LMFDB - Embedded newform 950.2.x.a.159.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.15
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(0.415578 + 0.374188i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-1.68108 + 1.47444i) q^{5} +(-0.374188 - 0.415578i) q^{6} -0.399754i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.280897 - 2.67256i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(0.415578 + 0.374188i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-1.68108 + 1.47444i) q^{5} +(-0.374188 - 0.415578i) q^{6} -0.399754i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.280897 - 2.67256i) q^{9} +(1.82599 - 1.29065i) q^{10} +(-0.856364 - 0.622185i) q^{11} +(0.328698 + 0.452414i) q^{12} +(2.23171 - 0.234562i) q^{13} +(-0.0417857 + 0.397564i) q^{14} +(-1.25034 - 0.0162925i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.00828578 - 0.0389815i) q^{17} +2.68728i q^{18} +(-1.36780 + 4.13873i) q^{19} +(-1.95089 + 1.09271i) q^{20} +(0.149583 - 0.166129i) q^{21} +(0.786637 + 0.708291i) q^{22} +(-3.40210 - 7.64124i) q^{23} +(-0.279607 - 0.484294i) q^{24} +(0.652034 - 4.95730i) q^{25} -2.24401 q^{26} +(1.86940 - 2.57301i) q^{27} +(0.0831135 - 0.391018i) q^{28} +(-2.06086 - 0.438049i) q^{29} +(1.24178 + 0.146899i) q^{30} +(-0.317938 + 0.978512i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-0.123072 - 0.579007i) q^{33} +(0.00416571 + 0.0396341i) q^{34} +(0.589415 + 0.672017i) q^{35} +(0.280897 - 2.67256i) q^{36} +(-3.36623 - 4.63321i) q^{37} +(1.79292 - 3.97309i) q^{38} +(1.01522 + 0.737601i) q^{39} +(2.05443 - 0.882798i) q^{40} +(-0.506671 - 0.225585i) q^{41} +(-0.166129 + 0.149583i) q^{42} +(9.21245 - 5.31881i) q^{43} +(-0.708291 - 0.786637i) q^{44} +(4.41274 + 4.07861i) q^{45} +(2.58473 + 7.95499i) q^{46} +(0.652538 - 3.06995i) q^{47} +(0.227453 + 0.510868i) q^{48} +6.84020 q^{49} +(-1.16664 + 4.86199i) q^{50} +(0.0111430 - 0.0193003i) q^{51} +(2.23171 + 0.234562i) q^{52} +(1.82084 - 8.56637i) q^{53} +(-2.12811 + 2.36351i) q^{54} +(2.35699 - 0.216720i) q^{55} +(-0.123531 + 0.380189i) q^{56} +(-2.11709 + 1.20815i) q^{57} +(2.00378 + 0.651068i) q^{58} +(-1.37458 - 0.612004i) q^{59} +(-1.21963 - 0.275896i) q^{60} +(13.6888 - 6.09464i) q^{61} +(0.418479 - 0.939918i) q^{62} +(-1.06837 + 0.112290i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-3.40583 + 3.68485i) q^{65} +(0.0618748 + 0.588700i) q^{66} +(-8.67447 + 7.81052i) q^{67} -0.0398524i q^{68} +(1.44542 - 4.44855i) q^{69} +(-0.515941 - 0.729946i) q^{70} +(8.43631 - 9.36947i) q^{71} +(-0.558717 + 2.62856i) q^{72} +(-8.26184 - 0.868354i) q^{73} +(2.86348 + 4.95970i) q^{74} +(2.12593 - 1.81616i) q^{75} +(-2.19840 + 3.76391i) q^{76} +(-0.248721 + 0.342335i) q^{77} +(-0.932559 - 0.839679i) q^{78} +(-1.87187 + 2.07892i) q^{79} +(-2.13545 + 0.663216i) q^{80} +(-6.14600 + 1.30637i) q^{81} +(0.480316 + 0.277310i) q^{82} +(-3.90522 - 1.26888i) q^{83} +(0.180854 - 0.131398i) q^{84} +(0.0714051 + 0.0533140i) q^{85} +(-9.71795 + 4.32671i) q^{86} +(-0.692534 - 0.953192i) q^{87} +(0.622185 + 0.856364i) q^{88} +(4.78592 - 2.13083i) q^{89} +(-3.96224 - 4.51752i) q^{90} +(-0.0937673 - 0.892136i) q^{91} +(-1.73905 - 8.18159i) q^{92} +(-0.498275 + 0.287679i) q^{93} +(-0.969861 + 2.98492i) q^{94} +(-3.80295 - 8.97427i) q^{95} +(-0.172807 - 0.531845i) q^{96} +(-8.63472 - 7.77474i) q^{97} +(-6.80273 - 0.714995i) q^{98} +(-1.42227 + 2.46345i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	0.415578	+	0.374188i	0.239934	+	0.216037i	0.780321	−	0.625379i	$-0.215056\pi$
$3$	0.415578	+	0.374188i	0.239934	+	0.216037i	−0.540387	+	0.841416i	$0.681722\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	−1.68108	+	1.47444i	−0.751800	+	0.659391i
$5$	−1.68108	+	1.47444i	−0.751800	+	0.659391i
$6$	−0.374188	−	0.415578i	−0.152762	−	0.169659i
$7$		−	0.399754i		−	0.151093i	−0.997142	−	0.0755464i	$-0.975930\pi$
$7$		−	0.399754i		−	0.151093i	0.997142	−	0.0755464i	$-0.0240701\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	−0.280897	−	2.67256i	−0.0936324	−	0.890853i
$10$	1.82599	−	1.29065i	0.577428	−	0.408138i
$11$	−0.856364	−	0.622185i	−0.258203	−	0.187596i	0.451151	−	0.892448i	$-0.351014\pi$
$11$	−0.856364	−	0.622185i	−0.258203	−	0.187596i	−0.709355	+	0.704852i	$0.751014\pi$
$12$	0.328698	+	0.452414i	0.0948870	+	0.130601i
$13$	2.23171	−	0.234562i	0.618966	−	0.0650559i	0.210144	−	0.977670i	$-0.432607\pi$
$13$	2.23171	−	0.234562i	0.618966	−	0.0650559i	0.408821	+	0.912614i	$0.365940\pi$
$14$	−0.0417857	+	0.397564i	−0.0111677	+	0.106253i
$15$	−1.25034	−	0.0162925i	−0.322835	−	0.00420670i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−0.00828578	−	0.0389815i	−0.00200960	−	0.00945441i	0.977131	−	0.212636i	$-0.0682050\pi$
$17$	−0.00828578	−	0.0389815i	−0.00200960	−	0.00945441i	−0.979141	+	0.203182i	$0.934872\pi$
$18$			2.68728i			0.633398i
$19$	−1.36780	+	4.13873i	−0.313795	+	0.949491i
$19$	−1.36780	+	4.13873i	−0.313795	+	0.949491i
$20$	−1.95089	+	1.09271i	−0.436233	+	0.244337i
$21$	0.149583	−	0.166129i	0.0326417	−	0.0362523i
$22$	0.786637	+	0.708291i	0.167712	+	0.151008i
$23$	−3.40210	−	7.64124i	−0.709386	−	1.59331i	−0.801804	−	0.597588i	$-0.796126\pi$
$23$	−3.40210	−	7.64124i	−0.709386	−	1.59331i	0.0924171	−	0.995720i	$-0.470541\pi$
$24$	−0.279607	−	0.484294i	−0.0570746	−	0.0988561i
$25$	0.652034	−	4.95730i	0.130407	−	0.991461i
$26$	−2.24401			−0.440086
$27$	1.86940	−	2.57301i	0.359766	−	0.495175i
$28$	0.0831135	−	0.391018i	0.0157070	−	0.0738955i
$29$	−2.06086	−	0.438049i	−0.382692	−	0.0813437i	0.0125488	−	0.999921i	$-0.496005\pi$
$29$	−2.06086	−	0.438049i	−0.382692	−	0.0813437i	−0.395241	+	0.918578i	$0.629339\pi$
$30$	1.24178	+	0.146899i	0.226718	+	0.0268200i
$31$	−0.317938	+	0.978512i	−0.0571033	+	0.175746i	−0.975540	−	0.219822i	$-0.929452\pi$
$31$	−0.317938	+	0.978512i	−0.0571033	+	0.175746i	0.918437	+	0.395568i	$0.129452\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	−0.123072	−	0.579007i	−0.0214240	−	0.100792i
$34$	0.00416571	+	0.0396341i	0.000714413	+	0.00679719i
$35$	0.589415	+	0.672017i	0.0996292	+	0.113592i
$36$	0.280897	−	2.67256i	0.0468162	−	0.445426i
$37$	−3.36623	−	4.63321i	−0.553404	−	0.761696i	0.437065	−	0.899430i	$-0.356018\pi$
$37$	−3.36623	−	4.63321i	−0.553404	−	0.761696i	−0.990469	+	0.137734i	$0.956018\pi$
$38$	1.79292	−	3.97309i	0.290851	−	0.644520i
$39$	1.01522	+	0.737601i	0.162565	+	0.118111i
$40$	2.05443	−	0.882798i	0.324833	−	0.139583i
$41$	−0.506671	−	0.225585i	−0.0791288	−	0.0352304i	0.366791	−	0.930304i	$-0.380457\pi$
$41$	−0.506671	−	0.225585i	−0.0791288	−	0.0352304i	−0.445919	+	0.895073i	$0.647123\pi$
$42$	−0.166129	+	0.149583i	−0.0256342	+	0.0230812i
$43$	9.21245	−	5.31881i	1.40489	−	0.811111i	0.409997	−	0.912087i	$-0.365530\pi$
$43$	9.21245	−	5.31881i	1.40489	−	0.811111i	0.994889	+	0.100976i	$0.0321965\pi$
$44$	−0.708291	−	0.786637i	−0.106779	−	0.118590i
$45$	4.41274	+	4.07861i	0.657813	+	0.608003i
$46$	2.58473	+	7.95499i	0.381098	+	1.17290i
$47$	0.652538	−	3.06995i	0.0951825	−	0.447798i	−0.904586	−	0.426291i	$-0.859820\pi$
$47$	0.652538	−	3.06995i	0.0951825	−	0.447798i	0.999769	−	0.0215075i	$-0.00684659\pi$
$48$	0.227453	+	0.510868i	0.0328300	+	0.0737375i
$49$	6.84020			0.977171
$50$	−1.16664	+	4.86199i	−0.164988	+	0.687589i
$51$	0.0111430	−	0.0193003i	0.00156034	−	0.00270258i
$52$	2.23171	+	0.234562i	0.309483	+	0.0325280i
$53$	1.82084	−	8.56637i	0.250111	−	1.17668i	−0.656371	−	0.754438i	$-0.727909\pi$
$53$	1.82084	−	8.56637i	0.250111	−	1.17668i	0.906483	−	0.422243i	$-0.138757\pi$
$54$	−2.12811	+	2.36351i	−0.289599	+	0.321632i
$55$	2.35699	−	0.216720i	0.317816	−	0.0292225i
$56$	−0.123531	+	0.380189i	−0.0165075	+	0.0508048i
$57$	−2.11709	+	1.20815i	−0.280416	+	0.160023i
$58$	2.00378	+	0.651068i	0.263109	+	0.0854894i
$59$	−1.37458	−	0.612004i	−0.178956	−	0.0796761i	0.315303	−	0.948991i	$-0.397894\pi$
$59$	−1.37458	−	0.612004i	−0.178956	−	0.0796761i	−0.494259	+	0.869315i	$0.664560\pi$
$60$	−1.21963	−	0.275896i	−0.157453	−	0.0356180i
$61$	13.6888	−	6.09464i	1.75267	−	0.780339i	0.761433	−	0.648244i	$-0.224496\pi$
$61$	13.6888	−	6.09464i	1.75267	−	0.780339i	0.991237	−	0.132095i	$-0.0421705\pi$
$62$	0.418479	−	0.939918i	0.0531468	−	0.119370i
$63$	−1.06837	+	0.112290i	−0.134601	+	0.0141472i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	−3.40583	+	3.68485i	−0.422441	+	0.457050i
$66$	0.0618748	+	0.588700i	0.00761626	+	0.0724639i
$67$	−8.67447	+	7.81052i	−1.05975	+	0.954207i	−0.999034	−	0.0439475i	$-0.986007\pi$
$67$	−8.67447	+	7.81052i	−1.05975	+	0.954207i	−0.0607208	+	0.998155i	$0.519340\pi$
$68$		−	0.0398524i		−	0.00483281i
$69$	1.44542	−	4.44855i	0.174008	−	0.535543i
$70$	−0.515941	−	0.729946i	−0.0616667	−	0.0872452i
$71$	8.43631	−	9.36947i	1.00121	−	1.11195i	0.00749501	−	0.999972i	$-0.497614\pi$
$71$	8.43631	−	9.36947i	1.00121	−	1.11195i	0.993711	−	0.111979i	$-0.0357191\pi$
$72$	−0.558717	+	2.62856i	−0.0658454	+	0.309778i
$73$	−8.26184	−	0.868354i	−0.966975	−	0.101633i	−0.392143	−	0.919904i	$-0.628266\pi$
$73$	−8.26184	−	0.868354i	−0.966975	−	0.101633i	−0.574832	+	0.818271i	$0.694933\pi$
$74$	2.86348	+	4.95970i	0.332873	+	0.576553i
$75$	2.12593	−	1.81616i	0.245482	−	0.209712i
$76$	−2.19840	+	3.76391i	−0.252174	+	0.431750i
$77$	−0.248721	+	0.342335i	−0.0283444	+	0.0390127i
$78$	−0.932559	−	0.839679i	−0.105591	−	0.0950750i
$79$	−1.87187	+	2.07892i	−0.210602	+	0.233897i	−0.839186	−	0.543845i	$-0.816968\pi$
