LMFDB - Embedded newform 95.2.r.a.67.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			67.6
Character	$\chi$	$=$	95.67
Dual form			95.2.r.a.78.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.371046 + 0.259809i) q^{2} +(-3.02691 - 0.264820i) q^{3} +(-0.613866 - 1.68658i) q^{4} +(-2.23269 + 0.122805i) q^{5} +(-1.05432 - 0.884679i) q^{6} +(-1.89781 + 0.508516i) q^{7} +(0.444888 - 1.66034i) q^{8} +(6.13763 + 1.08223i) q^{9} +O(q^{10})$	\(q+(0.371046 + 0.259809i) q^{2} +(-3.02691 - 0.264820i) q^{3} +(-0.613866 - 1.68658i) q^{4} +(-2.23269 + 0.122805i) q^{5} +(-1.05432 - 0.884679i) q^{6} +(-1.89781 + 0.508516i) q^{7} +(0.444888 - 1.66034i) q^{8} +(6.13763 + 1.08223i) q^{9} +(-0.860337 - 0.534507i) q^{10} +(0.238127 + 0.412449i) q^{11} +(1.41148 + 5.26770i) q^{12} +(-0.364244 - 4.16333i) q^{13} +(-0.836290 - 0.304385i) q^{14} +(6.79068 + 0.219543i) q^{15} +(-2.15338 + 1.80690i) q^{16} +(-0.463388 + 0.661787i) q^{17} +(1.99617 + 1.99617i) q^{18} +(-2.59888 - 3.49940i) q^{19} +(1.57770 + 3.69024i) q^{20} +(5.87916 - 1.03665i) q^{21} +(-0.0188017 + 0.214905i) q^{22} +(-1.97527 + 4.23599i) q^{23} +(-1.78633 + 4.90790i) q^{24} +(4.96984 - 0.548372i) q^{25} +(0.946520 - 1.63942i) q^{26} +(-9.48666 - 2.54194i) q^{27} +(2.02265 + 2.88865i) q^{28} +(0.693994 - 3.93584i) q^{29} +(2.46261 + 1.84574i) q^{30} +(-8.78658 - 5.07294i) q^{31} +(-4.69320 + 0.410602i) q^{32} +(-0.611565 - 1.31151i) q^{33} +(-0.343876 + 0.125161i) q^{34} +(4.17477 - 1.36842i) q^{35} +(-1.94241 - 11.0160i) q^{36} +(4.48456 - 4.48456i) q^{37} +(-0.0551271 - 1.97365i) q^{38} +12.6985i q^{39} +(-0.789400 + 3.76167i) q^{40} +(4.84667 + 5.77603i) q^{41} +(2.45077 + 1.14281i) q^{42} +(0.992873 - 0.462984i) q^{43} +(0.549451 - 0.654810i) q^{44} +(-13.8364 - 1.66256i) q^{45} +(-1.83346 + 1.05855i) q^{46} +(7.61531 - 5.33230i) q^{47} +(6.99661 - 4.89908i) q^{48} +(-2.71909 + 1.56987i) q^{49} +(1.98651 + 1.08774i) q^{50} +(1.57789 - 1.88046i) q^{51} +(-6.79821 + 3.17006i) q^{52} +(-6.51205 - 3.03662i) q^{53} +(-2.85956 - 3.40789i) q^{54} +(-0.582316 - 0.891628i) q^{55} +3.37725i q^{56} +(6.93987 + 11.2806i) q^{57} +(1.28007 - 1.28007i) q^{58} +(0.304047 + 1.72434i) q^{59} +(-3.79829 - 11.5878i) q^{60} +(-3.30814 + 1.20406i) q^{61} +(-1.94223 - 4.16512i) q^{62} +(-12.1984 + 1.06722i) q^{63} +(3.02080 + 1.74406i) q^{64} +(1.32452 + 9.25072i) q^{65} +(0.113822 - 0.645519i) q^{66} +(-1.74299 - 2.48924i) q^{67} +(1.40062 + 0.375294i) q^{68} +(7.10075 - 12.2989i) q^{69} +(1.90456 + 0.576897i) q^{70} +(-0.907322 + 2.49285i) q^{71} +(4.52744 - 9.70912i) q^{72} +(0.0344750 - 0.394051i) q^{73} +(2.82911 - 0.498848i) q^{74} +(-15.1885 + 0.343758i) q^{75} +(-4.30667 + 6.53139i) q^{76} +(-0.661657 - 0.661657i) q^{77} +(-3.29918 + 4.71172i) q^{78} +(3.51787 - 2.95185i) q^{79} +(4.58595 - 4.29871i) q^{80} +(10.4727 + 3.81176i) q^{81} +(0.297669 + 3.40238i) q^{82} +(2.03694 + 7.60197i) q^{83} +(-5.35742 - 9.27933i) q^{84} +(0.953333 - 1.53447i) q^{85} +(0.488688 + 0.0861690i) q^{86} +(-3.14295 + 11.7296i) q^{87} +(0.790747 - 0.211880i) q^{88} +(-0.225503 - 0.189219i) q^{89} +(-4.70197 - 4.21169i) q^{90} +(2.80839 + 7.71598i) q^{91} +(8.35690 + 0.731134i) q^{92} +(25.2528 + 17.6822i) q^{93} +4.21101 q^{94} +(6.23225 + 7.49394i) q^{95} +14.3146 q^{96} +(3.38897 + 2.37298i) q^{97} +(-1.41677 - 0.123952i) q^{98} +(1.01517 + 2.78917i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.371046	+	0.259809i	0.262369	+	0.183713i	0.697358	−	0.716723i	$-0.254359\pi$
$2$	0.371046	+	0.259809i	0.262369	+	0.183713i	−0.434989	+	0.900436i	$0.643248\pi$
$3$	−3.02691	−	0.264820i	−1.74759	−	0.152894i	−0.831937	−	0.554870i	$-0.812768\pi$
$3$	−3.02691	−	0.264820i	−1.74759	−	0.152894i	−0.915650	+	0.401976i	$0.868324\pi$
$4$	−0.613866	−	1.68658i	−0.306933	−	0.843292i
$5$	−2.23269	+	0.122805i	−0.998491	+	0.0549201i
$5$	−2.23269	+	0.122805i	−0.998491	+	0.0549201i
$6$	−1.05432	−	0.884679i	−0.430424	−	0.361169i
$7$	−1.89781	+	0.508516i	−0.717304	+	0.192201i	−0.598968	−	0.800773i	$-0.704423\pi$
$7$	−1.89781	+	0.508516i	−0.717304	+	0.192201i	−0.118336	+	0.992974i	$0.537756\pi$
$8$	0.444888	−	1.66034i	0.157292	−	0.587020i
$9$	6.13763	+	1.08223i	2.04588	+	0.360744i
$10$	−0.860337	−	0.534507i	−0.272062	−	0.169026i
$11$	0.238127	+	0.412449i	0.0717981	+	0.124358i	0.899689	−	0.436531i	$-0.143793\pi$
$11$	0.238127	+	0.412449i	0.0717981	+	0.124358i	−0.827891	+	0.560889i	$0.810460\pi$
$12$	1.41148	+	5.26770i	0.407458	+	1.52065i
$13$	−0.364244	−	4.16333i	−0.101023	−	1.15470i	−0.862343	−	0.506324i	$-0.831004\pi$
$13$	−0.364244	−	4.16333i	−0.101023	−	1.15470i	0.761320	−	0.648377i	$-0.224552\pi$
$14$	−0.836290	−	0.304385i	−0.223508	−	0.0813503i
$15$	6.79068	+	0.219543i	1.75335	+	0.0566857i
$16$	−2.15338	+	1.80690i	−0.538346	+	0.451726i
$17$	−0.463388	+	0.661787i	−0.112388	+	0.160507i	−0.871405	−	0.490564i	$-0.836791\pi$
$17$	−0.463388	+	0.661787i	−0.112388	+	0.160507i	0.759017	+	0.651071i	$0.225680\pi$
$18$	1.99617	+	1.99617i	0.470502	+	0.470502i
$19$	−2.59888	−	3.49940i	−0.596224	−	0.802818i
$19$	−2.59888	−	3.49940i	−0.596224	−	0.802818i
$20$	1.57770	+	3.69024i	0.352783	+	0.825162i
$21$	5.87916	−	1.03665i	1.28294	−	0.226217i
$22$	−0.0188017	+	0.214905i	−0.00400854	+	0.0458179i
$23$	−1.97527	+	4.23599i	−0.411873	+	0.883265i	0.585489	+	0.810680i	$0.300902\pi$
$23$	−1.97527	+	4.23599i	−0.411873	+	0.883265i	−0.997362	+	0.0725845i	$0.976875\pi$
$24$	−1.78633	+	4.90790i	−0.364633	+	1.00182i
$25$	4.96984	−	0.548372i	0.993968	−	0.109674i
$26$	0.946520	−	1.63942i	0.185628	−	0.321517i
$27$	−9.48666	−	2.54194i	−1.82571	−	0.489197i
$28$	2.02265	+	2.88865i	0.382246	+	0.545904i
$29$	0.693994	−	3.93584i	0.128871	−	0.730866i	−0.850061	−	0.526684i	$-0.823435\pi$
$29$	0.693994	−	3.93584i	0.128871	−	0.730866i	0.978933	−	0.204183i	$-0.0654537\pi$
$30$	2.46261	+	1.84574i	0.449610	+	0.336985i
$31$	−8.78658	−	5.07294i	−1.57812	−	0.911126i	−0.995122	−	0.0986501i	$-0.968548\pi$
$31$	−8.78658	−	5.07294i	−1.57812	−	0.911126i	−0.582995	−	0.812476i	$-0.698119\pi$
$32$	−4.69320	+	0.410602i	−0.829649	+	0.0725849i
$33$	−0.611565	−	1.31151i	−0.106460	−	0.228304i
$34$	−0.343876	+	0.125161i	−0.0589743	+	0.0214649i
$35$	4.17477	−	1.36842i	0.705666	−	0.231305i
$36$	−1.94241	−	11.0160i	−0.323736	−	1.83600i
$37$	4.48456	−	4.48456i	0.737257	−	0.737257i	−0.234789	−	0.972046i	$-0.575440\pi$
$37$	4.48456	−	4.48456i	0.737257	−	0.737257i	0.972046	+	0.234789i	$0.0754399\pi$
$38$	−0.0551271	−	1.97365i	−0.00894280	−	0.320168i
$39$			12.6985i			2.03339i
$40$	−0.789400	+	3.76167i	−0.124815	+	0.594773i
$41$	4.84667	+	5.77603i	0.756922	+	0.902064i	0.997649	−	0.0685283i	$-0.0218304\pi$
$41$	4.84667	+	5.77603i	0.756922	+	0.902064i	−0.240727	+	0.970593i	$0.577386\pi$
$42$	2.45077	+	1.14281i	0.378162	+	0.176340i
$43$	0.992873	−	0.462984i	0.151412	−	0.0706044i	−0.345435	−	0.938443i	$-0.612269\pi$
$43$	0.992873	−	0.462984i	0.151412	−	0.0706044i	0.496847	+	0.867838i	$0.334491\pi$
$44$	0.549451	−	0.654810i	0.0828328	−	0.0987163i
$45$	−13.8364	−	1.66256i	−2.06260	−	0.247839i
$46$	−1.83346	+	1.05855i	−0.270330	+	0.156075i
$47$	7.61531	−	5.33230i	1.11081	−	0.777796i	0.133802	−	0.991008i	$-0.457282\pi$
$47$	7.61531	−	5.33230i	1.11081	−	0.777796i	0.977006	+	0.213212i	$0.0683927\pi$
$48$	6.99661	−	4.89908i	1.00987	−	0.707121i
$49$	−2.71909	+	1.56987i	−0.388442	+	0.224267i
$50$	1.98651	+	1.08774i	0.280935	+	0.153829i
$51$	1.57789	−	1.88046i	0.220949	−	0.263317i
$52$	−6.79821	+	3.17006i	−0.942742	+	0.439608i
$53$	−6.51205	−	3.03662i	−0.894499	−	0.417112i	−0.0796756	−	0.996821i	$-0.525388\pi$
$53$	−6.51205	−	3.03662i	−0.894499	−	0.417112i	−0.814824	+	0.579709i	$0.803166\pi$
$54$	−2.85956	−	3.40789i	−0.389137	−	0.463756i
$55$	−0.582316	−	0.891628i	−0.0785195	−	0.120227i
$56$			3.37725i			0.451304i
$57$	6.93987	+	11.2806i	0.919208	+	1.49415i
$58$	1.28007	−	1.28007i	0.168081	−	0.168081i
$59$	0.304047	+	1.72434i	0.0395836	+	0.224490i	0.998182	−	0.0602717i	$-0.0191967\pi$
$59$	0.304047	+	1.72434i	0.0395836	+	0.224490i	−0.958598	+	0.284761i	$0.908086\pi$
$60$	−3.79829	−	11.5878i	−0.490358	−	1.49598i
$61$	−3.30814	+	1.20406i	−0.423564	+	0.154165i	−0.545003	−	0.838434i	$-0.683471\pi$
$61$	−3.30814	+	1.20406i	−0.423564	+	0.154165i	0.121439	+	0.992599i	$0.461249\pi$
$62$	−1.94223	−	4.16512i	−0.246663	−	0.528971i
$63$	−12.1984	+	1.06722i	−1.53685	+	0.134457i
$64$	3.02080	+	1.74406i	0.377600	+	0.218008i
$65$	1.32452	+	9.25072i	0.164287	+	1.14741i
$66$	0.113822	−	0.645519i	0.0140106	−	0.0794579i
$67$	−1.74299	−	2.48924i	−0.212940	−	0.304110i	0.698446	−	0.715663i	$-0.253875\pi$
$67$	−1.74299	−	2.48924i	−0.212940	−	0.304110i	−0.911386	+	0.411553i	$0.864986\pi$
$68$	1.40062	+	0.375294i	0.169850	+	0.0455111i
$69$	7.10075	−	12.2989i	0.854830	−	1.48061i
$70$	1.90456	+	0.576897i	0.227638	+	0.0689524i
$71$	−0.907322	+	2.49285i	−0.107679	+	0.295847i	−0.981816	−	0.189833i	$-0.939205\pi$
$71$	−0.907322	+	2.49285i	−0.107679	+	0.295847i	0.874137	+	0.485679i	$0.161428\pi$
$72$	4.52744	−	9.70912i	0.533563	−	1.14423i
$73$	0.0344750	−	0.394051i	0.00403499	−	0.0461202i	−0.993910	−	0.110192i	$-0.964853\pi$
$73$	0.0344750	−	0.394051i	0.00403499	−	0.0461202i	0.997945	+	0.0640723i	$0.0204088\pi$
$74$	2.82911	−	0.498848i	0.328877	−	0.0579899i
$75$	−15.1885	+	0.343758i	−1.75381	+	0.0396938i
$76$	−4.30667	+	6.53139i	−0.494009	+	0.749202i
$77$	−0.661657	−	0.661657i	−0.0754028	−	0.0754028i
$78$	−3.29918	+	4.71172i	−0.373559	+	0.533497i
$79$	3.51787	−	2.95185i	0.395792	−	0.332109i	−0.423073	−	0.906096i	$-0.639048\pi$
