257	−	0.126629i
$503$	3.79148	−	8.30218i	0.169054	−	0.370176i	−0.806076	−	0.591813i	$-0.798413\pi$
$503$	3.79148	−	8.30218i	0.169054	−	0.370176i	0.975129	+	0.221637i	$0.0711399\pi$
$504$	−0.142315	−	0.989821i	−0.00633921	−	0.0440902i
$505$	−32.3310			−1.43871
$506$	3.23746	−	15.2440i	0.143923	−	0.677677i
$507$	11.8624			0.526827
$508$	0.304180	+	2.11562i	0.0134958	+	0.0938655i
$509$	−16.3511	+	35.8040i	−0.724751	+	1.58698i	0.0823725	+	0.996602i	$0.473750\pi$
$509$	−16.3511	+	35.8040i	−0.724751	+	1.58698i	−0.807124	+	0.590382i	$0.798977\pi$
$510$	2.04041	−	0.599118i	0.0903508	−	0.0265294i
$511$	−10.1566	+	11.7214i	−0.449302	+	0.518522i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	−5.12989	+	3.29678i	−0.226490	+	0.145556i
$514$	7.66869	+	16.7921i	0.338252	+	0.740668i
$515$	−9.29862	−	10.7312i	−0.409746	−	0.472872i
$516$	5.31393	+	3.41506i	0.233933	+	0.150339i
$517$	5.90144	−	41.0454i	0.259545	−	1.80518i
$518$	−0.485500	+	3.37673i	−0.0213316	+	0.148365i
$519$	−0.167858	−	0.107876i	−0.00736815	−	0.00473522i
$520$	−1.22550	−	1.41430i	−0.0537417	−	0.0620213i
$521$	−11.2114	−	24.5496i	−0.491182	−	1.07554i	−0.979236	−	0.202725i	$-0.935020\pi$
$521$	−11.2114	−	24.5496i	−0.491182	−	1.07554i	0.488054	−	0.872814i	$-0.337707\pi$
$522$	2.59083	−	1.66503i	0.113398	−	0.0728763i
$523$	−7.52335	−	2.20906i	−0.328973	−	0.0965953i	0.113075	−	0.993586i	$-0.463930\pi$
$523$	−7.52335	−	2.20906i	−0.328973	−	0.0965953i	−0.442048	+	0.896991i	$0.645748\pi$
$524$	3.19064	−	3.68220i	0.139384	−	0.160857i
$525$	1.84370	−	0.541359i	0.0804656	−	0.0236268i
$526$	1.84100	−	4.03123i	0.0802714	−	0.175770i
$527$	−0.611988	−	4.25647i	−0.0266586	−	0.185415i
$528$	−3.24948			−0.141415
$529$	−21.0148	−	9.34770i	−0.913686	−	0.406422i
$530$	−1.45056			−0.0630082
$531$	−1.14530	−	7.96572i	−0.0497017	−	0.345683i
$532$	−2.53317	+	5.54686i	−0.109827	+	0.240487i
$533$	−7.94641	+	2.33328i	−0.344197	+	0.101065i
$534$	8.97798	−	10.3611i	0.388515	−	0.448370i
$535$	18.3847	+	5.39822i	0.794838	+	0.233386i
$536$	0.667144	−	0.428747i	0.0288162	−	0.0185191i
$537$	−2.38052	−	5.21262i	−0.102727	−	0.224941i
$538$	−0.546909	−	0.631167i	−0.0235789	−	0.0272115i
$539$	2.73364	+	1.75680i	0.117746	+	0.0756708i
$540$	−0.249699	+	1.73670i	−0.0107453	+	0.0747355i
$541$	0.122009	−	0.848594i	0.00524560	−	0.0364839i	−0.987031	−	0.160533i	$-0.948679\pi$
$541$	0.122009	−	0.848594i	0.00524560	−	0.0364839i	0.992276	+	0.124049i	$0.0395879\pi$
$542$	−0.573466	−	0.368545i	−0.0246325	−	0.0158303i
$543$	−1.48391	−	1.71252i	−0.0636805	−	0.0734912i
$544$	−0.503489	−	1.10249i	−0.0215869	−	0.0472688i
$545$	−3.04143	+	1.95461i	−0.130280	+	0.0837261i
$546$	1.02338	+	0.300493i	0.0437968	+	0.0128599i
$547$	14.3135	−	16.5187i	0.612003	−	0.706289i	−0.362165	−	0.932114i	$-0.617962\pi$
$547$	14.3135	−	16.5187i	0.612003	−	0.706289i	0.974168	+	0.225825i	$0.0725077\pi$
$548$	14.3488	−	4.21318i	0.612949	−	0.179978i
$549$	−2.05921	+	4.50905i	−0.0878851	+	0.192441i
$550$	−0.888612	−	6.18043i	−0.0378905	−	0.263534i
$551$	−18.7799			−0.800052
$552$	−0.996301	+	4.69120i	−0.0424054	+	0.199671i
$553$	−2.27445			−0.0967196
$554$	−2.38268	−	16.5719i	−0.101230	−	0.704073i
$555$	2.48650	−	5.44468i	0.105546	−	0.231114i
$556$	−4.83335	+	1.41920i	−0.204980	+	0.0601875i
$557$	1.35351	−	1.56203i	0.0573499	−	0.0661853i	−0.726350	−	0.687325i	$-0.758785\pi$
$557$	1.35351	−	1.56203i	0.0573499	−	0.0661853i	0.783700	+	0.621140i	$0.213330\pi$
$558$	3.40429	+	0.999590i	0.144115	+	0.0423160i
$559$	−5.66778	+	3.64246i	−0.239722	+	0.154060i
$560$	0.728869	+	1.59600i	0.0308003	+	0.0674433i
$561$	2.57912	+	2.97646i	0.108890	+	0.125666i
$562$	−6.20521	−	3.98785i	−0.261751	−	0.168217i
$563$	−4.22042	+	29.3537i	−0.177869	+	1.23711i	0.683811	+	0.729659i	$0.260321\pi$
$563$	−4.22042	+	29.3537i	−0.177869	+	1.23711i	−0.861681	+	0.507450i	$0.830588\pi$
$564$	−1.81612	+	12.6314i	−0.0764724	+	0.531877i
$565$	28.9286	+	18.5913i	1.21703	+	0.782141i
$566$	6.63020	+	7.65166i	0.278688	+	0.321623i
$567$	−0.415415	−	0.909632i	−0.0174458	−	0.0382010i
$568$	−11.2722	+	7.24422i	−0.472972	+	0.303961i
$569$	−22.0195	−	6.46550i	−0.923104	−	0.271048i	−0.214557	−	0.976712i	$-0.568831\pi$
$569$	−22.0195	−	6.46550i	−0.923104	−	0.271048i	−0.708547	+	0.705664i	$0.750649\pi$
$570$	7.00644	−	8.08586i	0.293468	−	0.338680i
$571$	−15.2683	+	4.48319i	−0.638960	+	0.187615i	−0.585136	−	0.810935i	$-0.698959\pi$
$571$	−15.2683	+	4.48319i	−0.638960	+	0.187615i	−0.0538234	+	0.998550i	$0.517141\pi$
$572$	1.43977	−	3.15266i	0.0601998	−	0.131819i
$573$	−1.17561	−	8.17652i	−0.0491116	−	0.341579i
$574$	7.76483			0.324098
$575$	−9.19500	−	0.612072i	−0.383458	−	0.0255252i
$576$	1.00000			0.0416667
