LMFDB - Embedded newform 294.2.p.a.101.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [294,2,Mod(5,294)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(294, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 29])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("294.5"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$294 = 2 \cdot 3 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	294.p (of order $42$ , degree $12$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.5
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.5

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.930874 - 0.365341i) q^{2} +(-0.0758988 - 1.73039i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-2.77284 - 1.89049i) q^{5} +(-0.561529 + 1.63850i) q^{6} +(-2.14704 + 1.54603i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(-2.98848 + 0.262669i) q^{9} +(1.89049 + 2.77284i) q^{10} +(0.905407 + 6.00699i) q^{11} +(1.12132 - 1.32009i) q^{12} +(1.32858 - 1.05951i) q^{13} +(2.56345 - 0.654760i) q^{14} +(-3.06082 + 4.94157i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(-0.409716 - 0.126381i) q^{17} +(2.87786 + 0.847302i) q^{18} +(0.985050 - 0.568719i) q^{19} +(-0.746775 - 3.27183i) q^{20} +(2.83819 + 3.59787i) q^{21} +(1.35178 - 5.92253i) q^{22} +(-1.51752 - 4.91968i) q^{23} +(-1.52609 + 0.819169i) q^{24} +(2.28797 + 5.82966i) q^{25} +(-1.62382 + 0.500883i) q^{26} +(0.681341 + 5.15129i) q^{27} +(-2.62546 - 0.327036i) q^{28} +(-7.31668 + 1.66998i) q^{29} +(4.65460 - 3.48173i) q^{30} +(-1.31117 - 0.757007i) q^{31} +(0.294755 - 0.955573i) q^{32} +(10.3257 - 2.02263i) q^{33} +(0.335222 + 0.267330i) q^{34} +(8.87615 - 0.227944i) q^{35} +(-2.36937 - 1.84013i) q^{36} +(-7.65042 + 7.09855i) q^{37} +(-1.12473 + 0.169526i) q^{38} +(-1.93420 - 2.21854i) q^{39} +(-0.500182 + 3.31849i) q^{40} +(-9.57633 + 4.61172i) q^{41} +(-1.32755 - 4.38607i) q^{42} +(-6.51574 - 3.13782i) q^{43} +(-3.42208 + 5.01927i) q^{44} +(8.78314 + 4.92135i) q^{45} +(-0.384741 + 5.13401i) q^{46} +(1.97268 - 5.02631i) q^{47} +(1.71988 - 0.204999i) q^{48} +(2.21956 - 6.63879i) q^{49} -6.26257i q^{50} +(-0.187590 + 0.718559i) q^{51} +(1.69457 + 0.126990i) q^{52} +(-0.516727 + 0.556899i) q^{53} +(1.24773 - 5.04412i) q^{54} +(8.84559 - 18.3681i) q^{55} +(2.32449 + 1.26362i) q^{56} +(-1.05887 - 1.66135i) q^{57} +(7.42102 + 1.11854i) q^{58} +(-7.56778 + 5.15962i) q^{59} +(-5.60486 + 1.54054i) q^{60} +(-3.47318 - 3.74320i) q^{61} +(0.943972 + 1.18370i) q^{62} +(6.01029 - 5.18425i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-5.68693 + 0.426176i) q^{65} +(-10.3509 - 1.88959i) q^{66} +(3.86723 - 6.69825i) q^{67} +(-0.214382 - 0.371321i) q^{68} +(-8.39777 + 2.99930i) q^{69} +(-8.34585 - 3.03063i) q^{70} +(13.2764 + 3.03025i) q^{71} +(1.53331 + 2.57856i) q^{72} +(-1.42554 + 0.559484i) q^{73} +(9.71497 - 3.81284i) q^{74} +(9.91392 - 4.40154i) q^{75} +(1.10892 + 0.253104i) q^{76} +(-11.2309 - 11.4974i) q^{77} +(0.989968 + 2.77183i) q^{78} +(-2.37931 - 4.12109i) q^{79} +(1.67799 - 2.90636i) q^{80} +(8.86201 - 1.56996i) q^{81} +(10.5992 - 0.794300i) q^{82} +(2.83069 - 3.54958i) q^{83} +(-0.366629 + 4.56789i) q^{84} +(0.897154 + 1.12500i) q^{85} +(4.91896 + 5.30138i) q^{86} +(3.44505 + 12.5339i) q^{87} +(5.01927 - 3.42208i) q^{88} +(3.81113 + 0.574436i) q^{89} +(-6.37802 - 7.78999i) q^{90} +(-1.21448 + 4.32884i) q^{91} +(2.23381 - 4.63856i) q^{92} +(-1.21040 + 2.32630i) q^{93} +(-3.67264 + 3.95816i) q^{94} +(-3.80654 - 0.285261i) q^{95} +(-1.67588 - 0.437514i) q^{96} -4.18668i q^{97} +(-4.49155 + 5.36898i) q^{98} +(-4.28364 - 17.7139i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100})$ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$ .

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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

)

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

$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$3$	−0.0758988	−	1.73039i	−0.0438202	−	0.999039i
$3$	−0.0758988	−	1.73039i	−0.0438202	−	0.999039i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	−2.77284	−	1.89049i	−1.24005	−	0.845452i	−0.247692	−	0.968839i	$-0.579672\pi$
$5$	−2.77284	−	1.89049i	−1.24005	−	0.845452i	−0.992359	+	0.123387i	$0.960624\pi$
$6$	−0.561529	+	1.63850i	−0.229243	+	0.668915i
$7$	−2.14704	+	1.54603i	−0.811505	+	0.584346i
$7$	−2.14704	+	1.54603i	−0.811505	+	0.584346i
$8$	−0.433884	−	0.900969i	−0.153401	−	0.318541i
$9$	−2.98848	+	0.262669i	−0.996160	+	0.0875562i
$10$	1.89049	+	2.77284i	0.597825	+	0.876848i
$11$	0.905407	+	6.00699i	0.272991	+	1.81117i	0.533608	+	0.845732i	$0.320836\pi$
$11$	0.905407	+	6.00699i	0.272991	+	1.81117i	−0.260617	+	0.965442i	$0.583926\pi$
$12$	1.12132	−	1.32009i	0.323698	−	0.381077i
$13$	1.32858	−	1.05951i	0.368482	−	0.293855i	−0.421690	−	0.906740i	$-0.638563\pi$
$13$	1.32858	−	1.05951i	0.368482	−	0.293855i	0.790172	+	0.612886i	$0.209991\pi$
$14$	2.56345	−	0.654760i	0.685112	−	0.174992i
$15$	−3.06082	+	4.94157i	−0.790301	+	1.27591i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	−0.409716	−	0.126381i	−0.0993707	−	0.0306518i	0.244671	−	0.969606i	$-0.421320\pi$
$17$	−0.409716	−	0.126381i	−0.0993707	−	0.0306518i	−0.344042	+	0.938954i	$0.611796\pi$
$18$	2.87786	+	0.847302i	0.678318	+	0.199711i
$19$	0.985050	−	0.568719i	0.225986	−	0.130473i	−0.382733	−	0.923859i	$-0.625017\pi$
$19$	0.985050	−	0.568719i	0.225986	−	0.130473i	0.608719	+	0.793386i	$0.291684\pi$
$20$	−0.746775	−	3.27183i	−0.166984	−	0.731604i
$21$	2.83819	+	3.59787i	0.619345	+	0.785119i
$22$	1.35178	−	5.92253i	0.288200	−	1.26269i
$23$	−1.51752	−	4.91968i	−0.316425	−	1.02582i	−0.964463	−	0.264217i	$-0.914887\pi$
$23$	−1.51752	−	4.91968i	−0.316425	−	1.02582i	0.648038	−	0.761608i	$-0.275590\pi$
$24$	−1.52609	+	0.819169i	−0.311513	+	0.167212i
$25$	2.28797	+	5.82966i	0.457595	+	1.16593i
$26$	−1.62382	+	0.500883i	−0.318458	+	0.0982313i
$27$	0.681341	+	5.15129i	0.131124	+	0.991366i
$28$	−2.62546	−	0.327036i	−0.496166	−	0.0618039i
$29$	−7.31668	+	1.66998i	−1.35867	+	0.310108i	−0.838942	−	0.544221i	$-0.816825\pi$
$29$	−7.31668	+	1.66998i	−1.35867	+	0.310108i	−0.519732	+	0.854330i	$0.673968\pi$
$30$	4.65460	−	3.48173i	0.849809	−	0.635674i
$31$	−1.31117	−	0.757007i	−0.235494	−	0.135962i	0.377610	−	0.925965i	$-0.376746\pi$
$31$	−1.31117	−	0.757007i	−0.235494	−	0.135962i	−0.613104	+	0.790002i	$0.710079\pi$
$32$	0.294755	−	0.955573i	0.0521058	−	0.168923i
$33$	10.3257	−	2.02263i	1.79747	−	0.352094i
$34$	0.335222	+	0.267330i	0.0574901	+	0.0458468i
$35$	8.87615	−	0.227944i	1.50034	−	0.0385296i
$36$	−2.36937	−	1.84013i	−0.394895	−	0.306689i
$37$	−7.65042	+	7.09855i	−1.25772	+	1.16699i	−0.279338	+	0.960193i	$0.590115\pi$
$37$	−7.65042	+	7.09855i	−1.25772	+	1.16699i	−0.978383	+	0.206802i	$0.933694\pi$
$38$	−1.12473	+	0.169526i	−0.182456	+	0.0275008i
$39$	−1.93420	−	2.21854i	−0.309719	−	0.355251i
$40$	−0.500182	+	3.31849i	−0.0790857	+	0.524700i
$41$	−9.57633	+	4.61172i	−1.49557	+	0.720229i	−0.989803	−	0.142441i	$-0.954505\pi$
$41$	−9.57633	+	4.61172i	−1.49557	+	0.720229i	−0.505768	+	0.862670i	$0.668791\pi$
$42$	−1.32755	−	4.38607i	−0.204846	−	0.676785i
$43$	−6.51574	−	3.13782i	−0.993642	−	0.478513i	−0.134866	−	0.990864i	$-0.543060\pi$
$43$	−6.51574	−	3.13782i	−0.993642	−	0.478513i	−0.858776	+	0.512351i	$0.828775\pi$
$44$	−3.42208	+	5.01927i	−0.515898	+	0.756683i
$45$	8.78314	+	4.92135i	1.30931	+	0.733631i
$46$	−0.384741	+	5.13401i	−0.0567270	+	0.756969i
$47$	1.97268	−	5.02631i	0.287745	−	0.733163i	−0.711781	−	0.702401i	$-0.752111\pi$
$47$	1.97268	−	5.02631i	0.287745	−	0.733163i	0.999527	−	0.0307620i	$-0.00979339\pi$
$48$	1.71988	−	0.204999i	0.248243	−	0.0295890i
$49$	2.21956	−	6.63879i	0.317080	−	0.948399i
$50$		−	6.26257i		−	0.885661i
$51$	−0.187590	+	0.718559i	−0.0262679	+	0.100618i
$52$	1.69457	+	0.126990i	0.234994	+	0.0176104i
$53$	−0.516727	+	0.556899i	−0.0709779	+	0.0764960i	−0.767542	−	0.640998i	$-0.778521\pi$
$53$	−0.516727	+	0.556899i	−0.0709779	+	0.0764960i	0.696564	+	0.717494i	$0.254711\pi$
$54$	1.24773	−	5.04412i	0.169795	−	0.686418i
$55$	8.84559	−	18.3681i	1.19274	−	2.47675i
$56$	2.32449	+	1.26362i	0.310624	+	0.168858i
$57$	−1.05887	−	1.66135i	−0.140251	−	0.220052i
$58$	7.42102	+	1.11854i	0.974427	+	0.146871i
$59$	−7.56778	+	5.15962i	−0.985240	+	0.671726i	−0.944865	−	0.327459i	$-0.893808\pi$
$59$	−7.56778	+	5.15962i	−0.985240	+	0.671726i	−0.0403751	+	0.999185i	$0.512855\pi$
$60$	−5.60486	+	1.54054i	−0.723584	+	0.198883i
$61$	−3.47318	−	3.74320i	−0.444695	−	0.479267i	0.470430	−	0.882437i	$-0.344099\pi$
$61$	−3.47318	−	3.74320i	−0.444695	−	0.479267i	−0.915125	+	0.403170i	$0.867908\pi$
$62$	0.943972	+	1.18370i	0.119885	+	0.150331i
$63$	6.01029	−	5.18425i	0.757225	−	0.653154i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−5.68693	+	0.426176i	−0.705376	+	0.0528607i
$66$	−10.3509	−	1.88959i	−1.27410	−	0.232592i
$67$	3.86723	−	6.69825i	0.472458	−	0.818321i	−0.527045	−	0.849837i	$-0.676700\pi$
$67$	3.86723	−	6.69825i	0.472458	−	0.818321i	0.999503	+	0.0315162i	$0.0100336\pi$
