LMFDB - Embedded newform 23.3.d.a.11.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [23,3,Mod(5,23)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(23, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("23.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 23 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	23.d (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.626704608029$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.1
Character	$\chi$	$=$	23.11
Dual form			23.3.d.a.21.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.94274 + 1.24852i) q^{2} +(-0.365090 + 2.53926i) q^{3} +(0.553766 - 1.21258i) q^{4} +(0.682875 + 2.32566i) q^{5} +(-2.46105 - 5.38894i) q^{6} +(6.72814 - 5.82996i) q^{7} +(-0.876504 - 6.09622i) q^{8} +(2.32089 + 0.681474i) q^{9} +O(q^{10})$	\(q+(-1.94274 + 1.24852i) q^{2} +(-0.365090 + 2.53926i) q^{3} +(0.553766 - 1.21258i) q^{4} +(0.682875 + 2.32566i) q^{5} +(-2.46105 - 5.38894i) q^{6} +(6.72814 - 5.82996i) q^{7} +(-0.876504 - 6.09622i) q^{8} +(2.32089 + 0.681474i) q^{9} +(-4.23029 - 3.66556i) q^{10} +(-7.88967 + 12.2766i) q^{11} +(2.87688 + 1.84886i) q^{12} +(6.60766 - 7.62565i) q^{13} +(-5.79217 + 19.7263i) q^{14} +(-6.15477 + 0.884922i) q^{15} +(12.8059 + 14.7788i) q^{16} +(8.06496 - 3.68314i) q^{17} +(-5.35971 + 1.57375i) q^{18} +(-25.9309 - 11.8422i) q^{19} +(3.19820 + 0.459831i) q^{20} +(12.3474 + 19.2129i) q^{21} -33.7006i q^{22} +(-0.249912 - 22.9986i) q^{23} +15.7999 q^{24} +(16.0890 - 10.3397i) q^{25} +(-3.31617 + 23.0644i) q^{26} +(-12.1690 + 26.6464i) q^{27} +(-3.34347 - 11.3868i) q^{28} +(-15.6008 - 34.1610i) q^{29} +(10.8523 - 9.40353i) q^{30} +(4.24493 + 29.5242i) q^{31} +(-19.6925 - 5.78224i) q^{32} +(-28.2929 - 24.5160i) q^{33} +(-11.0696 + 17.2247i) q^{34} +(18.1530 + 11.6662i) q^{35} +(2.11157 - 2.43688i) q^{36} +(-7.89508 + 26.8882i) q^{37} +(65.1623 - 9.36892i) q^{38} +(16.9511 + 19.5626i) q^{39} +(13.5792 - 6.20141i) q^{40} +(16.5798 - 4.86826i) q^{41} +(-47.9756 - 21.9097i) q^{42} +(-38.7355 - 5.56933i) q^{43} +(10.5173 + 16.3652i) q^{44} +5.86295i q^{45} +(29.1998 + 44.3683i) q^{46} +3.32799 q^{47} +(-42.2026 + 27.1219i) q^{48} +(4.30592 - 29.9483i) q^{49} +(-18.3472 + 40.1749i) q^{50} +(6.40802 + 21.8237i) q^{51} +(-5.58759 - 12.2351i) q^{52} +(0.249675 - 0.216345i) q^{53} +(-9.62744 - 66.9603i) q^{54} +(-33.9388 - 9.96532i) q^{55} +(-41.4380 - 35.9062i) q^{56} +(39.5377 - 61.5218i) q^{57} +(72.9590 + 46.8879i) q^{58} +(30.0250 - 34.6507i) q^{59} +(-2.33526 + 7.95317i) q^{60} +(20.9446 - 3.01138i) q^{61} +(-45.1084 - 52.0578i) q^{62} +(19.5882 - 8.94563i) q^{63} +(-29.5755 + 8.68416i) q^{64} +(22.2469 + 10.1598i) q^{65} +(85.5746 + 12.3038i) q^{66} +(-20.9207 - 32.5532i) q^{67} -11.8190i q^{68} +(58.4908 + 7.76199i) q^{69} -49.8320 q^{70} +(-83.9007 + 53.9197i) q^{71} +(2.12015 - 14.7459i) q^{72} +(-41.3614 + 90.5689i) q^{73} +(-18.2324 - 62.0939i) q^{74} +(20.3814 + 44.6290i) q^{75} +(-28.7193 + 24.8854i) q^{76} +(18.4892 + 128.595i) q^{77} +(-57.3559 - 16.8412i) q^{78} +(54.3218 + 47.0701i) q^{79} +(-25.6256 + 39.8743i) q^{80} +(-44.9055 - 28.8590i) q^{81} +(-26.1321 + 30.1580i) q^{82} +(12.2985 - 41.8848i) q^{83} +(30.1348 - 4.33273i) q^{84} +(14.0731 + 16.2412i) q^{85} +(82.2065 - 37.5424i) q^{86} +(92.4393 - 27.1426i) q^{87} +(81.7560 + 37.3367i) q^{88} +(-77.2839 - 11.1118i) q^{89} +(-7.32003 - 11.3902i) q^{90} -89.8288i q^{91} +(-28.0260 - 12.4328i) q^{92} -76.5193 q^{93} +(-6.46542 + 4.15507i) q^{94} +(9.83346 - 68.3932i) q^{95} +(21.8722 - 47.8933i) q^{96} +(-35.2790 - 120.149i) q^{97} +(29.0259 + 63.5578i) q^{98} +(-26.6772 + 23.1159i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9}+O(q^{10}) $ 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9} - 11 q^{10} - 11 q^{11} - 14 q^{12} - 11 q^{13} - 11 q^{14} + 66 q^{15} + 73 q^{16} + 44 q^{17} + 126 q^{18} + 22 q^{19} + 77 q^{20} + 22 q^{21} + 36 q^{23} - 22 q^{24} - 152 q^{25} - 186 q^{26} - 62 q^{27} - 275 q^{28} - 88 q^{29} - 363 q^{30} - 110 q^{31} - 147 q^{32} - 132 q^{33} + 231 q^{34} + 209 q^{35} + 229 q^{36} + 341 q^{37} + 374 q^{38} + 295 q^{39} + 429 q^{40} + 77 q^{41} + 319 q^{42} + 77 q^{43} + 110 q^{44} - 99 q^{46} - 110 q^{47} - 550 q^{48} - 422 q^{49} - 396 q^{50} - 275 q^{51} - 472 q^{52} - 187 q^{53} - 198 q^{54} - 165 q^{55} + 176 q^{56} - 176 q^{57} - 13 q^{58} - q^{59} + 539 q^{60} + 297 q^{61} + 82 q^{62} + 264 q^{63} + 386 q^{64} + 220 q^{65} + 264 q^{66} + 11 q^{67} - 66 q^{69} - 198 q^{70} - 176 q^{71} - 605 q^{72} - 121 q^{73} - 352 q^{74} + 154 q^{75} + 110 q^{76} + 110 q^{77} + 360 q^{78} + 33 q^{79} - 242 q^{80} + 494 q^{81} + 96 q^{82} - 154 q^{83} + 11 q^{84} + 275 q^{85} + 143 q^{86} + 271 q^{87} + 429 q^{88} + 121 q^{89} + 242 q^{90} + 166 q^{92} + 260 q^{93} - 295 q^{94} - 154 q^{95} - 419 q^{96} + 154 q^{97} + 77 q^{98} - 242 q^{99}+O(q^{100}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9 - 11 * q^10 - 11 * q^11 - 14 * q^12 - 11 * q^13 - 11 * q^14 + 66 * q^15 + 73 * q^16 + 44 * q^17 + 126 * q^18 + 22 * q^19 + 77 * q^20 + 22 * q^21 + 36 * q^23 - 22 * q^24 - 152 * q^25 - 186 * q^26 - 62 * q^27 - 275 * q^28 - 88 * q^29 - 363 * q^30 - 110 * q^31 - 147 * q^32 - 132 * q^33 + 231 * q^34 + 209 * q^35 + 229 * q^36 + 341 * q^37 + 374 * q^38 + 295 * q^39 + 429 * q^40 + 77 * q^41 + 319 * q^42 + 77 * q^43 + 110 * q^44 - 99 * q^46 - 110 * q^47 - 550 * q^48 - 422 * q^49 - 396 * q^50 - 275 * q^51 - 472 * q^52 - 187 * q^53 - 198 * q^54 - 165 * q^55 + 176 * q^56 - 176 * q^57 - 13 * q^58 - q^59 + 539 * q^60 + 297 * q^61 + 82 * q^62 + 264 * q^63 + 386 * q^64 + 220 * q^65 + 264 * q^66 + 11 * q^67 - 66 * q^69 - 198 * q^70 - 176 * q^71 - 605 * q^72 - 121 * q^73 - 352 * q^74 + 154 * q^75 + 110 * q^76 + 110 * q^77 + 360 * q^78 + 33 * q^79 - 242 * q^80 + 494 * q^81 + 96 * q^82 - 154 * q^83 + 11 * q^84 + 275 * q^85 + 143 * q^86 + 271 * q^87 + 429 * q^88 + 121 * q^89 + 242 * q^90 + 166 * q^92 + 260 * q^93 - 295 * q^94 - 154 * q^95 - 419 * q^96 + 154 * q^97 + 77 * q^98 - 242 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/23\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	−1.94274	+	1.24852i	−0.971369	+	0.624261i	−0.927122	−	0.374759i	$-0.877725\pi$
$2$	−1.94274	+	1.24852i	−0.971369	+	0.624261i	−0.0442473	+	0.999021i	$0.514089\pi$
$3$	−0.365090	+	2.53926i	−0.121697	+	0.846420i	0.833936	+	0.551861i	$0.186082\pi$
$3$	−0.365090	+	2.53926i	−0.121697	+	0.846420i	−0.955633	+	0.294559i	$0.904827\pi$
$4$	0.553766	−	1.21258i	0.138441	−	0.303144i
$5$	0.682875	+	2.32566i	0.136575	+	0.465132i	0.999169	−	0.0407654i	$-0.0129796\pi$
$5$	0.682875	+	2.32566i	0.136575	+	0.465132i	−0.862594	+	0.505897i	$0.831161\pi$
$6$	−2.46105	−	5.38894i	−0.410175	−	0.898157i
$7$	6.72814	−	5.82996i	0.961162	−	0.832852i	−0.0248217	−	0.999692i	$-0.507902\pi$
$7$	6.72814	−	5.82996i	0.961162	−	0.832852i	0.985984	+	0.166840i	$0.0533564\pi$
$8$	−0.876504	−	6.09622i	−0.109563	−	0.762027i
$9$	2.32089	+	0.681474i	0.257876	+	0.0757193i
$10$	−4.23029	−	3.66556i	−0.423029	−	0.366556i
$11$	−7.88967	+	12.2766i	−0.717243	+	1.11605i	0.270914	+	0.962604i	$0.412674\pi$
$11$	−7.88967	+	12.2766i	−0.717243	+	1.11605i	−0.988157	+	0.153448i	$0.950962\pi$
$12$	2.87688	+	1.84886i	0.239740	+	0.154071i
$13$	6.60766	−	7.62565i	0.508281	−	0.586588i	−0.442376	−	0.896830i	$-0.645864\pi$
$13$	6.60766	−	7.62565i	0.508281	−	0.586588i	0.950658	+	0.310241i	$0.100410\pi$
$14$	−5.79217	+	19.7263i	−0.413726	+	1.40902i
$15$	−6.15477	+	0.884922i	−0.410318	+	0.0589948i
$16$	12.8059	+	14.7788i	0.800369	+	0.923676i
$17$	8.06496	−	3.68314i	0.474409	−	0.216656i	−0.163837	−	0.986487i	$-0.552387\pi$