$577$	−6.03530	−	41.9765i	−0.251253	−	1.74750i	−0.590712	−	0.806882i	$-0.701153\pi$
$577$	−6.03530	−	41.9765i	−0.251253	−	1.74750i	0.339459	−	0.940621i	$-0.389756\pi$
$578$	6.45182	−	14.1275i	0.268360	−	0.587627i
$579$	−6.66252	+	1.95629i	−0.276885	+	0.0813007i
$580$	−3.53858	+	4.08374i	−0.146932	+	0.169568i
$581$	1.06143	+	0.311663i	0.0440353	+	0.0129299i
$582$	−14.7135	+	9.45577i	−0.609893	+	0.391954i
$583$	−1.11600	−	2.44370i	−0.0462199	−	0.101208i
$584$	−10.1566	−	11.7214i	−0.420284	−	0.485033i
$585$	−1.57431	−	1.01175i	−0.0650899	−	0.0418307i
$586$	2.00708	−	13.9595i	0.0829116	−	0.576663i
$587$	1.75426	−	12.2011i	0.0724061	−	0.503595i	−0.921056	−	0.389431i	$-0.872672\pi$
$587$	1.75426	−	12.2011i	0.0724061	−	0.503595i	0.993462	−	0.114165i	$-0.0364191\pi$
$588$	−0.841254	−	0.540641i	−0.0346927	−	0.0222957i
$589$	−14.1682	−	16.3510i	−0.583791	−	0.673731i
$590$	5.86567	+	12.8440i	0.241486	+	0.528780i
$591$	−10.7486	+	6.90772i	−0.442139	+	0.284146i
$592$	−3.27326	−	0.961117i	−0.134530	−	0.0395017i
$593$	−3.84252	+	4.43451i	−0.157794	+	0.182104i	−0.829141	−	0.559039i	$-0.811170\pi$
$593$	−3.84252	+	4.43451i	−0.157794	+	0.182104i	0.671348	+	0.741142i	$0.265716\pi$
$594$	−3.11785	+	0.915484i	−0.127927	+	0.0375628i
$595$	0.883400	−	1.93438i	0.0362159	−	0.0793017i
$596$	−1.96155	−	13.6429i	−0.0803481	−	0.558833i
$597$	1.97920			0.0810033
$598$	−4.10998	−	3.04518i	−0.168070	−	0.124527i
$599$	−32.1537			−1.31376			−0.656882	−	0.753993i	$-0.728125\pi$
$599$	−32.1537			−1.31376			−0.656882	+	0.753993i	$0.728125\pi$
$600$	0.273463	+	1.90198i	0.0111641	+	0.0776478i
$601$	−4.02731	+	8.81858i	−0.164277	+	0.359717i	−0.973812	−	0.227355i	$-0.926992\pi$
$601$	−4.02731	+	8.81858i	−0.164277	+	0.359717i	0.809535	+	0.587072i	$0.199720\pi$
$602$	6.06081	−	1.77961i	0.247020	−	0.0725317i
$603$	0.519328	−	0.599336i	0.0211487	−	0.0244069i
$604$	−9.79953	−	2.87740i	−0.398737	−	0.117080i
$605$	0.650752	−	0.418213i	0.0264568	−	0.0170028i
$606$	7.65481	+	16.7617i	0.310955	+	0.680897i
$607$	1.72325	+	1.98874i	0.0699445	+	0.0807203i	0.789643	−	0.613566i	$-0.210266\pi$
$607$	1.72325	+	1.98874i	0.0699445	+	0.0807203i	−0.719699	+	0.694286i	$0.755720\pi$
$608$	−5.12989	−	3.29678i	−0.208045	−	0.133702i
$609$	0.438291	−	3.04838i	0.0177605	−	0.123527i
$610$	1.23776	−	8.60881i	0.0501154	−	0.348561i
$611$	−11.4503	−	7.35869i	−0.463231	−	0.297701i
$612$	−0.793701	−	0.915980i	−0.0320835	−	0.0370263i
$613$	15.2310	+	33.3512i	0.615174	+	1.34704i	0.918978	+	0.394308i	$0.129016\pi$
$613$	15.2310	+	33.3512i	0.615174	+	1.34704i	−0.303805	+	0.952734i	$0.598257\pi$
$614$	7.31385	−	4.70033i	0.295163	−	0.189690i
$615$	−13.0720	−	3.83828i	−0.527113	−	0.154774i
$616$	−2.12796	+	2.45579i	−0.0857378	+	0.0989467i
$617$	5.95408	−	1.74827i	0.239702	−	0.0703829i	−0.159675	−	0.987170i	$-0.551045\pi$
$617$	5.95408	−	1.74827i	0.239702	−	0.0703829i	0.399377	+	0.916787i	$0.369226\pi$
$618$	−3.36190	+	7.36153i	−0.135235	+	0.296124i
$619$	3.57605	+	24.8720i	0.143734	+	0.999689i	0.926210	+	0.377008i	$0.123047\pi$
$619$	3.57605	+	24.8720i	0.143734	+	0.999689i	−0.782476	+	0.622680i	$0.786044\pi$
$620$	−6.22518			−0.250009
$621$	0.365720	+	4.78187i	0.0146758	+	0.191890i
$622$	19.4853			0.781291
$623$	−1.95110	−	13.5702i	−0.0781692	−	0.543679i
$624$	−0.443077	+	0.970204i	−0.0177373	+	0.0388392i
$625$	11.2261	−	3.29628i	0.449044	−	0.131851i
$626$	22.2496	−	25.6774i	0.889274	−	1.02628i
$627$	19.0124	+	5.58254i	0.759282	+	0.222945i
$628$	−12.6602	+	8.13624i	−0.505198	+	0.324671i
$629$	1.71763	+	3.76108i	0.0684864	+	0.149964i
$630$	1.14899	+	1.32600i	0.0457768	+	0.0528293i
$631$	−24.5364	−	15.7686i	−0.976779	−	0.627738i	−0.0481862	−	0.998838i	$-0.515344\pi$
$631$	−24.5364	−	15.7686i	−0.976779	−	0.627738i	−0.928593	+	0.371101i	$0.878980\pi$
$632$	0.323688	−	2.25130i	0.0128756	−	0.0895520i
$633$	−1.97575	+	13.7416i	−0.0785288	+	0.546180i
$634$	5.90956	+	3.79785i	0.234699	+	0.150832i
$635$	−2.45582	−	2.83417i	−0.0974563	−	0.112471i
$636$	0.343439	+	0.752027i	0.0136182	+	0.0298198i
$637$	0.897272	−	0.576642i	0.0355512	−	0.0228474i
$638$	−9.60215	−	2.81945i	−0.380153	−	0.111623i
$639$	−8.77469	+	10.1265i	−0.347121	+	0.400599i
$640$	−1.68348	+	0.494315i	−0.0665455	+	0.0195395i
$641$	−6.76289	+	14.8087i	−0.267118	+	0.584907i	−0.994896	−	0.100906i	$-0.967826\pi$
$641$	−6.76289	+	14.8087i	−0.267118	+	0.584907i	0.727778	+	0.685813i	$0.240553\pi$
$642$	−1.55416	−	10.8094i	−0.0613380	−	0.426615i
$643$	20.7531			0.818423			0.409211	−	0.912440i	$-0.365804\pi$
$643$	20.7531			0.818423			0.409211	+	0.912440i	$0.365804\pi$
$644$	2.89294	+	3.82504i	0.113998	+	0.150728i
$645$	−11.0830			−0.436391
$646$	1.05182	+	7.31554i	0.0413831	+	0.287826i