$79$	3.51787	−	2.95185i	0.395792	−	0.332109i	0.818864	+	0.573987i	$0.194604\pi$
$80$	4.58595	−	4.29871i	0.512725	−	0.480610i
$81$	10.4727	+	3.81176i	1.16364	+	0.423529i
$82$	0.297669	+	3.40238i	0.0328721	+	0.375730i
$83$	2.03694	+	7.60197i	0.223583	+	0.834425i	0.982967	+	0.183782i	$0.0588340\pi$
$83$	2.03694	+	7.60197i	0.223583	+	0.834425i	−0.759384	+	0.650643i	$0.774499\pi$
$84$	−5.35742	−	9.27933i	−0.584543	−	1.01246i
$85$	0.953333	−	1.53447i	0.103404	−	0.166437i
$86$	0.488688	+	0.0861690i	0.0526966	+	0.00929184i
$87$	−3.14295	+	11.7296i	−0.336959	+	1.25755i
$88$	0.790747	−	0.211880i	0.0842939	−	0.0225865i
$89$	−0.225503	−	0.189219i	−0.0239032	−	0.0200572i	0.630758	−	0.775980i	$-0.282744\pi$
$89$	−0.225503	−	0.189219i	−0.0239032	−	0.0200572i	−0.654661	+	0.755923i	$0.727189\pi$
$90$	−4.70197	−	4.21169i	−0.495631	−	0.443952i
$91$	2.80839	+	7.71598i	0.294399	+	0.808855i
$92$	8.35690	+	0.731134i	0.871267	+	0.0762260i
$93$	25.2528	+	17.6822i	2.61859	+	1.83356i
$94$	4.21101			0.434332
$95$	6.23225	+	7.49394i	0.639415	+	0.768862i
$96$	14.3146			1.46098
$97$	3.38897	+	2.37298i	0.344097	+	0.240940i	0.732831	−	0.680411i	$-0.238199\pi$
$97$	3.38897	+	2.37298i	0.344097	+	0.240940i	−0.388734	+	0.921350i	$0.627087\pi$
$98$	−1.41677	−	0.123952i	−0.143116	−	0.0125210i
$99$	1.01517	+	2.78917i	0.102029	+	0.280322i
$100$	−3.97569	−	8.04542i	−0.397569	−	0.804542i
$101$	7.59390	+	6.37204i	0.755622	+	0.634042i	0.936983	−	0.349375i	$-0.113606\pi$
$101$	7.59390	+	6.37204i	0.755622	+	0.634042i	−0.181361	+	0.983417i	$0.558050\pi$
$102$	1.07403	−	0.287785i	0.106345	−	0.0284950i
$103$	4.43855	−	16.5649i	0.437344	−	1.63219i	−0.298051	−	0.954550i	$-0.596337\pi$
$103$	4.43855	−	16.5649i	0.437344	−	1.63219i	0.735395	−	0.677639i	$-0.236997\pi$
$104$	−7.07462	−	1.24745i	−0.693723	−	0.122322i
$105$	−12.9991	+	3.03652i	−1.26858	+	0.296334i
$106$	−1.62733	−	2.81861i	−0.158060	−	0.273768i
$107$	−0.271946	−	1.01491i	−0.0262900	−	0.0981155i	0.951534	−	0.307543i	$-0.0995067\pi$
$107$	−0.271946	−	1.01491i	−0.0262900	−	0.0981155i	−0.977824	+	0.209427i	$0.932840\pi$
$108$	1.53634	+	17.5605i	0.147834	+	1.68976i
$109$	−7.91145	−	2.87953i	−0.757780	−	0.275809i	−0.0659041	−	0.997826i	$-0.520993\pi$
$109$	−7.91145	−	2.87953i	−0.757780	−	0.275809i	−0.691876	+	0.722017i	$0.743215\pi$
$110$	0.0155871	−	0.482126i	0.00148617	−	0.0459689i
$111$	−14.7620	+	12.3868i	−1.40114	+	1.17570i
$112$	3.16787	−	4.52419i	0.299336	−	0.427496i
$113$	−7.71845	−	7.71845i	−0.726091	−	0.726091i	0.243748	−	0.969839i	$-0.421623\pi$
$113$	−7.71845	−	7.71845i	−0.726091	−	0.726091i	−0.969839	+	0.243748i	$0.921623\pi$
$114$	−0.355798	+	5.98866i	−0.0333235	+	0.560890i
$115$	3.88998	−	9.70024i	0.362743	−	0.904552i
$116$	−7.06413	+	1.24560i	−0.655888	+	0.115651i
$117$	2.27009	−	25.9472i	0.209870	−	2.39882i
$118$	−0.335183	+	0.718802i	−0.0308561	+	0.0661711i
$119$	0.542893	−	1.49159i	0.0497669	−	0.136733i
$120$	3.38561	−	11.1772i	0.309063	−	1.02033i
$121$	5.38659	−	9.32985i	0.489690	−	0.848168i
$122$	−1.54030	−	0.412721i	−0.139452	−	0.0373660i
$123$	−13.1408	−	18.7670i	−1.18487	−	1.69217i
$124$	−3.16214	+	17.9334i	−0.283969	+	1.61047i
$125$	−11.0288	+	1.83467i	−0.986444	+	0.164098i
$126$	−4.80343	−	2.77326i	−0.427924	−	0.247062i
$127$	10.0117	−	0.875911i	0.888395	−	0.0777245i	0.366186	−	0.930542i	$-0.380663\pi$
$127$	10.0117	−	0.875911i	0.888395	−	0.0777245i	0.522210	+	0.852817i	$0.325108\pi$
$128$	4.64975	+	9.97142i	0.410984	+	0.881358i
$129$	−3.12794	+	1.13848i	−0.275400	+	0.100237i
$130$	−1.91196	+	3.77656i	−0.167690	+	0.331226i
$131$	−2.04515	−	11.5986i	−0.178686	−	1.01338i	−0.933803	−	0.357787i	$-0.883531\pi$
$131$	−2.04515	−	11.5986i	−0.178686	−	1.01338i	0.755118	−	0.655589i	$-0.227580\pi$
$132$	−1.83655	+	1.83655i	−0.159851	+	0.159851i
$133$	6.71168	+	5.31962i	0.581976	+	0.461270i
$134$		−	1.37647i		−	0.118909i
$135$	21.4930	+	4.51037i	1.84982	+	0.388191i
$136$	0.892639	+	1.06381i	0.0765432	+	0.0912206i
$137$	−17.0265	−	7.93960i	−1.45467	−	0.678325i	−0.475196	−	0.879880i	$-0.657623\pi$
$137$	−17.0265	−	7.93960i	−1.45467	−	0.678325i	−0.979477	+	0.201554i	$0.935401\pi$
$138$	5.83006	−	2.71860i	0.496288	−	0.231423i
$139$	−6.70183	+	7.98693i	−0.568441	+	0.677442i	−0.971310	−	0.237816i	$-0.923569\pi$
$139$	−6.70183	+	7.98693i	−0.568441	+	0.677442i	0.402869	+	0.915258i	$0.368013\pi$
$140$	−4.87071	−	6.20108i	−0.411650	−	0.524087i
$141$	−24.4630	+	14.1237i	−2.06015	+	1.18943i
$142$	−0.984322	+	0.689230i	−0.0826025	+	0.0578389i
$143$	1.63042	−	1.14164i	0.136343	−	0.0954684i
$144$	−15.1722	+	8.75966i	−1.26435	+	0.729972i
$145$	−1.06614	+	8.87274i	−0.0885377	+	0.736841i
$146$	0.115170	−	0.137254i	0.00953151	−	0.0113592i
$147$	8.64618	−	4.03178i	0.713125	−	0.332536i
$148$	−10.3165	−	4.81067i	−0.848012	−	0.395434i
$149$	−14.5924	−	17.3906i	−1.19546	−	1.42469i	−0.879487	−	0.475922i	$-0.842114\pi$
$149$	−14.5924	−	17.3906i	−1.19546	−	1.42469i	−0.315970	−	0.948769i	$-0.602330\pi$
$150$	−5.72493	−	3.81855i	−0.467438	−	0.311783i
$151$			3.39398i			0.276198i	0.990418	+	0.138099i	$0.0440992\pi$
$151$			3.39398i			0.276198i	−0.990418	+	0.138099i	$0.955901\pi$
$152$	−6.96643	+	2.75820i	−0.565052	+	0.223719i
$153$	−3.56032	+	3.56032i	−0.287834	+	0.287834i
$154$	−0.0736005	−	0.417409i	−0.00593090	−	0.0336358i
$155$	20.2407	+	10.2473i	1.62577	+	0.823081i
$156$	21.4171	−	7.79518i	1.71474	−	0.624114i
$157$	5.22244	+	11.1996i	0.416796	+	0.893823i	0.996855	+	0.0792479i	$0.0252519\pi$
$157$	5.22244	+	11.1996i	0.416796	+	0.893823i	−0.580059	+	0.814575i	$0.696970\pi$
$158$	2.07221	−	0.181295i	0.164856	−	0.0144230i
$159$	18.9072	+	10.9161i	1.49944	+	0.865703i
$160$	10.4281	−	1.49310i	0.824410	−	0.118040i
$161$	1.59462	−	9.04355i	0.125674	−	0.712732i
$162$	2.89553	+	4.13524i	0.227494	+	0.324895i
$163$	0.770648	+	0.206494i	0.0603618	+	0.0161739i	0.288874	−	0.957367i	$-0.406719\pi$
$163$	0.770648	+	0.206494i	0.0603618	+	0.0161739i	−0.228512	+	0.973541i	$0.573386\pi$
$164$	6.76655	−	11.7200i	0.528379	−	0.915179i
$165$	1.52650	+	2.85309i	0.118838	+	0.222113i
$166$	−1.21926	+	3.34989i	−0.0946331	+	0.260002i
$167$	5.53000	−	11.8591i	0.427924	−	0.917687i	−0.567611	−	0.823297i	$-0.692132\pi$
$167$	5.53000	−	11.8591i	0.427924	−	0.917687i	0.995535	−	0.0943898i	$-0.0300900\pi$
$168$	0.894364	−	10.2226i	0.0690017	−	0.788693i
$169$	−4.39817	+	0.775516i	−0.338321	+	0.0596551i
$170$	0.752400	−	0.321675i	0.0577065	−	0.0246714i
$171$	−12.1638	−	24.2906i	−0.930191	−	1.85755i
$172$	−1.39035	−	1.39035i	−0.106013	−	0.106013i
$173$	−6.01038	+	8.58372i	−0.456961	+	0.652608i	−0.979836	−	0.199801i	$-0.935970\pi$
$173$	−6.01038	+	8.58372i	−0.456961	+	0.652608i	0.522875	+	0.852409i	$0.324859\pi$
$174$	−4.21364	+	3.53567i	−0.319435	+	0.268038i
$175$	−9.15294	+	3.56795i	−0.691897	+	0.269711i
$176$	−1.25803	−	0.457887i	−0.0948279	−	0.0345145i
$177$	−0.463684	−	5.29994i	−0.0348526	−	0.398368i
$178$	−0.0345109	−	0.128796i	−0.00258670	−	0.00965370i
$179$	−2.06040	−	3.56872i	−0.154002	−	0.266739i	0.778693	−	0.627405i	$-0.215883\pi$
$179$	−2.06040	−	3.56872i	−0.154002	−	0.266739i	−0.932695	+	0.360666i	$0.882549\pi$
$180$	5.68963	+	24.3568i	0.424080	+	1.81545i
$181$	1.86465	+	0.328788i	0.138598	+	0.0244386i	0.242517	−	0.970147i	$-0.422027\pi$
$181$	1.86465	+	0.328788i	0.138598	+	0.0244386i	−0.103919	+	0.994586i	$0.533138\pi$
$182$	−0.962641	+	3.59263i	−0.0713557	+	0.266303i
$183$	10.3323	−	2.76853i	0.763785	−	0.204656i
$184$	6.15443	+	5.16418i	0.453710	+	0.380708i
$185$	−9.46192	+	10.5634i	−0.695655	+	0.776635i
$186$	4.77594	+	13.1218i	0.350189	+	0.962137i
$187$	−0.383299	−	0.0335343i	−0.0280296	−	0.00245227i
$188$	−13.6681	−	9.57054i	−0.996852	−	0.698003i
$189$	19.2965			1.40361
$190$	0.365456	+	4.39979i	0.0265130	+	0.319194i
$191$	−10.2817			−0.743955			−0.371977	−	0.928242i	$-0.621320\pi$
$191$	−10.2817			−0.743955			−0.371977	+	0.928242i	$0.621320\pi$
$192$	−8.68183	−	6.07908i	−0.626557	−	0.438720i
$193$	1.83479	+	0.160524i	0.132071	+	0.0115547i	0.153000	−	0.988226i	$-0.451107\pi$
$193$	1.83479	+	0.160524i	0.132071	+	0.0115547i	−0.0209284	+	0.999781i	$0.506662\pi$
$194$	0.640940	+	1.76097i	0.0460168	+	0.126430i
$195$	−1.55944	−	28.3518i	−0.111674	−	2.03032i
$196$	4.31687	+	3.62229i	0.308348	+	0.258735i
$197$	6.55723	−	1.75700i	0.467183	−	0.125181i	−0.0175452	−	0.999846i	$-0.505585\pi$
$197$	6.55723	−	1.75700i	0.467183	−	0.125181i	0.484728	+	0.874665i	$0.338918\pi$
$198$	−0.347975	+	1.29866i	−0.0247295	+	0.0922917i
$199$	13.7215	+	2.41947i	0.972691	+	0.171512i	0.637341	−	0.770582i	$-0.280034\pi$
$199$	13.7215	+	2.41947i	0.972691	+	0.171512i	0.335350	+	0.942094i	$0.391145\pi$
$200$	1.30054	−	8.49561i	0.0919617	−	0.600730i
$201$	4.61667	+	7.99630i	0.325634	+	0.564015i
$202$	1.16217	+	4.33728i	0.0817701	+	0.305170i
$203$	0.684368	+	7.82237i	0.0480332	+	0.549023i
$204$	−4.14016	−	1.50689i	−0.289869	−	0.105504i
$205$	−11.5304	−	12.3009i	−0.805321	−	0.859133i
$206$	5.95062	−	4.99316i	0.414599	−	0.347890i
$207$	−16.7078	+	23.8613i	−1.16127	+	1.65847i
$208$	8.30710	+	8.30710i	0.575994	+	0.575994i
$209$	0.824459	−	1.90521i	0.0570290	−	0.131786i
$210$	−5.61216	−	2.25058i	−0.387276	−	0.155305i
$211$	10.8661	−	1.91599i	0.748053	−	0.131902i	0.213390	−	0.976967i	$-0.431550\pi$
$211$	10.8661	−	1.91599i	0.748053	−	0.131902i	0.534663	+	0.845065i	$0.320438\pi$
$212$	−1.12398	+	12.8472i	−0.0771955	+	0.882349i
$213$	3.40654	−	7.30535i	0.233412	−	0.500554i
$214$	0.162780	−	0.447234i	0.0111274	−	0.0305723i
