LMFDB - Embedded newform 462.2.bc.b.95.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(95,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 20, 21]))

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

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

chi := DirichletCharacter("462.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.bc (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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.15
Character	$\chi$	$=$	462.95
Dual form			462.2.bc.b.107.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +O(q^{10})$	\(q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +(2.80319 + 1.61843i) q^{10} +(-1.28849 + 3.05611i) q^{11} +(-1.73012 + 0.0818105i) q^{12} +(-0.480491 + 0.661339i) q^{13} +(2.06299 - 1.65652i) q^{14} +(0.905311 - 5.53281i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.0357707 - 0.340336i) q^{17} +(1.19214 + 2.75296i) q^{18} +(-1.57259 - 7.39846i) q^{19} +(-1.90257 + 2.61867i) q^{20} +(-3.94729 - 2.32785i) q^{21} +(-2.90468 - 1.60088i) q^{22} +(7.39091 - 4.26714i) q^{23} +(0.0994842 - 1.72919i) q^{24} +(-3.66496 - 4.07035i) q^{25} +(-0.607492 - 0.546988i) q^{26} +(3.73012 - 3.61749i) q^{27} +(1.43180 + 2.22485i) q^{28} +(3.18339 + 9.79746i) q^{29} +(5.40787 + 1.47869i) q^{30} +(2.17023 - 0.966248i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.814730 + 5.68649i) q^{33} +0.342211 q^{34} +(-8.00770 + 3.03599i) q^{35} +(-2.86249 + 0.897850i) q^{36} +(-6.94087 + 7.70862i) q^{37} +(7.52231 - 0.790627i) q^{38} +(-0.514154 + 1.31923i) q^{39} +(-2.40545 - 2.16588i) q^{40} +(0.935825 - 2.88017i) q^{41} +(2.72770 - 3.68234i) q^{42} +3.41292i q^{43} +(1.89573 - 2.72143i) q^{44} +(-0.916300 - 9.66722i) q^{45} +(3.47121 + 7.79646i) q^{46} +(-0.0447524 - 0.210543i) q^{47} +(1.70932 + 0.279689i) q^{48} +(-0.0578104 + 6.99976i) q^{49} +(4.43115 - 3.21942i) q^{50} +(-0.209584 - 0.554436i) q^{51} +(0.607492 - 0.546988i) q^{52} +(3.55891 + 7.99344i) q^{53} +(3.20777 + 4.08781i) q^{54} +(7.34059 + 7.83358i) q^{55} +(-2.36232 + 1.19140i) q^{56} +(-5.88792 - 11.7031i) q^{57} +(-10.0765 + 2.14184i) q^{58} +(1.67693 - 7.88931i) q^{59} +(-2.03586 + 5.22368i) q^{60} +(-3.55390 + 7.98220i) q^{61} +(0.734104 + 2.25934i) q^{62} +(-7.63654 - 2.16410i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.32300 + 2.29150i) q^{65} +(-5.57018 - 1.40467i) q^{66} +(0.231946 - 0.401742i) q^{67} +(-0.0357707 + 0.340336i) q^{68} +(10.5056 - 10.3988i) q^{69} +(-2.18232 - 8.28118i) q^{70} +(5.68447 + 7.82400i) q^{71} +(-0.593719 - 2.94066i) q^{72} +(-0.978446 + 4.60323i) q^{73} +(-6.94087 - 7.70862i) q^{74} +(-7.92979 - 5.20746i) q^{75} +7.56375i q^{76} +(8.14158 - 3.27332i) q^{77} +(-1.25826 - 0.649234i) q^{78} +(5.51601 + 0.579756i) q^{79} +(2.40545 - 2.16588i) q^{80} +(4.65833 - 7.70065i) q^{81} +(2.76657 + 1.23176i) q^{82} +(-9.95773 + 7.23471i) q^{83} +(3.37704 + 3.09767i) q^{84} +(-1.05347 - 0.342293i) q^{85} +(-3.39422 - 0.356747i) q^{86} +(9.64142 + 15.0139i) q^{87} +(2.50837 + 2.16981i) q^{88} +(1.11328 - 0.642752i) q^{89} +(9.71004 + 0.0992200i) q^{90} +(2.13755 - 0.329512i) q^{91} +(-8.11659 + 2.63724i) q^{92} +(3.21089 - 2.57308i) q^{93} +(0.214068 - 0.0224994i) q^{94} +(-23.9477 - 5.09024i) q^{95} +(-0.456829 + 1.67072i) q^{96} +(-8.33580 - 6.05631i) q^{97} +(-6.95537 - 0.789168i) q^{98} +(1.13563 + 9.88485i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$3$	1.67530	−	0.439734i	0.967236	−	0.253881i
$3$	1.67530	−	0.439734i	0.967236	−	0.253881i
$4$	−0.978148	−	0.207912i	−0.489074	−	0.103956i
$5$	1.31655	−	2.95701i	0.588777	−	1.32242i	−0.335984	−	0.941868i	$-0.609069\pi$
$5$	1.31655	−	2.95701i	0.588777	−	1.32242i	0.924761	−	0.380547i	$-0.124264\pi$
$6$	0.262209	+	1.71209i	0.107046	+	0.698957i
$7$	−1.86309	−	1.87854i	−0.704181	−	0.710021i
$7$	−1.86309	−	1.87854i	−0.704181	−	0.710021i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	2.61327	−	1.47338i	0.871089	−	0.491125i
$10$	2.80319	+	1.61843i	0.886448	+	0.511791i
$11$	−1.28849	+	3.05611i	−0.388494	+	0.921451i
$11$	−1.28849	+	3.05611i	−0.388494	+	0.921451i
$12$	−1.73012	+	0.0818105i	−0.499442	+	0.0236167i
$13$	−0.480491	+	0.661339i	−0.133264	+	0.183423i	−0.870434	−	0.492285i	$-0.836162\pi$
$13$	−0.480491	+	0.661339i	−0.133264	+	0.183423i	0.737170	+	0.675708i	$0.236162\pi$
$14$	2.06299	−	1.65652i	0.551358	−	0.442724i
$15$	0.905311	−	5.53281i	0.233750	−	1.42857i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−0.0357707	−	0.340336i	−0.00867568	−	0.0825436i	0.989327	−	0.145710i	$-0.0465467\pi$
$17$	−0.0357707	−	0.340336i	−0.00867568	−	0.0825436i	−0.998003	+	0.0631666i	$0.979880\pi$
$18$	1.19214	+	2.75296i	0.280991	+	0.648879i
$19$	−1.57259	−	7.39846i	−0.360777	−	1.69732i	−0.666748	−	0.745283i	$-0.732314\pi$
$19$	−1.57259	−	7.39846i	−0.360777	−	1.69732i	0.305971	−	0.952041i	$-0.401019\pi$
$20$	−1.90257	+	2.61867i	−0.425428	+	0.585552i
$21$	−3.94729	−	2.32785i	−0.861369	−	0.507979i
$22$	−2.90468	−	1.60088i	−0.619280	−	0.341309i
$23$	7.39091	−	4.26714i	1.54111	−	0.889761i	0.542342	−	0.840158i	$-0.317538\pi$
$23$	7.39091	−	4.26714i	1.54111	−	0.889761i	0.998769	−	0.0496035i	$-0.0157958\pi$
$24$	0.0994842	−	1.72919i	0.0203071	−	0.352970i
$25$	−3.66496	−	4.07035i	−0.732992	−	0.814071i
$26$	−0.607492	−	0.546988i	−0.119139	−	0.107273i
$27$	3.73012	−	3.61749i	0.717861	−	0.696186i
$28$	1.43180	+	2.22485i	0.270586	+	0.420456i
$29$	3.18339	+	9.79746i	0.591140	+	1.81934i	0.573070	+	0.819507i	$0.305752\pi$
$29$	3.18339	+	9.79746i	0.591140	+	1.81934i	0.0180706	+	0.999837i	$0.494248\pi$
$30$	5.40787	+	1.47869i	0.987338	+	0.269970i
$31$	2.17023	−	0.966248i	0.389785	−	0.173543i	−0.202481	−	0.979286i	$-0.564900\pi$
$31$	2.17023	−	0.966248i	0.389785	−	0.173543i	0.592265	+	0.805743i	$0.298234\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	−0.814730	+	5.68649i	−0.141826	+	0.989892i
$34$	0.342211			0.0586886
$35$	−8.00770	+	3.03599i	−1.35355	+	0.513175i
$36$	−2.86249	+	0.897850i	−0.477082	+	0.149642i
$37$	−6.94087	+	7.70862i	−1.14107	+	1.26729i	−0.182260	+	0.983250i	$0.558341\pi$
$37$	−6.94087	+	7.70862i	−1.14107	+	1.26729i	−0.958813	+	0.284039i	$0.908326\pi$
$38$	7.52231	−	0.790627i	1.22028	−	0.128257i
$39$	−0.514154	+	1.31923i	−0.0823305	+	0.211246i
$40$	−2.40545	−	2.16588i	−0.380335	−	0.342455i
$41$	0.935825	−	2.88017i	0.146151	−	0.449807i	−0.851006	−	0.525156i	$-0.824007\pi$
$41$	0.935825	−	2.88017i	0.146151	−	0.449807i	0.997157	+	0.0753487i	$0.0240070\pi$
$42$	2.72770	−	3.68234i	0.420894	−	0.568197i
$43$			3.41292i			0.520465i	0.965546	+	0.260233i	$0.0837993\pi$
$43$			3.41292i			0.520465i	−0.965546	+	0.260233i	$0.916201\pi$
$44$	1.89573	−	2.72143i	0.285792	−	0.410271i
$45$	−0.916300	−	9.66722i	−0.136594	−	1.44110i
$46$	3.47121	+	7.79646i	0.511802	+	1.14953i
$47$	−0.0447524	−	0.210543i	−0.00652780	−	0.0307109i	0.974763	−	0.223242i	$-0.0716639\pi$
$47$	−0.0447524	−	0.210543i	−0.00652780	−	0.0307109i	−0.981291	+	0.192531i	$0.938331\pi$
$48$	1.70932	+	0.279689i	0.246719	+	0.0403696i
$49$	−0.0578104	+	6.99976i	−0.00825863	+	0.999966i
$50$	4.43115	−	3.21942i	0.626659	−	0.455294i
$51$	−0.209584	−	0.554436i	−0.0293477	−	0.0776365i
$52$	0.607492	−	0.546988i	0.0842439	−	0.0758536i
$53$	3.55891	+	7.99344i	0.488854	+	1.09798i	0.974614	+	0.223891i	$0.0718761\pi$
$53$	3.55891	+	7.99344i	0.488854	+	1.09798i	−0.485760	+	0.874092i	$0.661457\pi$
$54$	3.20777	+	4.08781i	0.436522	+	0.556281i
$55$	7.34059	+	7.83358i	0.989805	+	1.05628i
$56$	−2.36232	+	1.19140i	−0.315678	+	0.159208i
$57$	−5.88792	−	11.7031i	−0.779875	−	1.55012i
$58$	−10.0765	+	2.14184i	−1.32312	+	0.281237i
$59$	1.67693	−	7.88931i	0.218317	−	1.02710i	−0.723331	−	0.690502i	$-0.757390\pi$
$59$	1.67693	−	7.88931i	0.218317	−	1.02710i	0.941648	−	0.336599i	$-0.109277\pi$
$60$	−2.03586	+	5.22368i	−0.262829	+	0.674374i
$61$	−3.55390	+	7.98220i	−0.455031	+	1.02202i	0.529740	+	0.848160i	$0.322289\pi$
$61$	−3.55390	+	7.98220i	−0.455031	+	1.02202i	−0.984771	+	0.173856i	$0.944377\pi$
$62$	0.734104	+	2.25934i	0.0932314	+	0.286937i
$63$	−7.63654	−	2.16410i	−0.962113	−	0.272650i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	1.32300	+	2.29150i	0.164098	+	0.284226i
$66$	−5.57018	−	1.40467i	−0.685642	−	0.172903i
$67$	0.231946	−	0.401742i	0.0283367	−	0.0490807i	−0.851509	−	0.524340i	$-0.824312\pi$
$67$	0.231946	−	0.401742i	0.0283367	−	0.0490807i	0.879846	+	0.475259i	$0.157646\pi$
$68$	−0.0357707	+	0.340336i	−0.00433784	+	0.0412718i
$69$	10.5056	−	10.3988i	1.26472	−	1.25187i
$70$	−2.18232	−	8.28118i	−0.260838	−	0.989790i
$71$	5.68447	+	7.82400i	0.674623	+	0.928538i	0.999854	−	0.0170961i	$-0.00544213\pi$
$71$	5.68447	+	7.82400i	0.674623	+	0.928538i	−0.325231	+	0.945635i	$0.605442\pi$
$72$	−0.593719	−	2.94066i	−0.0699705	−	0.346560i
$73$	−0.978446	+	4.60323i	−0.114518	+	0.538767i	0.883063	+	0.469255i	$0.155478\pi$
$73$	−0.978446	+	4.60323i	−0.114518	+	0.538767i	−0.997581	+	0.0695119i	$0.977856\pi$
$74$	−6.94087	−	7.70862i	−0.806860	−	0.896109i
$75$	−7.92979	−	5.20746i	−0.915653	−	0.601305i
$76$			7.56375i			0.867621i
$77$	8.14158	−	3.27332i	0.927819	−	0.373030i
$78$	−1.25826	−	0.649234i	−0.142470	−	0.0735113i
$79$	5.51601	+	0.579756i	0.620600	+	0.0652277i	0.409610	−	0.912261i	$-0.365665\pi$
$79$	5.51601	+	0.579756i	0.620600	+	0.0652277i	0.210990	+	0.977488i	$0.432331\pi$
$80$	2.40545	−	2.16588i	0.268937	−	0.242152i