$68$	−0.214382	−	0.371321i	−0.0259977	−	0.0450293i
$69$	−8.39777	+	2.99930i	−1.01097	+	0.361073i
$70$	−8.34585	−	3.03063i	−0.997520	−	0.362230i
$71$	13.2764	+	3.03025i	1.57562	+	0.359625i	0.918894	−	0.394505i	$-0.129084\pi$
$71$	13.2764	+	3.03025i	1.57562	+	0.359625i	0.656726	+	0.754130i	$0.271941\pi$
$72$	1.53331	+	2.57856i	0.180702	+	0.303886i
$73$	−1.42554	+	0.559484i	−0.166847	+	0.0654826i	−0.447294	−	0.894387i	$-0.647612\pi$
$73$	−1.42554	+	0.559484i	−0.166847	+	0.0654826i	0.280447	+	0.959869i	$0.409517\pi$
$74$	9.71497	−	3.81284i	1.12934	−	0.443234i
$75$	9.91392	−	4.40154i	1.14476	−	0.508247i
$76$	1.10892	+	0.253104i	0.127202	+	0.0290330i
$77$	−11.2309	−	11.4974i	−1.27989	−	1.31026i
$78$	0.989968	+	2.77183i	0.112092	+	0.313848i
$79$	−2.37931	−	4.12109i	−0.267694	−	0.463659i	0.700572	−	0.713581i	$-0.252928\pi$
$79$	−2.37931	−	4.12109i	−0.267694	−	0.463659i	−0.968266	+	0.249923i	$0.919595\pi$
$80$	1.67799	−	2.90636i	0.187605	−	0.324941i
$81$	8.86201	−	1.56996i	0.984668	−	0.174440i
$82$	10.5992	−	0.794300i	1.17049	−	0.0877158i
$83$	2.83069	−	3.54958i	0.310709	−	0.389617i	−0.601818	−	0.798633i	$-0.705557\pi$
$83$	2.83069	−	3.54958i	0.310709	−	0.389617i	0.912527	+	0.409016i	$0.134128\pi$
$84$	−0.366629	+	4.56789i	−0.0400025	+	0.498397i
$85$	0.897154	+	1.12500i	0.0973100	+	0.122023i
$86$	4.91896	+	5.30138i	0.530425	+	0.571663i
$87$	3.44505	+	12.5339i	0.369348	+	1.34378i
$88$	5.01927	−	3.42208i	0.535056	−	0.364795i
$89$	3.81113	+	0.574436i	0.403979	+	0.0608901i	0.347889	−	0.937536i	$-0.386899\pi$
$89$	3.81113	+	0.574436i	0.403979	+	0.0608901i	0.0560900	+	0.998426i	$0.482137\pi$
$90$	−6.37802	−	7.78999i	−0.672302	−	0.821137i
$91$	−1.21448	+	4.32884i	−0.127312	+	0.453785i
$92$	2.23381	−	4.63856i	0.232891	−	0.483603i
$93$	−1.21040	+	2.32630i	−0.125512	+	0.241226i
$94$	−3.67264	+	3.95816i	−0.378803	+	0.408253i
$95$	−3.80654	−	0.285261i	−0.390543	−	0.0292671i
$96$	−1.67588	−	0.437514i	−0.171044	−	0.0446536i
$97$		−	4.18668i		−	0.425093i	−0.977151	−	0.212546i	$-0.931824\pi$
$97$		−	4.18668i		−	0.425093i	0.977151	−	0.212546i	$-0.0681757\pi$
$98$	−4.49155	+	5.36898i	−0.453716	+	0.542349i
$99$	−4.28364	−	17.7139i	−0.430522	−	1.78032i
$100$	−2.28797	+	5.82966i	−0.228797	+	0.582966i
$101$	1.00776	−	13.4477i	0.100276	−	1.33809i	−0.689315	−	0.724462i	$-0.742088\pi$
$101$	1.00776	−	13.4477i	0.100276	−	1.33809i	0.789592	−	0.613633i	$-0.210292\pi$
$102$	0.437142	−	0.600353i	0.0432835	−	0.0594438i
$103$	−3.36645	+	4.93767i	−0.331706	+	0.486523i	−0.955469	−	0.295090i	$-0.904650\pi$
$103$	−3.36645	+	4.93767i	−0.331706	+	0.486523i	0.623764	+	0.781613i	$0.285603\pi$
$104$	−1.53103	−	0.737307i	−0.150130	−	0.0722989i
$105$	−1.06812	−	15.3419i	−0.104238	−	1.49721i
$106$	0.684466	−	0.329621i	0.0664812	−	0.0320157i
$107$	0.230772	−	1.53107i	0.0223096	−	0.148015i	−0.974903	−	0.222632i	$-0.928535\pi$
$107$	0.230772	−	1.53107i	0.0223096	−	0.148015i	0.997212	+	0.0746170i	$0.0237734\pi$
$108$	−3.00431	+	4.23959i	−0.289090	+	0.407955i
$109$	0.867689	−	0.130783i	0.0831096	−	0.0125268i	−0.107356	−	0.994221i	$-0.534238\pi$
$109$	0.867689	−	0.130783i	0.0831096	−	0.0125268i	0.190465	+	0.981694i	$0.439000\pi$
$110$	−14.9447	+	13.8667i	−1.42492	+	1.32214i
$111$	12.8639	+	12.6994i	1.22099	+	1.20538i
$112$	−1.70216	−	2.02550i	−0.160839	−	0.191392i
$113$	11.6053	+	9.25491i	1.09173	+	0.870629i	0.992231	−	0.124409i	$-0.0397033\pi$
$113$	11.6053	+	9.25491i	1.09173	+	0.870629i	0.0995028	+	0.995037i	$0.468275\pi$
$114$	0.378712	+	1.93336i	0.0354696	+	0.181076i
$115$	−5.09276	+	16.5103i	−0.474902	+	1.53960i
$116$	−6.49938	−	3.75242i	−0.603453	−	0.348404i
$117$	−3.69214	+	3.51529i	−0.341338	+	0.324989i
$118$	8.92966	−	2.03814i	0.822042	−	0.187626i
$119$	1.07507	−	0.362090i	0.0985511	−	0.0331928i
$120$	5.78024	+	0.613639i	0.527661	+	0.0560173i
$121$	−24.7528	+	7.63523i	−2.25026	+	0.694112i
$122$	1.86555	+	4.75334i	0.168899	+	0.430347i
$123$	8.70689	+	16.2207i	0.785073	+	1.46257i
$124$	−0.446264	−	1.44675i	−0.0400756	−	0.129922i
$125$	0.942855	−	4.13092i	0.0843315	−	0.369481i
$126$	−7.48884	+	2.63008i	−0.667159	+	0.234306i
$127$	−1.72652	−	7.56437i	−0.153204	−	0.671230i	−0.991942	−	0.126694i	$-0.959563\pi$
$127$	−1.72652	−	7.56437i	−0.153204	−	0.671230i	0.838738	−	0.544535i	$-0.183294\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−4.93510	+	11.5129i	−0.434511	+	1.01366i
$130$	5.44951	+	1.68095i	0.477954	+	0.147429i
$131$	0.486322	+	6.48952i	0.0424902	+	0.566992i	0.977302	+	0.211849i	$0.0679487\pi$
$131$	0.486322	+	6.48952i	0.0424902	+	0.566992i	−0.934812	+	0.355143i	$0.884432\pi$
$132$	8.94500	+	5.54056i	0.778563	+	0.482244i
$133$	−1.23568	+	2.74398i	−0.107147	+	0.237934i
$134$	−6.04705	+	4.82236i	−0.522386	+	0.416589i
$135$	7.84920	−	15.5717i	0.675552	−	1.34020i
$136$	0.0639041	+	0.423976i	0.00547973	+	0.0363556i
$137$	2.73960	+	4.01825i	0.234060	+	0.343303i	0.925242	−	0.379378i	$-0.123862\pi$
$137$	2.73960	+	4.01825i	0.234060	+	0.343303i	−0.691182	+	0.722681i	$0.742910\pi$
$138$	8.91303	+	0.276085i	0.758728	+	0.0235020i
$139$	4.59251	+	9.53644i	0.389531	+	0.808870i	0.999860	+	0.0167219i	$0.00532298\pi$
$139$	4.59251	+	9.53644i	0.389531	+	0.808870i	−0.610329	+	0.792148i	$0.708963\pi$
$140$	6.66172	+	5.87022i	0.563018	+	0.496124i
$141$	−8.84719	−	3.03201i	−0.745068	−	0.255341i
$142$	−11.2516	−	7.67120i	−0.944212	−	0.643753i
$143$	7.56736	+	7.02148i	0.632814	+	0.587166i
$144$	−0.485264	−	2.96049i	−0.0404386	−	0.246708i
$145$	23.4450	+	9.20150i	1.94700	+	0.764143i
$146$	1.53140			0.126740
$147$	−11.6561	−	3.33683i	−0.961382	−	0.275217i
$148$	−10.4364			−0.857866
$149$	−10.4921	−	4.11783i	−0.859544	−	0.337346i	−0.105699	−	0.994398i	$-0.533708\pi$
$149$	−10.4921	−	4.11783i	−0.859544	−	0.337346i	−0.753845	+	0.657052i	$0.771803\pi$
$150$	−10.8367	+	0.475322i	−0.884810	+	0.0388099i
$151$	1.88885	+	1.75259i	0.153712	+	0.142624i	0.753280	−	0.657700i	$-0.228470\pi$
$151$	1.88885	+	1.75259i	0.153712	+	0.142624i	−0.599568	+	0.800324i	$0.704661\pi$
$152$	−0.939796	−	0.640742i	−0.0762275	−	0.0519710i
$153$	1.25762	+	0.270066i	0.101673	+	0.0218336i
$154$	6.25410	+	14.8058i	0.503970	+	1.19309i
$155$	2.20456	+	4.57782i	0.177075	+	0.367699i
$156$	0.0911266	−	2.94190i	0.00729597	−	0.235540i
$157$	−0.209978	−	0.307981i	−0.0167580	−	0.0245795i	0.817768	−	0.575548i	$-0.195211\pi$
$157$	−0.209978	−	0.307981i	−0.0167580	−	0.0245795i	−0.834526	+	0.550968i	$0.814259\pi$
$158$	0.709236	+	4.70547i	0.0564238	+	0.374347i
$159$	1.00287	+	0.851870i	0.0795328	+	0.0675577i
$160$	−2.62381	+	2.09242i	−0.207430	+	0.165420i
$161$	10.8642	+	8.21661i	0.856216	+	0.647560i
$162$	−8.82298	−	1.77622i	−0.693199	−	0.139553i
$163$	−0.372240	−	4.96719i	−0.0291561	−	0.389060i	−0.992624	−	0.121236i	$-0.961314\pi$
$163$	−0.372240	−	4.96719i	−0.0291561	−	0.389060i	0.963468	−	0.267825i	$-0.0863048\pi$
$164$	−10.1567	−	3.13293i	−0.793106	−	0.244641i
$165$	−32.4552	−	13.9122i	−2.52663	−	1.08306i
$166$	−3.93183	+	2.27004i	−0.305169	+	0.176189i
$167$	−5.04980	−	22.1246i	−0.390765	−	1.71205i	−0.661969	−	0.749532i	$-0.730279\pi$
$167$	−5.04980	−	22.1246i	−0.390765	−	1.71205i	0.271203	−	0.962522i	$-0.412578\pi$
$168$	2.01012	−	4.11818i	0.155084	−	0.317725i
$169$	−2.25020	+	9.85878i	−0.173092	+	0.758367i
$170$	−0.424130	−	1.37500i	−0.0325293	−	0.105457i
$171$	−2.79442	+	1.95835i	−0.213694	+	0.149759i
$172$	−2.64212	−	6.73201i	−0.201460	−	0.513311i
$173$	−4.82746	+	1.48907i	−0.367025	+	0.113212i	−0.472781	−	0.881180i	$-0.656750\pi$
$173$	−4.82746	+	1.48907i	−0.367025	+	0.113212i	0.105756	+	0.994392i	$0.466274\pi$
$174$	1.37226	−	12.9261i	0.104031	−	0.979927i
$175$	−13.9252	−	8.97923i	−1.05265	−	0.678766i
$176$	−5.92253	+	1.35178i	−0.446427	+	0.101894i
$177$	9.50253	+	12.7036i	0.714254	+	0.954859i
$178$	−3.33782	−	1.92709i	−0.250180	−	0.144442i
$179$	−1.71014	+	5.54414i	−0.127822	+	0.414389i	−0.996751	−	0.0805485i	$-0.974333\pi$
$179$	−1.71014	+	5.54414i	−0.127822	+	0.414389i	0.868929	+	0.494937i	$0.164809\pi$
$180$	3.09113	+	9.58165i	0.230399	+	0.714174i
$181$	−19.4926	−	15.5449i	−1.44888	−	1.15544i	−0.958914	−	0.283698i	$-0.908439\pi$
$181$	−19.4926	−	15.5449i	−1.44888	−	1.15544i	−0.489963	−	0.871743i	$-0.662990\pi$
$182$	2.71203	−	3.58590i	0.201029	−	0.265805i
$183$	−6.21357	+	6.29405i	−0.459320	+	0.465270i
$184$	−3.77405	+	3.50181i	−0.278227	+	0.258157i
$185$	34.6331	−	5.22010i	2.54628	−	0.383789i
$186$	1.97662	−	1.72328i	0.144933	−	0.126357i
$187$	0.388207	−	2.57558i	0.0283885	−	0.188345i
$188$	4.86484	−	2.34278i	0.354805	−	0.170865i
$189$	−9.42693	−	10.0066i	−0.685708	−	0.727877i
$190$	3.43919	+	1.65623i	0.249505	+	0.120155i
$191$	10.1992	−	14.9595i	0.737990	−	1.08243i	−0.255309	−	0.966860i	$-0.582177\pi$
$191$	10.1992	−	14.9595i	0.737990	−	1.08243i	0.993299	−	0.115573i	$-0.0368705\pi$
$192$	1.40019	+	1.01954i	0.101050	+	0.0735789i
$193$	0.439303	−	5.86210i	0.0316218	−	0.421963i	−0.958818	−	0.284020i	$-0.908332\pi$
$193$	0.439303	−	5.86210i	0.0316218	−	0.421963i	0.990440	−	0.137943i	$-0.0440491\pi$