$647$	−3.03127	+	6.63755i	−0.119171	+	0.260949i	−0.959812	−	0.280645i	$-0.909452\pi$
$647$	−3.03127	+	6.63755i	−0.119171	+	0.260949i	0.840640	+	0.541594i	$0.182179\pi$
$648$	0.959493	−	0.281733i	0.0376924	−	0.0110675i
$649$	−17.1250	+	19.7633i	−0.672215	+	0.775778i
$650$	−1.96647	−	0.577407i	−0.0771313	−	0.0226478i
$651$	2.98478	−	1.91820i	0.116983	−	0.0751801i
$652$	−8.12174	−	17.7841i	−0.318072	−	0.696481i
$653$	−11.2270	−	12.9566i	−0.439346	−	0.507032i	0.492287	−	0.870433i	$-0.336161\pi$
$653$	−11.2270	−	12.9566i	−0.439346	−	0.507032i	−0.931633	+	0.363401i	$0.881616\pi$
$654$	1.73345	+	1.11402i	0.0677831	+	0.0435615i
$655$	−1.21660	+	8.46161i	−0.0475363	+	0.330622i
$656$	−1.10505	+	7.68580i	−0.0431450	+	0.300080i
$657$	−13.0475	−	8.38511i	−0.509031	−	0.327134i
$658$	8.35686	+	9.64433i	0.325784	+	0.375975i
$659$	10.3876	+	22.7458i	0.404645	+	0.886049i	0.996778	+	0.0802087i	$0.0255587\pi$
$659$	10.3876	+	22.7458i	0.404645	+	0.886049i	−0.592133	+	0.805840i	$0.701714\pi$
$660$	4.79632	−	3.08241i	0.186696	−	0.119982i
$661$	33.8398	+	9.93625i	1.31621	+	0.386475i	0.863125	−	0.504990i	$-0.168504\pi$
$661$	33.8398	+	9.93625i	1.31621	+	0.386475i	0.453089	+	0.891465i	$0.350322\pi$
$662$	7.00857	−	8.08832i	0.272396	−	0.314361i
$663$	1.24036	−	0.364202i	0.0481715	−	0.0141444i
$664$	−0.459547	+	1.00627i	−0.0178339	+	0.0390507i
$665$	−1.52265	−	10.5902i	−0.0590456	−	0.410671i
$666$	−3.41145			−0.132191
$667$	−7.01442	+	12.9980i	−0.271600	+	0.503283i
$668$	−12.3974			−0.479668
$669$	2.41854	+	16.8213i	0.0935062	+	0.650350i
$670$	−0.578019	+	1.26568i	−0.0223308	+	0.0488977i
$671$	15.4552	−	4.53806i	0.596641	−	0.175190i
$672$	0.654861	−	0.755750i	0.0252618	−	0.0291537i
$673$	45.2685	+	13.2920i	1.74497	+	0.512370i	0.989715	−	0.143056i	$-0.0456929\pi$
$673$	45.2685	+	13.2920i	1.74497	+	0.512370i	0.755259	+	0.655427i	$0.227511\pi$
$674$	−29.6956	+	19.0842i	−1.14383	+	0.735095i
$675$	0.798234	+	1.74789i	0.0307240	+	0.0672763i
$676$	7.76821	+	8.96499i	0.298777	+	0.344807i
$677$	9.89667	+	6.36020i	0.380360	+	0.244443i	0.716825	−	0.697254i	$-0.245595\pi$
$677$	9.89667	+	6.36020i	0.380360	+	0.244443i	−0.336465	+	0.941696i	$0.609231\pi$
$678$	2.78922	−	19.3995i	0.107119	−	0.745032i
$679$	−2.48908	+	17.3119i	−0.0955220	+	0.664370i
$680$	1.78897	+	1.14970i	0.0686037	+	0.0440889i
$681$	2.35188	+	2.71422i	0.0901243	+	0.104009i
$682$	−4.78940	−	10.4873i	−0.183395	−	0.401580i
$683$	39.5146	−	25.3945i	1.51198	−	0.971693i	0.518831	−	0.854877i	$-0.326367\pi$
$683$	39.5146	−	25.3945i	1.51198	−	0.971693i	0.993154	−	0.116816i	$-0.0372689\pi$
$684$	−5.85091	−	1.71798i	−0.223715	−	0.0656886i
$685$	−17.1826	+	19.8298i	−0.656514	+	0.757658i
$686$	−0.959493	+	0.281733i	−0.0366336	+	0.0107566i
$687$	−6.00682	+	13.1531i	−0.229175	+	0.501822i
$688$	0.898957	+	6.25239i	0.0342724	+	0.238370i
$689$	−0.881789			−0.0335935
$690$	−2.97943	−	7.86941i	−0.113425	−	0.299583i
$691$	−36.4133			−1.38523			−0.692614	−	0.721309i	$-0.743541\pi$
$691$	−36.4133			−1.38523			−0.692614	+	0.721309i	$0.743541\pi$
$692$	−0.0283965	−	0.197502i	−0.00107947	−	0.00750791i
$693$	−1.34988	+	2.95583i	−0.0512778	+	0.112283i
$694$	19.4677	−	5.71622i	0.738983	−	0.216985i
$695$	5.78792	−	6.67962i	0.219548	−	0.253372i
$696$	2.95498	+	0.867661i	0.112008	+	0.0328886i
$697$	7.91712	−	5.08802i	0.299882	−	0.192723i
$698$	13.0144	+	28.4976i	0.492603	+	1.07865i
$699$	11.5836	+	13.3681i	0.438130	+	0.505629i
$700$	1.61650	+	1.03886i	0.0610979	+	0.0392652i
$701$	−0.422291	+	2.93710i	−0.0159497	+	0.110933i	−0.996241	−	0.0866249i	$-0.972392\pi$
$701$	−0.422291	+	2.93710i	−0.0159497	+	0.110933i	0.980291	+	0.197558i	$0.0633009\pi$
$702$	−0.151791	+	1.05573i	−0.00572900	+	0.0398461i
$703$	17.5004	+	11.2468i	0.660039	+	0.424181i
$704$	−2.12796	−	2.45579i	−0.0802004	−	0.0925562i
$705$	−9.30130	−	20.3670i	−0.350307	−	0.767066i
$706$	−2.08849	+	1.34219i	−0.0786012	+	0.0505139i
$707$	17.6805	+	5.19145i	0.664942	+	0.195245i
$708$	5.27008	−	6.08199i	0.198062	−	0.228575i
$709$	14.4068	−	4.23023i	0.541060	−	0.158870i	0.000227607	−	1.00000i	$-0.499928\pi$
$709$	14.4068	−	4.23023i	0.541060	−	0.158870i	0.540832	+	0.841130i	$0.318109\pi$
$710$	9.76635	−	21.3853i	0.366525	−	0.802577i
$711$	−0.323688	−	2.25130i	−0.0121393	−	0.0844305i
$712$	13.7097			0.513795
$713$	−16.6088	+	3.69890i	−0.622003	+	0.138525i
$714$	−1.21202			−0.0453585
$715$	0.865423	+	6.01915i	0.0323650	+	0.225103i
$716$	2.38052	−	5.21262i	0.0889643	−	0.194805i
$717$	−27.4831	+	8.06976i	−1.02637	+	0.301371i
$718$	13.1470	−	15.1725i	0.490643	−	0.566232i
$719$	−1.77928	−	0.522442i	−0.0663558	−	0.0194838i	0.248386	−	0.968661i	$-0.420100\pi$
$719$	−1.77928	−	0.522442i	−0.0663558	−	0.0194838i	−0.314742	+	0.949177i	$0.601918\pi$