$81$	4.65833	−	7.70065i	0.517592	−	0.855627i
$82$	2.76657	+	1.23176i	0.305517	+	0.136025i
$83$	−9.95773	+	7.23471i	−1.09300	+	0.794113i	−0.979904	−	0.199471i	$-0.936078\pi$
$83$	−9.95773	+	7.23471i	−1.09300	+	0.794113i	−0.113099	+	0.993584i	$0.536078\pi$
$84$	3.37704	+	3.09767i	0.368466	+	0.337984i
$85$	−1.05347	−	0.342293i	−0.114265	−	0.0371269i
$86$	−3.39422	−	0.356747i	−0.366008	−	0.0384690i
$87$	9.64142	+	15.0139i	1.03367	+	1.60965i
$88$	2.50837	+	2.16981i	0.267393	+	0.231303i
$89$	1.11328	−	0.642752i	0.118007	−	0.0681316i	−0.439835	−	0.898079i	$-0.644963\pi$
$89$	1.11328	−	0.642752i	0.118007	−	0.0681316i	0.557842	+	0.829947i	$0.311630\pi$
$90$	9.71004	+	0.0992200i	1.02353	+	0.0104587i
$91$	2.13755	−	0.329512i	0.224076	−	0.0345423i
$92$	−8.11659	+	2.63724i	−0.846213	+	0.274951i
$93$	3.21089	−	2.57308i	0.332954	−	0.266816i
$94$	0.214068	−	0.0224994i	0.0220794	−	0.00232064i
$95$	−23.9477	−	5.09024i	−2.45698	−	0.522248i
$96$	−0.456829	+	1.67072i	−0.0466249	+	0.170517i
$97$	−8.33580	−	6.05631i	−0.846372	−	0.614926i	0.0777710	−	0.996971i	$-0.475220\pi$
$97$	−8.33580	−	6.05631i	−0.846372	−	0.614926i	−0.924143	+	0.382046i	$0.875220\pi$
$98$	−6.95537	−	0.789168i	−0.702599	−	0.0797180i
$99$	1.13563	+	9.88485i	0.114135	+	0.993465i
$100$	2.73860	+	4.74339i	0.273860	+	0.474339i
$101$	8.89693	−	3.96117i	0.885277	−	0.394151i	0.0868354	−	0.996223i	$-0.472325\pi$
$101$	8.89693	−	3.96117i	0.885277	−	0.394151i	0.798442	+	0.602072i	$0.205658\pi$
$102$	0.573306	−	0.150482i	0.0567657	−	0.0148999i
$103$	0.869455	−	0.965628i	0.0856700	−	0.0951461i	−0.698786	−	0.715331i	$-0.746276\pi$
$103$	0.869455	−	0.965628i	0.0856700	−	0.0951461i	0.784456	+	0.620185i	$0.212943\pi$
$104$	0.480491	+	0.661339i	0.0471160	+	0.0648497i
$105$	−12.0803	+	8.60745i	−1.17891	+	0.840001i
$106$	−8.32166	+	2.70387i	−0.808271	+	0.262623i
$107$	1.19877	−	0.254807i	0.115890	−	0.0246331i	−0.149602	−	0.988746i	$-0.547799\pi$
$107$	1.19877	−	0.254807i	0.115890	−	0.0246331i	0.265491	+	0.964113i	$0.414466\pi$
$108$	−4.40072	+	2.76291i	−0.423460	+	0.265861i
$109$	−6.46864	−	3.73467i	−0.619583	−	0.357716i	0.157124	−	0.987579i	$-0.449778\pi$
$109$	−6.46864	−	3.73467i	−0.619583	−	0.357716i	−0.776707	+	0.629862i	$0.783111\pi$
$110$	−8.55797	+	6.48154i	−0.815970	+	0.617991i
$111$	−8.23830	+	15.9664i	−0.781945	+	1.51546i
$112$	−0.937945	−	2.47392i	−0.0886275	−	0.233763i
$113$	−3.09954	−	1.00710i	−0.291580	−	0.0947401i	0.159575	−	0.987186i	$-0.448988\pi$
$113$	−3.09954	−	1.00710i	−0.291580	−	0.0947401i	−0.451155	+	0.892446i	$0.648988\pi$
$114$	12.2545	−	4.63236i	1.14774	−	0.433860i
$115$	−2.88752	−	27.4729i	−0.269262	−	2.56186i
$116$	−1.07682	−	10.2452i	−0.0999799	−	0.951246i
$117$	−0.281251	+	2.43620i	−0.0260016	+	0.225227i
$118$	7.67081	+	2.49240i	0.706155	+	0.229444i
$119$	−0.572690	+	0.701272i	−0.0524984	+	0.0642855i
$120$	−4.98226	−	2.57074i	−0.454816	−	0.234675i
$121$	−7.67960	−	7.87552i	−0.698145	−	0.715956i
$122$	−7.56699	−	4.36880i	−0.685083	−	0.395533i
$123$	0.301277	−	5.23667i	0.0271652	−	0.472175i
$124$	−2.32370	+	0.493917i	−0.208674	+	0.0443551i
$125$	−1.46903	+	0.477316i	−0.131394	+	0.0426924i
$126$	2.95048	−	7.36849i	0.262849	−	0.656438i
$127$	−0.0904237	−	0.124458i	−0.00802380	−	0.0110438i	0.804986	−	0.593293i	$-0.202173\pi$
$127$	−0.0904237	−	0.124458i	−0.00802380	−	0.0110438i	−0.813010	+	0.582250i	$0.802173\pi$
$128$	0.669131	−	0.743145i	0.0591433	−	0.0656853i
$129$	1.50078	+	5.71767i	0.132136	+	0.503413i
$130$	−2.41724	+	1.07622i	−0.212006	+	0.0943911i
$131$	0.324060	+	0.561288i	0.0283132	+	0.0490400i	0.879835	−	0.475280i	$-0.157653\pi$
$131$	0.324060	+	0.561288i	0.0283132	+	0.0490400i	−0.851522	+	0.524320i	$0.824320\pi$
$132$	1.97921	−	5.39284i	0.172269	−	0.469386i
$133$	−10.9684	+	16.7382i	−0.951082	+	1.45138i
$134$	0.375297	+	0.272669i	0.0324207	+	0.0235550i
$135$	−5.78609	−	15.7926i	−0.497987	−	1.35921i
$136$	−0.334732	−	0.0711496i	−0.0287031	−	0.00610103i
$137$	−12.7384	+	1.33886i	−1.08832	+	0.114387i	−0.631651	−	0.775253i	$-0.717623\pi$
$137$	−12.7384	+	1.33886i	−1.08832	+	0.114387i	−0.456664	+	0.889639i	$0.650956\pi$
$138$	9.24369	+	11.5350i	0.786875	+	0.981925i
$139$	−7.13507	+	2.31833i	−0.605189	+	0.196638i	−0.595553	−	0.803316i	$-0.703067\pi$
$139$	−7.13507	+	2.31833i	−0.605189	+	0.196638i	−0.00963571	+	0.999954i	$0.503067\pi$
$140$	8.46393	−	1.30475i	0.715332	−	0.110271i
$141$	−0.167557	−	0.333044i	−0.0141108	−	0.0280474i
$142$	−8.37533	+	4.83550i	−0.702842	+	0.405786i
$143$	−1.40202	−	2.32056i	−0.117243	−	0.194055i
$144$	2.98661	−	0.283084i	0.248885	−	0.0235903i
$145$	33.1623	+	3.48550i	2.75398	+	0.289455i
$146$	−4.47574	−	1.45425i	−0.370414	−	0.120355i
$147$	2.98119	+	11.7521i	0.245884	+	0.969299i
$148$	8.39191	−	6.09708i	0.689811	−	0.501177i
$149$	15.5155	+	6.90795i	1.27108	+	0.565921i	0.927718	−	0.373282i	$-0.121768\pi$
$149$	15.5155	+	6.90795i	1.27108	+	0.565921i	0.343362	+	0.939203i	$0.388434\pi$
$150$	6.00782	−	7.34202i	0.490536	−	0.599474i
$151$	6.00096	−	5.40329i	0.488351	−	0.439713i	−0.387805	−	0.921742i	$-0.626766\pi$
$151$	6.00096	−	5.40329i	0.488351	−	0.439713i	0.876156	+	0.482028i	$0.160100\pi$
$152$	−7.52231	−	0.790627i	−0.610140	−	0.0641283i
$153$	−0.594921	−	0.836685i	−0.0480965	−	0.0676420i
$154$	2.40436	+	8.43914i	0.193749	+	0.680045i
$155$		−	7.68950i		−	0.617635i
$156$	0.777202	−	1.18350i	0.0622259	−	0.0947562i
$157$	8.78714	+	9.75911i	0.701290	+	0.778862i	0.983581	−	0.180467i	$-0.0577609\pi$
$157$	8.78714	+	9.75911i	0.701290	+	0.778862i	−0.282291	+	0.959329i	$0.591094\pi$
$158$	−1.15316	+	5.42519i	−0.0917405	+	0.431605i
$159$	9.47724	+	11.8264i	0.751594	+	0.937898i
$160$	1.90257	+	2.61867i	0.150412	+	0.207024i
$161$	−21.7859	−	5.93404i	−1.71697	−	0.467668i
$162$	7.17153	+	5.43775i	0.563449	+	0.427230i
$163$	1.70500	−	16.2220i	0.133546	−	1.27061i	−0.698382	−	0.715725i	$-0.746096\pi$
$163$	1.70500	−	16.2220i	0.133546	−	1.27061i	0.831928	−	0.554883i	$-0.187237\pi$
$164$	−1.51420	+	2.62266i	−0.118239	+	0.204796i
$165$	15.7424	+	9.89569i	1.22554	+	0.770379i
$166$	−6.15422	−	10.6594i	−0.477660	−	0.827331i
$167$	−1.91262	−	1.38960i	−0.148003	−	0.107531i	0.511319	−	0.859391i	$-0.329157\pi$
$167$	−1.91262	−	1.38960i	−0.148003	−	0.107531i	−0.659323	+	0.751860i	$0.729157\pi$
$168$	−3.43370	+	3.03475i	−0.264916	+	0.234136i
$169$	3.81072	+	11.7282i	0.293133	+	0.902169i
$170$	0.450536	−	1.01192i	0.0345545	−	0.0776107i
$171$	−15.0103	−	17.0171i	−1.14787	−	1.30133i
$172$	0.709586	−	3.33834i	0.0541054	−	0.254546i
$173$	−6.51189	+	1.38414i	−0.495089	+	0.105235i	−0.448688	−	0.893688i	$-0.648109\pi$
$173$	−6.51189	+	1.38414i	−0.495089	+	0.105235i	−0.0464013	+	0.998923i	$0.514775\pi$
$174$	−15.9394	+	8.01922i	−1.20836	+	0.607936i
$175$	−0.818168	+	14.4682i	−0.0618477	+	1.09369i
$176$	−2.42012	+	2.26782i	−0.182424	+	0.170943i
$177$	−0.659848	−	13.9544i	−0.0495972	−	1.04888i
$178$	0.522861	+	1.17437i	0.0391901	+	0.0880225i
$179$	−4.06109	+	3.65662i	−0.303540	+	0.273309i	−0.806798	−	0.590828i	$-0.798801\pi$
$179$	−4.06109	+	3.65662i	−0.303540	+	0.273309i	0.503258	+	0.864136i	$0.332135\pi$
$180$	−1.11365	+	9.64648i	−0.0830067	+	0.719006i
$181$	−1.64131	+	1.19248i	−0.121997	+	0.0886363i	−0.647111	−	0.762396i	$-0.724023\pi$
$181$	−1.64131	+	1.19248i	−0.121997	+	0.0886363i	0.525113	+	0.851032i	$0.324023\pi$
$182$	0.104272	+	2.16028i	0.00772918	+	0.160131i
$183$	−2.44381	+	14.9354i	−0.180652	+	1.10405i
$184$	−1.77438	−	8.34779i	−0.130809	−	0.615408i
$185$	13.6565	+	30.6730i	1.00405	+	2.25512i
$186$	2.22336	+	3.46227i	0.163024	+	0.253866i
$187$	1.08619	+	0.329200i	0.0794304	+	0.0240735i
$188$			0.215247i			0.0156985i
$189$	−13.7451	−	0.267462i	−0.999811	−	0.0194550i
$190$	7.56558	−	23.2845i	0.548865	−	1.68923i
$191$	−11.1358	−	10.0267i	−0.805758	−	0.725508i	0.159389	−	0.987216i	$-0.449048\pi$
$191$	−11.1358	−	10.0267i	−0.805758	−	0.725508i	−0.965147	+	0.261708i	$0.915714\pi$
$192$	−1.61382	−	0.628965i	−0.116467	−	0.0453916i
$193$	−4.94152	+	0.519374i	−0.355698	+	0.0373854i	−0.280693	−	0.959798i	$-0.590564\pi$
$193$	−4.94152	+	0.519374i	−0.355698	+	0.0373854i	−0.0750055	+	0.997183i	$0.523897\pi$
$194$	6.89447	−	7.65708i	0.494994	−	0.549746i
$195$	3.22407	+	3.25719i	0.230881	+	0.233252i
$196$	1.51188	−	6.83478i	0.107991	−	0.488199i
$197$	7.69047			0.547924			0.273962	−	0.961741i	$-0.411666\pi$
$197$	7.69047			0.547924			0.273962	+	0.961741i	$0.411666\pi$
$198$	−9.94941	+	0.0961598i	−0.707074	+	0.00683378i
$199$	−11.3793	+	19.7096i	−0.806660	+	1.39718i	0.108505	+	0.994096i	$0.465394\pi$
$199$	−11.3793	+	19.7096i	−0.806660	+	1.39718i	−0.915165	+	0.403080i	$0.867940\pi$
$200$	−5.00367	+	2.22778i	−0.353813	+	0.157528i
$201$	0.211920	−	0.775034i	0.0149477	−	0.0546667i
$202$	3.00949	+	9.26224i	0.211747	+	0.651689i
$203$	12.4740	−	24.2336i	0.875501	−	1.70087i
$204$	0.0897307	+	0.585895i	0.00628240	+	0.0410208i
$205$	−7.28464	−	6.55912i	−0.508781	−	0.458109i
$206$	0.869455	+	0.965628i	0.0605778	+	0.0672785i
$207$	13.0273	−	22.0408i	0.905461	−	1.53194i
$208$	−0.707942	+	0.408730i	−0.0490869	+	0.0283403i
$209$	24.6368	+	4.72682i	1.70416	+	0.326961i
$210$	−7.29757	−	12.9138i	−0.503580	−	0.891138i
$211$	7.34557	−	10.1103i	0.505690	−	0.696022i	−0.477495	−	0.878634i	$-0.658455\pi$
$211$	7.34557	−	10.1103i	0.505690	−	0.696022i	0.983185	+	0.182612i	$0.0584552\pi$