$194$	−1.52957	+	3.89727i	−0.109816	+	0.279808i
$195$	1.16908	+	9.80824i	0.0837196	+	0.702383i
$196$	6.14258	−	3.35689i	0.438756	−	0.239778i
$197$			16.3072i			1.16184i	0.813960	+	0.580920i	$0.197307\pi$
$197$			16.3072i			1.16184i	−0.813960	+	0.580920i	$0.802693\pi$
$198$	−2.48410	+	18.0544i	−0.176537	+	1.28307i
$199$	14.1156	+	1.05782i	1.00063	+	0.0749867i	0.564958	−	0.825120i	$-0.308892\pi$
$199$	14.1156	+	1.05782i	1.00063	+	0.0749867i	0.435670	+	0.900106i	$0.356511\pi$
$200$	4.25963	−	4.59079i	0.301201	−	0.324618i
$201$	−11.8841	−	6.18342i	−0.838238	−	0.436145i
$202$	−5.85109	+	12.1499i	−0.411681	+	0.854865i
$203$	13.1274	−	14.8974i	0.921360	−	1.04559i
$204$	−0.626258	+	0.399147i	−0.0438468	+	0.0279459i
$205$	35.2720	+	5.31640i	2.46350	+	0.371313i
$206$	4.93767	−	3.36645i	0.344024	−	0.234551i
$207$	5.82732	+	14.3038i	0.405027	+	0.994180i
$208$	1.15583	+	1.24569i	0.0801424	+	0.0863730i
$209$	4.30816	+	5.40226i	0.298002	+	0.373682i
$210$	−4.61073	+	14.6716i	−0.318171	+	1.01243i
$211$	−12.3198	+	15.4485i	−0.848130	+	1.06352i	0.149076	+	0.988826i	$0.452370\pi$
$211$	−12.3198	+	15.4485i	−0.848130	+	1.06352i	−0.997206	+	0.0746959i	$0.976201\pi$
$212$	−0.757575	+	0.0567724i	−0.0520305	+	0.00389915i
$213$	4.23585	−	23.2033i	0.290235	−	1.58986i
$214$	−0.774184	+	1.34093i	−0.0529221	+	0.0916638i
$215$	12.1351	+	21.0186i	0.827606	+	1.43346i
$216$	4.34553	−	2.84893i	0.295676	−	0.193845i
$217$	3.98550	−	0.401795i	0.270554	−	0.0272756i
$218$	−0.855490	−	0.195260i	−0.0579411	−	0.0132247i
$219$	1.07632	+	2.42427i	0.0727310	+	0.163817i
$220$	18.9777	−	7.44821i	1.27948	−	0.502158i
$221$	−0.678242	+	0.266190i	−0.0456235	+	0.0179059i
$222$	−7.33505	−	16.5213i	−0.492296	−	1.10883i
$223$	17.9956	+	4.10737i	1.20507	+	0.275050i	0.777472	−	0.628918i	$-0.216502\pi$
$223$	17.9956	+	4.10737i	1.20507	+	0.275050i	0.427601	+	0.903968i	$0.359359\pi$
$224$	0.844496	+	2.50735i	0.0564253	+	0.167530i
$225$	−8.36883	−	16.8208i	−0.557922	−	1.12139i
$226$	−7.42186	−	12.8550i	−0.493695	−	0.855105i
$227$	6.80451	−	11.7858i	0.451631	−	0.782248i	−0.546856	−	0.837226i	$-0.684176\pi$
$227$	6.80451	−	11.7858i	0.451631	−	0.782248i	0.998488	+	0.0549784i	$0.0175090\pi$
$228$	0.353802	−	1.93807i	0.0234311	−	0.128352i
$229$	−4.98636	+	0.373676i	−0.329508	+	0.0246932i	−0.238457	−	0.971153i	$-0.576642\pi$
$229$	−4.98636	+	0.373676i	−0.329508	+	0.0246932i	−0.0910507	+	0.995846i	$0.529023\pi$
$230$	10.7726	−	13.5084i	0.710325	−	0.890720i
$231$	−19.0426	+	20.3065i	−1.25291	+	1.33607i
$232$	4.67919	+	5.86752i	0.307204	+	0.385222i
$233$	−8.02854	−	8.65271i	−0.525967	−	0.566858i	0.413059	−	0.910704i	$-0.364460\pi$
$233$	−8.02854	−	8.65271i	−0.525967	−	0.566858i	−0.939026	+	0.343847i	$0.888270\pi$
$234$	4.72119	−	1.92341i	0.308634	−	0.125737i
$235$	−14.9721	+	10.2078i	−0.976673	+	0.665884i
$236$	−9.05701	−	1.36512i	−0.589561	−	0.0888620i
$237$	−6.95049	+	4.42992i	−0.451483	+	0.287754i
$238$	−1.13304	−	0.0557051i	−0.0734438	−	0.00361083i
$239$	−10.6935	+	22.2053i	−0.691706	+	1.43634i	0.198182	+	0.980165i	$0.436496\pi$
$239$	−10.6935	+	22.2053i	−0.691706	+	1.43634i	−0.889889	+	0.456178i	$0.849218\pi$
$240$	−5.15648	−	2.68298i	−0.332850	−	0.173186i
$241$	−3.28369	+	3.53898i	−0.211521	+	0.227966i	−0.829897	−	0.557917i	$-0.811601\pi$
$241$	−3.28369	+	3.53898i	−0.211521	+	0.227966i	0.618375	+	0.785883i	$0.287791\pi$
$242$	25.8312	+	1.93578i	1.66049	+	0.124437i
$243$	−3.38925	−	15.2155i	−0.217421	−	0.976078i
$244$		−	5.10632i		−	0.326899i
$245$	−18.7050	+	14.2122i	−1.19502	+	0.907986i
$246$	−2.17891	−	18.2804i	−0.138922	−	1.16552i
$247$	0.706157	−	1.79926i	0.0449317	−	0.114484i
$248$	−0.113142	+	1.50978i	−0.00718455	+	0.0958712i
$249$	−6.35699	−	4.62879i	−0.402858	−	0.293338i
$250$	−2.38687	+	3.50090i	−0.150959	+	0.221416i
$251$	10.0433	+	4.83659i	0.633927	+	0.305283i	0.723111	−	0.690732i	$-0.242712\pi$
$251$	10.0433	+	4.83659i	0.633927	+	0.305283i	−0.0891840	+	0.996015i	$0.528426\pi$
$252$	7.93204	+	0.287712i	0.499671	+	0.0181242i
$253$	28.1785	−	13.5700i	1.77157	−	0.853141i
$254$	−1.15640	+	7.67225i	−0.0725593	+	0.481400i
$255$	1.87859	−	1.63781i	0.117642	−	0.102564i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	−3.17561	+	2.94653i	−0.198089	+	0.183800i	−0.772980	−	0.634430i	$-0.781235\pi$
$257$	−3.17561	+	2.94653i	−0.198089	+	0.183800i	0.574891	+	0.818230i	$0.305044\pi$
$258$	8.80010	−	8.91408i	0.547870	−	0.554966i
$259$	5.45116	−	27.0687i	0.338719	−	1.68197i
$260$	−4.45869	−	3.55568i	−0.276516	−	0.220514i
$261$	21.4271	−	6.91258i	1.32630	−	0.427878i
$262$	1.91818	−	6.21860i	0.118506	−	0.384186i
$263$	−6.47242	−	3.73685i	−0.399106	−	0.230424i	0.286992	−	0.957933i	$-0.407345\pi$
$263$	−6.47242	−	3.73685i	−0.399106	−	0.230424i	−0.686098	+	0.727509i	$0.740678\pi$
$264$	−6.30247	−	8.42554i	−0.387891	−	0.518556i
$265$	2.48561	−	0.567325i	0.152690	−	0.0348505i
$266$	2.15276	−	2.10286i	0.131994	−	0.128934i
$267$	0.704736	−	6.63833i	0.0431291	−	0.406259i
$268$	7.39085	−	2.27977i	0.451468	−	0.139259i
$269$	−5.59759	−	14.2624i	−0.341291	−	0.869595i	−0.993735	−	0.111759i	$-0.964352\pi$
$269$	−5.59759	−	14.2624i	−0.341291	−	0.869595i	0.652444	−	0.757837i	$-0.273744\pi$
$270$	−12.9956	+	11.6277i	−0.790888	+	0.707639i
$271$	−2.44075	−	7.91272i	−0.148265	−	0.480663i	0.850724	−	0.525612i	$-0.176164\pi$
$271$	−2.44075	−	7.91272i	−0.148265	−	0.480663i	−0.998989	+	0.0449489i	$0.985688\pi$
$272$	0.0954091	−	0.418015i	0.00578503	−	0.0253459i
$273$	7.58274	+	1.77297i	0.458928	+	0.107305i
$274$	−1.08219	−	4.74138i	−0.0653774	−	0.286437i
$275$	−32.9471	+	19.0220i	−1.98679	+	1.14707i
$276$	−8.19604	−	3.51330i	−0.493344	−	0.211476i
$277$	−11.6478	−	3.59286i	−0.699846	−	0.215874i	−0.0756416	−	0.997135i	$-0.524100\pi$
$277$	−11.6478	−	3.59286i	−0.699846	−	0.215874i	−0.624204	+	0.781261i	$0.714577\pi$
$278$	−0.790992	−	10.5550i	−0.0474405	−	0.633050i
$279$	4.11726	+	1.91790i	0.246494	+	0.114821i
$280$	−4.05659	−	7.89823i	−0.242427	−	0.472010i
$281$	6.45058	−	5.14416i	0.384809	−	0.306875i	−0.411910	−	0.911224i	$-0.635138\pi$
$281$	6.45058	−	5.14416i	0.384809	−	0.306875i	0.796719	+	0.604349i	$0.206567\pi$
$282$	7.12790	+	6.05466i	0.424460	+	0.360550i
$283$	1.77188	+	11.7557i	0.105327	+	0.698801i	0.977707	+	0.209973i	$0.0673375\pi$
$283$	1.77188	+	11.7557i	0.105327	+	0.698801i	−0.872380	+	0.488829i	$0.837424\pi$
$284$	7.67120	+	11.2516i	0.455202	+	0.667659i
$285$	−0.204700	+	6.60844i	−0.0121254	+	0.391450i
$286$	−4.47902	−	9.30078i	−0.264850	−	0.549967i
$287$	13.4309	−	24.7069i	0.792800	−	1.45840i
$288$	−0.629870	+	2.93313i	−0.0371155	+	0.172836i
$289$	−13.8942	−	9.47288i	−0.817304	−	0.557228i
$290$	−18.4627	−	17.1309i	−1.08417	−	1.00596i
$291$	−7.24458	+	0.317764i	−0.424685	+	0.0186277i
$292$	−1.42554	−	0.559484i	−0.0834235	−	0.0327413i
$293$	−8.17512			−0.477596			−0.238798	−	0.971069i	$-0.576753\pi$
$293$	−8.17512			−0.477596			−0.238798	+	0.971069i	$0.576753\pi$
$294$	9.63132	+	7.36463i	0.561710	+	0.429514i
$295$	30.7384			1.78966
$296$	9.71497	+	3.81284i	0.564671	+	0.221617i
$297$	−30.3268	+	8.75682i	−1.75974	+	0.508122i
$298$	8.26238	+	7.66637i	0.478627	+	0.444101i
$299$	−7.22859	−	4.92837i	−0.418040	−	0.285015i
$300$	10.2612	+	3.51662i	0.592432	+	0.203032i
$301$	18.8407	−	3.33654i	1.08596	−	0.192315i
$302$	−1.11798	−	2.32151i	−0.0643327	−	0.133588i
$303$	−23.3462	−	0.723159i	−1.34120	−	0.0415444i
$304$	0.640742	+	0.939796i	0.0367491	+	0.0539010i
$305$	2.55409	+	16.9453i	0.146247	+	0.970284i
$306$	−1.07202	−	0.710859i	−0.0612834	−	0.0406371i
$307$	−12.9594	+	10.3347i	−0.739630	+	0.589835i	−0.919145	−	0.393920i	$-0.871119\pi$
$307$	−12.9594	+	10.3347i	−0.739630	+	0.589835i	0.179515	+	0.983755i	$0.442547\pi$
$308$	−0.412615	−	16.0672i	−0.0235109	−	0.915514i
$309$	8.79959	+	5.45049i	0.500591	+	0.310068i
$310$	−0.379703	−	5.06679i	−0.0215657	−	0.287774i
$311$	−15.2442	−	4.70221i	−0.864419	−	0.266638i	−0.169328	−	0.985560i	$-0.554160\pi$
$311$	−15.2442	−	4.70221i	−0.864419	−	0.266638i	−0.695091	+	0.718922i	$0.744636\pi$
$312$	−1.15962	+	2.70524i	−0.0656507	+	0.153154i
$313$	12.4304	−	7.17667i	0.702605	−	0.405649i	−0.105712	−	0.994397i	$-0.533712\pi$
$313$	12.4304	−	7.17667i	0.702605	−	0.405649i	0.808317	+	0.588748i	$0.200379\pi$
$314$	0.0829447	+	0.363404i	0.00468084	+	0.0205081i
$315$	−26.4663	+	3.01269i	−1.49121	+	0.169746i
$316$	1.05889	−	4.63932i	0.0595674	−	0.260982i
$317$	3.98605	+	12.9224i	0.223879	+	0.725797i	0.995921	+	0.0902261i	$0.0287590\pi$
$317$	3.98605	+	12.9224i	0.223879	+	0.725797i	−0.772043	+	0.635571i	$0.780765\pi$
$318$	−0.622323	−	1.15937i	−0.0348981	−	0.0650144i
$319$	−16.6561	−	42.4392i	−0.932565	−	2.37614i
$320$	3.20688	−	0.989191i	0.179270	−	0.0552975i
$321$	−2.66687	−	0.283119i	−0.148850	−	0.0158021i
$322$	−7.11130	−	11.6178i	−0.396297	−	0.647432i
$323$	−0.475466	+	0.108522i	−0.0264556	+	0.00603832i
$324$	7.56416	+	4.87684i	0.420231	+	0.270935i
$325$	9.21633	+	5.32105i	0.511230	+	0.295159i
$326$	−1.46821	+	4.75982i	−0.0813167	+	0.263622i