$215$	−2.15992	+	1.15563i	−0.147306	+	0.0788134i
$216$	−8.44100	+	14.6202i	−0.574337	+	0.994781i
$217$	19.2549	+	5.15934i	1.30711	+	0.350239i
$218$	−2.18738	−	3.12390i	−0.148148	−	0.211578i
$219$	−0.208705	+	1.18363i	−0.0141030	+	0.0799821i
$220$	−1.14634	+	1.52946i	−0.0772863	+	0.103116i
$221$	2.92403	+	1.68819i	0.196691	+	0.113560i
$222$	−8.69556	+	0.760763i	−0.583608	+	0.0510590i
$223$	0.0883919	+	0.189557i	0.00591916	+	0.0126937i	0.909245	−	0.416261i	$-0.136660\pi$
$223$	0.0883919	+	0.189557i	0.00591916	+	0.0126937i	−0.903326	+	0.428955i	$0.858882\pi$
$224$	8.69800	−	3.16581i	0.581159	−	0.211525i
$225$	31.0965	+	2.01280i	2.07310	+	0.134187i
$226$	−0.858575	−	4.86922i	−0.0571116	−	0.323896i
$227$	−13.3368	+	13.3368i	−0.885192	+	0.885192i	−0.994057	−	0.108864i	$-0.965279\pi$
$227$	−13.3368	+	13.3368i	−0.885192	+	0.885192i	0.108864	+	0.994057i	$0.465279\pi$
$228$	14.7655	−	18.6295i	0.977872	−	1.23377i
$229$			1.82322i			0.120482i	0.998184	+	0.0602408i	$0.0191869\pi$
$229$			1.82322i			0.120482i	−0.998184	+	0.0602408i	$0.980813\pi$
$230$	3.96357	−	2.58858i	0.261350	−	0.170686i
$231$	1.82756	+	2.17800i	0.120244	+	0.143302i
$232$	−6.22609	−	2.90328i	−0.408763	−	0.190609i
$233$	−16.4064	+	7.65042i	−1.07482	+	0.501195i	−0.877713	−	0.479187i	$-0.840932\pi$
$233$	−16.4064	+	7.65042i	−1.07482	+	0.501195i	−0.197104	+	0.980383i	$0.563154\pi$
$234$	7.58362	−	9.03781i	0.495757	−	0.590820i
$235$	−16.3478	+	12.8406i	−1.06641	+	0.837627i
$236$	2.72160	−	1.57131i	0.177161	−	0.102284i
$237$	−11.4300	+	8.00337i	−0.742458	+	0.519875i
$238$	0.588965	−	0.412398i	0.0381769	−	0.0267318i
$239$	26.1511	−	15.0983i	1.69157	−	0.976630i	0.738323	−	0.674448i	$-0.235618\pi$
$239$	26.1511	−	15.0983i	1.69157	−	0.976630i	0.953250	−	0.302183i	$-0.0977152\pi$
$240$	−15.0196	+	11.7974i	−0.969514	+	0.761516i
$241$	14.7560	−	17.5855i	0.950516	−	1.13278i	−0.0405195	−	0.999179i	$-0.512901\pi$
$241$	14.7560	−	17.5855i	0.950516	−	1.13278i	0.991035	−	0.133602i	$-0.0426543\pi$
$242$	4.42265	−	2.06232i	0.284299	−	0.132571i
$243$	−3.98716	−	1.85924i	−0.255776	−	0.119270i
$244$	4.06151	+	4.84032i	0.260011	+	0.309869i
$245$	5.87811	−	3.83895i	0.375539	−	0.245262i
$246$		−	10.3775i		−	0.661647i
$247$	−13.6226	+	12.0946i	−0.866782	+	0.769564i
$248$	−12.3319	+	12.3319i	−0.783074	+	0.783074i
$249$	−4.15249	−	23.5499i	−0.263153	−	1.49242i
$250$	−4.56884	−	2.18463i	−0.288959	−	0.138168i
$251$	3.28776	−	1.19665i	0.207522	−	0.0755317i	−0.236168	−	0.971712i	$-0.575892\pi$
$251$	3.28776	−	1.19665i	0.207522	−	0.0755317i	0.443689	+	0.896181i	$0.353669\pi$
$252$	9.28813	+	19.9185i	0.585097	+	1.25475i
$253$	−2.21749	+	0.194006i	−0.139413	+	0.0121970i
$254$	3.94237	+	2.27613i	0.247366	+	0.142817i
$255$	−3.29202	+	4.39225i	−0.206154	+	0.275054i
$256$	0.346016	−	1.96236i	0.0216260	−	0.122647i
$257$	−2.42456	−	3.46264i	−0.151240	−	0.215993i	0.736382	−	0.676566i	$-0.236533\pi$
$257$	−2.42456	−	3.46264i	−0.151240	−	0.215993i	−0.887622	+	0.460573i	$0.847644\pi$
$258$	−1.45640	−	0.390240i	−0.0906713	−	0.0242953i
$259$	−6.23036	+	10.7913i	−0.387136	+	0.670539i
$260$	14.7890	−	7.91262i	0.917176	−	0.490720i
$261$	8.51896	−	23.4057i	0.527311	−	1.44877i
$262$	2.25458	−	4.83497i	0.139289	−	0.298705i
$263$	−1.53523	+	17.5477i	−0.0946662	+	1.08204i	0.789148	+	0.614202i	$0.210522\pi$
$263$	−1.53523	+	17.5477i	−0.0946662	+	1.08204i	−0.883815	+	0.467837i	$0.845033\pi$
$264$	−2.44963	+	0.431936i	−0.150764	+	0.0265838i
$265$	14.9123	+	5.98013i	0.916057	+	0.367356i
$266$	1.10825	+	3.71758i	0.0679514	+	0.227939i
$267$	0.632467	+	0.632467i	0.0387063	+	0.0387063i
$268$	−3.12836	+	4.46776i	−0.191095	+	0.272912i
$269$	−10.0078	+	8.39751i	−0.610184	+	0.512006i	−0.894701	−	0.446666i	$-0.852611\pi$
$269$	−10.0078	+	8.39751i	−0.610184	+	0.512006i	0.284517	+	0.958671i	$0.408167\pi$
$270$	6.80303	+	7.25761i	0.414019	+	0.441684i
$271$	−13.0902	−	4.76443i	−0.795171	−	0.289419i	−0.0876870	−	0.996148i	$-0.527948\pi$
$271$	−13.0902	−	4.76443i	−0.795171	−	0.289419i	−0.707484	+	0.706730i	$0.750170\pi$
$272$	−0.197933	−	2.26238i	−0.0120014	−	0.137177i
$273$	−6.45739	−	24.0993i	−0.390819	−	1.45856i
$274$	−4.25484	−	7.36959i	−0.257044	−	0.445213i
$275$	1.40963	+	1.91922i	0.0850039	+	0.115733i
$276$	−25.1020	−	4.42616i	−1.51096	−	0.266423i
$277$	4.23013	−	15.7870i	0.254164	−	0.948552i	−0.714390	−	0.699748i	$-0.753296\pi$
$277$	4.23013	−	15.7870i	0.254164	−	0.948552i	0.968554	−	0.248804i	$-0.0800375\pi$
$278$	−4.56176	+	1.22232i	−0.273596	+	0.0733098i
$279$	−48.4387	−	40.6449i	−2.89995	−	2.43335i
$280$	−0.414743	−	7.54036i	−0.0247856	−	0.450623i
$281$	9.89365	+	27.1826i	0.590206	+	1.62158i	0.770123	+	0.637895i	$0.220195\pi$
$281$	9.89365	+	27.1826i	0.590206	+	1.62158i	−0.179918	+	0.983682i	$0.557583\pi$
$282$	−12.7463	−	1.11516i	−0.759034	−	0.0664068i
$283$	15.7173	+	11.0054i	0.934297	+	0.654202i	0.938312	−	0.345790i	$-0.112389\pi$
$283$	15.7173	+	11.0054i	0.934297	+	0.654202i	−0.00401516	+	0.999992i	$0.501278\pi$
$284$	4.76137			0.282535
$285$	−16.8799	−	24.3339i	−0.999879	−	1.44142i
$286$	0.901569			0.0533109
$287$	−12.1352	−	8.49719i	−0.716321	−	0.501573i
$288$	−29.2495	−	2.55900i	−1.72354	−	0.150791i
$289$	5.59111	+	15.3614i	0.328889	+	0.903614i
$290$	−2.70080	+	3.01520i	−0.158597	+	0.177059i
$291$	−9.62968	−	8.08026i	−0.564502	−	0.473673i
$292$	−0.685763	+	0.183750i	−0.0401312	+	0.0107531i
$293$	−0.726601	+	2.71171i	−0.0424485	+	0.158420i	−0.983897	−	0.178737i	$-0.942799\pi$
$293$	−0.726601	+	2.71171i	−0.0424485	+	0.158420i	0.941448	+	0.337157i	$0.109465\pi$
$294$	4.25562	+	0.750381i	0.248193	+	0.0437631i
$295$	−0.890602	−	3.81258i	−0.0518528	−	0.221977i
$296$	−5.45079	−	9.44105i	−0.316821	−	0.548750i
$297$	−1.21061	−	4.51806i	−0.0702468	−	0.262165i
$298$	−0.896228	−	10.2439i	−0.0519171	−	0.593415i
$299$	18.3553	+	6.68079i	1.06152	+	0.386360i
$300$	9.90347	+	25.4056i	0.571777	+	1.46679i
$301$	−1.64885	+	1.38355i	−0.0950379	+	0.0797463i
$302$	−0.881786	+	1.25932i	−0.0507411	+	0.0724658i
$303$	−21.2986	−	21.2986i	−1.22357	−	1.22357i
$304$	11.9195	+	2.83963i	0.683629	+	0.162864i
$305$	7.23819	−	3.09456i	0.414458	−	0.177194i
$306$	−2.24604	+	0.396038i	−0.128398	+	0.0226400i
$307$	−0.829858	+	9.48532i	−0.0473625	+	0.541356i	0.935035	+	0.354555i	$0.115368\pi$
$307$	−0.829858	+	9.48532i	−0.0473625	+	0.541356i	−0.982398	+	0.186801i	$0.940188\pi$
$308$	−0.709770	+	1.52211i	−0.0404429	+	0.0867301i
$309$	−17.8218	+	48.9651i	−1.01385	+	2.78553i
$310$	4.84790	+	9.06093i	0.275342	+	0.514626i
$311$	11.9740	−	20.7396i	0.678982	−	1.17603i	−0.296305	−	0.955093i	$-0.595755\pi$
$311$	11.9740	−	20.7396i	0.678982	−	1.17603i	0.975288	−	0.220939i	$-0.0709121\pi$
$312$	21.0839	+	5.64941i	1.19364	+	0.319835i
$313$	4.81731	+	6.87983i	0.272290	+	0.388871i	0.931887	−	0.362749i	$-0.118162\pi$
$313$	4.81731	+	6.87983i	0.272290	+	0.388871i	−0.659597	+	0.751620i	$0.729273\pi$
$314$	−0.971983	+	5.51239i	−0.0548521	+	0.311082i
$315$	27.1042	−	3.88080i	1.52715	−	0.218658i
$316$	−7.13804	−	4.12115i	−0.401546	−	0.231833i
$317$	−3.43949	+	0.300916i	−0.193181	+	0.0169011i	−0.183335	−	0.983050i	$-0.558689\pi$
$317$	−3.43949	+	0.300916i	−0.193181	+	0.0169011i	−0.00984528	+	0.999952i	$0.503134\pi$
$318$	4.17935	+	8.96264i	0.234366	+	0.502600i
$319$	1.78859	−	0.650993i	0.100142	−	0.0364486i
$320$	−6.95870	−	3.52298i	−0.389003	−	0.196941i
$321$	0.554385	+	3.14407i	0.0309427	+	0.175485i
$322$	2.94127	−	2.94127i	0.163911	−	0.163911i
$323$	3.52015	−	0.0983233i	0.195866	−	0.00547086i
$324$		−	20.0030i		−	1.11128i
$325$	−4.09329	−	20.4914i	−0.227055	−	1.13666i
$326$	0.232296	+	0.276840i	0.0128657	+	0.0153328i
$327$	23.1847	+	10.8112i	1.28212	+	0.597861i
$328$	11.7464	−	5.47745i	0.648588	−	0.302441i
$329$	−11.7408	+	13.9922i	−0.647293	+	0.771414i
$330$	−0.174857	+	1.45522i	−0.00962559	+	0.0801074i
$331$	13.8683	−	8.00688i	0.762272	−	0.440098i	−0.0678392	−	0.997696i	$-0.521610\pi$
$331$	13.8683	−	8.00688i	0.762272	−	0.440098i	0.830111	+	0.557599i	$0.188277\pi$
$332$	11.5710	−	8.10207i	0.635038	−	0.444659i
$333$	32.3779	−	22.6713i	1.77430	−	1.24238i
$334$	5.13299	−	2.96353i	0.280865	−	0.162157i
$335$	4.19725	+	5.34367i	0.229320	+	0.291956i
$336$	−10.7870	+	12.8554i	−0.588477	+	0.701319i
$337$	−16.6969	+	7.78587i	−0.909536	+	0.424123i	−0.820330	−	0.571890i	$-0.806210\pi$
$337$	−16.6969	+	7.78587i	−0.909536	+	0.424123i	−0.0892052	+	0.996013i	$0.528433\pi$
$338$	−1.83341	−	0.854932i	−0.0997242	−	0.0465022i
$339$	21.3191	+	25.4071i	1.15789	+	1.37992i
$340$	−3.17324	−	0.665914i	−0.172093	−	0.0361143i
$341$		−	4.83202i		−	0.261668i
$342$	1.79759	−	12.1732i	0.0972028	−	0.658252i
$343$	14.0871	−	14.0871i	0.760629	−	0.760629i
$344$	−0.326996	−	1.85449i	−0.0176304	−	0.0999872i
$345$	−14.3434	+	28.3316i	−0.772225	+	1.52532i
$346$	−4.46025	+	1.62340i	−0.239785	+	0.0872745i
$347$	−5.63123	−	12.0762i	−0.302300	−	0.648285i	0.695210	−	0.718807i	$-0.255311\pi$
$347$	−5.63123	−	12.0762i	−0.302300	−	0.648285i	−0.997510	+	0.0705217i	$0.977534\pi$
$348$	21.7124	−	1.89959i	1.16390	−	0.101828i
$349$	−14.8650	−	8.58233i	−0.795707	−	0.459401i	0.0462610	−	0.998929i	$-0.485269\pi$
$349$	−14.8650	−	8.58233i	−0.795707	−	0.459401i	−0.841968	+	0.539528i	$0.818603\pi$
$350$	−4.32314	−	1.05414i	−0.231082	−	0.0563464i
$351$	−7.12749	+	40.4220i	−0.380437	+	2.15757i
$352$	−1.28693	−	1.83793i	−0.0685937	−	0.0979620i
$353$	11.2432	+	3.01262i	0.598417	+	0.160345i	0.545297	−	0.838243i	$-0.316417\pi$
$353$	11.2432	+	3.01262i	0.598417	+	0.160345i	0.0531199	+	0.998588i	$0.483083\pi$