$212$	−1.81921	−	8.55870i	−0.124944	−	0.587814i
$213$	12.9637	+	10.6079i	0.888257	+	0.726842i
$214$	0.128105	+	1.21884i	0.00875709	+	0.0833182i
$215$	10.0920	+	4.49326i	0.688271	+	0.306438i
$216$	−2.28777	−	4.66542i	−0.155663	−	0.317441i
$217$	−5.85846	−	2.27665i	−0.397698	−	0.154549i
$218$	4.39037	−	6.04282i	0.297353	−	0.409272i
$219$	0.385006	+	8.14205i	0.0260163	+	0.550189i
$220$	−5.55149	−	9.18859i	−0.374281	−	0.619495i
$221$	0.242265	+	0.139872i	0.0162965	+	0.00940880i
$222$	−15.0178	−	9.86212i	−1.00793	−	0.661902i
$223$	−0.0735523	+	0.226371i	−0.00492543	+	0.0151589i	−0.953489	−	0.301428i	$-0.902537\pi$
$223$	−0.0735523	+	0.226371i	−0.00492543	+	0.0151589i	0.948564	+	0.316587i	$0.102537\pi$
$224$	2.55841	−	0.674212i	0.170941	−	0.0450477i
$225$	−15.5747	−	5.23706i	−1.03831	−	0.349137i
$226$	1.32557	−	2.97729i	0.0881759	−	0.198046i
$227$	21.9051	+	4.65607i	1.45389	+	0.309034i	0.866056	−	0.499946i	$-0.166647\pi$
$227$	21.9051	+	4.65607i	1.45389	+	0.309034i	0.587835	+	0.808981i	$0.299980\pi$
$228$	3.32604	+	12.6716i	0.220272	+	0.839194i
$229$	0.370449	−	3.52459i	0.0244800	−	0.232911i	−0.975440	−	0.220265i	$-0.929308\pi$
$229$	0.370449	−	3.52459i	0.0244800	−	0.232911i	0.999920	−	0.0126463i	$-0.00402556\pi$
$230$	27.6242			1.82149
$231$	12.2002	−	9.06393i	0.802715	−	0.596363i
$232$	10.3017			0.676337
$233$	1.45423	−	13.8361i	0.0952699	−	0.906432i	−0.837616	−	0.546260i	$-0.816051\pi$
$233$	1.45423	−	13.8361i	0.0952699	−	0.906432i	0.932886	−	0.360173i	$-0.117282\pi$
$234$	−2.39346	−	0.534362i	−0.156465	−	0.0349324i
$235$	−0.681497	−	0.144857i	−0.0444560	−	0.00944941i
$236$	−3.28056	+	7.36826i	−0.213546	+	0.479633i
$237$	9.49592	−	1.45431i	0.616826	−	0.0944679i
$238$	−0.637568	−	0.642856i	−0.0413274	−	0.0416701i
$239$	−1.49677	+	4.60660i	−0.0968183	+	0.297976i	−0.987723	−	0.156214i	$-0.950071\pi$
$239$	−1.49677	+	4.60660i	−0.0968183	+	0.297976i	0.890905	+	0.454190i	$0.150071\pi$
$240$	3.07744	−	4.68625i	0.198648	−	0.302496i
$241$	−8.31817	−	4.80250i	−0.535820	−	0.309356i	0.207563	−	0.978222i	$-0.433447\pi$
$241$	−8.31817	−	4.80250i	−0.535820	−	0.309356i	−0.743383	+	0.668866i	$0.766780\pi$
$242$	8.63511	−	6.81431i	0.555086	−	0.438040i
$243$	4.41787	−	14.9493i	0.283406	−	0.959000i
$244$	5.13583	−	7.06887i	0.328788	−	0.452538i
$245$	20.6223	+	9.38645i	1.31751	+	0.599678i
$246$	5.17649	+	0.847008i	0.330041	+	0.0540032i
$247$	5.64851	+	2.51488i	0.359406	+	0.160018i
$248$	−0.248319	−	2.36260i	−0.0157683	−	0.150025i
$249$	−13.5008	+	16.4991i	−0.855581	+	1.04559i
$250$	−0.321146	−	1.51087i	−0.0203110	−	0.0955559i
$251$	−5.85460	+	8.05816i	−0.369539	+	0.508626i	−0.952775	−	0.303676i	$-0.901786\pi$
$251$	−5.85460	+	8.05816i	−0.369539	+	0.508626i	0.583237	+	0.812302i	$0.301786\pi$
$252$	7.01972	+	3.70453i	0.442201	+	0.233363i
$253$	3.51775	+	28.0856i	0.221159	+	1.76573i
$254$	0.133228	−	0.0769190i	0.00835944	−	0.00482633i
$255$	−1.91540	−	0.110197i	−0.119947	−	0.00690081i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	2.69050	+	2.42254i	0.167829	+	0.151114i	0.748766	−	0.662835i	$-0.230647\pi$
$257$	2.69050	+	2.42254i	0.167829	+	0.151114i	−0.580937	+	0.813949i	$0.697314\pi$
$258$	−5.84322	+	0.894898i	−0.363783	+	0.0557139i
$259$	27.4124	−	1.32314i	1.70332	−	0.0822159i
$260$	−0.817658	−	2.51649i	−0.0507090	−	0.156066i
$261$	22.7544	+	20.9131i	1.40846	+	1.29449i
$262$	−0.592087	+	0.263614i	−0.0365793	+	0.0162861i
$263$	12.4426	−	21.5512i	0.767243	−	1.32890i	−0.171810	−	0.985130i	$-0.554961\pi$
$263$	12.4426	−	21.5512i	0.767243	−	1.32890i	0.939053	−	0.343773i	$-0.111705\pi$
$264$	5.15641	+	2.53208i	0.317355	+	0.155839i
$265$	28.3221			1.73982
$266$	−15.5000	−	12.6579i	−0.950363	−	0.776108i
$267$	1.58244	−	1.56635i	0.0968436	−	0.0958591i
$268$	−0.310405	+	0.344739i	−0.0189610	+	0.0210583i
$269$	13.9906	−	1.47047i	0.853020	−	0.0896560i	0.332082	−	0.943251i	$-0.392249\pi$
$269$	13.9906	−	1.47047i	0.853020	−	0.0896560i	0.520938	+	0.853595i	$0.325582\pi$
$270$	16.3109	−	4.10362i	0.992648	−	0.249738i
$271$	−4.99922	−	4.50132i	−0.303681	−	0.273436i	0.503174	−	0.864185i	$-0.332166\pi$
$271$	−4.99922	−	4.50132i	−0.303681	−	0.273436i	−0.806855	+	0.590749i	$0.798832\pi$
$272$	0.105749	−	0.325462i	0.00641197	−	0.0197340i
$273$	3.43614	−	1.49199i	0.207965	−	0.0902991i
$274$		−	12.8086i		−	0.773794i
$275$	17.1617	−	5.95592i	1.03489	−	0.359155i
$276$	−12.4380	+	7.98732i	−0.748682	+	0.480780i
$277$	−8.89510	−	19.9787i	−0.534455	−	1.20040i	−0.955938	−	0.293569i	$-0.905157\pi$
$277$	−8.89510	−	19.9787i	−0.534455	−	1.20040i	0.421483	−	0.906836i	$-0.361510\pi$
$278$	−1.55981	−	7.33832i	−0.0935511	−	0.440123i
$279$	4.24774	−	5.72263i	0.254306	−	0.342605i
$280$	0.412881	+	8.55394i	0.0246744	+	0.511196i
$281$	−14.4157	+	10.4736i	−0.859966	+	0.624802i	−0.927876	−	0.372889i	$-0.878367\pi$
$281$	−14.4157	+	10.4736i	−0.859966	+	0.624802i	0.0679094	+	0.997691i	$0.478367\pi$
$282$	0.348734	−	0.131826i	0.0207668	−	0.00785015i
$283$	1.01500	−	0.913911i	0.0603355	−	0.0543264i	−0.638411	−	0.769695i	$-0.720408\pi$
$283$	1.01500	−	0.913911i	0.0603355	−	0.0543264i	0.698747	+	0.715369i	$0.253741\pi$
$284$	−3.93355	−	8.83490i	−0.233413	−	0.524255i
$285$	−42.3580	+	2.00294i	−2.50907	+	0.118644i
$286$	2.45440	−	1.15177i	0.145132	−	0.0681057i
$287$	−7.15404	+	3.60803i	−0.422289	+	0.212975i
$288$	−0.0306532	+	2.99984i	−0.00180626	+	0.176767i
$289$	16.5140	−	3.51015i	0.971409	−	0.206479i
$290$	−6.93280	+	32.6163i	−0.407108	+	1.91529i
$291$	−16.6281	−	6.48061i	−0.974759	−	0.379900i
$292$	1.91413	−	4.29921i	0.112016	−	0.251592i
$293$	−6.96394	−	21.4328i	−0.406838	−	1.25212i	−0.919351	−	0.393438i	$-0.871286\pi$
$293$	−6.96394	−	21.4328i	−0.406838	−	1.25212i	0.512514	−	0.858679i	$-0.328714\pi$
$294$	−11.9994	+	1.73642i	−0.699817	+	0.101270i
$295$	−21.1210	−	15.3453i	−1.22971	−	0.893439i
$296$	5.18649	+	8.98326i	0.301458	+	0.522141i
$297$	6.24923	+	16.0607i	0.362617	+	0.931938i
$298$	−8.49192	+	14.7084i	−0.491924	+	0.852037i
$299$	−0.729237	+	6.93823i	−0.0421729	+	0.401248i
$300$	6.67381	+	6.74236i	0.385313	+	0.389270i
$301$	6.41130	−	6.35857i	0.369541	−	0.366502i
$302$	4.74642	+	6.53288i	0.273126	+	0.375925i
$303$	13.1632	−	10.5484i	0.756204	−	0.605992i
$304$	1.57259	−	7.39846i	0.0901943	−	0.424331i
$305$	18.9246	+	21.0179i	1.08362	+	1.20348i
$306$	0.894288	−	0.504205i	0.0511230	−	0.0288235i
$307$			6.67932i			0.381209i	0.981667	+	0.190604i	$0.0610447\pi$
$307$			6.67932i			0.381209i	−0.981667	+	0.190604i	$0.938955\pi$
$308$	−8.64423	+	1.50906i	−0.492551	+	0.0859868i
$309$	1.03198	−	2.00005i	0.0587072	−	0.113779i
$310$	7.64738	+	0.803772i	0.434342	+	0.0456512i
$311$	−12.6082	+	11.3525i	−0.714947	+	0.643741i	−0.944104	−	0.329648i	$-0.893070\pi$
$311$	−12.6082	+	11.3525i	−0.714947	+	0.643741i	0.229157	+	0.973390i	$0.426403\pi$
$312$	1.09578	+	0.896654i	0.0620364	+	0.0507630i
$313$	7.31049	+	3.25484i	0.413213	+	0.183974i	0.602805	−	0.797889i	$-0.294050\pi$
$313$	7.31049	+	3.25484i	0.413213	+	0.183974i	−0.189592	+	0.981863i	$0.560716\pi$
$314$	−10.6242	+	7.71890i	−0.599556	+	0.435603i
$315$	−16.4531	+	19.7322i	−0.927027	+	1.11178i
$316$	−5.27494	−	1.71393i	−0.296738	−	0.0964161i
$317$	−29.0120	−	3.04928i	−1.62948	−	0.171265i	−0.754794	−	0.655962i	$-0.772263\pi$
$317$	−29.0120	−	3.04928i	−1.62948	−	0.171265i	−0.874682	+	0.484697i	$0.838930\pi$
$318$	−12.7523	+	8.18912i	−0.715113	+	0.459223i
$319$	−34.0439	−	2.89514i	−1.90609	−	0.162097i
$320$	−2.80319	+	1.61843i	−0.156703	+	0.0904727i
$321$	1.89626	−	0.954020i	0.105839	−	0.0532482i
$322$	8.17878	−	21.0463i	0.455786	−	1.17286i
$323$	−2.46171	+	0.799858i	−0.136973	+	0.0445053i
$324$	−6.15759	+	6.56385i	−0.342088	+	0.364658i
$325$	4.45287	−	0.468015i	0.247001	−	0.0259608i
$326$	15.9550	+	3.39133i	0.883663	+	0.187828i
$327$	−12.4792	−	3.41221i	−0.690100	−	0.188696i
$328$	−2.45002	−	1.78004i	−0.135280	−	0.0982865i
$329$	−0.312136	+	0.476330i	−0.0172086	+	0.0262609i
$330$	−11.4870	+	14.6218i	−0.632339	+	0.804902i
$331$	−11.4886	−	19.8989i	−0.631473	−	1.09374i	−0.987251	−	0.159172i	$-0.949117\pi$
$331$	−11.4886	−	19.8989i	−0.631473	−	1.09374i	0.355778	−	0.934570i	$-0.384216\pi$
$332$	11.2443	−	5.00629i	0.617112	−	0.274756i
$333$	−6.78066	+	30.3712i	−0.371578	+	1.66433i
$334$	1.58191	−	1.75689i	0.0865585	−	0.0961329i
$335$	−0.882589	−	1.21478i	−0.0482210	−	0.0663705i
$336$	−2.65921	−	3.73211i	−0.145072	−	0.203603i
$337$	6.04442	−	1.96395i	0.329261	−	0.106983i	−0.139722	−	0.990191i	$-0.544621\pi$
$337$	6.04442	−	1.96395i	0.329261	−	0.106983i	0.468982	+	0.883208i	$0.344621\pi$
$338$	−12.0623	+	2.56392i	−0.656102	+	0.139459i
$339$	−5.63552	−	0.324224i	−0.306079	−	0.0176094i
$340$	0.959283	+	0.553842i	0.0520244	+	0.0300363i
$341$	0.156644	+	7.87746i	0.00848276	+	0.426588i
$342$	18.4929	−	13.1493i	0.999983	−	0.711033i
$343$	13.2570	−	12.9326i	0.715812	−	0.698293i
$344$	3.24588	+	1.05465i	0.175006	+	0.0568629i
$345$	−16.9182	−	44.7556i	−0.910847	−	2.40956i
$346$	−0.695884	−	6.62090i	−0.0374110	−	0.355942i
$347$	0.566641	+	5.39123i	0.0304189	+	0.289416i	0.999147	+	0.0412922i	$0.0131474\pi$
$347$	0.566641	+	5.39123i	0.0304189	+	0.289416i	−0.968728	+	0.248124i	$0.920186\pi$
$348$	−6.30917	−	16.6903i	−0.338207	−	0.894696i
$349$	27.4319	+	8.91318i	1.46840	+	0.477112i	0.930624	−	0.365977i	$-0.119265\pi$
$349$	27.4319	+	8.91318i	1.46840	+	0.477112i	0.537775	+	0.843089i	$0.319265\pi$