$79$	−1.87187	+	2.07892i	−0.210602	+	0.233897i	0.628584	+	0.777742i	$0.283635\pi$
$80$	−2.13545	+	0.663216i	−0.238751	+	0.0741498i
$81$	−6.14600	+	1.30637i	−0.682889	+	0.145152i
$82$	0.480316	+	0.277310i	0.0530420	+	0.0306238i
$83$	−3.90522	−	1.26888i	−0.428653	−	0.139278i	0.0867413	−	0.996231i	$-0.472355\pi$
$83$	−3.90522	−	1.26888i	−0.428653	−	0.139278i	−0.515395	+	0.856953i	$0.672355\pi$
$84$	0.180854	−	0.131398i	0.0197328	−	0.0143367i
$85$	0.0714051	+	0.0533140i	0.00774497	+	0.00578272i
$86$	−9.71795	+	4.32671i	−1.04791	+	0.466561i
$87$	−0.692534	−	0.953192i	−0.0742475	−	0.102193i
$88$	0.622185	+	0.856364i	0.0663251	+	0.0912887i
$89$	4.78592	−	2.13083i	0.507307	−	0.225867i	−0.137090	−	0.990559i	$-0.543775\pi$
$89$	4.78592	−	2.13083i	0.507307	−	0.225867i	0.644397	+	0.764691i	$0.277108\pi$
$90$	−3.96224	−	4.51752i	−0.417657	−	0.476188i
$91$	−0.0937673	−	0.892136i	−0.00982948	−	0.0935213i
$92$	−1.73905	−	8.18159i	−0.181309	−	0.852990i
$93$	−0.498275	+	0.287679i	−0.0516687	+	0.0298310i
$94$	−0.969861	+	2.98492i	−0.100033	+	0.307871i
$95$	−3.80295	−	8.97427i	−0.390174	−	0.920741i
$96$	−0.172807	−	0.531845i	−0.0176370	−	0.0542812i
$97$	−8.63472	−	7.77474i	−0.876723	−	0.789405i	0.101959	−	0.994789i	$-0.467489\pi$
$97$	−8.63472	−	7.77474i	−0.876723	−	0.789405i	−0.978682	+	0.205384i	$0.934156\pi$
$98$	−6.80273	−	0.714995i	−0.687179	−	0.0722254i
$99$	−1.42227	+	2.46345i	−0.142944	+	0.247586i
$100$	1.66847	−	4.71341i	0.166847	−	0.471341i
$101$	−6.58078	+	11.3982i	−0.654812	+	1.13417i	0.327129	+	0.944980i	$0.393919\pi$
$101$	−6.58078	+	11.3982i	−0.654812	+	1.13417i	−0.981941	+	0.189188i	$0.939414\pi$
$102$	−0.0130994	+	0.0180298i	−0.00129704	+	0.00178522i
$103$	18.3572	−	5.96463i	1.80879	−	0.587712i	0.808792	−	0.588094i	$-0.200122\pi$
$103$	18.3572	−	5.96463i	1.80879	−	0.587712i	1.00000		0.000382263i	$0.000121678\pi$
$104$	−2.19497	−	0.466555i	−0.215234	−	0.0457495i
$105$	−0.00651298	+	0.499827i	−0.000635601	+	0.0487781i
$106$	−2.70629	+	8.32911i	−0.262858	+	0.808995i
$107$		−	9.52546i		−	0.920861i	−0.887696	−	0.460430i	$-0.847695\pi$
$107$		−	9.52546i		−	0.920861i	0.887696	−	0.460430i	$-0.152305\pi$
$108$	2.36351	−	2.12811i	0.227428	−	0.204777i
$109$	16.5129	+	7.35204i	1.58165	+	0.704197i	0.994447	−	0.105240i	$-0.0335610\pi$
$109$	16.5129	+	7.35204i	1.58165	+	0.704197i	0.587206	+	0.809437i	$0.300228\pi$
$110$	−2.36673	−	0.0308396i	−0.225659	−	0.00294044i
$111$	0.334763	−	3.18506i	0.0317743	−	0.302313i
$112$	0.162595	−	0.365193i	0.0153637	−	0.0345075i
$113$	−4.99167	−	6.87045i	−0.469577	−	0.646317i	0.506883	−	0.862015i	$-0.330797\pi$
$113$	−4.99167	−	6.87045i	−0.469577	−	0.646317i	−0.976460	+	0.215698i	$0.930797\pi$
$114$	2.23178	−	0.980235i	0.209025	−	0.0918075i
$115$	16.9858	+	7.82930i	1.58393	+	0.730086i
$116$	−1.92475	−	0.856953i	−0.178708	−	0.0795661i
$117$	−1.25376	−	5.89849i	−0.115910	−	0.545316i
$118$	1.30308	+	0.752335i	0.119958	+	0.0692580i
$119$	−0.0155830	+	0.00331227i	−0.00142849	+	0.000303636i
$120$	1.18411	+	0.401870i	0.108094	+	0.0366856i
$121$	−3.05294	−	9.39599i	−0.277540	−	0.854181i
$122$	−14.2509	+	4.63039i	−1.29021	+	0.419216i
$123$	−0.126150	−	0.283338i	−0.0113746	−	0.0255477i
$124$	−0.514434	+	0.891026i	−0.0461976	+	0.0800165i
$125$	6.21314	+	9.29499i	0.555720	+	0.831369i
$126$	1.07425			0.0957018
$127$	0.983502	+	2.20898i	0.0872717	+	0.196015i	0.951909	−	0.306381i	$-0.0991183\pi$
$127$	0.983502	+	2.20898i	0.0872717	+	0.196015i	−0.864637	+	0.502397i	$0.832452\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	5.81872	+	1.23681i	0.512310	+	0.108895i
$130$	3.77234	−	3.30866i	0.330857	−	0.290189i
$131$	6.04242	−	1.28436i	0.527929	−	0.112215i	0.0637664	−	0.997965i	$-0.479689\pi$
$131$	6.04242	−	1.28436i	0.527929	−	0.112215i	0.464162	+	0.885750i	$0.346355\pi$
$132$		−	0.591942i		−	0.0515220i
$133$	1.65448	+	0.546784i	0.143461	+	0.0474122i
$134$	9.44337	−	6.86101i	0.815783	−	0.592701i
$135$	0.651151	+	7.08174i	0.0560421	+	0.609499i
$136$	−0.00416571	+	0.0396341i	−0.000357207	+	0.00339859i
$137$	−16.6160	+	1.74641i	−1.41960	+	0.149206i	−0.783016	−	0.622001i	$-0.786320\pi$
$137$	−16.6160	+	1.74641i	−1.41960	+	0.149206i	−0.636584	+	0.771207i	$0.719653\pi$
$138$	−1.90250	+	4.27309i	−0.161952	+	0.363750i
$139$	−9.40983	+	4.18952i	−0.798131	+	0.355351i	−0.764943	−	0.644098i	$-0.777233\pi$
$139$	−9.40983	+	4.18952i	−0.798131	+	0.355351i	−0.0331883	+	0.999449i	$0.510566\pi$
$140$	0.436814	+	0.779878i	0.0369175	+	0.0659117i
$141$	1.41992	−	1.03163i	0.119579	−	0.0868790i
$142$	−9.36947	+	8.43631i	−0.786268	+	0.707959i
$143$	−2.05710	−	1.18767i	−0.172023	−	0.0993177i
$144$	0.830415	−	2.55575i	0.0692012	−	0.212980i
$145$	4.11034	−	2.30223i	0.341345	−	0.191189i
$146$	8.12581	+	1.72719i	0.672497	+	0.142944i
$147$	2.84263	+	2.55952i	0.234456	+	0.211105i
$148$	−2.32937	−	5.23184i	−0.191473	−	0.430055i
$149$	−5.70031	−	9.87323i	−0.466988	−	0.808847i	0.532301	−	0.846555i	$-0.321327\pi$
$149$	−5.70031	−	9.87323i	−0.466988	−	0.808847i	−0.999289	+	0.0377086i	$0.987994\pi$
$150$	−2.30413	+	1.58399i	−0.188131	+	0.129332i
$151$	−20.6632			−1.68155			−0.840775	−	0.541385i	$-0.817900\pi$
$151$	−20.6632			−1.68155			−0.840775	+	0.541385i	$0.817900\pi$
$152$	2.57980	−	3.51350i	0.209249	−	0.284982i
$153$	−0.101853	+	0.0330940i	−0.00823432	+	0.00267549i
$154$	0.283142	−	0.314461i	0.0228162	−	0.0253400i
$155$	−0.908283	−	2.11373i	−0.0729551	−	0.169779i
$156$	0.839679	+	0.932559i	0.0672282	+	0.0746644i
$157$	−3.89405	+	2.24823i	−0.310779	+	0.179428i	−0.647275	−	0.762257i	$-0.724091\pi$
$157$	−3.89405	+	2.24823i	−0.310779	+	0.179428i	0.336496	+	0.941685i	$0.390758\pi$
$158$	2.07892	−	1.87187i	0.165390	−	0.148918i
$159$	3.96213	−	2.87866i	0.314217	−	0.228292i
$160$	2.19308	−	0.436367i	0.173378	−	0.0344979i
$161$	−3.05461	+	1.36000i	−0.240737	+	0.107183i
$162$	6.24888	−	0.656784i	0.490959	−	0.0516018i
$163$	−8.51500	−	11.7199i	−0.666946	−	0.917973i	0.332740	−	0.943019i	$-0.392027\pi$
$163$	−8.51500	−	11.7199i	−0.666946	−	0.917973i	−0.999686	+	0.0250458i	$0.992027\pi$
$164$	−0.448698	−	0.325998i	−0.0350374	−	0.0254562i
$165$	1.06061	+	0.791893i	0.0825681	+	0.0616488i
$166$	3.75119	+	1.67014i	0.291149	+	0.129628i
$167$	−17.8902	+	16.1084i	−1.38438	+	1.24650i	−0.448690	+	0.893688i	$0.648109\pi$
$167$	−17.8902	+	16.1084i	−1.38438	+	1.24650i	−0.935693	+	0.352816i	$0.885224\pi$
$168$	−0.193599	+	0.111774i	−0.0149365	+	0.00862356i
$169$	−7.79040	+	1.65590i	−0.599261	+	0.127377i
$170$	−0.0654411	−	0.0604858i	−0.00501910	−	0.00463905i
$171$	11.4452	+	2.49297i	0.875238	+	0.190642i
$172$	10.1170	−	3.28721i	0.771413	−	0.250647i
$173$	21.4298	+	2.25236i	1.62928	+	0.171244i	0.874598	−	0.484848i	$-0.161125\pi$
$173$	21.4298	+	2.25236i	1.62928	+	0.171244i	0.754681	+	0.656092i	$0.227792\pi$
$174$	0.589105	+	1.02036i	0.0446599	+	0.0773533i
$175$	−1.98170	−	0.260653i	−0.149803	−	0.0197035i
$176$	−0.529262	−	0.916709i	−0.0398946	−	0.0690995i
$177$	−0.342242	−	0.768688i	−0.0257245	−	0.0577781i
$178$	−4.98243	+	1.61889i	−0.373449	+	0.121341i
$179$	5.73679	+	17.6560i	0.428788	+	1.31967i	0.899320	+	0.437291i	$0.144062\pi$
$179$	5.73679	+	17.6560i	0.428788	+	1.31967i	−0.470532	+	0.882383i	$0.655938\pi$
$180$	3.46833	+	4.90694i	0.258514	+	0.365742i
$181$	2.80792	+	3.11851i	0.208711	+	0.231797i	0.838407	−	0.545045i	$-0.183487\pi$
$181$	2.80792	+	3.11851i	0.208711	+	0.231797i	−0.629696	+	0.776841i	$0.716821\pi$
$182$			0.897050i			0.0664938i
$183$	7.96929	+	2.58938i	0.589107	+	0.191413i
$184$	0.874315	+	8.31855i	0.0644554	+	0.613252i
$185$	12.4903	+	2.82547i	0.918305	+	0.207733i
$186$	0.525616	−	0.234019i	0.0385401	−	0.0171591i
$187$	−0.0171581	+	0.0385377i	−0.00125472	+	0.00281815i
$188$	1.27656	−	2.86719i	0.0931025	−	0.209112i
$189$	−1.02857	−	0.747299i	−0.0748174	−	0.0543580i
$190$	2.84405	+	9.32263i	0.206329	+	0.676334i
$191$	−12.9851	+	9.43423i	−0.939569	+	0.682637i	−0.948317	−	0.317325i	$-0.897215\pi$
$191$	−12.9851	+	9.43423i	−0.939569	+	0.682637i	0.00874797	+	0.999962i	$0.497215\pi$
$192$	0.116267	+	0.546995i	0.00839087	+	0.0394759i
$193$	9.19917	−	5.31114i	0.662171	−	0.382305i	−0.130933	−	0.991391i	$-0.541797\pi$
$193$	9.19917	−	5.31114i	0.662171	−	0.382305i	0.793104	+	0.609087i	$0.208464\pi$
$194$	7.77474	+	8.63472i	0.558194	+	0.619937i
$195$	−2.79421	+	0.256922i	−0.200098	+	0.0183986i
$196$	6.69072	+	1.42216i	0.477909	+	0.101583i
$197$	−3.85776	+	1.25346i	−0.274854	+	0.0893056i	−0.443201	−	0.896422i	$-0.646157\pi$
$197$	−3.85776	+	1.25346i	−0.274854	+	0.0893056i	0.168347	+	0.985728i	$0.446157\pi$
$198$	1.67198	−	2.30129i	0.118823	−	0.163545i
$199$	2.20273	−	3.81525i	0.156148	−	0.270456i	−0.777329	−	0.629095i	$-0.783426\pi$
$199$	2.20273	−	3.81525i	0.156148	−	0.270456i	0.933476	+	0.358639i	$0.116759\pi$
$200$	−2.15201	+	4.51319i	−0.152170	+	0.319130i
$201$	−6.52752			−0.460415
$202$	7.73617	−	10.6479i	0.544315	−	0.749185i
$203$	−0.175112	+	0.823837i	−0.0122904	+	0.0578220i
$204$	0.0149123	−	0.0165618i	0.00104407	−	0.00115956i
$205$	1.18436	−	0.367833i	0.0827196	−	0.0256906i
$206$	−18.8801	+	4.01310i	−1.31544	+	0.279606i
$207$	−19.4660	+	11.2387i	−1.35298	+	0.781144i
$208$	2.13418	+	0.693436i	0.147979	+	0.0480811i
$209$	3.74639	−	2.69324i	0.259144	−	0.186295i
$210$	0.0587234	−	0.496408i	0.00405230	−	0.0342554i
$211$	−1.73936	+	16.5489i	−0.119742	+	1.13927i	0.755352	+	0.655319i	$0.227466\pi$
$211$	−1.73936	+	16.5489i	−0.119742	+	1.13927i	−0.875095	+	0.483952i	$0.839201\pi$