$17$	8.06496	−	3.68314i	0.474409	−	0.216656i	0.638247	+	0.769832i	$0.279660\pi$
$18$	−5.35971	+	1.57375i	−0.297762	+	0.0874307i
$19$	−25.9309	−	11.8422i	−1.36478	−	0.623276i	−0.407708	−	0.913112i	$-0.633672\pi$
$19$	−25.9309	−	11.8422i	−1.36478	−	0.623276i	−0.957076	+	0.289836i	$0.906399\pi$
$20$	3.19820	+	0.459831i	0.159910	+	0.0229916i
$21$	12.3474	+	19.2129i	0.587972	+	0.914902i
$22$		−	33.7006i		−	1.53184i
$23$	−0.249912	−	22.9986i	−0.0108658	−	0.999941i
$23$	−0.249912	−	22.9986i	−0.0108658	−	0.999941i
$24$	15.7999			0.658329
$25$	16.0890	−	10.3397i	0.643559	−	0.413590i
$26$	−3.31617	+	23.0644i	−0.127545	+	0.887094i
$27$	−12.1690	+	26.6464i	−0.450704	+	0.986905i
$28$	−3.34347	−	11.3868i	−0.119410	−	0.406672i
$29$	−15.6008	−	34.1610i	−0.537959	−	1.17797i	−0.962182	−	0.272408i	$-0.912180\pi$
$29$	−15.6008	−	34.1610i	−0.537959	−	1.17797i	0.424223	−	0.905558i	$-0.360547\pi$
$30$	10.8523	−	9.40353i	0.361742	−	0.313451i
$31$	4.24493	+	29.5242i	0.136933	+	0.952392i	0.936213	+	0.351433i	$0.114305\pi$
$31$	4.24493	+	29.5242i	0.136933	+	0.952392i	−0.799280	+	0.600959i	$0.794785\pi$
$32$	−19.6925	−	5.78224i	−0.615391	−	0.180695i
$33$	−28.2929	−	24.5160i	−0.857362	−	0.742908i
$34$	−11.0696	+	17.2247i	−0.325577	+	0.506608i
$35$	18.1530	+	11.6662i	0.518657	+	0.333320i
$36$	2.11157	−	2.43688i	0.0586546	−	0.0676911i
$37$	−7.89508	+	26.8882i	−0.213381	+	0.726708i	0.781342	+	0.624104i	$0.214536\pi$
$37$	−7.89508	+	26.8882i	−0.213381	+	0.726708i	−0.994722	+	0.102604i	$0.967283\pi$
$38$	65.1623	−	9.36892i	1.71480	−	0.246551i
$39$	16.9511	+	19.5626i	0.434644	+	0.501606i
$40$	13.5792	−	6.20141i	0.339480	−	0.155035i
$41$	16.5798	−	4.86826i	0.404385	−	0.118738i	−0.0732137	−	0.997316i	$-0.523326\pi$
$41$	16.5798	−	4.86826i	0.404385	−	0.118738i	0.477599	+	0.878578i	$0.341507\pi$
$42$	−47.9756	−	21.9097i	−1.14228	−	0.521660i
$43$	−38.7355	−	5.56933i	−0.900827	−	0.129519i	−0.323686	−	0.946164i	$-0.604922\pi$
$43$	−38.7355	−	5.56933i	−0.900827	−	0.129519i	−0.577140	+	0.816645i	$0.695831\pi$
$44$	10.5173	+	16.3652i	0.239029	+	0.371936i
$45$			5.86295i			0.130288i
$46$	29.1998	+	44.3683i	0.634779	+	0.964529i
$47$	3.32799			0.0708083			0.0354042	−	0.999373i	$-0.488728\pi$
$47$	3.32799			0.0708083			0.0354042	+	0.999373i	$0.488728\pi$
$48$	−42.2026	+	27.1219i	−0.879220	+	0.565040i
$49$	4.30592	−	29.9483i	0.0878759	−	0.611190i
$50$	−18.3472	+	40.1749i	−0.366945	+	0.803497i
$51$	6.40802	+	21.8237i	0.125647	+	0.427916i
$52$	−5.58759	−	12.2351i	−0.107454	−	0.235291i
$53$	0.249675	−	0.216345i	0.00471085	−	0.00408197i	−0.652502	−	0.757787i	$-0.726281\pi$
$53$	0.249675	−	0.216345i	0.00471085	−	0.00408197i	0.657213	+	0.753705i	$0.271735\pi$
$54$	−9.62744	−	66.9603i	−0.178286	−	1.24001i
$55$	−33.9388	−	9.96532i	−0.617069	−	0.181188i
$56$	−41.4380	−	35.9062i	−0.739964	−	0.641182i
$57$	39.5377	−	61.5218i	0.693643	−	1.07933i
$58$	72.9590	+	46.8879i	1.25791	+	0.808413i
$59$	30.0250	−	34.6507i	0.508898	−	0.587299i	−0.441918	−	0.897055i	$-0.645702\pi$
$59$	30.0250	−	34.6507i	0.508898	−	0.587299i	0.950816	+	0.309756i	$0.100247\pi$
$60$	−2.33526	+	7.95317i	−0.0389210	+	0.132553i
$61$	20.9446	−	3.01138i	0.343354	−	0.0493669i	0.0315193	−	0.999503i	$-0.489965\pi$
$61$	20.9446	−	3.01138i	0.343354	−	0.0493669i	0.311835	+	0.950136i	$0.399056\pi$
$62$	−45.1084	−	52.0578i	−0.727554	−	0.839642i
$63$	19.5882	−	8.94563i	0.310924	−	0.141994i
$64$	−29.5755	+	8.68416i	−0.462118	+	0.135690i
$65$	22.2469	+	10.1598i	0.342259	+	0.156305i
$66$	85.5746	+	12.3038i	1.29658	+	0.186421i
$67$	−20.9207	−	32.5532i	−0.312249	−	0.485869i	0.649289	−	0.760542i	$-0.275067\pi$
$67$	−20.9207	−	32.5532i	−0.312249	−	0.485869i	−0.961538	+	0.274673i	$0.911430\pi$
$68$		−	11.8190i		−	0.173809i
$69$	58.4908	+	7.76199i	0.847692	+	0.112493i
$70$	−49.8320			−0.711886
$71$	−83.9007	+	53.9197i	−1.18170	+	0.759432i	−0.975698	−	0.219119i	$-0.929682\pi$
$71$	−83.9007	+	53.9197i	−1.18170	+	0.759432i	−0.206002	+	0.978552i	$0.566045\pi$
$72$	2.12015	−	14.7459i	0.0294465	−	0.204805i
$73$	−41.3614	+	90.5689i	−0.566595	+	1.24067i	0.381996	+	0.924164i	$0.375237\pi$
$73$	−41.3614	+	90.5689i	−0.566595	+	1.24067i	−0.948591	+	0.316506i	$0.897490\pi$
$74$	−18.2324	−	62.0939i	−0.246384	−	0.839107i
$75$	20.3814	+	44.6290i	0.271752	+	0.595053i
$76$	−28.7193	+	24.8854i	−0.377885	+	0.327439i
$77$	18.4892	+	128.595i	0.240119	+	1.67006i
$78$	−57.3559	−	16.8412i	−0.735332	−	0.215913i
$79$	54.3218	+	47.0701i	0.687617	+	0.595824i	0.926982	−	0.375106i	$-0.122394\pi$
$79$	54.3218	+	47.0701i	0.687617	+	0.595824i	−0.239365	+	0.970930i	$0.576939\pi$
$80$	−25.6256	+	39.8743i	−0.320320	+	0.498428i
$81$	−44.9055	−	28.8590i	−0.554389	−	0.356284i
$82$	−26.1321	+	30.1580i	−0.318684	+	0.367780i
$83$	12.2985	−	41.8848i	0.148175	−	0.504636i	−0.851635	−	0.524135i	$-0.824389\pi$
$83$	12.2985	−	41.8848i	0.148175	−	0.504636i	0.999810	+	0.0194984i	$0.00620694\pi$
$84$	30.1348	−	4.33273i	0.358747	−	0.0515801i
$85$	14.0731	+	16.2412i	0.165566	+	0.191073i
$86$	82.2065	−	37.5424i	0.955889	−	0.436540i
$87$	92.4393	−	27.1426i	1.06252	−	0.311984i
$88$	81.7560	+	37.3367i	0.929045	+	0.424281i
$89$	−77.2839	−	11.1118i	−0.868359	−	0.124851i	−0.306287	−	0.951939i	$-0.599087\pi$
$89$	−77.2839	−	11.1118i	−0.868359	−	0.124851i	−0.562072	+	0.827088i	$0.689996\pi$
$90$	−7.32003	−	11.3902i	−0.0813337	−	0.126558i
$91$		−	89.8288i		−	0.987130i
$92$	−28.0260	−	12.4328i	−0.304631	−	0.135139i
$93$	−76.5193			−0.822788
$94$	−6.46542	+	4.15507i	−0.0687810	+	0.0442029i
$95$	9.83346	−	68.3932i	0.103510	−	0.719929i
$96$	21.8722	−	47.8933i	0.227835	−	0.498889i
$97$	−35.2790	−	120.149i	−0.363701	−	1.23865i	−0.914696	−	0.404144i	$-0.867570\pi$
$97$	−35.2790	−	120.149i	−0.363701	−	1.23865i	0.550994	−	0.834509i	$-0.314249\pi$
$98$	29.0259	+	63.5578i	0.296182	+	0.648549i
$99$	−26.6772	+	23.1159i	−0.269467	+	0.233494i
$100$	−3.62823	−	25.2349i	−0.0362823	−	0.252349i
$101$	156.291	+	45.8911i	1.54743	+	0.454367i	0.940332	−	0.340258i	$-0.110514\pi$
$101$	156.291	+	45.8911i	1.54743	+	0.454367i	0.607101	+	0.794625i	$0.292332\pi$
$102$	−39.6965	−	34.3972i	−0.389181	−	0.337228i
$103$	48.4684	−	75.4184i	0.470567	−	0.732217i	−0.522128	−	0.852867i	$-0.674862\pi$
$103$	48.4684	−	75.4184i	0.470567	−	0.732217i	0.992695	+	0.120650i	$0.0384979\pi$
$104$	−52.2792	−	33.5978i	−0.502685	−	0.323056i
$105$	−36.2510	+	41.8359i	−0.345248	+	0.398437i
$106$	−0.214942	+	0.732026i	−0.00202776	+	0.00690591i
$107$	−91.9063	+	13.2141i	−0.858938	+	0.123497i	−0.557690	−	0.830049i	$-0.688312\pi$
$107$	−91.9063	+	13.2141i	−0.858938	+	0.123497i	−0.301248	+	0.953546i	$0.597403\pi$
$108$	25.5721	+	29.5118i	0.236779	+	0.273257i
$109$	−174.514	+	79.6980i	−1.60105	+	0.731174i	−0.997795	−	0.0663749i	$-0.978857\pi$
$109$	−174.514	+	79.6980i	−1.60105	+	0.731174i	−0.603254	+	0.797549i	$0.706129\pi$
$110$	78.3761	−	23.0133i	0.712510	−	0.209212i
$111$	−65.3937	−	29.8643i	−0.589132	−	0.269048i
$112$	172.320	+	24.7758i	1.53857	+	0.221213i
$113$	−24.3289	−	37.8565i	−0.215300	−	0.335013i	0.716758	−	0.697322i	$-0.245625\pi$
$113$	−24.3289	−	37.8565i	−0.215300	−	0.335013i	−0.932058	+	0.362308i	$0.881989\pi$
$114$			168.884i			1.48144i
$115$	53.3164	−	16.2864i	0.463620	−	0.141621i
$116$	−50.0620			−0.431569
$117$	20.5323	−	13.1953i	0.175490	−	0.112780i
$118$	−15.0685	+	104.804i	−0.127699	+	0.888169i
$119$	32.7896	−	71.7991i	0.275542	−	0.603354i
$120$	10.7894	+	36.7452i	0.0899113	+	0.306210i
$121$	−38.2020	−	83.6506i	−0.315719	−	0.691327i
$122$	−36.9301	+	32.0002i	−0.302706	+	0.262296i
$123$	6.30867	+	43.8777i	0.0512900	+	0.356730i