$350$	−14.3034	−	2.32602i	−0.764550	−	0.124331i
$351$	0.600102	+	4.20505i	0.0320311	+	0.224449i
$352$	−2.00242	−	2.64392i	−0.106730	−	0.140921i
$353$	−3.83543	−	2.21439i	−0.204139	−	0.117860i	0.394445	−	0.918919i	$-0.370937\pi$
$353$	−3.83543	−	2.21439i	−0.204139	−	0.117860i	−0.598585	+	0.801059i	$0.704270\pi$
$354$	13.9469	+	0.802396i	0.741270	+	0.0426469i
$355$	30.6195	−	6.50838i	1.62512	−	0.345429i
$356$	−1.22259	+	0.397243i	−0.0647970	+	0.0210538i
$357$	−0.651055	+	1.42667i	−0.0344575	+	0.0755076i
$358$	−3.21209	−	4.42107i	−0.169764	−	0.233661i
$359$	−14.7681	+	16.4016i	−0.779429	+	0.865644i	−0.993808	−	0.111107i	$-0.964560\pi$
$359$	−14.7681	+	16.4016i	−0.779429	+	0.865644i	0.214379	+	0.976751i	$0.431227\pi$
$360$	−9.47723	−	2.11588i	−0.499494	−	0.111517i
$361$	−34.9068	+	15.5415i	−1.83720	+	0.817975i
$362$	−1.01438	−	1.75696i	−0.0533148	−	0.0923440i
$363$	−16.3288	−	9.81688i	−0.857038	−	0.515253i
$364$	−2.15935	−	0.122110i	−0.113181	−	0.00640029i
$365$	12.3236	+	8.95363i	0.645048	+	0.468655i
$366$	−14.5981	−	3.99159i	−0.763055	−	0.208644i
$367$	−35.2575	−	7.49421i	−1.84043	−	0.391194i	−0.849722	−	0.527232i	$-0.823230\pi$
$367$	−35.2575	−	7.49421i	−1.84043	−	0.391194i	−0.990704	+	0.136037i	$0.956563\pi$
$368$	8.48754	−	0.892076i	0.442443	−	0.0465027i
$369$	−1.79801	−	8.90548i	−0.0936009	−	0.463601i
$370$	−31.9324	+	10.3755i	−1.66009	+	0.539395i
$371$	8.38542	−	21.5780i	0.435349	−	1.12028i
$372$	−3.67570	+	1.84927i	−0.190576	+	0.0958802i
$373$	−3.89735	+	2.25014i	−0.201797	+	0.116508i	−0.597494	−	0.801874i	$-0.703837\pi$
$373$	−3.89735	+	2.25014i	−0.201797	+	0.116508i	0.395696	+	0.918381i	$0.370503\pi$
$374$	−0.440934	+	1.04583i	−0.0228002	+	0.0540787i
$375$	−2.25117	+	1.44563i	−0.116250	+	0.0746520i
$376$	−0.214068	−	0.0224994i	−0.0110397	−	0.00116032i
$377$	−8.00904	−	2.60229i	−0.412487	−	0.134025i
$378$	1.70275	−	13.6419i	0.0875802	−	0.701662i
$379$	3.49289	−	2.53773i	0.179418	−	0.130355i	−0.494452	−	0.869205i	$-0.664631\pi$
$379$	3.49289	−	2.53773i	0.179418	−	0.130355i	0.673869	+	0.738851i	$0.264631\pi$
$380$	22.3661	+	9.95802i	1.14736	+	0.510836i
$381$	−0.206215	−	0.168741i	−0.0105647	−	0.00864488i
$382$	11.1358	−	10.0267i	0.569757	−	0.513011i
$383$	−14.4110	−	1.51465i	−0.736366	−	0.0773952i	−0.271081	−	0.962556i	$-0.587381\pi$
$383$	−14.4110	−	1.51465i	−0.736366	−	0.0773952i	−0.465284	+	0.885161i	$0.654048\pi$
$384$	0.794209	−	1.53923i	0.0405293	−	0.0785486i
$385$	1.03952	−	28.3842i	0.0529787	−	1.44659i
$386$		−	4.96873i		−	0.252902i
$387$	5.02851	+	8.91887i	0.255614	+	0.453372i
$388$	6.89447	+	7.65708i	0.350013	+	0.388729i
$389$	−3.19123	+	15.0135i	−0.161802	+	0.761217i	0.820160	+	0.572135i	$0.193885\pi$
$389$	−3.19123	+	15.0135i	−0.161802	+	0.761217i	−0.981961	+	0.189082i	$0.939449\pi$
$390$	−3.57635	+	2.86594i	−0.181096	+	0.145123i
$391$	−1.71664	−	2.36275i	−0.0868143	−	0.119490i
$392$	6.63930	+	2.21803i	0.335336	+	0.112027i
$393$	0.789716	+	0.797826i	0.0398359	+	0.0402450i
$394$	−0.803873	+	7.64834i	−0.0404986	+	0.385318i
$395$	8.97643	−	15.5476i	0.451653	−	0.782286i
$396$	0.944363	−	9.90496i	0.0474560	−	0.497743i
$397$	−0.394784	−	0.683786i	−0.0198136	−	0.0343182i	0.855949	−	0.517061i	$-0.172974\pi$
$397$	−0.394784	−	0.683786i	−0.0198136	−	0.0343182i	−0.875762	+	0.482743i	$0.839641\pi$
$398$	−18.4122	−	13.3772i	−0.922918	−	0.670539i
$399$	−11.0151	+	32.8646i	−0.551443	+	1.64529i
$400$	−1.69255	−	5.20913i	−0.0846274	−	0.260456i
$401$	−3.31210	+	7.43910i	−0.165398	+	0.371491i	−0.977162	−	0.212495i	$-0.931841\pi$
$401$	−3.31210	+	7.43910i	−0.165398	+	0.371491i	0.811764	+	0.583986i	$0.198508\pi$
$402$	0.748637	+	0.291772i	0.0373386	+	0.0145523i
$403$	−0.403758	+	1.89953i	−0.0201126	+	0.0946224i
$404$	−9.52608	+	2.02483i	−0.473940	+	0.100739i
$405$	−16.6380	−	23.9130i	−0.826748	−	1.18825i
$406$	22.7970	+	14.9387i	1.13140	+	0.741398i
$407$	−14.6151	−	31.1445i	−0.724446	−	1.54378i
$408$	−0.592065	+	0.0279964i	−0.0293116	+	0.00138603i
$409$	5.82193	+	13.0763i	0.287876	+	0.646580i	0.998367	−	0.0571263i	$-0.0181938\pi$
$409$	5.82193	+	13.0763i	0.287876	+	0.646580i	−0.710491	+	0.703706i	$0.751527\pi$
$410$	7.28464	−	6.55912i	0.359763	−	0.323932i
$411$	−20.7519	+	7.84451i	−1.02362	+	0.386941i
$412$	−1.05122	+	0.763757i	−0.0517899	+	0.0376276i
$413$	−17.9446	+	11.5483i	−0.882998	+	0.568255i
$414$	20.5583	+	15.2598i	1.01039	+	0.749980i
$415$	8.28332	+	38.9699i	0.406612	+	1.91296i
$416$	−0.332491	−	0.746787i	−0.0163017	−	0.0366143i
$417$	−10.9339	+	7.02143i	−0.535438	+	0.343841i
$418$	−7.27617	+	24.0077i	−0.355889	+	1.17426i
$419$			21.5296i			1.05179i	0.850549	+	0.525895i	$0.176270\pi$
$419$			21.5296i			1.05179i	−0.850549	+	0.525895i	$0.823730\pi$
$420$	13.6059	−	5.90773i	0.663899	−	0.288268i
$421$	−5.39636	+	16.6083i	−0.263002	+	0.809438i	0.729144	+	0.684360i	$0.239918\pi$
$421$	−5.39636	+	16.6083i	−0.263002	+	0.809438i	−0.992147	+	0.125078i	$0.960082\pi$
$422$	9.28710	+	8.36215i	0.452089	+	0.407063i
$423$	−0.427159	−	0.484269i	−0.0207692	−	0.0235460i
$424$	8.70198	−	0.914615i	0.422605	−	0.0444176i
$425$	−1.25419	+	1.39292i	−0.0608371	+	0.0675664i
$426$	−11.9049	+	11.7838i	−0.576793	+	0.570929i
$427$	21.6161	−	8.19539i	1.04608	−	0.396603i
$428$	−1.22555			−0.0592394
$429$	−3.36923	−	3.27112i	−0.162668	−	0.157931i
$430$	−5.52355	+	9.56708i	−0.266369	+	0.461365i
$431$	−13.1022	+	5.83348i	−0.631111	+	0.280989i	−0.697257	−	0.716821i	$-0.745596\pi$
$431$	−13.1022	+	5.83348i	−0.631111	+	0.280989i	0.0661459	+	0.997810i	$0.478930\pi$
$432$	4.87900	−	1.78757i	0.234741	−	0.0860044i
$433$	−6.81335	−	20.9693i	−0.327429	−	1.00772i	−0.970332	−	0.241775i	$-0.922271\pi$
$433$	−6.81335	−	20.9693i	−0.327429	−	1.00772i	0.642904	−	0.765947i	$-0.277729\pi$
$434$	2.87656	−	5.58839i	0.138079	−	0.268251i
$435$	57.0895	−	8.74334i	2.73723	−	0.419211i
$436$	5.55080	+	4.99796i	0.265835	+	0.239359i
$437$	−43.1932	−	47.9709i	−2.06621	−	2.29476i
$438$	−8.13769	−	0.468179i	−0.388834	−	0.0223705i
$439$	19.4661	−	11.2388i	0.929066	−	0.536397i	0.0425501	−	0.999094i	$-0.486452\pi$
$439$	19.4661	−	11.2388i	0.929066	−	0.536397i	0.886516	+	0.462698i	$0.153118\pi$
$440$	9.71854	−	4.56061i	0.463313	−	0.217418i
$441$	10.1622	+	18.3774i	0.483914	+	0.875115i
$442$	−0.164429	+	0.226317i	−0.00782110	+	0.0107648i
$443$	2.42894	+	11.4273i	0.115402	+	0.542926i	0.997425	+	0.0717186i	$0.0228483\pi$
$443$	2.42894	+	11.4273i	0.115402	+	0.542926i	−0.882022	+	0.471207i	$0.843818\pi$
$444$	11.3779	−	13.9047i	0.539970	−	0.659886i
$445$	−0.434941	−	4.13819i	−0.0206182	−	0.196169i
$446$	−0.217442	−	0.0968116i	−0.0102962	−	0.00458416i
$447$	29.0308	+	4.75019i	1.37311	+	0.224676i
$448$	0.403092	+	2.61486i	0.0190443	+	0.123541i
$449$	7.47486	−	10.2883i	0.352760	−	0.485533i	−0.595354	−	0.803464i	$-0.702988\pi$
$449$	7.47486	−	10.2883i	0.352760	−	0.485533i	0.948114	+	0.317931i	$0.102988\pi$
$450$	6.83636	−	14.9419i	0.322269	−	0.704370i
$451$	7.59632	+	6.57105i	0.357697	+	0.309419i
$452$	2.82242	+	1.62952i	0.132755	+	0.0766464i
$453$	7.67740	−	11.6910i	0.360716	−	0.549289i
$454$	−6.92027	+	21.2984i	−0.324784	+	0.999583i
$455$	1.83981	−	6.75457i	0.0862516	−	0.316659i
$456$	−12.9498	+	1.98328i	−0.606430	+	0.0928757i
$457$	−10.4007	+	23.3603i	−0.486522	+	1.09275i	0.488887	+	0.872347i	$0.337403\pi$
$457$	−10.4007	+	23.3603i	−0.486522	+	1.09275i	−0.975410	+	0.220400i	$0.929264\pi$
$458$	3.46656	+	0.736840i	0.161982	+	0.0344303i
$459$	−1.36459	−	1.14009i	−0.0636937	−	0.0532149i
$460$	−2.88752	+	27.4729i	−0.134631	+	1.28093i
$461$	12.2540			0.570726			0.285363	−	0.958420i	$-0.407886\pi$
$461$	12.2540			0.570726			0.285363	+	0.958420i	$0.407886\pi$
$462$	7.73901	+	13.0808i	0.360051	+	0.608575i
$463$	25.8337			1.20059			0.600296	−	0.799778i	$-0.295050\pi$
$463$	25.8337			1.20059			0.600296	+	0.799778i	$0.295050\pi$
$464$	−1.07682	+	10.2452i	−0.0499900	+	0.475623i
$465$	−3.38134	−	12.8822i	−0.156806	−	0.597399i
$466$	13.6083	+	2.89253i	0.630392	+	0.133994i
$467$	3.59486	−	8.07418i	0.166350	−	0.373629i	−0.811065	−	0.584956i	$-0.801112\pi$
$467$	3.59486	−	8.07418i	0.166350	−	0.373629i	0.977415	+	0.211327i	$0.0677785\pi$
$468$	0.781619	−	2.32449i	0.0361304	−	0.107450i
$469$	−1.18682	+	0.312762i	−0.0548025	+	0.0144420i
$470$	0.215299	−	0.662622i	0.00993101	−	0.0305645i
$471$	19.0125	+	12.4854i	0.876051	+	0.575299i
$472$	−6.98498	−	4.03278i	−0.321510	−	0.185624i
$473$	−10.4303	−	4.39751i	−0.479583	−	0.202198i
$474$	0.453754	+	9.59592i	0.0208416	+	0.440755i
$475$	−24.3509	+	33.5161i	−1.11729	+	1.53782i
$476$	0.705978	−	0.566879i	0.0323585	−	0.0259829i
$477$	21.0777	+	15.6454i	0.965082	+	0.716353i
$478$	−4.42491	−	1.97009i	−0.202390	−	0.0901100i
$479$	−2.29702	−	21.8547i	−0.104954	−	0.998568i	−0.912587	−	0.408883i	$-0.865919\pi$
$479$	−2.29702	−	21.8547i	−0.104954	−	0.998568i	0.807633	−	0.589685i	$-0.200748\pi$
$480$	4.33890	+	3.55043i	0.198043	+	0.162054i
$481$	−1.76299	−	8.29420i	−0.0803852	−	0.378183i
$482$	5.64567	−	7.77060i	0.257153	−	0.353941i
$483$	−39.1074	−	0.361297i	−1.77945	−	0.0164396i
$484$	5.87436	+	9.30010i	0.267017	+	0.422732i
$485$	−28.8830	+	16.6756i	−1.31151	+	0.757202i
$486$	14.4056	+	5.95630i	0.653453	+	0.270183i
$487$	5.51469	+	6.12469i	0.249895	+	0.277536i	0.855021	−	0.518593i	$-0.173544\pi$
$487$	5.51469	+	6.12469i	0.249895	+	0.277536i	−0.605126	+	0.796129i	$0.706877\pi$
$488$	6.49331	+	5.84660i	0.293938	+	0.264663i