$212$	3.56210	−	8.00060i	0.244646	−	0.549483i
$213$	7.01188	−	0.736978i	0.480446	−	0.0504969i
$214$	−0.995681	+	9.47328i	−0.0680634	+	0.647580i
$215$	−7.64455	+	22.5246i	−0.521354	+	1.53616i
$216$	−2.57301	+	1.86940i	−0.175071	+	0.127196i
$217$	0.391164	+	0.127097i	0.0265540	+	0.00862790i
$218$	−15.6540	−	9.03783i	−1.06022	−	0.612119i
$219$	−3.10851	−	3.45235i	−0.210053	−	0.233288i
$220$	2.35054	+	0.278061i	0.158474	+	0.0187469i
$221$	−0.0276351	−	0.0850521i	−0.00185894	−	0.00572122i
$222$	−0.665859	+	3.13262i	−0.0446895	+	0.210248i
$223$	20.6171	+	2.16694i	1.38062	+	0.145109i	0.765557	−	0.643368i	$-0.222463\pi$
$223$	20.6171	+	2.16694i	1.38062	+	0.145109i	0.615064	+	0.788477i	$0.289130\pi$
$224$	−0.199877	+	0.346197i	−0.0133548	+	0.0231313i
$225$	−13.4318	−	0.350106i	−0.895455	−	0.0233404i
$226$	4.24617	+	7.35458i	0.282451	+	0.489219i
$227$	−2.79826	+	3.85148i	−0.185727	+	0.255632i	−0.891720	−	0.452587i	$-0.850501\pi$
$227$	−2.79826	+	3.85148i	−0.185727	+	0.255632i	0.705993	+	0.708219i	$0.250501\pi$
$228$	−2.32202	+	0.741581i	−0.153779	+	0.0491124i
$229$	−4.35696	−	13.4093i	−0.287916	−	0.886114i	−0.985510	−	0.169620i	$-0.945746\pi$
$229$	−4.35696	−	13.4093i	−0.287916	−	0.886114i	0.697594	−	0.716494i	$-0.254254\pi$
$230$	−16.0743	−	9.56191i	−1.05991	−	0.630493i
$231$	−0.231460	+	0.0491984i	−0.0152290	+	0.00323702i
$232$	1.82463	+	1.05345i	0.119793	+	0.0691624i
$233$	0.246135	+	1.15797i	0.0161248	+	0.0758614i	0.985474	−	0.169825i	$-0.0543201\pi$
$233$	0.246135	+	1.15797i	0.0161248	+	0.0758614i	−0.969349	+	0.245686i	$0.920987\pi$
$234$	0.630335	+	5.99723i	0.0412063	+	0.392052i
$235$	3.42950	+	6.12295i	0.223716	+	0.399417i
$236$	−1.21730	−	0.884422i	−0.0792397	−	0.0575710i
$237$	−1.55581	+	0.163523i	−0.101061	+	0.0106219i
$238$	0.0158439	−	0.00166526i	0.00102701	−	0.000107943i
$239$	−2.48197	−	1.80326i	−0.160545	−	0.116643i	0.504612	−	0.863346i	$-0.331636\pi$
$239$	−2.48197	−	1.80326i	−0.160545	−	0.116643i	−0.665157	+	0.746703i	$0.731636\pi$
$240$	−1.13561	−	0.523441i	−0.0733035	−	0.0337880i
$241$	0.0301881	+	0.287221i	0.00194459	+	0.0185015i	0.995451	−	0.0952732i	$-0.0303725\pi$
$241$	0.0301881	+	0.287221i	0.00194459	+	0.0185015i	−0.993507	+	0.113775i	$0.963706\pi$
$242$	2.05407	+	9.66364i	0.132041	+	0.621202i
$243$	−11.3059	−	6.52747i	−0.725275	−	0.418738i
$244$	14.6568	−	3.11540i	0.938306	−	0.199443i
$245$	−11.4989	+	10.0855i	−0.734637	+	0.644338i
$246$	0.0958423	+	0.294972i	0.00611068	+	0.0188067i
$247$	−2.08175	+	9.55730i	−0.132459	+	0.608116i
$248$	0.604754	−	0.832372i	0.0384019	−	0.0528557i
$249$	−1.14812	−	1.98860i	−0.0727592	−	0.126023i
$250$	−5.20752	−	9.89352i	−0.329352	−	0.625721i
$251$	−11.1114	+	19.2454i	−0.701342	+	1.21476i	0.266653	+	0.963793i	$0.414082\pi$
$251$	−11.1114	+	19.2454i	−0.701342	+	1.21476i	−0.967995	+	0.250968i	$0.919251\pi$
$252$	−1.06837	−	0.112290i	−0.0673007	−	0.00707359i
$253$	−1.84083	+	8.66041i	−0.115732	+	0.544476i
$254$	−0.747213	−	2.29968i	−0.0468843	−	0.144295i
$255$	0.00972491	+	0.0488750i	0.000608997	+	0.00306067i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	10.4674	+	6.04333i	0.652936	+	0.376973i	0.789580	−	0.613648i	$-0.210298\pi$
$257$	10.4674	+	6.04333i	0.652936	+	0.376973i	−0.136644	+	0.990620i	$0.543632\pi$
$258$	−5.65757	−	1.83825i	−0.352225	−	0.114445i
$259$	−1.85215	+	1.34566i	−0.115087	+	0.0836154i
$260$	−4.09753	+	2.89622i	−0.254118	+	0.179616i
$261$	−0.591822	+	5.63081i	−0.0366329	+	0.348539i
$262$	−6.14357	+	0.645715i	−0.379551	+	0.0398924i
$263$	−3.91322	+	8.78924i	−0.241300	+	0.541968i	−0.993079	−	0.117447i	$-0.962529\pi$
$263$	−3.91322	+	8.78924i	−0.241300	+	0.541968i	0.751780	+	0.659415i	$0.229196\pi$
$264$	−0.0618748	+	0.588700i	−0.00380813	+	0.0362320i
$265$	9.56966	+	17.0854i	0.587859	+	1.04955i
$266$	−1.58826	−	0.716729i	−0.0973823	−	0.0439455i
$267$	2.78625	+	0.905308i	0.170516	+	0.0554039i
$268$	−10.1088	+	5.83632i	−0.617494	+	0.356510i
$269$	−16.1963	+	3.44263i	−0.987507	+	0.209901i	−0.673232	−	0.739431i	$-0.735095\pi$
$269$	−16.1963	+	3.44263i	−0.987507	+	0.209901i	−0.314275	+	0.949332i	$0.601761\pi$
$270$	0.0926598	−	7.11101i	0.00563910	−	0.432762i
$271$	−11.1658	+	12.4008i	−0.678271	+	0.753296i	−0.979761	−	0.200173i	$-0.935850\pi$
$271$	−11.1658	+	12.4008i	−0.678271	+	0.753296i	0.301489	+	0.953470i	$0.402516\pi$
$272$	0.00828578	−	0.0389815i	0.000502399	−	0.00236360i
$273$	0.294859	−	0.405838i	0.0178457	−	0.0245625i
$274$	16.7075			1.00934
$275$	−3.64274	+	3.83957i	−0.219665	+	0.231535i
$276$	2.33874	−	4.05082i	0.140776	−	0.243831i
$277$	17.6762	−	24.3292i	1.06206	−	1.46180i	0.184197	−	0.982889i	$-0.441032\pi$
$277$	17.6762	−	24.3292i	1.06206	−	1.46180i	0.877863	−	0.478911i	$-0.158968\pi$
$278$	9.79620	−	3.18298i	0.587537	−	0.190902i
$279$	2.70444	+	0.574846i	0.161910	+	0.0344151i
$280$	−0.352902	−	0.821265i	−0.0210899	−	0.0490800i
$281$	10.0212	+	11.1297i	0.597817	+	0.663943i	0.963784	−	0.266685i	$-0.0859282\pi$
$281$	10.0212	+	11.1297i	0.597817	+	0.663943i	−0.365967	+	0.930628i	$0.619262\pi$
$282$	−1.51997	+	0.877557i	−0.0905131	+	0.0522578i
$283$	1.49924	+	7.05338i	0.0891206	+	0.419280i	0.999978	+	0.00655942i	$0.00208794\pi$
$283$	1.49924	+	7.05338i	0.0891206	+	0.419280i	−0.910858	+	0.412720i	$0.864579\pi$
$284$	10.2000	−	7.41072i	0.605257	−	0.439745i
$285$	1.77764	−	5.15252i	0.105298	−	0.305209i
$286$	1.92169	+	1.39619i	0.113632	+	0.0825582i
$287$	−0.0901783	+	0.202544i	−0.00532306	+	0.0119558i
$288$	−1.09301	+	2.45495i	−0.0644065	+	0.144659i
$289$	15.5288	−	6.91388i	0.913460	−	0.406699i
$290$	−4.32847	+	1.85997i	−0.254177	+	0.109221i
$291$	−0.679185	−	6.46201i	−0.0398145	−	0.378810i
$292$	−7.90075	−	2.56711i	−0.462357	−	0.150229i
$293$			1.22113i			0.0713390i	0.999364	+	0.0356695i	$0.0113564\pi$
$293$			1.22113i			0.0713390i	−0.999364	+	0.0356695i	$0.988644\pi$
$294$	−2.55952	−	2.84263i	−0.149274	−	0.165786i
$295$	3.21315	−	0.997920i	0.187077	−	0.0581012i
$296$	1.76973	+	5.44667i	0.102863	+	0.316581i
$297$	−3.20177	+	1.04032i	−0.185786	+	0.0603654i
$298$	4.63705	+	10.4150i	0.268617	+	0.603324i
$299$	−9.38485	−	16.2550i	−0.542740	−	0.940053i
$300$	2.45708	−	1.33447i	0.141859	−	0.0770455i
$301$	−2.12622	−	3.68271i	−0.122553	−	0.212268i
$302$	20.5500	+	2.15990i	1.18252	+	0.124288i
$303$	−6.99991	+	2.27441i	−0.402134	+	0.130661i
$304$	−2.93292	+	3.22459i	−0.168215	+	0.184943i
$305$	−14.0257	+	30.4289i	−0.803109	+	1.74235i
$306$	0.104754	−	0.0222662i	0.00598840	−	0.00127287i
$307$	−13.9660	+	8.06325i	−0.797080	+	0.460194i	−0.842449	−	0.538776i	$-0.818887\pi$
$307$	−13.9660	+	8.06325i	−0.797080	+	0.460194i	0.0453694	+	0.998970i	$0.485554\pi$
$308$	−0.314461	+	0.283142i	−0.0179181	+	0.0161335i
$309$	9.86075	+	4.39029i	0.560958	+	0.249755i
$310$	0.682362	+	2.19710i	0.0387556	+	0.124787i
$311$	13.3366	+	9.68960i	0.756249	+	0.549447i	0.897758	−	0.440490i	$-0.145195\pi$
$311$	13.3366	+	9.68960i	0.756249	+	0.549447i	−0.141509	+	0.989937i	$0.545195\pi$
$312$	−0.737601	−	1.01522i	−0.0417584	−	0.0574755i
$313$	−12.2833	+	1.29103i	−0.694294	+	0.0729732i	−0.445101	−	0.895481i	$-0.646832\pi$
$313$	−12.2833	+	1.29103i	−0.694294	+	0.0729732i	−0.249193	+	0.968454i	$0.580165\pi$
$314$	4.10772	−	1.82888i	0.231812	−	0.103209i
$315$	1.63044	−	1.76401i	0.0918648	−	0.0993908i
$316$	−2.26320	+	1.64431i	−0.127315	+	0.0924996i
$317$	17.9062	−	16.1228i	1.00571	−	0.905549i	0.0101796	−	0.999948i	$-0.496760\pi$
$317$	17.9062	−	16.1228i	1.00571	−	0.905549i	0.995534	+	0.0943992i	$0.0300930\pi$
$318$	−4.24133	+	2.44873i	−0.237842	+	0.137318i
$319$	1.49230	+	1.65736i	0.0835527	+	0.0927946i
$320$	−2.22668	+	0.204738i	−0.124475	+	0.0114452i
$321$	3.56431	−	3.95857i	0.198940	−	0.220946i
$322$	3.18004	−	1.03326i	0.177217	−	0.0575812i
$323$	0.172667	+	0.0190264i	0.00960748	+	0.00105866i
$324$	−6.28330			−0.349072
$325$	0.292355	−	11.2162i	0.0162169	−	0.622164i
$326$	7.24329	+	12.5457i	0.401169	+	0.694845i
$327$	4.11137	+	9.23428i	0.227359	+	0.510657i
$328$	0.412164	+	0.371114i	0.0227579	+	0.0204913i
$329$	−1.22722	−	0.260855i	−0.0676591	−	0.0143814i
$330$	−0.972021	−	0.898418i	−0.0535080	−	0.0494563i
$331$	−2.53649	+	7.80650i	−0.139418	+	0.429084i	−0.996251	−	0.0865097i	$-0.972429\pi$
$331$	−2.53649	+	7.80650i	−0.139418	+	0.429084i	0.856833	+	0.515594i	$0.172429\pi$
$332$	−3.55606	−	2.05309i	−0.195164	−	0.112678i
$333$	−11.4370	+	10.2979i	−0.626742	+	0.564321i
$334$	19.4759	−	14.1501i	1.06568	−	0.774259i
$335$	3.06626	−	25.9201i	0.167528	−	1.41617i
$336$	0.204222	−	0.0909253i	0.0111412	−	0.00496038i
$337$	1.93077	−	4.33658i	0.105176	−	0.236229i	−0.853290	−	0.521437i	$-0.825396\pi$
$337$	1.93077	−	4.33658i	0.105176	−	0.236229i	0.958466	+	0.285208i	$0.0920628\pi$
$338$	7.92081	−	0.832510i	0.430835	−	0.0452826i
$339$	0.496410	−	4.72303i	0.0269613	−	0.256520i
$340$	0.0587601	+	0.0669949i	0.00318671	+	0.00363331i
$341$	0.881086	−	0.640147i	0.0477135	−	0.0346659i
$342$	−11.1219	−	3.67567i	−0.601405	−	0.198757i
$343$		−	5.53267i		−	0.298736i
$344$	−10.4052	+	2.21169i	−0.561009	+	0.119246i
$345$	4.12927	+	9.60954i	0.222313	+	0.517360i
$346$	−21.0770	−	4.48005i	−1.13311	−	0.240849i
$347$	−24.5463	−	22.1016i	−1.31772	−	1.18648i	−0.968380	−	0.249479i	$-0.919741\pi$
$347$	−24.5463	−	22.1016i	−1.31772	−	1.18648i	−0.349336	−	0.936998i	$-0.613593\pi$
$348$	−0.479221	−	1.07635i	−0.0256889	−	0.0576983i
$349$	12.2238			0.654323			0.327161	−	0.944968i	$-0.393908\pi$
