LMFDB - Embedded newform 950.2.h.e.381.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			381.4
Character	$\chi$	$=$	950.381
Dual form			950.2.h.e.571.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-1.05744 + 0.768272i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23141 + 0.144237i) q^{5} +(1.05744 + 0.768272i) q^{6} -0.741348 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.399123 + 1.22837i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.05744 + 0.768272i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23141 + 0.144237i) q^{5} +(1.05744 + 0.768272i) q^{6} -0.741348 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.399123 + 1.22837i) q^{9} +(0.826721 + 2.07763i) q^{10} +(-1.03577 - 3.18776i) q^{11} +(0.403904 - 1.24309i) q^{12} +(-1.32876 + 4.08949i) q^{13} +(0.229089 + 0.705064i) q^{14} +(2.24876 - 1.86685i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.188113 + 0.136672i) q^{17} +1.29159 q^{18} +(-0.809017 - 0.587785i) q^{19} +(1.72047 - 1.42828i) q^{20} +(0.783927 - 0.569556i) q^{21} +(-2.71167 + 1.97015i) q^{22} +(0.639681 + 1.96873i) q^{23} -1.30706 q^{24} +(4.95839 - 0.643702i) q^{25} +4.29994 q^{26} +(-1.73339 - 5.33483i) q^{27} +(0.599763 - 0.435753i) q^{28} +(4.62486 - 3.36016i) q^{29} +(-2.47039 - 1.56181i) q^{30} +(-3.62391 - 2.63293i) q^{31} -1.00000 q^{32} +(3.54433 + 2.57510i) q^{33} +(0.0718528 - 0.221140i) q^{34} +(1.65425 - 0.106929i) q^{35} +(-0.399123 - 1.22837i) q^{36} +(0.0572117 - 0.176080i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-1.73677 - 5.34521i) q^{39} +(-1.89003 - 1.19490i) q^{40} +(0.0574746 - 0.176889i) q^{41} +(-0.783927 - 0.569556i) q^{42} +8.70733 q^{43} +(2.71167 + 1.97015i) q^{44} +(0.713431 - 2.79858i) q^{45} +(1.67471 - 1.21674i) q^{46} +(5.43001 - 3.94514i) q^{47} +(0.403904 + 1.24309i) q^{48} -6.45040 q^{49} +(-2.14442 - 4.51680i) q^{50} -0.303919 q^{51} +(-1.32876 - 4.08949i) q^{52} +(8.60026 - 6.24846i) q^{53} +(-4.53808 + 3.29711i) q^{54} +(2.77101 + 6.96382i) q^{55} +(-0.599763 - 0.435753i) q^{56} +1.30706 q^{57} +(-4.62486 - 3.36016i) q^{58} +(1.59360 - 4.90461i) q^{59} +(-0.721978 + 2.83210i) q^{60} +(-3.49421 - 10.7541i) q^{61} +(-1.38421 + 4.26017i) q^{62} +(0.295889 - 0.910653i) q^{63} +(0.309017 + 0.951057i) q^{64} +(2.37515 - 9.31699i) q^{65} +(1.35381 - 4.16660i) q^{66} +(-1.57717 - 1.14588i) q^{67} -0.232521 q^{68} +(-2.18894 - 1.59036i) q^{69} +(-0.612888 - 1.54024i) q^{70} +(6.06123 - 4.40374i) q^{71} +(-1.04492 + 0.759177i) q^{72} +(0.930407 + 2.86350i) q^{73} -0.185141 q^{74} +(-4.74864 + 4.49007i) q^{75} +1.00000 q^{76} +(0.767864 + 2.36324i) q^{77} +(-4.54691 + 3.30352i) q^{78} +(-0.881851 + 0.640702i) q^{79} +(-0.552367 + 2.16677i) q^{80} +(2.79680 + 2.03199i) q^{81} -0.185992 q^{82} +(2.50515 + 1.82010i) q^{83} +(-0.299434 + 0.921562i) q^{84} +(-0.439471 - 0.277839i) q^{85} +(-2.69071 - 8.28116i) q^{86} +(-2.30898 + 7.10630i) q^{87} +(1.03577 - 3.18776i) q^{88} +(-2.14360 - 6.59731i) q^{89} +(-2.88207 + 0.186294i) q^{90} +(0.985070 - 3.03173i) q^{91} +(-1.67471 - 1.21674i) q^{92} +5.85486 q^{93} +(-5.43001 - 3.94514i) q^{94} +(1.89003 + 1.19490i) q^{95} +(1.05744 - 0.768272i) q^{96} +(-10.0476 + 7.30001i) q^{97} +(1.99328 + 6.13470i) q^{98} +4.32917 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9}+O(q^{10}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9} + 5 q^{10} - 6 q^{12} - 10 q^{13} + 12 q^{14} - 11 q^{16} - 20 q^{17} - 42 q^{18} - 11 q^{19} + 5 q^{20} - 3 q^{21} - 10 q^{22} - 6 q^{23} - 14 q^{24} - 15 q^{25} - 40 q^{26} + 5 q^{27} - 2 q^{28} + 6 q^{29} - 5 q^{31} - 44 q^{32} - 36 q^{33} - 10 q^{34} - 8 q^{36} - 10 q^{37} + 11 q^{38} + 39 q^{39} - 22 q^{41} + 3 q^{42} + 68 q^{43} + 10 q^{44} + 20 q^{45} + 6 q^{46} + 19 q^{47} - 6 q^{48} + 40 q^{49} - 30 q^{50} + 86 q^{51} - 10 q^{52} + 30 q^{54} + 2 q^{56} + 14 q^{57} - 6 q^{58} - 4 q^{59} + 15 q^{60} + 26 q^{61} - 15 q^{62} - 41 q^{63} - 11 q^{64} + 30 q^{65} - 4 q^{66} - 59 q^{67} + 20 q^{68} - 59 q^{69} - 25 q^{70} + 30 q^{71} + 13 q^{72} - 38 q^{73} - 50 q^{74} - 15 q^{75} + 44 q^{76} + 29 q^{77} + 16 q^{78} + 3 q^{79} + 5 q^{80} - 54 q^{81} - 8 q^{82} + 9 q^{83} + 7 q^{84} + 12 q^{86} - 43 q^{87} + 33 q^{89} - 6 q^{91} - 6 q^{92} + 84 q^{93} - 19 q^{94} + q^{96} + 30 q^{97} - 15 q^{98} - 54 q^{99}+O(q^{100}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9 + 5 * q^10 - 6 * q^12 - 10 * q^13 + 12 * q^14 - 11 * q^16 - 20 * q^17 - 42 * q^18 - 11 * q^19 + 5 * q^20 - 3 * q^21 - 10 * q^22 - 6 * q^23 - 14 * q^24 - 15 * q^25 - 40 * q^26 + 5 * q^27 - 2 * q^28 + 6 * q^29 - 5 * q^31 - 44 * q^32 - 36 * q^33 - 10 * q^34 - 8 * q^36 - 10 * q^37 + 11 * q^38 + 39 * q^39 - 22 * q^41 + 3 * q^42 + 68 * q^43 + 10 * q^44 + 20 * q^45 + 6 * q^46 + 19 * q^47 - 6 * q^48 + 40 * q^49 - 30 * q^50 + 86 * q^51 - 10 * q^52 + 30 * q^54 + 2 * q^56 + 14 * q^57 - 6 * q^58 - 4 * q^59 + 15 * q^60 + 26 * q^61 - 15 * q^62 - 41 * q^63 - 11 * q^64 + 30 * q^65 - 4 * q^66 - 59 * q^67 + 20 * q^68 - 59 * q^69 - 25 * q^70 + 30 * q^71 + 13 * q^72 - 38 * q^73 - 50 * q^74 - 15 * q^75 + 44 * q^76 + 29 * q^77 + 16 * q^78 + 3 * q^79 + 5 * q^80 - 54 * q^81 - 8 * q^82 + 9 * q^83 + 7 * q^84 + 12 * q^86 - 43 * q^87 + 33 * q^89 - 6 * q^91 - 6 * q^92 + 84 * q^93 - 19 * q^94 + q^96 + 30 * q^97 - 15 * q^98 - 54 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−1.05744	+	0.768272i	−0.610511	+	0.443562i	−0.849594	−	0.527437i	$-0.823153\pi$
$3$	−1.05744	+	0.768272i	−0.610511	+	0.443562i	0.239084	+	0.970999i	$0.423153\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.23141	+	0.144237i	−0.997917	+	0.0645045i
$5$	−2.23141	+	0.144237i	−0.997917	+	0.0645045i
$6$	1.05744	+	0.768272i	0.431696	+	0.313646i
$7$	−0.741348			−0.280203			−0.140102	−	0.990137i	$-0.544743\pi$
$7$	−0.741348			−0.280203			−0.140102	+	0.990137i	$0.544743\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−0.399123	+	1.22837i	−0.133041	+	0.409458i
$10$	0.826721	+	2.07763i	0.261432	+	0.657003i
$11$	−1.03577	−	3.18776i	−0.312296	−	0.961147i	−0.976853	−	0.213910i	$-0.931380\pi$
$11$	−1.03577	−	3.18776i	−0.312296	−	0.961147i	0.664558	−	0.747237i	$-0.268620\pi$
$12$	0.403904	−	1.24309i	0.116597	−	0.358849i
$13$	−1.32876	+	4.08949i	−0.368530	+	1.13422i	0.579210	+	0.815178i	$0.303361\pi$
$13$	−1.32876	+	4.08949i	−0.368530	+	1.13422i	−0.947741	+	0.319042i	$0.896639\pi$
$14$	0.229089	+	0.705064i	0.0612266	+	0.188436i
$15$	2.24876	−	1.86685i	0.580627	−	0.482019i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	0.188113	+	0.136672i	0.0456241	+	0.0331479i	0.610364	−	0.792121i	$-0.291023\pi$
$17$	0.188113	+	0.136672i	0.0456241	+	0.0331479i	−0.564739	+	0.825269i	$0.691023\pi$
$18$	1.29159			0.304431
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$20$	1.72047	−	1.42828i	0.384709	−	0.319373i
$21$	0.783927	−	0.569556i	0.171067	−	0.124287i
$22$	−2.71167	+	1.97015i	−0.578131	+	0.420037i
$23$	0.639681	+	1.96873i	0.133383	+	0.410510i	0.995335	−	0.0964798i	$-0.0307583\pi$
$23$	0.639681	+	1.96873i	0.133383	+	0.410510i	−0.861952	+	0.506989i	$0.830758\pi$
$24$	−1.30706			−0.266803
$25$	4.95839	−	0.643702i	0.991678	−	0.128740i
$26$	4.29994			0.843288
$27$	−1.73339	−	5.33483i	−0.333591	−	1.02669i
$28$	0.599763	−	0.435753i	0.113345	−	0.0823496i
$29$	4.62486	−	3.36016i	0.858815	−	0.623965i	−0.0687476	−	0.997634i	$-0.521900\pi$
$29$	4.62486	−	3.36016i	0.858815	−	0.623965i	0.927562	+	0.373669i	$0.121900\pi$
$30$	−2.47039	−	1.56181i	−0.451029	−	0.285146i
$31$	−3.62391	−	2.63293i	−0.650874	−	0.472888i	0.212695	−	0.977119i	$-0.431776\pi$
$31$	−3.62391	−	2.63293i	−0.650874	−	0.472888i	−0.863569	+	0.504231i	$0.831776\pi$
$32$	−1.00000			−0.176777
$33$	3.54433	+	2.57510i	0.616988	+	0.448268i
$34$	0.0718528	−	0.221140i	0.0123227	−	0.0379252i
$35$	1.65425	−	0.106929i	0.279620	−	0.0180744i
$36$	−0.399123	−	1.22837i	−0.0665205	−	0.204729i
$37$	0.0572117	−	0.176080i	0.00940555	−	0.0289473i	−0.946244	−	0.323455i	$-0.895156\pi$
$37$	0.0572117	−	0.176080i	0.00940555	−	0.0289473i	0.955649	+	0.294508i	$0.0951556\pi$
$38$	−0.309017	+	0.951057i	−0.0501292	+	0.154282i
$39$	−1.73677	−	5.34521i	−0.278105	−	0.855919i
$40$	−1.89003	−	1.19490i	−0.298840	−	0.188930i
$41$	0.0574746	−	0.176889i	0.00897603	−	0.0276254i	−0.946468	−	0.322797i	$-0.895377\pi$
$41$	0.0574746	−	0.176889i	0.00897603	−	0.0276254i	0.955444	+	0.295172i	$0.0953769\pi$
$42$	−0.783927	−	0.569556i	−0.120963	−	0.0878845i
$43$	8.70733			1.32785			0.663927	−	0.747797i	$-0.268888\pi$
$43$	8.70733			1.32785			0.663927	+	0.747797i	$0.268888\pi$
$44$	2.71167	+	1.97015i	0.408800	+	0.297011i
$45$	0.713431	−	2.79858i	0.106352	−	0.417187i
$46$	1.67471	−	1.21674i	0.246922	−	0.179399i
$47$	5.43001	−	3.94514i	0.792049	−	0.575457i	−0.116522	−	0.993188i	$-0.537175\pi$
$47$	5.43001	−	3.94514i	0.792049	−	0.575457i	0.908571	+	0.417731i	$0.137175\pi$
$48$	0.403904	+	1.24309i	0.0582986	+	0.179425i
$49$	−6.45040			−0.921486
$50$	−2.14442	−	4.51680i	−0.303267	−	0.638771i
$51$	−0.303919			−0.0425571
$52$	−1.32876	−	4.08949i	−0.184265	−	0.567110i
$53$	8.60026	−	6.24846i	1.18134	−	0.858292i	0.189015	−	0.981974i	$-0.439470\pi$
$53$	8.60026	−	6.24846i	1.18134	−	0.858292i	0.992322	+	0.123682i	$0.0394704\pi$
$54$	−4.53808	+	3.29711i	−0.617554	+	0.448679i
$55$	2.77101	+	6.96382i	0.373644	+	0.939001i
$56$	−0.599763	−	0.435753i	−0.0801467	−	0.0582300i
$57$	1.30706			0.173125
$58$	−4.62486	−	3.36016i	−0.607274	−	0.441210i