$489$	−4.27699	−	27.9265i	−0.193412	−	1.26288i
$490$	−11.4906	+	19.5281i	−0.519094	+	0.882191i
$491$	7.75098	+	23.8551i	0.349797	+	1.07656i	0.958965	+	0.283523i	$0.0915032\pi$
$491$	7.75098	+	23.8551i	0.349797	+	1.07656i	−0.609169	+	0.793041i	$0.708497\pi$
$492$	−1.38346	+	5.05960i	−0.0623711	+	0.228104i
$493$	3.22056	−	1.43388i	0.145047	−	0.0645789i
$494$	−3.09153	+	5.35469i	−0.139095	+	0.240919i
$495$	30.7247	+	9.65579i	1.38097	+	0.433996i
$496$	2.37561			0.106668
$497$	4.10702	−	25.2553i	0.184225	−	1.13285i
$498$	−14.9975	−	15.1515i	−0.672053	−	0.678955i
$499$	0.288641	−	0.320569i	0.0129214	−	0.0143506i	−0.736650	−	0.676275i	$-0.763593\pi$
$499$	0.288641	−	0.320569i	0.0129214	−	0.0143506i	0.749571	+	0.661924i	$0.230260\pi$
$500$	1.53616	−	0.161457i	0.0686994	−	0.00722059i
$501$	−3.81528	−	1.48696i	−0.170454	−	0.0664323i
$502$	−7.40204	−	6.66483i	−0.330369	−	0.297466i
$503$	1.19724	−	3.68472i	0.0533822	−	0.164294i	−0.920811	−	0.390009i	$-0.872472\pi$
$503$	1.19724	−	3.68472i	0.0533822	−	0.164294i	0.974193	+	0.225715i	$0.0724719\pi$
$504$	−4.41800	+	6.59404i	−0.196793	+	0.293722i
$505$		−	31.5234i		−	1.40277i
$506$	−28.2994	+	0.562738i	−1.25806	+	0.0250167i
$507$	11.5414	+	17.9726i	0.512572	+	0.798189i
$508$	0.0625715	+	0.140538i	0.00277616	+	0.00623536i
$509$	4.37054	+	20.5618i	0.193721	+	0.911385i	0.962376	+	0.271722i	$0.0875930\pi$
$509$	4.37054	+	20.5618i	0.193721	+	0.911385i	−0.768655	+	0.639664i	$0.779074\pi$
$510$	0.309807	−	1.89339i	0.0137185	−	0.0838406i
$511$	10.4703	−	6.73817i	0.463177	−	0.298079i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−32.6298	−	21.9083i	−1.44064	−	0.967274i
$514$	−2.69050	+	2.42254i	−0.118673	+	0.106854i
$515$	−1.71069	−	3.84228i	−0.0753822	−	0.169311i
$516$	−0.279213	−	5.90475i	−0.0122917	−	0.259942i
$517$	0.701106	+	0.134515i	0.0308346	+	0.00591595i
$518$	−1.54948	+	27.4005i	−0.0680804	+	1.20391i
$519$	−10.3007	+	5.18236i	−0.452151	+	0.227480i
$520$	2.58818	−	0.550134i	0.113499	−	0.0241250i
$521$	2.37851	−	11.1900i	0.104204	−	0.490243i	−0.894834	−	0.446399i	$-0.852706\pi$
$521$	2.37851	−	11.1900i	0.104204	−	0.490243i	0.999038	−	0.0438437i	$-0.0139604\pi$
$522$	−23.1770	+	20.4437i	−1.01443	+	0.894797i
$523$	1.86989	−	4.19985i	0.0817647	−	0.183647i	−0.868037	−	0.496500i	$-0.834618\pi$
$523$	1.86989	−	4.19985i	0.0817647	−	0.183647i	0.949801	+	0.312854i	$0.101285\pi$
$524$	−0.200280	−	0.616399i	−0.00874927	−	0.0269275i
$525$	4.99149	+	24.5984i	0.217846	+	1.07356i
$526$	20.1325	+	14.6271i	0.877820	+	0.637774i
$527$	−0.406480	−	0.704044i	−0.0177065	−	0.0306686i
$528$	−3.05720	+	4.86349i	−0.133047	+	0.211656i
$529$	24.9170	−	43.1576i	1.08335	−	1.87642i
$530$	−2.96047	+	28.1670i	−0.128595	+	1.22350i
$531$	−7.24166	−	23.0876i	−0.314261	−	1.00192i
$532$	14.2088	−	14.0919i	0.616029	−	0.610962i
$533$	1.45512	+	2.00280i	0.0630281	+	0.0867507i
$534$	1.39236	+	1.73750i	0.0602533	+	0.0751888i
$535$	0.824772	−	3.88025i	0.0356580	−	0.167758i
$536$	−0.310405	−	0.344739i	−0.0134074	−	0.0148905i
$537$	−5.19561	+	7.91175i	−0.224207	+	0.341417i
$538$			14.0676i			0.606498i
$539$	−21.3175	−	9.19579i	−0.918211	−	0.396091i
$540$	2.37619	+	16.6505i	0.102255	+	0.716522i
$541$	0.757254	+	0.0795906i	0.0325569	+	0.00342187i	0.120793	−	0.992678i	$-0.461456\pi$
$541$	0.757254	+	0.0795906i	0.0325569	+	0.00342187i	−0.0882360	+	0.996100i	$0.528123\pi$
$542$	4.99922	−	4.50132i	0.214735	−	0.193348i
$543$	−2.22531	+	2.71950i	−0.0954972	+	0.116705i
$544$	0.312625	+	0.139190i	0.0134037	+	0.00596770i
$545$	−19.5597	+	14.2110i	−0.837846	+	0.608731i
$546$	1.12464	+	3.57327i	0.0481301	+	0.152922i
$547$	−40.7525	−	13.2413i	−1.74245	−	0.566156i	−0.747297	−	0.664490i	$-0.768649\pi$
$547$	−40.7525	−	13.2413i	−1.74245	−	0.566156i	−0.995153	+	0.0983338i	$0.968649\pi$
$548$	12.7384	+	1.33886i	0.544158	+	0.0571933i
$549$	2.47347	+	26.0959i	0.105565	+	1.11374i
$550$	4.12941	+	17.6903i	0.176078	+	0.754315i
$551$	67.4800	−	38.9596i	2.87474	−	1.65973i
$552$	−6.64343	−	13.2048i	−0.282763	−	0.562034i
$553$	−9.18772	−	11.4422i	−0.390701	−	0.486571i
$554$	20.7991	−	6.75803i	0.883668	−	0.287121i
$555$	36.3667	+	45.3812i	1.54368	+	1.92633i
$556$	7.46116	−	0.784200i	0.316424	−	0.0332575i
$557$	4.21671	+	0.896290i	0.178668	+	0.0379770i	0.296377	−	0.955071i	$-0.404222\pi$
$557$	4.21671	+	0.896290i	0.178668	+	0.0379770i	−0.117709	+	0.993048i	$0.537555\pi$
$558$	5.24727	+	4.82265i	0.222135	+	0.204159i
$559$	−2.25710	−	1.63988i	−0.0954651	−	0.0693594i
$560$	−8.55024	−	0.483511i	−0.361314	−	0.0204321i
$561$	1.96446	+	0.0738717i	0.0829396	+	0.00311887i
$562$	−8.90937	−	15.4315i	−0.375819	−	0.650938i
$563$	−11.2129	+	4.99229i	−0.472566	+	0.210400i	−0.629179	−	0.777260i	$-0.716609\pi$
$563$	−11.2129	+	4.99229i	−0.472566	+	0.210400i	0.156614	+	0.987660i	$0.449942\pi$
$564$	0.0946515	+	0.360604i	0.00398555	+	0.0151842i
$565$	−7.05869	+	7.83947i	−0.296962	+	0.329809i
$566$	0.802808	+	1.10497i	0.0337445	+	0.0464454i
$567$	−23.1448	+	5.59613i	−0.971992	+	0.235015i
$568$	9.19767	−	2.98850i	0.385926	−	0.125395i
$569$	7.30842	−	1.55345i	0.306385	−	0.0651242i	−0.0521535	−	0.998639i	$-0.516608\pi$
$569$	7.30842	−	1.55345i	0.306385	−	0.0651242i	0.358539	+	0.933515i	$0.383275\pi$
$570$	2.43564	−	42.3353i	0.102018	−	1.77323i
$571$	−18.2357	−	10.5284i	−0.763139	−	0.440599i	0.0672823	−	0.997734i	$-0.478567\pi$
$571$	−18.2357	−	10.5284i	−0.763139	−	0.440599i	−0.830422	+	0.557135i	$0.811901\pi$
$572$	0.888908	+	2.56135i	0.0371671	+	0.107095i
$573$	−23.0649	−	11.9010i	−0.963550	−	0.497170i
$574$	−2.84046	−	7.49199i	−0.118559	−	0.312709i
$575$	−44.4562	−	14.4447i	−1.85395	−	0.602385i
$576$	−2.98021	−	0.344054i	−0.124175	−	0.0143356i
$577$	−1.45448	−	13.8385i	−0.0605508	−	0.576103i	−0.982168	−	0.188003i	$-0.939798\pi$
$577$	−1.45448	−	13.8385i	−0.0605508	−	0.576103i	0.921618	−	0.388099i	$-0.126868\pi$
$578$	1.76474	+	16.7904i	0.0734036	+	0.698389i
$579$	−8.05014	+	3.04306i	−0.334552	+	0.126465i
$580$	−31.7129	−	10.3042i	−1.31681	−	0.427857i
$581$	32.1428	+	5.22707i	1.33351	+	0.216855i
$582$	8.18322	−	15.8596i	0.339206	−	0.657404i
$583$	−29.0144	+	0.576956i	−1.20166	+	0.0238951i
$584$	4.07557	+	2.35303i	0.168648	+	0.0973692i
$585$	6.83359	+	4.03903i	0.282534	+	0.166993i
$586$	22.0433	−	4.68545i	0.910601	−	0.193554i
$587$	−23.1830	+	7.53261i	−0.956865	+	0.310904i	−0.745502	−	0.666503i	$-0.767790\pi$
$587$	−23.1830	+	7.53261i	−0.956865	+	0.310904i	−0.211363	+	0.977408i	$0.567790\pi$
$588$	−0.472635	−	12.1151i	−0.0194912	−	0.499620i
$589$	−10.5616	−	14.5368i	−0.435185	−	0.598980i
$590$	17.4690	−	19.4013i	0.719188	−	0.798739i
$591$	12.8839	−	3.38177i	0.529971	−	0.139107i
$592$	−9.47618	+	4.21907i	−0.389469	+	0.173403i
$593$	−5.79259	−	10.0331i	−0.237873	−	0.412009i	0.722231	−	0.691652i	$-0.243117\pi$
$593$	−5.79259	−	10.0331i	−0.237873	−	0.412009i	−0.960104	+	0.279644i	$0.909784\pi$
$594$	−16.6260	+	4.53619i	−0.682172	+	0.186122i
$595$	1.31970	+	2.61671i	0.0541023	+	0.107275i
$596$	−13.7402	−	9.98285i	−0.562821	−	0.408913i
$597$	−10.3968	+	38.0234i	−0.425514	+	1.55619i
$598$	−6.82399	−	1.45048i	−0.279054	−	0.0593147i
$599$	30.4057	−	3.19577i	1.24234	−	0.130576i	0.539541	−	0.841959i	$-0.318598\pi$
$599$	30.4057	−	3.19577i	1.24234	−	0.130576i	0.702804	+	0.711384i	$0.251931\pi$
$600$	−7.40303	+	5.93249i	−0.302227	+	0.242193i
$601$	1.56485	−	0.508449i	0.0638314	−	0.0207401i	−0.276927	−	0.960891i	$-0.589316\pi$
$601$	1.56485	−	0.508449i	0.0638314	−	0.0207401i	0.340759	+	0.940151i	$0.389316\pi$
$602$	5.65357	+	7.04083i	0.230422	+	0.286963i
$603$	0.0142198	−	1.39160i	0.000579075	−	0.0566705i
$604$	−6.99323	+	4.03754i	−0.284550	+	0.164285i
$605$	−33.3985	+	12.3402i	−1.35784	+	0.501699i
$606$	9.11472	+	14.1937i	0.370260	+	0.576578i
$607$	−43.5859	−	4.58107i	−1.76910	−	0.185940i	−0.836771	−	0.547553i	$-0.815559\pi$
$607$	−43.5859	−	4.58107i	−1.76910	−	0.185940i	−0.932328	+	0.361613i	$0.882226\pi$
$608$	7.19355	+	2.33733i	0.291737	+	0.0947911i
$609$	10.2413	−	46.0839i	0.414998	−	1.86741i
$610$	−22.8809	+	16.6239i	−0.926420	+	0.673083i
$611$	0.160744	+	0.0715677i	0.00650300	+	0.00289532i
$612$	0.407964	+	0.942093i	0.0164910	+	0.0380818i
$613$	12.1678	−	10.9560i	0.491455	−	0.442508i	−0.385765	−	0.922597i	$-0.626062\pi$
$613$	12.1678	−	10.9560i	0.491455	−	0.442508i	0.877220	+	0.480089i	$0.159396\pi$
$614$	−6.64273	−	0.698179i	−0.268079	−	0.0281762i
$615$	−15.0882	−	7.78519i	−0.608416	−	0.313929i
$616$	−0.597227	−	8.75462i	−0.0240630	−	0.352734i
$617$			25.0813i			1.00974i	0.863197	+	0.504868i	$0.168459\pi$
$617$			25.0813i			1.00974i	−0.863197	+	0.504868i	$0.831541\pi$
$618$	1.88122	+	1.23539i	0.0756737	+	0.0496946i
$619$	8.91178	+	9.89753i	0.358195	+	0.397815i	0.895128	−	0.445809i	$-0.147084\pi$
$619$	8.91178	+	9.89753i	0.358195	+	0.397815i	−0.536933	+	0.843625i	$0.680417\pi$
$620$	−1.59874	+	7.52147i	−0.0642068	+	0.302069i
$621$	12.1326	−	42.6535i	0.486864	−	1.71163i
$622$	−9.97239	−	13.7258i	−0.399856	−	0.550355i
$623$	−3.28157	−	0.893834i	−0.131473	−	0.0358107i
$624$	−1.00628	+	0.996053i	−0.0402835	+	0.0398740i
$625$	2.34000	−	22.2636i	0.0936001	−	0.890546i
$626$	−4.00116	+	6.93022i	−0.159919	+	0.276987i
$627$	43.3526	−	2.91479i	1.73133	−	0.116405i
$628$	−6.56609	−	11.3728i	−0.262016	−	0.453824i
$629$	2.87180	+	2.08649i	0.114506	+	0.0831936i
$630$	−17.9043	−	18.4255i	−0.713323	−	0.734091i