$349$	12.2238			0.654323			0.327161	+	0.944968i	$0.393908\pi$
$350$	1.94360	+	0.466369i	0.103890	+	0.0249285i
$351$	3.56843	−	6.18070i	0.190469	−	0.329901i
$352$	0.430541	+	0.967010i	0.0229479	+	0.0515418i
$353$	17.1333	−	5.56696i	0.911916	−	0.296299i	0.184770	−	0.982782i	$-0.440846\pi$
$353$	17.1333	−	5.56696i	0.911916	−	0.296299i	0.727146	+	0.686482i	$0.240846\pi$
$354$	0.260017	+	0.800251i	0.0138198	+	0.0425328i
$355$	−0.367324	+	28.1896i	−0.0194955	+	1.49615i
$356$	5.12436	−	1.08922i	0.271591	−	0.0577284i
$357$	−0.00771537	−	0.00445447i	−0.000408340	−	0.000235755i
$358$	−3.85981	−	18.1590i	−0.203997	−	0.959731i
$359$	5.31214	+	2.36512i	0.280364	+	0.124826i	0.542101	−	0.840313i	$-0.317629\pi$
$359$	5.31214	+	2.36512i	0.280364	+	0.124826i	−0.261738	+	0.965139i	$0.584296\pi$
$360$	−2.93641	−	5.24260i	−0.154762	−	0.276309i
$361$	−15.2582	−	11.3219i	−0.803065	−	0.595891i
$362$	−2.46656	−	3.39493i	−0.129640	−	0.178434i
$363$	2.24713	−	5.04714i	0.117944	−	0.264906i
$364$	0.0937673	−	0.892136i	0.00491474	−	0.0467606i
$365$	15.1691	−	10.7218i	0.793988	−	0.561207i
$366$	−7.65497	−	3.40821i	−0.400132	−	0.178150i
$367$	−9.27689	+	8.35295i	−0.484250	+	0.436020i	−0.874744	−	0.484585i	$-0.838971\pi$
$367$	−9.27689	+	8.35295i	−0.484250	+	0.436020i	0.390495	+	0.920605i	$0.372304\pi$
$368$		−	8.36438i		−	0.436023i
$369$	−0.460565	+	1.41747i	−0.0239761	+	0.0737908i
$370$	−12.1265	−	4.11559i	−0.630428	−	0.213959i
$371$	−3.42444	−	0.727887i	−0.177788	−	0.0377900i
$372$	−0.547199	+	0.177796i	−0.0283709	+	0.00921827i
$373$	12.7718	−	17.5789i	0.661298	−	0.910199i	−0.338225	−	0.941065i	$-0.609827\pi$
$373$	12.7718	−	17.5789i	0.661298	−	0.910199i	0.999524	+	0.0308660i	$0.00982652\pi$
$374$	0.0210924	−	0.0365330i	0.00109066	−	0.00188908i
$375$	−0.896028	+	6.18767i	−0.0462707	+	0.319530i
$376$	−1.56927	+	2.71805i	−0.0809288	+	0.140173i
$377$	−4.70200	−	0.494200i	−0.242165	−	0.0254526i
$378$	0.944821	+	0.850720i	0.0485963	+	0.0437563i
$379$	6.55073	+	20.1611i	0.336489	+	1.03561i	0.965984	+	0.258601i	$0.0832616\pi$
$379$	6.55073	+	20.1611i	0.336489	+	1.03561i	−0.629496	+	0.777004i	$0.716738\pi$
$380$	−1.85399	−	9.56884i	−0.0951076	−	0.490871i
$381$	−0.417853	+	1.28602i	−0.0214072	+	0.0658847i
$382$	13.9001	−	8.02523i	0.711192	−	0.410607i
$383$	−0.260643	−	1.22623i	−0.0133183	−	0.0626574i	0.970987	−	0.239134i	$-0.0768634\pi$
$383$	−0.260643	−	1.22623i	−0.0133183	−	0.0626574i	−0.984305	+	0.176476i	$0.943530\pi$
$384$	−0.0584539	−	0.556151i	−0.00298296	−	0.0283810i
$385$	−0.0866347	−	0.942216i	−0.00441531	−	0.0480198i
$386$	−9.70394	+	4.32047i	−0.493918	+	0.219906i
$387$	−16.8026	−	23.1268i	−0.854123	−	1.17560i
$388$	−6.82957	−	9.40010i	−0.346719	−	0.477218i
$389$	17.4901	−	7.78707i	0.886781	−	0.394820i	0.0877727	−	0.996141i	$-0.472025\pi$
$389$	17.4901	−	7.78707i	0.886781	−	0.394820i	0.799008	+	0.601320i	$0.205358\pi$
$390$	2.80576	+	0.0365604i	0.142075	+	0.00185131i
$391$	−0.269678	+	0.195933i	−0.0136382	+	0.00990874i
$392$	−6.50541	−	2.11374i	−0.328573	−	0.106760i
$393$	2.99169	+	1.72725i	0.150911	+	0.0871283i
$394$	3.96765	−	0.843351i	0.199887	−	0.0424874i
$395$	0.0815029	−	6.25479i	0.00410085	−	0.314713i
$396$	−1.90338	+	2.11391i	−0.0956482	+	0.106228i
$397$	14.7714	+	13.3003i	0.741358	+	0.667521i	0.950627	−	0.310337i	$-0.100442\pi$
$397$	14.7714	+	13.3003i	0.741358	+	0.667521i	−0.209269	+	0.977858i	$0.567108\pi$
$398$	−2.58947	+	3.56410i	−0.129798	+	0.178652i
$399$	0.482963	+	0.846316i	0.0241784	+	0.0423688i
$400$	2.61198	−	4.26352i	0.130599	−	0.213176i
$401$	−14.8406	−	25.7046i	−0.741102	−	1.28363i	−0.951994	−	0.306117i	$-0.900970\pi$
$401$	−14.8406	−	25.7046i	−0.741102	−	1.28363i	0.210892	−	0.977509i	$-0.432363\pi$
$402$	6.49176	+	0.682311i	0.323779	+	0.0340306i
$403$	−0.480024	+	2.25833i	−0.0239117	+	0.112496i
$404$	−8.80680	+	9.78095i	−0.438155	+	0.486620i
$405$	8.40572	−	11.2580i	0.417684	−	0.559416i
$406$	0.260267	−	0.801019i	0.0129168	−	0.0397539i
$407$			6.06213i			0.300489i
$408$	−0.0165618	+	0.0149123i	−0.000819930	+	0.000738268i
$409$	−1.93776	−	18.4365i	−0.0958159	−	0.911628i	−0.931824	−	0.362910i	$-0.881783\pi$
$409$	−1.93776	−	18.4365i	−0.0958159	−	0.911628i	0.836008	−	0.548717i	$-0.184884\pi$
$410$	−1.21633	+	0.242018i	−0.0600700	+	0.0119524i
$411$	−7.55872	−	5.49173i	−0.372844	−	0.270887i
$412$	19.1962	−	2.01760i	0.945729	−	0.0994001i
$413$	−0.244651	+	0.549495i	−0.0120385	+	0.0270389i
$414$	20.5341	−	9.14239i	1.00920	−	0.449324i
$415$	8.43586	−	3.62494i	0.414100	−	0.177941i
$416$	−2.05000	−	0.912719i	−0.100510	−	0.0447497i
$417$	−5.47818	−	1.77997i	−0.268268	−	0.0871655i
$418$	−4.00739	+	2.28688i	−0.196008	+	0.111855i
$419$	−1.23249	+	3.79321i	−0.0602110	+	0.185311i	−0.976638	−	0.214892i	$-0.931060\pi$
$419$	−1.23249	+	3.79321i	−0.0602110	+	0.185311i	0.916427	+	0.400202i	$0.131060\pi$
$420$	−0.110290	+	0.487550i	−0.00538162	+	0.0237900i
$421$	24.7182	−	27.4524i	1.20469	−	1.33795i	0.278713	−	0.960374i	$-0.410092\pi$
$421$	24.7182	−	27.4524i	1.20469	−	1.33795i	0.925980	−	0.377573i	$-0.123241\pi$
$422$	3.45965	−	16.2764i	0.168413	−	0.792323i
$423$	−8.38791	−	0.881605i	−0.407834	−	0.0428651i
$424$	−4.37887	+	7.58443i	−0.212657	+	0.368333i
$425$	−0.198646	+	0.0156578i	−0.00963574	+	0.000759517i
$426$	−7.05050			−0.341598
$427$	−2.43636	−	5.47215i	−0.117904	−	0.264816i
$428$	1.98045	−	9.31730i	0.0957289	−	0.450369i
$429$	−0.410474	−	1.26331i	−0.0198179	−	0.0609932i
$430$	9.95713	−	21.6021i	0.480175	−	1.04175i
$431$	10.9350	+	12.1445i	0.526720	+	0.584982i	0.946524	−	0.322633i	$-0.104568\pi$
$431$	10.9350	+	12.1445i	0.526720	+	0.584982i	−0.419804	+	0.907615i	$0.637901\pi$
$432$	2.75432	−	1.59021i	0.132517	−	0.0765088i
$433$	−11.5013	+	10.3559i	−0.552720	+	0.497671i	−0.897501	−	0.441012i	$-0.854620\pi$
$433$	−11.5013	+	10.3559i	−0.552720	+	0.497671i	0.344782	+	0.938683i	$0.387953\pi$
$434$	−0.375736	−	0.167288i	−0.0180359	−	0.00803010i
$435$	2.56963	+	0.581285i	0.123204	+	0.0278705i
$436$	14.6235	+	10.6246i	0.700340	+	0.508827i
$437$	36.2784	−	3.62868i	1.73543	−	0.173583i
$438$	2.73061	+	3.75836i	0.130474	+	0.179581i
$439$	1.46694	−	13.9570i	0.0700133	−	0.666132i	−0.902085	−	0.431558i	$-0.857964\pi$
$439$	1.46694	−	13.9570i	0.0700133	−	0.666132i	0.972098	−	0.234573i	$-0.0753693\pi$
$440$	−2.30860	−	0.522237i	−0.110058	−	0.0248967i
$441$	−1.92139	−	18.2808i	−0.0914948	−	0.870515i
$442$	0.0185933	+	0.0874748i	0.000884395	+	0.00416075i
$443$	11.9620	+	6.90629i	0.568334	+	0.328128i	0.756483	−	0.654013i	$-0.226916\pi$
$443$	11.9620	+	6.90629i	0.568334	+	0.328128i	−0.188150	+	0.982140i	$0.560249\pi$
$444$	0.989659	−	3.04586i	0.0469671	−	0.144550i
$445$	−4.90371	+	10.6387i	−0.232458	+	0.504321i
$446$	−20.2776	−	4.31014i	−0.960173	−	0.204091i
$447$	1.32552	−	6.23608i	0.0626949	−	0.294956i
$448$	0.234969	−	0.323408i	0.0111013	−	0.0152796i
$449$	−10.2965			−0.485922			−0.242961	−	0.970036i	$-0.578119\pi$
$449$	−10.2965			−0.485922			−0.242961	+	0.970036i	$0.578119\pi$
$450$	13.3217	+	1.75220i	0.627989	+	0.0825993i
$451$	0.293540	+	0.508426i	0.0138222	+	0.0239408i
$452$	−3.45414	−	7.75814i	−0.162469	−	0.364912i
$453$	−8.58717	−	7.73193i	−0.403461	−	0.363278i
$454$	3.18552	−	3.53788i	0.149504	−	0.166041i
$455$	1.47303	+	1.36149i	0.0690569	+	0.0638278i
$456$	2.38681	−	0.494802i	0.111773	−	0.0231712i
$457$			27.5591i			1.28916i	0.764537	+	0.644579i	$0.222967\pi$
$457$			27.5591i			1.28916i	−0.764537	+	0.644579i	$0.777033\pi$
$458$	2.93143	+	13.7913i	0.136977	+	0.644425i
$459$	−0.115789	−	0.0515526i	−0.00540457	−	0.00240627i
$460$	14.9868	+	11.1897i	0.698762	+	0.521725i
$461$	3.22573	−	30.6908i	0.150237	−	1.42941i	−0.616451	−	0.787393i	$-0.711430\pi$
$461$	3.22573	−	30.6908i	0.150237	−	1.42941i	0.766689	−	0.642019i	$-0.221903\pi$
$462$	0.235335	−	0.0247347i	0.0109488	−	0.00115076i
$463$	−13.2279	−	18.2067i	−0.614754	−	0.846137i	0.382203	−	0.924078i	$-0.375165\pi$
$463$	−13.2279	−	18.2067i	−0.614754	−	0.846137i	−0.996958	+	0.0779412i	$0.975165\pi$
$464$	−1.70452	−	1.23840i	−0.0791303	−	0.0574915i
$465$	0.413472	−	1.21829i	0.0191743	−	0.0564968i
$466$	−0.123745	−	1.17736i	−0.00573239	−	0.0545401i
$467$	−11.3322	−	3.68204i	−0.524390	−	0.170385i	0.0348468	−	0.999393i	$-0.488906\pi$
$467$	−11.3322	−	3.68204i	−0.524390	−	0.170385i	−0.559237	+	0.829008i	$0.688906\pi$
$468$		−	6.03027i		−	0.278749i
$469$	3.12229	+	3.46765i	0.144174	+	0.160121i
$470$	−2.77069	−	6.44789i	−0.127802	−	0.297419i
$471$	−2.45954	−	0.522791i	−0.113330	−	0.0240890i
$472$	1.11819	+	1.00682i	0.0514687	+	0.0463427i
$473$	−11.1985	−	1.17701i	−0.514907	−	0.0541189i
$474$	1.56438			0.0718545
$475$	19.6251	+	9.47920i	0.900462	+	0.434936i
$476$	−0.0159312			−0.000730203
$477$	−23.4056	−	2.46003i	−1.07167	−	0.112637i
$478$	2.27988	+	2.05282i	0.104279	+	0.0938936i
$479$	−4.63671	−	0.985563i	−0.211857	−	0.0450315i	0.100761	−	0.994911i	$-0.467872\pi$
$479$	−4.63671	−	0.985563i	−0.211857	−	0.0450315i	−0.312617	+	0.949879i	$0.601206\pi$
$480$	1.07468	+	0.639278i	0.0490521	+	0.0291789i
$481$	−8.59923	−	9.55041i	−0.392091	−	0.435461i
$482$		−	0.288803i		−	0.0131546i
$483$	−1.77833	−	0.577813i	−0.0809166	−	0.0262914i
$484$	−1.03269	−	9.82541i	−0.0469405	−	0.446609i
$485$	25.9790	+	0.338519i	1.17965	+	0.0153714i
$486$	10.5617	+	7.67351i	0.479087	+	0.348077i
$487$	8.93241	+	12.2944i	0.404766	+	0.557113i	0.961932	−	0.273288i	$-0.0881114\pi$