$720$	−1.47603	+	0.948584i	−0.0550083	+	0.0353517i
$721$	3.36190	+	7.36153i	0.125204	+	0.274158i
$722$	11.9084	+	13.7430i	0.443183	+	0.511460i
$723$	−12.9651	−	8.33219i	−0.482179	−	0.309878i
$724$	0.322484	−	2.24292i	0.0119850	−	0.0833576i
$725$	−0.842192	+	5.85757i	−0.0312782	+	0.217545i
$726$	−0.370893	−	0.238358i	−0.0137651	−	0.00884631i
$727$	−9.70600	−	11.2013i	−0.359976	−	0.415434i	0.546656	−	0.837357i	$-0.315901\pi$
$727$	−9.70600	−	11.2013i	−0.359976	−	0.415434i	−0.906632	+	0.421923i	$0.861355\pi$
$728$	0.443077	+	0.970204i	0.0164215	+	0.0359581i
$729$	0.841254	−	0.540641i	0.0311575	−	0.0200237i
$730$	26.1101	+	7.66663i	0.966379	+	0.283755i
$731$	5.01356	−	5.78595i	0.185433	−	0.214001i
$732$	−4.75621	+	1.39655i	−0.175795	+	0.0516179i
$733$	−6.68452	+	14.6371i	−0.246898	+	0.540632i	−0.991988	−	0.126332i	$-0.959679\pi$
$733$	−6.68452	+	14.6371i	−0.246898	+	0.540632i	0.745090	+	0.666964i	$0.232407\pi$
$734$	1.39122	+	9.67615i	0.0513509	+	0.357153i
$735$	1.75456			0.0647178
$736$	−4.19781	+	2.31913i	−0.154733	+	0.0854843i
$737$	−2.57695			−0.0949233
$738$	1.10505	+	7.68580i	0.0406775	+	0.282918i
$739$	−20.2139	+	44.2623i	−0.743581	+	1.62822i	0.0339903	+	0.999422i	$0.489178\pi$
$739$	−20.2139	+	44.2623i	−0.743581	+	1.62822i	−0.777572	+	0.628794i	$0.783549\pi$
$740$	5.74312	−	1.68633i	0.211121	−	0.0619908i
$741$	4.25919	−	4.91537i	0.156465	−	0.180571i
$742$	0.793249	+	0.232919i	0.0291211	+	0.00855072i
$743$	16.7406	−	10.7585i	0.614153	−	0.394692i	−0.196259	−	0.980552i	$-0.562879\pi$
$743$	16.7406	−	10.7585i	0.614153	−	0.394692i	0.810412	+	0.585860i	$0.199243\pi$
$744$	1.47390	+	3.22738i	0.0540357	+	0.118322i
$745$	15.8367	+	18.2765i	0.580212	+	0.669600i
$746$	8.22041	+	5.28294i	0.300971	+	0.193422i
$747$	−0.157434	+	1.09498i	−0.00576020	+	0.0400631i
$748$	−0.560495	+	3.89833i	−0.0204937	+	0.142537i
$749$	−9.18700	−	5.90412i	−0.335686	−	0.215732i
$750$	−7.95277	−	9.17799i	−0.290394	−	0.335133i
$751$	2.64803	+	5.79839i	0.0966281	+	0.211586i	0.951773	−	0.306803i	$-0.0992592\pi$
$751$	2.64803	+	5.79839i	0.0966281	+	0.211586i	−0.855145	+	0.518389i	$0.826532\pi$
$752$	−10.7355	+	6.89927i	−0.391482	+	0.251590i
$753$	9.66247	+	2.83716i	0.352120	+	0.103392i
$754$	−2.15109	+	2.48249i	−0.0783382	+	0.0904070i
$755$	17.1938	−	5.04856i	0.625747	−	0.183736i
$756$	0.415415	−	0.909632i	0.0151085	−	0.0330830i
$757$	2.35598	+	16.3862i	0.0856294	+	0.595565i	0.986781	+	0.162061i	$0.0518141\pi$
$757$	2.35598	+	16.3862i	0.0856294	+	0.595565i	−0.901151	+	0.433505i	$0.857277\pi$
$758$	−6.50540			−0.236287
$759$	10.9650	−	11.0737i	0.398006	−	0.401951i
$760$	10.6991			0.388098
$761$	−0.145852	−	1.01442i	−0.00528712	−	0.0367728i	0.987007	−	0.160677i	$-0.0513676\pi$
$761$	−0.145852	−	1.01442i	−0.00528712	−	0.0367728i	−0.992294	+	0.123904i	$0.960459\pi$
$762$	−0.887898	+	1.94423i	−0.0321651	+	0.0704318i
$763$	1.97708	−	0.580524i	0.0715752	−	0.0210164i
$764$	5.40954	−	6.24294i	0.195710	−	0.225862i
$765$	2.04041	+	0.599118i	0.0737711	+	0.0216612i
$766$	−4.40226	+	2.82916i	−0.159060	+	0.102222i
$767$	3.56572	+	7.80784i	0.128751	+	0.281925i
$768$	0.654861	+	0.755750i	0.0236303	+	0.0272708i
$769$	−30.4814	−	19.5892i	−1.09919	−	0.706405i	−0.140277	−	0.990112i	$-0.544799\pi$
$769$	−30.4814	−	19.5892i	−1.09919	−	0.706405i	−0.958911	+	0.283707i	$0.908436\pi$
$770$	0.811393	−	5.64336i	0.0292406	−	0.203373i
$771$	−2.62718	+	18.2724i	−0.0946155	+	0.658065i
$772$	−5.84149	−	3.75410i	−0.210240	−	0.135113i
$773$	−2.54395	−	2.93588i	−0.0914995	−	0.105596i	0.708153	−	0.706059i	$-0.249529\pi$
$773$	−2.54395	−	2.93588i	−0.0914995	−	0.105596i	−0.799653	+	0.600463i	$0.794983\pi$
$774$	2.62404	+	5.74586i	0.0943193	+	0.206530i
$775$	−5.73535	+	3.68588i	−0.206020	+	0.132401i
$776$	−16.7815	−	4.92749i	−0.602420	−	0.176886i
$777$	−2.23403	+	2.57820i	−0.0801452	+	0.0924925i
$778$	−12.7032	+	3.73001i	−0.455433	+	0.133727i
$779$	19.6696	−	43.0704i	0.704737	−	1.54316i
$780$	−0.266327	−	1.85234i	−0.00953602	−	0.0663245i
$781$	43.5408			1.55801
$782$	5.45609	+	2.00442i	0.195109	+	0.0716778i
$783$	3.07973			0.110061
$784$	−0.142315	−	0.989821i	−0.00508267	−	0.0353508i
$785$	10.9689	−	24.0186i	0.391498	−	0.857261i
$786$	4.67488	−	1.37267i	0.166748	−	0.0489615i
$787$	15.8841	−	18.3312i	0.566206	−	0.653437i	−0.398375	−	0.917223i	$-0.630426\pi$
$787$	15.8841	−	18.3312i	0.566206	−	0.653437i	0.964581	+	0.263786i	$0.0849712\pi$
$788$	−12.2594	−	3.59967i	−0.436721	−	0.128233i
$789$	3.72819	−	2.39596i	0.132727	−	0.0852986i
$790$	1.65778	+	3.63003i	0.0589811	+	0.129151i
$791$	−12.8346	−	14.8119i	−0.456345	−	0.526651i
$792$	−2.73364	−	1.75680i	−0.0971355	−	0.0624252i