$59$	1.59360	−	4.90461i	0.207469	−	0.638525i	−0.792134	−	0.610348i	$-0.791030\pi$
$59$	1.59360	−	4.90461i	0.207469	−	0.638525i	0.999603	−	0.0281774i	$-0.00897032\pi$
$60$	−0.721978	+	2.83210i	−0.0932069	+	0.365623i
$61$	−3.49421	−	10.7541i	−0.447388	−	1.37692i	−0.879844	−	0.475263i	$-0.842353\pi$
$61$	−3.49421	−	10.7541i	−0.447388	−	1.37692i	0.432456	−	0.901655i	$-0.357647\pi$
$62$	−1.38421	+	4.26017i	−0.175795	+	0.541042i
$63$	0.295889	−	0.910653i	0.0372785	−	0.114731i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	2.37515	−	9.31699i	0.294601	−	1.15563i
$66$	1.35381	−	4.16660i	0.166643	−	0.512874i
$67$	−1.57717	−	1.14588i	−0.192682	−	0.139992i	0.487261	−	0.873256i	$-0.337996\pi$
$67$	−1.57717	−	1.14588i	−0.192682	−	0.139992i	−0.679944	+	0.733264i	$0.737996\pi$
$68$	−0.232521			−0.0281973
$69$	−2.18894	−	1.59036i	−0.263518	−	0.191457i
$70$	−0.612888	−	1.54024i	−0.0732541	−	0.184094i
$71$	6.06123	−	4.40374i	0.719335	−	0.522628i	−0.166836	−	0.985985i	$-0.553355\pi$
$71$	6.06123	−	4.40374i	0.719335	−	0.522628i	0.886172	+	0.463357i	$0.153355\pi$
$72$	−1.04492	+	0.759177i	−0.123145	+	0.0894699i
$73$	0.930407	+	2.86350i	0.108896	+	0.335147i	0.990625	−	0.136609i	$-0.0436203\pi$
$73$	0.930407	+	2.86350i	0.108896	+	0.335147i	−0.881729	+	0.471756i	$0.843620\pi$
$74$	−0.185141			−0.0215222
$75$	−4.74864	+	4.49007i	−0.548326	+	0.518468i
$76$	1.00000			0.114708
$77$	0.767864	+	2.36324i	0.0875062	+	0.269316i
$78$	−4.54691	+	3.30352i	−0.514836	+	0.374050i
$79$	−0.881851	+	0.640702i	−0.0992159	+	0.0720846i	−0.636287	−	0.771452i	$-0.719531\pi$
$79$	−0.881851	+	0.640702i	−0.0992159	+	0.0720846i	0.537071	+	0.843537i	$0.319531\pi$
$80$	−0.552367	+	2.16677i	−0.0617565	+	0.242252i
$81$	2.79680	+	2.03199i	0.310755	+	0.225777i
$82$	−0.185992			−0.0205394
$83$	2.50515	+	1.82010i	0.274976	+	0.199782i	0.716723	−	0.697358i	$-0.245641\pi$
$83$	2.50515	+	1.82010i	0.274976	+	0.199782i	−0.441747	+	0.897140i	$0.645641\pi$
$84$	−0.299434	+	0.921562i	−0.0326709	+	0.100551i
$85$	−0.439471	−	0.277839i	−0.0476673	−	0.0301359i
$86$	−2.69071	−	8.28116i	−0.290147	−	0.892980i
$87$	−2.30898	+	7.10630i	−0.247548	+	0.761875i
$88$	1.03577	−	3.18776i	0.110413	−	0.339817i
$89$	−2.14360	−	6.59731i	−0.227221	−	0.699314i	−0.998059	−	0.0622822i	$-0.980162\pi$
$89$	−2.14360	−	6.59731i	−0.227221	−	0.699314i	0.770838	−	0.637032i	$-0.219838\pi$
$90$	−2.88207	+	0.186294i	−0.303797	+	0.0196372i
$91$	0.985070	−	3.03173i	0.103263	−	0.317812i
$92$	−1.67471	−	1.21674i	−0.174600	−	0.126854i
$93$	5.85486			0.607121
$94$	−5.43001	−	3.94514i	−0.560063	−	0.406910i
$95$	1.89003	+	1.19490i	0.193913	+	0.122594i
$96$	1.05744	−	0.768272i	0.107924	−	0.0784114i
$97$	−10.0476	+	7.30001i	−1.02018	+	0.741204i	−0.966320	−	0.257345i	$-0.917152\pi$
$97$	−10.0476	+	7.30001i	−1.02018	+	0.741204i	−0.0538597	+	0.998549i	$0.517152\pi$
$98$	1.99328	+	6.13470i	0.201352	+	0.619698i
$99$	4.32917			0.435098
$100$	−3.63306	+	3.43524i	−0.363306	+	0.343524i
$101$	7.97344			0.793387			0.396693	−	0.917951i	$-0.370158\pi$
$101$	7.97344			0.793387			0.396693	+	0.917951i	$0.370158\pi$
$102$	0.0939161	+	0.289044i	0.00929908	+	0.0286196i
$103$	7.49769	−	5.44739i	0.738770	−	0.536748i	−0.153556	−	0.988140i	$-0.549073\pi$
$103$	7.49769	−	5.44739i	0.738770	−	0.536748i	0.892326	+	0.451392i	$0.149073\pi$
$104$	−3.47873	+	2.52744i	−0.341117	+	0.247836i
$105$	−1.66711	+	1.38399i	−0.162694	+	0.135063i
$106$	−8.60026	−	6.24846i	−0.835332	−	0.606904i
$107$	5.36159			0.518324			0.259162	−	0.965834i	$-0.416554\pi$
$107$	5.36159			0.518324			0.259162	+	0.965834i	$0.416554\pi$
$108$	4.53808	+	3.29711i	0.436677	+	0.317264i
$109$	0.789909	−	2.43109i	0.0756596	−	0.232856i	−0.906073	−	0.423121i	$-0.860935\pi$
$109$	0.789909	−	2.43109i	0.0756596	−	0.232856i	0.981733	+	0.190265i	$0.0609346\pi$
$110$	5.76669	−	4.78733i	0.549833	−	0.456454i
$111$	0.0747793	+	0.230147i	0.00709774	+	0.0218446i
$112$	−0.229089	+	0.705064i	−0.0216469	+	0.0666222i
$113$	−6.29825	+	19.3840i	−0.592490	+	1.82350i	−0.0256450	+	0.999671i	$0.508164\pi$
$113$	−6.29825	+	19.3840i	−0.592490	+	1.82350i	−0.566845	+	0.823825i	$0.691836\pi$
$114$	−0.403904	−	1.24309i	−0.0378291	−	0.116426i
$115$	−1.71135	−	4.30079i	−0.159585	−	0.401051i
$116$	−1.76654	+	5.43685i	−0.164019	+	0.504799i
$117$	−4.49309	−	3.26442i	−0.415386	−	0.301796i
$118$	−5.15701			−0.474741
$119$	−0.139457	−	0.101322i	−0.0127840	−	0.00928814i
$120$	2.91659	−	0.188526i	0.266247	−	0.0172100i
$121$	−0.189839	+	0.137926i	−0.0172581	+	0.0125387i
$122$	−9.14796	+	6.64638i	−0.828218	+	0.601735i
$123$	0.0751229	+	0.231205i	0.00677360	+	0.0208470i
$124$	4.47941			0.402262
$125$	−10.9714	+	2.15155i	−0.981309	+	0.192440i
$126$	−0.957517			−0.0853024
$127$	2.09666	+	6.45284i	0.186048	+	0.572597i	0.999965	−	0.00838439i	$-0.00266887\pi$
$127$	2.09666	+	6.45284i	0.186048	+	0.572597i	−0.813917	+	0.580981i	$0.802669\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−9.20743	+	6.68959i	−0.810669	+	0.588986i
$130$	−9.59494	+	0.620209i	−0.841532	+	0.0543959i
$131$	−4.82816	−	3.50787i	−0.421839	−	0.306484i	0.356539	−	0.934281i	$-0.383957\pi$
$131$	−4.82816	−	3.50787i	−0.421839	−	0.306484i	−0.778377	+	0.627797i	$0.783957\pi$
$132$	−4.38103			−0.381320
$133$	0.599763	+	0.435753i	0.0520060	+	0.0377846i
$134$	−0.602427	+	1.85408i	−0.0520417	+	0.160168i
$135$	4.63739	+	11.6542i	0.399123	+	1.00303i
$136$	0.0718528	+	0.221140i	0.00616133	+	0.0189626i
$137$	−0.326153	+	1.00380i	−0.0278651	+	0.0857601i	−0.964022	−	0.265823i	$-0.914356\pi$
$137$	−0.326153	+	1.00380i	−0.0278651	+	0.0857601i	0.936157	+	0.351583i	$0.114356\pi$
$138$	−0.836102	+	2.57326i	−0.0711738	+	0.219050i
$139$	−0.797783	−	2.45532i	−0.0676671	−	0.208258i	0.911505	−	0.411288i	$-0.134921\pi$
$139$	−0.797783	−	2.45532i	−0.0676671	−	0.208258i	−0.979172	+	0.203030i	$0.934921\pi$
$140$	−1.27547	+	1.05885i	−0.107797	+	0.0894894i
$141$	−2.71095	+	8.34345i	−0.228303	+	0.702645i
$142$	−6.06123	−	4.40374i	−0.508647	−	0.369554i
$143$	14.4126			1.20524
$144$	1.04492	+	0.759177i	0.0870765	+	0.0632648i
$145$	−9.83530	+	8.16496i	−0.816777	+	0.678063i
$146$	2.43584	−	1.76974i	0.201591	−	0.146465i
$147$	6.82088	−	4.95566i	0.562577	−	0.408736i
$148$	0.0572117	+	0.176080i	0.00470278	+	0.0144737i
$149$	−11.5711			−0.947944			−0.473972	−	0.880540i	$-0.657180\pi$
$149$	−11.5711			−0.947944			−0.473972	+	0.880540i	$0.657180\pi$
$150$	5.73772	+	3.12872i	0.468483	+	0.255459i
$151$	10.6558			0.867154			0.433577	−	0.901117i	$-0.357251\pi$
$151$	10.6558			0.867154			0.433577	+	0.901117i	$0.357251\pi$
$152$	−0.309017	−	0.951057i	−0.0250646	−	0.0771409i
$153$	−0.242965	+	0.176524i	−0.0196425	+	0.0142711i
$154$	2.01029	−	1.46056i	0.161994	−	0.117696i
$155$	8.46621	+	5.35244i	0.680022	+	0.429919i
$156$	4.54691	+	3.30352i	0.364044	+	0.264494i
$157$	4.09664			0.326947			0.163474	−	0.986548i	$-0.447730\pi$
$157$	4.09664			0.326947			0.163474	+	0.986548i	$0.447730\pi$
$158$	0.881851	+	0.640702i	0.0701563	+	0.0509715i
$159$	−4.29371	+	13.2147i	−0.340513	+	1.04799i
$160$	2.23141	−	0.144237i	0.176409	−	0.0114029i
$161$	−0.474226	−	1.45952i	−0.0373742	−	0.115026i
$162$	1.06828	−	3.28783i	0.0839321	−	0.258316i
$163$	2.22418	−	6.84532i	0.174211	−	0.536167i	−0.825385	−	0.564570i	$-0.809042\pi$
$163$	2.22418	−	6.84532i	0.174211	−	0.536167i	0.999597	+	0.0284028i	$0.00904211\pi$
$164$	0.0574746	+	0.176889i	0.00448801	+	0.0138127i
$165$	−8.28027	−	5.23489i	−0.644618	−	0.407536i
$166$	0.956882	−	2.94498i	0.0742685	−	0.228575i
$167$	−10.6797	−	7.75928i	−0.826423	−	0.600431i	0.0921221	−	0.995748i	$-0.470635\pi$
$167$	−10.6797	−	7.75928i	−0.826423	−	0.600431i	−0.918545	+	0.395316i	$0.870635\pi$
$168$	0.968987			0.0747590
$169$	−4.44111	−	3.22665i	−0.341623	−	0.248204i
$170$	−0.128437	+	0.503819i	−0.00985064	+	0.0386411i
$171$	1.04492	−	0.759177i	0.0799069	−	0.0580557i
$172$	−7.04438	+	5.11804i	−0.537129	+	0.390247i
$173$	1.62312	+	4.99544i	0.123403	+	0.379796i	0.993607	−	0.112896i	$-0.0360127\pi$
$173$	1.62312	+	4.99544i	0.123403	+	0.379796i	−0.870203	+	0.492693i	$0.836013\pi$
$174$	7.47200			0.566451
$175$	−3.67589	+	0.477207i	−0.277871	+	0.0360735i
$176$	−3.35181			−0.252652
$177$	2.08294	+	6.41062i	0.156563	+	0.481852i
$178$	−5.61201	+	4.07736i	−0.420638	+	0.305611i
$179$	14.5006	−	10.5353i	1.08382	−	0.787443i	0.105477	−	0.994422i	$-0.466363\pi$
$179$	14.5006	−	10.5353i	1.08382	−	0.787443i	0.978345	+	0.206979i	$0.0663631\pi$
$180$	1.06778	+	2.68344i	0.0795879	+	0.200012i
$181$	−6.64234	−	4.82594i	−0.493721	−	0.358709i	0.312892	−	0.949789i	$-0.398702\pi$
$181$	−6.64234	−	4.82594i	−0.493721	−	0.358709i	−0.806614	+	0.591079i	$0.798702\pi$
$182$	−3.18775			−0.236292
$183$	11.9570	+	8.68724i	0.883884	+	0.642179i
$184$	−0.639681	+	1.96873i	−0.0471579	+	0.145137i
$185$	−0.102266	+	0.401158i	−0.00751873	+	0.0294937i
$186$	−1.80925	−	5.56830i	−0.132661	−	0.408288i
$187$	0.240837	−	0.741221i	0.0176118	−	0.0542034i
$188$	−2.07408	+	6.38336i	−0.151268	+	0.465555i
$189$	1.28505	+	3.95496i	0.0934733	+	0.287681i
$190$	0.552367	−	2.16677i	0.0400729	−	0.157194i
$191$	0.401025	−	1.23423i	0.0290172	−	0.0893057i	−0.935499	−	0.353329i	$-0.885050\pi$
$191$	0.401025	−	1.23423i	0.0290172	−	0.0893057i	0.964516	+	0.264023i	$0.0850496\pi$
$192$	−1.05744	−	0.768272i	−0.0763138	−	0.0554452i
$193$	−26.9029			−1.93651			−0.968255	−	0.249963i	$-0.919582\pi$
$193$	−26.9029			−1.93651			−0.968255	+	0.249963i	$0.919582\pi$