$327$	−0.292162	−	1.49151i	−0.0161566	−	0.0824808i
$328$	8.31002	+	6.62702i	0.458844	+	0.365916i
$329$	3.53542	+	13.8415i	0.194914	+	0.763108i
$330$	25.1290	+	24.8077i	1.38331	+	1.36562i
$331$	12.3479	−	11.4572i	0.678703	−	0.629745i	−0.263550	−	0.964646i	$-0.584893\pi$
$331$	12.3479	−	11.4572i	0.678703	−	0.629745i	0.942253	+	0.334901i	$0.108703\pi$
$332$	4.48937	−	0.676664i	0.246386	−	0.0371368i
$333$	20.9985	−	23.2234i	1.15071	−	1.27263i
$334$	−3.38230	+	22.4401i	−0.185071	+	1.22787i
$335$	−23.3862	+	11.2622i	−1.27772	+	0.615319i
$336$	−3.37571	+	3.09913i	−0.184160	+	0.169071i
$337$	−28.5262	−	13.7375i	−1.55392	−	0.748329i	−0.557288	−	0.830319i	$-0.688158\pi$
$337$	−28.5262	−	13.7375i	−1.55392	−	0.748329i	−0.996633	+	0.0819900i	$0.973872\pi$
$338$	5.69647	−	8.35519i	0.309847	−	0.454462i
$339$	15.1337	−	20.7841i	0.821952	−	1.12884i
$340$	−0.107531	+	1.43490i	−0.00583168	+	0.0778184i
$341$	3.36018	−	8.56161i	0.181964	−	0.463637i
$342$	3.31671	−	0.802058i	0.179347	−	0.0433703i
$343$	5.49830	+	17.6853i	0.296880	+	0.954915i
$344$			7.23193i			0.389920i
$345$	28.9558	+	7.55933i	1.55893	+	0.406981i
$346$	5.03777	+	0.377529i	0.270832	+	0.0202961i
$347$	−5.11079	+	5.50812i	−0.274362	+	0.295692i	−0.855169	−	0.518350i	$-0.826547\pi$
$347$	−5.11079	+	5.50812i	−0.274362	+	0.295692i	0.580807	+	0.814041i	$0.302737\pi$
$348$	−5.99984	+	11.5313i	−0.321625	+	0.618140i
$349$	−10.6400	+	22.0941i	−0.569544	+	1.18267i	0.394984	+	0.918688i	$0.370750\pi$
$349$	−10.6400	+	22.0941i	−0.569544	+	1.18267i	−0.964528	+	0.263982i	$0.914964\pi$
$350$	9.68214	+	13.4460i	0.517532	+	0.718718i
$351$	6.36305	+	6.12202i	0.339634	+	0.326769i
$352$	6.00699	+	0.905407i	0.320173	+	0.0482584i
$353$	0.950181	−	0.647823i	0.0505730	−	0.0344801i	−0.537770	−	0.843092i	$-0.680733\pi$
$353$	0.950181	−	0.647823i	0.0505730	−	0.0344801i	0.588343	+	0.808612i	$0.299781\pi$
$354$	−4.20452	−	15.2971i	−0.223468	−	0.813031i
$355$	−31.0847	−	33.5013i	−1.64980	−	1.77806i
$356$	2.40304	+	3.01332i	0.127361	+	0.159706i
$357$	−0.708152	−	1.83280i	−0.0374794	−	0.0970019i
$358$	3.61743	−	4.53611i	0.191187	−	0.239741i
$359$	7.23318	−	0.542052i	0.381752	−	0.0286084i	0.117528	−	0.993070i	$-0.462503\pi$
$359$	7.23318	−	0.542052i	0.381752	−	0.0286084i	0.264225	+	0.964461i	$0.414884\pi$
$360$	0.623120	−	10.0486i	0.0328413	−	0.529609i
$361$	−8.85312	+	15.3340i	−0.465954	+	0.807055i
$362$	12.4660	+	21.5918i	0.655199	+	1.13484i
$363$	15.0906	+	42.2524i	0.792052	+	2.21768i
$364$	−3.83464	+	2.34720i	−0.200990	+	0.123027i
$365$	5.01049	+	1.14361i	0.262261	+	0.0598594i
$366$	8.08352	−	3.58889i	0.422533	−	0.187594i
$367$	−9.99681	+	3.92346i	−0.521829	+	0.204803i	−0.611611	−	0.791159i	$-0.709478\pi$
$367$	−9.99681	+	3.92346i	−0.521829	+	0.204803i	0.0897819	+	0.995961i	$0.471383\pi$
$368$	4.79252	−	1.88093i	0.249827	−	0.0980500i
$369$	27.4073	−	16.2974i	1.42677	−	0.848410i
$370$	−34.1462	−	7.79364i	−1.77517	−	0.405172i
$371$	0.248449	−	1.99456i	0.0128988	−	0.103553i
$372$	−2.46957	+	0.882015i	−0.128041	+	0.0457304i
$373$	12.8851	+	22.3177i	0.667167	+	1.15557i	0.978693	+	0.205329i	$0.0658265\pi$
$373$	12.8851	+	22.3177i	0.667167	+	1.15557i	−0.311526	+	0.950238i	$0.600840\pi$
$374$	−1.30234	+	2.25572i	−0.0673423	+	0.116640i
$375$	−7.21965	−	1.31797i	−0.372821	−	0.0680598i
$376$	−5.38447	+	0.403510i	−0.277683	+	0.0208094i
$377$	−7.95144	+	9.97079i	−0.409520	+	0.513522i
$378$	5.11944	+	12.7590i	0.263316	+	0.656251i
$379$	23.9678	+	30.0547i	1.23114	+	1.54380i	0.739780	+	0.672849i	$0.234930\pi$
$379$	23.9678	+	30.0547i	1.23114	+	1.54380i	0.491363	+	0.870955i	$0.336499\pi$
$380$	−2.59637	−	2.79822i	−0.133191	−	0.143545i
$381$	−12.9583	+	3.56167i	−0.663871	+	0.182470i
$382$	−14.9595	+	10.1992i	−0.765396	+	0.521838i
$383$	18.1847	+	2.74091i	0.929197	+	0.140054i	0.596165	−	0.802862i	$-0.296690\pi$
$383$	18.1847	+	2.74091i	0.929197	+	0.140054i	0.333032	+	0.942916i	$0.391928\pi$
$384$	−0.930924	−	1.46061i	−0.0475060	−	0.0745364i
$385$	9.40579	+	53.1125i	0.479363	+	2.70686i
$386$	−2.55060	+	5.29638i	−0.129822	+	0.269578i
$387$	20.2964	+	7.66582i	1.03172	+	0.389675i
$388$	2.84767	−	3.06905i	0.144568	−	0.155808i
$389$	13.9768	+	1.04741i	0.708651	+	0.0531060i	0.424179	−	0.905578i	$-0.360563\pi$
$389$	13.9768	+	1.04741i	0.708651	+	0.0531060i	0.284472	+	0.958684i	$0.408182\pi$
$390$	2.49508	−	9.55734i	0.126344	−	0.483955i
$391$			2.20746i			0.111636i
$392$	−6.94438	+	0.880707i	−0.350744	+	0.0444824i
$393$	11.1925	−	1.33407i	0.564586	−	0.0672951i
$394$	5.95769	−	15.1800i	0.300144	−	0.764755i
$395$	−1.19343	+	15.9252i	−0.0600478	+	0.801282i
$396$	8.90840	−	15.8988i	0.447664	−	0.798947i
$397$	−14.4037	+	21.1264i	−0.722902	+	1.06030i	0.272276	+	0.962219i	$0.412224\pi$
$397$	−14.4037	+	21.1264i	−0.722902	+	1.06030i	−0.995178	+	0.0980838i	$0.968729\pi$
$398$	−12.7534	−	6.14170i	−0.639269	−	0.307856i
$399$	4.84194	+	1.92995i	0.242400	+	0.0966182i
$400$	−5.64238	+	2.71723i	−0.282119	+	0.135861i
$401$	0.0319954	−	0.212276i	0.00159777	−	0.0106005i	−0.988018	−	0.154340i	$-0.950675\pi$
$401$	0.0319954	−	0.212276i	0.00159777	−	0.0106005i	0.989616	+	0.143740i	$0.0459129\pi$
$402$	8.80352	+	10.0977i	0.439079	+	0.503629i
$403$	−2.54406	+	0.383455i	−0.126729	+	0.0191013i
$404$	9.88549	−	9.17239i	0.491822	−	0.456344i
$405$	−27.5409	−	12.4003i	−1.36852	−	0.616175i
$406$	−17.6625	+	9.07159i	−0.876576	+	0.450216i
$407$	−49.5676	−	39.5289i	−2.45698	−	1.95937i
$408$	0.728792	−	0.142758i	0.0360806	−	0.00706758i
$409$	0.139722	−	0.452967i	0.00690880	−	0.0223978i	−0.952053	−	0.305934i	$-0.901031\pi$
$409$	0.139722	−	0.452967i	0.00690880	−	0.0223978i	0.958962	+	0.283536i	$0.0915076\pi$
$410$	−30.8915	−	17.8352i	−1.52562	−	0.880818i
$411$	6.74520	−	5.04555i	0.332716	−	0.248879i
$412$	−5.82625	+	1.32980i	−0.287039	+	0.0655147i
$413$	8.27137	−	22.7779i	0.407007	−	1.12083i
$414$	−0.198754	−	15.4440i	−0.00976824	−	0.759029i
$415$	−14.5595	+	4.49101i	−0.714697	+	0.220455i
$416$	−0.620831	−	1.58185i	−0.0304387	−	0.0775567i
$417$	16.1532	−	8.67062i	0.791024	−	0.424602i
$418$	−2.03668	−	6.60277i	−0.0996175	−	0.322952i
$419$	1.08908	−	4.77159i	0.0532053	−	0.233107i	−0.941333	−	0.337479i	$-0.890426\pi$
$419$	1.08908	−	4.77159i	0.0532053	−	0.233107i	0.994538	+	0.104371i	$0.0332830\pi$
$420$	9.65214	−	11.9729i	0.470976	−	0.584218i
$421$	5.05215	+	22.1349i	0.246227	+	1.07879i	0.935233	+	0.354033i	$0.115190\pi$
$421$	5.05215	+	22.1349i	0.246227	+	1.07879i	−0.689006	+	0.724755i	$0.741953\pi$
$422$	17.1122	−	9.87971i	0.833007	−	0.480937i
$423$	−4.57506	+	15.5392i	−0.222447	+	0.755541i
$424$	0.725948	+	0.223925i	0.0352552	+	0.0108748i
$425$	−0.200663	−	2.67766i	−0.00973358	−	0.129886i
$426$	−12.4202	+	20.0518i	−0.601759	+	0.971514i
$427$	13.2442	+	2.66714i	0.640930	+	0.129072i
$428$	1.21056	−	0.965392i	0.0585148	−	0.0466640i
$429$	11.5755	−	13.6274i	0.558872	−	0.657936i
$430$	−3.61728	−	23.9991i	−0.174441	−	1.15734i
$431$	2.58118	+	3.78590i	0.124331	+	0.182360i	0.883358	−	0.468699i	$-0.155277\pi$
$431$	2.58118	+	3.78590i	0.124331	+	0.182360i	−0.759027	+	0.651059i	$0.774325\pi$
$432$	−5.08597	+	1.06439i	−0.244699	+	0.0512106i
$433$	1.13243	+	2.35152i	0.0544212	+	0.113007i	0.926406	−	0.376526i	$-0.122882\pi$
$433$	1.13243	+	2.35152i	0.0544212	+	0.113007i	−0.871985	+	0.489533i	$0.837167\pi$
$434$	−3.85679	−	1.08205i	−0.185132	−	0.0519399i
$435$	14.1427	−	41.2674i	0.678091	−	1.97862i
$436$	0.725016	+	0.494308i	0.0347220	+	0.0236730i
$437$	−4.29275	−	3.98309i	−0.205350	−	0.190537i
$438$	−0.116232	−	2.64992i	−0.00555376	−	0.126618i
$439$	21.0009	+	8.24225i	1.00232	+	0.393381i	0.809034	−	0.587762i	$-0.199991\pi$
$439$	21.0009	+	8.24225i	1.00232	+	0.393381i	0.193284	+	0.981143i	$0.438086\pi$
$440$	−20.3870			−0.971912
$441$	−4.88931	+	20.4229i	−0.232824	+	0.972519i
$442$	0.728608			0.0346564
$443$	−21.2792	−	8.35146i	−1.01100	−	0.396790i	−0.198722	−	0.980056i	$-0.563679\pi$
$443$	−21.2792	−	8.35146i	−1.01100	−	0.396790i	−0.812281	+	0.583266i	$0.801774\pi$
$444$	0.792110	+	18.0590i	0.0375919	+	0.857042i
$445$	−9.48169	−	8.79772i	−0.449475	−	0.417052i
$446$	−15.2510	−	10.3980i	−0.722157	−	0.492358i
$447$	−6.32911	+	18.4679i	−0.299357	+	0.873501i
$448$	0.129920	−	2.64256i	0.00613815	−	0.124849i
$449$	12.1067	+	25.1398i	0.571349	+	1.18642i	0.963795	+	0.266644i	$0.0859147\pi$
$449$	12.1067	+	25.1398i	0.571349	+	1.18642i	−0.392446	+	0.919775i	$0.628371\pi$
$450$	1.64498	+	18.7156i	0.0775452	+	0.882260i
$451$	−36.3730	−	53.3494i	−1.71274	−	2.51212i
$452$	2.21234	+	14.6779i	0.104060	+	0.690392i
$453$	2.88930	−	3.40145i	0.135751	−	0.159814i
$454$	−10.6400	+	8.48508i	−0.499358	+	0.398225i
$455$	11.5512	−	9.70720i	0.541528	−	0.455080i
$456$	−1.03740	+	1.67484i	−0.0485808	+	0.0784316i
$457$	0.687015	+	9.16758i	0.0321372	+	0.428841i	0.989947	+	0.141439i	$0.0451728\pi$
$457$	0.687015	+	9.16758i	0.0321372	+	0.428841i	−0.957810	+	0.287403i	$0.907208\pi$
$458$	4.77819	+	1.47388i	0.223270	+	0.0688697i
$459$	0.371867	−	2.19667i	0.0173573	−	0.102532i
$460$	−14.9631	+	8.63897i	−0.697660	+	0.402794i