$487$	8.93241	+	12.2944i	0.404766	+	0.557113i	−0.557166	+	0.830401i	$0.688111\pi$
$488$	−14.9022	+	1.56628i	−0.674589	+	0.0709022i
$489$	0.846797	−	8.05673i	0.0382935	−	0.364338i
$490$	12.4901	−	8.82827i	0.564246	−	0.398821i
$491$	0.0418237	+	0.0186211i	0.00188748	+	0.000840359i	0.407680	−	0.913125i	$-0.366338\pi$
$491$	0.0418237	+	0.0186211i	0.00188748	+	0.000840359i	−0.405793	+	0.913965i	$0.633005\pi$
$492$	−0.0644843	−	0.303375i	−0.00290717	−	0.0136772i
$493$			0.0839650i			0.00378159i
$494$	3.06936	−	9.28734i	0.138097	−	0.417857i
$495$	−1.24127	−	6.23831i	−0.0557909	−	0.280391i
$496$	−0.688448	+	0.764598i	−0.0309122	+	0.0343315i
$497$	−3.74548	−	3.37245i	−0.168008	−	0.151275i
$498$	0.933966	+	2.09772i	0.0418520	+	0.0940011i
$499$	−6.23395	−	10.7975i	−0.279070	−	0.483363i	0.692084	−	0.721817i	$-0.256693\pi$
$499$	−6.23395	−	10.7975i	−0.279070	−	0.483363i	−0.971154	+	0.238454i	$0.923359\pi$
$500$	4.14483	+	10.3837i	0.185363	+	0.464371i
$501$	−13.4623			−0.601452
$502$	13.0622	−	17.9785i	0.582994	−	0.802422i
$503$	5.90118	−	27.7629i	0.263121	−	1.23789i	−0.625858	−	0.779937i	$-0.715251\pi$
$503$	5.90118	−	27.7629i	0.263121	−	1.23789i	0.888979	−	0.457949i	$-0.151416\pi$
$504$	1.05078	+	0.223349i	0.0468053	+	0.00994876i
$505$	−5.74327	−	28.8643i	−0.255572	−	1.28444i
$506$	2.73600	−	8.42055i	0.121630	−	0.374339i
$507$	−3.85713	−	2.22692i	−0.171301	−	0.0989008i
$508$	0.502737	+	2.36519i	0.0223054	+	0.104938i
$509$	−0.877431	−	8.34820i	−0.0388914	−	0.370027i	−0.996607	−	0.0823099i	$-0.973770\pi$
$509$	−0.877431	−	8.34820i	−0.0388914	−	0.370027i	0.957715	−	0.287717i	$-0.0928964\pi$
$510$	−0.00456280	−	0.0496238i	−0.000202044	−	0.00219738i
$511$	−0.347128	+	3.30270i	−0.0153560	+	0.146103i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	8.09202	+	11.2563i	0.357271	+	0.496978i
$514$	−9.77831	−	7.10436i	−0.431303	−	0.313360i
$515$	−22.0654	+	37.0937i	−0.972318	+	1.63454i
$516$	5.43442	+	2.41956i	0.239237	+	0.106515i
$517$	−2.46889	+	2.22300i	−0.108582	+	0.0977672i
$518$	1.98266	−	1.14469i	0.0871130	−	0.0502947i
$519$	8.06294	+	8.95481i	0.353924	+	0.393072i
$520$	4.37782	−	2.45204i	0.191980	−	0.107529i
$521$	4.20406	+	12.9388i	0.184183	+	0.566858i	0.999933	−	0.0115465i	$-0.00367544\pi$
$521$	4.20406	+	12.9388i	0.184183	+	0.566858i	−0.815750	+	0.578405i	$0.803675\pi$
$522$	1.17716	−	5.53810i	0.0515229	−	0.242396i
$523$	2.10546	+	4.72894i	0.0920653	+	0.206782i	0.953709	−	0.300732i	$-0.0972311\pi$
$523$	2.10546	+	4.72894i	0.0920653	+	0.206782i	−0.861643	+	0.507514i	$0.830564\pi$
$524$	6.17741			0.269862
$525$	−0.726017	−	0.849850i	−0.0316860	−	0.0370905i
$526$	4.81051	−	8.33205i	0.209748	−	0.363295i
$527$	0.0407783	+	0.00428597i	0.00177633	+	0.000186700i
$528$	0.123072	−	0.579007i	0.00535601	−	0.0251980i
$529$	−31.4242	+	34.9001i	−1.36627	+	1.51740i
$530$	−7.73132	−	17.9921i	−0.335827	−	0.781529i
$531$	−1.24950	+	3.84556i	−0.0542237	+	0.166883i
$532$	1.50464	+	0.878820i	0.0652343	+	0.0381017i
$533$	−1.18366	−	0.384594i	−0.0512699	−	0.0166586i
$534$	−2.67636	−	1.19159i	−0.115817	−	0.0515652i
$535$	14.0447	+	16.0130i	0.607207	+	0.692303i
$536$	10.6635	−	4.74769i	0.460593	−	0.205069i
$537$	−4.22259	+	9.48409i	−0.182218	+	0.409268i
$538$	16.4674	−	1.73080i	0.709962	−	0.0746200i
$539$	−5.85770	−	4.25587i	−0.252309	−	0.183313i
$540$	−0.835455	+	7.06237i	−0.0359523	+	0.303916i
$541$	−1.23131	−	11.7152i	−0.0529383	−	0.503674i	−0.988577	−	0.150716i	$-0.951842\pi$
$541$	−1.23131	−	11.7152i	−0.0529383	−	0.503674i	0.935639	−	0.352959i	$-0.114824\pi$
$542$	12.4008	−	11.1658i	0.532661	−	0.479610i
$543$			2.34667i			0.100705i
$544$	−0.0123151	+	0.0379019i	−0.000528004	+	0.00162503i
$545$	−38.5997	+	11.9881i	−1.65343	+	0.513512i
$546$	−0.335665	+	0.372794i	−0.0143651	+	0.0159541i
$547$	3.57185	−	16.8043i	0.152721	−	0.718498i	−0.833427	−	0.552630i	$-0.813624\pi$
$547$	3.57185	−	16.8043i	0.152721	−	0.718498i	0.986148	−	0.165868i	$-0.0530425\pi$
$548$	−16.6160	−	1.74641i	−0.709800	−	0.0746030i
$549$	−20.1334	−	34.8721i	−0.859274	−	1.48831i
$550$	4.02413	−	3.43777i	0.171589	−	0.146587i
$551$	4.63182	−	7.93018i	0.197322	−	0.337837i
$552$	−2.74936	+	3.78416i	−0.117020	+	0.161065i
$553$	0.831057	+	0.748287i	0.0353401	+	0.0318204i
$554$	−20.1225	+	22.3483i	−0.854922	+	0.949487i
$555$	4.13343	+	5.84792i	0.175454	+	0.248230i
$556$	−10.0752	+	2.14156i	−0.427286	+	0.0908224i
$557$	25.5029	+	14.7241i	1.08059	+	0.623879i	0.931056	−	0.364877i	$-0.118889\pi$
$557$	25.5029	+	14.7241i	1.08059	+	0.623879i	0.149535	+	0.988756i	$0.452222\pi$
$558$	−2.62954	−	0.854388i	−0.111317	−	0.0361691i
$559$	19.3120	−	14.0310i	0.816809	−	0.593446i
$560$	0.265123	+	0.853654i	0.0112035	+	0.0360735i
$561$	−0.0215508	+	0.00959505i	−0.000909877	+	0.000405103i
$562$	−8.80297	−	12.1163i	−0.371331	−	0.511093i
$563$	11.1025	+	15.2813i	0.467914	+	0.644029i	0.976126	−	0.217203i	$-0.0696934\pi$
$563$	11.1025	+	15.2813i	0.467914	+	0.644029i	−0.508212	+	0.861232i	$0.669693\pi$
$564$	1.60338	−	0.713870i	0.0675144	−	0.0300593i
$565$	18.5215	+	4.18981i	0.779204	+	0.176266i
$566$	−0.753750	−	7.17145i	−0.0316825	−	0.301439i
$567$	0.522227	+	2.45689i	0.0219315	+	0.103180i
$568$	−10.9187	+	6.30393i	−0.458140	+	0.264507i
$569$	4.53949	−	13.9711i	0.190305	−	0.585699i	−0.809694	−	0.586852i	$-0.800367\pi$
$569$	4.53949	−	13.9711i	0.190305	−	0.585699i	0.999999	+	0.00115289i	$0.000366976\pi$
$570$	−2.30649	+	4.93848i	−0.0966082	+	0.206850i
$571$	−1.99444	−	6.13824i	−0.0834645	−	0.256877i	0.900612	−	0.434625i	$-0.143119\pi$
$571$	−1.99444	−	6.13824i	−0.0834645	−	0.256877i	−0.984076	+	0.177747i	$0.943119\pi$
$572$	−1.76522	−	1.58941i	−0.0738074	−	0.0664565i
$573$	−8.92649	−	0.938212i	−0.372909	−	0.0391944i
$574$	0.110856	−	0.192008i	0.00462704	−	0.00801426i
$575$	−40.0982	+	11.8829i	−1.67221	+	0.495551i
$576$	1.34364	−	2.32725i	0.0559850	−	0.0969688i
$577$	−9.74952	+	13.4191i	−0.405878	+	0.558643i	−0.962207	−	0.272319i	$-0.912209\pi$
$577$	−9.74952	+	13.4191i	−0.405878	+	0.558643i	0.556329	+	0.830962i	$0.312209\pi$
$578$	−16.1665	+	5.25280i	−0.672436	+	0.218488i
$579$	5.81033	+	1.23502i	0.241469	+	0.0513259i
$580$	4.49918	−	1.39733i	0.186818	−	0.0580209i
$581$	−0.507241	+	1.56113i	−0.0210439	+	0.0647664i
$582$			6.49761i			0.269334i
$583$	−6.88917	+	6.20303i	−0.285320	+	0.256903i
$584$	7.58914	+	3.37890i	0.314041	+	0.139820i
$585$	10.8047	+	8.06721i	0.446718	+	0.333538i
$586$	0.127642	−	1.21444i	0.00527286	−	0.0501679i
$587$	2.42097	−	5.43759i	0.0999241	−	0.224433i	−0.856665	−	0.515873i	$-0.827468\pi$
$587$	2.42097	−	5.43759i	0.0999241	−	0.224433i	0.956589	+	0.291440i	$0.0941343\pi$
$588$	2.24836	+	3.09460i	0.0927208	+	0.127619i
$589$	−3.61493	−	2.65427i	−0.148950	−	0.109367i
$590$	−3.29985	+	0.656588i	−0.135853	+	0.0270313i
$591$	−2.07223	−	0.922617i	−0.0852402	−	0.0379514i
$592$	−1.19070	−	5.60182i	−0.0489376	−	0.230233i
$593$	23.2917	+	13.4475i	0.956475	+	0.552221i	0.895086	−	0.445893i	$-0.147114\pi$
$593$	23.2917	+	13.4475i	0.956475	+	0.552221i	0.0613888	+	0.998114i	$0.480447\pi$
$594$	3.29297	−	0.699943i	0.135112	−	0.0287190i
$595$	0.0213125	−	0.0285445i	0.000873727	−	0.00117021i
$596$	−3.52299	−	10.8426i	−0.144307	−	0.444132i
$597$	2.34303	−	0.761295i	0.0958937	−	0.0311577i
$598$	7.63433	+	17.1470i	0.312191	+	0.701192i
$599$	−2.73708	+	4.74077i	−0.111834	+	0.193702i	−0.916510	−	0.400012i	$-0.869006\pi$
$599$	−2.73708	+	4.74077i	−0.111834	+	0.193702i	0.804676	+	0.593715i	$0.202339\pi$
$600$	−2.58311	+	1.07032i	−0.105455	+	0.0436957i
$601$	25.6737			1.04725			0.523626	−	0.851948i	$-0.324579\pi$
$601$	25.6737			1.04725			0.523626	+	0.851948i	$0.324579\pi$
$602$	1.72962	+	3.88479i	0.0704940	+	0.158332i
$603$	23.3107	+	20.9891i	0.949285	+	0.854740i
$604$	−20.2117	−	4.29613i	−0.822402	−	0.174807i
$605$	18.9861	+	11.2940i	0.771894	+	0.459166i
$606$	7.19930	−	1.53026i	0.292452	−	0.0621625i
$607$		−	8.91059i		−	0.361670i	−0.983513	−	0.180835i	$-0.942120\pi$
$607$		−	8.91059i		−	0.361670i	0.983513	−	0.180835i	$-0.0578799\pi$
$608$	3.25392	−	2.90035i	0.131964	−	0.117625i
$609$	−0.381042	+	0.276843i	−0.0154406	+	0.0112183i
$610$	17.1295	−	28.7961i	0.693555	−	1.16592i
$611$	0.736182	−	7.00431i	0.0297828	−	0.283364i
$612$	−0.106508	+	0.0111944i	−0.00430532	+	0.000452508i
$613$	0.117017	−	0.262824i	0.00472626	−	0.0106154i	−0.911167	−	0.412037i	$-0.864817\pi$
$613$	0.117017	−	0.262824i	0.00472626	−	0.0106154i	0.915893	+	0.401422i	$0.131484\pi$
$614$	14.7323	−	6.55924i	0.594547	−	0.264709i
$615$	0.629834	+	0.290312i	0.0253974	+	0.0117065i
$616$	0.342335	−	0.248721i	0.0137931	−	0.0100212i
$617$	4.57482	−	4.11918i	0.184175	−	0.165832i	−0.571886	−	0.820333i	$-0.693788\pi$
$617$	4.57482	−	4.11918i	0.184175	−	0.165832i	0.756061	+	0.654501i	$0.227121\pi$
$618$	−9.34782	−	5.39697i	−0.376024	−	0.217098i
$619$	−0.760571	+	2.34080i	−0.0305699	+	0.0940846i	−0.965177	−	0.261596i	$-0.915751\pi$
$619$	−0.760571	+	2.34080i	−0.0305699	+	0.0940846i	0.934607	+	0.355681i	$0.115751\pi$
$620$	−0.448965	−	2.25639i	−0.0180309	−	0.0906187i
$621$	−26.0208	−	5.53090i	−1.04418	−	0.221947i
$622$	−12.2507	−	11.0306i	−0.491208	−	0.442286i
$623$	−0.851807	−	1.91319i	−0.0341269	−	0.0766504i
$624$	0.627441	+	1.08676i	0.0251177	+	0.0435052i
$625$	−24.1497	−	6.46466i	−0.965988	−	0.258586i
$626$	12.3510			0.493644
$627$	2.56469	+	0.282606i	0.102424	+	0.0112862i
$628$	−4.27639	+	1.38948i	−0.170647	+	0.0554464i
$629$	−0.152718	+	0.169610i	−0.00608926	+	0.00676281i