$124$	38.1510	+	11.2022i	0.307670	+	0.0903399i
$125$	80.8289	+	70.0387i	0.646631	+	0.560309i
$126$	−26.8859	+	41.8353i	−0.213381	+	0.332027i
$127$	−23.3586	−	15.0117i	−0.183926	−	0.118202i	0.445438	−	0.895313i	$-0.353048\pi$
$127$	−23.3586	−	15.0117i	−0.183926	−	0.118202i	−0.629364	+	0.777111i	$0.716684\pi$
$128$	100.376	−	115.840i	0.784190	−	0.905003i
$129$	28.2840	−	96.3263i	0.219255	−	0.746716i
$130$	−55.9046	+	8.03786i	−0.430035	+	0.0618297i
$131$	57.5254	+	66.3878i	0.439125	+	0.506777i	0.931568	−	0.363568i	$-0.118441\pi$
$131$	57.5254	+	66.3878i	0.439125	+	0.506777i	−0.492443	+	0.870345i	$0.663896\pi$
$132$	−45.3952	+	20.7313i	−0.343903	+	0.157055i
$133$	−243.506	+	71.4999i	−1.83088	+	0.537594i
$134$	81.2868	+	37.1225i	0.606618	+	0.277033i
$135$	−70.2804	−	10.1048i	−0.520596	−	0.0748504i
$136$	−29.5222	−	45.9375i	−0.217075	−	0.337775i
$137$			63.4118i			0.462860i	0.972852	+	0.231430i	$0.0743404\pi$
$137$			63.4118i			0.462860i	−0.972852	+	0.231430i	$0.925660\pi$
$138$	−123.323	+	57.9475i	−0.893647	+	0.419910i
$139$	207.346			1.49170			0.745850	−	0.666114i	$-0.232044\pi$
$139$	207.346			1.49170			0.745850	+	0.666114i	$0.232044\pi$
$140$	24.1987	−	15.5516i	0.172848	−	0.111083i
$141$	−1.21502	+	8.45064i	−0.00861715	+	0.0599336i
$142$	95.6772	−	209.504i	0.673783	−	1.47538i
$143$	41.4845	+	141.283i	0.290101	+	0.987994i
$144$	19.6497	+	43.0268i	0.136456	+	0.298797i
$145$	68.7934	−	59.6098i	0.474437	−	0.411102i
$146$	−32.7228	−	227.592i	−0.224129	−	1.55885i
$147$	74.4745	+	21.8677i	0.506629	+	0.148760i
$148$	28.2320	+	24.4632i	0.190757	+	0.165292i
$149$	−45.3675	+	70.5932i	−0.304480	+	0.473780i	−0.959452	−	0.281873i	$-0.909044\pi$
$149$	−45.3675	+	70.5932i	−0.304480	+	0.473780i	0.654972	+	0.755653i	$0.272681\pi$
$150$	−95.3160	−	61.2559i	−0.635440	−	0.408373i
$151$	−48.2315	+	55.6621i	−0.319414	+	0.368623i	−0.892637	−	0.450776i	$-0.851147\pi$
$151$	−48.2315	+	55.6621i	−0.319414	+	0.368623i	0.573223	+	0.819399i	$0.305693\pi$
$152$	−49.4644	+	168.460i	−0.325424	+	1.10829i
$153$	21.2278	−	3.05210i	0.138744	−	0.0199484i
$154$	−196.473	−	226.742i	−1.27580	−	1.47235i
$155$	−65.7644	+	30.0336i	−0.424286	+	0.193765i
$156$	33.1081	−	9.72142i	0.212232	−	0.0623168i
$157$	142.271	+	64.9730i	0.906184	+	0.413840i	0.813305	−	0.581837i	$-0.197666\pi$
$157$	142.271	+	64.9730i	0.906184	+	0.413840i	0.0928788	+	0.995677i	$0.470393\pi$
$158$	−164.301	−	23.6229i	−1.03988	−	0.149512i
$159$	0.458201	+	0.712975i	0.00288177	+	0.00448412i
$160$		−	49.7466i		−	0.310916i
$161$	−135.763	−	153.281i	−0.843246	−	0.952056i
$162$	123.271			0.760931
$163$	221.732	−	142.498i	1.36032	−	0.874223i	0.361998	−	0.932179i	$-0.382095\pi$
$163$	221.732	−	142.498i	1.36032	−	0.874223i	0.998319	+	0.0579560i	$0.0184583\pi$
$164$	3.27817	−	22.8002i	0.0199888	−	0.139025i
$165$	37.6953	−	82.5411i	0.228456	−	0.500249i
$166$	28.4014	+	96.7262i	0.171093	+	0.582688i
$167$	21.7164	+	47.5524i	0.130039	+	0.284745i	0.963440	−	0.267923i	$-0.0863372\pi$
$167$	21.7164	+	47.5524i	0.130039	+	0.284745i	−0.833402	+	0.552668i	$0.813610\pi$
$168$	106.304	−	92.1128i	0.632761	−	0.548290i
$169$	9.56190	+	66.5045i	0.0565793	+	0.393518i
$170$	−47.6179	−	13.9819i	−0.280105	−	0.0822463i
$171$	−52.1125	−	45.1557i	−0.304751	−	0.264069i
$172$	−28.2037	+	43.8858i	−0.163975	+	0.255150i
$173$	76.5353	+	49.1862i	0.442400	+	0.284313i	0.742817	−	0.669495i	$-0.233489\pi$
$173$	76.5353	+	49.1862i	0.442400	+	0.284313i	−0.300416	+	0.953808i	$0.597126\pi$
$174$	−145.697	+	168.144i	−0.837341	+	0.966343i
$175$	47.9684	−	163.365i	0.274105	−	0.933516i
$176$	−282.467	+	40.6127i	−1.60493	+	0.230754i
$177$	77.0252	+	88.8918i	0.435171	+	0.502214i
$178$	164.016	−	74.9035i	0.921437	−	0.420806i
$179$	112.077	−	32.9089i	0.626130	−	0.183848i	0.0467511	−	0.998907i	$-0.485113\pi$
$179$	112.077	−	32.9089i	0.626130	−	0.183848i	0.579379	+	0.815058i	$0.303295\pi$
$180$	7.10929	+	3.24670i	0.0394960	+	0.0180372i
$181$	−5.87943	−	0.845334i	−0.0324830	−	0.00467036i	0.126054	−	0.992023i	$-0.459769\pi$
$181$	−5.87943	−	0.845334i	−0.0324830	−	0.00467036i	−0.158537	+	0.987353i	$0.550678\pi$
$182$	112.153	+	174.514i	0.616227	+	0.958867i
$183$			54.2833i			0.296630i
$184$	−139.986	+	21.6819i	−0.760792	+	0.117837i
$185$	−67.9241			−0.367157
$186$	148.657	−	95.5361i	0.799231	−	0.513635i
$187$	−18.4135	+	128.069i	−0.0984680	+	0.684860i
$188$	1.84293	−	4.03545i	0.00980281	−	0.0214652i
$189$	73.4729	+	250.226i	0.388746	+	1.32395i
$190$	66.2866	+	145.147i	0.348877	+	0.763934i
$191$	−133.311	+	115.515i	−0.697965	+	0.604790i	−0.929844	−	0.367955i	$-0.880058\pi$
$191$	−133.311	+	115.515i	−0.697965	+	0.604790i	0.231879	+	0.972745i	$0.425513\pi$
$192$	−11.2536	−	78.2705i	−0.0586125	−	0.407659i
$193$	−308.703	−	90.6434i	−1.59950	−	0.469655i	−0.644092	−	0.764948i	$-0.722765\pi$
$193$	−308.703	−	90.6434i	−1.59950	−	0.469655i	−0.955407	+	0.295293i	$0.904583\pi$
$194$	218.547	+	189.372i	1.12653	+	0.976145i
$195$	−33.9205	+	52.7813i	−0.173951	+	0.270673i
$196$	−33.9302	−	21.8056i	−0.173113	−	0.111253i
$197$	−24.6882	+	28.4917i	−0.125321	+	0.144628i	−0.814942	−	0.579542i	$-0.803231\pi$
$197$	−24.6882	+	28.4917i	−0.125321	+	0.144628i	0.689622	+	0.724170i	$0.257777\pi$
$198$	22.9661	−	78.2152i	0.115990	−	0.395026i
$199$	−74.6410	+	10.7318i	−0.375080	+	0.0539284i	−0.327277	−	0.944928i	$-0.606131\pi$
$199$	−74.6410	+	10.7318i	−0.375080	+	0.0539284i	−0.0478032	+	0.998857i	$0.515222\pi$
$200$	−77.1354	−	89.0190i	−0.385677	−	0.445095i
$201$	90.2990	−	41.2382i	0.449249	−	0.205165i
$202$	−360.928	+	105.978i	−1.78677	+	0.524644i
$203$	−304.122	−	138.888i	−1.49814	−	0.684176i
$204$	30.0115	+	4.31500i	0.147115	+	0.0211520i
$205$	22.6438	+	35.2345i	0.110458	+	0.171876i
$206$			207.032i			1.00501i
$207$	15.0930	−	53.5475i	0.0729128	−	0.258684i
$208$	197.315			0.948630
$209$	349.968	−	224.911i	1.67449	−	1.07613i
$210$	18.1932	−	126.537i	0.0866343	−	0.602555i
$211$	27.2665	−	59.7054i	0.129225	−	0.282964i	−0.833949	−	0.551841i	$-0.813925\pi$
$211$	27.2665	−	59.7054i	0.129225	−	0.282964i	0.963174	+	0.268878i	$0.0866527\pi$
$212$	−0.124073	−	0.422555i	−0.000585251	−	0.00199318i
$213$	−106.285	−	232.731i	−0.498990	−	1.09263i
$214$	162.052	−	140.419i	0.757252	−	0.656162i
$215$	−13.4992	−	93.8888i	−0.0627869	−	0.436692i
$216$	173.109	+	50.8293i	0.801429	+	0.235321i
$217$	200.685	+	173.895i	0.924817	+	0.801358i
$218$	239.531	−	372.717i	1.09877	−	1.70971i
$219$	−214.877	−	138.093i	−0.981175	−	0.630563i
$220$	−30.8779	+	35.6349i	−0.140354	+	0.161977i
$221$	25.2042	−	85.8375i	0.114046	−	0.388405i
$222$	164.329	−	23.6269i	0.740221	−	0.106428i
$223$	138.406	+	159.729i	0.620654	+	0.716272i	0.975831	−	0.218526i	$-0.0701250\pi$
$223$	138.406	+	159.729i	0.620654	+	0.716272i	−0.355177	+	0.934799i	$0.615580\pi$
$224$	−166.204	+	75.9028i	−0.741982	+	0.338852i
$225$	44.3869	−	13.0332i	0.197275	−	0.0579252i
$226$	94.5294	+	43.1701i	0.418272	+	0.191018i
$227$	−102.876	−	14.7913i	−0.453197	−	0.0651599i	−0.0880631	−	0.996115i	$-0.528068\pi$
$227$	−102.876	−	14.7913i	−0.453197	−	0.0651599i	−0.365134	+	0.930955i	$0.618977\pi$
$228$	−52.7054	−	82.0111i	−0.231164	−	0.359698i
$229$		−	246.045i		−	1.07443i	−0.843445	−	0.537216i	$-0.819476\pi$
$229$		−	246.045i		−	1.07443i	0.843445	−	0.537216i	$-0.180524\pi$
$230$	−83.2458	+	98.2069i	−0.361938	+	0.426987i
$231$	−333.286			−1.44280
$232$	−194.579	+	125.048i	−0.838701	+	0.539001i
$233$	17.2479	−	119.962i	0.0740253	−	0.514857i	−0.918747	−	0.394846i	$-0.870798\pi$
$233$	17.2479	−	119.962i	0.0740253	−	0.514857i	0.992773	−	0.120011i	$-0.0382930\pi$
$234$	−23.4143	+	51.2701i	−0.100061	+	0.219103i