$194$	10.0476	+	7.30001i	0.721376	+	0.524110i
$195$	4.64641	+	11.6769i	0.332737	+	0.836198i
$196$	5.21849	−	3.79145i	0.372749	−	0.270818i
$197$	7.35211	−	5.34162i	0.523816	−	0.380575i	−0.294223	−	0.955737i	$-0.595061\pi$
$197$	7.35211	−	5.34162i	0.523816	−	0.380575i	0.818040	+	0.575162i	$0.195061\pi$
$198$	−1.33779	−	4.11728i	−0.0950723	−	0.292602i
$199$	3.58832			0.254369			0.127185	−	0.991879i	$-0.459406\pi$
$199$	3.58832			0.254369			0.127185	+	0.991879i	$0.459406\pi$
$200$	4.38978	+	2.39370i	0.310404	+	0.169260i
$201$	2.54811			0.179730
$202$	−2.46393	−	7.58319i	−0.173361	−	0.533552i
$203$	−3.42863	+	2.49104i	−0.240643	+	0.174837i
$204$	0.245875	−	0.178639i	0.0172147	−	0.0125072i
$205$	−0.102736	+	0.403001i	−0.00717537	+	0.0281468i
$206$	−7.49769	−	5.44739i	−0.522389	−	0.379538i
$207$	−2.67365			−0.185832
$208$	3.47873	+	2.52744i	0.241206	+	0.175247i
$209$	−1.03577	+	3.18776i	−0.0716455	+	0.220502i
$210$	1.83141	+	1.15784i	0.126380	+	0.0798988i
$211$	3.39414	+	10.4461i	0.233662	+	0.719137i	0.997296	+	0.0734883i	$0.0234132\pi$
$211$	3.39414	+	10.4461i	0.233662	+	0.719137i	−0.763634	+	0.645649i	$0.776587\pi$
$212$	−3.28501	+	10.1102i	−0.225615	+	0.694373i
$213$	−3.02609	+	9.31334i	−0.207344	+	0.638140i
$214$	−1.65682	−	5.09917i	−0.113258	−	0.348572i
$215$	−19.4296	+	1.25591i	−1.32509	+	0.0856527i
$216$	1.73339	−	5.33483i	0.117942	−	0.362989i
$217$	2.68658	+	1.95192i	0.182377	+	0.132505i
$218$	−2.55620			−0.173128
$219$	−3.18379	−	2.31316i	−0.215141	−	0.156309i
$220$	−6.33503	−	4.00508i	−0.427107	−	0.270023i
$221$	−0.808876	+	0.587683i	−0.0544109	+	0.0395318i
$222$	0.195775	−	0.142239i	0.0131395	−	0.00954643i
$223$	2.74425	+	8.44595i	0.183769	+	0.565582i	0.999925	−	0.0122491i	$-0.00389910\pi$
$223$	2.74425	+	8.44595i	0.183769	+	0.565582i	−0.816156	+	0.577831i	$0.803899\pi$
$224$	0.741348			0.0495334
$225$	−1.18830	+	6.34768i	−0.0792201	+	0.423179i
$226$	20.3816			1.35576
$227$	0.836593	+	2.57477i	0.0555266	+	0.170893i	0.974974	−	0.222321i	$-0.0713632\pi$
$227$	0.836593	+	2.57477i	0.0555266	+	0.170893i	−0.919447	+	0.393214i	$0.871363\pi$
$228$	−1.05744	+	0.768272i	−0.0700304	+	0.0508800i
$229$	8.46646	−	6.15124i	0.559479	−	0.406486i	−0.271789	−	0.962357i	$-0.587615\pi$
$229$	8.46646	−	6.15124i	0.559479	−	0.406486i	0.831268	+	0.555871i	$0.187615\pi$
$230$	−3.56146	+	2.95661i	−0.234836	+	0.194953i
$231$	−2.62758	−	1.90905i	−0.172882	−	0.125606i
$232$	5.71664			0.375316
$233$	8.29244	+	6.02481i	0.543256	+	0.394698i	0.825293	−	0.564705i	$-0.191010\pi$
$233$	8.29244	+	6.02481i	0.543256	+	0.394698i	−0.282037	+	0.959403i	$0.591010\pi$
$234$	−1.71621	+	5.28194i	−0.112192	+	0.345291i
$235$	−11.5476	+	9.58643i	−0.753280	+	0.625349i
$236$	1.59360	+	4.90461i	0.103735	+	0.319263i
$237$	0.440267	−	1.35500i	0.0285984	−	0.0880168i
$238$	−0.0532679	+	0.163942i	−0.00345285	+	0.0106268i
$239$	−1.22595	−	3.77308i	−0.0793000	−	0.244060i	0.903545	−	0.428493i	$-0.140955\pi$
$239$	−1.22595	−	3.77308i	−0.0793000	−	0.244060i	−0.982845	+	0.184433i	$0.940955\pi$
$240$	−1.08058	−	2.71559i	−0.0697509	−	0.175290i
$241$	−2.25262	+	6.93285i	−0.145104	+	0.446584i	−0.997024	−	0.0770871i	$-0.975438\pi$
$241$	−2.25262	+	6.93285i	−0.145104	+	0.446584i	0.851920	+	0.523671i	$0.175438\pi$
$242$	0.189839	+	0.137926i	0.0122033	+	0.00886623i
$243$	12.3096			0.789659
$244$	9.14796	+	6.64638i	0.585638	+	0.425491i
$245$	14.3935	−	0.930384i	0.919567	−	0.0594400i
$246$	0.196674	−	0.142892i	0.0125395	−	0.00911048i
$247$	3.47873	−	2.52744i	0.221346	−	0.160817i
$248$	−1.38421	−	4.26017i	−0.0878976	−	0.270521i
$249$	−4.04737			−0.256491
$250$	5.43658	+	9.76952i	0.343839	+	0.617879i
$251$	15.5987			0.984584			0.492292	−	0.870430i	$-0.336159\pi$
$251$	15.5987			0.984584			0.492292	+	0.870430i	$0.336159\pi$
$252$	0.295889	+	0.910653i	0.0186393	+	0.0573657i
$253$	5.61330	−	4.07830i	0.352905	−	0.256401i
$254$	5.48911	−	3.98808i	0.344418	−	0.250234i
$255$	0.678168	−	0.0438362i	0.0424685	−	0.00274513i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	18.5426			1.15666			0.578328	−	0.815805i	$-0.303706\pi$
$257$	18.5426			1.15666			0.578328	+	0.815805i	$0.303706\pi$
$258$	9.20743	+	6.68959i	0.573230	+	0.416476i
$259$	−0.0424138	+	0.130536i	−0.00263547	+	0.00811113i
$260$	3.55485	+	8.93368i	0.220463	+	0.554043i
$261$	2.28164	+	7.02217i	0.141230	+	0.434662i
$262$	−1.84419	+	5.67585i	−0.113935	+	0.350655i
$263$	1.13934	−	3.50654i	0.0702549	−	0.216222i	−0.909764	−	0.415125i	$-0.863738\pi$
$263$	1.13934	−	3.50654i	0.0702549	−	0.216222i	0.980019	+	0.198903i	$0.0637378\pi$
$264$	1.35381	+	4.16660i	0.0833214	+	0.256437i
$265$	−18.2895	+	15.1834i	−1.12351	+	0.932706i
$266$	0.229089	−	0.705064i	0.0140464	−	0.0432302i
$267$	7.33524	+	5.32937i	0.448910	+	0.326152i
$268$	1.94949			0.119084
$269$	−23.0109	−	16.7184i	−1.40300	−	1.01934i	−0.994294	−	0.106673i	$-0.965980\pi$
$269$	−23.0109	−	16.7184i	−1.40300	−	1.01934i	−0.408706	−	0.912666i	$-0.634020\pi$
$270$	9.65075	−	8.01176i	0.587326	−	0.487580i
$271$	−6.22427	+	4.52219i	−0.378097	+	0.274704i	−0.760561	−	0.649267i	$-0.775076\pi$
$271$	−6.22427	+	4.52219i	−0.378097	+	0.274704i	0.382463	+	0.923971i	$0.375076\pi$
$272$	0.188113	−	0.136672i	0.0114060	−	0.00828697i
$273$	1.28755	+	3.96266i	0.0779259	+	0.239831i
$274$	1.05545			0.0637623
$275$	−7.18771	−	15.1395i	−0.433435	−	0.912944i
$276$	2.70568			0.162863
$277$	1.09802	+	3.37934i	0.0659733	+	0.203045i	0.978609	−	0.205729i	$-0.0659565\pi$
$277$	1.09802	+	3.37934i	0.0659733	+	0.203045i	−0.912636	+	0.408774i	$0.865956\pi$
$278$	−2.08862	+	1.51747i	−0.125267	+	0.0910120i
$279$	4.68061	−	3.40066i	0.280221	−	0.203592i
$280$	1.40117	+	0.885837i	0.0837359	+	0.0529389i
$281$	20.8928	+	15.1795i	1.24636	+	0.905535i	0.998005	−	0.0631336i	$-0.0201094\pi$
$281$	20.8928	+	15.1795i	1.24636	+	0.905535i	0.248357	+	0.968669i	$0.420109\pi$
$282$	8.77282			0.522414
$283$	−16.6889	−	12.1252i	−0.992051	−	0.720767i	−0.0316819	−	0.999498i	$-0.510086\pi$
$283$	−16.6889	−	12.1252i	−0.992051	−	0.720767i	−0.960369	+	0.278731i	$0.910086\pi$
$284$	−2.31518	+	7.12540i	−0.137381	+	0.422815i
$285$	−2.91659	+	0.188526i	−0.172764	+	0.0111673i
$286$	−4.45374	−	13.7072i	−0.263355	−	0.810524i
$287$	−0.0426087	+	0.131136i	−0.00251511	+	0.00774072i
$288$	0.399123	−	1.22837i	0.0235186	−	0.0723827i
$289$	−5.23658	−	16.1165i	−0.308034	−	0.948032i
$290$	10.8046	+	6.83082i	0.634469	+	0.401119i
$291$	5.01630	−	15.4386i	0.294061	−	0.905025i
$292$	−2.43584	−	1.76974i	−0.142547	−	0.103566i
$293$	25.3967			1.48369			0.741845	−	0.670572i	$-0.233951\pi$
$293$	25.3967			1.48369			0.741845	+	0.670572i	$0.233951\pi$
$294$	−6.82088	−	4.95566i	−0.397802	−	0.289020i
$295$	−2.84856	+	11.1740i	−0.165850	+	0.650578i
$296$	0.149782	−	0.108823i	0.00870592	−	0.00632522i
$297$	−15.2108	+	11.0513i	−0.882620	+	0.641261i
$298$	3.57568	+	11.0048i	0.207133	+	0.637491i
$299$	−8.90110			−0.514764
$300$	1.20254	−	6.42372i	0.0694285	−	0.370874i
$301$	−6.45516			−0.372069
$302$	−3.29281	−	10.1342i	−0.189480	−	0.583160i
$303$	−8.43140	+	6.12577i	−0.484371	+	0.351916i
$304$	−0.809017	+	0.587785i	−0.0464003	+	0.0337118i
$305$	9.34815	+	23.4928i	0.535274	+	1.34519i
$306$	0.242965	+	0.176524i	0.0138894	+	0.0100912i
$307$	−22.4063			−1.27879			−0.639397	−	0.768877i	$-0.720816\pi$
$307$	−22.4063			−1.27879			−0.639397	+	0.768877i	$0.720816\pi$
$308$	−2.01029	−	1.46056i	−0.114547	−	0.0832233i
$309$	−3.74325	+	11.5205i	−0.212946	+	0.655380i
$310$	2.47427	−	9.70584i	0.140529	−	0.551255i
$311$	−4.57040	−	14.0662i	−0.259164	−	0.797624i	−0.992981	−	0.118277i	$-0.962263\pi$
$311$	−4.57040	−	14.0662i	−0.259164	−	0.797624i	0.733817	−	0.679347i	$-0.237737\pi$
$312$	1.73677	−	5.34521i	0.0983250	−	0.302613i
$313$	9.77018	−	30.0695i	0.552243	−	1.69963i	−0.150872	−	0.988553i	$-0.548208\pi$
$313$	9.77018	−	30.0695i	0.552243	−	1.69963i	0.703115	−	0.711076i	$-0.251792\pi$
$314$	−1.26593	−	3.89613i	−0.0714406	−	0.219872i
$315$	−0.528901	+	2.07472i	−0.0298002	+	0.116897i
$316$	0.336837	−	1.03668i	0.0189486	−	0.0583177i
$317$	−1.61549	−	1.17372i	−0.0907347	−	0.0659226i	0.541493	−	0.840705i	$-0.317859\pi$
$317$	−1.61549	−	1.17372i	−0.0907347	−	0.0659226i	−0.632228	+	0.774783i	$0.717859\pi$
$318$	13.8947			0.779178
$319$	−15.5017	−	11.2626i	−0.867926	−	0.630585i
$320$	−0.826721	−	2.07763i	−0.0462151	−	0.116143i
$321$	−5.66953	+	4.11915i	−0.316442	+	0.229909i
$322$	−1.24154	+	0.902031i	−0.0691883	+	0.0502682i
$323$	−0.0718528	−	0.221140i	−0.00399800	−	0.0123046i
$324$	−3.45703			−0.192057
$325$	−3.95608	+	21.1326i	−0.219444	+	1.17223i
$326$	−7.19760			−0.398638
$327$	1.03246	+	3.17759i	0.0570952	+	0.175721i
$328$	0.150471	−	0.109323i	0.00830835	−	0.00603637i
$329$	−4.02553	+	2.92472i	−0.221935	+	0.161245i
$330$	−2.41993	+	9.49268i	−0.133213	+	0.522555i
$331$	17.2293	+	12.5178i	0.947008	+	0.688042i	0.950097	−	0.311954i	$-0.100983\pi$
$331$	17.2293	+	12.5178i	0.947008	+	0.688042i	−0.00308920	+	0.999995i	$0.500983\pi$
$332$	−3.09654			−0.169945
$333$	0.193457	+	0.140555i	0.0106014	+	0.00770236i
$334$	−4.07930	+	12.5548i	−0.223209	+	0.686967i
$335$	3.68460	+	2.32945i	0.201311	+	0.127272i
$336$	−0.299434	−	0.921562i	−0.0163354	−	0.0502753i
$337$	−9.97246	+	30.6921i	−0.543234	+	1.67190i	0.181917	+	0.983314i	$0.441770\pi$
$337$	−9.97246	+	30.6921i	−0.543234	+	1.67190i	−0.725151	+	0.688590i	$0.758230\pi$
$338$	−1.69635	+	5.22083i	−0.0922693	+	0.283976i