$461$	−4.53757	−	19.8804i	−0.211336	−	0.925923i	−0.963660	−	0.267130i	$-0.913925\pi$
$461$	−4.53757	−	19.8804i	−0.211336	−	0.925923i	0.752325	−	0.658792i	$-0.228932\pi$
$462$	25.1451	−	11.9458i	1.16986	−	0.555767i
$463$	4.81201	−	21.0828i	0.223633	−	0.979800i	−0.731085	−	0.682287i	$-0.760986\pi$
$463$	4.81201	−	21.0828i	0.223633	−	0.979800i	0.954718	−	0.297513i	$-0.0961572\pi$
$464$	−2.21209	−	7.17142i	−0.102694	−	0.332925i
$465$	7.75407	−	4.16219i	0.359587	−	0.193017i
$466$	4.31237	+	10.9877i	0.199767	+	0.508997i
$467$	−28.9116	+	8.91806i	−1.33787	+	0.412679i	−0.879422	−	0.476042i	$-0.842071\pi$
$467$	−28.9116	+	8.91806i	−1.33787	+	0.412679i	−0.458449	+	0.888721i	$0.651595\pi$
$468$	−5.09754	+	0.0656022i	−0.235634	+	0.00303246i
$469$	2.05260	+	20.3603i	0.0947805	+	0.940150i
$470$	17.6665	−	4.03226i	0.814894	−	0.185994i
$471$	−0.516989	+	0.386718i	−0.0238216	+	0.0178190i
$472$	7.93219	+	4.57965i	0.365109	+	0.210796i
$473$	12.9494	−	41.9810i	0.595415	−	1.93029i
$474$	8.08846	−	1.58439i	0.371515	−	0.0727736i
$475$	5.56921	+	4.44130i	0.255533	+	0.203781i
$476$	1.03436	+	0.465799i	0.0474099	+	0.0213499i
$477$	1.39795	−	1.80001i	0.0640076	−	0.0824168i
$478$	18.0668	−	16.7636i	0.826358	−	0.766748i
$479$	−25.7583	+	3.88244i	−1.17693	+	0.177393i	−0.708241	−	0.705971i	$-0.750511\pi$
$479$	−25.7583	+	3.88244i	−1.17693	+	0.177393i	−0.468687	+	0.883364i	$0.655273\pi$
$480$	3.81983	+	4.38139i	0.174351	+	0.199982i
$481$	−2.64323	+	17.5367i	−0.120521	+	0.799604i
$482$	4.34964	−	2.09467i	0.198121	−	0.0954098i
$483$	13.3933	−	19.4228i	0.609418	−	0.883770i
$484$	−23.3384	−	11.2392i	−1.06084	−	0.510871i
$485$	−7.91487	+	11.6090i	−0.359396	+	0.527137i
$486$	−2.40390	+	15.4020i	−0.109043	+	0.698648i
$487$	1.37208	−	18.3091i	0.0621747	−	0.829664i	−0.875737	−	0.482789i	$-0.839624\pi$
$487$	1.37208	−	18.3091i	0.0621747	−	0.829664i	0.937911	−	0.346875i	$-0.112757\pi$
$488$	−1.86555	+	4.75334i	−0.0844494	+	0.215174i
$489$	−8.56691	+	1.02112i	−0.387409	+	0.0461768i
$490$	22.6043	−	6.39607i	1.02116	−	0.288945i
$491$			5.08507i			0.229486i	0.993395	+	0.114743i	$0.0366045\pi$
$491$			5.08507i			0.229486i	−0.993395	+	0.114743i	$0.963396\pi$
$492$	−4.65030	+	17.8128i	−0.209652	+	0.803064i
$493$	3.20881	+	0.240467i	0.144518	+	0.0108301i
$494$	−1.31469	+	1.41689i	−0.0591505	+	0.0637491i
$495$	−21.6101	+	57.2160i	−0.971304	+	2.57167i
$496$	0.656906	−	1.36408i	0.0294960	−	0.0612490i
$497$	−33.1898	+	14.0197i	−1.48877	+	0.628869i
$498$	4.22647	+	6.63129i	0.189393	+	0.297155i
$499$	12.8591	+	1.93820i	0.575653	+	0.0867657i	0.430415	−	0.902631i	$-0.358367\pi$
$499$	12.8591	+	1.93820i	0.575653	+	0.0867657i	0.145238	+	0.989397i	$0.453605\pi$
$500$	3.50090	−	2.38687i	0.156565	−	0.106744i
$501$	−37.9009	+	10.4173i	−1.69329	+	0.465412i
$502$	−7.58203	−	8.17148i	−0.338402	−	0.364711i
$503$	14.3350	+	17.9755i	0.639167	+	0.801490i	0.990899	−	0.134611i	$-0.0429785\pi$
$503$	14.3350	+	17.9755i	0.639167	+	0.801490i	−0.351732	+	0.936101i	$0.614407\pi$
$504$	−7.27861	−	3.16572i	−0.324215	−	0.141012i
$505$	−28.2170	+	35.3831i	−1.25564	+	1.57453i
$506$	−31.1883	+	2.33724i	−1.38649	+	0.103903i
$507$	17.2303	+	3.14545i	0.765224	+	0.139694i
$508$	3.87945	−	6.71941i	0.172123	−	0.298126i
$509$	−19.0633	−	33.0186i	−0.844967	−	1.46353i	−0.885650	−	0.464353i	$-0.846287\pi$
$509$	−19.0633	−	33.0186i	−0.844967	−	1.46353i	0.0406832	−	0.999172i	$-0.487047\pi$
$510$	−2.34708	+	0.838270i	−0.103931	+	0.0371192i
$511$	2.19571	−	3.40517i	0.0971327	−	0.150636i
$512$	0.974928	+	0.222521i	0.0430861	+	0.00983413i
$513$	3.60079	+	4.68679i	0.158979	+	0.206927i
$514$	4.03258	−	1.58267i	0.177869	−	0.0698086i
$515$	18.6692	−	7.32713i	0.822664	−	0.322872i
$516$	−11.4485	+	5.08284i	−0.503990	+	0.223760i
$517$	31.9791	+	7.29901i	1.40644	+	0.321010i
$518$	−14.9636	+	23.2060i	−0.657465	+	1.01961i
$519$	2.94307	+	8.24035i	0.129186	+	0.361711i
$520$	2.85144	+	4.93883i	0.125044	+	0.216582i
$521$	17.7836	−	30.8021i	0.779114	−	1.34946i	−0.153339	−	0.988174i	$-0.549003\pi$
$521$	17.7836	−	30.8021i	0.779114	−	1.34946i	0.932453	−	0.361291i	$-0.117664\pi$
$522$	−22.4714	−	1.39346i	−0.983545	−	0.0609900i
$523$	34.7022	−	2.60057i	1.51742	−	0.113715i	0.710215	−	0.703985i	$-0.248598\pi$
$523$	34.7022	−	2.60057i	1.51742	−	0.113715i	0.807206	+	0.590269i	$0.200979\pi$
$524$	−4.05750	+	5.08794i	−0.177253	+	0.222268i
$525$	−14.4806	+	24.7775i	−0.631987	+	1.08138i
$526$	4.65978	+	5.84318i	0.203176	+	0.254775i
$527$	0.441538	+	0.475865i	0.0192337	+	0.0207290i
$528$	2.78861	+	10.1457i	0.121359	+	0.441533i
$529$	−2.89690	+	1.97507i	−0.125952	+	0.0858726i
$530$	−2.52106	−	0.379988i	−0.109508	−	0.0165056i
$531$	21.2609	−	17.4072i	0.922643	−	0.755410i
$532$	−2.77220	+	1.17100i	−0.120190	+	0.0507694i
$533$	−7.83678	+	16.2732i	−0.339448	+	0.704872i
$534$	−3.08128	+	5.92198i	−0.133340	+	0.256269i
$535$	−3.53437	+	3.80915i	−0.152804	+	0.164684i
$536$	−7.71284	−	0.577998i	−0.333144	−	0.0249657i
$537$	9.72331	+	2.53841i	0.419592	+	0.109541i
$538$			15.3215i			0.660559i
$539$	41.8887	+	7.32207i	1.80428	+	0.315384i
$540$	16.3454	−	6.07609i	0.703392	−	0.261473i
$541$	7.44789	−	18.9769i	0.320210	−	0.815881i	−0.676621	−	0.736331i	$-0.736556\pi$
$541$	7.44789	−	18.9769i	0.320210	−	0.815881i	0.996831	−	0.0795499i	$-0.0253483\pi$
$542$	−0.618810	+	8.25745i	−0.0265802	+	0.354688i
$543$	−25.4192	+	34.9097i	−1.09084	+	1.49812i
$544$	−0.241532	+	0.354262i	−0.0103556	+	0.0151889i
$545$	−2.65320	−	1.27772i	−0.113651	−	0.0547313i
$546$	−6.41084	−	4.42070i	−0.274358	−	0.189188i
$547$	11.1668	−	5.37764i	0.477457	−	0.229931i	−0.179647	−	0.983731i	$-0.557496\pi$
$547$	11.1668	−	5.37764i	0.477457	−	0.229931i	0.657104	+	0.753800i	$0.271781\pi$
$548$	−0.724839	+	4.80899i	−0.0309636	+	0.205430i
$549$	11.3627	+	10.2742i	0.484950	+	0.438491i
$550$	37.6192	−	5.67018i	1.60409	−	0.241777i
$551$	−6.25755	+	5.80615i	−0.266580	+	0.247350i
$552$	6.34593	+	6.26479i	0.270101	+	0.266647i
$553$	11.4798	+	5.16965i	0.488172	+	0.219836i
$554$	9.52997	+	7.59990i	0.404890	+	0.322889i
$555$	−11.6614	−	59.5325i	−0.494999	−	2.52701i
$556$	−3.11988	+	10.1144i	−0.132312	+	0.428946i
$557$	29.4192	+	16.9852i	1.24653	+	0.719686i	0.970416	−	0.241438i	$-0.0776191\pi$
$557$	29.4192	+	16.9852i	1.24653	+	0.719686i	0.276117	+	0.961124i	$0.410952\pi$
$558$	−3.13196	−	3.28952i	−0.132587	−	0.139257i
$559$	−11.9812	+	2.73464i	−0.506752	+	0.115663i
$560$	0.890622	+	8.83430i	0.0376357	+	0.373317i
$561$	−4.48622	−	0.476264i	−0.189408	−	0.0201079i
$562$	−7.88405	+	2.43191i	−0.332568	+	0.102584i
$563$	−2.58971	−	6.59847i	−0.109143	−	0.278092i	0.865859	−	0.500288i	$-0.166773\pi$
$563$	−2.58971	−	6.59847i	−0.109143	−	0.278092i	−0.975002	+	0.222196i	$0.928677\pi$
$564$	−4.42316	−	8.24024i	−0.186248	−	0.346977i
$565$	−14.6833	−	47.6020i	−0.617730	−	2.00263i
$566$	2.64543	−	11.5904i	0.111196	−	0.487180i
$567$	−16.5999	+	17.0717i	−0.697129	+	0.716945i
$568$	−3.03025	−	13.2764i	−0.127147	−	0.557066i
$569$	9.50120	−	5.48552i	0.398311	−	0.229965i	−0.287444	−	0.957797i	$-0.592806\pi$
$569$	9.50120	−	5.48552i	0.398311	−	0.229965i	0.685755	+	0.727833i	$0.259472\pi$
$570$	2.60488	−	6.07684i	0.109107	−	0.254531i
$571$	14.3344	+	4.42157i	0.599875	+	0.185037i	0.579796	−	0.814761i	$-0.303132\pi$
$571$	14.3344	+	4.42157i	0.599875	+	0.185037i	0.0200787	+	0.999798i	$0.493608\pi$
$572$	0.771445	+	10.2942i	0.0322557	+	0.430423i
$573$	−26.6599	−	16.5132i	−1.11373	−	0.689849i
$574$	−21.5289	+	18.0921i	−0.898599	+	0.755150i
$575$	25.2080	−	20.1027i	1.05125	−	0.838342i
$576$	1.65792	−	2.50026i	0.0690801	−	0.104177i
$577$	−6.36460	−	42.2264i	−0.264962	−	1.75791i	−0.585502	−	0.810671i	$-0.699102\pi$
$577$	−6.36460	−	42.2264i	−0.264962	−	1.75791i	0.320540	−	0.947235i	$-0.396136\pi$
$578$	9.47288	+	13.8942i	0.394020	+	0.577921i
$579$	−10.1770	−	0.315239i	−0.422943	−	0.0131009i
$580$	10.9278	+	22.6919i	0.453753	+	0.942228i
$581$	−0.589848	+	11.9974i	−0.0244710	+	0.497737i
$582$	6.85988	+	2.35094i	0.284351	+	0.0974497i
$583$	−3.81313	−	2.59975i	−0.157924	−	0.107671i
$584$	1.12260	+	1.04162i	0.0464534	+	0.0431024i
$585$	16.8833	−	2.76740i	0.698039	−	0.114418i
$586$	7.61001	+	2.98671i	0.314366	+	0.123380i
$587$	−15.0233			−0.620076			−0.310038	−	0.950724i	$-0.600342\pi$
$587$	−15.0233			−0.620076			−0.310038	+	0.950724i	$0.600342\pi$
$588$	−6.27494	−	10.3743i	−0.258774	−	0.427827i
$589$	−1.72210			−0.0709578
$590$	−28.6136	−	11.2300i	−1.17800	−	0.462332i
$591$	28.2178	−	1.23770i	1.16072	−	0.0509121i
$592$	−7.65042	−	7.09855i	−0.314430	−	0.291749i
$593$	−16.2612	−	11.0867i	−0.667766	−	0.455275i	0.181394	−	0.983410i	$-0.441939\pi$
$593$	−16.2612	−	11.0867i	−0.667766	−	0.455275i	−0.849160	+	0.528136i	$0.822891\pi$
$594$	31.4297	+	2.92814i	1.28958	+	0.120143i
$595$	−3.66551	−	1.02838i	−0.150271	−	0.0421595i
$596$	−4.89039	−	10.1550i	−0.200318	−	0.415965i
$597$	0.759076	−	24.5057i	0.0310669	−	1.00295i
$598$	4.92837	+	7.22859i	0.201536	+	0.295599i
$599$	−0.00676468	−	0.0448807i	−0.000276397	−	0.00183378i	0.988692	−	0.149959i	$-0.0479142\pi$