$235$	2.27260	+	7.73978i	0.00967065	+	0.0329352i
$236$	−25.3898	−	55.5959i	−0.107584	−	0.235576i
$237$	−139.356	+	120.752i	−0.587998	+	0.509503i
$238$	25.9413	+	180.425i	0.108997	+	0.758090i
$239$	169.878	+	49.8806i	0.710785	+	0.208705i	0.617087	−	0.786895i	$-0.288313\pi$
$239$	169.878	+	49.8806i	0.710785	+	0.208705i	0.0936987	+	0.995601i	$0.470131\pi$
$240$	−91.8955	−	79.6279i	−0.382898	−	0.331783i
$241$	−102.121	+	158.904i	−0.423741	+	0.659353i	−0.985835	−	0.167720i	$-0.946360\pi$
$241$	−102.121	+	158.904i	−0.423741	+	0.659353i	0.562094	+	0.827073i	$0.309996\pi$
$242$	178.656	+	114.815i	0.738248	+	0.474443i
$243$	−82.9742	+	95.7573i	−0.341458	+	0.394063i
$244$	7.94688	−	27.0646i	0.0325692	−	0.110920i
$245$	72.5900	−	10.4369i	0.296286	−	0.0425994i
$246$	−67.0384	−	77.3665i	−0.272514	−	0.314498i
$247$	−261.647	+	119.490i	−1.05930	+	0.483766i
$248$	176.265	−	51.7561i	0.710746	−	0.208694i
$249$	101.866	+	46.5208i	0.409102	+	0.186831i
$250$	−244.474	−	35.1501i	−0.977897	−	0.140600i
$251$	97.9838	+	152.466i	0.390374	+	0.607433i	0.979702	−	0.200461i	$-0.0642439\pi$
$251$	97.9838	+	152.466i	0.390374	+	0.607433i	−0.589328	+	0.807894i	$0.700607\pi$
$252$		−	28.7060i		−	0.113913i
$253$	284.316	+	178.384i	1.12378	+	0.705074i
$254$	64.1221			0.252449
$255$	−46.3786	+	29.8057i	−0.181877	+	0.116885i
$256$	−32.8286	+	228.328i	−0.128237	+	0.891906i
$257$	0.347714	−	0.761388i	0.00135297	−	0.00296260i	−0.908954	−	0.416896i	$-0.863118\pi$
$257$	0.347714	−	0.761388i	0.00135297	−	0.00296260i	0.910307	+	0.413933i	$0.135845\pi$
$258$	65.3172	+	222.450i	0.253168	+	0.862209i
$259$	103.638	+	226.935i	0.400146	+	0.876198i
$260$	24.6391	−	21.3499i	0.0947658	−	0.0821150i
$261$	−12.9279	−	89.9153i	−0.0495321	−	0.344503i
$262$	−194.643	−	57.1525i	−0.742914	−	0.218139i
$263$	−212.690	−	184.297i	−0.808708	−	0.700750i	0.148891	−	0.988854i	$-0.452430\pi$
$263$	−212.690	−	184.297i	−0.808708	−	0.700750i	−0.957599	+	0.288104i	$0.906975\pi$
$264$	−124.656	+	193.968i	−0.472181	+	0.734729i
$265$	0.673641	+	0.432923i	0.00254204	+	0.00163367i
$266$	383.800	−	442.929i	1.44286	−	1.66515i
$267$	56.4313	−	192.187i	0.211353	−	0.719802i
$268$	−51.0585	+	7.34110i	−0.190517	+	0.0273922i
$269$	−113.292	−	130.746i	−0.421160	−	0.486045i	0.505030	−	0.863102i	$-0.331482\pi$
$269$	−113.292	−	130.746i	−0.421160	−	0.486045i	−0.926190	+	0.377057i	$0.876936\pi$
$270$	149.153	−	68.1157i	0.552417	−	0.252280i
$271$	197.033	−	57.8541i	0.727058	−	0.213484i	0.102801	−	0.994702i	$-0.467220\pi$
$271$	197.033	−	57.8541i	0.727058	−	0.213484i	0.624258	+	0.781218i	$0.285401\pi$
$272$	157.712	+	72.0245i	0.579822	+	0.264796i
$273$	228.099	+	32.7956i	0.835526	+	0.120131i
$274$	−79.1711	−	123.193i	−0.288945	−	0.449608i
$275$			279.094i			1.01489i
$276$	41.8022	−	66.6263i	0.151457	−	0.241400i
$277$	−19.7616			−0.0713414			−0.0356707	−	0.999364i	$-0.511357\pi$
$277$	−19.7616			−0.0713414			−0.0356707	+	0.999364i	$0.511357\pi$
$278$	−402.820	+	258.877i	−1.44899	+	0.931210i
$279$	−10.2679	+	71.4150i	−0.0368026	+	0.255968i
$280$	55.2086	−	120.890i	0.197174	−	0.431750i
$281$	−140.662	−	479.049i	−0.500575	−	1.70480i	−0.690787	−	0.723058i	$-0.742736\pi$
$281$	−140.662	−	479.049i	−0.500575	−	1.70480i	0.190212	−	0.981743i	$-0.439082\pi$
$282$	−8.19035	−	17.9344i	−0.0290438	−	0.0635970i
$283$	−144.402	+	125.125i	−0.510254	+	0.442138i	−0.871545	−	0.490315i	$-0.836882\pi$
$283$	−144.402	+	125.125i	−0.510254	+	0.442138i	0.361291	+	0.932453i	$0.382336\pi$
$284$	18.9205	+	131.595i	0.0666215	+	0.463363i
$285$	170.078	+	49.9394i	0.596765	+	0.175226i
$286$	−256.989	−	222.682i	−0.898562	−	0.778608i
$287$	83.1692	−	129.414i	0.289788	−	0.450919i
$288$	−41.7636	−	26.8398i	−0.145013	−	0.0931939i
$289$	−137.777	+	159.003i	−0.476736	+	0.550183i
$290$	−59.2234	+	201.696i	−0.204219	+	0.695505i
$291$	317.970	−	45.7172i	1.09268	−	0.157104i
$292$	86.9173	+	100.308i	0.297662	+	0.343520i
$293$	168.666	−	77.0271i	0.575651	−	0.262891i	−0.106245	−	0.994340i	$-0.533883\pi$
$293$	168.666	−	77.0271i	0.575651	−	0.262891i	0.681896	+	0.731449i	$0.261156\pi$
$294$	−171.987	+	50.4999i	−0.584989	+	0.171768i
$295$	101.089	+	46.1658i	0.342674	+	0.156494i
$296$	170.836	+	24.5626i	0.577150	+	0.0829816i
$297$	−231.117	−	359.625i	−0.778172	−	1.21086i
$298$		−	193.787i		−	0.650290i
$299$	−177.031	−	150.061i	−0.592076	−	0.501878i
$300$	65.4027			0.218009
$301$	−293.087	+	188.356i	−0.973711	+	0.625766i
$302$	24.2058	−	168.355i	0.0801517	−	0.557467i
$303$	−173.590	+	380.108i	−0.572903	+	1.25448i
$304$	−157.055	−	534.879i	−0.516627	−	1.75947i
$305$	21.3060	+	46.6537i	0.0698558	+	0.152963i
$306$	−37.4295	+	32.4328i	−0.122319	+	0.105990i
$307$	−19.6689	−	136.800i	−0.0640680	−	0.445603i	−0.996454	−	0.0841389i	$-0.973186\pi$
$307$	−19.6689	−	136.800i	−0.0640680	−	0.445603i	0.932386	−	0.361464i	$-0.117723\pi$
$308$	166.170	+	48.7919i	0.539513	+	0.158415i
$309$	173.812	+	150.609i	0.562497	+	0.487406i
$310$	90.2654	−	140.456i	0.291179	−	0.453083i
$311$	227.767	+	146.377i	0.732369	+	0.470665i	0.852920	−	0.522042i	$-0.174830\pi$
$311$	227.767	+	146.377i	0.732369	+	0.470665i	−0.120550	+	0.992707i	$0.538466\pi$
$312$	104.400	−	120.484i	0.334616	−	0.386168i
$313$	−105.562	+	359.511i	−0.337259	+	1.14860i	0.600011	+	0.799992i	$0.295163\pi$
$313$	−105.562	+	359.511i	−0.337259	+	1.14860i	−0.937269	+	0.348606i	$0.886655\pi$
$314$	−357.515	+	51.4030i	−1.13858	+	0.163704i
$315$	34.1808	+	39.4467i	0.108510	+	0.125228i
$316$	87.1577	−	39.8036i	0.275815	−	0.125961i
$317$	107.567	−	31.5846i	0.339328	−	0.0996358i	−0.107629	−	0.994191i	$-0.534326\pi$
$317$	107.567	−	31.5846i	0.339328	−	0.0996358i	0.446957	+	0.894555i	$0.352508\pi$
$318$	−1.78033	−	0.813050i	−0.00559853	−	0.00255676i
$319$	542.465	+	77.9947i	1.70052	+	0.244497i
$320$	−40.3928	−	62.8524i	−0.126228	−	0.196414i
$321$		−	238.198i		−	0.742051i
$322$	455.126	+	128.282i	1.41344	+	0.398392i
$323$	−252.748			−0.782503
$324$	−59.8609	+	38.4703i	−0.184756	+	0.118735i
$325$	27.4631	−	191.010i	0.0845019	−	0.587724i
$326$	−252.854	+	553.674i	−0.775627	+	1.69839i
$327$	−138.660	−	472.234i	−0.424038	−	1.44414i
$328$	−44.2102	−	96.8069i	−0.134787	−	0.295143i
$329$	22.3912	−	19.4021i	0.0680583	−	0.0589728i
$330$	29.8224	+	207.419i	0.0903708	+	0.628543i
$331$	−42.1405	−	12.3736i	−0.127313	−	0.0373824i	0.217455	−	0.976070i	$-0.430224\pi$
$331$	−42.1405	−	12.3736i	−0.127313	−	0.0373824i	−0.344768	+	0.938688i	$0.612042\pi$
$332$	−43.9781	−	38.1073i	−0.132464	−	0.114781i
$333$	−36.6472	+	57.0241i	−0.110052	+	0.171244i
$334$	−101.560	−	65.2684i	−0.304071	−	0.195414i
$335$	61.4215	−	70.8842i	0.183348	−	0.211595i
$336$	−125.825	+	428.519i	−0.374478	+	1.27536i
$337$	283.828	−	40.8084i	0.842221	−	0.121093i	0.292317	−	0.956321i	$-0.405574\pi$
$337$	283.828	−	40.8084i	0.842221	−	0.121093i	0.549903	+	0.835228i	$0.314665\pi$
$338$	−101.609	−	117.263i	−0.300617	−	0.346931i
$339$	105.010	−	47.9564i	0.309763	−	0.141464i
$340$	27.4869	−	8.07089i	0.0808439	−	0.0237379i
$341$	−395.946	−	180.823i	−1.16113	−	0.530272i
$342$	157.619	+	22.6622i	0.460874	+	0.0662637i
$343$	90.2156	+	140.378i	0.263019	+	0.409266i
$344$			241.022i			0.700645i
$345$	21.8901	+	141.330i	0.0634497	+	0.409652i
$346$	−210.098			−0.607220
$347$	−396.957	+	255.109i	−1.14397	+	0.735185i	−0.968429	−	0.249288i	$-0.919804\pi$
$347$	−396.957	+	255.109i	−1.14397	+	0.735185i	−0.175540	+	0.984472i	$0.556167\pi$
$348$	18.2772	−	127.121i	0.0525206	−	0.365289i
$349$	186.277	−	407.891i	0.533746	−	1.16874i	−0.430222	−	0.902723i	$-0.641565\pi$
$349$	186.277	−	407.891i	0.533746	−	1.16874i	0.963968	−	0.266018i	$-0.0857082\pi$