$354$	1.20492	−	2.08699i	0.0640409	−	0.110922i
$355$	1.71964	−	5.67719i	0.0912689	−	0.301314i
$356$	−0.180705	+	0.496484i	−0.00957737	+	0.0263136i
$357$	−2.03829	+	4.37113i	−0.107878	+	0.231345i
$358$	0.162683	−	1.85947i	0.00859804	−	0.0982761i
$359$	−20.8766	+	3.68111i	−1.10183	+	0.194282i	−0.694848	−	0.719156i	$-0.744528\pi$
$359$	−20.8766	+	3.68111i	−1.10183	+	0.194282i	−0.406978	+	0.913438i	$0.633417\pi$
$360$	−8.91605	+	22.2335i	−0.469917	+	1.17181i
$361$	−5.49164	+	18.1891i	−0.289034	+	0.957319i
$362$	0.606448	+	0.606448i	0.0318742	+	0.0318742i
$363$	−18.7755	+	26.8141i	−0.985456	+	1.40738i
$364$	11.2897	−	9.47316i	0.591740	−	0.496529i
$365$	−0.0285806	+	0.884028i	−0.00149598	+	0.0462722i
$366$	4.55304	+	1.65717i	0.237991	+	0.0866218i
$367$	−0.0284950	−	0.325699i	−0.00148743	−	0.0170014i	0.995415	−	0.0956532i	$-0.0304940\pi$
$367$	−0.0284950	−	0.325699i	−0.00148743	−	0.0170014i	−0.996902	+	0.0786519i	$0.974938\pi$
$368$	−3.40050	−	12.6908i	−0.177263	−	0.661556i
$369$	23.4961	+	40.6964i	1.22316	+	2.11857i
$370$	−6.25527	+	1.46120i	−0.325196	+	0.0759643i
$371$	13.9028	+	2.45144i	0.721797	+	0.127272i
$372$	14.3207	−	53.4454i	0.742491	−	2.77102i
$373$	−13.8768	+	3.71828i	−0.718515	+	0.192525i	−0.599509	−	0.800368i	$-0.704637\pi$
$373$	−13.8768	+	3.71828i	−0.718515	+	0.192525i	−0.119006	+	0.992894i	$0.537971\pi$
$374$	−0.133509	−	0.112027i	−0.00690358	−	0.00579279i
$375$	33.8690	−	2.63273i	1.74899	−	0.135953i
$376$	−5.46549	−	15.0163i	−0.281861	−	0.774407i
$377$	−16.6390	−	1.45572i	−0.856951	−	0.0749735i
$378$	7.15987	+	5.01340i	0.368264	+	0.257861i
$379$	−9.33155			−0.479330			−0.239665	−	0.970856i	$-0.577038\pi$
$379$	−9.33155			−0.479330			−0.239665	+	0.970856i	$0.577038\pi$
$380$	8.81338	−	15.1115i	0.452117	−	0.775202i
$381$	−30.5365			−1.56443
$382$	−3.81496	−	2.67127i	−0.195191	−	0.136674i
$383$	−7.77191	−	0.679954i	−0.397126	−	0.0347440i	−0.113156	−	0.993577i	$-0.536096\pi$
$383$	−7.77191	−	0.679954i	−0.397126	−	0.0347440i	−0.283970	+	0.958833i	$0.591652\pi$
$384$	−11.4337	−	31.4140i	−0.583476	−	1.60309i
$385$	1.55853	+	1.39602i	0.0794301	+	0.0711478i
$386$	0.639086	+	0.536257i	0.0325286	+	0.0272948i
$387$	6.59495	−	1.76711i	0.335240	−	0.0898273i
$388$	1.92186	−	7.17247i	0.0975675	−	0.364127i
$389$	−5.11375	−	0.901692i	−0.259277	−	0.0457176i	0.0424983	−	0.999097i	$-0.486468\pi$
$389$	−5.11375	−	0.901692i	−0.259277	−	0.0457176i	−0.301776	+	0.953379i	$0.597579\pi$
$390$	6.78744	−	10.9250i	0.343695	−	0.553208i
$391$	−1.88800	−	3.27012i	−0.0954805	−	0.165377i
$392$	1.39683	+	5.21305i	0.0705506	+	0.263299i
$393$	3.11894	+	35.6496i	0.157330	+	1.79828i
$394$	2.88952	+	1.05170i	0.145572	+	0.0529838i
$395$	−7.49183	+	7.02258i	−0.376955	+	0.353344i
$396$	4.08098	−	3.42435i	0.205077	−	0.172080i
$397$	4.72039	−	6.74142i	0.236910	−	0.338342i	−0.683038	−	0.730383i	$-0.739342\pi$
$397$	4.72039	−	6.74142i	0.236910	−	0.338342i	0.919948	+	0.392040i	$0.128231\pi$
$398$	4.46270	+	4.46270i	0.223695	+	0.223695i
$399$	−18.9069	−	17.8794i	−0.946529	−	0.895090i
$400$	−9.71112	+	10.1609i	−0.485556	+	0.508044i
$401$	1.97650	−	0.348511i	0.0987019	−	0.0174038i	−0.124079	−	0.992272i	$-0.539598\pi$
$401$	1.97650	−	0.348511i	0.0987019	−	0.0174038i	0.222781	+	0.974869i	$0.428487\pi$
$402$	−0.364517	+	4.16644i	−0.0181804	+	0.207803i
$403$	−17.9199	+	38.4293i	−0.892652	+	1.91430i
$404$	6.08534	−	16.7193i	0.302757	−	0.831818i
$405$	−23.8505	−	7.22438i	−1.18514	−	0.358982i
$406$	−1.77839	+	3.08026i	−0.0882600	+	0.152871i
$407$	2.91755	+	0.781755i	0.144617	+	0.0387501i
$408$	−2.42022	−	3.45643i	−0.119819	−	0.171119i
$409$	2.66460	−	15.1117i	0.131756	−	0.747224i	−0.845308	−	0.534279i	$-0.820583\pi$
$409$	2.66460	−	15.1117i	0.131756	−	0.747224i	0.977064	−	0.212945i	$-0.0683056\pi$
$410$	−1.08243	−	7.55991i	−0.0534576	−	0.373357i
$411$	49.4352	+	28.5414i	2.43846	+	1.40784i
$412$	−30.6628	+	2.68264i	−1.51065	+	0.132164i
$413$	−1.45388	−	3.11785i	−0.0715406	−	0.153419i
$414$	−12.3987	+	4.51277i	−0.609364	+	0.221791i
$415$	−5.48143	−	16.7227i	−0.269073	−	0.820886i
$416$	3.41895	+	19.3898i	0.167628	+	0.950663i
$417$	22.4009	−	22.4009i	1.09698	−	1.09698i
$418$	0.800902	−	0.492717i	0.0391734	−	0.0240996i
$419$			5.33874i			0.260814i	0.991461	+	0.130407i	$0.0416284\pi$
$419$			5.33874i			0.260814i	−0.991461	+	0.130407i	$0.958372\pi$
$420$	13.1010	+	20.0600i	0.639265	+	0.978826i
$421$	6.17855	+	7.36331i	0.301124	+	0.358866i	0.895295	−	0.445473i	$-0.146964\pi$
$421$	6.17855	+	7.36331i	0.301124	+	0.358866i	−0.594171	+	0.804338i	$0.702520\pi$
$422$	4.52961	+	2.11219i	0.220498	+	0.102820i
$423$	52.5108	−	24.4862i	2.55316	−	1.19056i
$424$	−7.93897	+	9.46129i	−0.385550	+	0.459481i
$425$	−1.94006	+	3.54308i	−0.0941067	+	0.171865i
$426$	3.16198	−	1.82557i	0.153198	−	0.0884491i
$427$	5.66592	−	3.96732i	0.274193	−	0.191992i
$428$	−1.54480	+	1.08168i	−0.0746707	+	0.0522850i
$429$	−5.23748	+	3.02386i	−0.252868	+	0.145993i
$430$	−1.10167	−	0.132375i	−0.0531274	−	0.00638371i
$431$	1.69479	−	2.01978i	0.0816354	−	0.0972892i	−0.723681	−	0.690135i	$-0.757551\pi$
$431$	1.69479	−	2.01978i	0.0816354	−	0.0972892i	0.805316	+	0.592846i	$0.201996\pi$
$432$	25.0215	−	11.6677i	1.20385	−	0.561363i
$433$	−18.5804	−	8.66419i	−0.892918	−	0.416375i	−0.0786761	−	0.996900i	$-0.525069\pi$
$433$	−18.5804	−	8.66419i	−0.892918	−	0.416375i	−0.814242	+	0.580526i	$0.802847\pi$
$434$	5.80401	+	6.91695i	0.278601	+	0.332024i
$435$	5.57678	−	26.5747i	0.267386	−	1.27416i
$436$			15.1110i			0.723684i
$437$	19.9569	−	4.09655i	0.954670	−	0.195965i
$438$	−0.384956	+	0.384956i	−0.0183939	+	0.0183939i
$439$	−6.25393	−	35.4678i	−0.298484	−	1.69279i	−0.652696	−	0.757620i	$-0.726362\pi$
$439$	−6.25393	−	35.4678i	−0.298484	−	1.69279i	0.354212	−	0.935165i	$-0.384749\pi$
$440$	−1.73948	+	0.570171i	−0.0829262	+	0.0271818i
$441$	−18.3878	+	6.69259i	−0.875607	+	0.318695i
$442$	0.646341	+	1.38608i	0.0307433	+	0.0659293i
$443$	21.6260	−	1.89203i	1.02748	−	0.0898931i	0.439069	−	0.898453i	$-0.355308\pi$
$443$	21.6260	−	1.89203i	1.02748	−	0.0898931i	0.588414	+	0.808560i	$0.299753\pi$
$444$	29.9532	+	17.2935i	1.42152	+	0.820712i
$445$	0.526715	+	0.394775i	0.0249687	+	0.0187141i
$446$	−0.0164512	+	0.0932993i	−0.000778986	+	0.00441785i
$447$	39.5646	+	56.5041i	1.87134	+	2.67255i
$448$	−6.61978	−	1.77377i	−0.312755	−	0.0838025i
$449$	−4.13533	+	7.16260i	−0.195158	+	0.338024i	−0.946952	−	0.321374i	$-0.895855\pi$
$449$	−4.13533	+	7.16260i	−0.195158	+	0.338024i	0.751794	+	0.659398i	$0.229189\pi$
$450$	11.0153	+	8.82599i	0.519265	+	0.416061i
$451$	−1.22819	+	3.37443i	−0.0578333	+	0.158896i
$452$	−8.27972	+	17.7559i	−0.389445	+	0.835168i
$453$	0.898795	−	10.2733i	0.0422291	−	0.482680i
$454$	−8.41356	+	1.48354i	−0.394868	+	0.0696259i
$455$	−7.21783	−	16.8825i	−0.338377	−	0.791466i
$456$	21.8172	−	6.50396i	1.02168	−	0.304576i
$457$	−11.1032	−	11.1032i	−0.519384	−	0.519384i	0.398001	−	0.917385i	$-0.369704\pi$
$457$	−11.1032	−	11.1032i	−0.519384	−	0.519384i	−0.917385	+	0.398001i	$0.869704\pi$
$458$	−0.473688	+	0.676497i	−0.0221340	+	0.0316106i
$459$	6.07823	−	5.10024i	0.283708	−	0.238059i
$460$	−18.7482	−	0.606129i	−0.874139	−	0.0282609i
$461$	−20.8249	−	7.57966i	−0.969914	−	0.353020i	−0.192003	−	0.981394i	$-0.561498\pi$
$461$	−20.8249	−	7.57966i	−0.969914	−	0.353020i	−0.777911	+	0.628374i	$0.783721\pi$
$462$	0.112244	+	1.28295i	0.00522205	+	0.0596883i
$463$	−1.71716	−	6.40852i	−0.0798031	−	0.297829i	0.914476	−	0.404639i	$-0.132603\pi$
$463$	−1.71716	−	6.40852i	−0.0798031	−	0.297829i	−0.994279	+	0.106810i	$0.965936\pi$
$464$	5.61724	+	9.72935i	0.260774	+	0.451674i
$465$	−58.5532	−	36.3777i	−2.71534	−	1.68698i
$466$	−8.07516	−	1.42387i	−0.374074	−	0.0659594i
$467$	−9.78057	+	36.5016i	−0.452591	+	1.68909i	0.242485	+	0.970155i	$0.422037\pi$
$467$	−9.78057	+	36.5016i	−0.452591	+	1.68909i	−0.695076	+	0.718936i	$0.744629\pi$
$468$	−45.1557	+	12.0994i	−2.08732	+	0.559296i
$469$	4.57368	+	3.83777i	0.211193	+	0.177212i
$470$	−9.40189	+	0.517133i	−0.433677	+	0.0238536i
$471$	−12.8420	−	35.2831i	−0.591728	−	1.62576i
$472$	2.99826	+	0.262314i	0.138006	+	0.0120740i
$473$	0.427387	+	0.299260i	0.0196513	+	0.0137600i
$474$	−6.32040			−0.290306
$475$	−14.8350	−	15.9663i	−0.680676	−	0.732585i
$476$	−2.84895			−0.130581
$477$	−36.6823	−	25.6852i	−1.67957	−	1.17604i
$478$	13.6259	+	1.19211i	0.623235	+	0.0545260i
$479$	−4.30184	−	11.8192i	−0.196556	−	0.540033i	0.801785	−	0.597613i	$-0.203884\pi$
$479$	−4.30184	−	11.8192i	−0.196556	−	0.540033i	−0.998341	+	0.0575797i	$0.981662\pi$
$480$	−31.9602	+	1.75791i	−1.45878	+	0.0802372i
$481$	−20.3042	−	17.0372i	−0.925792	−	0.776832i
$482$	10.0440	−	2.69128i	0.457492	−	0.122585i
$483$	−7.22170	+	26.9517i	−0.328599	+	1.22635i
$484$	−19.0422	−	3.35766i	−0.865555	−	0.152621i
$485$	−7.85794	−	4.88195i	−0.356810	−	0.221678i
$486$	−0.996369	−	1.72576i	−0.0451962	−	0.0782822i
$487$	−6.63552	−	24.7641i	−0.300684	−	1.12217i	−0.936597	−	0.350408i	$-0.886043\pi$
$487$	−6.63552	−	24.7641i	−0.300684	−	1.12217i	0.635913	−	0.771761i	$-0.280624\pi$
$488$	0.527410	+	6.02832i	0.0238747	+	0.272889i
$489$	−2.27800	−	0.829124i	−0.103015	−	0.0374943i
$490$	3.17844	+	0.102759i	0.143587	+	0.00464218i
$491$	26.2335	−	22.0125i	1.18390	−	0.993410i	0.183955	−	0.982935i	$-0.441110\pi$
$491$	26.2335	−	22.0125i	1.18390	−	0.993410i	0.999945	−	0.0104757i	$-0.00333458\pi$
$492$	−23.5855	+	33.6835i	−1.06331	+	1.51857i
$493$	2.28310	+	2.28310i	0.102826	+	0.102826i