$793$	0.752431	−	5.23327i	0.0267196	−	0.185839i
$794$	0.844947	−	5.87673i	0.0299860	−	0.208557i
$795$	−1.22029	−	0.784230i	−0.0432791	−	0.0278138i
$796$	1.29610	+	1.49578i	0.0459391	+	0.0530165i
$797$	−9.34099	−	20.4539i	−0.330875	−	0.724515i	0.668948	−	0.743309i	$-0.266745\pi$
$797$	−9.34099	−	20.4539i	−0.330875	−	0.724515i	−0.999823	+	0.0187938i	$0.994017\pi$
$798$	−5.12989	+	3.29678i	−0.181596	+	0.116705i
$799$	14.8403	+	4.35752i	0.525014	+	0.154158i
$800$	−1.25834	+	1.45220i	−0.0444889	+	0.0513430i
$801$	13.1544	−	3.86248i	0.464788	−	0.136474i
$802$	5.24098	−	11.4761i	0.185065	−	0.405237i
$803$	7.17239	+	49.8851i	0.253108	+	1.76041i
$804$	0.793035			0.0279682
$805$	−7.89842	−	2.90166i	−0.278383	−	0.102270i
$806$	−3.78427			−0.133295
$807$	−0.118855	−	0.826653i	−0.00418388	−	0.0290996i
$808$	−7.65481	+	16.7617i	−0.269295	+	0.589674i
$809$	32.9201	−	9.66622i	1.15741	−	0.339846i	0.353984	−	0.935251i	$-0.384827\pi$
$809$	32.9201	−	9.66622i	1.15741	−	0.339846i	0.803426	+	0.595405i	$0.203008\pi$
$810$	−1.14899	+	1.32600i	−0.0403714	+	0.0465911i
$811$	2.49776	+	0.733408i	0.0877081	+	0.0257534i	0.325292	−	0.945614i	$-0.394537\pi$
$811$	2.49776	+	0.733408i	0.0877081	+	0.0257534i	−0.237584	+	0.971367i	$0.576356\pi$
$812$	2.59083	−	1.66503i	0.0909205	−	0.0584310i
$813$	−0.283180	−	0.620079i	−0.00993157	−	0.0217471i
$814$	7.25942	+	8.37782i	0.254443	+	0.293642i
$815$	28.8577	+	18.5457i	1.01084	+	0.649627i
$816$	0.172488	−	1.19968i	0.00603828	−	0.0419972i
$817$	5.48177	−	38.1265i	0.191783	−	1.33388i
$818$	−13.8446	−	8.89738i	−0.484065	−	0.311090i
$819$	0.698467	+	0.806074i	0.0244064	+	0.0281665i
$820$	−5.65954	−	12.3927i	−0.197640	−	0.432771i
$821$	26.1509	−	16.8062i	0.912673	−	0.586539i	0.00215012	−	0.999998i	$-0.499316\pi$
$821$	26.1509	−	16.8062i	0.912673	−	0.586539i	0.910523	+	0.413458i	$0.135679\pi$
$822$	14.3488	+	4.21318i	0.500471	+	0.146952i
$823$	16.2920	−	18.8020i	0.567903	−	0.655396i	−0.397056	−	0.917794i	$-0.629968\pi$
$823$	16.2920	−	18.8020i	0.567903	−	0.655396i	0.964960	+	0.262399i	$0.0845136\pi$
$824$	−7.76505	+	2.28002i	−0.270508	+	0.0794284i
$825$	2.59385	−	5.67973i	0.0903061	−	0.197743i
$826$	−1.14530	−	7.96572i	−0.0398500	−	0.277163i
$827$	−18.8601			−0.655829			−0.327914	−	0.944707i	$-0.606346\pi$
$827$	−18.8601			−0.655829			−0.327914	+	0.944707i	$0.606346\pi$
$828$	−3.37440	+	3.40785i	−0.117268	+	0.118431i
$829$	55.9286			1.94248			0.971240	−	0.238103i	$-0.0765255\pi$
$829$	55.9286			1.94248			0.971240	+	0.238103i	$0.0765255\pi$
$830$	−0.276226	−	1.92120i	−0.00958795	−	0.0666857i
$831$	6.95501	−	15.2294i	0.241267	−	0.528300i
$832$	−1.02338	+	0.300493i	−0.0354795	+	0.0104177i
$833$	−0.793701	+	0.915980i	−0.0275001	+	0.0317368i
$834$	−4.83335	−	1.41920i	−0.167365	−	0.0491429i
$835$	18.2988	−	11.7599i	0.633257	−	0.406970i
$836$	8.23147	+	18.0244i	0.284691	+	0.623387i
$837$	2.32345	+	2.68141i	0.0803103	+	0.0926830i
$838$	−21.3762	−	13.7376i	−0.738427	−	0.474558i
$839$	−0.684087	+	4.75793i	−0.0236173	+	0.164262i	−0.998217	−	0.0596931i	$-0.980988\pi$
$839$	−0.684087	+	4.75793i	−0.0236173	+	0.164262i	0.974599	+	0.223955i	$0.0718969\pi$
$840$	−0.249699	+	1.73670i	−0.00861545	+	0.0599217i
$841$	−16.4173	−	10.5507i	−0.566113	−	0.363819i
$842$	2.24916	+	2.59567i	0.0775113	+	0.0894529i
$843$	−3.06416	−	6.70958i	−0.105535	−	0.231090i
$844$	−11.6791	+	7.50567i	−0.402010	+	0.258356i
$845$	−19.9701	−	5.86376i	−0.686994	−	0.201720i
$846$	−8.35686	+	9.64433i	−0.287315	+	0.331579i
$847$	−0.423022	+	0.124211i	−0.0145352	+	0.00426793i
$848$	−0.343439	+	0.752027i	−0.0117938	+	0.0258247i
$849$	1.44088	+	10.0215i	0.0494509	+	0.343938i
$850$	2.32893			0.0798816
$851$	14.3206	−	7.91160i	0.490905	−	0.271206i
$852$	−13.3993			−0.459053
$853$	7.44343	+	51.7702i	0.254858	+	1.77258i	0.568153	+	0.822923i	$0.307658\pi$
$853$	7.44343	+	51.7702i	0.254858	+	1.77258i	−0.313295	+	0.949656i	$0.601433\pi$
$854$	−2.05921	+	4.50905i	−0.0704648	+	0.154296i
$855$	10.2657	−	3.01429i	0.351081	−	0.103087i
$856$	7.15148	−	8.25324i	0.244432	−	0.282090i
$857$	−52.7610	−	15.4920i	−1.80228	−	0.529198i	−0.804390	−	0.594102i	$-0.797508\pi$
$857$	−52.7610	−	15.4920i	−1.80228	−	0.529198i	−0.997892	+	0.0649041i	$0.979326\pi$
$858$	2.91567	−	1.87379i	0.0995392	−	0.0639700i
$859$	4.29700	+	9.40912i	0.146612	+	0.321035i	0.968663	−	0.248378i	$-0.0798977\pi$
$859$	4.29700	+	9.40912i	0.146612	+	0.321035i	−0.822051	+	0.569413i	$0.807170\pi$
$860$	−7.25780	−	8.37595i	−0.247489	−	0.285617i
$861$	6.53219	+	4.19798i	0.222617	+	0.143067i
$862$	2.66664	−	18.5469i	0.0908262	−	0.631710i
$863$	−1.62261	+	11.2855i	−0.0552343	+	0.384163i	0.943388	+	0.331691i	$0.107619\pi$