$350$	110.775	+	377.266i	0.316501	+	1.07790i
$351$	122.788	+	268.867i	0.349822	+	0.766003i
$352$	226.353	−	196.136i	0.643049	−	0.557205i
$353$	90.5751	+	629.963i	0.256587	+	1.78460i	0.556719	+	0.830701i	$0.312060\pi$
$353$	90.5751	+	629.963i	0.256587	+	1.78460i	−0.300132	+	0.953898i	$0.597031\pi$
$354$	−260.623	−	76.5259i	−0.736224	−	0.216175i
$355$	−182.693	−	158.304i	−0.514627	−	0.445927i
$356$	−56.2711	+	87.5595i	−0.158065	+	0.245954i
$357$	170.345	+	109.474i	0.477158	+	0.306651i
$358$	−176.650	+	203.864i	−0.493434	+	0.569454i
$359$	−24.5926	+	83.7547i	−0.0685030	+	0.233300i	−0.986627	−	0.162993i	$-0.947885\pi$
$359$	−24.5926	+	83.7547i	−0.0685030	+	0.233300i	0.918124	+	0.396293i	$0.129703\pi$
$360$	35.7418	−	5.13890i	0.0992829	−	0.0142747i
$361$	295.768	+	341.335i	0.819302	+	0.945525i
$362$	12.4776	−	5.69834i	0.0344686	−	0.0157413i
$363$	226.358	−	66.4647i	0.623575	−	0.183098i
$364$	−108.924	−	49.7441i	−0.299243	−	0.136660i
$365$	−238.877	−	34.3453i	−0.654458	−	0.0940968i
$366$	−67.7739	−	105.458i	−0.185174	−	0.288137i
$367$		−	363.178i		−	0.989586i	−0.869011	−	0.494793i	$-0.835244\pi$
$367$		−	363.178i		−	0.989586i	0.869011	−	0.494793i	$-0.164756\pi$
$368$	336.692	−	298.212i	0.914924	−	0.810359i
$369$	41.7974			0.113272
$370$	131.959	−	84.8048i	0.356645	−	0.229202i
$371$	0.418566	−	2.91119i	0.00112821	−	0.00784688i
$372$	−42.3738	+	92.7856i	−0.113908	+	0.249424i
$373$	−31.1537	−	106.100i	−0.0835220	−	0.284450i	0.907132	−	0.420845i	$-0.138266\pi$
$373$	−31.1537	−	106.100i	−0.0835220	−	0.284450i	−0.990654	+	0.136395i	$0.956448\pi$
$374$	−124.124	−	271.794i	−0.331883	−	0.726722i
$375$	−207.356	+	179.675i	−0.552950	+	0.479134i
$376$	−2.91700	−	20.2882i	−0.00775797	−	0.0539579i
$377$	−363.584	−	106.758i	−0.964415	−	0.283178i
$378$	−455.151	−	394.391i	−1.20410	−	1.04336i
$379$	76.3725	−	118.838i	0.201510	−	0.313556i	−0.725760	−	0.687948i	$-0.758512\pi$
$379$	76.3725	−	118.838i	0.201510	−	0.313556i	0.927271	+	0.374391i	$0.122148\pi$
$380$	−77.4867	−	49.7976i	−0.203912	−	0.131046i
$381$	46.6466	−	53.8330i	0.122432	−	0.141294i
$382$	114.766	−	390.857i	0.300435	−	1.02319i
$383$	341.162	−	49.0517i	0.890762	−	0.128072i	0.318287	−	0.947994i	$-0.396892\pi$
$383$	341.162	−	49.0517i	0.890762	−	0.128072i	0.572475	+	0.819922i	$0.305983\pi$
$384$	257.502	+	297.174i	0.670579	+	0.773890i
$385$	−286.442	+	130.814i	−0.744005	+	0.339776i
$386$	712.900	−	209.326i	1.84689	−	0.542296i
$387$	−86.1055	−	39.3230i	−0.222495	−	0.101610i
$388$	−165.227	−	23.7560i	−0.425842	−	0.0612268i
$389$	220.904	+	343.733i	0.567875	+	0.883631i	0.999833	−	0.0182624i	$-0.00581342\pi$
$389$	220.904	+	343.733i	0.567875	+	0.883631i	−0.431958	+	0.901894i	$0.642177\pi$
$390$		−	144.891i		−	0.371515i
$391$	−86.7228	−	184.563i	−0.221798	−	0.472027i
$392$	−186.346			−0.475371
$393$	−189.578	+	121.834i	−0.482386	+	0.310011i
$394$	12.3902	−	86.1757i	0.0314472	−	0.218720i
$395$	−72.3740	+	158.477i	−0.183225	+	0.401207i
$396$	13.2569	+	45.1490i	0.0334771	+	0.114013i
$397$	−263.314	−	576.578i	−0.663260	−	1.45234i	−0.879453	−	0.475986i	$-0.842091\pi$
$397$	−263.314	−	576.578i	−0.663260	−	1.45234i	0.216193	−	0.976351i	$-0.430636\pi$
$398$	131.609	−	114.040i	0.330676	−	0.286533i
$399$	−92.6551	−	644.430i	−0.232218	−	1.61511i
$400$	358.843	+	105.366i	0.897108	+	0.263415i
$401$	391.718	+	339.425i	0.976852	+	0.846447i	0.988150	−	0.153489i	$-0.0490509\pi$
$401$	391.718	+	339.425i	0.976852	+	0.846447i	−0.0112980	+	0.999936i	$0.503596\pi$
$402$	−123.941	+	192.855i	−0.308310	+	0.479740i
$403$	253.190	+	162.715i	0.628263	+	0.403760i
$404$	142.195	−	164.102i	0.351968	−	0.406192i
$405$	36.4514	−	124.142i	0.0900034	−	0.306523i
$406$	764.233	−	109.880i	1.88235	−	0.270641i
$407$	−267.805	−	309.063i	−0.657997	−	0.759370i
$408$	127.425	−	58.1933i	0.312317	−	0.142631i
$409$	−675.632	+	198.384i	−1.65191	+	0.485045i	−0.969330	−	0.245763i	$-0.920961\pi$
$409$	−675.632	+	198.384i	−1.65191	+	0.485045i	−0.682583	+	0.730808i	$0.739143\pi$
$410$	−87.9822	−	40.1801i	−0.214591	−	0.0980003i
$411$	−161.019	−	23.1510i	−0.391774	−	0.0563286i
$412$	−64.6105	−	100.536i	−0.156822	−	0.244019i
$413$		−	408.179i		−	0.988326i
$414$	37.5336	+	122.873i	0.0906610	+	0.296794i
$415$	105.808			0.254959
$416$	−174.215	+	111.961i	−0.418785	+	0.269137i
$417$	−75.7002	+	526.506i	−0.181535	+	1.26260i
$418$	−399.091	+	873.887i	−0.954762	+	2.09064i
$419$	135.610	+	461.846i	0.323652	+	1.10226i	0.947246	+	0.320508i	$0.103854\pi$
$419$	135.610	+	461.846i	0.323652	+	1.10226i	−0.623594	+	0.781749i	$0.714328\pi$
$420$	30.6547	+	67.1245i	0.0729875	+	0.159820i
$421$	−63.9329	+	55.3982i	−0.151860	+	0.131587i	−0.727477	−	0.686132i	$-0.759307\pi$
$421$	−63.9329	+	55.3982i	−0.151860	+	0.131587i	0.575617	+	0.817719i	$0.304762\pi$
$422$	21.5717	+	150.035i	0.0511179	+	0.355533i
$423$	7.72389	+	2.26794i	0.0182598	+	0.00536156i
$424$	−1.53773	−	1.33245i	−0.00362671	−	0.00314256i
$425$	91.6741	−	142.648i	0.215704	−	0.335641i
$426$	497.054	+	319.437i	1.16679	+	0.749852i
$427$	123.362	−	142.367i	0.288904	−	0.333413i
$428$	−34.8714	+	118.761i	−0.0814753	+	0.277479i
$429$	−373.900	+	53.7588i	−0.871563	+	0.125312i
$430$	143.448	+	165.547i	0.333599	+	0.384994i
$431$	242.375	−	110.689i	0.562354	−	0.256819i	−0.113893	−	0.993493i	$-0.536332\pi$
$431$	242.375	−	110.689i	0.562354	−	0.256819i	0.676248	+	0.736674i	$0.263605\pi$
$432$	−549.638	+	161.388i	−1.27231	+	0.373584i
$433$	−227.267	−	103.790i	−0.524867	−	0.239699i	0.135317	−	0.990802i	$-0.456795\pi$
$433$	−227.267	−	103.790i	−0.524867	−	0.239699i	−0.660184	+	0.751104i	$0.729522\pi$
$434$	−606.990	−	87.2720i	−1.39860	−	0.201088i
$435$	126.249	+	196.447i	0.290228	+	0.451603i
$436$			255.746i			0.586574i
$437$	−265.875	+	599.335i	−0.608410	+	1.37148i
$438$	589.863			1.34672
$439$	518.304	−	333.094i	1.18065	−	0.758756i	0.205142	−	0.978732i	$-0.434234\pi$
$439$	518.304	−	333.094i	1.18065	−	0.758756i	0.975505	+	0.219977i	$0.0705981\pi$
$440$	−31.0033	+	215.633i	−0.0704621	+	0.490075i
$441$	30.4025	−	66.5723i	0.0689400	−	0.150958i
$442$	58.2049	+	198.228i	0.131685	+	0.448479i
$443$	−241.637	−	529.111i	−0.545455	−	1.19438i	−0.958872	−	0.283839i	$-0.908392\pi$
$443$	−241.637	−	529.111i	−0.545455	−	1.19438i	0.413417	−	0.910542i	$-0.364335\pi$
$444$	−72.4255	+	62.7571i	−0.163121	+	0.141345i
$445$	−26.9331	−	187.324i	−0.0605239	−	0.420953i
$446$	−468.311	−	137.509i	−1.05002	−	0.308315i
$447$	−162.691	−	140.973i	−0.363963	−	0.315375i
$448$	−148.360	+	230.853i	−0.331161	+	0.515296i
$449$	24.9163	+	16.0127i	0.0554929	+	0.0356631i	0.568093	−	0.822964i	$-0.307681\pi$
$449$	24.9163	+	16.0127i	0.0554929	+	0.0356631i	−0.512600	+	0.858627i	$0.671318\pi$
$450$	−69.9600	+	80.7381i	−0.155467	+	0.179418i
$451$	−71.0435	+	241.952i	−0.157524	+	0.536478i
$452$	−59.3765	+	8.53705i	−0.131364	+	0.0188873i
$453$	−123.732	−	142.794i	−0.273138	−	0.315219i
$454$	218.328	−	99.7070i	0.480899	−	0.219619i
$455$	208.911	−	61.3419i	0.459145	−	0.134817i
$456$	−409.705	−	187.106i	−0.898476	−	0.410320i
$457$	180.277	+	25.9199i	0.394478	+	0.0567174i	0.336700	−	0.941612i	$-0.390689\pi$
$457$	180.277	+	25.9199i	0.394478	+	0.0567174i	0.0577784	+	0.998329i	$0.481598\pi$
$458$	307.193	+	478.001i	0.670726	+	1.04367i
$459$			259.723i			0.565845i
$460$	9.77622	−	73.6691i	0.0212527	−	0.160150i
$461$	285.862			0.620090			0.310045	−	0.950722i	$-0.399656\pi$
$461$	285.862			0.620090			0.310045	+	0.950722i	$0.399656\pi$
$462$	647.488	−	416.115i	1.40149	−	0.900682i
$463$	18.9647	−	131.902i	0.0409605	−	0.284887i	−0.959038	−	0.283277i	$-0.908579\pi$