$339$	−8.23220	−	25.3361i	−0.447112	−	1.37607i
$340$	0.518849	−	0.0335380i	0.0281385	−	0.00181885i
$341$	−4.63962	+	14.2793i	−0.251250	+	0.773267i
$342$	−1.04492	−	0.759177i	−0.0565027	−	0.0410516i
$343$	9.97143			0.538406
$344$	7.04438	+	5.11804i	0.379807	+	0.275946i
$345$	5.11382	+	3.23302i	0.275319	+	0.174060i
$346$	4.24938	−	3.08735i	0.228448	−	0.165977i
$347$	27.8921	−	20.2648i	1.49733	−	1.08787i	0.525898	−	0.850547i	$-0.323729\pi$
$347$	27.8921	−	20.2648i	1.49733	−	1.08787i	0.971430	−	0.237326i	$-0.0762708\pi$
$348$	−2.30898	−	7.10630i	−0.123774	−	0.380937i
$349$	−13.6381			−0.730032			−0.365016	−	0.931001i	$-0.618937\pi$
$349$	−13.6381			−0.730032			−0.365016	+	0.931001i	$0.618937\pi$
$350$	1.58976	+	3.34852i	0.0849765	+	0.178986i
$351$	24.1200			1.28743
$352$	1.03577	+	3.18776i	0.0552066	+	0.169908i
$353$	−7.68271	+	5.58181i	−0.408909	+	0.297090i	−0.773160	−	0.634211i	$-0.781325\pi$
$353$	−7.68271	+	5.58181i	−0.408909	+	0.297090i	0.364251	+	0.931301i	$0.381325\pi$
$354$	5.45320	−	3.96198i	0.289834	−	0.210577i
$355$	−12.8899	+	10.7008i	−0.684126	+	0.567940i
$356$	5.61201	+	4.07736i	0.297436	+	0.216100i
$357$	0.225310			0.0119246
$358$	−14.5006	−	10.5353i	−0.766378	−	0.556806i
$359$	9.02375	−	27.7722i	0.476255	−	1.46576i	−0.368002	−	0.929825i	$-0.619958\pi$
$359$	9.02375	−	27.7722i	0.476255	−	1.46576i	0.844257	−	0.535938i	$-0.180042\pi$
$360$	2.22214	−	1.84475i	0.117117	−	0.0972269i
$361$	0.309017	+	0.951057i	0.0162641	+	0.0500556i
$362$	−2.53715	+	7.80854i	−0.133349	+	0.410408i
$363$	0.0947777	−	0.291696i	0.00497454	−	0.0153101i
$364$	0.985070	+	3.03173i	0.0516317	+	0.158906i
$365$	−2.48914	−	6.25545i	−0.130288	−	0.327425i
$366$	4.56715	−	14.0562i	0.238729	−	0.734732i
$367$	−26.8843	−	19.5326i	−1.40335	−	1.01959i	−0.994248	−	0.107104i	$-0.965842\pi$
$367$	−26.8843	−	19.5326i	−1.40335	−	1.01959i	−0.409101	−	0.912489i	$-0.634158\pi$
$368$	2.07005			0.107909
$369$	0.194346	+	0.141201i	0.0101173	+	0.00735062i
$370$	0.413126	−	0.0267041i	0.0214774	−	0.00138828i
$371$	−6.37579	+	4.63228i	−0.331014	+	0.240496i
$372$	−4.73668	+	3.44140i	−0.245585	+	0.178428i
$373$	−8.91466	−	27.4365i	−0.461584	−	1.42061i	−0.863229	−	0.504813i	$-0.831561\pi$
$373$	−8.91466	−	27.4365i	−0.461584	−	1.42061i	0.401645	−	0.915795i	$-0.368439\pi$
$374$	−0.779366			−0.0403000
$375$	9.94854	−	10.7041i	0.513740	−	0.552758i
$376$	6.71187			0.346138
$377$	7.59601	+	23.3781i	0.391215	+	1.20403i
$378$	3.36429	−	2.44430i	0.173041	−	0.125721i
$379$	8.41532	−	6.11409i	0.432266	−	0.314060i	−0.350288	−	0.936642i	$-0.613916\pi$
$379$	8.41532	−	6.11409i	0.432266	−	0.314060i	0.782554	+	0.622582i	$0.213916\pi$
$380$	−2.23141	+	0.144237i	−0.114469	+	0.00739918i
$381$	−7.17461	−	5.21266i	−0.367567	−	0.267053i
$382$	−1.29775			−0.0663984
$383$	−27.3380	−	19.8622i	−1.39691	−	1.01491i	−0.995067	−	0.0992013i	$-0.968371\pi$
$383$	−27.3380	−	19.8622i	−1.39691	−	1.01491i	−0.401839	−	0.915710i	$-0.631629\pi$
$384$	−0.403904	+	1.24309i	−0.0206117	+	0.0634362i
$385$	−2.05429	−	5.16261i	−0.104696	−	0.263111i
$386$	8.31344	+	25.5861i	0.423143	+	1.30230i
$387$	−3.47529	+	10.6959i	−0.176659	+	0.543701i
$388$	3.83784	−	11.8117i	0.194837	−	0.599646i
$389$	−10.7779	−	33.1709i	−0.546460	−	1.68183i	−0.717492	−	0.696567i	$-0.754710\pi$
$389$	−10.7779	−	33.1709i	−0.546460	−	1.68183i	0.171032	−	0.985266i	$-0.445290\pi$
$390$	9.66954	−	8.02735i	0.489636	−	0.406481i
$391$	−0.148739	+	0.457771i	−0.00752205	+	0.0231505i
$392$	−5.21849	−	3.79145i	−0.263573	−	0.191497i
$393$	7.80047			0.393481
$394$	−7.35211	−	5.34162i	−0.370394	−	0.269107i
$395$	1.87536	−	1.55686i	0.0943595	−	0.0783344i
$396$	−3.50237	+	2.54462i	−0.176001	+	0.127872i
$397$	2.50833	−	1.82240i	0.125889	−	0.0914639i	−0.523059	−	0.852297i	$-0.675209\pi$
$397$	2.50833	−	1.82240i	0.125889	−	0.0914639i	0.648948	+	0.760833i	$0.275209\pi$
$398$	−1.10885	−	3.41269i	−0.0555817	−	0.171063i
$399$	−0.968987			−0.0485100
$400$	0.920030	−	4.91463i	0.0460015	−	0.245731i
$401$	9.62317			0.480558			0.240279	−	0.970704i	$-0.422761\pi$
$401$	9.62317			0.480558			0.240279	+	0.970704i	$0.422761\pi$
$402$	−0.787409	−	2.42340i	−0.0392724	−	0.120868i
$403$	15.5826	−	11.3214i	0.776226	−	0.563961i
$404$	−6.45065	+	4.68667i	−0.320932	+	0.233171i
$405$	−6.53389	−	4.13081i	−0.324672	−	0.205261i
$406$	3.42863	+	2.49104i	0.170160	+	0.123628i
$407$	−0.620558			−0.0307599
$408$	−0.245875	−	0.178639i	−0.0121726	−	0.00884395i
$409$	5.60796	−	17.2595i	0.277296	−	0.853429i	−0.711307	−	0.702882i	$-0.751896\pi$
$409$	5.60796	−	17.2595i	0.277296	−	0.853429i	0.988603	−	0.150547i	$-0.0481036\pi$
$410$	0.415024	−	0.0268268i	0.0204966	−	0.00132488i
$411$	−0.426302	−	1.31202i	−0.0210279	−	0.0647173i
$412$	−2.86386	+	8.81407i	−0.141092	+	0.434238i
$413$	−1.18141	+	3.63602i	−0.0581336	+	0.178917i
$414$	0.826205	+	2.54280i	0.0406057	+	0.124972i
$415$	−5.85255	−	3.70005i	−0.287290	−	0.181629i
$416$	1.32876	−	4.08949i	0.0651476	−	0.200504i
$417$	2.72996	+	1.98343i	0.133687	+	0.0971290i
$418$	3.35181			0.163943
$419$	17.1385	+	12.4519i	0.837272	+	0.608314i	0.921607	−	0.388124i	$-0.126877\pi$
$419$	17.1385	+	12.4519i	0.837272	+	0.608314i	−0.0843353	+	0.996437i	$0.526877\pi$
$420$	0.535236	−	2.09957i	0.0261169	−	0.102449i
$421$	−32.3441	+	23.4994i	−1.57636	+	1.14529i	−0.655628	+	0.755084i	$0.727596\pi$
$421$	−32.3441	+	23.4994i	−1.57636	+	1.14529i	−0.920728	+	0.390205i	$0.872404\pi$
$422$	8.88596	−	6.45603i	0.432562	−	0.314275i
$423$	2.67886	+	8.24468i	0.130251	+	0.400870i
$424$	10.6305			0.516263
$425$	1.02071	+	0.556585i	0.0495119	+	0.0269984i
$426$	9.79263			0.474454
$427$	2.59043	+	7.97251i	0.125359	+	0.385817i
$428$	−4.33761	+	3.15146i	−0.209666	+	0.152332i
$429$	−15.2404	+	11.0728i	−0.735813	+	0.534600i
$430$	7.19853	+	18.0906i	0.347144	+	0.872405i
$431$	−29.2191	−	21.2289i	−1.40743	−	1.02256i	−0.993689	−	0.112167i	$-0.964221\pi$
$431$	−29.2191	−	21.2289i	−1.40743	−	1.02256i	−0.413744	−	0.910393i	$-0.635779\pi$
$432$	−5.60937			−0.269881
$433$	−9.46616	−	6.87757i	−0.454915	−	0.330515i	0.336619	−	0.941641i	$-0.390717\pi$
$433$	−9.46616	−	6.87757i	−0.454915	−	0.330515i	−0.791533	+	0.611126i	$0.790717\pi$
$434$	1.02618	−	3.15827i	0.0492583	−	0.151602i
$435$	4.12729	−	16.1901i	0.197888	−	0.776256i
$436$	0.789909	+	2.43109i	0.0378298	+	0.116428i
$437$	0.639681	−	1.96873i	0.0306001	−	0.0941774i
$438$	−1.21610	+	3.74277i	−0.0581075	+	0.178836i
$439$	2.17105	+	6.68179i	0.103618	+	0.318905i	0.989404	−	0.145191i	$-0.0463795\pi$
$439$	2.17105	+	6.68179i	0.103618	+	0.318905i	−0.885785	+	0.464095i	$0.846380\pi$
$440$	−1.85143	+	7.26261i	−0.0882635	+	0.346231i
$441$	2.57450	−	7.92351i	0.122595	−	0.377310i
$442$	0.808876	+	0.587683i	0.0384743	+	0.0279532i
$443$	39.8416			1.89293			0.946465	−	0.322807i	$-0.104626\pi$
$443$	39.8416			1.89293			0.946465	+	0.322807i	$0.104626\pi$
$444$	−0.195775	−	0.142239i	−0.00929106	−	0.00675035i
$445$	5.73482	+	14.4121i	0.271857	+	0.683201i
$446$	7.18455	−	5.21988i	0.340198	−	0.247169i
$447$	12.2357	−	8.88977i	0.578730	−	0.420472i
$448$	−0.229089	−	0.705064i	−0.0108234	−	0.0333111i
$449$	−11.5983			−0.547359			−0.273680	−	0.961821i	$-0.588241\pi$
$449$	−11.5983			−0.547359			−0.273680	+	0.961821i	$0.588241\pi$
$450$	6.40421	−	0.831399i	0.301897	−	0.0391925i
$451$	−0.623410			−0.0293552
$452$	−6.29825	−	19.3840i	−0.296245	−	0.911748i
$453$	−11.2678	+	8.18652i	−0.529406	+	0.384636i
$454$	2.19023	−	1.59129i	0.102793	−	0.0746832i
$455$	−1.76081	+	6.90713i	−0.0825480	+	0.323811i
$456$	1.05744	+	0.768272i	0.0495189	+	0.0359776i
$457$	−5.25252			−0.245702			−0.122851	−	0.992425i	$-0.539204\pi$
$457$	−5.25252			−0.245702			−0.122851	+	0.992425i	$0.539204\pi$
$458$	−8.46646	−	6.15124i	−0.395612	−	0.287429i
$459$	0.403049	−	1.24046i	0.0188127	−	0.0578996i
$460$	3.91246	+	2.47350i	0.182419	+	0.115328i
$461$	−7.91524	−	24.3606i	−0.368649	−	1.13459i	−0.947664	−	0.319269i	$-0.896563\pi$
$461$	−7.91524	−	24.3606i	−0.368649	−	1.13459i	0.579015	−	0.815317i	$-0.303437\pi$
$462$	−1.00365	+	3.08890i	−0.0466938	+	0.143709i
$463$	8.22530	−	25.3149i	0.382262	−	1.17648i	−0.556185	−	0.831059i	$-0.687735\pi$
$463$	8.22530	−	25.3149i	0.382262	−	1.17648i	0.938447	−	0.345424i	$-0.112265\pi$
$464$	−1.76654	−	5.43685i	−0.0820095	−	0.252399i
$465$	−13.0646	+	0.844485i	−0.605856	+	0.0391620i
$466$	3.16743	−	9.74834i	0.146728	−	0.451583i
$467$	−25.3922	−	18.4485i	−1.17501	−	0.853695i	−0.183411	−	0.983036i	$-0.558714\pi$
$467$	−25.3922	−	18.4485i	−1.17501	−	0.853695i	−0.991600	+	0.129341i	$0.958714\pi$
$468$	5.55376			0.256723
$469$	1.16923	+	0.849498i	0.0539902	+	0.0392262i
$470$	12.6856	+	8.02001i	0.585144	+	0.369936i
$471$	−4.33193	+	3.14733i	−0.199605	+	0.145021i
$472$	4.17211	−	3.03121i	0.192037	−	0.139523i
$473$	−9.01876	−	27.7569i	−0.414683	−	1.27626i
$474$	−1.42473			−0.0654402
$475$	−4.38978	−	2.39370i	−0.201417	−	0.109831i
$476$	0.172379			0.00790096
$477$	4.24288	+	13.0582i	0.194268	+	0.597896i
$478$	−3.20957	+	2.33189i	−0.146802	+	0.106658i
$479$	12.3910	−	9.00257i	0.566158	−	0.411338i	−0.267549	−	0.963544i	$-0.586214\pi$
$479$	12.3910	−	9.00257i	0.566158	−	0.411338i	0.833708	+	0.552206i	$0.186214\pi$
$480$	−2.24876	+	1.86685i	−0.102641	+	0.0852097i
$481$	0.644055	+	0.467934i	0.0293664	+	0.0213359i
$482$	7.28963			0.332034
$483$	1.62277	+	1.17901i	0.0738385	+	0.0536468i
$484$	0.0725120	−	0.223169i	0.00329600	−	0.0101441i
$485$	21.3674	−	17.7386i	0.970244	−	0.805466i