$863$	−1.62261	+	11.2855i	−0.0552343	+	0.384163i	−0.998622	+	0.0524721i	$0.983290\pi$
$864$	0.841254	+	0.540641i	0.0286200	+	0.0183930i
$865$	0.229262	+	0.264582i	0.00779513	+	0.00899606i
$866$	−3.93914	−	8.62552i	−0.133858	−	0.293107i
$867$	13.0655	−	8.39670i	0.443728	−	0.285167i
$868$	3.40429	+	0.999590i	0.115549	+	0.0339283i
$869$	−4.83994	+	5.58559i	−0.164184	+	0.189478i
$870$	−5.18468	+	1.52236i	−0.175777	+	0.0516128i
$871$	−0.351376	+	0.769406i	−0.0119059	+	0.0260703i
$872$	0.293247	+	2.03958i	0.00993060	+	0.0690688i
$873$	−17.4899			−0.591945
$874$	28.5452	−	6.35725i	0.965557	−	0.215037i
$875$	−12.1442			−0.410549
$876$	−2.20724	−	15.3517i	−0.0745758	−	0.518686i
$877$	−6.02170	+	13.1857i	−0.203338	+	0.445249i	−0.983638	−	0.180157i	$-0.942339\pi$
$877$	−6.02170	+	13.1857i	−0.203338	+	0.445249i	0.780300	+	0.625406i	$0.215067\pi$
$878$	−6.42705	+	1.88715i	−0.216902	+	0.0636883i
$879$	9.23555	−	10.6584i	0.311507	−	0.359499i
$880$	5.47045	+	1.60627i	0.184409	+	0.0541473i
$881$	−30.9577	+	19.8953i	−1.04299	+	0.670290i	−0.945725	−	0.324969i	$-0.894646\pi$
$881$	−30.9577	+	19.8953i	−1.04299	+	0.670290i	−0.0972663	+	0.995258i	$0.531010\pi$
$882$	−0.415415	−	0.909632i	−0.0139878	−	0.0306289i
$883$	30.2052	+	34.8586i	1.01649	+	1.17309i	0.984818	+	0.173588i	$0.0555361\pi$
$883$	30.2052	+	34.8586i	1.01649	+	1.17309i	0.0316667	+	0.999498i	$0.489918\pi$
$884$	1.08751	+	0.698898i	0.0365768	+	0.0235065i
$885$	−2.00949	+	13.9763i	−0.0675482	+	0.469808i
$886$	−4.25205	+	29.5737i	−0.142850	+	0.993547i
$887$	11.5886	+	7.44751i	0.389106	+	0.250063i	0.720537	−	0.693416i	$-0.243895\pi$
$887$	11.5886	+	7.44751i	0.389106	+	0.250063i	−0.331432	+	0.943479i	$0.607532\pi$
$888$	−2.23403	−	2.57820i	−0.0749690	−	0.0865188i
$889$	0.887898	+	1.94423i	0.0297791	+	0.0652072i
$890$	−20.2359	+	13.0049i	−0.678311	+	0.435924i
$891$	−3.11785	−	0.915484i	−0.104452	−	0.0306699i
$892$	−11.1289	+	12.8434i	−0.372623	+	0.430030i
$893$	74.6651	−	21.9236i	2.49857	−	0.733647i
$894$	5.72573	−	12.5376i	0.191497	−	0.419320i
$895$	1.43089	+	9.95209i	0.0478295	+	0.332662i
$896$	1.00000			0.0334077
$897$	−1.81119	−	4.78379i	−0.0604739	−	0.159726i
$898$	−6.14408			−0.205031
$899$	1.55506	+	10.8157i	0.0518642	+	0.360724i
$900$	−0.798234	+	1.74789i	−0.0266078	+	0.0582630i
$901$	0.961430	−	0.282301i	0.0320299	−	0.00940482i
$902$	16.5232	−	19.0688i	0.550163	−	0.634922i
$903$	6.06081	+	1.77961i	0.201691	+	0.0592219i
$904$	16.4877	−	10.5960i	0.548373	−	0.352418i
$905$	1.65161	+	3.61652i	0.0549013	+	0.120217i
$906$	−6.68825	−	7.71865i	−0.222202	−	0.256435i
$907$	−41.2853	−	26.5325i	−1.37086	−	0.880996i	−0.371973	−	0.928243i	$-0.621319\pi$
$907$	−41.2853	−	26.5325i	−1.37086	−	0.880996i	−0.998883	+	0.0472475i	$0.984955\pi$
$908$	−0.511113	+	3.55487i	−0.0169619	+	0.117972i
$909$	−2.62242	+	18.2393i	−0.0869802	+	0.604960i
$910$	−1.57431	−	1.01175i	−0.0521880	−	0.0335392i
$911$	29.2252	+	33.7276i	0.968273	+	1.11745i	0.993043	+	0.117753i	$0.0375691\pi$
$911$	29.2252	+	33.7276i	0.968273	+	1.11745i	−0.0247702	+	0.999693i	$0.507885\pi$
$912$	−2.53317	−	5.54686i	−0.0838815	−	0.183675i
$913$	3.02405	−	1.94344i	0.100081	−	0.0643184i
$914$	14.2607	+	4.18732i	0.471702	+	0.138504i
$915$	5.69554	−	6.57301i	0.188289	−	0.217297i
$916$	−13.8741	+	4.07380i	−0.458413	+	0.134602i
$917$	2.02400	−	4.43195i	0.0668385	−	0.146356i
$918$	−0.172488	−	1.19968i	−0.00569294	−	0.0395953i
$919$	−14.8586			−0.490139			−0.245069	−	0.969506i	$-0.578811\pi$
$919$	−14.8586			−0.490139			−0.245069	+	0.969506i	$0.578811\pi$
$920$	3.99619	−	7.40508i	0.131751	−	0.244138i
$921$	8.69399			0.286477
$922$	−0.805176	−	5.60012i	−0.0265171	−	0.184430i
$923$	5.93693	−	13.0001i	0.195417	−	0.427903i
$924$	−3.11785	+	0.915484i	−0.102570	+	0.0301172i
$925$	4.29276	−	4.95410i	0.141145	−	0.162890i
$926$	−15.0422	−	4.41679i	−0.494317	−	0.145145i
$927$	−6.80815	+	4.37533i	−0.223609	+	0.143705i
$928$	1.27937	+	2.80142i	0.0419973	+	0.0919612i
$929$	13.2121	+	15.2476i	0.433474	+	0.500256i	0.929895	−	0.367826i	$-0.119898\pi$
$929$	13.2121	+	15.2476i	0.433474	+	0.500256i	−0.496420	+	0.868082i	$0.665352\pi$
$930$	−5.23696	−	3.36559i	−0.171727	−	0.110362i
$931$	−0.867824	+	6.03585i	−0.0284418	+	0.197817i
$932$	−2.51735	+	17.5085i	−0.0824585	+	0.573511i
$933$	16.3921	+	10.5346i	0.536653	+	0.344886i
$934$	13.2190	+	15.2555i	0.432537	+	0.499175i
$935$	−2.87059	−	6.28572i	−0.0938783	−	0.205565i
$936$	−0.897272	+	0.576642i	−0.0293283	+	0.0188481i
$937$	−33.7843	−	9.91996i	−1.10368	−	0.324071i	−0.321370	−	0.946954i	$-0.604143\pi$
$937$	−33.7843	−	9.91996i	−1.10368	−	0.324071i	−0.782315	+	0.622883i	$0.785961\pi$
$938$	0.519328	−	0.599336i	0.0169567	−	0.0195690i
$939$	32.5999	−	9.57218i	1.06386	−	0.312376i