$463$	18.9647	−	131.902i	0.0409605	−	0.284887i	0.999999	−	0.00160977i	$-0.000512406\pi$
$464$	305.076	−	668.024i	0.657492	−	1.43971i
$465$	−52.2531	−	177.958i	−0.112372	−	0.382705i
$466$	116.267	+	254.589i	0.249500	+	0.546328i
$467$	464.297	−	402.315i	0.994211	−	0.861489i	0.00384906	−	0.999993i	$-0.498775\pi$
$467$	464.297	−	402.315i	0.994211	−	0.861489i	0.990362	+	0.138504i	$0.0442293\pi$
$468$	−4.63025	−	32.2041i	−0.00989371	−	0.0688122i
$469$	−330.541	−	97.0557i	−0.704779	−	0.206942i
$470$	−14.0784	−	12.1990i	−0.0299540	−	0.0259552i
$471$	−216.925	+	337.542i	−0.460563	+	0.716649i
$472$	−237.555	−	152.667i	−0.503294	−	0.323448i
$473$	373.983	−	431.599i	0.790662	−	0.912472i
$474$	119.970	−	408.579i	0.253100	−	0.861980i
$475$	−539.647	+	77.5896i	−1.13610	+	0.163346i
$476$	−68.9043	−	79.5198i	−0.144757	−	0.167058i
$477$	0.726901	−	0.331964i	0.00152390	−	0.000695942i
$478$	−392.305	+	115.191i	−0.820722	+	0.240986i
$479$	377.961	+	172.609i	0.789063	+	0.360353i	0.768839	−	0.639442i	$-0.220835\pi$
$479$	377.961	+	172.609i	0.789063	+	0.360353i	0.0202241	+	0.999795i	$0.493562\pi$
$480$	126.320	+	18.1620i	0.263166	+	0.0378375i
$481$	152.872	+	237.873i	0.317821	+	0.494539i
$482$		−	436.210i		−	0.905000i
$483$	438.786	−	288.775i	0.908460	−	0.597878i
$484$	−122.588			−0.253281
$485$	255.335	−	164.094i	0.526464	−	0.338338i
$486$	41.6420	−	289.627i	0.0856832	−	0.595940i
$487$	−85.3702	+	186.935i	−0.175298	+	0.383849i	−0.976803	−	0.214138i	$-0.931306\pi$
$487$	−85.3702	+	186.935i	−0.175298	+	0.383849i	0.801505	+	0.597988i	$0.204033\pi$
$488$	−36.7161	−	125.043i	−0.0752379	−	0.256237i
$489$	280.888	+	615.059i	0.574413	+	1.25779i
$490$	−127.993	+	110.906i	−0.261210	+	0.226339i
$491$	−50.9531	−	354.387i	−0.103774	−	0.721765i	−0.973576	−	0.228364i	$-0.926663\pi$
$491$	−50.9531	−	354.387i	−0.103774	−	0.721765i	0.869802	−	0.493401i	$-0.164247\pi$
$492$	56.6987	+	16.6482i	0.115241	+	0.0338379i
$493$	−251.640	−	218.047i	−0.510425	−	0.442286i
$494$	359.126	−	558.811i	0.726976	−	1.13120i
$495$	−71.9769	−	46.2568i	−0.145408	−	0.0934480i
$496$	−381.972	+	440.819i	−0.770104	+	0.888748i
$497$	−250.145	+	851.917i	−0.503311	+	1.71412i
$498$	−255.982	+	36.8047i	−0.514020	+	0.0739050i
$499$	−118.244	−	136.461i	−0.236961	−	0.273468i	0.624797	−	0.780788i	$-0.285182\pi$
$499$	−118.244	−	136.461i	−0.236961	−	0.273468i	−0.861758	+	0.507319i	$0.830636\pi$
$500$	129.688	−	59.2263i	0.259375	−	0.118453i
$501$	−128.676	+	37.7828i	−0.256839	+	0.0754147i
$502$	−380.714	−	173.866i	−0.758394	−	0.346347i
$503$	−592.924	−	85.2496i	−1.17878	−	0.169482i	−0.475053	−	0.879957i	$-0.657571\pi$
$503$	−592.924	−	85.2496i	−1.17878	−	0.169482i	−0.703723	+	0.710475i	$0.748480\pi$
$504$	−71.7037	−	111.573i	−0.142269	−	0.221375i
$505$			394.817i			0.781816i
$506$	−775.068	+	8.42219i	−1.53175	+	0.0166446i
$507$	−172.363			−0.339967
$508$	−31.1380	+	20.0112i	−0.0612953	+	0.0393921i
$509$	−62.2063	+	432.654i	−0.122213	+	0.850008i	0.832828	+	0.553533i	$0.186721\pi$
$509$	−62.2063	+	432.654i	−0.122213	+	0.850008i	−0.955040	+	0.296476i	$0.904189\pi$
$510$	52.8884	−	115.810i	0.103703	−	0.227078i
$511$	249.728	+	850.495i	0.488704	+	1.66437i
$512$	33.4020	+	73.1402i	0.0652383	+	0.142852i
$513$	631.107	−	546.857i	1.23023	−	1.06600i
$514$	0.275092	+	1.91331i	0.000535199	+	0.00372239i
$515$	208.495	+	61.2198i	0.404845	+	0.118873i
$516$	−101.140	−	87.6387i	−0.196009	−	0.169842i
$517$	−26.2568	+	40.8563i	−0.0507868	+	0.0790257i
$518$	−484.675	−	311.482i	−0.935667	−	0.601316i
$519$	−152.839	+	176.386i	−0.294487	+	0.339856i
$520$	42.4369	−	144.527i	0.0816094	−	0.277936i
$521$	620.972	−	89.2823i	1.19189	−	0.171367i	0.482312	−	0.875999i	$-0.339797\pi$
$521$	620.972	−	89.2823i	1.19189	−	0.171367i	0.709573	+	0.704632i	$0.248888\pi$
$522$	137.377	+	158.541i	0.263174	+	0.303719i
$523$	491.356	−	224.395i	0.939496	−	0.429053i	0.114012	−	0.993479i	$-0.463630\pi$
$523$	491.356	−	224.395i	0.939496	−	0.429053i	0.825484	+	0.564426i	$0.190902\pi$
$524$	112.356	−	32.9907i	0.214420	−	0.0629593i
$525$	397.314	+	181.447i	0.756789	+	0.345614i
$526$	643.301	+	92.4927i	1.22301	+	0.175842i
$527$	142.977	+	222.476i	0.271303	+	0.422156i
$528$		−	732.086i		−	1.38653i
$529$	−528.875	+	11.4953i	−0.999764	+	0.0217302i
$530$	−1.84922			−0.00348910
$531$	93.2980	−	59.9590i	0.175703	−	0.112917i
$532$	−48.1463	+	334.865i	−0.0905005	+	0.629445i
$533$	72.4299	−	158.599i	0.135891	−	0.297560i
$534$	130.319	+	443.825i	0.244043	+	0.831133i
$535$	−93.4921	−	204.719i	−0.174752	−	0.382653i
$536$	−180.114	+	156.070i	−0.336034	+	0.291175i
$537$	42.6458	+	296.608i	0.0794149	+	0.552343i
$538$	383.337	+	112.558i	0.712521	+	0.209215i
$539$	333.690	+	289.144i	0.619091	+	0.536446i
$540$	−51.1718	+	79.6248i	−0.0947625	+	0.147453i
$541$	−373.953	−	240.325i	−0.691226	−	0.444224i	0.147295	−	0.989093i	$-0.452943\pi$
$541$	−373.953	−	240.325i	−0.691226	−	0.444224i	−0.838521	+	0.544869i	$0.816580\pi$
$542$	−310.551	+	358.395i	−0.572973	+	0.661246i
$543$	4.29305	−	14.6208i	0.00790617	−	0.0269259i
$544$	−180.116	+	25.8968i	−0.331096	+	0.0476044i
$545$	−304.522	−	351.437i	−0.558756	−	0.644839i
$546$	−484.082	+	221.073i	−0.886597	+	0.404895i
$547$	724.075	−	212.608i	1.32372	−	0.388679i	0.457886	−	0.889011i	$-0.348607\pi$
$547$	724.075	−	212.608i	1.32372	−	0.388679i	0.865834	+	0.500331i	$0.166788\pi$
$548$	76.8917	+	35.1153i	0.140313	+	0.0640790i
$549$	50.6623	+	7.28413i	0.0922810	+	0.0132680i
$550$	−348.456	−	542.208i	−0.633556	−	0.985832i
$551$			1070.57i			1.94297i
$552$	−3.94859	−	363.376i	−0.00715324	−	0.658290i
$553$	639.901			1.15714
$554$	38.3916	−	24.6728i	0.0692988	−	0.0445357i
$555$	24.7984	−	172.477i	0.0446819	−	0.310769i
$556$	114.821	−	251.423i	0.206513	−	0.452201i
$557$	−157.185	−	535.321i	−0.282198	−	0.961080i	−0.971586	−	0.236687i	$-0.923938\pi$
$557$	−157.185	−	535.321i	−0.282198	−	0.961080i	0.689388	−	0.724393i	$-0.257880\pi$
$558$	−69.2154	−	151.560i	−0.124042	−	0.271614i
$559$	−298.421	+	258.583i	−0.533848	+	0.462582i
$560$	60.0527	+	417.676i	0.107237	+	0.745850i
$561$	−318.477	−	93.5134i	−0.567696	−	0.166691i
$562$	871.372	+	755.048i	1.55048	+	1.34350i
$563$	−276.458	+	430.178i	−0.491045	+	0.764081i	−0.995024	−	0.0996346i	$-0.968233\pi$
$563$	−276.458	+	430.178i	−0.491045	+	0.764081i	0.503979	+	0.863716i	$0.331869\pi$
$564$	9.57422	+	6.15298i	0.0169756	+	0.0109095i
$565$	71.4277	−	82.4320i	0.126421	−	0.145897i
$566$	124.314	−	423.374i	0.219636	−	0.748011i
$567$	−470.377	+	67.6300i	−0.829590	+	0.119277i
$568$	402.246	+	464.216i	0.708179	+	0.817282i
$569$	−731.577	+	334.100i	−1.28572	+	0.587170i	−0.936762	−	0.349967i	$-0.886193\pi$
$569$	−731.577	+	334.100i	−1.28572	+	0.587170i	−0.348961	+	0.937137i	$0.613466\pi$
$570$	−392.768	+	115.327i	−0.689066	+	0.202328i
$571$	−245.192	−	111.976i	−0.429409	−	0.196104i	0.188973	−	0.981982i	$-0.439484\pi$
$571$	−245.192	−	111.976i	−0.429409	−	0.196104i	−0.618382	+	0.785878i	$0.712211\pi$
$572$	194.290	+	27.9346i	0.339667	+	0.0488367i
$573$	−244.652	−	380.685i	−0.426966	−	0.664372i
$574$			355.256i			0.618913i
$575$	−241.821	−	367.440i	−0.420558	−	0.639027i
$576$	−74.5595			−0.129444
$577$	−206.933	+	132.988i	−0.358636	+	0.230481i	−0.707534	−	0.706679i	$-0.750192\pi$
$577$	−206.933	+	132.988i	−0.358636	+	0.230481i	0.348898	+	0.937161i	$0.386556\pi$
$578$	69.1456	−	480.918i	0.119629	−	0.832039i
$579$	342.872	−	750.785i	0.592179	−	1.29669i
$580$	−34.1861	−	116.427i	−0.0589416	−	0.200737i
$581$	−161.441	−	353.507i	−0.277868	−	0.608445i
$582$	−560.654	+	485.810i	−0.963324	+	0.834725i
$583$	0.686116	+	4.77204i	0.00117687	+	0.00818532i
$584$	588.381	+	172.764i	1.00750	+	0.295829i