$599$	−0.00676468	−	0.0448807i	−0.000276397	−	0.00183378i	−0.988969	+	0.148125i	$0.952676\pi$
$600$	−8.26714	−	7.02237i	−0.337505	−	0.286687i
$601$	29.0556	−	23.1711i	1.18520	−	0.945167i	0.185902	−	0.982568i	$-0.440479\pi$
$601$	29.0556	−	23.1711i	1.18520	−	0.945167i	0.999300	+	0.0374012i	$0.0119079\pi$
$602$	−18.7573	−	3.77740i	−0.764491	−	0.153955i
$603$	−9.79773	+	21.0334i	−0.398994	+	0.856545i
$604$	0.192556	+	2.56948i	0.00783500	+	0.104551i
$605$	83.0698	+	25.6237i	3.37727	+	1.04175i
$606$	21.4681	+	9.20249i	0.872084	+	0.373826i
$607$	−35.5343	+	20.5158i	−1.44229	+	0.832709i	−0.998003	−	0.0631736i	$-0.979878\pi$
$607$	−35.5343	+	20.5158i	−1.44229	+	0.832709i	−0.444291	+	0.895882i	$0.646544\pi$
$608$	−0.253104	−	1.10892i	−0.0102647	−	0.0449727i
$609$	−26.7745	−	21.5847i	−1.08496	−	0.874657i
$610$	3.81327	−	16.7070i	0.154395	−	0.676448i
$611$	−2.70455	−	8.76794i	−0.109414	−	0.354713i
$612$	0.738212	+	1.05337i	0.0298404	+	0.0425801i
$613$	3.02797	+	7.71513i	0.122298	+	0.311611i	0.978891	−	0.204382i	$-0.0655183\pi$
$613$	3.02797	+	7.71513i	0.122298	+	0.311611i	−0.856593	+	0.515993i	$0.827423\pi$
$614$	15.8392	−	4.88576i	0.639219	−	0.197173i
$615$	6.52232	−	61.4377i	0.263005	−	2.47741i
$616$	−5.48592	+	15.1073i	−0.221034	+	0.608690i
$617$	32.2054	−	7.35068i	1.29654	−	0.295927i	0.482071	−	0.876132i	$-0.339885\pi$
$617$	32.2054	−	7.35068i	1.29654	−	0.295927i	0.814471	+	0.580205i	$0.197027\pi$
$618$	−6.20002	−	8.28857i	−0.249401	−	0.333415i
$619$	−34.8424	−	20.1163i	−1.40043	−	0.808541i	−0.405997	−	0.913875i	$-0.633076\pi$
$619$	−34.8424	−	20.1163i	−1.40043	−	0.808541i	−0.994437	+	0.105334i	$0.966409\pi$
$620$	−1.49765	+	4.85526i	−0.0601470	+	0.194992i
$621$	24.3087	−	11.1692i	0.975476	−	0.448203i
$622$	12.4725	+	9.94650i	0.500102	+	0.398818i
$623$	−9.07075	+	4.65880i	−0.363412	+	0.186651i
$624$	2.06780	−	2.09458i	0.0827782	−	0.0838503i
$625$	12.5301	−	11.6262i	0.501204	−	0.465050i
$626$	−14.1930	+	2.13925i	−0.567267	+	0.0855018i
$627$	9.02102	−	7.86481i	0.360265	−	0.314090i
$628$	0.0555555	−	0.368587i	0.00221691	−	0.0147082i
$629$	4.03162	−	1.94152i	0.160751	−	0.0774137i
$630$	25.7375	+	6.86479i	1.02540	+	0.273500i
$631$	29.6267	+	14.2675i	1.17942	+	0.567979i	0.917742	−	0.397176i	$-0.130010\pi$
$631$	29.6267	+	14.2675i	1.17942	+	0.567979i	0.261678	+	0.965155i	$0.415724\pi$
$632$	−2.68063	+	3.93176i	−0.106630	+	0.156397i
$633$	27.6670	+	20.1455i	1.09967	+	0.800712i
$634$	1.01059	−	13.4854i	0.0401358	−	0.535575i
$635$	−9.51300	+	24.2387i	−0.377512	+	0.961885i
$636$	0.155737	+	1.30659i	0.00617539	+	0.0518097i
$637$	−4.08498	−	11.1718i	−0.161853	−	0.442644i
$638$			45.5907i			1.80495i
$639$	−40.4722	−	5.56855i	−1.60106	−	0.220288i
$640$	−3.34659	−	0.250792i	−0.132286	−	0.00991344i
$641$	6.74990	−	7.27466i	0.266605	−	0.287332i	−0.585533	−	0.810648i	$-0.699115\pi$
$641$	6.74990	−	7.27466i	0.266605	−	0.287332i	0.852139	+	0.523316i	$0.175305\pi$
$642$	2.37908	+	1.23786i	0.0938948	+	0.0488546i
$643$	−9.58956	+	19.9129i	−0.378175	+	0.785289i	0.621822	+	0.783158i	$0.286393\pi$
$643$	−9.58956	+	19.9129i	−0.378175	+	0.785289i	−0.999998	+	0.00213095i	$0.999322\pi$
$644$	2.37528	+	13.4127i	0.0935992	+	0.528535i
$645$	35.4493	−	22.5937i	1.39581	−	0.889626i
$646$	0.482246	+	0.0726869i	0.0189737	+	0.00285983i
$647$	−35.2705	+	24.0470i	−1.38663	+	0.945387i	−0.386898	+	0.922122i	$0.626454\pi$
$647$	−35.2705	+	24.0470i	−1.38663	+	0.945387i	−0.999729	+	0.0232643i	$0.992594\pi$
$648$	−5.25957	−	7.30322i	−0.206615	−	0.286897i
$649$	−37.8457	−	40.7880i	−1.48557	−	1.60107i
$650$	−6.63524	−	8.32033i	−0.260256	−	0.326350i
$651$	−0.997756	−	6.86597i	−0.0391052	−	0.269098i
$652$	3.10568	−	3.89440i	0.121628	−	0.152516i
$653$	−4.00712	+	0.300292i	−0.156811	+	0.0117513i	−0.152904	−	0.988241i	$-0.548863\pi$
$653$	−4.00712	+	0.300292i	−0.156811	+	0.0117513i	−0.00390654	+	0.999992i	$0.501243\pi$
$654$	−0.272945	+	1.49515i	−0.0106730	+	0.0584649i
$655$	10.9199	−	18.9138i	0.426675	−	0.739022i
$656$	−5.31446	−	9.20491i	−0.207495	−	0.359392i
$657$	4.11324	−	2.04645i	0.160473	−	0.0798396i
$658$	1.76585	−	14.1763i	0.0688400	−	0.552652i
$659$	−26.9459	−	6.15023i	−1.04966	−	0.239579i	−0.337306	−	0.941395i	$-0.609516\pi$
$659$	−26.9459	−	6.15023i	−1.04966	−	0.239579i	−0.712358	+	0.701816i	$0.752373\pi$
$660$	−14.3287	−	32.2735i	−0.557743	−	1.25624i
$661$	2.38724	−	0.936921i	0.0928527	−	0.0364420i	−0.318460	−	0.947936i	$-0.603166\pi$
$661$	2.38724	−	0.936921i	0.0928527	−	0.0364420i	0.411313	+	0.911494i	$0.365070\pi$
$662$	−15.6801	+	6.15400i	−0.609426	+	0.239182i
$663$	0.512090	+	1.15342i	0.0198879	+	0.0447950i
$664$	−4.42625	−	1.01026i	−0.171772	−	0.0392058i
$665$	8.61382	−	5.27257i	0.334030	−	0.204462i
$666$	−28.0315	+	13.9464i	−1.08620	+	0.540413i
$667$	19.3190	+	33.4615i	0.748035	+	1.29563i
$668$	11.3468	−	19.6532i	0.439021	−	0.760406i
$669$	5.74150	−	31.4511i	0.221979	−	1.21597i
$670$	25.8841	−	1.93975i	0.999990	−	0.0749389i
$671$	19.3407	−	24.2525i	0.746639	−	0.936256i
$672$	4.27460	−	1.65161i	0.164896	−	0.0637123i
$673$	1.16426	+	1.45994i	0.0448790	+	0.0562765i	0.803764	−	0.594948i	$-0.202827\pi$
$673$	1.16426	+	1.45994i	0.0448790	+	0.0562765i	−0.758885	+	0.651224i	$0.774256\pi$
$674$	21.5354	+	23.2097i	0.829514	+	0.894003i
$675$	−28.4714	+	15.7580i	−1.09586	+	0.606526i
$676$	−8.35519	+	5.69647i	−0.321353	+	0.219095i
$677$	−29.0147	−	4.37325i	−1.11512	−	0.168078i	−0.434472	−	0.900685i	$-0.643065\pi$
$677$	−29.0147	−	4.37325i	−1.11512	−	0.168078i	−0.680651	+	0.732607i	$0.738303\pi$
$678$	−21.6809	+	13.8184i	−0.832649	+	0.530692i
$679$	6.47275	+	8.98897i	0.248401	+	0.344965i
$680$	0.624326	−	1.29643i	0.0239418	−	0.0497156i
$681$	−20.9104	−	10.8799i	−0.801287	−	0.416919i
$682$	−6.25581	+	6.74216i	−0.239547	+	0.258171i
$683$	−15.8189	−	1.18546i	−0.605293	−	0.0453605i	−0.231441	−	0.972849i	$-0.574344\pi$
$683$	−15.8189	−	1.18546i	−0.605293	−	0.0453605i	−0.373852	+	0.927488i	$0.621963\pi$
$684$	−3.38047	−	0.465117i	−0.129255	−	0.0177842i
$685$		−	16.3211i		−	0.623599i
$686$	1.34293	−	18.4715i	0.0512732	−	0.705245i
$687$	1.02506	+	8.59996i	0.0391086	+	0.328109i
$688$	2.64212	−	6.73201i	0.100730	−	0.256656i
$689$	−0.0964745	+	1.28736i	−0.00367538	+	0.0490446i
$690$	−24.1924	−	17.6155i	−0.920991	−	0.670611i
$691$	−10.6751	+	15.6576i	−0.406101	+	0.595641i	−0.973747	−	0.227631i	$-0.926902\pi$
$691$	−10.6751	+	15.6576i	−0.406101	+	0.595641i	0.567646	+	0.823273i	$0.307854\pi$
$692$	−4.55160	−	2.19194i	−0.173026	−	0.0833249i
$693$	36.5835	+	31.4099i	1.38969	+	1.19316i
$694$	6.76985	−	3.26019i	0.256980	−	0.123755i
$695$	5.29425	−	35.1251i	0.200822	−	1.33237i
$696$	9.79794	−	8.54215i	0.371390	−	0.323789i
$697$	4.50640	−	0.679231i	0.170692	−	0.0257277i
$698$	17.9763	−	16.6796i	0.680414	−	0.631332i
$699$	−14.3632	+	14.5492i	−0.543265	+	0.550302i
$700$	−4.10048	−	16.0538i	−0.154984	−	0.606777i
$701$	−18.7410	−	14.9454i	−0.707837	−	0.564481i	0.202031	−	0.979379i	$-0.435246\pi$
$701$	−18.7410	−	14.9454i	−0.707837	−	0.564481i	−0.909868	+	0.414898i	$0.863817\pi$
$702$	−3.68657	−	8.02351i	−0.139141	−	0.302828i
$703$	−3.49897	+	11.3434i	−0.131966	+	0.427823i
$704$	−5.26096	−	3.03742i	−0.198280	−	0.114477i
$705$	18.7998	+	25.1328i	0.708043	+	0.946555i
$706$	−1.12117	+	0.255901i	−0.0421960	+	0.00963096i
$707$	18.6269	+	30.4307i	0.700535	+	1.14447i
$708$	−1.67478	+	15.7757i	−0.0629420	+	0.592889i
$709$	5.17515	−	1.59632i	0.194357	−	0.0599511i	−0.196049	−	0.980594i	$-0.562811\pi$
$709$	5.17515	−	1.59632i	0.194357	−	0.0599511i	0.390405	+	0.920643i	$0.372335\pi$
$710$	16.6965	+	42.5420i	0.626608	+	1.59657i
$711$	8.19300	+	11.6908i	0.307262	+	0.438440i
$712$	−1.13604	−	3.68295i	−0.0425749	−	0.138024i
$713$	−1.73450	+	7.59934i	−0.0649575	+	0.284597i
$714$	−0.0103953	+	1.96482i	−0.000389035	+	0.0735315i
$715$	−7.70902	−	33.7754i	−0.288301	−	1.26313i
$716$	−5.02460	+	2.90095i	−0.187778	+	0.108414i
$717$	39.2354	+	16.8186i	1.46527	+	0.628101i
$718$	−6.93121	−	2.13799i	−0.258670	−	0.0797892i
$719$	1.80845	+	24.1321i	0.0674438	+	0.899976i	0.923624	+	0.383299i	$0.125212\pi$
$719$	1.80845	+	24.1321i	0.0674438	+	0.899976i	−0.856181	+	0.516677i	$0.827169\pi$
$720$	−4.25122	+	9.12635i	−0.158434	+	0.340119i
$721$	−0.405907	−	15.8060i	−0.0151168	−	0.588647i
$722$	13.8433	−	11.0397i	0.515194	−	0.410853i
$723$	6.37303	+	5.41345i	0.237016	+	0.201328i
$724$	−3.71593	−	24.6536i	−0.138101	−	0.916242i
$725$	−26.4758	−	38.8329i	−0.983287	−	1.44222i
$726$	1.38909	−	44.8449i	0.0515541	−	1.66435i
$727$	−17.8143	−	36.9918i	−0.660696	−	1.37195i	−0.914457	−	0.404682i	$-0.867382\pi$
$727$	−17.8143	−	36.9918i	−0.660696	−	1.37195i	0.253762	−	0.967267i	$-0.418332\pi$
$728$	4.42709	−	0.784001i	0.164079	−	0.0290570i
$729$	−26.0715	+	7.01956i	−0.965613	+	0.259984i
$730$	−4.24633	−	2.89510i	−0.157164	−	0.107152i
$731$	2.27304	+	2.10908i	0.0840716	+	0.0780070i
$732$	−8.83591	+	0.387564i	−0.326585	+	0.0143248i
$733$	−11.8264	−	4.64152i	−0.436818	−	0.171438i	0.136734	−	0.990608i	$-0.456340\pi$