$494$	−8.19688	+	0.948404i	−0.368795	+	0.0426707i
$495$	−2.60910	−	6.10269i	−0.117270	−	0.274295i
$496$	28.0872	−	4.95253i	1.26115	−	0.222375i
$497$	0.454270	−	5.19233i	0.0203768	−	0.232908i
$498$	4.57772	−	9.81695i	0.205132	−	0.439908i
$499$	9.81630	−	26.9701i	0.439438	−	1.20735i	−0.500421	−	0.865782i	$-0.666821\pi$
$499$	9.81630	−	26.9701i	0.439438	−	1.20735i	0.939859	−	0.341563i	$-0.110956\pi$
$500$	9.86451	+	17.4747i	0.441154	+	0.781493i
$501$	−19.8794	+	34.4321i	−0.888144	+	1.53831i
$502$	1.53081	+	0.410179i	0.0683233	+	0.0183072i
$503$	−6.16974	−	8.81131i	−0.275095	−	0.392877i	0.657702	−	0.753278i	$-0.271529\pi$
$503$	−6.16974	−	8.81131i	−0.275095	−	0.392877i	−0.932797	+	0.360401i	$0.882640\pi$
$504$	−3.65496	+	20.7283i	−0.162805	+	0.923312i
$505$	−17.7374	−	13.2942i	−0.789303	−	0.591586i
$506$	−0.873196	−	0.504140i	−0.0388183	−	0.0224118i
$507$	13.5182	−	1.18269i	0.600366	−	0.0525252i
$508$	−7.62315	−	16.3479i	−0.338222	−	0.725320i
$509$	25.8598	−	9.41220i	1.14622	−	0.417188i	0.302061	−	0.953288i	$-0.402325\pi$
$509$	25.8598	−	9.41220i	1.14622	−	0.417188i	0.844154	+	0.536100i	$0.180103\pi$
$510$	−2.36263	+	0.774432i	−0.104619	+	0.0342924i
$511$	0.134954	+	0.765364i	0.00597003	+	0.0338577i
$512$	16.1978	−	16.1978i	0.715846	−	0.715846i
$513$	15.7594	+	39.8038i	0.695795	+	1.75738i
$514$		−	1.91472i		−	0.0844547i
$515$	−7.87567	+	37.5294i	−0.347044	+	1.65374i
$516$	3.84028	+	4.57667i	0.169059	+	0.201476i
$517$	4.01271	+	1.87116i	0.176479	+	0.0822935i
$518$	−5.11543	+	2.38536i	−0.224759	+	0.104807i
$519$	20.4660	−	24.3905i	0.898360	−	1.07062i
$520$	15.9486	+	1.91637i	0.699394	+	0.0840382i
$521$	29.9147	−	17.2713i	1.31059	−	0.756669i	0.328395	−	0.944540i	$-0.393492\pi$
$521$	29.9147	−	17.2713i	1.31059	−	0.756669i	0.982194	+	0.187871i	$0.0601588\pi$
$522$	9.24192	−	6.47127i	0.404508	−	0.283240i
$523$	−27.1041	+	18.9785i	−1.18518	+	0.829870i	−0.988592	−	0.150616i	$-0.951874\pi$
$523$	−27.1041	+	18.9785i	−1.18518	+	0.829870i	−0.196585	+	0.980487i	$0.562985\pi$
$524$	−18.3066	+	10.5693i	−0.799728	+	0.461723i
$525$	28.6500	−	8.37597i	1.25039	−	0.365557i
$526$	−5.12870	+	6.11214i	−0.223622	+	0.266502i
$527$	7.42880	−	3.46411i	0.323604	−	0.150899i
$528$	3.68670	+	1.71914i	0.160443	+	0.0748158i
$529$	0.742222	+	0.884546i	0.0322705	+	0.0384585i
$530$	3.97946	+	6.09326i	0.172857	+	0.264674i
$531$			10.9124i			0.473558i
$532$	4.85191	−	14.5853i	0.210357	−	0.632355i
$533$	22.2822	−	22.2822i	0.965148	−	0.965148i
$534$	0.0703535	+	0.398995i	0.00304449	+	0.0172662i
$535$	0.731808	+	2.23260i	0.0316388	+	0.0965236i
$536$	−4.90844	+	1.78653i	−0.212012	+	0.0771661i
$537$	5.29159	+	11.3478i	0.228349	+	0.489696i
$538$	−5.89509	+	0.515753i	−0.254155	+	0.0222357i
$539$	−1.29498	−	0.747657i	−0.0557787	−	0.0322039i
$540$	−5.58669	−	39.0184i	−0.240413	−	1.67909i
$541$	−5.47144	+	31.0301i	−0.235235	+	1.33409i	0.606882	+	0.794792i	$0.292420\pi$
$541$	−5.47144	+	31.0301i	−0.235235	+	1.33409i	−0.842117	+	0.539294i	$0.818691\pi$
$542$	−3.61921	−	5.16876i	−0.155458	−	0.222017i
$543$	−5.55706	−	1.48901i	−0.238476	−	0.0638995i
$544$	1.90304	−	3.29617i	0.0815924	−	0.141322i
$545$	18.0175	+	5.45755i	0.771784	+	0.233776i
$546$	3.86523	−	10.6196i	0.165417	−	0.454478i
$547$	−14.6492	+	31.4152i	−0.626352	+	1.34322i	0.295376	+	0.955381i	$0.404555\pi$
$547$	−14.6492	+	31.4152i	−0.626352	+	1.34322i	−0.921728	+	0.387836i	$0.873223\pi$
$548$	−2.93879	+	33.5905i	−0.125539	+	1.43491i
$549$	−21.6072	+	3.80994i	−0.922173	+	0.162604i
$550$	0.0244062	+	1.07835i	0.00104068	+	0.0459811i
$551$	−15.5767	+	7.80020i	−0.663589	+	0.332300i
$552$	−17.2613	−	17.2613i	−0.734690	−	0.734690i
$553$	−5.17519	+	7.39093i	−0.220071	+	0.314294i
$554$	5.67119	−	4.75869i	0.240946	−	0.202177i
$555$	31.4378	−	29.4687i	1.33446	−	1.25088i
$556$	17.5846	+	6.40029i	0.745755	+	0.271433i
$557$	−1.53414	−	17.5353i	−0.0650037	−	0.742996i	−0.956836	−	0.290629i	$-0.906135\pi$
$557$	−1.53414	−	17.5353i	−0.0650037	−	0.742996i	0.891832	−	0.452367i	$-0.149420\pi$
$558$	−7.41307	−	27.6659i	−0.313820	−	1.17119i
$559$	−2.28921	−	3.96502i	−0.0968231	−	0.167703i
$560$	−6.51729	+	10.4902i	−0.275406	+	0.443290i
$561$	1.15133	+	0.203011i	0.0486092	+	0.00857111i
$562$	−3.39128	+	12.6564i	−0.143053	+	0.533879i
$563$	30.4542	−	8.16017i	1.28349	−	0.343910i	0.448306	−	0.893880i	$-0.352027\pi$
$563$	30.4542	−	8.16017i	1.28349	−	0.343910i	0.835184	+	0.549970i	$0.185361\pi$
$564$	38.8378	+	32.5888i	1.63537	+	1.37223i
$565$	18.1808	+	16.2851i	0.764872	+	0.685118i
$566$	2.97254	+	8.16699i	0.124945	+	0.343284i
$567$	−21.8135	−	1.90844i	−0.916083	−	0.0801469i
$568$	3.73533	+	2.61551i	0.156731	+	0.109744i
$569$	1.63769			0.0686556			0.0343278	−	0.999411i	$-0.489071\pi$
$569$	1.63769			0.0686556			0.0343278	+	0.999411i	$0.489071\pi$
$570$	0.0589498	−	13.4145i	0.00246914	−	0.561873i
$571$	24.8017			1.03792			0.518959	−	0.854799i	$-0.326320\pi$
$571$	24.8017			1.03792			0.518959	+	0.854799i	$0.326320\pi$
$572$	−2.92633	−	2.04904i	−0.122356	−	0.0856745i
$573$	31.1217	+	2.72279i	1.30013	+	0.113746i
$574$	−2.29508	−	6.30569i	−0.0957949	−	0.263194i
$575$	−7.49389	+	22.1354i	−0.312517	+	0.923108i
$576$	16.6531	+	13.9736i	0.693879	+	0.582234i
$577$	41.7607	−	11.1898i	1.73852	−	0.465835i	0.756404	−	0.654104i	$-0.226954\pi$
$577$	41.7607	−	11.1898i	1.73852	−	0.465835i	0.982118	+	0.188269i	$0.0602877\pi$
$578$	−1.91648	+	7.15242i	−0.0797152	+	0.297501i
$579$	−5.51125	−	0.971781i	−0.229040	−	0.0403858i
$580$	15.6191	−	3.64855i	0.648547	−	0.151498i
$581$	−7.73145	−	13.3913i	−0.320755	−	0.555563i
$582$	−1.47373	−	5.50002i	−0.0610880	−	0.227983i
$583$	−0.298248	−	3.40899i	−0.0123522	−	0.141186i
$584$	−0.638923	−	0.232549i	−0.0264388	−	0.00962294i
$585$	−1.88196	+	58.2110i	−0.0778095	+	2.40673i
$586$	−0.974129	+	0.817392i	−0.0402409	+	0.0337661i
$587$	16.0679	−	22.9473i	0.663193	−	0.947138i	−0.336792	−	0.941579i	$-0.609342\pi$
$587$	16.0679	−	22.9473i	0.663193	−	0.947138i	0.999985	−	0.00555837i	$-0.00176929\pi$
$588$	−12.1075	−	12.1075i	−0.499306	−	0.499306i
$589$	5.08303	+	43.9317i	0.209443	+	1.81018i
$590$	0.660088	−	1.64603i	0.0271754	−	0.0677659i
$591$	−20.3134	+	3.58181i	−0.835583	+	0.147336i
$592$	−1.55381	+	17.7602i	−0.0638613	+	0.729938i
$593$	17.5629	−	37.6638i	0.721223	−	1.54667i	−0.111985	−	0.993710i	$-0.535721\pi$
$593$	17.5629	−	37.6638i	0.721223	−	1.54667i	0.833209	−	0.552959i	$-0.186501\pi$
$594$	0.724641	−	1.99094i	0.0297324	−	0.0816891i
$595$	−1.02894	+	3.39692i	−0.0421824	+	0.139260i
$596$	−20.3729	+	35.2868i	−0.834505	+	1.44540i
$597$	−40.8930	−	10.9573i	−1.67364	−	0.448451i
$598$	5.07493	+	7.24775i	0.207529	+	0.296383i
$599$	−6.78798	+	38.4965i	−0.277349	+	1.57293i	0.454050	+	0.890976i	$0.349979\pi$
$599$	−6.78798	+	38.4965i	−0.277349	+	1.57293i	−0.731399	+	0.681949i	$0.761132\pi$
$600$	−6.18641	+	25.3710i	−0.252559	+	1.03577i
$601$	−10.8442	−	6.26090i	−0.442344	−	0.255388i	0.262247	−	0.965001i	$-0.415536\pi$
$601$	−10.8442	−	6.26090i	−0.442344	−	0.255388i	−0.704592	+	0.709613i	$0.748870\pi$
$602$	−0.971255	+	0.0849738i	−0.0395854	+	0.00346327i
$603$	−8.00389	−	17.1644i	−0.325943	−	0.698988i
$604$	5.72423	−	2.08345i	0.232916	−	0.0847743i
$605$	−10.8809	+	21.4922i	−0.442370	+	0.873782i
$606$	−2.36919	−	13.4363i	−0.0962417	−	0.545814i
$607$	−4.99686	+	4.99686i	−0.202816	+	0.202816i	−0.801206	−	0.598389i	$-0.795808\pi$
$607$	−4.99686	+	4.99686i	−0.202816	+	0.202816i	0.598389	+	0.801206i	$0.295808\pi$
$608$	13.6339	+	15.3563i	0.552929	+	0.622780i
$609$		−	23.8588i		−	0.966809i
$610$	3.48969	+	0.732324i	0.141294	+	0.0296509i
$611$	−24.9740	−	29.7628i	−1.01034	−	1.20407i
$612$	8.19033	+	3.81921i	0.331074	+	0.154382i
$613$	41.0827	−	19.1572i	1.65931	−	0.773750i	0.659557	−	0.751655i	$-0.270744\pi$
$613$	41.0827	−	19.1572i	1.65931	−	0.773750i	0.999756	−	0.0220954i	$-0.00703377\pi$
$614$	−2.77229	+	3.30388i	−0.111880	+	0.133334i
$615$	31.6441	+	40.2873i	1.27601	+	1.62454i
$616$	−1.39294	+	0.804215i	−0.0561232	+	0.0324027i
$617$	−0.737938	+	0.516710i	−0.0297083	+	0.0208019i	−0.588336	−	0.808616i	$-0.700217\pi$
$617$	−0.737938	+	0.516710i	−0.0297083	+	0.0208019i	0.558628	+	0.829418i	$0.311328\pi$
$618$	−19.3343	+	13.5380i	−0.777738	+	0.544578i
$619$	14.0597	−	8.11739i	0.565108	−	0.326266i	−0.190085	−	0.981768i	$-0.560876\pi$
$619$	14.0597	−	8.11739i	0.565108	−	0.326266i	0.755193	+	0.655502i	$0.227543\pi$
$620$	4.85778	−	40.4281i	0.195093	−	1.62363i
$621$	29.5064	−	35.1643i	1.18405	−	1.41110i
$622$	9.83122	−	4.58437i	0.394196	−	0.183817i
$623$	0.524181	+	0.244430i	0.0210009	+	0.00979287i
$624$	−22.9450	−	27.3447i	−0.918534	−	1.09467i
$625$	24.3986	−	5.45064i	0.975943	−	0.218026i
$626$			3.80431i			0.152051i
$627$	−3.00010	+	5.54856i	−0.119813	+	0.221588i
$628$	15.6831	−	15.6831i	0.625825	−	0.625825i
$629$	0.889732	+	5.04592i	0.0354759	+	0.201194i
$630$	11.0652	+	5.60196i	0.440846	+	0.223187i
$631$	−28.4762	+	10.3645i	−1.13362	+	0.412603i	−0.839604	−	0.543198i	$-0.817213\pi$
$631$	−28.4762	+	10.3645i	−1.13362	+	0.412603i	−0.294013	+	0.955801i	$0.594991\pi$
$632$	−3.33602	−	7.15412i	−0.132700	−	0.284576i
$633$	−33.3981	+	2.92196i	−1.32746	+	0.116137i
$634$	−1.35439	−	0.781955i	−0.0537896	−	0.0310554i
$635$	−22.2455	+	3.18513i	−0.882786	+	0.126398i
$636$	6.80440	−	38.5897i	0.269812	−	1.53018i
$637$	7.52630	+	10.7487i	0.298203	+	0.425878i
$638$	0.832782	+	0.223143i	0.0329702	+	0.00883433i
$639$	−8.26665	+	14.3183i	−0.327024	+	0.566422i
$640$	−11.6060	−	21.6921i	−0.458768	−	0.857456i