$630$	−1.80590	+	1.58392i	−0.0719486	+	0.0631049i
$631$	2.42911	+	2.69779i	0.0967011	+	0.107398i	0.789553	−	0.613683i	$-0.210313\pi$
$631$	2.42911	+	2.69779i	0.0967011	+	0.107398i	−0.692852	+	0.721080i	$0.743646\pi$
$632$	2.42268	−	1.39873i	0.0963689	−	0.0556386i
$633$	−6.91522	+	6.22649i	−0.274855	+	0.247481i
$634$	−19.4934	+	14.1628i	−0.774183	+	0.562477i
$635$	−4.91036	−	2.26335i	−0.194862	−	0.0898182i
$636$	4.47405	−	1.99198i	0.177408	−	0.0789870i
$637$	15.2654	−	1.60445i	0.604835	−	0.0635708i
$638$	−1.31088	−	1.80427i	−0.0518983	−	0.0714319i
$639$	−27.4102	−	19.9147i	−1.08433	−	0.787812i
$640$	2.23588	+	0.0291345i	0.0883808	+	0.00115164i
$641$	35.4862	+	15.7995i	1.40162	+	0.624042i	0.961728	−	0.274007i	$-0.0883492\pi$
$641$	35.4862	+	15.7995i	1.40162	+	0.624042i	0.439894	+	0.898050i	$0.355016\pi$
$642$	−3.95857	+	3.56431i	−0.156232	+	0.140672i
$643$	−29.6885	+	17.1407i	−1.17080	+	0.675962i	−0.953868	−	0.300225i	$-0.902938\pi$
$643$	−29.6885	+	17.1407i	−1.17080	+	0.675962i	−0.216932	+	0.976187i	$0.569605\pi$
$644$	−3.27062	+	0.695193i	−0.128881	+	0.0273944i
$645$	−11.6053	+	6.50021i	−0.456959	+	0.255945i
$646$	−0.169733	−	0.0369708i	−0.00667805	−	0.00145460i
$647$	−28.0035	+	9.09888i	−1.10093	+	0.357714i	−0.802461	−	0.596705i	$-0.796476\pi$
$647$	−28.0035	+	9.09888i	−1.10093	+	0.357714i	−0.298470	+	0.954419i	$0.596476\pi$
$648$	6.24888	+	0.656784i	0.245479	+	0.0258009i
$649$	0.796364	+	1.37934i	0.0312600	+	0.0541440i
$650$	−1.46317	+	11.1242i	−0.0573901	+	0.436328i
$651$	0.115001	+	0.199187i	0.00450724	+	0.00780677i
$652$	−5.89222	−	13.2342i	−0.230757	−	0.518289i
$653$	−5.53840	+	1.79954i	−0.216734	+	0.0704212i	−0.415372	−	0.909652i	$-0.636348\pi$
$653$	−5.53840	+	1.79954i	−0.216734	+	0.0704212i	0.198637	+	0.980073i	$0.436348\pi$
$654$	−3.12360	−	9.61345i	−0.122142	−	0.375916i
$655$	−8.26406	+	11.0683i	−0.322904	+	0.432475i
$656$	−0.371114	−	0.412164i	−0.0144896	−	0.0160923i
$657$			22.3242i			0.870948i
$658$	1.19324	+	0.387706i	0.0465171	+	0.0151143i
$659$	1.88326	+	17.9180i	0.0733614	+	0.697987i	0.967958	+	0.251113i	$0.0807964\pi$
$659$	1.88326	+	17.9180i	0.0733614	+	0.697987i	−0.894596	+	0.446875i	$0.852537\pi$
$660$	0.872785	+	0.995100i	0.0339731	+	0.0387342i
$661$	−31.5133	+	14.0306i	−1.22572	+	0.545728i	−0.914491	−	0.404606i	$-0.867409\pi$
$661$	−31.5133	+	14.0306i	−1.22572	+	0.545728i	−0.311233	+	0.950334i	$0.600742\pi$
$662$	3.33859	−	7.49860i	0.129758	−	0.291441i
$663$	0.0203409	−	0.0456864i	0.000789976	−	0.00177431i
$664$	3.32198	+	2.41356i	0.128918	+	0.0936642i
$665$	−3.58750	+	1.52024i	−0.139117	+	0.0589525i
$666$	12.4507	−	9.04599i	0.482456	−	0.350525i
$667$	3.66401	+	17.2378i	0.141871	+	0.667450i
$668$	−20.8483	+	12.0368i	−0.806646	+	0.465718i
$669$	7.75715	+	8.61519i	0.299909	+	0.333082i
$670$	−5.75885	+	25.4576i	−0.222484	+	0.983512i
$671$	−15.5146	−	3.29773i	−0.598934	−	0.127307i
$672$	−0.212607	+	0.0690802i	−0.00820150	+	0.00266483i
$673$	−8.09178	+	11.1374i	−0.311915	+	0.429315i	−0.935977	−	0.352060i	$-0.885481\pi$
$673$	−8.09178	+	11.1374i	−0.311915	+	0.429315i	0.624062	+	0.781375i	$0.285481\pi$
$674$	−2.37349	+	4.11101i	−0.0914234	+	0.158350i
$675$	−11.5363	−	10.9449i	−0.444031	−	0.421268i
$676$	−7.96444			−0.306325
$677$	30.4439	−	41.9024i	1.17005	−	1.61044i	0.506737	−	0.862101i	$-0.330852\pi$
$677$	30.4439	−	41.9024i	1.17005	−	1.61044i	0.663316	−	0.748339i	$-0.269148\pi$
$678$	−0.987381	+	4.64526i	−0.0379201	+	0.178400i
$679$	−3.10798	+	3.45176i	−0.119273	+	0.132467i
$680$	−0.0514353	−	0.0727700i	−0.00197246	−	0.00279060i
$681$	−2.60407	+	0.553512i	−0.0997882	+	0.0212106i
$682$	−0.943173	+	0.544541i	−0.0361160	+	0.0208516i
$683$	25.3327	+	8.23110i	0.969329	+	0.314954i	0.750545	−	0.660819i	$-0.229791\pi$
$683$	25.3327	+	8.23110i	0.969329	+	0.314954i	0.218784	+	0.975773i	$0.429791\pi$
$684$	10.6768	+	4.81809i	0.408237	+	0.184224i
$685$	25.3578	−	27.4352i	0.968871	−	1.04824i
$686$	−0.578322	+	5.50236i	−0.0220804	+	0.210081i
$687$	3.20696	−	7.20294i	0.122353	−	0.274809i
$688$	10.5793	−	1.11193i	0.403334	−	0.0423921i
$689$	2.05424	−	19.5448i	0.0782603	−	0.744597i
$690$	−3.10218	−	9.98853i	−0.118098	−	0.380257i
$691$	37.2032	−	27.0297i	1.41528	−	1.02826i	0.422749	−	0.906247i	$-0.361065\pi$
$691$	37.2032	−	27.0297i	1.41528	−	1.02826i	0.992529	−	0.122013i	$-0.0389348\pi$
$692$	20.4932	+	6.65865i	0.779036	+	0.253124i
$693$	0.984775	+	0.568560i	0.0374085	+	0.0215978i
$694$	22.1016	+	24.5463i	0.838966	+	0.931766i
$695$	9.64142	−	20.9172i	0.365720	−	0.793433i
$696$	0.364087	+	1.12054i	0.0138007	+	0.0424741i
$697$	−0.00459547	+	0.0216200i	−0.000174066	+	0.000818915i
$698$	−12.1568	−	1.27773i	−0.460141	−	0.0483628i
$699$	−0.331011	+	0.573328i	−0.0125200	+	0.0216853i
$700$	−1.88420	−	0.666976i	−0.0712162	−	0.0252093i
$701$	1.68864	+	2.92481i	0.0637790	+	0.110469i	0.896152	−	0.443748i	$-0.146351\pi$
$701$	1.68864	+	2.92481i	0.0637790	+	0.110469i	−0.832373	+	0.554216i	$0.813018\pi$
$702$	−4.19494	+	5.77384i	−0.158328	+	0.217920i
$703$	23.7800	−	7.59460i	0.896878	−	0.286436i
$704$	−0.327102	−	1.00672i	−0.0123281	−	0.0379420i
$705$	−0.865909	+	3.82784i	−0.0326120	+	0.144165i
$706$	−17.6214	+	3.74554i	−0.663190	+	0.140965i
$707$	4.55649	+	2.63069i	0.171365	+	0.0989374i
$708$	−0.174944	−	0.823046i	−0.00657479	−	0.0309320i
$709$	1.21848	+	11.5931i	0.0457611	+	0.435388i	0.993284	+	0.115700i	$0.0369113\pi$
$709$	1.21848	+	11.5931i	0.0457611	+	0.435388i	−0.947523	+	0.319687i	$0.896422\pi$
$710$	3.31193	−	27.9968i	0.124295	−	1.05070i
$711$	6.08184	+	4.41872i	0.228087	+	0.165715i
$712$	−5.21014	+	0.547608i	−0.195258	+	0.0205225i
$713$	8.55870	−	0.899556i	0.320526	−	0.0336886i
$714$	0.00720748	+	0.00523654i	0.000269733	+	0.000195973i
$715$	5.20929	−	1.03652i	0.194816	−	0.0387636i
$716$	1.94053	+	18.4629i	0.0725212	+	0.689993i
$717$	−0.356695	−	1.67812i	−0.0133210	−	0.0626704i
$718$	−5.03581	−	2.90743i	−0.187935	−	0.108504i
$719$	−51.0853	+	10.8585i	−1.90516	+	0.404954i	−0.999806	−	0.0197052i	$-0.993727\pi$
$719$	−51.0853	+	10.8585i	−1.90516	+	0.404954i	−0.905353	+	0.424659i	$0.860394\pi$
$720$	2.37232	+	5.52082i	0.0884113	+	0.205749i
$721$	−2.38438	−	7.33838i	−0.0887991	−	0.273295i
$722$	13.9912	+	12.8548i	0.520698	+	0.478407i
$723$	−0.0949290	+	0.130659i	−0.00353045	+	0.00485924i
$724$	2.09818	+	3.63416i	0.0779783	+	0.135062i
$725$	−3.51529	+	9.93068i	−0.130555	+	0.368816i
$726$	−2.76239	+	4.78460i	−0.102522	+	0.177573i
$727$	39.2896	+	4.12951i	1.45717	+	0.153155i	0.799734	−	0.600354i	$-0.204974\pi$
$727$	39.2896	+	4.12951i	1.45717	+	0.153155i	0.657437	+	0.753509i	$0.271640\pi$
$728$	−0.186507	+	0.877447i	−0.00691242	+	0.0325204i
$729$	3.56896	+	10.9841i	0.132184	+	0.406819i
$730$	−16.2068	+	9.07750i	−0.599839	+	0.335973i
$731$	−0.283668	−	0.315045i	−0.0104918	−	0.0116524i
$732$	7.25678	+	4.18971i	0.268218	+	0.154856i
$733$	−36.9181	−	11.9954i	−1.36360	−	0.443061i	−0.466358	−	0.884596i	$-0.654434\pi$
$733$	−36.9181	−	11.9954i	−1.36360	−	0.443061i	−0.897244	+	0.441535i	$0.854434\pi$
$734$	10.0992	−	7.33749i	0.372768	−	0.270832i
$735$	−8.55255	−	0.111444i	−0.315465	−	0.00411066i
$736$	−0.874315	+	8.31855i	−0.0322277	+	0.306626i
$737$	12.2881	−	1.29153i	0.452638	−	0.0475741i
$738$	0.606209	−	1.36157i	0.0223149	−	0.0501200i
$739$	−1.28372	+	12.2138i	−0.0472225	+	0.449292i	0.945207	+	0.326473i	$0.105860\pi$
$739$	−1.28372	+	12.2138i	−0.0472225	+	0.449292i	−0.992429	+	0.122819i	$0.960806\pi$
$740$	11.6299	+	5.36061i	0.427524	+	0.197060i
$741$	−4.44135	+	3.19283i	−0.163157	+	0.117292i
$742$	3.32960	+	1.08185i	0.122233	+	0.0397160i
$743$	28.1201	−	16.2351i	1.03163	−	0.595610i	0.114176	−	0.993461i	$-0.463577\pi$
$743$	28.1201	−	16.2351i	1.03163	−	0.595610i	0.917450	+	0.397851i	$0.130244\pi$
$744$	0.562786	−	0.119624i	0.0206327	−	0.00438562i
$745$	24.1402	+	8.19287i	0.884428	+	0.300163i
$746$	−14.5393	+	16.1476i	−0.532322	+	0.591204i
$747$	−2.29420	+	10.7933i	−0.0839403	+	0.394908i
$748$	−0.0247956	+	0.0341282i	−0.000906616	+	0.00124785i
$749$	−3.80784			−0.139135
$750$	1.53791	−	6.06011i	0.0561564	−	0.221284i
$751$	16.0878	−	27.8649i	0.587052	−	1.01680i	−0.407564	−	0.913177i	$-0.633622\pi$
$751$	16.0878	−	27.8649i	0.587052	−	1.01680i	0.994616	−	0.103627i	$-0.0330449\pi$
$752$	1.84478	−	2.53913i	0.0672724	−	0.0925925i
$753$	−11.8190	+	3.84024i	−0.430709	+	0.139946i
$754$	4.62458	+	0.982985i	0.168417	+	0.0357982i
$755$	34.7365	−	30.4668i	1.26419	−	1.10880i
$756$	−0.850720	−	0.944821i	−0.0309404	−	0.0343628i
$757$	−39.5160	+	22.8146i	−1.43623	+	0.829209i	−0.997585	−	0.0694501i	$-0.977876\pi$
$757$	−39.5160	+	22.8146i	−1.43623	+	0.829209i	−0.438647	+	0.898659i	$0.644542\pi$
$758$	−4.40744	−	20.7354i	−0.160085	−	0.753143i
$759$	−4.00563	+	2.91026i	−0.145395	+	0.105636i
$760$	0.843616	+	9.71022i	0.0306012	+	0.352227i
$761$	12.0501	+	8.75490i	0.436815	+	0.317365i	0.784368	−	0.620295i	$-0.212987\pi$
$761$	12.0501	+	8.75490i	0.436815	+	0.317365i	−0.347553	+	0.937660i	$0.612987\pi$
$762$	0.549989	−	1.23530i	0.0199240	−	0.0447500i
$763$	2.93901	−	6.60112i	0.106399	−	0.238976i
$764$	−14.6628	+	6.52831i	−0.530483	+	0.236186i
$765$	0.122427	−	0.205810i	0.00442637	−	0.00744107i
$766$	0.131040	+	1.24676i	0.00473465	+	0.0450472i
$767$	−3.21123	−	1.04339i	−0.115951	−	0.0376747i
$768$			0.559215i			0.0201789i
$769$	−30.2313	−	33.5753i	−1.09017	−	1.21076i	−0.976109	−	0.217281i	$-0.930281\pi$