$585$	44.7088	+	38.7404i	0.0764253	+	0.0662229i
$586$	−231.504	+	360.227i	−0.395057	+	0.614721i
$587$	180.679	+	116.115i	0.307801	+	0.197812i	0.685417	−	0.728150i	$-0.259620\pi$
$587$	180.679	+	116.115i	0.307801	+	0.197812i	−0.377616	+	0.925962i	$0.623256\pi$
$588$	67.7577	−	78.1965i	0.115234	−	0.132987i
$589$	239.557	−	815.857i	0.406719	−	1.38516i
$590$	−254.028	+	36.5238i	−0.430557	+	0.0619047i
$591$	−63.3344	−	73.0918i	−0.107165	−	0.123675i
$592$	−498.479	+	227.648i	−0.842025	+	0.384540i
$593$	−450.879	+	132.390i	−0.760336	+	0.223255i	−0.638843	−	0.769337i	$-0.720587\pi$
$593$	−450.879	+	132.390i	−0.760336	+	0.223255i	−0.121494	+	0.992592i	$0.538768\pi$
$594$	898.000	+	410.103i	1.51179	+	0.690409i
$595$	189.371	+	27.2275i	0.318271	+	0.0457605i
$596$	60.4768	+	94.1037i	0.101471	+	0.157892i
$597$		−	193.451i		−	0.324039i
$598$	531.280	+	70.5032i	0.888428	+	0.117898i
$599$	−404.414			−0.675149			−0.337575	−	0.941299i	$-0.609606\pi$
$599$	−404.414			−0.675149			−0.337575	+	0.941299i	$0.609606\pi$
$600$	254.204	−	163.367i	0.423673	−	0.272278i
$601$	49.5281	−	344.476i	0.0824095	−	0.573171i	−0.906221	−	0.422805i	$-0.861046\pi$
$601$	49.5281	−	344.476i	0.0824095	−	0.573171i	0.988630	−	0.150366i	$-0.0480453\pi$
$602$	334.225	−	731.851i	0.555192	−	1.21570i
$603$	−26.3704	−	89.8092i	−0.0437319	−	0.148937i
$604$	40.7857	+	89.3082i	0.0675260	+	0.147861i
$605$	168.456	−	145.968i	0.278439	−	0.241269i
$606$	−137.334	−	955.182i	−0.226624	−	1.57621i
$607$	549.329	+	161.297i	0.904989	+	0.265729i	0.700930	−	0.713230i	$-0.252768\pi$
$607$	549.329	+	161.297i	0.904989	+	0.265729i	0.204059	+	0.978959i	$0.434587\pi$
$608$	442.170	+	383.142i	0.727253	+	0.630168i
$609$	463.704	−	721.537i	0.761418	−	1.18479i
$610$	−99.6401	−	64.0348i	−0.163344	−	0.104975i
$611$	21.9902	−	25.3781i	0.0359906	−	0.0415353i
$612$	8.05433	−	27.4305i	0.0131607	−	0.0448211i
$613$	−814.210	+	117.066i	−1.32824	+	0.190972i	−0.769646	−	0.638471i	$-0.779567\pi$
$613$	−814.210	+	117.066i	−1.32824	+	0.190972i	−0.558592	+	0.829443i	$0.688658\pi$
$614$	209.010	+	241.210i	0.340406	+	0.392850i
$615$	−97.7366	+	44.6348i	−0.158921	+	0.0725770i
$616$	767.737	−	225.428i	1.24633	−	0.365954i
$617$	590.535	+	269.688i	0.957107	+	0.437096i	0.831833	−	0.555026i	$-0.187292\pi$
$617$	590.535	+	269.688i	0.957107	+	0.437096i	0.125274	+	0.992122i	$0.460019\pi$
$618$	−525.708	−	75.5855i	−0.850661	−	0.122307i
$619$	−644.150	−	1002.32i	−1.04063	−	1.61925i	−0.748818	−	0.662776i	$-0.769378\pi$
$619$	−644.150	−	1002.32i	−1.04063	−	1.61925i	−0.291812	−	0.956476i	$-0.594258\pi$
$620$			96.3760i			0.155445i
$621$	615.873	+	273.212i	0.991744	+	0.439954i
$622$	−625.246			−1.00522
$623$	−584.758	+	375.801i	−0.938616	+	0.603212i
$624$	−72.0378	+	501.034i	−0.115445	+	0.802939i
$625$	90.9302	−	199.109i	0.145488	−	0.318575i
$626$	−243.778	−	830.233i	−0.389422	−	1.32625i
$627$	443.337	+	970.773i	0.707077	+	1.54828i
$628$	157.570	−	136.535i	0.250907	−	0.217412i
$629$	35.3595	+	245.931i	0.0562154	+	0.390987i
$630$	−115.655	−	33.9592i	−0.183579	−	0.0539035i
$631$	−873.847	−	757.193i	−1.38486	−	1.19999i	−0.954822	−	0.297178i	$-0.903955\pi$
$631$	−873.847	−	757.193i	−1.38486	−	1.19999i	−0.430038	−	0.902811i	$-0.641500\pi$
$632$	239.336	−	372.415i	0.378697	−	0.589264i
$633$	141.653	+	91.0346i	0.223780	+	0.143815i
$634$	−169.541	+	195.660i	−0.267414	+	0.308613i
$635$	18.9610	−	64.5753i	0.0298599	−	0.101693i
$636$	1.11827	−	0.160784i	0.00175829	−	0.000252804i
$637$	−199.923	−	230.724i	−0.313851	−	0.362204i
$638$	−1151.25	+	525.756i	−1.80446	+	0.824069i
$639$	−231.469	+	67.9654i	−0.362236	+	0.106362i
$640$	337.950	+	154.336i	0.528046	+	0.241151i
$641$	84.3366	+	12.1258i	0.131570	+	0.0189170i	0.207785	−	0.978174i	$-0.433374\pi$
$641$	84.3366	+	12.1258i	0.131570	+	0.0189170i	−0.0762150	+	0.997091i	$0.524284\pi$
$642$	297.396	+	462.757i	0.463234	+	0.720806i
$643$			751.612i			1.16891i	0.811425	+	0.584457i	$0.198692\pi$
$643$			751.612i			1.16891i	−0.811425	+	0.584457i	$0.801308\pi$
$644$	−261.046	+	79.7410i	−0.405351	+	0.123821i
$645$	243.337			0.377266
$646$	491.024	−	315.562i	0.760099	−	0.488486i
$647$	115.014	−	799.938i	0.177765	−	1.23638i	−0.684155	−	0.729336i	$-0.739829\pi$
$647$	115.014	−	799.938i	0.177765	−	1.23638i	0.861920	−	0.507044i	$-0.169262\pi$
$648$	−136.571	+	299.049i	−0.210758	+	0.461495i
$649$	188.504	+	641.986i	0.290453	+	0.989192i
$650$	185.127	+	405.371i	0.284811	+	0.623648i
$651$	−514.832	+	446.105i	−0.790833	+	0.685261i
$652$	−50.0029	−	347.778i	−0.0766915	−	0.533401i
$653$	722.625	+	212.182i	1.10662	+	0.324934i	0.783480	−	0.621417i	$-0.213443\pi$
$653$	722.625	+	212.182i	1.10662	+	0.324934i	0.323142	+	0.946350i	$0.395261\pi$
$654$	858.976	+	744.307i	1.31342	+	1.13808i
$655$	−115.113	+	179.119i	−0.175745	+	0.273464i
$656$	284.266	+	182.687i	0.433333	+	0.278486i
$657$	−157.715	+	182.013i	−0.240054	+	0.277037i
$658$	−19.2763	+	65.6490i	−0.0292953	+	0.0997706i
$659$	−571.965	+	82.2361i	−0.867928	+	0.124789i	−0.561872	−	0.827224i	$-0.689919\pi$
$659$	−571.965	+	82.2361i	−0.867928	+	0.124789i	−0.306056	+	0.952013i	$0.599010\pi$
$660$	−79.2132	−	91.4169i	−0.120020	−	0.138510i
$661$	614.170	−	280.482i	0.929153	−	0.424330i	0.107427	−	0.994213i	$-0.465739\pi$
$661$	614.170	−	280.482i	0.929153	−	0.424330i	0.821726	+	0.569883i	$0.193011\pi$
$662$	97.3167	−	28.5748i	0.147004	−	0.0431643i
$663$	208.762	+	95.3384i	0.314875	+	0.143798i
$664$	−266.119	−	38.2621i	−0.400781	−	0.0576236i
$665$	−332.569	−	517.488i	−0.500104	−	0.778177i
$666$		−	156.538i		−	0.235042i
$667$	−781.758	+	367.335i	−1.17205	+	0.550726i
$668$	69.6868			0.104322
$669$	−456.123	+	293.133i	−0.681799	+	0.438166i
$670$	−30.8254	+	214.395i	−0.0460081	+	0.319993i
$671$	−128.277	+	280.887i	−0.191172	+	0.418609i
$672$	−132.058	−	449.747i	−0.196514	−	0.669266i
$673$	486.469	+	1065.22i	0.722836	+	1.58279i	0.809887	+	0.586586i	$0.199529\pi$
$673$	486.469	+	1065.22i	0.722836	+	1.58279i	−0.0870507	+	0.996204i	$0.527744\pi$
$674$	−500.454	+	433.646i	−0.742514	+	0.643392i
$675$	79.7305	+	554.538i	0.118119	+	0.821538i
$676$	85.9369	+	25.2334i	0.127126	+	0.0373274i
$677$	317.623	+	275.222i	0.469163	+	0.406532i	0.857097	−	0.515155i	$-0.172266\pi$
$677$	317.623	+	275.222i	0.469163	+	0.406532i	−0.387934	+	0.921687i	$0.626811\pi$
$678$	−144.132	+	224.274i	−0.212584	+	0.330787i
$679$	−937.828	−	602.705i	−1.38119	−	0.887637i
$680$	86.6749	−	100.028i	0.127463	−	0.147100i
$681$	75.1179	−	255.828i	0.110305	−	0.375665i
$682$	994.981	−	143.057i	1.45892	−	0.209761i
$683$	−127.857	−	147.555i	−0.187200	−	0.216040i	0.654390	−	0.756157i	$-0.272925\pi$
$683$	−127.857	−	147.555i	−0.187200	−	0.216040i	−0.841590	+	0.540117i	$0.818380\pi$
$684$	−83.6129	+	38.1848i	−0.122241	+	0.0558257i
$685$	−147.474	+	43.3024i	−0.215291	+	0.0632151i
$686$	−350.531	−	160.082i	−0.510978	−	0.233356i
$687$	624.772	+	89.8287i	0.909421	+	0.130755i
$688$	−413.736	−	643.786i	−0.601360	−	0.935735i
$689$		−	3.33347i		−	0.00483812i
$690$	−218.981	−	247.237i	−0.317363	−	0.358315i
$691$	−563.653			−0.815706			−0.407853	−	0.913048i	$-0.633722\pi$
$691$	−563.653			−0.815706			−0.407853	+	0.913048i	$0.633722\pi$
$692$	102.025	−	65.5673i	0.147435	−	0.0947504i
$693$	−44.7228	+	311.054i	−0.0645351	+	0.448851i
$694$	452.675	−	991.220i	0.652270	−	1.42827i
$695$	141.592	+	482.217i	0.203729	+	0.693837i
$696$	−246.491	−	539.740i	−0.354154	−	0.775488i
$697$	115.785	−	100.328i	0.166119	−	0.143943i
$698$	147.372	+	1025.00i	0.211135	+	1.46848i
$699$	298.317	+	87.5938i	0.426777	+	0.125313i
$700$	−171.530	−	148.631i	−0.245043	−	0.212331i