$733$	−11.8264	−	4.64152i	−0.436818	−	0.171438i	−0.573551	+	0.819170i	$0.694435\pi$
$734$	10.7392			0.396390
$735$	26.0123	+	31.2883i	0.959480	+	1.15409i
$736$	−5.14841			−0.189773
$737$	43.7377	+	17.1658i	1.61110	+	0.632310i
$738$	−31.4668	+	5.15783i	−1.15831	+	0.189862i
$739$	31.9702	+	29.6640i	1.17604	+	1.09121i	0.994163	+	0.107889i	$0.0344091\pi$
$739$	31.9702	+	29.6640i	1.17604	+	1.09121i	0.181881	+	0.983321i	$0.441781\pi$
$740$	28.9384	+	19.7299i	1.06380	+	0.725285i
$741$	−3.16701	−	1.08536i	−0.116343	−	0.0398718i
$742$	−0.959970	+	1.76592i	−0.0352416	+	0.0648289i
$743$	6.68687	+	13.8854i	0.245318	+	0.509407i	0.986876	−	0.161481i	$-0.0516272\pi$
$743$	6.68687	+	13.8854i	0.245318	+	0.509407i	−0.741558	+	0.670889i	$0.765913\pi$
$744$	2.62109	+	0.0811896i	0.0960939	+	0.00297655i
$745$	21.3081	+	31.2532i	0.780668	+	1.14503i
$746$	−3.84086	−	25.4824i	−0.140624	−	0.932978i
$747$	−7.52711	+	11.3514i	−0.275402	+	0.415325i
$748$	2.03642	−	1.62399i	0.0744588	−	0.0593789i
$749$	1.87161	+	3.64406i	0.0683873	+	0.133151i
$750$	6.23907	+	3.86450i	0.227819	+	0.141112i
$751$	1.03453	+	13.8048i	0.0377505	+	0.503745i	0.983746	+	0.179565i	$0.0574691\pi$
$751$	1.03453	+	13.8048i	0.0377505	+	0.503745i	−0.945996	+	0.324180i	$0.894912\pi$
$752$	5.15968	+	1.59155i	0.188154	+	0.0580378i
$753$	7.60690	−	17.7459i	0.277211	−	0.646695i
$754$	11.0445	−	6.37656i	0.402218	−	0.232221i
$755$	−1.92420	−	8.43049i	−0.0700290	−	0.306817i
$756$	−0.104179	−	13.7473i	−0.00378896	−	0.499986i
$757$	0.232315	−	1.01784i	0.00844363	−	0.0369940i	−0.970531	−	0.240978i	$-0.922532\pi$
$757$	0.232315	−	1.01784i	0.00844363	−	0.0369940i	0.978974	+	0.203984i	$0.0653890\pi$
$758$	−11.3308	−	36.7335i	−0.411553	−	1.33422i
$759$	−25.6201	−	47.7297i	−0.929952	−	1.73248i
$760$	1.39458	+	3.55334i	0.0505869	+	0.128893i
$761$	−0.342826	+	0.105748i	−0.0124274	+	0.00383336i	−0.300963	−	0.953636i	$-0.597308\pi$
$761$	−0.342826	+	0.105748i	−0.0124274	+	0.00383336i	0.288535	+	0.957469i	$0.406832\pi$
$762$	13.3637	+	1.41871i	0.484117	+	0.0513946i
$763$	−1.66077	+	1.62227i	−0.0601239	+	0.0587302i
$764$	17.6516	−	4.02887i	0.638613	−	0.145759i
$765$	−2.97663	−	3.12637i	−0.107620	−	0.113034i
$766$	−15.9263	−	9.19508i	−0.575442	−	0.332232i
$767$	−4.58774	+	14.8731i	−0.165654	+	0.537036i
$768$	0.332952	+	1.69975i	0.0120144	+	0.0613344i
$769$	27.5822	+	21.9960i	0.994639	+	0.793198i	0.978411	−	0.206671i	$-0.0662628\pi$
$769$	27.5822	+	21.9960i	0.994639	+	0.793198i	0.0162280	+	0.999868i	$0.494834\pi$
$770$	10.6486	−	52.8774i	0.383748	−	1.90557i
$771$	5.33967	+	5.27139i	0.192303	+	0.189845i
$772$	4.30927	−	3.99842i	0.155094	−	0.143906i
$773$	−46.8883	+	7.06728i	−1.68646	+	0.254192i	−0.921075	−	0.389385i	$-0.872688\pi$
$773$	−46.8883	+	7.06728i	−1.68646	+	0.254192i	−0.765381	+	0.643577i	$0.777449\pi$
$774$	−16.0927	−	14.5510i	−0.578441	−	0.523025i
$775$	1.41316	−	9.37572i	0.0507623	−	0.336786i
$776$	−3.77207	+	1.81653i	−0.135409	+	0.0652097i
$777$	−47.2530	−	7.37813i	−1.69519	−	0.264689i
$778$	−12.6279	−	6.08130i	−0.452734	−	0.218025i
$779$	−6.81039	+	9.98901i	−0.244008	+	0.357893i
$780$	−5.81430	+	7.98512i	−0.208185	+	0.285913i
$781$	−6.18213	+	82.4948i	−0.221214	+	2.95190i
$782$	0.806474	−	2.05486i	0.0288395	−	0.0734818i
$783$	−13.5877	−	36.5525i	−0.485586	−	1.30628i
$784$	6.78610	+	1.71724i	0.242361	+	0.0613299i
$785$			1.25094i			0.0446480i
$786$	−10.9062	−	2.84722i	−0.389010	−	0.101557i
$787$	33.7961	+	2.53266i	1.20470	+	0.0902797i	0.661906	−	0.749587i	$-0.269748\pi$
$787$	33.7961	+	2.53266i	1.20470	+	0.0902797i	0.542793	+	0.839866i	$0.317367\pi$
$788$	−11.0917	+	11.9540i	−0.395126	+	0.425845i
$789$	−5.97495	+	11.4834i	−0.212714	+	0.408820i
$790$	6.92905	−	14.3883i	0.246524	−	0.511913i
$791$	−39.2254	−	1.92850i	−1.39470	−	0.0685695i
$792$	−14.1011	+	11.5452i	−0.501061	+	0.410241i
$793$	−8.58035	−	1.29328i	−0.304697	−	0.0459257i
$794$	21.1264	−	14.4037i	0.749747	−	0.511169i
$795$	−1.17035	−	4.25801i	−0.0415079	−	0.151016i
$796$	9.62796	+	10.3765i	0.341254	+	0.367784i
$797$	−7.45344	−	9.34631i	−0.264014	−	0.331063i	0.632100	−	0.774887i	$-0.282193\pi$
$797$	−7.45344	−	9.34631i	−0.264014	−	0.331063i	−0.896114	+	0.443823i	$0.853622\pi$
$798$	−3.80215	−	3.56550i	−0.134595	−	0.126217i
$799$	−1.44347	+	1.81005i	−0.0510662	+	0.0640350i
$800$	6.24506	−	0.468002i	0.220796	−	0.0165464i
$801$	−11.5404	−	0.715624i	−0.407759	−	0.0252853i
$802$	−0.107337	+	0.185913i	−0.00379019	+	0.00656480i
$803$	−4.65151	−	8.05665i	−0.164148	−	0.284313i
$804$	−4.50585	−	12.6160i	−0.158909	−	0.444932i
$805$	−14.5912	−	43.3219i	−0.514271	−	1.52690i
$806$	2.50829	+	0.572500i	0.0883507	+	0.0201655i
$807$	−24.2547	+	10.7685i	−0.853805	+	0.379069i
$808$	−12.5532	+	4.92677i	−0.441620	+	0.173323i
$809$	−20.2985	+	7.96657i	−0.713657	+	0.280090i	−0.694262	−	0.719722i	$-0.744269\pi$
$809$	−20.2985	+	7.96657i	−0.713657	+	0.280090i	−0.0193947	+	0.999812i	$0.506174\pi$
$810$	21.1068	+	21.6049i	0.741616	+	0.759119i
$811$	−50.1009	−	11.4352i	−1.75928	−	0.401544i	−0.783691	−	0.621151i	$-0.786665\pi$
$811$	−50.1009	−	11.4352i	−1.75928	−	0.401544i	−0.975588	+	0.219608i	$0.929522\pi$
$812$	19.7558	−	1.99167i	0.693293	−	0.0698938i
$813$	−13.5068	+	4.82401i	−0.473705	+	0.169185i
$814$	31.6997	+	54.9055i	1.11107	+	1.92444i
$815$	−8.35826	+	14.4769i	−0.292777	+	0.507105i
$816$	−0.730569	−	0.133368i	−0.0255750	−	0.00466881i
$817$	−8.20287	+	0.614720i	−0.286982	+	0.0215063i
$818$	−0.295551	+	0.370609i	−0.0103337	+	0.0129580i
$819$	2.49240	−	13.2556i	0.0870916	−	0.463190i
$820$	22.2401	+	27.8882i	0.776659	+	0.973899i
$821$	13.2087	+	14.2356i	0.460988	+	0.496827i	0.920172	−	0.391514i	$-0.128049\pi$
$821$	13.2087	+	14.2356i	0.460988	+	0.496827i	−0.459184	+	0.888341i	$0.651858\pi$
$822$	−8.12228	+	2.23247i	−0.283297	+	0.0778663i
$823$	−23.7734	+	16.2085i	−0.828690	+	0.564991i	−0.901711	−	0.432339i	$-0.857688\pi$
$823$	−23.7734	+	16.2085i	−0.828690	+	0.564991i	0.0730209	+	0.997330i	$0.476736\pi$
$824$	5.90933	+	0.890689i	0.205861	+	0.0310286i
$825$	35.4161	+	55.5676i	1.23303	+	1.93461i
$826$	−16.0213	+	18.1815i	−0.557453	+	0.632616i
$827$	13.5474	−	28.1315i	0.471090	−	0.978228i	−0.521100	−	0.853495i	$-0.674478\pi$
$827$	13.5474	−	28.1315i	0.471090	−	0.978228i	0.992190	−	0.124733i	$-0.0398074\pi$
$828$	−5.45729	+	14.4490i	−0.189654	+	0.502137i
$829$	−5.43685	+	5.85953i	−0.188830	+	0.203510i	−0.820370	−	0.571833i	$-0.806233\pi$
$829$	−5.43685	+	5.85953i	−0.188830	+	0.203510i	0.631540	+	0.775343i	$0.282423\pi$
$830$	15.1938	+	1.13862i	0.527384	+	0.0395220i
$831$	−5.33298	+	20.4278i	−0.184999	+	0.708633i
$832$			1.69932i			0.0589133i
$833$	−1.74840	+	2.43951i	−0.0605786	+	0.0845240i
$834$	−18.2043	+	2.16984i	−0.630363	+	0.0751353i
$835$	−27.8240	+	70.8945i	−0.962891	+	2.45341i
$836$	−0.516366	+	6.89043i	−0.0178589	+	0.238311i
$837$	3.00621	−	7.27002i	0.103910	−	0.251289i
$838$	−2.75706	+	4.04386i	−0.0952410	+	0.139693i
$839$	36.2090	+	17.4373i	1.25007	+	0.602004i	0.937532	−	0.347900i	$-0.113105\pi$
$839$	36.2090	+	17.4373i	1.25007	+	0.602004i	0.312543	+	0.949904i	$0.398819\pi$
$840$	−13.3591	+	7.61893i	−0.460933	+	0.262878i
$841$	24.6169	−	11.8549i	0.848857	−	0.408788i
$842$	3.38388	−	22.4506i	0.116616	−	0.773697i
$843$	−9.39098	−	10.7716i	−0.323443	−	0.370992i
$844$	−19.5387	+	2.94499i	−0.672551	+	0.101371i
$845$	24.8773	−	23.0828i	0.855807	−	0.794073i
$846$	9.93591	−	12.7936i	0.341604	−	0.439852i
$847$	41.3410	−	54.6618i	1.42049	−	1.87820i
$848$	−0.593957	−	0.473665i	−0.0203966	−	0.0162657i
$849$	20.2074	−	3.95828i	0.693515	−	0.135848i
$850$	−0.791467	+	2.56587i	−0.0271471	+	0.0880088i
$851$	46.5323	+	26.8654i	1.59511	+	0.920935i
$852$	18.8874	−	14.1281i	0.647070	−	0.484022i
$853$	−19.7114	+	4.49899i	−0.674905	+	0.154043i	−0.546218	−	0.837643i	$-0.683933\pi$
$853$	−19.7114	+	4.49899i	−0.674905	+	0.154043i	−0.128686	+	0.991685i	$0.541076\pi$
$854$	−11.3542	−	7.32141i	−0.388534	−	0.250534i
$855$	11.4507	−	0.147363i	0.391605	−	0.00503972i
$856$	−1.47958	+	0.456389i	−0.0505709	+	0.0155991i
$857$	−1.88795	−	4.81041i	−0.0644910	−	0.164320i	0.894995	−	0.446075i	$-0.147179\pi$
$857$	−1.88795	−	4.81041i	−0.0644910	−	0.164320i	−0.959486	+	0.281755i	$0.909083\pi$
$858$	−15.7540	+	8.45636i	−0.537833	+	0.288695i
$859$	0.618200	+	2.00416i	0.0210927	+	0.0683809i	0.965507	−	0.260376i	$-0.0838465\pi$
$859$	0.618200	+	2.00416i	0.0210927	+	0.0683809i	−0.944415	+	0.328757i	$0.893370\pi$
$860$	−5.40062	+	23.6617i	−0.184160	+	0.806856i
$861$	−43.7718	−	21.3654i	−1.49174	−	0.728131i
$862$	−1.01961	−	4.46720i	−0.0347280	−	0.152153i
$863$	−15.6685	+	9.04624i	−0.533363	+	0.307938i	−0.742385	−	0.669973i	$-0.766305\pi$
$863$	−15.6685	+	9.04624i	−0.533363	+	0.307938i	0.209022	+	0.977911i	$0.432972\pi$
$864$	5.12326	+	0.867298i	0.174297	+	0.0295061i
$865$	16.2008	+	4.99729i	0.550845	+	0.169913i
$866$	−0.195045	−	2.60269i	−0.00662789	−	0.0884431i
$867$	−15.3372	+	24.7613i	−0.520879	+	0.840937i
$868$	3.19487	+	2.41629i	0.108441	+	0.0820144i
$869$	22.6011	−	18.0238i	0.766689	−	0.611414i
$870$	−28.2417	+	33.2478i	−0.957485	+	1.12721i