$631$	9.77730	+	30.0914i	0.389228	+	1.19792i	0.933366	+	0.358926i	$0.116857\pi$
$631$	9.77730	+	30.0914i	0.389228	+	1.19792i	−0.544138	+	0.838996i	$0.683143\pi$
$632$	2.25592	−	5.06688i	0.0897358	−	0.201550i
$633$	7.86019	−	20.1679i	0.312414	−	0.801603i
$634$	6.06516	−	28.5343i	0.240878	−	1.13324i
$635$	−0.487069	+	0.103530i	−0.0193287	+	0.00410845i
$636$	−6.81128	−	13.5384i	−0.270085	−	0.536834i
$637$	−4.60144	−	3.40156i	−0.182316	−	0.134775i
$638$	6.43783	−	33.5547i	0.254876	−	1.32845i
$639$	26.3827	+	12.0709i	1.04368	+	0.477516i
$640$	−1.31655	−	2.95701i	−0.0520410	−	0.116886i
$641$	23.8592	−	21.4829i	0.942382	−	0.848525i	−0.0462420	−	0.998930i	$-0.514725\pi$
$641$	23.8592	−	21.4829i	0.942382	−	0.848525i	0.988624	+	0.150405i	$0.0480579\pi$
$642$	0.750581	+	1.98559i	0.0296231	+	0.0783650i
$643$	−23.4448	+	17.0336i	−0.924573	+	0.671741i	−0.944658	−	0.328057i	$-0.893606\pi$
$643$	−23.4448	+	17.0336i	−0.924573	+	0.671741i	0.0200853	+	0.999798i	$0.493606\pi$
$644$	20.0761	+	10.3339i	0.791108	+	0.407213i
$645$	18.8830	+	3.08975i	0.743519	+	0.121659i
$646$	−0.538158	−	2.53183i	−0.0211735	−	0.0996136i
$647$	3.26029	+	7.32273i	0.128175	+	0.287886i	0.966222	−	0.257713i	$-0.0829688\pi$
$647$	3.26029	+	7.32273i	0.128175	+	0.287886i	−0.838046	+	0.545599i	$0.816302\pi$
$648$	−5.88425	−	6.80997i	−0.231155	−	0.267521i
$649$	21.9499	+	15.2902i	0.861609	+	0.600191i
$650$			4.47740i			0.175618i
$651$	−10.8158	−	1.23791i	−0.423905	−	0.0485176i
$652$	−5.04050	+	15.5131i	−0.197401	+	0.607538i
$653$	−12.1276	−	10.9198i	−0.474591	−	0.427324i	0.396806	−	0.917903i	$-0.370119\pi$
$653$	−12.1276	−	10.9198i	−0.474591	−	0.427324i	−0.871397	+	0.490579i	$0.836785\pi$
$654$	4.69795	−	12.0541i	0.183704	−	0.471354i
$655$	2.08637	−	0.219287i	0.0815214	−	0.00856824i
$656$	2.02639	−	2.25053i	0.0791172	−	0.0878686i
$657$	4.22534	+	13.4711i	0.164846	+	0.525557i
$658$	−0.441093	−	0.360216i	−0.0171956	−	0.0140427i
$659$	14.0817			0.548544			0.274272	−	0.961652i	$-0.411563\pi$
$659$	14.0817			0.548544			0.274272	+	0.961652i	$0.411563\pi$
$660$	−13.3410	−	12.9525i	−0.519296	−	0.504174i
$661$	−0.268553	+	0.465147i	−0.0104455	+	0.0180921i	−0.871201	−	0.490927i	$-0.836658\pi$
$661$	−0.268553	+	0.465147i	−0.0104455	+	0.0180921i	0.860755	+	0.509019i	$0.169992\pi$
$662$	20.9908	−	9.34570i	0.815830	−	0.363231i
$663$	0.467373	+	0.127795i	0.0181513	+	0.00496315i
$664$	3.80351	+	11.7060i	0.147605	+	0.454281i
$665$	35.0545	+	54.4703i	1.35935	+	2.11227i
$666$	−29.4960	−	9.91817i	−1.14295	−	0.384321i
$667$	65.3353	+	58.8282i	2.52979	+	2.27784i
$668$	1.58191	+	1.75689i	0.0612061	+	0.0679762i
$669$	−0.0236793	+	0.411583i	−0.000915493	+	0.0159127i
$670$	1.30038	−	0.750775i	0.0502381	−	0.0290050i
$671$	−19.8153	−	21.1461i	−0.764961	−	0.816336i
$672$	3.98962	−	2.25453i	0.153903	−	0.0869703i
$673$	14.8099	−	20.3840i	0.570879	−	0.785747i	−0.421780	−	0.906698i	$-0.638594\pi$
$673$	14.8099	−	20.3840i	0.570879	−	0.785747i	0.992658	+	0.120951i	$0.0385944\pi$
$674$	1.32138	+	6.21660i	0.0508976	+	0.239454i
$675$	−28.3952	−	1.92492i	−1.09293	−	0.0740902i
$676$	−1.28902	−	12.2642i	−0.0495777	−	0.471700i
$677$	18.0474	+	8.03523i	0.693619	+	0.308819i	0.723097	−	0.690746i	$-0.242718\pi$
$677$	18.0474	+	8.03523i	0.693619	+	0.308819i	−0.0294781	+	0.999565i	$0.509385\pi$
$678$	0.911520	−	5.57076i	0.0350067	−	0.213944i
$679$	4.15331	+	26.9426i	0.159389	+	1.03396i
$680$	−0.651081	+	0.896136i	−0.0249678	+	0.0343652i
$681$	38.7451	−	1.83210i	1.48471	−	0.0702063i
$682$	−7.85068	−	0.667632i	−0.300618	−	0.0255650i
$683$	6.65609	+	3.84290i	0.254688	+	0.147044i	0.621909	−	0.783089i	$-0.286357\pi$
$683$	6.65609	+	3.84290i	0.254688	+	0.147044i	−0.367221	+	0.930134i	$0.619691\pi$
$684$	11.1442	+	19.7661i	0.426111	+	0.755776i
$685$	−12.8117	+	39.4303i	−0.489509	+	1.50655i
$686$	11.4760	+	14.5362i	0.438155	+	0.554996i
$687$	−0.929269	−	6.06765i	−0.0354538	−	0.231495i
$688$	−1.38816	+	3.11786i	−0.0529231	+	0.118867i
$689$	−6.99640	−	1.48713i	−0.266542	−	0.0566552i
$690$	46.2789	−	12.1473i	1.76181	−	0.462441i
$691$	−2.49902	+	23.7765i	−0.0950670	+	0.904502i	0.838211	+	0.545347i	$0.183602\pi$
$691$	−2.49902	+	23.7765i	−0.0950670	+	0.904502i	−0.933278	+	0.359156i	$0.883065\pi$
$692$	6.65736			0.253075
$693$	16.4533	−	20.5497i	0.625009	−	0.780617i
$694$	−5.42093			−0.205776
$695$	−2.53834	+	24.1507i	−0.0962846	+	0.916087i
$696$	17.2584	−	4.53000i	0.654177	−	0.171709i
$697$	−1.01370	−	0.215469i	−0.0383967	−	0.00816146i
$698$	−11.7318	+	26.3500i	−0.444054	+	0.997362i
$699$	−3.64793	−	23.8191i	−0.137977	−	0.900921i
$700$	3.80840	−	13.9819i	0.143944	−	0.528467i
$701$	−3.04810	+	9.38108i	−0.115125	+	0.354318i	−0.991973	−	0.126449i	$-0.959642\pi$
$701$	−3.04810	+	9.38108i	−0.115125	+	0.354318i	0.876848	+	0.480768i	$0.159642\pi$
$702$	−4.24474	+	0.157267i	−0.160207	+	0.00593567i
$703$	67.9471	+	39.2293i	2.56267	+	1.47956i
$704$	2.83874	−	1.71509i	0.106989	−	0.0646398i
$705$	−1.20541	+	0.0569992i	−0.0453984	+	0.00214672i
$706$	2.60317	−	3.58295i	0.0979715	−	0.134846i
$707$	−24.0170	−	9.33321i	−0.903251	−	0.351012i
$708$	−2.25585	+	13.7866i	−0.0847800	+	0.518133i
$709$	−29.0678	−	12.9418i	−1.09166	−	0.486040i	−0.219678	−	0.975572i	$-0.570501\pi$
$709$	−29.0678	−	12.9418i	−1.09166	−	0.486040i	−0.871985	+	0.489533i	$0.837167\pi$
$710$	3.27212	+	31.1321i	0.122800	+	1.16837i
$711$	15.2690	−	6.61210i	0.572633	−	0.247973i
$712$	−0.267271	−	1.25741i	−0.0100164	−	0.0471235i
$713$	11.9168	−	16.4021i	0.446290	−	0.614265i
$714$	−1.35080	−	0.796616i	−0.0505526	−	0.0298126i
$715$	−8.70774	+	1.09065i	−0.325651	+	0.0407882i
$716$	4.73260	−	2.73237i	0.176866	−	0.102113i
$717$	−0.481868	+	8.37562i	−0.0179957	+	0.312793i
$718$	−14.7681	−	16.4016i	−0.551140	−	0.612103i
$719$	−15.1616	−	13.6516i	−0.565433	−	0.509118i	0.336101	−	0.941826i	$-0.390892\pi$
$719$	−15.1616	−	13.6516i	−0.565433	−	0.509118i	−0.901534	+	0.432708i	$0.857558\pi$
$720$	3.09493	−	9.20414i	0.115341	−	0.343018i
$721$	−3.43384	+	0.165744i	−0.127883	+	0.00617264i
$722$	−11.8076	−	36.3401i	−0.439434	−	1.35244i
$723$	−16.0473	−	4.38784i	−0.596804	−	0.163186i
$724$	1.85337	−	0.825174i	0.0688800	−	0.0306674i
$725$	28.2121	−	48.8649i	1.04777	−	1.81479i
$726$	11.4699	−	15.2132i	0.425689	−	0.564614i
$727$	−40.2234			−1.49180			−0.745902	−	0.666055i	$-0.767981\pi$
$727$	−40.2234			−1.49180			−0.745902	+	0.666055i	$0.767981\pi$
$728$	0.347154	−	2.13475i	0.0128664	−	0.0791193i
$729$	0.827522	−	26.9873i	0.0306490	−	0.999530i
$730$	−10.1928	+	11.3202i	−0.377251	+	0.418979i
$731$	1.16154	−	0.122083i	0.0429611	−	0.00451539i
$732$	5.49564	−	14.1009i	0.203125	−	0.521184i
$733$	−23.5631	−	21.2163i	−0.870323	−	0.783642i	0.107252	−	0.994232i	$-0.465795\pi$
$733$	−23.5631	−	21.2163i	−0.870323	−	0.783642i	−0.977575	+	0.210590i	$0.932462\pi$
$734$	11.1386	−	34.2810i	0.411132	−	1.26533i
$735$	38.6760	+	6.65682i	1.42659	+	0.245540i
$736$			8.53429i			0.314578i
$737$	0.928909	+	1.22649i	0.0342168	+	0.0451785i
$738$	9.04464	−	0.857288i	0.332938	−	0.0315572i
$739$	−8.26606	−	18.5659i	−0.304072	−	0.682957i	0.695288	−	0.718731i	$-0.255277\pi$
$739$	−8.26606	−	18.5659i	−0.304072	−	0.682957i	−0.999360	+	0.0357745i	$0.988610\pi$
$740$	−6.98079	−	32.8420i	−0.256619	−	1.20730i
$741$	10.5688	+	1.72933i	0.388256	+	0.0635287i
$742$	20.5833	+	10.5950i	0.755637	+	0.388955i
$743$	−8.34886	+	6.06580i	−0.306290	+	0.222533i	−0.730303	−	0.683123i	$-0.760621\pi$
$743$	−8.34886	+	6.06580i	−0.306290	+	0.222533i	0.424013	+	0.905656i	$0.360621\pi$
$744$	−1.45492	−	3.84887i	−0.0533401	−	0.141106i
$745$	40.8537	−	36.7849i	1.49677	−	1.34769i
$746$	−1.83043	−	4.11121i	−0.0670167	−	0.150522i
$747$	−15.3628	+	33.5777i	−0.562094	+	1.22854i
$748$	−0.994013	−	0.547838i	−0.0363447	−	0.0200309i
$749$	−2.71208	−	1.77721i	−0.0990973	−	0.0649379i
$750$	−1.20240	−	2.38995i	−0.0439054	−	0.0872685i
$751$	−25.6149	+	5.44462i	−0.934702	+	0.198677i	−0.649996	−	0.759938i	$-0.725229\pi$
$751$	−25.6149	+	5.44462i	−0.934702	+	0.198677i	−0.284706	+	0.958615i	$0.591896\pi$
$752$	0.0447524	−	0.210543i	0.00163195	−	0.00767773i
$753$	−6.26476	+	16.0743i	−0.228301	+	0.585780i
$754$	3.42521	−	7.69315i	0.124739	−	0.280168i
$755$	−8.07704	−	24.8586i	−0.293954	−	0.904696i
$756$	13.3892	+	3.11939i	0.486959	+	0.113451i
$757$	−5.73586	−	4.16735i	−0.208474	−	0.151465i	0.478649	−	0.878006i	$-0.341127\pi$
$757$	−5.73586	−	4.16735i	−0.208474	−	0.151465i	−0.687123	+	0.726541i	$0.741127\pi$
$758$	2.15873	+	3.73902i	0.0784085	+	0.135807i
$759$	18.2435	+	45.5049i	0.662197	+	1.65172i
$760$	−12.2414	+	21.2027i	−0.444041	+	0.769101i
$761$	1.49224	−	14.1977i	0.0540936	−	0.514666i	−0.933606	−	0.358302i	$-0.883356\pi$
$761$	1.49224	−	14.1977i	0.0540936	−	0.514666i	0.987699	−	0.156365i	$-0.0499775\pi$
$762$	0.189372	−	0.187447i	0.00686024	−	0.00679050i
$763$	5.03592	+	19.1096i	0.182312	+	0.691814i
$764$	8.80778	+	12.1229i	0.318654	+	0.438590i
$765$	−3.25733	+	0.657654i	−0.117769	+	0.0237775i
$766$	3.01271	−	14.1737i	0.108854	−	0.512116i
$767$	4.41177	+	4.89976i	0.159300	+	0.176920i
$768$	1.44778	+	0.950752i	0.0522423	+	0.0343073i
$769$		−	38.5385i		−	1.38973i	−0.719139	−	0.694866i	$-0.755464\pi$
$769$		−	38.5385i		−	1.38973i	0.719139	−	0.694866i	$-0.244536\pi$
$770$	28.1201	+	4.00078i	1.01338	+	0.144178i
$771$	5.57268	+	2.87538i	0.200695	+	0.103554i
$772$	4.94152	+	0.519374i	0.177849	+	0.0186927i