$940$	9.30130	−	20.3670i	0.303375	−	0.664299i
$941$	6.51417	+	45.3070i	0.212356	+	1.47697i	0.765260	+	0.643722i	$0.222611\pi$
$941$	6.51417	+	45.3070i	0.212356	+	1.47697i	−0.552904	+	0.833245i	$0.686480\pi$
$942$	−15.0493			−0.490331
$943$	−22.4632	−	29.7008i	−0.731501	−	0.967191i
$944$	8.04763			0.261928
$945$	0.249699	+	1.73670i	0.00812272	+	0.0564948i
$946$	8.52678	−	18.6710i	0.277229	−	0.607048i
$947$	44.2674	−	12.9981i	1.43850	−	0.422381i	0.532777	−	0.846256i	$-0.321148\pi$
$947$	44.2674	−	12.9981i	1.43850	−	0.422381i	0.905721	+	0.423874i	$0.139330\pi$
$948$	1.48945	−	1.71892i	0.0483751	−	0.0558278i
$949$	15.8723	+	4.66052i	0.515236	+	0.151287i
$950$	9.85726	−	6.33488i	0.319812	−	0.205531i
$951$	2.91817	+	6.38990i	0.0946282	+	0.207207i
$952$	−0.793701	−	0.915980i	−0.0257240	−	0.0296871i
$953$	33.4738	+	21.5123i	1.08432	+	0.696852i	0.955552	−	0.294822i	$-0.0952605\pi$
$953$	33.4738	+	21.5123i	1.08432	+	0.696852i	0.128771	+	0.991674i	$0.458897\pi$
$954$	−0.117657	+	0.818323i	−0.00380929	+	0.0264942i
$955$	−2.06267	+	14.3462i	−0.0667463	+	0.464231i
$956$	−24.0963	−	15.4858i	−0.779330	−	0.500845i
$957$	−6.55354	−	7.56318i	−0.211846	−	0.244483i
$958$	13.6109	+	29.8036i	0.439747	+	0.962912i
$959$	12.5806	−	8.08504i	0.406248	−	0.261079i
$960$	−1.68348	−	0.494315i	−0.0543342	−	0.0159540i
$961$	12.0571	−	13.9146i	0.388937	−	0.448857i
$962$	3.49123	−	1.02512i	0.112562	−	0.0330511i
$963$	4.53658	−	9.93373i	0.146189	−	0.320110i
$964$	−2.19331	−	15.2548i	−0.0706419	−	0.491325i
$965$	12.1833			0.392193
$966$	0.365720	+	4.78187i	0.0117669	+	0.153854i
$967$	−20.3588			−0.654696			−0.327348	−	0.944904i	$-0.606155\pi$
$967$	−20.3588			−0.654696			−0.327348	+	0.944904i	$0.606155\pi$
$968$	−0.0627439	−	0.436394i	−0.00201667	−	0.0140262i
$969$	−3.07023	+	6.72288i	−0.0986301	+	0.215970i
$970$	29.4440	−	8.64555i	0.945391	−	0.277592i
$971$	−14.0977	+	16.2696i	−0.452416	+	0.522116i	−0.935437	−	0.353493i	$-0.884994\pi$
$971$	−14.0977	+	16.2696i	−0.452416	+	0.522116i	0.483021	+	0.875609i	$0.339539\pi$
$972$	0.959493	+	0.281733i	0.0307758	+	0.00903658i
$973$	−4.23773	+	2.72342i	−0.135855	+	0.0873090i
$974$	−1.74307	−	3.81680i	−0.0558516	−	0.122298i
$975$	−1.34213	−	1.54890i	−0.0429825	−	0.0496045i
$976$	−4.17010	−	2.67996i	−0.133481	−	0.0857833i
$977$	4.24063	−	29.4942i	0.135670	−	0.943604i	−0.802308	−	0.596910i	$-0.796395\pi$
$977$	4.24063	−	29.4942i	0.135670	−	0.943604i	0.937978	−	0.346694i	$-0.112696\pi$
$978$	2.78239	−	19.3519i	0.0889709	−	0.618806i
$979$	−37.4775	−	24.0853i	−1.19778	−	0.769770i
$980$	1.14899	+	1.32600i	0.0367031	+	0.0423577i
$981$	0.855984	+	1.87434i	0.0273295	+	0.0598432i
$982$	−21.8748	+	14.0581i	−0.698054	+	0.448612i
$983$	−44.9962	−	13.2121i	−1.43516	−	0.421400i	−0.530552	−	0.847652i	$-0.678015\pi$
$983$	−44.9962	−	13.2121i	−1.43516	−	0.421400i	−0.904604	+	0.426253i	$0.859833\pi$
$984$	−5.08488	+	5.86827i	−0.162100	+	0.187074i
$985$	21.5097	−	6.31583i	0.685357	−	0.201239i
$986$	1.55061	−	3.39537i	0.0493815	−	0.108130i
$987$	1.81612	+	12.6314i	0.0578077	+	0.402062i
$988$	6.50397			0.206919
$989$	−24.3406	−	18.0345i	−0.773987	−	0.573465i
$990$	5.70139			0.181202
$991$	−4.73706	−	32.9470i	−0.150478	−	1.04659i	−0.915421	−	0.402497i	$-0.868142\pi$
$991$	−4.73706	−	32.9470i	−0.150478	−	1.04659i	0.764944	−	0.644097i	$-0.222767\pi$
$992$	−1.47390	+	3.22738i	−0.0467963	+	0.102470i
$993$	10.2689	−	3.01521i	0.325872	−	0.0956848i
$994$	−8.77469	+	10.1265i	−0.278316	+	0.321194i
$995$	−3.33195	−	0.978350i	−0.105630	−	0.0310158i
$996$	−0.930625	+	0.598076i	−0.0294880	+	0.0189508i
$997$	13.2478	+	29.0086i	0.419562	+	0.918712i	0.994907	+	0.100801i	$0.0321406\pi$
$997$	13.2478	+	29.0086i	0.419562	+	0.918712i	−0.575345	+	0.817911i	$0.695132\pi$
$998$	−19.6625	−	22.6917i	−0.622405	−	0.718294i
$999$	−2.86990	−	1.84437i	−0.0907995	−	0.0583533i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.g.463.2	yes	30
23.8	even	11	inner	966.2.q.g.169.2	✓	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.g.169.2	✓	30	23.8	even	11	inner