$486$	−3.80387	−	11.7071i	−0.172547	−	0.531045i
$487$	4.85591	−	14.9449i	0.220042	−	0.677220i	−0.778715	−	0.627378i	$-0.784128\pi$
$487$	4.85591	−	14.9449i	0.220042	−	0.677220i	0.998757	−	0.0498422i	$-0.0158718\pi$
$488$	3.49421	−	10.7541i	0.158176	−	0.486814i
$489$	2.90714	+	8.94726i	0.131465	+	0.404609i
$490$	−5.33268	−	13.4015i	−0.240906	−	0.605419i
$491$	−0.236415	+	0.727611i	−0.0106693	+	0.0328366i	−0.956249	−	0.292553i	$-0.905495\pi$
$491$	−0.236415	+	0.727611i	−0.0106693	+	0.0328366i	0.945580	+	0.325389i	$0.105495\pi$
$492$	−0.196674	−	0.142892i	−0.00886676	−	0.00644208i
$493$	1.32924			0.0598658
$494$	−3.47873	−	2.52744i	−0.156515	−	0.113715i
$495$	−9.66015	+	0.624424i	−0.434191	+	0.0280658i
$496$	−3.62391	+	2.63293i	−0.162719	+	0.118222i
$497$	−4.49348	+	3.26470i	−0.201560	+	0.146442i
$498$	1.25070	+	3.84927i	0.0560454	+	0.172490i
$499$	−38.0064			−1.70140			−0.850701	−	0.525650i	$-0.823822\pi$
$499$	−38.0064			−1.70140			−0.850701	+	0.525650i	$0.823822\pi$
$500$	7.61137	−	8.18944i	0.340391	−	0.366243i
$501$	17.2544			0.770868
$502$	−4.82028	−	14.8353i	−0.215139	−	0.662131i
$503$	−17.2188	+	12.5102i	−0.767748	+	0.557801i	−0.901277	−	0.433243i	$-0.857369\pi$
$503$	−17.2188	+	12.5102i	−0.767748	+	0.557801i	0.133529	+	0.991045i	$0.457369\pi$
$504$	0.774647	−	0.562814i	0.0345055	−	0.0250697i
$505$	−17.7920	+	1.15006i	−0.791735	+	0.0511771i
$506$	−5.61330	−	4.07830i	−0.249542	−	0.181303i
$507$	7.17513			0.318659
$508$	−5.48911	−	3.98808i	−0.243540	−	0.176942i
$509$	2.86892	−	8.82961i	0.127162	−	0.391366i	−0.867126	−	0.498088i	$-0.834036\pi$
$509$	2.86892	−	8.82961i	0.127162	−	0.391366i	0.994289	+	0.106722i	$0.0340356\pi$
$510$	−0.251256	−	0.631430i	−0.0111258	−	0.0279602i
$511$	−0.689755	−	2.12285i	−0.0305130	−	0.0939093i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−1.73339	+	5.33483i	−0.0765311	+	0.235539i
$514$	−5.72998	−	17.6351i	−0.252738	−	0.777849i
$515$	−15.9447	+	13.2368i	−0.702609	+	0.583284i
$516$	3.51693	−	10.8240i	0.154824	−	0.476500i
$517$	−18.2004	−	13.2234i	−0.800452	−	0.581563i
$518$	0.137254			0.00603059
$519$	−5.55420	−	4.03536i	−0.243802	−	0.177133i
$520$	7.39792	−	6.14152i	0.324420	−	0.269324i
$521$	−26.9394	+	19.5727i	−1.18024	+	0.857494i	−0.992199	−	0.124668i	$-0.960213\pi$
$521$	−26.9394	+	19.5727i	−1.18024	+	0.857494i	−0.188040	+	0.982161i	$0.560213\pi$
$522$	5.97342	−	4.33994i	0.261449	−	0.189954i
$523$	2.87454	+	8.84694i	0.125695	+	0.386850i	0.994027	−	0.109134i	$-0.0348077\pi$
$523$	2.87454	+	8.84694i	0.125695	+	0.386850i	−0.868332	+	0.495983i	$0.834808\pi$
$524$	5.96794			0.260711
$525$	3.52039	−	3.32870i	0.153643	−	0.145276i
$526$	−3.68699			−0.160761
$527$	−0.321858	−	0.990577i	−0.0140203	−	0.0431502i
$528$	3.54433	−	2.57510i	0.154247	−	0.112067i
$529$	15.1407	−	11.0003i	0.658290	−	0.478276i
$530$	20.0920	+	12.7024i	0.872740	+	0.551757i
$531$	5.38865	+	3.91508i	0.233847	+	0.169900i
$532$	−0.741348			−0.0321415
$533$	0.647015	+	0.470084i	0.0280253	+	0.0203616i
$534$	2.80181	−	8.62310i	0.121246	−	0.373158i
$535$	−11.9639	+	0.773337i	−0.517245	+	0.0334343i
$536$	−0.602427	−	1.85408i	−0.0260209	−	0.0800840i
$537$	−7.23945	+	22.2807i	−0.312405	+	0.961485i
$538$	−8.78939	+	27.0510i	−0.378937	+	1.16625i
$539$	6.68112	+	20.5624i	0.287776	+	0.885684i
$540$	−10.6019	−	6.70264i	−0.456232	−	0.288436i
$541$	7.60540	−	23.4070i	0.326982	−	1.00635i	−0.643556	−	0.765399i	$-0.722542\pi$
$541$	7.60540	−	23.4070i	0.326982	−	1.00635i	0.970538	−	0.240948i	$-0.0774583\pi$
$542$	6.22427	+	4.52219i	0.267355	+	0.194245i
$543$	10.7315			0.460532
$544$	−0.188113	−	0.136672i	−0.00806528	−	0.00585977i
$545$	−1.41196	+	5.53870i	−0.0604817	+	0.237252i
$546$	3.37084	−	2.44906i	0.144259	−	0.104810i
$547$	−20.3731	+	14.8019i	−0.871090	+	0.632884i	−0.930879	−	0.365327i	$-0.880957\pi$
$547$	−20.3731	+	14.8019i	−0.871090	+	0.632884i	0.0597893	+	0.998211i	$0.480957\pi$
$548$	−0.326153	−	1.00380i	−0.0139326	−	0.0428800i
$549$	14.6047			0.623311
$550$	−12.1774	+	11.5143i	−0.519244	+	0.490970i
$551$	−5.71664			−0.243537
$552$	−0.836102	−	2.57326i	−0.0355869	−	0.109525i
$553$	0.653758	−	0.474983i	0.0278006	−	0.0201983i
$554$	2.87464	−	2.08855i	0.122132	−	0.0887340i
$555$	−0.200059	−	0.502767i	−0.00849203	−	0.0213413i
$556$	2.08862	+	1.51747i	0.0885773	+	0.0643552i
$557$	−25.4508			−1.07839			−0.539193	−	0.842182i	$-0.681271\pi$
$557$	−25.4508			−1.07839			−0.539193	+	0.842182i	$0.681271\pi$
$558$	−4.68061	−	3.40066i	−0.198146	−	0.143961i
$559$	−11.5699	+	35.6085i	−0.489355	+	1.50608i
$560$	0.409496	−	1.60633i	0.0173044	−	0.0678798i
$561$	0.314789	+	0.968821i	0.0132904	+	0.0409037i
$562$	7.98035	−	24.5610i	0.336631	−	1.03604i
$563$	−1.28744	+	3.96232i	−0.0542590	+	0.166992i	−0.974514	−	0.224328i	$-0.927981\pi$
$563$	−1.28744	+	3.96232i	−0.0542590	+	0.166992i	0.920255	+	0.391320i	$0.127981\pi$
$564$	−2.71095	−	8.34345i	−0.114152	−	0.351323i
$565$	11.2581	−	44.1622i	0.473632	−	1.85792i
$566$	−6.37459	+	19.6190i	−0.267944	+	0.824646i
$567$	−2.07340	−	1.50641i	−0.0870745	−	0.0632633i
$568$	7.49209			0.314361
$569$	8.33074	+	6.05264i	0.349243	+	0.253740i	0.748551	−	0.663077i	$-0.230750\pi$
$569$	8.33074	+	6.05264i	0.349243	+	0.253740i	−0.399308	+	0.916817i	$0.630750\pi$
$570$	1.08058	+	2.71559i	0.0452603	+	0.113743i
$571$	−17.9709	+	13.0566i	−0.752058	+	0.546402i	−0.896464	−	0.443116i	$-0.853873\pi$
$571$	−17.9709	+	13.0566i	−0.752058	+	0.546402i	0.144406	+	0.989518i	$0.453873\pi$
$572$	−11.6600	+	8.47152i	−0.487531	+	0.354212i
$573$	0.524165	+	1.61321i	0.0218973	+	0.0673930i
$574$	0.137885			0.00575519
$575$	4.43907	+	9.34999i	0.185122	+	0.389922i
$576$	−1.29159			−0.0538162
$577$	6.99894	+	21.5405i	0.291370	+	0.896743i	0.984417	+	0.175851i	$0.0562677\pi$
$577$	6.99894	+	21.5405i	0.291370	+	0.896743i	−0.693047	+	0.720892i	$0.743732\pi$
$578$	−13.7095	+	9.96057i	−0.570242	+	0.414305i
$579$	28.4480	−	20.6687i	1.18226	−	0.858962i
$580$	3.15768	−	12.3866i	0.131116	−	0.514327i
$581$	−1.85719	−	1.34933i	−0.0770491	−	0.0559795i
$582$	−16.2331			−0.672883
$583$	−28.8265	−	20.9437i	−1.19387	−	0.867398i
$584$	−0.930407	+	2.86350i	−0.0385005	+	0.118492i
$585$	10.4968	+	6.63619i	0.433988	+	0.274373i
$586$	−7.84800	−	24.1537i	−0.324198	−	0.997779i
$587$	11.8971	−	36.6157i	0.491048	−	1.51129i	−0.331979	−	0.943287i	$-0.607716\pi$
$587$	11.8971	−	36.6157i	0.491048	−	1.51129i	0.823026	−	0.568003i	$-0.192284\pi$
$588$	−2.60535	+	8.01843i	−0.107443	+	0.330674i
$589$	1.38421	+	4.26017i	0.0570355	+	0.175537i
$590$	11.5074	−	0.743829i	0.473752	−	0.0306230i
$591$	−3.67056	+	11.2968i	−0.150987	+	0.464690i
$592$	−0.149782	−	0.108823i	−0.00615601	−	0.00447261i
$593$	−3.75356			−0.154140			−0.0770701	−	0.997026i	$-0.524557\pi$
$593$	−3.75356			−0.154140			−0.0770701	+	0.997026i	$0.524557\pi$
$594$	15.2108	+	11.0513i	0.624106	+	0.453440i
$595$	0.325801	+	0.205975i	0.0133565	+	0.00844417i
$596$	9.36124	−	6.80134i	0.383451	−	0.278594i
$597$	−3.79442	+	2.75680i	−0.155295	+	0.112828i
$598$	2.75059	+	8.46545i	0.112480	+	0.346178i
$599$	32.2901			1.31934			0.659670	−	0.751556i	$-0.270696\pi$
$599$	32.2901			1.31934			0.659670	+	0.751556i	$0.270696\pi$
$600$	−6.48092	+	0.841358i	−0.264583	+	0.0343483i
$601$	26.4171			1.07758			0.538789	−	0.842441i	$-0.318882\pi$
$601$	26.4171			1.07758			0.538789	+	0.842441i	$0.318882\pi$
$602$	1.99475	+	6.13922i	0.0813001	+	0.250216i
$603$	2.03706	−	1.48001i	0.0829555	−	0.0602707i
$604$	−8.62069	+	6.26330i	−0.350771	+	0.254850i
$605$	0.403715	−	0.335152i	0.0164133	−	0.0136258i
$606$	8.43140	+	6.12577i	0.342502	+	0.248842i
$607$	31.2193			1.26715			0.633576	−	0.773680i	$-0.281586\pi$
$607$	31.2193			1.26715			0.633576	+	0.773680i	$0.281586\pi$
$608$	0.809017	+	0.587785i	0.0328100	+	0.0238378i
$609$	1.71175	−	5.26824i	0.0693638	−	0.213480i
$610$	19.4542	−	16.1503i	0.787678	−	0.653906i
$611$	8.91843	+	27.4481i	0.360801	+	1.11043i
$612$	0.0928043	−	0.285622i	0.00375139	−	0.0115456i
$613$	5.06569	−	15.5906i	0.204601	−	0.629698i	−0.795128	−	0.606441i	$-0.792597\pi$
$613$	5.06569	−	15.5906i	0.204601	−	0.629698i	0.999730	−	0.0232566i	$-0.00740348\pi$
$614$	6.92392	+	21.3096i	0.279427	+	0.859987i
$615$	−0.200978	−	0.505077i	−0.00810422	−	0.0203667i
$616$	−0.767864	+	2.36324i	−0.0309381	+	0.0952177i
$617$	6.01942	+	4.37336i	0.242333	+	0.176065i	0.702322	−	0.711859i	$-0.252147\pi$
$617$	6.01942	+	4.37336i	0.242333	+	0.176065i	−0.459989	+	0.887925i	$0.652147\pi$
$618$	12.1134			0.487273
$619$	13.3621	+	9.70816i	0.537070	+	0.390204i	0.822996	−	0.568048i	$-0.192301\pi$
$619$	13.3621	+	9.70816i	0.537070	+	0.390204i	−0.285926	+	0.958252i	$0.592301\pi$
$620$	−9.99539	+	0.646094i	−0.401425	+	0.0259478i
$621$	9.39405	−	6.82518i	0.376970	−	0.273885i
$622$	−11.9655	+	8.69342i	−0.479771	+	0.348574i
$623$	1.58915	+	4.89090i	0.0636680	+	0.195950i
$624$	−5.62029			−0.224992
$625$	24.1713	−	6.38345i	0.966852	−	0.255338i
$626$	−31.6170			−1.26367
$627$	−1.35381	−	4.16660i	−0.0540660	−	0.166398i
$628$	−3.31425	+	2.40794i	−0.132253	+	0.0960874i
$629$	0.0348275	−	0.0253036i	0.00138866	−	0.00100892i
$630$	2.13661	−	0.138109i	0.0851247	−	0.00550239i
$631$	26.5459	+	19.2867i	1.05678	+	0.767793i	0.973489	−	0.228733i	$-0.0734583\pi$
$631$	26.5459	+	19.2867i	1.05678	+	0.767793i	0.0832866	+	0.996526i	$0.473458\pi$
$632$	−1.09003			−0.0433590
$633$	−11.6145	−	8.43843i	−0.461635	−	0.335397i
$634$	−0.617061	+	1.89912i	−0.0245066	+	0.0754236i