$641$	−10.4710	+	28.7688i	−0.413580	+	1.13630i	0.541694	+	0.840576i	$0.317783\pi$
$641$	−10.4710	+	28.7688i	−0.413580	+	1.13630i	−0.955273	+	0.295725i	$0.904439\pi$
$642$	−0.611156	+	1.31063i	−0.0241204	+	0.0517264i
$643$	−0.116664	+	1.33347i	−0.00460077	+	0.0525870i	−0.998148	−	0.0608319i	$-0.980625\pi$
$643$	−0.116664	+	1.33347i	−0.00460077	+	0.0525870i	0.993547	+	0.113419i	$0.0361802\pi$
$644$	−16.2316	+	2.86207i	−0.639614	+	0.112781i
$645$	6.84393	−	2.92600i	0.269479	−	0.115211i
$646$	1.33168	+	0.878084i	0.0523943	+	0.0345478i
$647$	−3.23855	−	3.23855i	−0.127320	−	0.127320i	0.640575	−	0.767896i	$-0.278696\pi$
$647$	−3.23855	−	3.23855i	−0.127320	−	0.127320i	−0.767896	+	0.640575i	$0.778696\pi$
$648$	10.9880	−	15.6925i	0.431650	−	0.616460i
$649$	−0.638799	+	0.536016i	−0.0250751	+	0.0210405i
$650$	3.80504	−	8.66670i	0.149246	−	0.339936i
$651$	−56.9166	−	20.7160i	−2.23074	−	0.811922i
$652$	−0.124804	−	1.42652i	−0.00488772	−	0.0558669i
$653$	0.186959	+	0.697739i	0.00731626	+	0.0273047i	0.969487	−	0.245141i	$-0.0788342\pi$
$653$	0.186959	+	0.697739i	0.00731626	+	0.0273047i	−0.962171	+	0.272446i	$0.912168\pi$
$654$	5.79373	+	10.0350i	0.226553	+	0.392401i
$655$	5.99056	+	25.6450i	0.234071	+	1.00203i
$656$	−20.8735	−	3.68056i	−0.814972	−	0.143702i
$657$	0.638049	−	2.38123i	0.0248927	−	0.0929006i
$658$	−7.99168	+	2.14136i	−0.311548	+	0.0834791i
$659$	1.32005	+	1.10766i	0.0514220	+	0.0431482i	0.668136	−	0.744039i	$-0.267092\pi$
$659$	1.32005	+	1.10766i	0.0514220	+	0.0431482i	−0.616714	+	0.787187i	$0.711537\pi$
$660$	3.87490	−	4.32598i	0.150830	−	0.168388i
$661$	−12.2612	−	33.6874i	−0.476905	−	1.31029i	−0.912106	−	0.409954i	$-0.865545\pi$
$661$	−12.2612	−	33.6874i	−0.476905	−	1.31029i	0.435201	−	0.900333i	$-0.356677\pi$
$662$	7.22603	+	0.632196i	0.280848	+	0.0245710i
$663$	−8.40370	−	5.88434i	−0.326373	−	0.228529i
$664$	13.5281			0.524992
$665$	−15.6384	−	11.0529i	−0.606431	−	0.428611i
$666$	17.9039			0.693762
$667$	15.3013	+	10.7141i	0.592470	+	0.414852i
$668$	−23.3961	−	2.04689i	−0.905222	−	0.0791966i
$669$	−0.217356	−	0.597180i	−0.00840346	−	0.0230883i
$670$	0.169037	+	3.07323i	0.00653047	+	0.118729i
$671$	−1.28437	−	1.07772i	−0.0495826	−	0.0416048i
$672$	−27.1664	+	7.27922i	−1.04797	+	0.280802i
$673$	−3.39184	+	12.6585i	−0.130746	+	0.487950i	−0.999979	−	0.00645186i	$-0.997946\pi$
$673$	−3.39184	+	12.6585i	−0.130746	+	0.487950i	0.869233	+	0.494402i	$0.164613\pi$
$674$	−8.21813	−	1.44908i	−0.316551	−	0.0558164i
$675$	−48.5411	−	7.43082i	−1.86835	−	0.286013i
$676$	4.00786	+	6.94182i	0.154148	+	0.266993i
$677$	1.89938	+	7.08859i	0.0729992	+	0.272437i	0.992772	−	0.120014i	$-0.0382940\pi$
$677$	1.89938	+	7.08859i	0.0729992	+	0.272437i	−0.919773	+	0.392451i	$0.871627\pi$
$678$	1.30936	+	14.9661i	0.0502857	+	0.574768i
$679$	−7.63830	−	2.78012i	−0.293131	−	0.106691i
$680$	−2.12363	−	2.26553i	−0.0814375	−	0.0868792i
$681$	43.9011	−	36.8374i	1.68229	−	1.41161i
$682$	1.25540	−	1.79290i	0.0480718	−	0.0686537i
$683$	−29.0355	−	29.0355i	−1.11101	−	1.11101i	−0.993014	−	0.117997i	$-0.962353\pi$
$683$	−29.0355	−	29.0355i	−1.11101	−	1.11101i	−0.117997	−	0.993014i	$-0.537647\pi$
$684$	−33.5012	+	35.4265i	−1.28095	+	1.35457i
$685$	38.9900	+	15.6357i	1.48973	+	0.597411i
$686$	8.88688	−	1.56700i	0.339303	−	0.0598282i
$687$	0.482825	−	5.51872i	0.0184209	−	0.210552i
$688$	−1.30147	+	2.79101i	−0.0496180	+	0.106406i
$689$	−10.2705	+	28.2179i	−0.391274	+	1.07502i
$690$	−12.6829	+	6.78576i	−0.482829	+	0.258330i
$691$	7.26116	−	12.5767i	0.276228	−	0.478440i	−0.694217	−	0.719766i	$-0.744249\pi$
$691$	7.26116	−	12.5767i	0.276228	−	0.478440i	0.970444	+	0.241326i	$0.0775823\pi$
$692$	18.1667	+	4.86776i	0.690595	+	0.185044i
$693$	−3.34494	−	4.77707i	−0.127064	−	0.181466i
$694$	1.04806	−	5.94387i	0.0397840	−	0.225626i
$695$	13.9823	−	18.6554i	0.530378	−	0.707639i
$696$	18.0770	+	10.4368i	0.685206	+	0.395604i
$697$	−6.06839	+	0.530916i	−0.229857	+	0.0201099i
$698$	−3.28584	−	7.04650i	−0.124371	−	0.266714i
$699$	51.6866	−	18.8124i	1.95497	−	0.711550i
$700$	11.6363	+	13.2470i	0.439812	+	0.500688i
$701$	6.45153	+	36.5885i	0.243671	+	1.38193i	0.823559	+	0.567231i	$0.191985\pi$
$701$	6.45153	+	36.5885i	0.243671	+	1.38193i	−0.579888	+	0.814696i	$0.696904\pi$
$702$	−13.1466	+	13.1466i	−0.496187	+	0.496187i
$703$	−27.3481	−	4.03845i	−1.03145	−	0.152313i
$704$			1.66123i			0.0626101i
$705$	52.8838	−	34.5381i	1.99172	−	1.30078i
$706$	3.38905	+	4.03891i	0.127549	+	0.152006i
$707$	−17.6521	−	8.23129i	−0.663874	−	0.309569i
$708$	−8.65414	+	4.03549i	−0.325243	+	0.151663i
$709$	14.2659	−	17.0015i	0.535768	−	0.638503i	−0.428466	−	0.903558i	$-0.640946\pi$
$709$	14.2659	−	17.0015i	0.535768	−	0.638503i	0.964233	+	0.265055i	$0.0853901\pi$
$710$	2.11305	−	1.65972i	0.0793013	−	0.0622881i
$711$	24.7860	−	14.3102i	0.929548	−	0.536675i
$712$	−0.414492	+	0.290231i	−0.0155338	+	0.0108769i
$713$	38.8448	−	27.1994i	1.45475	−	1.01863i
$714$	−1.89196	+	1.09232i	−0.0708047	+	0.0408791i
$715$	−3.50004	+	2.74915i	−0.130894	+	0.102812i
$716$	−4.75414	+	5.66576i	−0.177670	+	0.211739i
$717$	−83.1553	+	38.7760i	−3.10549	+	1.44812i
$718$	−8.70256	−	4.05807i	−0.324777	−	0.151446i
$719$	−16.1088	−	19.1978i	−0.600758	−	0.715956i	0.376877	−	0.926263i	$-0.376998\pi$
$719$	−16.1088	−	19.1978i	−0.600758	−	0.715956i	−0.977635	+	0.210308i	$0.932553\pi$
$720$	32.7991	−	21.4209i	1.22235	−	0.798308i
$721$			33.6941i			1.25483i
$722$	−6.76333	+	5.32219i	−0.251705	+	0.198072i
$723$	−49.3220	+	49.3220i	−1.83430	+	1.83430i
$724$	−0.590117	−	3.34672i	−0.0219315	−	0.124380i
$725$	1.29074	−	19.9410i	0.0479367	−	0.740591i
$726$	−13.9331	+	5.07124i	−0.517106	+	0.188211i
$727$	8.02156	+	17.2023i	0.297503	+	0.637998i	0.997064	−	0.0765756i	$-0.0243986\pi$
$727$	8.02156	+	17.2023i	0.297503	+	0.637998i	−0.699561	+	0.714573i	$0.746621\pi$
$728$	14.0606	−	1.23014i	0.521121	−	0.0455922i
$729$	−17.3787	−	10.0336i	−0.643656	−	0.371615i
$730$	−0.240283	+	0.320589i	−0.00889328	+	0.0118655i
$731$	−0.153689	+	0.871612i	−0.00568438	+	0.0322377i
$732$	−11.0120	−	15.7268i	−0.407015	−	0.581278i
$733$	−35.7038	−	9.56681i	−1.31875	−	0.353358i	−0.470241	−	0.882538i	$-0.655833\pi$
$733$	−35.7038	−	9.56681i	−1.31875	−	0.353358i	−0.848510	+	0.529180i	$0.822500\pi$
$734$	0.0740466	−	0.128252i	0.00273311	−	0.00473388i
$735$	−18.8091	+	10.0635i	−0.693786	+	0.371199i
$736$	7.53105	−	20.6914i	0.277598	−	0.762695i
$737$	0.611632	−	1.31165i	0.0225298	−	0.0483153i
$738$	−1.85517	+	21.2047i	−0.0682898	+	0.780556i
$739$	−22.2479	+	3.92291i	−0.818404	+	0.144307i	−0.567150	−	0.823615i	$-0.691954\pi$
$739$	−22.2479	+	3.92291i	−0.818404	+	0.144307i	−0.251254	+	0.967921i	$0.580843\pi$
$740$	23.6244	+	9.47382i	0.868449	+	0.348265i
$741$	44.4372	−	33.0019i	1.63244	−	1.21235i
$742$	4.52166	+	4.52166i	0.165996	+	0.165996i
$743$	8.12048	−	11.5972i	0.297912	−	0.425462i	−0.642091	−	0.766628i	$-0.721933\pi$
$743$	8.12048	−	11.5972i	0.297912	−	0.425462i	0.940003	+	0.341166i	$0.110822\pi$
$744$	40.5932	−	34.0617i	1.48822	−	1.24876i
$745$	34.7161	+	37.0358i	1.27190	+	1.35689i
$746$	−6.11498	−	2.22567i	−0.223885	−	0.0814876i
$747$	4.27492	+	48.8626i	0.156411	+	1.78779i
$748$	0.178736	+	0.667051i	0.00653523	+	0.0243898i
$749$	1.03220	+	1.78782i	0.0377158	+	0.0653257i
$750$	13.2509	+	7.82260i	0.483856	+	0.285641i
$751$	−3.03316	−	0.534827i	−0.110681	−	0.0195161i	0.118033	−	0.993010i	$-0.462341\pi$
$751$	−3.03316	−	0.534827i	−0.110681	−	0.0195161i	−0.228715	+	0.973494i	$0.573452\pi$
$752$	−6.76374	+	25.2426i	−0.246648	+	0.920504i
$753$	−10.2687	+	2.75148i	−0.374210	+	0.100269i
$754$	−5.79561	−	4.86309i	−0.211064	−	0.177103i
$755$	−0.416798	−	7.57771i	−0.0151688	−	0.275781i
$756$	−11.8455	−	32.5451i	−0.430815	−	1.18365i
$757$	12.0991	+	1.05854i	0.439750	+	0.0384731i	0.304881	−	0.952390i	$-0.401383\pi$
$757$	12.0991	+	1.05854i	0.439750	+	0.0384731i	0.134869	+	0.990864i	$0.456939\pi$
$758$	−3.46243	−	2.42442i	−0.125761	−	0.0880589i
$759$	6.76353			0.245501
$760$	15.2152	−	7.01372i	0.551912	−	0.254414i
$761$	−42.4931			−1.54037			−0.770187	−	0.637819i	$-0.779837\pi$
$761$	−42.4931			−1.54037			−0.770187	+	0.637819i	$0.779837\pi$
$762$	−11.3304	−	7.93366i	−0.410458	−	0.287406i
$763$	16.4787	+	1.44170i	0.596569	+	0.0521930i
$764$	6.31156	+	17.3409i	0.228344	+	0.627371i
$765$	7.51187	−	8.38632i	0.271592	−	0.303208i
$766$	−2.70708	−	2.27151i	−0.0978106	−	0.0820728i
$767$	7.06825	−	1.89393i	0.255220	−	0.0683859i
$768$	−1.56703	+	5.84824i	−0.0565454	+	0.211030i
$769$	35.2926	+	6.22304i	1.27268	+	0.224408i	0.768871	−	0.639404i	$-0.220819\pi$
$769$	35.2926	+	6.22304i	1.27268	+	0.224408i	0.503813	+	0.863813i	$0.331930\pi$
$770$	0.215587	+	0.922908i	0.00776922	+	0.0332593i
$771$	6.42196	+	11.1232i	0.231281	+	0.400591i
$772$	−0.855581	−	3.19307i	−0.0307930	−	0.114921i
$773$	−0.848094	−	9.69376i	−0.0305038	−	0.348660i	−0.996074	−	0.0885194i	$-0.971786\pi$
$773$	−0.848094	−	9.69376i	−0.0305038	−	0.348660i	0.965571	−	0.260141i	$-0.0837691\pi$
$774$	2.90614	+	1.05775i	0.104459	+	0.0380199i
$775$	−46.4497	−	20.3934i	−1.66852	−	0.732551i
$776$	5.44767	−	4.57114i	0.195560	−	0.164094i
$777$	21.7165	−	31.0144i	0.779076	−	1.11264i
$778$	−1.66317	−	1.66317i	−0.0596274	−	0.0596274i
$779$	7.61675	−	31.9716i	0.272899	−	1.14550i
$780$	−46.8605	+	20.0344i	−1.67787	+	0.717345i
$781$	−1.24423	+	0.219391i	−0.0445220	+	0.00785044i
$782$	0.149071	−	1.70388i	0.00533075	−	0.0609308i
$783$	−16.5884	+	35.5738i	−0.592819	+	1.27131i
$784$	3.01865	−	8.29367i	0.107809	−	0.296202i