$769$	−30.2313	−	33.5753i	−1.09017	−	1.21076i	−0.114060	−	0.993474i	$-0.536386\pi$
$770$	−0.0123283	+	0.946110i	−0.000444280	+	0.0340954i
$771$	2.08866	+	6.42823i	0.0752212	+	0.231507i
$772$	10.1024	−	3.28247i	0.363593	−	0.118139i
$773$	2.58522	+	5.80649i	0.0929838	+	0.208845i	0.954050	−	0.299648i	$-0.0968693\pi$
$773$	2.58522	+	5.80649i	0.0929838	+	0.208845i	−0.861066	+	0.508493i	$0.830203\pi$
$774$	14.2931	+	24.7564i	0.513756	+	0.889851i
$775$	4.64348	+	2.21414i	0.166799	+	0.0795342i
$776$	5.80958	+	10.0625i	0.208552	+	0.361222i
$777$	−1.27324	−	0.133823i	−0.0456772	−	0.00480087i
$778$	−18.2082	+	5.91621i	−0.652796	+	0.212106i
$779$	1.62666	−	1.78842i	0.0582812	−	0.0640769i
$780$	−2.78657	−	0.329642i	−0.0997752	−	0.0118031i
$781$	−13.0541	+	2.77473i	−0.467112	+	0.0992878i
$782$	0.288681	−	0.166670i	0.0103232	−	0.00596011i
$783$	−4.97967	+	4.48372i	−0.177959	+	0.160235i
$784$	6.24883	+	2.78216i	0.223173	+	0.0993628i
$785$	3.23131	−	9.52100i	0.115330	−	0.339819i
$786$	−2.79475	−	2.03050i	−0.0996854	−	0.0724257i
$787$	8.23525	+	11.3349i	0.293555	+	0.404044i	0.930165	−	0.367142i	$-0.119664\pi$
$787$	8.23525	+	11.3349i	0.293555	+	0.404044i	−0.636610	+	0.771186i	$0.719664\pi$
$788$	−4.03407	+	0.423998i	−0.143708	+	0.0151043i
$789$	−4.91507	+	2.18833i	−0.174981	+	0.0779067i
$790$	−0.734860	+	6.21201i	−0.0261452	+	0.221013i
$791$	−2.74649	+	1.99544i	−0.0976539	+	0.0709497i
$792$	2.11391	−	1.90338i	0.0751146	−	0.0676335i
$793$	29.1199	−	16.8124i	1.03408	−	0.597025i
$794$	−13.3003	−	14.7714i	−0.472009	−	0.524219i
$795$	−2.41623	+	10.6812i	−0.0856947	+	0.378822i
$796$	2.94783	−	3.27390i	0.104483	−	0.116040i
$797$	20.5949	−	6.69170i	0.729510	−	0.237032i	0.0793686	−	0.996845i	$-0.474710\pi$
$797$	20.5949	−	6.69170i	0.729510	−	0.237032i	0.650142	+	0.759813i	$0.274710\pi$
$798$	−0.391853	−	0.892163i	−0.0138714	−	0.0315822i
$799$	−0.125078			−0.00442495
$800$	−3.04333	+	3.96713i	−0.107598	+	0.140259i
$801$	−7.03911	−	12.1921i	−0.248715	−	0.430787i
$802$	12.0724	+	27.1151i	0.426291	+	0.957466i
$803$	6.53486	+	5.88402i	0.230610	+	0.207642i
$804$	−6.38487	−	1.35715i	−0.225177	−	0.0478629i
$805$	3.12979	−	6.79012i	0.110311	−	0.239320i
$806$	0.713455	−	2.19579i	0.0251304	−	0.0773433i
$807$	−8.01902	−	4.62978i	−0.282283	−	0.162976i
$808$	9.78095	−	8.80680i	0.344092	−	0.309822i
$809$	0.0727264	−	0.0528388i	0.00255692	−	0.00185771i	−0.586506	−	0.809945i	$-0.699497\pi$
$809$	0.0727264	−	0.0528388i	0.00255692	−	0.00185771i	0.589063	+	0.808087i	$0.299497\pi$
$810$	−9.53646	+	10.3177i	−0.335077	+	0.362528i
$811$	19.0741	−	8.49236i	0.669784	−	0.298207i	−0.0435296	−	0.999052i	$-0.513860\pi$
$811$	19.0741	−	8.49236i	0.669784	−	0.298207i	0.713313	+	0.700845i	$0.247194\pi$
$812$	−0.342571	+	0.769426i	−0.0120219	+	0.0270016i
$813$	−9.28047	+	0.975417i	−0.325480	+	0.0342094i
$814$	0.633665	−	6.02892i	0.0222100	−	0.211314i
$815$	31.5947	+	7.14715i	1.10671	+	0.250354i
$816$	0.0180298	−	0.0130994i	0.000631169	−	0.000458571i
$817$	9.41233	+	45.4030i	0.329296	+	1.58845i
$818$			18.5381i			0.648169i
$819$	−2.35795	+	0.501197i	−0.0823933	+	0.0175132i
$820$	1.23496	−	0.113552i	0.0431267	−	0.00396541i
$821$	−9.30598	−	1.97805i	−0.324781	−	0.0690344i	0.0426359	−	0.999091i	$-0.486424\pi$
$821$	−9.30598	−	1.97805i	−0.324781	−	0.0690344i	−0.367417	+	0.930056i	$0.619758\pi$
$822$	6.94327	+	6.25175i	0.242174	+	0.218055i
$823$	7.46493	+	16.7665i	0.260211	+	0.584443i	0.995653	−	0.0931447i	$-0.0296919\pi$
$823$	7.46493	+	16.7665i	0.260211	+	0.584443i	−0.735442	+	0.677588i	$0.763025\pi$
$824$	−19.3019			−0.672415
$825$	−2.95056	+	0.232572i	−0.102725	+	0.00809711i
$826$	0.300749	−	0.520912i	0.0104644	−	0.0181248i
$827$	16.7915	+	37.7143i	0.583897	+	1.31146i	0.928020	+	0.372530i	$0.121510\pi$
$827$	16.7915	+	37.7143i	0.583897	+	1.31146i	−0.344123	+	0.938925i	$0.611824\pi$
$828$	−21.3773	+	6.94590i	−0.742912	+	0.241387i
$829$	−4.80867	−	14.7996i	−0.167012	−	0.514011i	0.832167	−	0.554525i	$-0.187100\pi$
$829$	−4.80867	−	14.7996i	−0.167012	−	0.514011i	−0.999179	+	0.0405149i	$0.987100\pi$
$830$	−8.76856	+	2.72329i	−0.304361	+	0.0945268i
$831$	16.4495	−	3.49645i	0.570628	−	0.121291i
$832$	1.94337	+	1.12200i	0.0673741	+	0.0388985i
$833$	−0.0566764	−	0.266641i	−0.00196372	−	0.00923858i
$834$	5.26211	+	2.34284i	0.182212	+	0.0811261i
$835$	6.32384	−	53.4574i	0.218845	−	1.84997i
$836$	4.22448	−	1.85546i	0.146107	−	0.0641726i
$837$	1.92337	+	2.64729i	0.0664812	+	0.0915036i
$838$	1.62224	−	3.64360i	0.0560392	−	0.125866i
$839$	3.01671	−	28.7021i	0.104148	−	0.990906i	−0.810248	−	0.586087i	$-0.800668\pi$
$839$	3.01671	−	28.7021i	0.104148	−	0.990906i	0.914397	−	0.404819i	$-0.132666\pi$
$840$	0.160649	−	0.473351i	0.00554292	−	0.0163322i
$841$	−22.4376	−	9.98985i	−0.773709	−	0.344477i
$842$	−27.4524	+	24.7182i	−0.946071	+	0.851847i
$843$			8.37509i			0.288453i
$844$	−5.14205	+	15.8256i	−0.176997	+	0.544740i
$845$	10.6547	−	14.2702i	0.366533	−	0.490909i
$846$	8.24981	+	1.75355i	0.283634	+	0.0602883i
$847$	−3.75608	+	1.22043i	−0.129061	+	0.0419343i
$848$	5.14767	−	7.08517i	0.176772	−	0.243306i
$849$	−2.01624	+	3.49222i	−0.0691970	+	0.119853i
$850$	0.199194	+	0.00519207i	0.00683231	+	0.000178087i
$851$	−23.9512	+	41.4848i	−0.821038	+	1.42208i
$852$	7.01188	+	0.736978i	0.240223	+	0.0252485i
$853$	−21.2646	−	19.1468i	−0.728088	−	0.655573i	0.219302	−	0.975657i	$-0.429622\pi$
$853$	−21.2646	−	19.1468i	−0.728088	−	0.655573i	−0.947389	+	0.320084i	$0.896289\pi$
$854$	1.85102	+	5.69684i	0.0633404	+	0.194942i
$855$	−22.9160	+	12.6844i	−0.783712	+	0.433799i
$856$	−2.94353	+	9.05925i	−0.100608	+	0.309639i
$857$	−38.2548	+	22.0864i	−1.30676	+	0.754457i	−0.981554	−	0.191186i	$-0.938766\pi$
$857$	−38.2548	+	22.0864i	−1.30676	+	0.754457i	−0.325205	+	0.945644i	$0.605433\pi$
$858$	0.276174	+	1.29930i	0.00942841	+	0.0443572i
$859$	5.48441	+	52.1806i	0.187126	+	1.78038i	0.536998	+	0.843583i	$0.319558\pi$
$859$	5.48441	+	52.1806i	0.187126	+	1.78038i	−0.349873	+	0.936797i	$0.613775\pi$
$860$	−12.1606	+	20.4430i	−0.414674	+	0.697099i
$861$	−0.113266	+	0.0504291i	−0.00386008	+	0.00171862i
$862$	−9.60565	−	13.2210i	−0.327170	−	0.450310i
$863$	20.5468	+	28.2803i	0.699422	+	0.962671i	0.999960	+	0.00890168i	$0.00283353\pi$
$863$	20.5468	+	28.2803i	0.699422	+	0.962671i	−0.300539	+	0.953770i	$0.597166\pi$
$864$	−2.90545	+	1.29359i	−0.0988454	+	0.0440088i
$865$	−39.3461	+	27.8107i	−1.33781	+	0.945591i
$866$	12.5208	−	9.09691i	0.425475	−	0.309126i
$867$	9.04052	+	2.93744i	0.307032	+	0.0997608i
$868$	0.356191	+	0.205647i	0.0120899	+	0.00698012i
$869$	2.89648	−	0.615665i	0.0982562	−	0.0208850i
$870$	−2.49479	−	0.846700i	−0.0845814	−	0.0287058i
$871$	−17.5269	+	19.4656i	−0.593875	+	0.659565i
$872$	−13.4328	−	12.0950i	−0.454893	−	0.409588i
$873$	−18.3530	+	25.2607i	−0.621154	+	0.854945i
$874$	−36.4590	−	0.183332i	−1.23324	−	0.00620129i
$875$	3.71571	−	2.48373i	0.125614	−	0.0839654i
$876$	−2.32279	−	4.02320i	−0.0784800	−	0.135931i
$877$	26.4320	+	2.77812i	0.892546	+	0.0938103i	0.539686	−	0.841866i	$-0.318543\pi$
$877$	26.4320	+	2.77812i	0.892546	+	0.0938103i	0.352859	+	0.935676i	$0.385209\pi$
$878$	−2.91781	+	13.7272i	−0.0984713	+	0.463271i
$879$	−0.456930	+	0.507473i	−0.0154119	+	0.0171166i
$880$	2.24136	+	0.760690i	0.0755564	+	0.0256429i
$881$	10.0682	−	30.9867i	0.339206	−	1.04397i	−0.625407	−	0.780299i	$-0.715067\pi$
$881$	10.0682	−	30.9867i	0.339206	−	1.04397i	0.964613	−	0.263670i	$-0.0849331\pi$
$882$			18.3815i			0.618938i
$883$	−9.72031	+	8.75220i	−0.327114	+	0.294535i	−0.816281	−	0.577655i	$-0.803968\pi$
$883$	−9.72031	+	8.75220i	−0.327114	+	0.294535i	0.489166	+	0.872191i	$0.337301\pi$
$884$	−0.00934788	−	0.0889391i	−0.000314403	−	0.00299135i
$885$	1.70872	+	0.787606i	0.0574380	+	0.0264751i
$886$	−11.1746	−	8.11883i	−0.375418	−	0.272757i
$887$	14.2964	−	1.50261i	0.480025	−	0.0504526i	0.138574	−	0.990352i	$-0.455748\pi$
$887$	14.2964	−	1.50261i	0.480025	−	0.0504526i	0.341451	+	0.939899i	$0.389082\pi$
$888$	−1.30262	+	2.92572i	−0.0437129	+	0.0981809i
$889$	0.883049	−	0.393159i	0.0296165	−	0.0131861i
$890$	5.98889	−	10.0678i	0.200748	−	0.337473i
$891$	6.07602	+	2.70522i	0.203554	+	0.0906282i
$892$	19.7160	+	6.40612i	0.660141	+	0.214493i
$893$	11.8132	+	6.89977i	0.395312	+	0.230892i
$894$	−1.97011	+	6.06336i	−0.0658902	+	0.202789i
$895$	−35.6768	−	21.2226i	−1.19254	−	0.709392i
$896$	−0.267488	+	0.297075i	−0.00893613	+	0.00992458i
$897$	2.18230	−	10.2669i	0.0728650	−	0.342803i
$898$	10.2401	+	1.07628i	0.341716	+	0.0359158i
$899$	1.08386	−	1.87730i	0.0361488	−	0.0626116i
$900$	−13.0655	−	3.13509i	−0.435517	−	0.104503i
$901$	−0.349017			−0.0116275
$902$	−0.238787	−	0.536324i	−0.00795073	−	0.0178576i
$903$	0.494419	−	2.32606i	0.0164532	−	0.0774063i
$904$	2.62428	+	8.07669i	0.0872821	+	0.268627i
$905$	−9.31838	−	1.10233i	−0.309753	−	0.0366428i
$906$	7.73193	+	8.58717i	0.256876	+	0.285290i
$907$	−13.2181	+	7.63145i	−0.438898	+	0.253398i	−0.703130	−	0.711061i	$-0.748215\pi$
$907$	−13.2181	+	7.63145i	−0.438898	+	0.253398i	0.264232	+	0.964459i	$0.414882\pi$
$908$	−3.53788	+	3.18552i	−0.117409	+	0.105715i
$909$	32.3110	+	14.3858i	1.07169	+	0.477146i
$910$	−1.32265	−	1.50801i	−0.0438454	−	0.0499900i
$911$	3.15106	+	2.28938i	0.104399	+	0.0758506i	0.638760	−	0.769406i	$-0.279448\pi$
$911$	3.15106	+	2.28938i	0.104399	+	0.0758506i	−0.534361	+	0.845257i	$0.679448\pi$
$912$	−2.42546	+	0.242601i	−0.0803149	+	0.00803334i