$773$	−7.84194	+	7.06092i	−0.282055	+	0.253964i	−0.797999	−	0.602659i	$-0.794108\pi$
$773$	−7.84194	+	7.06092i	−0.282055	+	0.253964i	0.515944	+	0.856622i	$0.327441\pi$
$774$	−9.39563	+	4.06869i	−0.337719	+	0.146246i
$775$	−11.8868	−	5.29234i	−0.426986	−	0.190106i
$776$	−8.33580	+	6.05631i	−0.299238	+	0.217409i
$777$	45.3422	−	14.2708i	1.62664	−	0.511963i
$778$	−14.5977	−	4.74309i	−0.523354	−	0.170048i
$779$	−22.7805	−	2.39433i	−0.816197	−	0.0857857i
$780$	−2.47641	−	3.85633i	−0.0886698	−	0.138079i
$781$	−31.2354	+	7.29122i	−1.11769	+	0.260900i
$782$	2.52925	−	1.46026i	0.0904457	−	0.0522189i
$783$	47.3166	+	25.0298i	1.69096	+	0.894492i
$784$	−2.89987	+	6.37109i	−0.103567	+	0.227539i
$785$	40.4265	−	13.1354i	1.44288	−	0.468821i
$786$	−0.876004	+	0.701994i	−0.0312460	+	0.0250393i
$787$	−52.1189	+	5.47792i	−1.85784	+	0.195267i	−0.966254	−	0.257590i	$-0.917072\pi$
$787$	−52.1189	+	5.47792i	−1.85784	+	0.195267i	−0.891583	+	0.452857i	$0.850405\pi$
$788$	−7.52242	−	1.59894i	−0.267975	−	0.0569599i
$789$	11.3683	−	41.5762i	0.404721	−	1.48015i
$790$	14.5242	+	10.5524i	0.516746	+	0.375438i
$791$	3.88283	+	7.69892i	0.138058	+	0.273742i
$792$	9.75198	+	1.97454i	0.346522	+	0.0701622i
$793$	−3.57132	−	6.18571i	−0.126821	−	0.219661i
$794$	0.721306	−	0.321146i	0.0255982	−	0.0113970i
$795$	47.4481	−	12.4542i	1.68281	−	0.441706i
$796$	15.2285	−	16.9130i	0.539761	−	0.599465i
$797$	−16.9099	−	23.2744i	−0.598978	−	0.824422i	0.396636	−	0.917976i	$-0.370177\pi$
$797$	−16.9099	−	23.2744i	−0.598978	−	0.824422i	−0.995614	+	0.0935534i	$0.970177\pi$
$798$	−31.5332	−	14.3900i	−1.11626	−	0.509401i
$799$	−0.0700547	+	0.0227621i	−0.00247836	+	0.000805267i
$800$	5.35751	−	1.13877i	0.189417	−	0.0402617i
$801$	1.96228	−	3.31996i	0.0693338	−	0.117305i
$802$	−7.05214	−	4.07155i	−0.249020	−	0.143772i
$803$	−12.8072	−	8.92144i	−0.451958	−	0.314831i
$804$	−0.368427	+	0.714037i	−0.0129934	+	0.0251822i
$805$	−46.2292	+	56.6087i	−1.62936	+	1.99519i
$806$	−1.84692	−	0.600101i	−0.0650551	−	0.0211377i
$807$	22.7918	−	8.61561i	0.802309	−	0.303284i
$808$	−1.01799	−	9.68555i	−0.0358128	−	0.340736i
$809$	−0.996103	−	9.47729i	−0.0350211	−	0.333204i	−0.997979	−	0.0635505i	$-0.979758\pi$
$809$	−0.996103	−	9.47729i	−0.0350211	−	0.333204i	0.962958	−	0.269653i	$-0.0869091\pi$
$810$	25.5211	−	14.0473i	0.896721	−	0.493570i
$811$	21.4359	+	6.96495i	0.752717	+	0.244573i	0.660150	−	0.751134i	$-0.270493\pi$
$811$	21.4359	+	6.96495i	0.752717	+	0.244573i	0.0925670	+	0.995706i	$0.470493\pi$
$812$	−17.2398	+	21.1106i	−0.605000	+	0.740837i
$813$	−10.3546	−	5.34274i	−0.363151	−	0.187378i
$814$	32.5016	−	11.2796i	1.13918	−	0.395349i
$815$	−45.7240	−	26.3988i	−1.60164	−	0.924709i
$816$	0.0340445	−	0.591748i	0.00119180	−	0.0207153i
$817$	25.2504	−	5.36713i	0.883398	−	0.187772i
$818$	−13.6132	+	4.42320i	−0.475974	+	0.154653i
$819$	5.10049	−	4.01051i	0.178226	−	0.140139i
$820$	5.76174	+	7.93035i	0.201209	+	0.276940i
$821$	−24.6497	+	27.3763i	−0.860281	+	0.955439i	−0.999393	−	0.0348381i	$-0.988908\pi$
$821$	−24.6497	+	27.3763i	−0.860281	+	0.955439i	0.139112	+	0.990277i	$0.455575\pi$
$822$	−5.63237	−	21.4582i	−0.196451	−	0.748441i
$823$	34.4663	−	15.3454i	1.20142	−	0.534907i	0.294274	−	0.955721i	$-0.404922\pi$
$823$	34.4663	−	15.3454i	1.20142	−	0.534907i	0.907147	+	0.420814i	$0.138255\pi$
$824$	−0.649690	−	1.12530i	−0.0226330	−	0.0392016i
$825$	26.1320	−	17.5245i	0.909799	−	0.610126i
$826$	−9.60932	−	19.0535i	−0.334351	−	0.662955i
$827$	−28.1253	−	20.4342i	−0.978011	−	0.710567i	−0.0207480	−	0.999785i	$-0.506605\pi$
$827$	−28.1253	−	20.4342i	−0.978011	−	0.710567i	−0.957263	+	0.289218i	$0.906605\pi$
$828$	−17.3252	+	18.8506i	−0.602091	+	0.655104i
$829$	21.9043	+	4.65591i	0.760769	+	0.161706i	0.571931	−	0.820302i	$-0.306195\pi$
$829$	21.9043	+	4.65591i	0.760769	+	0.161706i	0.188838	+	0.982008i	$0.439528\pi$
$830$	−39.6223	+	4.16447i	−1.37531	+	0.144551i
$831$	−23.6873	−	29.5589i	−0.821703	−	1.02539i
$832$	0.777451	−	0.252609i	0.0269533	−	0.00875765i
$833$	2.38434	−	0.230712i	0.0826124	−	0.00799369i
$834$	−5.84006	−	11.6080i	−0.202225	−	0.401952i
$835$	−6.62712	+	3.82617i	−0.229341	+	0.132410i
$836$	−23.1156	−	9.74580i	−0.799471	−	0.337066i
$837$	4.59981	−	11.4550i	0.158993	−	0.395943i
$838$	−21.4117	−	2.25046i	−0.739654	−	0.0777407i
$839$	50.6612	+	16.4608i	1.74902	+	0.568291i	0.995971	−	0.0896753i	$-0.0285829\pi$
$839$	50.6612	+	16.4608i	1.74902	+	0.568291i	0.753048	+	0.657966i	$0.228583\pi$
$840$	4.45316	+	14.1489i	0.153649	+	0.488182i
$841$	−62.3948	+	45.3325i	−2.15155	+	1.56319i
$842$	−15.9532	−	7.10284i	−0.549785	−	0.244780i
$843$	−19.5450	+	23.8855i	−0.673165	+	0.822660i
$844$	−9.28710	+	8.36215i	−0.319675	+	0.287837i
$845$	39.6974	+	4.17236i	1.36563	+	0.143534i
$846$	0.526266	−	0.374199i	0.0180934	−	0.0128652i
$847$	−0.486707	+	29.0992i	−0.0167235	+	0.999860i
$848$			8.74991i			0.300473i
$849$	1.29855	−	1.97741i	0.0445663	−	0.0678644i
$850$	−1.25419	−	1.39292i	−0.0430183	−	0.0477767i
$851$	−18.4056	+	86.5914i	−0.630935	+	2.96832i
$852$	−10.4749	−	13.0714i	−0.358864	−	0.447819i
$853$	20.7703	+	28.5879i	0.711162	+	0.978830i	0.999771	+	0.0213832i	$0.00680699\pi$
$853$	20.7703	+	28.5879i	0.711162	+	0.978830i	−0.288610	+	0.957447i	$0.593193\pi$
$854$	5.89100	+	22.3543i	0.201586	+	0.764950i
$855$	−70.0816	+	21.9818i	−2.39674	+	0.751762i
$856$	0.128105	−	1.21884i	0.00437855	−	0.0416591i
$857$	26.4923	−	45.8860i	0.904960	−	1.56744i	0.0839887	−	0.996467i	$-0.473234\pi$
$857$	26.4923	−	45.8860i	0.904960	−	1.56744i	0.820971	−	0.570970i	$-0.193433\pi$
$858$	3.60538	−	3.00885i	0.123086	−	0.102720i
$859$	−9.01003	−	15.6058i	−0.307418	−	0.532464i	0.670379	−	0.742019i	$-0.266132\pi$
$859$	−9.01003	−	15.6058i	−0.307418	−	0.532464i	−0.977797	+	0.209555i	$0.932798\pi$
$860$	−8.93730	−	6.49333i	−0.304759	−	0.221421i
$861$	−10.3986	+	9.19041i	−0.354383	+	0.313208i
$862$	−4.43197	−	13.6402i	−0.150953	−	0.464587i
$863$	14.1188	−	31.7114i	0.480611	−	1.07947i	−0.496751	−	0.867893i	$-0.665474\pi$
$863$	14.1188	−	31.7114i	0.480611	−	1.07947i	0.977362	−	0.211576i	$-0.0678596\pi$
$864$	1.26778	+	5.03912i	0.0431308	+	0.171434i
$865$	−4.48027	+	21.0780i	−0.152334	+	0.716673i
$866$	21.5666	−	4.58413i	0.732864	−	0.155775i
$867$	26.1223	−	13.1423i	0.887161	−	0.446336i
$868$	5.25710	+	3.44495i	0.178437	+	0.116929i
$869$	−8.87911	+	16.1105i	−0.301203	+	0.546512i
$870$	2.72797	+	57.6907i	0.0924868	+	1.95590i
$871$	0.154240	+	0.346429i	0.00522623	+	0.0117383i
$872$	−5.55080	+	4.99796i	−0.187974	+	0.169252i
$873$	−30.7069	−	3.54500i	−1.03927	−	0.119980i
$874$	52.2230	−	37.9423i	1.76647	−	1.28342i
$875$	3.63358	+	1.87034i	0.122837	+	0.0632291i
$876$	1.31623	−	8.04417i	0.0444714	−	0.271787i
$877$	0.823121	+	3.87248i	0.0277948	+	0.130764i	0.989857	−	0.142065i	$-0.0453740\pi$
$877$	0.823121	+	3.87248i	0.0277948	+	0.130764i	−0.962063	+	0.272829i	$0.912041\pi$
$878$	9.14243	+	20.5342i	0.308542	+	0.692997i
$879$	−21.0914	−	32.8441i	−0.711396	−	1.10780i
$880$	3.51976	+	10.1420i	0.118651	+	0.341887i
$881$		−	9.70900i		−	0.327105i	−0.986535	−	0.163552i	$-0.947705\pi$
$881$		−	9.70900i		−	0.327105i	0.986535	−	0.163552i	$-0.0522953\pi$
$882$	−19.3390	+	8.18557i	−0.651178	+	0.275622i
$883$	0.925471	−	2.84831i	0.0311446	−	0.0958531i	−0.934276	−	0.356551i	$-0.883953\pi$
$883$	0.925471	−	2.84831i	0.0311446	−	0.0958531i	0.965420	+	0.260698i	$0.0839526\pi$
$884$	−0.207890	−	0.187185i	−0.00699210	−	0.00629571i
$885$	−42.1319	−	16.4204i	−1.41625	−	0.551966i
$886$	−11.6186	+	1.22116i	−0.390333	+	0.0410257i
$887$	−3.56372	+	3.95792i	−0.119658	+	0.132894i	−0.799997	−	0.600004i	$-0.795166\pi$
$887$	−3.56372	+	3.95792i	−0.119658	+	0.132894i	0.680339	+	0.732897i	$0.261832\pi$
$888$	12.6392	+	12.7690i	0.424143	+	0.428499i
$889$	−0.0653310	+	0.401740i	−0.00219113	+	0.0134739i
$890$	4.16098			0.139476
$891$	17.5318	+	24.1586i	0.587337	+	0.809342i
$892$	0.119010	−	0.206132i	0.00398475	−	0.00690180i
$893$	−1.48732	+	0.662198i	−0.0497713	+	0.0221596i
$894$	−7.75871	+	28.3752i	−0.259490	+	0.949010i
$895$	5.46606	+	16.8228i	0.182710	+	0.562324i
$896$	−2.64267	+	0.127556i	−0.0882856	+	0.00426136i
$897$	1.82929	+	11.9443i	0.0610781	+	0.398808i
$898$	9.45056	+	8.50933i	0.315369	+	0.283960i
$899$	16.3755	+	18.1868i	0.546152	+	0.606564i
$900$	14.1455	+	8.36077i	0.471516	+	0.278692i
$901$	2.59315	−	1.49716i	0.0863904	−	0.0498775i
$902$	−7.32908	+	6.86784i	−0.244032	+	0.228674i
$903$	7.94477	−	13.4718i	0.264386	−	0.448313i
$904$	−1.91562	+	2.63663i	−0.0637126	+	0.0876929i
$905$	1.36532	+	6.42332i	0.0453847	+	0.213518i
$906$	10.8244	+	8.85738i	0.359617	+	0.294267i
$907$	3.97352	+	37.8055i	0.131939	+	1.25531i	0.837411	+	0.546574i	$0.184068\pi$
$907$	3.97352	+	37.8055i	0.131939	+	1.25531i	−0.705472	+	0.708738i	$0.749265\pi$
$908$	−20.4584	−	9.10865i	−0.678934	−	0.302281i
$909$	17.4138	−	23.4601i	0.577578	−	0.778122i
$910$	6.52526	+	2.53578i	0.216310	+	0.0840601i
$911$	−8.18018	+	11.2590i	−0.271021	+	0.373029i	−0.922734	−	0.385437i	$-0.874051\pi$
$911$	−8.18018	+	11.2590i	−0.271021	+	0.373029i	0.651713	+	0.758466i	$0.274051\pi$
$912$	−0.618794	−	13.0862i	−0.0204903	−	0.433327i
$913$	−9.27965	−	39.7537i	−0.307112	−	1.31566i
$914$	−22.1451	−	12.7855i	−0.732496	−	0.422907i
$915$	40.9466	+	26.8895i	1.35365	+	0.888938i
$916$	−1.09516	+	3.37055i	−0.0361850	+	0.111366i