$785$	−13.0355	−	24.3639i	−0.465256	−	0.869583i
$786$	−8.10482	+	14.0380i	−0.289089	+	0.500717i
$787$	−29.8799	−	8.00629i	−1.06510	−	0.285393i	−0.316623	−	0.948551i	$-0.602549\pi$
$787$	−29.8799	−	8.00629i	−1.06510	−	0.285393i	−0.748479	+	0.663158i	$0.769216\pi$
$788$	−6.98859	−	9.98075i	−0.248958	−	0.355549i
$789$	9.29400	−	52.7089i	0.330875	−	1.87649i
$790$	−4.60434	+	0.659253i	−0.163815	+	0.0234552i
$791$	18.5731	+	10.7232i	0.660383	+	0.381272i
$792$	5.08262	−	0.444672i	0.180603	−	0.0158007i
$793$	6.21789	+	13.3343i	0.220804	+	0.473515i
$794$	3.50296	−	1.27497i	0.124316	−	0.0452471i
$795$	−43.5546	−	22.0504i	−1.54472	−	0.782047i
$796$	−4.34252	−	24.6277i	−0.153917	−	0.872905i
$797$	−18.1021	+	18.1021i	−0.641208	+	0.641208i	−0.950852	−	0.309644i	$-0.899790\pi$
$797$	−18.1021	+	18.1021i	−0.641208	+	0.641208i	0.309644	+	0.950852i	$0.399790\pi$
$798$	−2.37009	−	11.5463i	−0.0839005	−	0.408733i
$799$			7.51064i			0.265707i
$800$	−23.0993	+	4.61425i	−0.816683	+	0.163138i
$801$	−1.17927	−	1.40540i	−0.0416676	−	0.0496575i
$802$	0.823919	+	0.384200i	0.0290936	+	0.0135666i
$803$	0.170735	−	0.0796151i	0.00602511	−	0.00280956i
$804$	10.6524	−	12.6950i	0.375682	−	0.447720i
$805$	−2.44971	+	20.3873i	−0.0863409	+	0.718558i
$806$	−16.6333	+	9.60327i	−0.585885	+	0.338261i
$807$	32.5165	−	22.7683i	1.14463	−	0.801481i
$808$	13.9582	−	9.77365i	0.491049	−	0.343836i
$809$	23.1968	−	13.3927i	0.815557	−	0.470862i	−0.0333247	−	0.999445i	$-0.510610\pi$
$809$	23.1968	−	13.3927i	0.815557	−	0.470862i	0.848882	+	0.528582i	$0.177276\pi$
$810$	−6.97265	−	8.87714i	−0.244994	−	0.311911i
$811$	−19.0809	+	22.7397i	−0.670020	+	0.798499i	−0.988787	−	0.149334i	$-0.952287\pi$
$811$	−19.0809	+	22.7397i	−0.670020	+	0.798499i	0.318767	+	0.947833i	$0.396731\pi$
$812$	12.7730	−	5.95613i	0.448243	−	0.209019i
$813$	38.3610	+	17.8880i	1.34538	+	0.627361i
$814$	0.879437	+	1.04807i	0.0308242	+	0.0367349i
$815$	−1.74598	−	0.366399i	−0.0611590	−	0.0128344i
$816$			6.90044i			0.241564i
$817$	−4.20053	−	2.27122i	−0.146958	−	0.0794600i
$818$	4.91483	−	4.91483i	0.171843	−	0.171843i
$819$	8.88639	+	50.3972i	0.310516	+	1.76102i
$820$	−13.6684	+	26.9982i	−0.477320	+	0.942817i
$821$	36.7112	−	13.3618i	1.28123	−	0.466329i	0.390390	−	0.920649i	$-0.372340\pi$
$821$	36.7112	−	13.3618i	1.28123	−	0.466329i	0.890838	+	0.454320i	$0.150118\pi$
$822$	10.9274	+	23.4339i	0.381137	+	0.817350i
$823$	−2.29311	+	0.200621i	−0.0799326	+	0.00699320i	−0.127052	−	0.991896i	$-0.540551\pi$
$823$	−2.29311	+	0.200621i	−0.0799326	+	0.00699320i	0.0471193	+	0.998889i	$0.484996\pi$
$824$	−25.5288	−	14.7391i	−0.889338	−	0.513459i
$825$	−3.75857	−	6.18261i	−0.130857	−	0.215251i
$826$	0.270590	−	1.53459i	0.00941505	−	0.0533954i
$827$	−2.29730	−	3.28088i	−0.0798848	−	0.114087i	0.777221	−	0.629228i	$-0.216629\pi$
$827$	−2.29730	−	3.28088i	−0.0798848	−	0.114087i	−0.857106	+	0.515140i	$0.827740\pi$
$828$	50.5004	+	13.5315i	1.75501	+	0.470253i
$829$	−14.2569	+	24.6936i	−0.495161	+	0.857645i	−0.999984	−	0.00557813i	$-0.998224\pi$
$829$	−14.2569	+	24.6936i	−0.495161	+	0.857645i	0.504823	+	0.863223i	$0.331558\pi$
$830$	2.31085	−	7.62902i	0.0802109	−	0.264807i
$831$	−16.9849	+	46.6658i	−0.589201	+	1.61882i
$832$	6.16079	−	13.2119i	0.213587	−	0.458039i
$833$	0.221077	−	2.52692i	0.00765986	−	0.0875526i
$834$	14.1317	−	2.49180i	0.489342	−	0.0862842i
$835$	−10.8904	+	27.1569i	−0.376879	+	0.939803i
$836$	−3.71940	−	0.220977i	−0.128638	−	0.00764264i
$837$	70.4602	+	70.4602i	2.43546	+	2.43546i
$838$	−1.38705	+	1.98091i	−0.0479149	+	0.0684295i
$839$	−5.48743	+	4.60450i	−0.189447	+	0.158965i	−0.732578	−	0.680683i	$-0.761683\pi$
$839$	−5.48743	+	4.60450i	−0.189447	+	0.158965i	0.543131	+	0.839648i	$0.317239\pi$
$840$	−0.741451	+	22.9338i	−0.0255825	+	0.791292i
$841$	12.2419	+	4.45569i	0.422135	+	0.153645i
$842$	0.379470	+	4.33736i	0.0130774	+	0.149475i
$843$	−22.7487	−	84.8993i	−0.783507	−	2.92409i
$844$	−9.90180	−	17.1504i	−0.340834	−	0.590342i
$845$	9.72453	−	2.27161i	0.334534	−	0.0781456i
$846$	25.8456	+	4.55728i	0.888591	+	0.156683i
$847$	−5.47834	+	20.4454i	−0.188238	+	0.702513i
$848$	19.5098	−	5.22764i	0.669970	−	0.179518i
$849$	−44.6604	−	37.4745i	−1.53274	−	1.28612i
$850$	−1.64038	+	0.810601i	−0.0562644	+	0.0278034i
$851$	10.1383	+	27.8548i	0.347537	+	0.954850i
$852$	−14.4122	−	1.26091i	−0.493755	−	0.0431980i
$853$	−14.1091	−	9.87932i	−0.483087	−	0.338261i	0.306530	−	0.951861i	$-0.400832\pi$
$853$	−14.1091	−	9.87932i	−0.483087	−	0.338261i	−0.789617	+	0.613600i	$0.789721\pi$
$854$	3.13306			0.107211
$855$	30.1411	+	52.7398i	1.03080	+	1.80366i
$856$	−1.80609			−0.0617310
$857$	40.4277	+	28.3078i	1.38098	+	0.966975i	0.999085	+	0.0427711i	$0.0136186\pi$
$857$	40.4277	+	28.3078i	1.38098	+	0.966975i	0.381899	+	0.924204i	$0.375270\pi$
$858$	−2.72897	−	0.238754i	−0.0931655	−	0.00815092i
$859$	9.95294	+	27.3455i	0.339590	+	0.933016i	0.985511	+	0.169611i	$0.0542513\pi$
$859$	9.95294	+	27.3455i	0.339590	+	0.933016i	−0.645921	+	0.763404i	$0.723527\pi$
$860$	3.27497	+	2.93349i	0.111676	+	0.100031i
$861$	34.4821	+	28.9339i	1.17515	+	0.986064i
$862$	1.15360	−	0.309107i	0.0392918	−	0.0105282i
$863$	−3.59381	+	13.4123i	−0.122335	+	0.456560i	−0.999731	−	0.0232074i	$-0.992612\pi$
$863$	−3.59381	+	13.4123i	−0.122335	+	0.456560i	0.877396	+	0.479767i	$0.159279\pi$
$864$	45.5665	+	8.03461i	1.55020	+	0.273343i
$865$	12.3652	−	19.9029i	0.420430	−	0.676719i
$866$	−4.64315	−	8.04217i	−0.157781	−	0.273284i
$867$	−12.8558	−	47.9784i	−0.436605	−	1.62943i
$868$	−3.11828	−	35.6422i	−0.105841	−	1.20977i
$869$	2.05519	+	0.748027i	0.0697174	+	0.0253751i
$870$	8.97357	−	8.41151i	0.304233	−	0.285177i
$871$	−9.72868	+	8.16333i	−0.329644	+	0.276604i
$872$	−8.30073	+	11.8547i	−0.281098	+	0.401450i
$873$	18.2321	+	18.2321i	0.617064	+	0.617064i
$874$	8.46925	+	3.66498i	0.286477	+	0.123970i
$875$	19.9975	−	9.09016i	0.676041	−	0.307303i
$876$	2.12440	−	0.374590i	0.0717769	−	0.0126562i
$877$	2.10737	−	24.0873i	0.0711608	−	0.813372i	−0.873821	−	0.486248i	$-0.838365\pi$
$877$	2.10737	−	24.0873i	0.0711608	−	0.813372i	0.944982	−	0.327124i	$-0.106079\pi$
$878$	6.89436	−	14.7850i	0.232673	−	0.498969i
$879$	2.91747	−	8.01569i	0.0984039	−	0.270363i
$880$	2.86504	+	0.867829i	0.0965804	+	0.0292545i
$881$	−11.2657	+	19.5128i	−0.379552	+	0.657403i	−0.990997	−	0.133884i	$-0.957255\pi$
$881$	−11.2657	+	19.5128i	−0.379552	+	0.657403i	0.611445	+	0.791287i	$0.290588\pi$
$882$	−8.56149	−	2.29404i	−0.288280	−	0.0772445i
$883$	10.7621	+	15.3698i	0.362172	+	0.517236i	0.958342	−	0.285623i	$-0.0922004\pi$
$883$	10.7621	+	15.3698i	0.362172	+	0.517236i	−0.596170	+	0.802858i	$0.703311\pi$
$884$	1.05231	−	5.96794i	0.0353930	−	0.200723i
$885$	1.68612	+	11.7762i	0.0566784	+	0.395852i
$886$	8.51580	+	4.91660i	0.286094	+	0.165176i
$887$	−41.7992	+	3.65695i	−1.40348	+	0.122788i	−0.763601	−	0.645689i	$-0.776570\pi$
$887$	−41.7992	+	3.65695i	−1.40348	+	0.122788i	−0.639877	+	0.768477i	$0.721015\pi$
$888$	13.9989	+	30.0207i	0.469771	+	1.00743i
$889$	−18.5549	+	6.75343i	−0.622311	+	0.226503i
$890$	0.0928691	+	0.283325i	0.00311298	+	0.00949707i
$891$	0.921686	+	5.22714i	0.0308776	+	0.175116i
$892$	0.265443	−	0.265443i	0.00888768	−	0.00888768i
$893$	−38.4511	−	12.7910i	−1.28672	−	0.428036i
$894$			31.2448i			1.04498i
$895$	5.03851	+	7.71484i	0.168419	+	0.257879i
$896$	−13.8950	−	16.5594i	−0.464198	−	0.553210i
$897$	−53.7907	−	25.0830i	−1.79602	−	0.837497i
$898$	−3.39530	+	1.58326i	−0.113303	+	0.0528339i
$899$	−26.0641	+	31.0620i	−0.869286	+	1.03597i
$900$	−15.6943	−	53.6825i	−0.523144	−	1.78942i
$901$	5.02721	−	2.90246i	0.167481	−	0.0966949i
$902$	−1.33242	+	0.932973i	−0.0443648	+	0.0310646i
$903$	5.35730	−	3.75122i	0.178280	−	0.124833i
$904$	−16.2491	+	9.38144i	−0.540438	+	0.312022i
$905$	−4.20357	−	0.505094i	−0.139731	−	0.0167899i
$906$	3.00258	−	3.57834i	0.0997541	−	0.118882i
$907$	38.1030	−	17.7677i	1.26519	−	0.589967i	0.329954	−	0.943997i	$-0.392967\pi$
$907$	38.1030	−	17.7677i	1.26519	−	0.589967i	0.935234	+	0.354030i	$0.115189\pi$
$908$	30.6806	+	14.3066i	1.01817	+	0.474781i
$909$	39.7126	+	47.3276i	1.31718	+	1.56976i
$910$	1.70809	−	8.13945i	0.0566226	−	0.269820i
$911$		−	43.1012i		−	1.42801i	−0.700142	−	0.714003i	$-0.746880\pi$
$911$		−	43.1012i		−	1.42801i	0.700142	−	0.714003i	$-0.253120\pi$
$912$	−35.3272	−	11.7518i	−1.16980	−	0.389142i
$913$	−2.65037	+	2.65037i	−0.0877145	+	0.0877145i
$914$	−1.23508	−	7.00448i	−0.0408528	−	0.231688i
$915$	−22.7289	+	7.45014i	−0.751393	+	0.246294i
$916$	3.07501	−	1.11921i	0.101601	−	0.0369798i
$917$	9.77939	+	20.9720i	0.322944	+	0.692555i
$918$	3.58039	−	0.313244i	0.118170	−	0.0103386i
$919$	−5.67097	−	3.27413i	−0.187068	−	0.108004i	0.403541	−	0.914961i	$-0.367779\pi$
$919$	−5.67097	−	3.27413i	−0.187068	−	0.108004i	−0.590609	+	0.806958i	$0.701113\pi$
$920$	−14.3751	−	10.7742i	−0.473934	−	0.355216i
$921$	5.02381	−	28.4914i	0.165540	−	0.938825i
$922$	−5.75774	−	8.22291i	−0.189621	−	0.270807i
$923$	10.7090	+	2.86948i	0.352492	+	0.0944501i
$924$	2.55150	−	4.41932i	0.0839381	−	0.145385i
$925$	19.8283	−	24.7468i	0.651952	−	0.813668i
$926$	1.02785	−	2.82399i	0.0337771	−	0.0928019i
$927$	45.1693	−	96.8658i	1.48355	−	3.18149i
$928$	−1.64099	+	18.7566i	−0.0538682	+	0.615717i
$929$	28.0269	−	4.94190i	0.919533	−	0.162138i	0.306204	−	0.951966i	$-0.400941\pi$
$929$	28.0269	−	4.94190i	0.919533	−	0.162138i	0.613329	+	0.789827i	$0.289830\pi$
$930$	−12.2746	−	28.7104i	−0.402501	−	0.941452i
$931$	12.5602	+	5.43530i	0.411644	+	0.178135i