$635$	−5.60924	−	14.0965i	−0.222596	−	0.559404i
$636$	−4.29371	−	13.2147i	−0.170257	−	0.523996i
$637$	8.57101	−	26.3789i	0.339596	−	1.04517i
$638$	−5.92111	+	18.2233i	−0.234419	+	0.721467i
$639$	2.99027	+	9.20309i	0.118293	+	0.364069i
$640$	−1.72047	+	1.42828i	−0.0680075	+	0.0564577i
$641$	−12.3274	+	37.9399i	−0.486904	+	1.49854i	0.342300	+	0.939591i	$0.388794\pi$
$641$	−12.3274	+	37.9399i	−0.486904	+	1.49854i	−0.829204	+	0.558946i	$0.811206\pi$
$642$	5.66953	+	4.11915i	0.223758	+	0.162570i
$643$	50.1500			1.97772			0.988861	−	0.148842i	$-0.0475546\pi$
$643$	50.1500			1.97772			0.988861	+	0.148842i	$0.0475546\pi$
$644$	1.24154	+	0.902031i	0.0489235	+	0.0355450i
$645$	19.5807	−	16.2553i	0.770989	−	0.640051i
$646$	−0.188113	+	0.136672i	−0.00740121	+	0.00537729i
$647$	−6.92283	+	5.02973i	−0.272165	+	0.197739i	−0.715493	−	0.698620i	$-0.753798\pi$
$647$	−6.92283	+	5.02973i	−0.272165	+	0.197739i	0.443328	+	0.896359i	$0.353798\pi$
$648$	1.06828	+	3.28783i	0.0419660	+	0.129158i
$649$	−17.2853			−0.678508
$650$	21.3208	−	2.76788i	0.836271	−	0.108565i
$651$	−4.34049			−0.170117
$652$	2.22418	+	6.84532i	0.0871056	+	0.268083i
$653$	−4.17004	+	3.02971i	−0.163186	+	0.118562i	−0.666381	−	0.745611i	$-0.732158\pi$
$653$	−4.17004	+	3.02971i	−0.163186	+	0.118562i	0.503195	+	0.864173i	$0.332158\pi$
$654$	2.70302	−	1.96386i	0.105696	−	0.0767928i
$655$	11.2796	+	7.13110i	0.440730	+	0.278635i
$656$	−0.150471	−	0.109323i	−0.00587489	−	0.00426836i
$657$	−3.88880			−0.151716
$658$	4.02553	+	2.92472i	0.156931	+	0.114017i
$659$	11.2875	−	34.7395i	0.439700	−	1.35326i	−0.448493	−	0.893786i	$-0.648039\pi$
$659$	11.2875	−	34.7395i	0.439700	−	1.35326i	0.888193	−	0.459471i	$-0.151961\pi$
$660$	9.77587	−	0.631904i	0.380525	−	0.0245968i
$661$	7.85172	+	24.1651i	0.305397	+	0.939914i	0.979529	+	0.201303i	$0.0645177\pi$
$661$	7.85172	+	24.1651i	0.305397	+	0.939914i	−0.674132	+	0.738610i	$0.735482\pi$
$662$	6.58101	−	20.2543i	0.255778	−	0.787204i
$663$	0.403834	−	1.24287i	0.0156836	−	0.0482692i
$664$	0.956882	+	2.94498i	0.0371342	+	0.114287i
$665$	−1.40117	−	0.885837i	−0.0543350	−	0.0343513i
$666$	0.0738941	−	0.227423i	0.00286334	−	0.00881245i
$667$	9.57369	+	6.95569i	0.370695	+	0.269325i
$668$	13.2009			0.510757
$669$	−9.39065	−	6.82271i	−0.363064	−	0.263781i
$670$	1.07684	−	4.22410i	0.0416018	−	0.163191i
$671$	−30.6623	+	22.2774i	−1.18370	+	0.860011i
$672$	−0.783927	+	0.569556i	−0.0302406	+	0.0219711i
$673$	−8.01632	−	24.6717i	−0.309006	−	0.951024i	−0.978152	−	0.207892i	$-0.933340\pi$
$673$	−8.01632	−	24.6717i	−0.309006	−	0.951024i	0.669145	−	0.743131i	$-0.266660\pi$
$674$	32.2716			1.24305
$675$	−12.0289	−	25.3364i	−0.462992	−	0.975198i
$676$	5.48951			0.211135
$677$	−3.78292	−	11.6426i	−0.145390	−	0.447463i	0.851671	−	0.524076i	$-0.175589\pi$
$677$	−3.78292	−	11.6426i	−0.145390	−	0.447463i	−0.997061	+	0.0766132i	$0.975589\pi$
$678$	−21.5522	+	15.6586i	−0.827707	+	0.601364i
$679$	7.44877	−	5.41185i	0.285857	−	0.207688i
$680$	−0.192230	−	0.483091i	−0.00737167	−	0.0185257i
$681$	−2.86277	−	2.07992i	−0.109701	−	0.0797027i
$682$	15.0141			0.574921
$683$	14.6625	+	10.6529i	0.561045	+	0.407623i	0.831841	−	0.555014i	$-0.187287\pi$
$683$	14.6625	+	10.6529i	0.561045	+	0.407623i	−0.270796	+	0.962637i	$0.587287\pi$
$684$	−0.399123	+	1.22837i	−0.0152609	+	0.0469681i
$685$	0.582998	−	2.28692i	0.0222752	−	0.0873789i
$686$	−3.08134	−	9.48339i	−0.117646	−	0.362077i
$687$	−4.22691	+	13.0091i	−0.161267	+	0.496327i
$688$	2.69071	−	8.28116i	0.102582	−	0.315716i
$689$	14.1253	+	43.4734i	0.538133	+	1.65620i
$690$	1.49453	−	5.86259i	0.0568958	−	0.223185i
$691$	2.50013	−	7.69461i	0.0951095	−	0.292717i	−0.892173	−	0.451694i	$-0.850820\pi$
$691$	2.50013	−	7.69461i	0.0951095	−	0.292717i	0.987282	+	0.158978i	$0.0508197\pi$
$692$	−4.24938	−	3.08735i	−0.161537	−	0.117364i
$693$	−3.20942			−0.121916
$694$	−27.8921	−	20.2648i	−1.05877	−	0.769242i
$695$	2.13433	+	5.36377i	0.0809597	+	0.203459i
$696$	−6.04498	+	4.39193i	−0.229134	+	0.166476i
$697$	0.0349875	−	0.0254199i	0.00132525	−	0.000962848i
$698$	4.21441	+	12.9706i	0.159518	+	0.490946i
$699$	−13.3974			−0.506736
$700$	2.69336	−	2.54670i	0.101800	−	0.0962564i
$701$	38.4437			1.45200			0.725998	−	0.687696i	$-0.241378\pi$
$701$	38.4437			1.45200			0.725998	+	0.687696i	$0.241378\pi$
$702$	−7.45348	−	22.9395i	−0.281314	−	0.865794i
$703$	−0.149782	+	0.108823i	−0.00564915	+	0.00410435i
$704$	2.71167	−	1.97015i	0.102200	−	0.0742527i
$705$	4.84582	−	19.0087i	0.182504	−	0.715909i
$706$	7.68271	+	5.58181i	0.289142	+	0.210074i
$707$	−5.91109			−0.222309
$708$	−5.45320	−	3.96198i	−0.204944	−	0.148900i
$709$	−2.65865	+	8.18248i	−0.0998477	+	0.307300i	−0.988487	−	0.151308i	$-0.951652\pi$
$709$	−2.65865	+	8.18248i	−0.0998477	+	0.307300i	0.888639	+	0.458607i	$0.151652\pi$
$710$	14.1603	+	8.95230i	0.531426	+	0.335974i
$711$	−0.435055	−	1.33896i	−0.0163158	−	0.0502150i
$712$	2.14360	−	6.59731i	0.0803347	−	0.247245i
$713$	2.86539	−	8.81876i	0.107310	−	0.330265i
$714$	−0.0696245	−	0.214282i	−0.00260563	−	0.00801930i
$715$	−32.1605	+	2.07882i	−1.20273	+	0.0777436i
$716$	−5.53872	+	17.0464i	−0.206992	+	0.637055i
$717$	4.19511	+	3.04793i	0.156669	+	0.113827i
$718$	−29.2015			−1.08979
$719$	33.3879	+	24.2577i	1.24516	+	0.904660i	0.997931	−	0.0642979i	$-0.0204808\pi$
$719$	33.3879	+	24.2577i	1.24516	+	0.904660i	0.247227	+	0.968958i	$0.420481\pi$
$720$	−2.44114	−	1.54332i	−0.0909760	−	0.0575162i
$721$	−5.55840	+	4.03841i	−0.207006	+	0.150398i
$722$	0.809017	−	0.587785i	0.0301085	−	0.0218751i
$723$	−2.94431	−	9.06167i	−0.109500	−	0.337007i
$724$	8.21038			0.305136
$725$	20.7689	−	19.6380i	0.771338	−	0.729337i
$726$	−0.306707			−0.0113830
$727$	−5.25178	−	16.1633i	−0.194778	−	0.599464i	−0.999979	−	0.00646259i	$-0.997943\pi$
$727$	−5.25178	−	16.1633i	−0.194778	−	0.599464i	0.805201	−	0.593001i	$-0.202057\pi$
$728$	2.57895	−	1.87371i	0.0955821	−	0.0694445i
$729$	−21.4070	+	15.5531i	−0.792850	+	0.576039i
$730$	−5.18009	+	4.30035i	−0.191724	+	0.159163i
$731$	1.63796	+	1.19005i	0.0605822	+	0.0440156i
$732$	−14.7796			−0.546270
$733$	−14.8868	−	10.8159i	−0.549856	−	0.399493i	0.277877	−	0.960617i	$-0.410369\pi$
$733$	−14.8868	−	10.8159i	−0.549856	−	0.399493i	−0.827732	+	0.561123i	$0.810369\pi$
$734$	−10.2689	+	31.6044i	−0.379032	+	1.16654i
$735$	−14.5054	+	12.0419i	−0.535040	+	0.444174i
$736$	−0.639681	−	1.96873i	−0.0235789	−	0.0725685i
$737$	−2.01922	+	6.21453i	−0.0743790	+	0.228915i
$738$	0.0742336	−	0.228468i	0.00273258	−	0.00841001i
$739$	−9.08243	−	27.9528i	−0.334103	−	1.02826i	−0.967162	−	0.254159i	$-0.918201\pi$
$739$	−9.08243	−	27.9528i	−0.334103	−	1.02826i	0.633060	−	0.774103i	$-0.281799\pi$
$740$	−0.153060	−	0.384654i	−0.00562660	−	0.0141402i
$741$	−1.73677	+	5.34521i	−0.0638017	+	0.196361i
$742$	6.37579	+	4.63228i	0.234062	+	0.170056i
$743$	−31.8112			−1.16704			−0.583520	−	0.812098i	$-0.698325\pi$
$743$	−31.8112			−1.16704			−0.583520	+	0.812098i	$0.698325\pi$
$744$	4.73668	+	3.44140i	0.173655	+	0.126168i
$745$	25.8200	−	1.66898i	0.945970	−	0.0611467i
$746$	−23.3389	+	16.9567i	−0.854497	+	0.620829i
$747$	−3.23563	+	2.35082i	−0.118385	+	0.0860120i
$748$	0.240837	+	0.741221i	0.00880588	+	0.0271017i
$749$	−3.97480			−0.145236
$750$	−13.2545	−	6.15387i	−0.483985	−	0.224708i
$751$	0.265489			0.00968785			0.00484392	−	0.999988i	$-0.498458\pi$
$751$	0.265489			0.00968785			0.00484392	+	0.999988i	$0.498458\pi$
$752$	−2.07408	−	6.38336i	−0.0756339	−	0.232777i
$753$	−16.4947	+	11.9841i	−0.601099	+	0.436724i
$754$	19.8866	−	14.4485i	0.724228	−	0.526183i
$755$	−23.7774	+	1.53695i	−0.865348	+	0.0559353i
$756$	−3.36429	−	2.44430i	−0.122358	−	0.0888984i
$757$	30.2951			1.10110			0.550548	−	0.834804i	$-0.314419\pi$
$757$	30.2951			1.10110			0.550548	+	0.834804i	$0.314419\pi$
$758$	−8.41532	−	6.11409i	−0.305658	−	0.222074i
$759$	−2.80246	+	8.62508i	−0.101723	+	0.313071i
$760$	0.826721	+	2.07763i	0.0299883	+	0.0753634i
$761$	−1.39331	−	4.28818i	−0.0505076	−	0.155446i	0.922622	−	0.385707i	$-0.126042\pi$
$761$	−1.39331	−	4.28818i	−0.0505076	−	0.155446i	−0.973129	+	0.230260i	$0.926042\pi$
$762$	−2.74046	+	8.43426i	−0.0992763	+	0.305541i
$763$	−0.585597	+	1.80228i	−0.0212000	+	0.0652470i
$764$	0.401025	+	1.23423i	0.0145086	+	0.0446528i
$765$	0.516693	−	0.428943i	0.0186811	−	0.0155085i
$766$	−10.4422	+	32.1377i	−0.377291	+	1.16118i
$767$	17.9398	+	13.0340i	0.647769	+	0.470632i
$768$	1.30706			0.0471645
$769$	19.8358	+	14.4116i	0.715298	+	0.519694i	0.884878	−	0.465822i	$-0.154241\pi$
$769$	19.8358	+	14.4116i	0.715298	+	0.519694i	−0.169581	+	0.985516i	$0.554241\pi$
$770$	−4.27512	+	3.54908i	−0.154065	+	0.127900i
$771$	−19.6076	+	14.2457i	−0.706150	+	0.513048i
$772$	21.7649	−	15.8131i	0.783335	−	0.569126i
$773$	0.706716	+	2.17505i	0.0254188	+	0.0782310i	0.962961	−	0.269640i	$-0.0869047\pi$
$773$	0.706716	+	2.17505i	0.0254188	+	0.0782310i	−0.937542	+	0.347871i	$0.886905\pi$
$774$	11.2463			0.404240
$775$	−19.6636	−	10.7224i	−0.706338	−	0.385159i
$776$	−12.4195			−0.445835
$777$	−0.0554375	−	0.170619i	−0.00198881	−	0.00612092i
$778$	−28.2169	+	20.5008i	−1.01162	+	0.734988i
$779$	−0.150471	+	0.109323i	−0.00539117	+	0.00391691i
$780$	−10.6225	−	6.71569i	−0.380347	−	0.240460i
$781$	−20.3161	−	14.7605i	−0.726967	−	0.528173i
$782$	0.481329			0.0172123
$783$	−25.9426	−	18.8484i	−0.927111	−	0.673586i
$784$	−1.99328	+	6.13470i	−0.0711887	+	0.219096i
$785$	−9.14128	+	0.590885i	−0.326266	+	0.0210896i