$913$	2.55481	+	3.51639i	0.0845518	+	0.116376i
$914$	2.88071	−	27.4081i	0.0952853	−	0.906579i
$915$	−17.2149	+	7.39733i	−0.569107	+	0.244548i
$916$	−1.47379	−	14.0222i	−0.0486954	−	0.463306i
$917$	−0.513426	−	2.41548i	−0.0169548	−	0.0797662i
$918$	0.109766	+	0.0633735i	0.00362282	+	0.00209164i
$919$	−7.84872	+	24.1559i	−0.258905	+	0.796829i	0.734130	+	0.679009i	$0.237590\pi$
$919$	−7.84872	+	24.1559i	−0.258905	+	0.796829i	−0.993035	+	0.117820i	$0.962410\pi$
$920$	−13.7350	−	12.6950i	−0.452830	−	0.418542i
$921$	−8.82111	−	1.87499i	−0.290666	−	0.0617829i
$922$	−6.41612	+	30.1855i	−0.211304	+	0.994106i
$923$	16.6297	−	22.8888i	0.547373	−	0.753394i
$924$	−0.236631			−0.00778460
$925$	−25.1631	+	13.6664i	−0.827359	+	0.449348i
$926$	11.2524	+	19.4897i	0.369775	+	0.640470i
$927$	−21.0973	−	47.3853i	−0.692926	−	1.55634i
$928$	1.56573	+	1.40979i	0.0513977	+	0.0462787i
$929$	−29.2752	+	32.5134i	−0.960490	+	1.06673i	0.0372348	+	0.999307i	$0.488145\pi$
$929$	−29.2752	+	32.5134i	−0.960490	+	1.06673i	−0.997724	+	0.0674251i	$0.978522\pi$
$930$	−0.538553	+	1.16840i	−0.0176598	+	0.0383132i
$931$	−9.35604	+	28.3098i	−0.306632	+	0.927815i
$932$			1.18384i			0.0387781i
$933$	1.91666	+	9.01717i	0.0627486	+	0.295209i
$934$	10.8852	+	4.84641i	0.356175	+	0.158579i
$935$	−0.0279776	−	0.0900834i	−0.000914965	−	0.00294604i
$936$	−0.630335	+	5.99723i	−0.0206031	+	0.196026i
$937$	20.1704	−	2.12000i	0.658939	−	0.0692573i	0.230844	−	0.972991i	$-0.425851\pi$
$937$	20.1704	−	2.12000i	0.658939	−	0.0692573i	0.428095	+	0.903734i	$0.359185\pi$
$938$	−2.74272	−	3.77502i	−0.0895528	−	0.123259i
$939$	−5.58776	−	4.05974i	−0.182350	−	0.132485i
$940$	2.08153	+	6.70218i	0.0678919	+	0.218601i
$941$	−1.15106	−	10.9516i	−0.0375233	−	0.357011i	−0.997133	−	0.0756744i	$-0.975889\pi$
$941$	−1.15106	−	10.9516i	−0.0375233	−	0.357011i	0.959609	−	0.281336i	$-0.0907776\pi$
$942$	2.39142	+	0.777020i	0.0779167	+	0.0253167i
$943$			4.63906i			0.151068i
$944$	−1.00682	−	1.11819i	−0.0327692	−	0.0363939i
$945$	2.83095	−	0.260300i	0.0920909	−	0.00846756i
$946$	11.0141	+	2.34112i	0.358100	+	0.0761165i
$947$	−12.6268	−	11.3693i	−0.410317	−	0.369451i	0.437968	−	0.898990i	$-0.355698\pi$
$947$	−12.6268	−	11.3693i	−0.410317	−	0.369451i	−0.848285	+	0.529539i	$0.822365\pi$
$948$	−1.55581	−	0.163523i	−0.0505305	−	0.00531097i
$949$	−18.6417			−0.605136
$950$	−18.5267	−	11.4787i	−0.601087	−	0.372417i
$951$	13.4744			0.436937
$952$	0.0158439	+	0.00166526i	0.000513503	+	5.39714e-5i
$953$	−15.8731	−	14.2922i	−0.514179	−	0.462969i	0.370725	−	0.928743i	$-0.379109\pi$
$953$	−15.8731	−	14.2922i	−0.514179	−	0.462969i	−0.884904	+	0.465774i	$0.845776\pi$
$954$	23.0202	+	4.89310i	0.745307	+	0.158420i
$955$	7.91871	−	35.0054i	0.256243	−	1.13275i
$956$	−2.05282	−	2.27988i	−0.0663928	−	0.0737367i
$957$			1.24716i			0.0403151i
$958$	4.50829	+	1.46483i	0.145656	+	0.0473266i
$959$	0.698135	+	6.64231i	0.0225440	+	0.214491i
$960$	−1.00197	−	0.748110i	−0.0323383	−	0.0241451i
$961$	24.2231	+	17.5991i	0.781391	+	0.567714i
$962$	7.55383	+	10.3970i	0.243545	+	0.335211i
$963$	−25.4573	+	2.67567i	−0.820351	+	0.0862224i
$964$	−0.0301881	+	0.287221i	−0.000972294	+	0.00925076i
$965$	−7.63353	+	22.4921i	−0.245732	+	0.724046i
$966$	1.70819	+	0.760533i	0.0549600	+	0.0244698i
$967$	−4.12474	−	19.4054i	−0.132643	−	0.624034i	−0.993369	−	0.114967i	$-0.963324\pi$
$967$	−4.12474	−	19.4054i	−0.132643	−	0.624034i	0.860727	−	0.509067i	$-0.170010\pi$
$968$			9.87953i			0.317540i
$969$	0.0646373	+	0.0725170i	0.00207645	+	0.00232958i
$970$	−25.8013	−	3.05221i	−0.828431	−	0.0980006i
$971$	11.0843	−	12.3104i	0.355713	−	0.395059i	−0.538556	−	0.842590i	$-0.681030\pi$
$971$	11.0843	−	12.3104i	0.355713	−	0.395059i	0.894269	+	0.447531i	$0.147696\pi$
$972$	−9.70172	−	8.73547i	−0.311183	−	0.280190i
$973$	1.67478	+	3.76161i	0.0536909	+	0.120592i
$974$	−7.59836	−	13.1607i	−0.243467	−	0.421697i
$975$	4.31847	−	4.55181i	0.138302	−	0.145775i
$976$	14.9842			0.479634
$977$	16.2405	−	22.3531i	0.519578	−	0.715138i	−0.465919	−	0.884827i	$-0.654276\pi$
$977$	16.2405	−	22.3531i	0.519578	−	0.715138i	0.985498	+	0.169689i	$0.0542763\pi$
$978$	−1.68432	+	7.92408i	−0.0538585	+	0.253384i
$979$	−5.42426	−	1.15296i	−0.173360	−	0.0368488i
$980$	−13.3445	+	7.47434i	−0.426275	+	0.238759i
$981$	15.0103	−	46.1970i	0.479242	−	1.47496i
$982$	−0.0396481	−	0.0228909i	−0.00126522	−	0.000730477i
$983$	−1.78694	−	8.40688i	−0.0569945	−	0.268138i	0.940419	−	0.340018i	$-0.110433\pi$
$983$	−1.78694	−	8.40688i	−0.0569945	−	0.268138i	−0.997413	+	0.0718805i	$0.977100\pi$
$984$	0.0324197	+	0.308453i	0.00103350	+	0.00983313i
$985$	4.63703	−	7.79522i	0.147748	−	0.248376i
$986$	0.00877674	−	0.0835051i	0.000279508	−	0.00265934i
$987$	−0.412398	−	0.567618i	−0.0131268	−	0.0180675i
$988$	−4.02333	+	8.91563i	−0.127999	+	0.283644i
$989$	−71.9840	−	52.2994i	−2.28896	−	1.66302i
$990$	0.582387	+	6.33389i	0.0185095	+	0.201304i
$991$	29.1347	+	12.9716i	0.925493	+	0.412056i	0.813442	−	0.581646i	$-0.197591\pi$
$991$	29.1347	+	12.9716i	0.925493	+	0.412056i	0.112051	+	0.993702i	$0.464258\pi$
$992$	0.764598	−	0.688448i	0.0242760	−	0.0218582i
$993$	−3.97520	+	2.29509i	−0.126149	+	0.0728323i
$994$	3.37245	+	3.74548i	0.106968	+	0.118799i
$995$	1.92240	+	9.66153i	0.0609443	+	0.306291i
$996$	−0.709578	−	2.18386i	−0.0224838	−	0.0691981i
$997$	3.60074	−	16.9402i	0.114037	−	0.536500i	−0.883628	−	0.468190i	$-0.844906\pi$
$997$	3.60074	−	16.9402i	0.114037	−	0.536500i	0.997664	−	0.0683096i	$-0.0217606\pi$
$998$	5.07115	+	11.3900i	0.160524	+	0.360544i
$999$	−18.2141			−0.576269

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.15	✓	400
19.11	even	3	inner	950.2.x.a.809.40	yes	400
25.14	even	10	inner	950.2.x.a.539.40	yes	400
475.239	even	30	inner	950.2.x.a.239.15	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.15	✓	400	1.1	even	1	trivial
950.2.x.a.239.15	yes	400	475.239	even	30	inner
950.2.x.a.539.40	yes	400	25.14	even	10	inner
950.2.x.a.809.40	yes	400	19.11	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(0.415578 + 0.374188i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-1.68108 + 1.47444i) q^{5} +(-0.374188 - 0.415578i) q^{6} -0.399754i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.280897 - 2.67256i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(0.415578 + 0.374188i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-1.68108 + 1.47444i) q^{5} +(-0.374188 - 0.415578i) q^{6} -0.399754i q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.280897 - 2.67256i) q^{9} +(1.82599 - 1.29065i) q^{10} +(-0.856364 - 0.622185i) q^{11} +(0.328698 + 0.452414i) q^{12} +(2.23171 - 0.234562i) q^{13} +(-0.0417857 + 0.397564i) q^{14} +(-1.25034 - 0.0162925i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.00828578 - 0.0389815i) q^{17} +2.68728i q^{18} +(-1.36780 + 4.13873i) q^{19} +(-1.95089 + 1.09271i) q^{20} +(0.149583 - 0.166129i) q^{21} +(0.786637 + 0.708291i) q^{22} +(-3.40210 - 7.64124i) q^{23} +(-0.279607 - 0.484294i) q^{24} +(0.652034 - 4.95730i) q^{25} -2.24401 q^{26} +(1.86940 - 2.57301i) q^{27} +(0.0831135 - 0.391018i) q^{28} +(-2.06086 - 0.438049i) q^{29} +(1.24178 + 0.146899i) q^{30} +(-0.317938 + 0.978512i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(-0.123072 - 0.579007i) q^{33} +(0.00416571 + 0.0396341i) q^{34} +(0.589415 + 0.672017i) q^{35} +(0.280897 - 2.67256i) q^{36} +(-3.36623 - 4.63321i) q^{37} +(1.79292 - 3.97309i) q^{38} +(1.01522 + 0.737601i) q^{39} +(2.05443 - 0.882798i) q^{40} +(-0.506671 - 0.225585i) q^{41} +(-0.166129 + 0.149583i) q^{42} +(9.21245 - 5.31881i) q^{43} +(-0.708291 - 0.786637i) q^{44} +(4.41274 + 4.07861i) q^{45} +(2.58473 + 7.95499i) q^{46} +(0.652538 - 3.06995i) q^{47} +(0.227453 + 0.510868i) q^{48} +6.84020 q^{49} +(-1.16664 + 4.86199i) q^{50} +(0.0111430 - 0.0193003i) q^{51} +(2.23171 + 0.234562i) q^{52} +(1.82084 - 8.56637i) q^{53} +(-2.12811 + 2.36351i) q^{54} +(2.35699 - 0.216720i) q^{55} +(-0.123531 + 0.380189i) q^{56} +(-2.11709 + 1.20815i) q^{57} +(2.00378 + 0.651068i) q^{58} +(-1.37458 - 0.612004i) q^{59} +(-1.21963 - 0.275896i) q^{60} +(13.6888 - 6.09464i) q^{61} +(0.418479 - 0.939918i) q^{62} +(-1.06837 + 0.112290i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-3.40583 + 3.68485i) q^{65} +(0.0618748 + 0.588700i) q^{66} +(-8.67447 + 7.81052i) q^{67} -0.0398524i q^{68} +(1.44542 - 4.44855i) q^{69} +(-0.515941 - 0.729946i) q^{70} +(8.43631 - 9.36947i) q^{71} +(-0.558717 + 2.62856i) q^{72} +(-8.26184 - 0.868354i) q^{73} +(2.86348 + 4.95970i) q^{74} +(2.12593 - 1.81616i) q^{75} +(-2.19840 + 3.76391i) q^{76} +(-0.248721 + 0.342335i) q^{77} +(-0.932559 - 0.839679i) q^{78} +(-1.87187 + 2.07892i) q^{79} +(-2.13545 + 0.663216i) q^{80} +(-6.14600 + 1.30637i) q^{81} +(0.480316 + 0.277310i) q^{82} +(-3.90522 - 1.26888i) q^{83} +(0.180854 - 0.131398i) q^{84} +(0.0714051 + 0.0533140i) q^{85} +(-9.71795 + 4.32671i) q^{86} +(-0.692534 - 0.953192i) q^{87} +(0.622185 + 0.856364i) q^{88} +(4.78592 - 2.13083i) q^{89} +(-3.96224 - 4.51752i) q^{90} +(-0.0937673 - 0.892136i) q^{91} +(-1.73905 - 8.18159i) q^{92} +(-0.498275 + 0.287679i) q^{93} +(-0.969861 + 2.98492i) q^{94} +(-3.80295 - 8.97427i) q^{95} +(-0.172807 - 0.531845i) q^{96} +(-8.63472 - 7.77474i) q^{97} +(-6.80273 - 0.714995i) q^{98} +(-1.42227 + 2.46345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Introduction

L-functions

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