966.2.q.g.463.2	yes	30	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14899 - 1.32600i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14899 - 1.32600i) q^{5} +(-0.959493 - 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(1.47603 + 0.948584i) q^{10} +(-0.462449 + 3.21640i) q^{11} +(0.142315 - 0.989821i) q^{12} +(0.897272 + 0.576642i) q^{13} +(-0.654861 - 0.755750i) q^{14} +(0.728869 + 1.59600i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.16292 - 0.341464i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-5.85091 + 1.71798i) q^{19} +(-0.728869 + 1.59600i) q^{20} +(-0.142315 - 0.989821i) q^{21} -3.24948 q^{22} +(-0.996301 + 4.69120i) q^{23} +1.00000 q^{24} +(0.273463 + 1.90198i) q^{25} +(-0.443077 + 0.970204i) q^{26} +(0.959493 - 0.281733i) q^{27} +(0.654861 - 0.755750i) q^{28} +(2.95498 + 0.867661i) q^{29} +(-1.47603 + 0.948584i) q^{30} +(1.47390 + 3.22738i) q^{31} +(0.654861 + 0.755750i) q^{32} +(-2.73364 - 1.75680i) q^{33} +(0.172488 - 1.19968i) q^{34} +(-0.249699 + 1.73670i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-2.23403 - 2.57820i) q^{37} +(-2.53317 - 5.54686i) q^{38} +(-0.897272 + 0.576642i) q^{39} +(-1.68348 - 0.494315i) q^{40} +(-5.08488 + 5.86827i) q^{41} +(0.959493 - 0.281733i) q^{42} +(-2.62404 + 5.74586i) q^{43} +(-0.462449 - 3.21640i) q^{44} -1.75456 q^{45} +(-4.78524 - 0.318533i) q^{46} -12.7613 q^{47} +(0.142315 + 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-1.84370 + 0.541359i) q^{50} +(0.793701 - 0.915980i) q^{51} +(-1.02338 - 0.300493i) q^{52} +(-0.695496 + 0.446968i) q^{53} +(0.415415 + 0.909632i) q^{54} +(3.73362 + 4.30883i) q^{55} +(0.841254 + 0.540641i) q^{56} +(0.867824 - 6.03585i) q^{57} +(-0.438291 + 3.04838i) q^{58} +(6.77010 + 4.35088i) q^{59} +(-1.14899 - 1.32600i) q^{60} +(-2.05921 - 4.50905i) q^{61} +(-2.98478 + 1.91820i) q^{62} +(0.959493 + 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(1.79559 - 0.527232i) q^{65} +(1.34988 - 2.95583i) q^{66} +(0.112861 + 0.784963i) q^{67} +1.21202 q^{68} +(-3.85339 - 2.85506i) q^{69} -1.75456 q^{70} +(-1.90692 - 13.2629i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(14.8813 - 4.36955i) q^{73} +(2.23403 - 2.57820i) q^{74} +(-1.84370 - 0.541359i) q^{75} +(5.12989 - 3.29678i) q^{76} +(-1.34988 - 2.95583i) q^{77} +(-0.698467 - 0.806074i) q^{78} +(1.91339 + 1.22966i) q^{79} +(0.249699 - 1.73670i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-6.53219 - 4.19798i) q^{82} +(-0.724430 - 0.836037i) q^{83} +(0.415415 + 0.909632i) q^{84} +(-1.78897 + 1.14970i) q^{85} +(-6.06081 - 1.77961i) q^{86} +(-2.01680 + 2.32751i) q^{87} +(3.11785 - 0.915484i) q^{88} +(-5.69524 + 12.4708i) q^{89} +(-0.249699 - 1.73670i) q^{90} -1.06659 q^{91} +(-0.365720 - 4.78187i) q^{92} -3.54801 q^{93} +(-1.81612 - 12.6314i) q^{94} +(-4.44458 + 9.73227i) q^{95} +(-0.959493 + 0.281733i) q^{96} +(11.4535 - 13.2180i) q^{97} +(0.959493 + 0.281733i) q^{98} +(2.73364 - 1.75680i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} + 3 q^{3} - 3 q^{4} - 10 q^{5} - 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} + 10 q^{10} + 9 q^{11} + 3 q^{12} - 12 q^{13} - 3 q^{14} - q^{15} - 3 q^{16} + 5 q^{17} + 3 q^{18} + 18 q^{19} + q^{20} - 3 q^{21} + 2 q^{22} + 21 q^{23} + 30 q^{24} + 13 q^{25} - 10 q^{26} + 3 q^{27} + 3 q^{28} + 17 q^{29} - 10 q^{30} + 12 q^{31} + 3 q^{32} + 13 q^{33} + 17 q^{34} - q^{35} - 3 q^{36} + 16 q^{37} + 15 q^{38} + 12 q^{39} - 12 q^{40} + 10 q^{41} + 3 q^{42} - 35 q^{43} + 9 q^{44} + 12 q^{45} + q^{46} - 8 q^{47} + 3 q^{48} - 3 q^{49} - 2 q^{50} + 6 q^{51} - q^{52} + 42 q^{53} - 3 q^{54} + 49 q^{55} - 3 q^{56} + 15 q^{57} + 5 q^{58} - 6 q^{59} + 10 q^{60} - 18 q^{61} - 34 q^{62} + 3 q^{63} - 3 q^{64} + 34 q^{65} - 2 q^{66} + 72 q^{67} - 6 q^{68} - 10 q^{69} + 12 q^{70} + 17 q^{71} + 3 q^{72} + 9 q^{73} - 16 q^{74} - 2 q^{75} + 18 q^{76} + 2 q^{77} + 10 q^{78} - 56 q^{79} + q^{80} - 3 q^{81} + 12 q^{82} + 52 q^{83} - 3 q^{84} - 53 q^{85} - 31 q^{86} + 5 q^{87} + 13 q^{88} - 104 q^{89} - q^{90} + 34 q^{91} - 12 q^{92} + 32 q^{93} - 14 q^{94} - 92 q^{95} - 3 q^{96} - 82 q^{97} + 3 q^{98} - 13 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 + 3 * q^3 - 3 * q^4 - 10 * q^5 - 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 + 10 * q^10 + 9 * q^11 + 3 * q^12 - 12 * q^13 - 3 * q^14 - q^15 - 3 * q^16 + 5 * q^17 + 3 * q^18 + 18 * q^19 + q^20 - 3 * q^21 + 2 * q^22 + 21 * q^23 + 30 * q^24 + 13 * q^25 - 10 * q^26 + 3 * q^27 + 3 * q^28 + 17 * q^29 - 10 * q^30 + 12 * q^31 + 3 * q^32 + 13 * q^33 + 17 * q^34 - q^35 - 3 * q^36 + 16 * q^37 + 15 * q^38 + 12 * q^39 - 12 * q^40 + 10 * q^41 + 3 * q^42 - 35 * q^43 + 9 * q^44 + 12 * q^45 + q^46 - 8 * q^47 + 3 * q^48 - 3 * q^49 - 2 * q^50 + 6 * q^51 - q^52 + 42 * q^53 - 3 * q^54 + 49 * q^55 - 3 * q^56 + 15 * q^57 + 5 * q^58 - 6 * q^59 + 10 * q^60 - 18 * q^61 - 34 * q^62 + 3 * q^63 - 3 * q^64 + 34 * q^65 - 2 * q^66 + 72 * q^67 - 6 * q^68 - 10 * q^69 + 12 * q^70 + 17 * q^71 + 3 * q^72 + 9 * q^73 - 16 * q^74 - 2 * q^75 + 18 * q^76 + 2 * q^77 + 10 * q^78 - 56 * q^79 + q^80 - 3 * q^81 + 12 * q^82 + 52 * q^83 - 3 * q^84 - 53 * q^85 - 31 * q^86 + 5 * q^87 + 13 * q^88 - 104 * q^89 - q^90 + 34 * q^91 - 12 * q^92 + 32 * q^93 - 14 * q^94 - 92 * q^95 - 3 * q^96 - 82 * q^97 + 3 * q^98 - 13 * q^99

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