$786$	−2.41048	−	7.41868i	−0.0859788	−	0.264616i
$787$	6.73670	−	20.7334i	0.240137	−	0.739067i	−0.756261	−	0.654270i	$-0.772976\pi$
$787$	6.73670	−	20.7334i	0.240137	−	0.739067i	0.996398	−	0.0847967i	$-0.0270241\pi$
$788$	−2.80826	+	8.64292i	−0.100040	+	0.307891i
$789$	1.48919	+	4.58326i	0.0530166	+	0.163168i
$790$	−2.06018	−	1.30247i	−0.0732980	−	0.0463400i
$791$	4.66919	−	14.3703i	0.166017	−	0.510949i
$792$	3.50237	+	2.54462i	0.124451	+	0.0904191i
$793$	48.6216			1.72660
$794$	−2.50833	−	1.82240i	−0.0890171	−	0.0646747i
$795$	7.67499	−	30.1067i	0.272204	−	1.06777i
$796$	−2.90301	+	2.10916i	−0.102895	+	0.0747572i
$797$	−10.8378	+	7.87415i	−0.383896	+	0.278917i	−0.762950	−	0.646458i	$-0.776250\pi$
$797$	−10.8378	+	7.87415i	−0.383896	+	0.278917i	0.379054	+	0.925375i	$0.376250\pi$
$798$	0.299434	+	0.921562i	0.0105998	+	0.0326229i
$799$	1.56065			0.0552117
$800$	−4.95839	+	0.643702i	−0.175306	+	0.0227583i
$801$	8.95953			0.316569
$802$	−2.97372	−	9.15218i	−0.105006	−	0.323175i
$803$	8.16447	−	5.93184i	0.288118	−	0.209330i
$804$	−2.06146	+	1.49774i	−0.0727022	+	0.0528212i
$805$	1.26871	+	3.18838i	0.0447161	+	0.112376i
$806$	−15.5826	−	11.3214i	−0.548875	−	0.398781i
$807$	37.1768			1.30869
$808$	6.45065	+	4.68667i	0.226933	+	0.164876i
$809$	0.702110	−	2.16087i	0.0246849	−	0.0759722i	−0.937955	−	0.346757i	$-0.887283\pi$
$809$	0.702110	−	2.16087i	0.0246849	−	0.0759722i	0.962640	+	0.270784i	$0.0872830\pi$
$810$	−1.90955	+	7.49059i	−0.0670947	+	0.263192i
$811$	14.6120	+	44.9710i	0.513095	+	1.57915i	0.786721	+	0.617309i	$0.211777\pi$
$811$	14.6120	+	44.9710i	0.513095	+	1.57915i	−0.273625	+	0.961836i	$0.588223\pi$
$812$	1.30962	−	4.03059i	0.0459586	−	0.141446i
$813$	3.10748	−	9.56386i	0.108984	−	0.335419i
$814$	0.191763	+	0.590186i	0.00672129	+	0.0206860i
$815$	−3.97571	+	15.5955i	−0.139263	+	0.546288i
$816$	−0.0939161	+	0.289044i	−0.00328772	+	0.0101186i
$817$	−7.04438	−	5.11804i	−0.246451	−	0.179057i
$818$	−18.1477			−0.634521
$819$	3.33094	+	2.42007i	0.116392	+	0.0845641i
$820$	−0.153763	−	0.386422i	−0.00536965	−	0.0134944i
$821$	−21.3354	+	15.5011i	−0.744612	+	0.540992i	−0.894152	−	0.447763i	$-0.852221\pi$
$821$	−21.3354	+	15.5011i	−0.744612	+	0.540992i	0.149540	+	0.988756i	$0.452221\pi$
$822$	−1.11607	+	0.810875i	−0.0389275	+	0.0282825i
$823$	11.3959	+	35.0731i	0.397237	+	1.22257i	0.927205	+	0.374553i	$0.122204\pi$
$823$	11.3959	+	35.0731i	0.397237	+	1.22257i	−0.529968	+	0.848018i	$0.677796\pi$
$824$	9.26766			0.322854
$825$	19.2318	+	10.4869i	0.669564	+	0.365106i
$826$	3.82314			0.133024
$827$	−4.57355	−	14.0759i	−0.159038	−	0.489468i	0.839510	−	0.543345i	$-0.182842\pi$
$827$	−4.57355	−	14.0759i	−0.159038	−	0.489468i	−0.998548	+	0.0538763i	$0.982842\pi$
$828$	2.16303	−	1.57153i	0.0751706	−	0.0546146i
$829$	20.8482	−	15.1471i	0.724087	−	0.526080i	−0.163600	−	0.986527i	$-0.552311\pi$
$829$	20.8482	−	15.1471i	0.724087	−	0.526080i	0.887687	+	0.460446i	$0.152311\pi$
$830$	−1.71042	+	6.70948i	−0.0593697	+	0.232890i
$831$	−3.75733	−	2.72986i	−0.130340	−	0.0946979i
$832$	−4.29994			−0.149074
$833$	−1.21341	−	0.881591i	−0.0420420	−	0.0305453i
$834$	1.04275	−	3.20926i	0.0361075	−	0.111128i
$835$	24.9501	+	15.7737i	0.863432	+	0.545873i
$836$	−1.03577	−	3.18776i	−0.0358228	−	0.110251i
$837$	−7.76456	+	23.8969i	−0.268383	+	0.825997i
$838$	6.54634	−	20.1475i	0.226139	−	0.695986i
$839$	1.49761	+	4.60916i	0.0517031	+	0.159126i	0.973574	−	0.228371i	$-0.0733399\pi$
$839$	1.49761	+	4.60916i	0.0517031	+	0.159126i	−0.921871	+	0.387497i	$0.873340\pi$
$840$	−2.16221	+	0.139763i	−0.0746033	+	0.00482229i
$841$	1.13717	−	3.49985i	0.0392128	−	0.120685i
$842$	32.3441	+	23.4994i	1.11465	+	0.809842i
$843$	−33.7548			−1.16258
$844$	−8.88596	−	6.45603i	−0.305867	−	0.222226i
$845$	10.3753	+	6.55942i	0.356922	+	0.225651i
$846$	7.01335	−	5.09549i	0.241124	−	0.175187i
$847$	0.140737	−	0.102251i	0.00483577	−	0.00351339i
$848$	−3.28501	−	10.1102i	−0.112808	−	0.347186i
$849$	26.9629			0.925363
$850$	0.213926	−	1.14275i	0.00733760	−	0.0391961i
$851$	0.383251			0.0131377
$852$	−3.02609	−	9.31334i	−0.103672	−	0.319070i
$853$	2.49962	−	1.81608i	0.0855853	−	0.0621814i	−0.544170	−	0.838975i	$-0.683155\pi$
$853$	2.49962	−	1.81608i	0.0855853	−	0.0621814i	0.629755	+	0.776794i	$0.283155\pi$
$854$	6.78182	−	4.92728i	0.232069	−	0.168608i
$855$	−2.22214	+	1.84475i	−0.0759956	+	0.0630892i
$856$	4.33761	+	3.15146i	0.148257	+	0.107715i
$857$	26.2352			0.896177			0.448089	−	0.893989i	$-0.352105\pi$
$857$	26.2352			0.896177			0.448089	+	0.893989i	$0.352105\pi$
$858$	15.2404	+	11.0728i	0.520299	+	0.378019i
$859$	−7.89320	+	24.2928i	−0.269313	+	0.828859i	0.721356	+	0.692565i	$0.243519\pi$
$859$	−7.89320	+	24.2928i	−0.269313	+	0.828859i	−0.990668	+	0.136294i	$0.956481\pi$
$860$	14.9807	−	12.4365i	0.510837	−	0.424081i
$861$	−0.0556922	−	0.171403i	−0.00189798	−	0.00584140i
$862$	−11.1607	+	34.3491i	−0.380135	+	1.16993i
$863$	−4.14911	+	12.7696i	−0.141237	+	0.434684i	−0.996508	−	0.0834977i	$-0.973391\pi$
$863$	−4.14911	+	12.7696i	−0.141237	+	0.434684i	0.855271	+	0.518182i	$0.173391\pi$
$864$	1.73339	+	5.33483i	0.0589712	+	0.181495i
$865$	−4.34237	−	10.9128i	−0.147645	−	0.371045i
$866$	−3.61575	+	11.1281i	−0.122868	+	0.378149i
$867$	17.9192	+	13.0191i	0.608569	+	0.442151i
$868$	−3.32080			−0.112715
$869$	2.95580	+	2.14751i	0.100269	+	0.0728494i
$870$	−16.6731	+	1.07774i	−0.565271	+	0.0365387i
$871$	6.78176	−	4.92723i	0.229791	−	0.166953i
$872$	2.06801	−	1.50250i	0.0700316	−	0.0508809i
$873$	−4.95692	−	15.2558i	−0.167766	−	0.516331i
$874$	−2.07005			−0.0700205
$875$	8.13360	−	1.59504i	0.274966	−	0.0539223i
$876$	3.93538			0.132964
$877$	10.0489	+	30.9273i	0.339326	+	1.04434i	0.964551	+	0.263895i	$0.0850072\pi$
$877$	10.0489	+	30.9273i	0.339326	+	1.04434i	−0.625225	+	0.780444i	$0.714993\pi$
$878$	5.68387	−	4.12958i	0.191821	−	0.139366i
$879$	−26.8553	+	19.5115i	−0.905808	+	0.658108i
$880$	7.47927	−	0.483454i	0.252126	−	0.0162972i
$881$	5.27710	+	3.83404i	0.177790	+	0.129172i	0.673121	−	0.739532i	$-0.264953\pi$
$881$	5.27710	+	3.83404i	0.177790	+	0.129172i	−0.495331	+	0.868704i	$0.664953\pi$
$882$	−8.33127			−0.280529
$883$	9.09971	+	6.61133i	0.306230	+	0.222489i	0.730277	−	0.683151i	$-0.239391\pi$
$883$	9.09971	+	6.61133i	0.306230	+	0.222489i	−0.424047	+	0.905640i	$0.639391\pi$
$884$	0.308963	−	0.950890i	0.0103915	−	0.0319819i
$885$	−5.57254	−	14.0043i	−0.187319	−	0.470749i
$886$	−12.3117	−	37.8916i	−0.413620	−	1.27299i
$887$	−5.51160	+	16.9630i	−0.185061	+	0.569561i	−0.999949	−	0.0100579i	$-0.996798\pi$
$887$	−5.51160	+	16.9630i	−0.185061	+	0.569561i	0.814888	+	0.579619i	$0.196798\pi$
$888$	−0.0747793	+	0.230147i	−0.00250943	+	0.00772323i
$889$	−1.55435	−	4.78380i	−0.0521312	−	0.160443i
$890$	11.9346	−	9.90773i	0.400049	−	0.332108i
$891$	3.58068	−	11.0202i	0.119957	−	0.369190i
$892$	−7.18455	−	5.21988i	−0.240557	−	0.174775i
$893$	−6.71187			−0.224604
$894$	−12.2357	−	8.88977i	−0.409224	−	0.297318i
$895$	−30.8371	+	25.6000i	−1.03077	+	0.855715i
$896$	−0.599763	+	0.435753i	−0.0200367	+	0.0145575i
$897$	9.41233	−	6.83846i	0.314269	−	0.228330i
$898$	3.58408	+	11.0307i	0.119602	+	0.368098i
$899$	−25.6071			−0.854046
$900$	−2.76972	−	5.83384i	−0.0923238	−	0.194461i
$901$	2.47181			0.0823480
$902$	0.192644	+	0.592898i	0.00641435	+	0.0197413i
$903$	6.82591	−	4.95931i	0.227152	−	0.165036i
$904$	−16.4890	+	11.9800i	−0.548417	+	0.398448i
$905$	15.5179	+	9.81059i	0.515831	+	0.326115i
$906$	11.2678	+	8.18652i	0.374347	+	0.271979i
$907$	12.4400			0.413064			0.206532	−	0.978440i	$-0.433782\pi$
$907$	12.4400			0.413064			0.206532	+	0.978440i	$0.433782\pi$
$908$	−2.19023	−	1.59129i	−0.0726853	−	0.0528090i
$909$	−3.18238	+	9.79437i	−0.105553	+	0.324859i
$910$	7.11319	−	0.459790i	0.235800	−	0.0152419i
$911$	−9.06381	−	27.8955i	−0.300297	−	0.924221i	−0.981390	−	0.192023i	$-0.938495\pi$
$911$	−9.06381	−	27.8955i	−0.300297	−	0.924221i	0.681093	−	0.732197i	$-0.261505\pi$
$912$	0.403904	−	1.24309i	0.0133746	−	0.0411628i
$913$	3.20729	−	9.87103i	0.106146	−	0.326683i
$914$	1.62312	+	4.99544i	0.0536879	+	0.165234i
$915$	−27.9339	−	17.6602i	−0.923466	−	0.583827i
$916$	−3.23390	+	9.95292i	−0.106851	+	0.328854i
$917$	3.57935	+	2.60055i	0.118201	+	0.0858777i
$918$	−1.30429			−0.0430481
$919$	32.7177	+	23.7708i	1.07926	+	0.784126i	0.977553	−	0.210689i	$-0.0675706\pi$
$919$	32.7177	+	23.7708i	1.07926	+	0.784126i	0.101704	+	0.994815i	$0.467571\pi$
$920$	1.14343	−	4.48532i	0.0376977	−	0.147877i
$921$	23.6932	−	17.2141i	0.780717	−	0.567224i
$922$	−20.7224	+	15.0557i	−0.682454	+	0.495832i
$923$	9.95516	+	30.6388i	0.327678	+	1.00849i
$924$	3.24786			0.106847
$925$	0.170335	−	0.909899i	0.00560059	−	0.0299173i
$926$	−26.6176			−0.874710
$927$	3.69894	+	11.3842i	0.121489	+	0.373905i
$928$	−4.62486	+	3.36016i	−0.151818	+	0.110303i
$929$	−32.4220	+	23.5560i	−1.06373	+	0.772846i	−0.974775	−	0.223189i	$-0.928353\pi$
$929$	−32.4220	+	23.5560i	−1.06373	+	0.772846i	−0.0889567	+	0.996035i	$0.528353\pi$
$930$	4.84034	+	12.1642i	0.158721	+	0.398880i
$931$	5.21849	+	3.79145i	0.171029	+	0.124260i
$932$	−10.2500			−0.335750
$933$	15.6396	+	11.3628i	0.512018	+	0.372003i
$934$	−9.69896	+	29.8503i	−0.317360	+	0.976732i
$935$	−0.430496	+	1.68871i	−0.0140787	+	0.0552266i
$936$	−1.71621	−	5.28194i	−0.0560960	−	0.172646i
$937$	−10.4464	+	32.1506i	−0.341268	+	1.05031i	0.622284	+	0.782792i	$0.286205\pi$