$917$	0.450649	−	1.65449i	0.0148818	−	0.0546360i
$918$	1.27649	−	1.23794i	0.0421303	−	0.0408582i
$919$	−11.7979	+	26.4985i	−0.389177	+	0.874105i	0.607627	+	0.794222i	$0.292121\pi$
$919$	−11.7979	+	26.4985i	−0.389177	+	0.874105i	−0.996804	+	0.0798831i	$0.974545\pi$
$920$	−27.0206	−	5.74340i	−0.890841	−	0.189354i
$921$	2.93713	+	11.1899i	0.0967816	+	0.368719i
$922$	−1.28089	+	12.1869i	−0.0421839	+	0.401353i
$923$	−7.90566			−0.260218
$924$	−13.8181	+	6.32930i	−0.454582	+	0.208219i
$925$	56.8148			1.86806
$926$	−2.70035	+	25.6921i	−0.0887391	+	0.844296i
$927$	0.849387	−	3.80448i	0.0278975	−	0.124955i
$928$	−10.0765	−	2.14184i	−0.330779	−	0.0703092i
$929$	−8.77004	+	19.6978i	−0.287736	+	0.646265i	−0.998356	−	0.0573104i	$-0.981748\pi$
$929$	−8.77004	+	19.6978i	−0.287736	+	0.646265i	0.710621	+	0.703575i	$0.248414\pi$
$930$	13.1651	−	2.01626i	0.431701	−	0.0661156i
$931$	51.8784	−	10.5801i	1.70025	−	0.346747i
$932$	−4.29914	+	13.2314i	−0.140823	+	0.433408i
$933$	−16.1305	+	24.5631i	−0.528089	+	0.804161i
$934$	7.65419	+	4.41915i	0.250453	+	0.144599i
$935$	2.40347	−	2.77848i	0.0786019	−	0.0908660i
$936$	2.23005	+	1.02031i	0.0728916	+	0.0333500i
$937$	−19.9206	+	27.4184i	−0.650778	+	0.895720i	−0.999133	−	0.0416434i	$-0.986741\pi$
$937$	−19.9206	+	27.4184i	−0.650778	+	0.895720i	0.348354	+	0.937363i	$0.386741\pi$
$938$	−0.186991	−	1.21302i	−0.00610549	−	0.0396064i
$939$	13.6785	+	2.23816i	0.446382	+	0.0730396i
$940$	0.636488	+	0.283383i	0.0207599	+	0.00924292i
$941$	1.19947	+	11.4122i	0.0391017	+	0.372027i	0.996522	+	0.0833299i	$0.0265555\pi$
$941$	1.19947	+	11.4122i	0.0391017	+	0.372027i	−0.957420	+	0.288698i	$0.906778\pi$
$942$	−14.4044	+	17.6033i	−0.469320	+	0.573546i
$943$	−5.37351	−	25.2804i	−0.174986	−	0.823243i
$944$	4.74082	−	6.52518i	0.154301	−	0.212376i
$945$	−18.8870	+	40.2923i	−0.614393	+	1.31071i
$946$	5.46368	−	9.91345i	0.177639	−	0.322314i
$947$	23.0775	−	13.3238i	0.749918	−	0.432965i	−0.0757463	−	0.997127i	$-0.524134\pi$
$947$	23.0775	−	13.3238i	0.749918	−	0.432965i	0.825664	+	0.564162i	$0.190801\pi$
$948$	−9.59078	−	0.551778i	−0.311494	−	0.0179209i
$949$	−2.57416	−	2.85890i	−0.0835608	−	0.0928037i
$950$	−30.7871	−	27.7209i	−0.998866	−	0.899383i
$951$	−49.9447	+	7.64911i	−1.61957	+	0.248039i
$952$	0.489979	+	0.761366i	0.0158803	+	0.0246760i
$953$	−7.17544	−	22.0837i	−0.232435	−	0.715362i	−0.997451	−	0.0713508i	$-0.977269\pi$
$953$	−7.17544	−	22.0837i	−0.232435	−	0.715362i	0.765016	−	0.644011i	$-0.222731\pi$
$954$	−17.7629	+	19.3269i	−0.575095	+	0.625730i
$955$	−44.3099	+	19.7280i	−1.43383	+	0.638384i
$956$	2.42183	−	4.19473i	0.0783276	−	0.135667i
$957$	−58.3068	+	10.1200i	−1.88479	+	0.327134i
$958$	21.9751			0.709983
$959$	26.2479	+	21.4352i	0.847588	+	0.692178i
$960$	−3.98452	+	3.94401i	−0.128600	+	0.127292i
$961$	−16.9668	+	18.8435i	−0.547316	+	0.607856i
$962$	8.43304	−	0.886348i	0.271892	−	0.0285770i
$963$	2.75729	−	2.43212i	0.0888523	−	0.0783740i
$964$	7.13790	+	6.42699i	0.229896	+	0.207000i
$965$	−4.96994	+	15.2959i	−0.159988	+	0.492392i
$966$	4.44715	−	38.8554i	0.143085	−	1.25015i
$967$		−	44.2950i		−	1.42443i	−0.701960	−	0.712216i	$-0.747691\pi$
$967$		−	44.2950i		−	1.42443i	0.701960	−	0.712216i	$-0.252309\pi$
$968$	−9.86319	+	4.87006i	−0.317015	+	0.156530i
$969$	−3.77238	+	2.42250i	−0.121186	+	0.0778220i
$970$	−13.5652	−	30.4679i	−0.435552	−	0.978265i
$971$	−2.07069	−	9.74181i	−0.0664515	−	0.312630i	0.932351	−	0.361555i	$-0.117754\pi$
$971$	−2.07069	−	9.74181i	−0.0664515	−	0.312630i	−0.998802	+	0.0489248i	$0.984421\pi$
$972$	−7.42947	+	13.7041i	−0.238300	+	0.439560i
$973$	17.6483	+	9.08426i	0.565780	+	0.291228i
$974$	−6.66758	+	4.84428i	−0.213643	+	0.155221i
$975$	7.25409	−	2.74215i	0.232317	−	0.0878189i
$976$	−6.49331	+	5.84660i	−0.207846	+	0.187145i
$977$	9.01312	+	20.2438i	0.288355	+	0.647657i	0.998403	−	0.0564971i	$-0.0179932\pi$
$977$	9.01312	+	20.2438i	0.288355	+	0.647657i	−0.710047	+	0.704154i	$0.751326\pi$
$978$	28.2206	−	1.33444i	0.902396	−	0.0426708i
$979$	0.529872	+	4.23048i	0.0169348	+	0.135207i
$980$	−18.2201	−	13.4689i	−0.582018	−	0.430250i
$981$	−22.4068	−	0.228959i	−0.715396	−	0.00731011i
$982$	−24.5346	+	5.21498i	−0.782930	+	0.166417i
$983$	1.56079	−	7.34294i	0.0497815	−	0.234203i	−0.946222	−	0.323518i	$-0.895134\pi$
$983$	1.56079	−	7.34294i	0.0497815	−	0.234203i	0.996003	+	0.0893147i	$0.0284677\pi$
$984$	−4.88727	−	1.90475i	−0.155800	−	0.0607213i
$985$	10.1249	−	22.7408i	0.322605	−	0.724582i
$986$	1.08939	+	3.35280i	0.0346932	+	0.106775i
$987$	−0.313463	+	0.935253i	−0.00997765	+	0.0297694i
$988$	−5.00221	−	3.63431i	−0.159141	−	0.115623i
$989$	14.5634	+	25.2246i	0.463090	+	0.802095i
$990$	−12.8145	+	29.5471i	−0.407272	+	0.939069i
$991$	−15.2579	+	26.4274i	−0.484682	+	0.839493i	−0.999845	−	0.0175985i	$-0.994398\pi$
$991$	−15.2579	+	26.4274i	−0.484682	+	0.839493i	0.515163	+	0.857092i	$0.327731\pi$
$992$	−0.248319	+	2.36260i	−0.00788414	+	0.0750126i
$993$	−27.9972	−	28.2847i	−0.888463	−	0.897588i
$994$	24.6876	+	6.72442i	0.783045	+	0.213286i
$995$	43.3000	+	59.5974i	1.37270	+	1.88936i
$996$	16.6362	−	13.3316i	0.527137	−	0.422426i
$997$	−12.1826	+	57.3147i	−0.385828	+	1.81518i	0.171855	+	0.985122i	$0.445024\pi$
$997$	−12.1826	+	57.3147i	−0.385828	+	1.81518i	−0.557683	+	0.830054i	$0.688310\pi$
$998$	0.288641	+	0.320569i	0.00913678	+	0.0101474i
$999$	1.99560	+	53.8626i	0.0631381	+	1.70414i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bc.b.95.15	yes	128
3.2	odd	2		462.2.bc.a.95.6	✓	128
7.2	even	3	inner	462.2.bc.b.359.7	yes	128
11.8	odd	10		462.2.bc.a.305.7	yes	128
21.2	odd	6		462.2.bc.a.359.7	yes	128
33.8	even	10	inner	462.2.bc.b.305.7	yes	128
77.30	odd	30		462.2.bc.a.107.6	yes	128
231.107	even	30	inner	462.2.bc.b.107.15	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bc.a.95.6	✓	128	3.2	odd	2
462.2.bc.a.107.6	yes	128	77.30	odd	30
462.2.bc.a.305.7	yes	128	11.8	odd	10
462.2.bc.a.359.7	yes	128	21.2	odd	6
462.2.bc.b.95.15	yes	128	1.1	even	1	trivial
462.2.bc.b.107.15	yes	128	231.107	even	30	inner
462.2.bc.b.305.7	yes	128	33.8	even	10	inner
462.2.bc.b.359.7	yes	128	7.2	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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.bc (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +O(q^{10})\)	\(q+(-0.104528 + 0.994522i) q^{2} +(1.67530 - 0.439734i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(1.31655 - 2.95701i) q^{5} +(0.262209 + 1.71209i) q^{6} +(-1.86309 - 1.87854i) q^{7} +(0.309017 - 0.951057i) q^{8} +(2.61327 - 1.47338i) q^{9} +(2.80319 + 1.61843i) q^{10} +(-1.28849 + 3.05611i) q^{11} +(-1.73012 + 0.0818105i) q^{12} +(-0.480491 + 0.661339i) q^{13} +(2.06299 - 1.65652i) q^{14} +(0.905311 - 5.53281i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.0357707 - 0.340336i) q^{17} +(1.19214 + 2.75296i) q^{18} +(-1.57259 - 7.39846i) q^{19} +(-1.90257 + 2.61867i) q^{20} +(-3.94729 - 2.32785i) q^{21} +(-2.90468 - 1.60088i) q^{22} +(7.39091 - 4.26714i) q^{23} +(0.0994842 - 1.72919i) q^{24} +(-3.66496 - 4.07035i) q^{25} +(-0.607492 - 0.546988i) q^{26} +(3.73012 - 3.61749i) q^{27} +(1.43180 + 2.22485i) q^{28} +(3.18339 + 9.79746i) q^{29} +(5.40787 + 1.47869i) q^{30} +(2.17023 - 0.966248i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.814730 + 5.68649i) q^{33} +0.342211 q^{34} +(-8.00770 + 3.03599i) q^{35} +(-2.86249 + 0.897850i) q^{36} +(-6.94087 + 7.70862i) q^{37} +(7.52231 - 0.790627i) q^{38} +(-0.514154 + 1.31923i) q^{39} +(-2.40545 - 2.16588i) q^{40} +(0.935825 - 2.88017i) q^{41} +(2.72770 - 3.68234i) q^{42} +3.41292i q^{43} +(1.89573 - 2.72143i) q^{44} +(-0.916300 - 9.66722i) q^{45} +(3.47121 + 7.79646i) q^{46} +(-0.0447524 - 0.210543i) q^{47} +(1.70932 + 0.279689i) q^{48} +(-0.0578104 + 6.99976i) q^{49} +(4.43115 - 3.21942i) q^{50} +(-0.209584 - 0.554436i) q^{51} +(0.607492 - 0.546988i) q^{52} +(3.55891 + 7.99344i) q^{53} +(3.20777 + 4.08781i) q^{54} +(7.34059 + 7.83358i) q^{55} +(-2.36232 + 1.19140i) q^{56} +(-5.88792 - 11.7031i) q^{57} +(-10.0765 + 2.14184i) q^{58} +(1.67693 - 7.88931i) q^{59} +(-2.03586 + 5.22368i) q^{60} +(-3.55390 + 7.98220i) q^{61} +(0.734104 + 2.25934i) q^{62} +(-7.63654 - 2.16410i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.32300 + 2.29150i) q^{65} +(-5.57018 - 1.40467i) q^{66} +(0.231946 - 0.401742i) q^{67} +(-0.0357707 + 0.340336i) q^{68} +(10.5056 - 10.3988i) q^{69} +(-2.18232 - 8.28118i) q^{70} +(5.68447 + 7.82400i) q^{71} +(-0.593719 - 2.94066i) q^{72} +(-0.978446 + 4.60323i) q^{73} +(-6.94087 - 7.70862i) q^{74} +(-7.92979 - 5.20746i) q^{75} +7.56375i q^{76} +(8.14158 - 3.27332i) q^{77} +(-1.25826 - 0.649234i) q^{78} +(5.51601 + 0.579756i) q^{79} +(2.40545 - 2.16588i) q^{80} +(4.65833 - 7.70065i) q^{81} +(2.76657 + 1.23176i) q^{82} +(-9.95773 + 7.23471i) q^{83} +(3.37704 + 3.09767i) q^{84} +(-1.05347 - 0.342293i) q^{85} +(-3.39422 - 0.356747i) q^{86} +(9.64142 + 15.0139i) q^{87} +(2.50837 + 2.16981i) q^{88} +(1.11328 - 0.642752i) q^{89} +(9.71004 + 0.0992200i) q^{90} +(2.13755 - 0.329512i) q^{91} +(-8.11659 + 2.63724i) q^{92} +(3.21089 - 2.57308i) q^{93} +(0.214068 - 0.0224994i) q^{94} +(-23.9477 - 5.09024i) q^{95} +(-0.456829 + 1.67072i) q^{96} +(-8.33580 - 6.05631i) q^{97} +(-6.95537 - 0.789168i) q^{98} +(1.13563 + 9.88485i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

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