$932$	22.9744	+	22.9744i	0.752551	+	0.752551i
$933$	−41.7364	+	59.6058i	−1.36639	+	1.95141i
$934$	−13.1125	+	11.0027i	−0.429053	+	0.360018i
$935$	0.859907	+	0.0278008i	0.0281220	+	0.000909183i
$936$	−42.0714	−	15.3127i	−1.37515	−	0.500512i
$937$	−2.75156	−	31.4504i	−0.0898895	−	1.02744i	−0.898464	−	0.439047i	$-0.855316\pi$
$937$	−2.75156	−	31.4504i	−0.0898895	−	1.02744i	0.808574	−	0.588394i	$-0.200240\pi$
$938$	0.699956	+	2.61227i	0.0228544	+	0.0852936i
$939$	−12.7596	−	22.1003i	−0.416395	−	0.721217i
$940$	31.6921	+	19.6896i	1.03368	+	0.642203i
$941$	−39.5313	−	6.97043i	−1.28868	−	0.227229i	−0.513020	−	0.858377i	$-0.671473\pi$
$941$	−39.5313	−	6.97043i	−1.28868	−	0.227229i	−0.775663	+	0.631147i	$0.782584\pi$
$942$	4.40190	−	16.4281i	0.143422	−	0.535256i
$943$	−34.0407	+	9.12118i	−1.10852	+	0.297026i
$944$	−3.77044	−	3.16378i	−0.122718	−	0.102972i
$945$	−43.0831	+	2.36970i	−1.40149	+	0.0770865i
$946$	0.0808298	+	0.222078i	0.00262800	+	0.00722038i
$947$	−6.90626	−	0.604220i	−0.224423	−	0.0196345i	−0.0256106	−	0.999672i	$-0.508153\pi$
$947$	−6.90626	−	0.604220i	−0.224423	−	0.0196345i	−0.198813	+	0.980037i	$0.563709\pi$
$948$	20.5148	+	14.3646i	0.666291	+	0.466542i
$949$	−1.65312			−0.0536626
$950$	−1.35627	−	9.77849i	−0.0440031	−	0.317256i
$951$	10.4907			0.340184
$952$	−2.23502	−	1.56498i	−0.0724374	−	0.0507212i
$953$	−12.1246	−	1.06076i	−0.392754	−	0.0343615i	−0.110931	−	0.993828i	$-0.535383\pi$
$953$	−12.1246	−	1.06076i	−0.392754	−	0.0343615i	−0.281822	+	0.959467i	$0.590939\pi$
$954$	−6.93755	−	19.0608i	−0.224612	−	0.617115i
$955$	22.9558	−	1.26264i	0.742832	−	0.0408581i
$956$	−41.5179	−	34.8376i	−1.34278	−	1.12673i
$957$	−5.58630	+	1.49684i	−0.180579	+	0.0483861i
$958$	1.47456	−	5.50312i	0.0476407	−	0.177798i
$959$	36.3505	+	6.40957i	1.17382	+	0.206976i
$960$	20.1304	+	12.5066i	0.649706	+	0.403647i
$961$	35.9694	+	62.3007i	1.16030	+	2.00970i
$962$	−3.10736	−	11.5968i	−0.100185	−	0.373896i
$963$	−0.570731	−	6.52348i	−0.0183915	−	0.210216i
$964$	−38.7176	−	14.0920i	−1.24701	−	0.453874i
$965$	−4.11624	−	0.133078i	−0.132507	−	0.00428394i
$966$	−9.68188	+	8.12406i	−0.311509	+	0.261387i
$967$	−6.10838	+	8.72367i	−0.196432	+	0.280534i	−0.905269	−	0.424838i	$-0.860331\pi$
$967$	−6.10838	+	8.72367i	−0.196432	+	0.280534i	0.708837	+	0.705372i	$0.249220\pi$
$968$	−13.0943	−	13.0943i	−0.420868	−	0.420868i
$969$	−10.6812	−	0.634592i	−0.343130	−	0.0203860i
$970$	−1.64728	−	3.85299i	−0.0528909	−	0.123712i
$971$	2.17846	−	0.384122i	0.0699102	−	0.0123270i	−0.138584	−	0.990351i	$-0.544255\pi$
$971$	2.17846	−	0.384122i	0.0699102	−	0.0123270i	0.208494	+	0.978024i	$0.433144\pi$
$972$	−0.688186	+	7.86600i	−0.0220736	+	0.252302i
$973$	8.65730	−	18.5656i	0.277540	−	0.595187i
$974$	3.97185	−	10.9126i	0.127266	−	0.349662i
$975$	6.96350	+	63.1095i	0.223010	+	2.02112i
$976$	4.94806	−	8.57030i	0.158384	−	0.274329i
$977$	−22.3268	−	5.98245i	−0.714298	−	0.191396i	−0.116672	−	0.993171i	$-0.537223\pi$
$977$	−22.3268	−	5.98245i	−0.714298	−	0.191396i	−0.597626	+	0.801775i	$0.703889\pi$
$978$	−0.629828	−	0.899487i	−0.0201397	−	0.0287624i
$979$	0.0243448	−	0.138066i	0.000778064	−	0.00441262i
$980$	−10.0831	−	7.55732i	−0.322092	−	0.241410i
$981$	−45.4413	−	26.2355i	−1.45083	−	0.837636i
$982$	15.4529	−	1.35195i	0.493121	−	0.0431425i
$983$	−5.81504	−	12.4704i	−0.185471	−	0.397744i	0.791484	−	0.611190i	$-0.209309\pi$
$983$	−5.81504	−	12.4704i	−0.185471	−	0.397744i	−0.976955	+	0.213446i	$0.931531\pi$
$984$	−37.0059	+	13.4691i	−1.17971	+	0.429378i
$985$	−14.4245	+	4.72811i	−0.459603	+	0.150650i
$986$	0.253964	+	1.44030i	0.00808787	+	0.0458686i
$987$	39.2439	−	39.2439i	1.24915	−	1.24915i
$988$	28.7610	+	15.5511i	0.915011	+	0.494746i
$989$			5.12032i			0.162817i
$990$	0.617439	−	2.94224i	0.0196235	−	0.0935106i
$991$	−23.8389	−	28.4101i	−0.757267	−	0.902476i	0.240405	−	0.970673i	$-0.422720\pi$
$991$	−23.8389	−	28.4101i	−0.757267	−	0.902476i	−0.997672	+	0.0681968i	$0.978275\pi$
$992$	43.3202	+	20.2005i	1.37542	+	0.641367i
$993$	−44.0985	+	20.5635i	−1.39942	+	0.652562i
$994$	1.51757	−	1.80857i	0.0481344	−	0.0573643i
$995$	−30.9330	−	3.71687i	−0.980643	−	0.117833i
$996$	−37.1698	+	21.4600i	−1.17777	+	0.679986i
$997$	−12.5743	+	8.80465i	−0.398234	+	0.278846i	−0.755490	−	0.655160i	$-0.772601\pi$
$997$	−12.5743	+	8.80465i	−0.398234	+	0.278846i	0.357256	+	0.934006i	$0.383712\pi$
$998$	10.6494	−	7.45676i	0.337099	−	0.236040i
$999$	−53.9430	+	31.1440i	−1.70668	+	0.985353i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.67.6	yes	96
3.2	odd	2		855.2.dl.a.352.3		96
5.2	odd	4		475.2.bb.b.143.3		96
5.3	odd	4	inner	95.2.r.a.48.6	yes	96
5.4	even	2		475.2.bb.b.257.3		96
15.8	even	4		855.2.dl.a.523.3		96
19.2	odd	18	inner	95.2.r.a.2.6	✓	96
57.2	even	18		855.2.dl.a.667.3		96
95.2	even	36		475.2.bb.b.268.3		96
95.59	odd	18		475.2.bb.b.382.3		96
95.78	even	36	inner	95.2.r.a.78.6	yes	96
285.173	odd	36		855.2.dl.a.838.3		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.6	✓	96	19.2	odd	18	inner
95.2.r.a.48.6	yes	96	5.3	odd	4	inner
95.2.r.a.67.6	yes	96	1.1	even	1	trivial
95.2.r.a.78.6	yes	96	95.78	even	36	inner
475.2.bb.b.143.3		96	5.2	odd	4
475.2.bb.b.257.3		96	5.4	even	2
475.2.bb.b.268.3		96	95.2	even	36
475.2.bb.b.382.3		96	95.59	odd	18
855.2.dl.a.352.3		96	3.2	odd	2
855.2.dl.a.523.3		96	15.8	even	4
855.2.dl.a.667.3		96	57.2	even	18
855.2.dl.a.838.3		96	285.173	odd	36

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.371046 + 0.259809i) q^{2} +(-3.02691 - 0.264820i) q^{3} +(-0.613866 - 1.68658i) q^{4} +(-2.23269 + 0.122805i) q^{5} +(-1.05432 - 0.884679i) q^{6} +(-1.89781 + 0.508516i) q^{7} +(0.444888 - 1.66034i) q^{8} +(6.13763 + 1.08223i) q^{9} +O(q^{10})\)	\(q+(0.371046 + 0.259809i) q^{2} +(-3.02691 - 0.264820i) q^{3} +(-0.613866 - 1.68658i) q^{4} +(-2.23269 + 0.122805i) q^{5} +(-1.05432 - 0.884679i) q^{6} +(-1.89781 + 0.508516i) q^{7} +(0.444888 - 1.66034i) q^{8} +(6.13763 + 1.08223i) q^{9} +(-0.860337 - 0.534507i) q^{10} +(0.238127 + 0.412449i) q^{11} +(1.41148 + 5.26770i) q^{12} +(-0.364244 - 4.16333i) q^{13} +(-0.836290 - 0.304385i) q^{14} +(6.79068 + 0.219543i) q^{15} +(-2.15338 + 1.80690i) q^{16} +(-0.463388 + 0.661787i) q^{17} +(1.99617 + 1.99617i) q^{18} +(-2.59888 - 3.49940i) q^{19} +(1.57770 + 3.69024i) q^{20} +(5.87916 - 1.03665i) q^{21} +(-0.0188017 + 0.214905i) q^{22} +(-1.97527 + 4.23599i) q^{23} +(-1.78633 + 4.90790i) q^{24} +(4.96984 - 0.548372i) q^{25} +(0.946520 - 1.63942i) q^{26} +(-9.48666 - 2.54194i) q^{27} +(2.02265 + 2.88865i) q^{28} +(0.693994 - 3.93584i) q^{29} +(2.46261 + 1.84574i) q^{30} +(-8.78658 - 5.07294i) q^{31} +(-4.69320 + 0.410602i) q^{32} +(-0.611565 - 1.31151i) q^{33} +(-0.343876 + 0.125161i) q^{34} +(4.17477 - 1.36842i) q^{35} +(-1.94241 - 11.0160i) q^{36} +(4.48456 - 4.48456i) q^{37} +(-0.0551271 - 1.97365i) q^{38} +12.6985i q^{39} +(-0.789400 + 3.76167i) q^{40} +(4.84667 + 5.77603i) q^{41} +(2.45077 + 1.14281i) q^{42} +(0.992873 - 0.462984i) q^{43} +(0.549451 - 0.654810i) q^{44} +(-13.8364 - 1.66256i) q^{45} +(-1.83346 + 1.05855i) q^{46} +(7.61531 - 5.33230i) q^{47} +(6.99661 - 4.89908i) q^{48} +(-2.71909 + 1.56987i) q^{49} +(1.98651 + 1.08774i) q^{50} +(1.57789 - 1.88046i) q^{51} +(-6.79821 + 3.17006i) q^{52} +(-6.51205 - 3.03662i) q^{53} +(-2.85956 - 3.40789i) q^{54} +(-0.582316 - 0.891628i) q^{55} +3.37725i q^{56} +(6.93987 + 11.2806i) q^{57} +(1.28007 - 1.28007i) q^{58} +(0.304047 + 1.72434i) q^{59} +(-3.79829 - 11.5878i) q^{60} +(-3.30814 + 1.20406i) q^{61} +(-1.94223 - 4.16512i) q^{62} +(-12.1984 + 1.06722i) q^{63} +(3.02080 + 1.74406i) q^{64} +(1.32452 + 9.25072i) q^{65} +(0.113822 - 0.645519i) q^{66} +(-1.74299 - 2.48924i) q^{67} +(1.40062 + 0.375294i) q^{68} +(7.10075 - 12.2989i) q^{69} +(1.90456 + 0.576897i) q^{70} +(-0.907322 + 2.49285i) q^{71} +(4.52744 - 9.70912i) q^{72} +(0.0344750 - 0.394051i) q^{73} +(2.82911 - 0.498848i) q^{74} +(-15.1885 + 0.343758i) q^{75} +(-4.30667 + 6.53139i) q^{76} +(-0.661657 - 0.661657i) q^{77} +(-3.29918 + 4.71172i) q^{78} +(3.51787 - 2.95185i) q^{79} +(4.58595 - 4.29871i) q^{80} +(10.4727 + 3.81176i) q^{81} +(0.297669 + 3.40238i) q^{82} +(2.03694 + 7.60197i) q^{83} +(-5.35742 - 9.27933i) q^{84} +(0.953333 - 1.53447i) q^{85} +(0.488688 + 0.0861690i) q^{86} +(-3.14295 + 11.7296i) q^{87} +(0.790747 - 0.211880i) q^{88} +(-0.225503 - 0.189219i) q^{89} +(-4.70197 - 4.21169i) q^{90} +(2.80839 + 7.71598i) q^{91} +(8.35690 + 0.731134i) q^{92} +(25.2528 + 17.6822i) q^{93} +4.21101 q^{94} +(6.23225 + 7.49394i) q^{95} +14.3146 q^{96} +(3.38897 + 2.37298i) q^{97} +(-1.41677 - 0.123952i) q^{98} +(1.01517 + 2.78917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8}+O(q^{10}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26} - 18 q^{27} - 6 q^{30} - 36 q^{31} + 18 q^{32} + 90 q^{33} - 30 q^{35} + 24 q^{36} + 54 q^{38} + 54 q^{40} + 12 q^{41} + 24 q^{42} + 48 q^{43} + 12 q^{45} - 36 q^{46} - 24 q^{47} + 60 q^{48} + 126 q^{50} - 96 q^{51} - 30 q^{53} + 18 q^{55} - 66 q^{57} + 120 q^{58} + 84 q^{60} - 48 q^{61} + 60 q^{62} - 126 q^{63} + 72 q^{65} + 72 q^{66} + 108 q^{67} + 18 q^{68} + 36 q^{70} - 24 q^{71} + 48 q^{72} + 6 q^{73} + 60 q^{76} + 168 q^{77} - 138 q^{78} - 60 q^{80} - 120 q^{81} + 60 q^{82} - 36 q^{85} - 180 q^{86} - 6 q^{87} - 198 q^{88} - 270 q^{90} - 24 q^{91} - 72 q^{92} - 90 q^{93} - 24 q^{95} - 192 q^{96} - 72 q^{97} - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

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