$937$	−10.4464	+	32.1506i	−0.341268	+	1.05031i	−0.963552	+	0.267523i	$0.913795\pi$
$938$	0.446608	−	1.37452i	0.0145823	−	0.0448796i
$939$	12.7702	+	39.3027i	0.416741	+	1.28260i
$940$	3.70741	−	14.5431i	0.120922	−	0.474343i
$941$	−7.07245	+	21.7668i	−0.230555	+	0.709577i	0.767125	+	0.641498i	$0.221687\pi$
$941$	−7.07245	+	21.7668i	−0.230555	+	0.709577i	−0.997680	+	0.0680784i	$0.978313\pi$
$942$	4.33193	+	3.14733i	0.141142	+	0.102546i
$943$	0.385012			0.0125377
$944$	−4.17211	−	3.03121i	−0.135790	−	0.0986576i
$945$	−3.43792	−	8.63980i	−0.111835	−	0.281053i
$946$	−23.6114	+	17.1547i	−0.767674	+	0.557748i
$947$	2.50032	−	1.81659i	0.0812495	−	0.0590312i	−0.546419	−	0.837512i	$-0.684009\pi$
$947$	2.50032	−	1.81659i	0.0812495	−	0.0590312i	0.627668	+	0.778481i	$0.284009\pi$
$948$	0.440267	+	1.35500i	0.0142992	+	0.0440084i
$949$	−12.9465			−0.420262
$950$	−0.920030	+	4.91463i	−0.0298497	+	0.159452i
$951$	2.61001			0.0846353
$952$	−0.0532679	−	0.163942i	−0.00172642	−	0.00531338i
$953$	−37.9626	+	27.5815i	−1.22973	+	0.893451i	−0.996870	−	0.0790591i	$-0.974808\pi$
$953$	−37.9626	+	27.5815i	−1.22973	+	0.893451i	−0.232860	+	0.972510i	$0.574808\pi$
$954$	11.1080	−	8.07044i	0.359635	−	0.261290i
$955$	−0.716831	+	2.81192i	−0.0231961	+	0.0909914i
$956$	3.20957	+	2.33189i	0.103805	+	0.0754188i
$957$	25.0448			0.809582
$958$	−12.3910	−	9.00257i	−0.400334	−	0.290860i
$959$	0.241793	−	0.744162i	0.00780790	−	0.0240302i
$960$	2.47039	+	1.56181i	0.0797314	+	0.0504072i
$961$	−3.37908	−	10.3997i	−0.109003	−	0.335475i
$962$	0.246007	−	0.757132i	0.00793159	−	0.0244109i
$963$	−2.13993	+	6.58603i	−0.0689584	+	0.212232i
$964$	−2.25262	−	6.93285i	−0.0725520	−	0.223292i
$965$	60.0314	−	3.88038i	1.93248	−	0.124914i
$966$	0.619842	−	1.90768i	0.0199431	−	0.0613786i
$967$	−36.3747	−	26.4278i	−1.16973	−	0.849860i	−0.178756	−	0.983894i	$-0.557207\pi$
$967$	−36.3747	−	26.4278i	−1.16973	−	0.849860i	−0.990977	+	0.134033i	$0.957207\pi$
$968$	−0.234654			−0.00754206
$969$	0.245875	+	0.178639i	0.00789866	+	0.00573871i
$970$	−23.4733	−	14.8401i	−0.753681	−	0.476487i
$971$	−16.8994	+	12.2782i	−0.542328	+	0.394025i	−0.824949	−	0.565207i	$-0.808796\pi$
$971$	−16.8994	+	12.2782i	−0.542328	+	0.394025i	0.282621	+	0.959232i	$0.408796\pi$
$972$	−9.95865	+	7.23538i	−0.319424	+	0.232075i
$973$	0.591434	+	1.82025i	0.0189605	+	0.0583545i
$974$	−15.7140			−0.503511
$975$	−12.0523	−	25.3857i	−0.385982	−	0.812993i
$976$	−11.3075			−0.361944
$977$	−4.53856	−	13.9683i	−0.145202	−	0.446884i	0.851835	−	0.523810i	$-0.175490\pi$
$977$	−4.53856	−	13.9683i	−0.145202	−	0.446884i	−0.997037	+	0.0769253i	$0.975490\pi$
$978$	7.61099	−	5.52971i	0.243373	−	0.176821i
$979$	−18.8104	+	13.6666i	−0.601183	+	0.436785i
$980$	−11.0977	+	9.21298i	−0.354504	+	0.294298i
$981$	2.67102	+	1.94061i	0.0852790	+	0.0619589i
$982$	0.765056			0.0244139
$983$	7.95503	+	5.77967i	0.253726	+	0.184343i	0.707377	−	0.706837i	$-0.249879\pi$
$983$	7.95503	+	5.77967i	0.253726	+	0.184343i	−0.453650	+	0.891180i	$0.649879\pi$
$984$	−0.0751229	+	0.231205i	−0.00239483	+	0.00737053i
$985$	−15.6351	+	12.9798i	−0.498176	+	0.413571i
$986$	−0.410757	−	1.26418i	−0.0130812	−	0.0402597i
$987$	2.00976	−	6.18540i	0.0639713	−	0.196883i
$988$	−1.32876	+	4.08949i	−0.0422733	+	0.130104i
$989$	5.56991	+	17.1424i	0.177113	+	0.545097i
$990$	3.57901	+	8.99439i	0.113749	+	0.285861i
$991$	−7.17968	+	22.0968i	−0.228070	+	0.701927i	0.769895	+	0.638170i	$0.220308\pi$
$991$	−7.17968	+	22.0968i	−0.228070	+	0.701927i	−0.997965	+	0.0637571i	$0.979692\pi$
$992$	3.62391	+	2.63293i	0.115059	+	0.0835956i
$993$	−27.8360			−0.883348
$994$	4.49348	+	3.26470i	0.142524	+	0.103550i
$995$	−8.00702	+	0.517567i	−0.253839	+	0.0164080i
$996$	3.27439	−	2.37898i	0.103753	−	0.0753809i
$997$	−3.04740	+	2.21406i	−0.0965120	+	0.0701201i	−0.634995	−	0.772516i	$-0.718998\pi$
$997$	−3.04740	+	2.21406i	−0.0965120	+	0.0701201i	0.538483	+	0.842637i	$0.318998\pi$
$998$	11.7446	+	36.1463i	0.371770	+	1.14419i
$999$	−1.03853			−0.0328575

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.e.381.4	✓	44
25.21	even	5	inner	950.2.h.e.571.4	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.e.381.4	✓	44	1.1	even	1	trivial
950.2.h.e.571.4	yes	44	25.21	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.05744 + 0.768272i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23141 + 0.144237i) q^{5} +(1.05744 + 0.768272i) q^{6} -0.741348 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.399123 + 1.22837i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.05744 + 0.768272i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23141 + 0.144237i) q^{5} +(1.05744 + 0.768272i) q^{6} -0.741348 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.399123 + 1.22837i) q^{9} +(0.826721 + 2.07763i) q^{10} +(-1.03577 - 3.18776i) q^{11} +(0.403904 - 1.24309i) q^{12} +(-1.32876 + 4.08949i) q^{13} +(0.229089 + 0.705064i) q^{14} +(2.24876 - 1.86685i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.188113 + 0.136672i) q^{17} +1.29159 q^{18} +(-0.809017 - 0.587785i) q^{19} +(1.72047 - 1.42828i) q^{20} +(0.783927 - 0.569556i) q^{21} +(-2.71167 + 1.97015i) q^{22} +(0.639681 + 1.96873i) q^{23} -1.30706 q^{24} +(4.95839 - 0.643702i) q^{25} +4.29994 q^{26} +(-1.73339 - 5.33483i) q^{27} +(0.599763 - 0.435753i) q^{28} +(4.62486 - 3.36016i) q^{29} +(-2.47039 - 1.56181i) q^{30} +(-3.62391 - 2.63293i) q^{31} -1.00000 q^{32} +(3.54433 + 2.57510i) q^{33} +(0.0718528 - 0.221140i) q^{34} +(1.65425 - 0.106929i) q^{35} +(-0.399123 - 1.22837i) q^{36} +(0.0572117 - 0.176080i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-1.73677 - 5.34521i) q^{39} +(-1.89003 - 1.19490i) q^{40} +(0.0574746 - 0.176889i) q^{41} +(-0.783927 - 0.569556i) q^{42} +8.70733 q^{43} +(2.71167 + 1.97015i) q^{44} +(0.713431 - 2.79858i) q^{45} +(1.67471 - 1.21674i) q^{46} +(5.43001 - 3.94514i) q^{47} +(0.403904 + 1.24309i) q^{48} -6.45040 q^{49} +(-2.14442 - 4.51680i) q^{50} -0.303919 q^{51} +(-1.32876 - 4.08949i) q^{52} +(8.60026 - 6.24846i) q^{53} +(-4.53808 + 3.29711i) q^{54} +(2.77101 + 6.96382i) q^{55} +(-0.599763 - 0.435753i) q^{56} +1.30706 q^{57} +(-4.62486 - 3.36016i) q^{58} +(1.59360 - 4.90461i) q^{59} +(-0.721978 + 2.83210i) q^{60} +(-3.49421 - 10.7541i) q^{61} +(-1.38421 + 4.26017i) q^{62} +(0.295889 - 0.910653i) q^{63} +(0.309017 + 0.951057i) q^{64} +(2.37515 - 9.31699i) q^{65} +(1.35381 - 4.16660i) q^{66} +(-1.57717 - 1.14588i) q^{67} -0.232521 q^{68} +(-2.18894 - 1.59036i) q^{69} +(-0.612888 - 1.54024i) q^{70} +(6.06123 - 4.40374i) q^{71} +(-1.04492 + 0.759177i) q^{72} +(0.930407 + 2.86350i) q^{73} -0.185141 q^{74} +(-4.74864 + 4.49007i) q^{75} +1.00000 q^{76} +(0.767864 + 2.36324i) q^{77} +(-4.54691 + 3.30352i) q^{78} +(-0.881851 + 0.640702i) q^{79} +(-0.552367 + 2.16677i) q^{80} +(2.79680 + 2.03199i) q^{81} -0.185992 q^{82} +(2.50515 + 1.82010i) q^{83} +(-0.299434 + 0.921562i) q^{84} +(-0.439471 - 0.277839i) q^{85} +(-2.69071 - 8.28116i) q^{86} +(-2.30898 + 7.10630i) q^{87} +(1.03577 - 3.18776i) q^{88} +(-2.14360 - 6.59731i) q^{89} +(-2.88207 + 0.186294i) q^{90} +(0.985070 - 3.03173i) q^{91} +(-1.67471 - 1.21674i) q^{92} +5.85486 q^{93} +(-5.43001 - 3.94514i) q^{94} +(1.89003 + 1.19490i) q^{95} +(1.05744 - 0.768272i) q^{96} +(-10.0476 + 7.30001i) q^{97} +(1.99328 + 6.13470i) q^{98} +4.32917 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9}+O(q^{10}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9} + 5 q^{10} - 6 q^{12} - 10 q^{13} + 12 q^{14} - 11 q^{16} - 20 q^{17} - 42 q^{18} - 11 q^{19} + 5 q^{20} - 3 q^{21} - 10 q^{22} - 6 q^{23} - 14 q^{24} - 15 q^{25} - 40 q^{26} + 5 q^{27} - 2 q^{28} + 6 q^{29} - 5 q^{31} - 44 q^{32} - 36 q^{33} - 10 q^{34} - 8 q^{36} - 10 q^{37} + 11 q^{38} + 39 q^{39} - 22 q^{41} + 3 q^{42} + 68 q^{43} + 10 q^{44} + 20 q^{45} + 6 q^{46} + 19 q^{47} - 6 q^{48} + 40 q^{49} - 30 q^{50} + 86 q^{51} - 10 q^{52} + 30 q^{54} + 2 q^{56} + 14 q^{57} - 6 q^{58} - 4 q^{59} + 15 q^{60} + 26 q^{61} - 15 q^{62} - 41 q^{63} - 11 q^{64} + 30 q^{65} - 4 q^{66} - 59 q^{67} + 20 q^{68} - 59 q^{69} - 25 q^{70} + 30 q^{71} + 13 q^{72} - 38 q^{73} - 50 q^{74} - 15 q^{75} + 44 q^{76} + 29 q^{77} + 16 q^{78} + 3 q^{79} + 5 q^{80} - 54 q^{81} - 8 q^{82} + 9 q^{83} + 7 q^{84} + 12 q^{86} - 43 q^{87} + 33 q^{89} - 6 q^{91} - 6 q^{92} + 84 q^{93} - 19 q^{94} + q^{96} + 30 q^{97} - 15 q^{98} - 54 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9 + 5 * q^10 - 6 * q^12 - 10 * q^13 + 12 * q^14 - 11 * q^16 - 20 * q^17 - 42 * q^18 - 11 * q^19 + 5 * q^20 - 3 * q^21 - 10 * q^22 - 6 * q^23 - 14 * q^24 - 15 * q^25 - 40 * q^26 + 5 * q^27 - 2 * q^28 + 6 * q^29 - 5 * q^31 - 44 * q^32 - 36 * q^33 - 10 * q^34 - 8 * q^36 - 10 * q^37 + 11 * q^38 + 39 * q^39 - 22 * q^41 + 3 * q^42 + 68 * q^43 + 10 * q^44 + 20 * q^45 + 6 * q^46 + 19 * q^47 - 6 * q^48 + 40 * q^49 - 30 * q^50 + 86 * q^51 - 10 * q^52 + 30 * q^54 + 2 * q^56 + 14 * q^57 - 6 * q^58 - 4 * q^59 + 15 * q^60 + 26 * q^61 - 15 * q^62 - 41 * q^63 - 11 * q^64 + 30 * q^65 - 4 * q^66 - 59 * q^67 + 20 * q^68 - 59 * q^69 - 25 * q^70 + 30 * q^71 + 13 * q^72 - 38 * q^73 - 50 * q^74 - 15 * q^75 + 44 * q^76 + 29 * q^77 + 16 * q^78 + 3 * q^79 + 5 * q^80 - 54 * q^81 - 8 * q^82 + 9 * q^83 + 7 * q^84 + 12 * q^86 - 43 * q^87 + 33 * q^89 - 6 * q^91 - 6 * q^92 + 84 * q^93 - 19 * q^94 + q^96 + 30 * q^97 - 15 * q^98 - 54 * q^99

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