$871$	−1.95891	−	12.9965i	−0.0663752	−	0.440371i
$872$	−0.494308	−	0.725016i	−0.0167394	−	0.0245522i
$873$	1.09971	+	12.5118i	0.0372195	+	0.423460i
$874$	2.54082	+	5.27607i	0.0859446	+	0.178466i
$875$	4.36219	+	10.3269i	0.147469	+	0.349114i
$876$	−0.859926	+	2.50920i	−0.0290542	+	0.0847781i
$877$	−34.1877	−	23.3088i	−1.15444	−	0.787081i	−0.174160	−	0.984717i	$-0.555721\pi$
$877$	−34.1877	−	23.3088i	−1.15444	−	0.787081i	−0.980275	+	0.197637i	$0.936673\pi$
$878$	−16.5380	−	15.3450i	−0.558129	−	0.517868i
$879$	0.620482	+	14.1461i	0.0209283	+	0.477137i
$880$	18.9777	+	7.44821i	0.639739	+	0.251079i
$881$	39.2899			1.32371			0.661855	−	0.749632i	$-0.269769\pi$
$881$	39.2899			1.32371			0.661855	+	0.749632i	$0.269769\pi$
$882$	12.0127	−	17.2249i	0.404487	−	0.579992i
$883$	−40.7212			−1.37038			−0.685188	−	0.728366i	$-0.740280\pi$
$883$	−40.7212			−1.37038			−0.685188	+	0.728366i	$0.740280\pi$
$884$	−0.678242	−	0.266190i	−0.0228118	−	0.00895295i
$885$	−2.33301	−	53.1893i	−0.0784233	−	1.78794i
$886$	16.7571	+	15.5483i	0.562965	+	0.522355i
$887$	29.7455	+	20.2801i	0.998755	+	0.680939i	0.948164	−	0.317780i	$-0.102937\pi$
$887$	29.7455	+	20.2801i	0.998755	+	0.680939i	0.0505901	+	0.998719i	$0.483890\pi$
$888$	5.86034	−	17.1000i	0.196660	−	0.573840i
$889$	15.4017	+	13.5718i	0.516556	+	0.455182i
$890$	5.61208	+	11.6536i	0.188118	+	0.390630i
$891$	17.4545	+	51.8125i	0.584746	+	1.73578i
$892$	10.3980	+	15.2510i	0.348150	+	0.510642i
$893$	−0.915368	−	6.07307i	−0.0306316	−	0.203228i
$894$	12.6387	−	14.8790i	0.422701	−	0.497628i
$895$	15.2231	−	12.1400i	0.508852	−	0.405796i
$896$	−1.08637	+	2.41242i	−0.0362932	+	0.0805934i
$897$	−7.97935	+	12.8823i	−0.266423	+	0.430128i
$898$	−2.08520	−	27.8250i	−0.0695839	−	0.928533i
$899$	10.8576	+	3.34914i	0.362122	+	0.111700i
$900$	5.30629	−	18.0228i	0.176876	−	0.600760i
$901$	0.282093	−	0.162866i	0.00939786	−	0.00542586i
$902$	14.3679	+	62.9501i	0.478400	+	2.09601i
$903$	−7.20349	−	32.3485i	−0.239717	−	1.07649i
$904$	3.30304	−	14.4716i	0.109857	−	0.481317i
$905$	24.6625	+	79.9540i	0.819811	+	2.65776i
$906$	−3.93227	+	2.11074i	−0.130641	+	0.0701247i
$907$	−5.64256	−	14.3770i	−0.187358	−	0.477381i	0.806072	−	0.591817i	$-0.201589\pi$
$907$	−5.64256	−	14.3770i	−0.187358	−	0.477381i	−0.993431	+	0.114436i	$0.963494\pi$
$908$	13.0044	−	4.01133i	0.431566	−	0.133121i
$909$	0.520603	+	40.4528i	0.0172673	+	1.34174i
$910$	−14.2991	+	4.81605i	−0.474011	+	0.159651i
$911$	−1.50200	+	0.342821i	−0.0497633	+	0.0113582i	−0.247330	−	0.968931i	$-0.579553\pi$
$911$	−1.50200	+	0.342821i	−0.0497633	+	0.0113582i	0.197567	+	0.980289i	$0.436696\pi$
$912$	1.57758	−	1.18006i	0.0522388	−	0.0390757i
$913$	23.8852	+	13.7901i	0.790485	+	0.456387i
$914$	2.70977	−	8.78486i	0.0896312	−	0.290577i
$915$	29.1280	−	5.70569i	0.962943	−	0.188624i
$916$	−3.90942	−	3.11766i	−0.129171	−	0.103010i
$917$	−11.0772	−	13.1814i	−0.365800	−	0.435288i
$918$	−1.14870	+	1.90897i	−0.0379126	+	0.0630053i
$919$	1.46383	−	1.35823i	0.0482872	−	0.0448040i	−0.655660	−	0.755056i	$-0.727610\pi$
$919$	1.46383	−	1.35823i	0.0482872	−	0.0448040i	0.703947	+	0.710252i	$0.251419\pi$
$920$	17.0850	−	2.57514i	0.563274	−	0.0848999i
$921$	18.8667	+	21.6403i	0.621679	+	0.713073i
$922$	−3.03922	+	20.1639i	−0.100091	+	0.664063i
$923$	20.8494	−	10.0405i	0.686265	−	0.330488i
$924$	−27.7712	+	1.93347i	−0.913605	+	0.0636063i
$925$	−58.8861	−	28.3581i	−1.93616	−	0.932407i
$926$	−12.1818	+	17.8674i	−0.400318	+	0.587159i
$927$	8.76358	−	15.6404i	0.287834	−	0.513698i
$928$	−0.560838	+	7.48386i	−0.0184104	+	0.245670i
$929$	−14.1325	+	36.0090i	−0.463672	+	1.18142i	0.487602	+	0.873066i	$0.337872\pi$
$929$	−14.1325	+	36.0090i	−0.463672	+	1.18142i	−0.951273	+	0.308350i	$0.900223\pi$
$930$	−8.73868	+	1.04160i	−0.286553	+	0.0341553i
$931$	−1.58923	−	7.80185i	−0.0520848	−	0.255695i
$932$		−	11.8037i		−	0.386642i
$933$	−6.97963	+	26.7353i	−0.228503	+	0.875273i
$934$	30.1712	+	2.26102i	0.987232	+	0.0739828i
$935$	−5.94554	+	6.40777i	−0.194440	+	0.209557i
$936$	4.76913	+	1.80127i	0.155884	+	0.0588764i
$937$	11.8574	−	24.6221i	0.387364	−	0.804369i	−0.612539	−	0.790440i	$-0.709852\pi$
$937$	11.8574	−	24.6221i	0.387364	−	0.804369i	0.999903	−	0.0139288i	$-0.00443382\pi$
$938$	5.52773	−	19.7027i	0.180487	−	0.643317i
$939$	−13.3619	−	20.9646i	−0.436048	−	0.684155i
$940$	−17.9184	−	2.70077i	−0.584434	−	0.0880893i
$941$	−43.9399	+	29.9577i	−1.43240	+	0.976593i	−0.435315	+	0.900278i	$0.643363\pi$
$941$	−43.9399	+	29.9577i	−1.43240	+	0.976593i	−0.997084	+	0.0763149i	$0.975685\pi$
$942$	0.622535	−	0.171108i	0.0202833	−	0.00557501i
$943$	37.2204	+	40.1141i	1.21206	+	1.30629i
$944$	−5.71074	−	7.16104i	−0.185869	−	0.233072i
$945$	7.22189	+	45.5683i	0.234928	+	1.48234i
$946$	−27.3917	+	34.3480i	−0.890579	+	1.11675i
$947$	34.4092	−	2.57861i	1.11815	−	0.0837937i	0.497194	−	0.867640i	$-0.334364\pi$
$947$	34.4092	−	2.57861i	1.11815	−	0.0837937i	0.620955	+	0.783846i	$0.286745\pi$
$948$	−8.10818	−	1.48018i	−0.263341	−	0.0480739i
$949$	−1.30117	+	2.25369i	−0.0422378	+	0.0731579i
$950$	−3.56164	−	6.16895i	−0.115555	−	0.200147i
$951$	22.0583	−	7.87820i	0.715289	−	0.255468i
$952$	−0.792685	−	0.811495i	−0.0256911	−	0.0263007i
$953$	−36.3873	−	8.30516i	−1.17870	−	0.269031i	−0.412090	−	0.911143i	$-0.635201\pi$
$953$	−36.3873	−	8.30516i	−1.17870	−	0.269031i	−0.766610	+	0.642113i	$0.778058\pi$
$954$	−1.95893	+	1.16485i	−0.0634227	+	0.0377135i
$955$	−56.5616	+	22.1988i	−1.83029	+	0.718336i
$956$	−22.9424	+	9.00421i	−0.742009	+	0.291217i
$957$	−72.1720	+	32.0427i	−2.33299	+	1.03579i
$958$	25.3962	+	5.79651i	0.820513	+	0.187277i
$959$	−12.0944	−	4.39184i	−0.390548	−	0.141820i
$960$	−1.95508	−	5.47406i	−0.0631000	−	0.176675i
$961$	−14.3539	−	24.8617i	−0.463028	−	0.801989i
$962$	8.86738	−	15.3588i	0.285896	−	0.495186i
$963$	−0.287493	+	4.63620i	−0.00926432	+	0.149399i
$964$	−4.81423	+	0.360777i	−0.155056	+	0.0116198i
$965$	−12.3003	+	15.4241i	−0.395962	+	0.496521i
$966$	−19.5635	+	13.1871i	−0.629445	+	0.424287i
$967$	6.76383	+	8.48158i	0.217510	+	0.272749i	0.878601	−	0.477557i	$-0.158478\pi$
$967$	6.76383	+	8.48158i	0.217510	+	0.272749i	−0.661091	+	0.750306i	$0.729906\pi$
$968$	17.6190	+	18.9887i	0.566295	+	0.610320i
$969$	0.223872	+	0.814503i	0.00719182	+	0.0261656i
$970$	11.6090	−	7.91487i	0.372742	−	0.254131i
$971$	37.7495	+	5.68982i	1.21144	+	0.182595i	0.723526	−	0.690298i	$-0.242520\pi$
$971$	37.7495	+	5.68982i	1.21144	+	0.182595i	0.487913	+	0.872893i	$0.337758\pi$
$972$	7.86470	−	13.4591i	0.252260	−	0.431700i
$973$	−24.6039	−	13.3749i	−0.788766	−	0.428781i
$974$	−7.96629	+	16.5422i	−0.255256	+	0.530045i
$975$	8.50797	−	16.3517i	0.272473	−	0.523673i
$976$	3.47318	−	3.74320i	0.111174	−	0.119817i
$977$	−33.3427	−	2.49869i	−1.06673	−	0.0799403i	−0.470222	−	0.882548i	$-0.655826\pi$
$977$	−33.3427	−	2.49869i	−1.06673	−	0.0799403i	−0.596507	+	0.802608i	$0.703445\pi$
$978$	8.34777	+	2.17931i	0.266932	+	0.0696866i
$979$			23.4135i			0.748299i
$980$	−23.3785	−	2.30436i	−0.746800	−	0.0736100i
$981$	−2.55872	+	0.618757i	−0.0816936	+	0.0197554i
$982$	1.85778	−	4.73356i	0.0592843	−	0.151054i
$983$	2.05579	−	27.4326i	0.0655694	−	0.874963i	−0.863332	−	0.504636i	$-0.831627\pi$
$983$	2.05579	−	27.4326i	0.0655694	−	0.874963i	0.928902	−	0.370327i	$-0.120754\pi$
$984$	10.8366	−	14.8825i	0.345458	−	0.474438i
$985$	30.8286	−	45.2172i	0.982281	−	1.44074i
$986$	−2.89915	−	1.39616i	−0.0923277	−	0.0444627i
$987$	23.6829	−	7.16820i	0.753834	−	0.228166i
$988$	1.74146	−	0.838641i	0.0554031	−	0.0266807i
$989$	−5.54928	+	36.8171i	−0.176457	+	1.17072i
$990$	41.0197	−	45.3658i	1.30369	−	1.44182i
$991$	20.7878	−	3.13325i	0.660345	−	0.0995311i	0.189684	−	0.981845i	$-0.439254\pi$
$991$	20.7878	−	3.13325i	0.660345	−	0.0995311i	0.470661	+	0.882314i	$0.344015\pi$
$992$	−1.10985	+	1.02979i	−0.0352378	+	0.0326959i
$993$	−20.7626	−	20.4971i	−0.658881	−	0.650456i
$994$	36.0175	−	0.924949i	1.14241	−	0.0293376i
$995$	−37.1404	−	29.6185i	−1.17743	−	0.938970i
$996$	−1.51163	−	7.71699i	−0.0478978	−	0.244522i
$997$	−10.6964	+	34.6769i	−0.338759	+	1.09823i	0.612665	+	0.790343i	$0.290098\pi$
$997$	−10.6964	+	34.6769i	−0.338759	+	1.09823i	−0.951423	+	0.307885i	$0.900379\pi$
$998$	−11.2621	−	6.50218i	−0.356495	−	0.205823i
$999$	−41.7792	−	34.5730i	−1.32184	−	1.09384i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.5	✓	216
3.2	odd	2	inner	294.2.p.a.101.13	yes	216
49.33	odd	42	inner	294.2.p.a.131.13	yes	216
147.131	even	42	inner	294.2.p.a.131.5	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.5	✓	216	1.1	even	1	trivial
294.2.p.a.101.13	yes	216	3.2	odd	2	inner
294.2.p.a.131.5	yes	216	147.131	even	42	inner
294.2.p.a.131.13	yes	216	49.33	odd	42	inner

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

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$q$ -expansion

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	294.2.p.a.101.5

Level	$294$
Weight	$2$
Character	294.101
Analytic conductor	$2.348$
Analytic rank	$0$
Dimension	$216$
Inner twists	$4$