$701$	519.975	−	809.097i	0.741761	−	1.15420i	−0.241215	−	0.970472i	$-0.577546\pi$
$701$	519.975	−	809.097i	0.741761	−	1.15420i	0.982976	−	0.183732i	$-0.0588177\pi$
$702$	−574.231	−	369.036i	−0.817993	−	0.525692i
$703$	523.143	−	603.739i	0.744158	−	0.858804i
$704$	126.730	−	431.601i	0.180014	−	0.613070i
$705$	−20.4830	+	2.94501i	−0.0290539	+	0.00417732i
$706$	−962.487	−	1110.77i	−1.36330	−	1.57333i
$707$	1319.09	−	602.408i	1.86575	−	0.852062i
$708$	150.442	−	44.1738i	0.212489	−	0.0623924i
$709$	1255.30	+	573.277i	1.77052	+	0.808571i	0.980776	+	0.195138i	$0.0625156\pi$
$709$	1255.30	+	573.277i	1.77052	+	0.808571i	0.789747	+	0.613432i	$0.210212\pi$
$710$	552.570	+	79.4476i	0.778268	+	0.111898i
$711$	93.9976	+	146.263i	0.132205	+	0.205715i
$712$			480.879i			0.675392i
$713$	677.955	−	105.006i	0.950848	−	0.147274i
$714$	−467.618			−0.654927
$715$	−300.248	+	192.958i	−0.419927	+	0.269871i
$716$	22.1600	−	154.126i	0.0309497	−	0.215260i
$717$	−188.681	+	413.153i	−0.263153	+	0.576224i
$718$	−56.7926	−	193.418i	−0.0790983	−	0.269384i
$719$	20.1700	+	44.1661i	0.0280529	+	0.0614272i	0.923140	−	0.384465i	$-0.125614\pi$
$719$	20.1700	+	44.1661i	0.0280529	+	0.0614272i	−0.895087	+	0.445892i	$0.852887\pi$
$720$	−86.6475	+	75.0805i	−0.120344	+	0.104278i
$721$	−113.584	−	789.994i	−0.157537	−	1.09569i
$722$	−1000.76	−	293.851i	−1.38610	−	0.406996i
$723$	−366.215	−	317.327i	−0.506522	−	0.438904i
$724$	−4.28086	+	6.66115i	−0.00591279	+	0.00920048i
$725$	−604.217	−	388.307i	−0.833403	−	0.535595i
$726$	−356.772	+	411.736i	−0.491421	+	0.567130i
$727$	82.9224	−	282.408i	0.114061	−	0.388456i	−0.882598	−	0.470128i	$-0.844208\pi$
$727$	82.9224	−	282.408i	0.114061	−	0.388456i	0.996659	+	0.0816718i	$0.0260259\pi$
$728$	−547.616	+	78.7353i	−0.752220	+	0.108153i
$729$	−527.464	−	608.725i	−0.723544	−	0.835014i
$730$	506.957	−	231.519i	0.694461	−	0.317150i
$731$	−332.913	+	97.7521i	−0.455422	+	0.133724i
$732$	65.8227	+	30.0602i	0.0899217	+	0.0410659i
$733$	120.738	+	17.3595i	0.164717	+	0.0236828i	0.224180	−	0.974548i	$-0.428030\pi$
$733$	120.738	+	17.3595i	0.164717	+	0.0236828i	−0.0594627	+	0.998231i	$0.518939\pi$
$734$	453.436	+	705.560i	0.617760	+	0.961253i
$735$			188.135i			0.255966i
$736$	−128.062	+	454.346i	−0.173998	+	0.617318i
$737$	564.699			0.766213
$738$	−81.2014	+	52.1850i	−0.110029	+	0.0707114i
$739$	35.1462	−	244.448i	0.0475592	−	0.330781i	−0.952126	−	0.305705i	$-0.901108\pi$
$739$	35.1462	−	244.448i	0.0475592	−	0.330781i	0.999686	−	0.0250767i	$-0.00798298\pi$
$740$	−37.6140	+	82.3633i	−0.0508298	+	0.111302i
$741$	−207.892	−	708.015i	−0.280556	−	0.955486i
$742$	2.82152	+	6.17828i	0.00380259	+	0.00832652i
$743$	742.430	−	643.319i	0.999232	−	0.865840i	0.00826797	−	0.999966i	$-0.497368\pi$
$743$	742.430	−	643.319i	0.999232	−	0.865840i	0.990964	+	0.134126i	$0.0428227\pi$
$744$	67.0695	+	466.478i	0.0901471	+	0.626987i
$745$	−195.156	−	57.3030i	−0.261955	−	0.0769168i
$746$	192.992	+	167.228i	0.258702	+	0.224166i
$747$	57.0868	−	88.8288i	0.0764215	−	0.118914i
$748$	145.097	+	93.2479i	0.193979	+	0.124663i
$749$	−541.320	+	624.717i	−0.722724	+	0.834068i
$750$	178.511	−	607.951i	0.238014	−	0.810601i
$751$	897.905	−	129.099i	1.19561	−	0.171903i	0.484378	−	0.874859i	$-0.339046\pi$
$751$	897.905	−	129.099i	1.19561	−	0.171903i	0.711234	+	0.702956i	$0.248137\pi$
$752$	42.6180	+	49.1838i	0.0566728	+	0.0654039i
$753$	−422.923	+	193.142i	−0.561651	+	0.256497i
$754$	839.639	−	246.540i	1.11358	−	0.326977i
$755$	−162.387	−	74.1597i	−0.215082	−	0.0982248i
$756$	344.105	+	49.4748i	0.455165	+	0.0654429i
$757$	639.441	+	994.989i	0.844704	+	1.31438i	0.947524	+	0.319685i	$0.103577\pi$
$757$	639.441	+	994.989i	0.844704	+	1.31438i	−0.102820	+	0.994700i	$0.532787\pi$
$758$			326.224i			0.430374i
$759$	−556.763	+	656.826i	−0.733549	+	0.865384i
$760$	−425.559			−0.559946
$761$	242.406	−	155.785i	0.318536	−	0.204711i	−0.371595	−	0.928395i	$-0.621189\pi$
$761$	242.406	−	155.785i	0.318536	−	0.204711i	0.690132	+	0.723684i	$0.257553\pi$
$762$	−23.4104	+	162.823i	−0.0307223	+	0.213678i
$763$	−709.519	+	1553.63i	−0.929908	+	2.03621i
$764$	66.2475	+	225.618i	0.0867114	+	0.295312i
$765$	21.5941	+	47.2845i	0.0282276	+	0.0618098i
$766$	−601.546	+	521.243i	−0.785309	+	0.680474i
$767$	−65.8389	−	457.919i	−0.0858395	−	0.597027i
$768$	−567.799	−	166.721i	−0.739321	−	0.217084i
$769$	−369.057	−	319.790i	−0.479918	−	0.415852i	0.381015	−	0.924569i	$-0.375574\pi$
$769$	−369.057	−	319.790i	−0.479918	−	0.415852i	−0.860934	+	0.508717i	$0.830120\pi$
$770$	393.158	−	611.766i	0.510595	−	0.794502i
$771$	1.80642	+	1.16091i	0.00234295	+	0.00150572i
$772$	−280.861	+	324.131i	−0.363810	+	0.419859i
$773$	−326.783	+	1112.92i	−0.422746	+	1.43974i	0.422988	+	0.906135i	$0.360981\pi$
$773$	−326.783	+	1112.92i	−0.422746	+	1.43974i	−0.845734	+	0.533605i	$0.820837\pi$
$774$	216.376	−	31.1102i	0.279556	−	0.0401940i
$775$	373.569	+	431.122i	0.482024	+	0.556286i
$776$	−701.534	+	320.380i	−0.904039	+	0.412861i
$777$	−614.085	+	180.312i	−0.790328	+	0.232061i
$778$	−858.316	−	391.980i	−1.10323	−	0.503830i
$779$	−487.580	−	70.1034i	−0.625905	−	0.0899915i
$780$	45.2174	+	70.3597i	0.0579711	+	0.0902048i
$781$		−	1455.42i		−	1.86353i
$782$	398.910	+	250.282i	0.510116	+	0.320053i
$783$	1100.12			1.40500
$784$	497.742	−	319.879i	0.634874	−	0.408009i
$785$	−53.9517	+	375.242i	−0.0687283	+	0.478015i
$786$	216.187	−	473.384i	0.275048	−	0.602270i
$787$	231.686	+	789.051i	0.294392	+	1.00261i	0.965317	+	0.261081i	$0.0840789\pi$
$787$	231.686	+	789.051i	0.294392	+	1.00261i	−0.670925	+	0.741525i	$0.734103\pi$
$788$	20.8769	+	45.7141i	0.0264936	+	0.0580128i
$789$	545.630	−	472.791i	0.691546	−	0.599228i
$790$	−57.2582	−	398.240i	−0.0724788	−	0.504101i
$791$	−384.390	−	112.867i	−0.485955	−	0.142689i
$792$	164.302	+	142.369i	0.207452	+	0.179759i
$793$	115.431	−	179.614i	0.145563	−	0.226500i
$794$	1231.42	+	791.386i	1.55091	+	0.996708i
$795$	−1.34524	+	1.55249i	−0.00169213	+	0.00195282i
$796$	−28.3205	+	96.4509i	−0.0355786	+	0.121169i
$797$	−1116.35	+	160.508i	−1.40070	+	0.201390i	−0.800917	−	0.598776i	$-0.795654\pi$
$797$	−1116.35	+	160.508i	−1.40070	+	0.201390i	−0.599779	+	0.800166i	$0.704745\pi$
$798$	984.590	+	1136.28i	1.23382	+	1.42391i
$799$	26.8401	−	12.2575i	0.0335921	−	0.0153410i
$800$	−376.619	+	110.585i	−0.470774	+	0.138232i
$801$	−171.795	−	78.4561i	−0.214476	−	0.0979477i
$802$	−1184.79	−	170.346i	−1.47729	−	0.212402i
$803$	−785.547	−	1222.33i	−0.978265	−	1.52221i
$804$		−	132.331i		−	0.164591i
$805$	263.770	−	420.410i	0.327665	−	0.522248i
$806$	−695.035			−0.862327
$807$	373.360	−	239.944i	0.462652	−	0.297328i
$808$	142.773	−	993.006i	0.176699	−	1.22897i
$809$	183.650	−	402.137i	0.227008	−	0.497079i	−0.761515	−	0.648147i	$-0.775544\pi$
$809$	183.650	−	402.137i	0.227008	−	0.497079i	0.988523	+	0.151068i	$0.0482713\pi$
$810$	84.1786	+	286.686i	0.103924	+	0.353933i
$811$	209.669	+	459.112i	0.258532	+	0.566106i	0.993738	−	0.111738i	$-0.0356417\pi$
$811$	209.669	+	459.112i	0.258532	+	0.566106i	−0.735206	+	0.677844i	$0.762914\pi$
$812$	−336.824	+	291.860i	−0.414808	+	0.359433i
$813$	74.9717	+	521.440i	0.0922161	+	0.641377i
$814$	906.148	+	266.069i	1.11320	+	0.326866i
$815$	482.818	+	418.364i	0.592414	+	0.513330i
$816$	−240.468	+	374.175i	−0.294691	+	0.458548i
$817$	938.494	+	603.134i	1.14871	+	0.738230i
$818$	1064.89	−	1228.95i	1.30182	−	1.50238i
$819$	61.2160	−	208.482i	0.0747448	−	0.254557i
$820$	55.2640	−	7.94576i	0.0673951	−	0.00968995i
$821$	300.405	+	346.686i	0.365901	+	0.422272i	0.908608	−	0.417650i	$-0.137146\pi$
$821$	300.405	+	346.686i	0.365901	+	0.422272i	−0.542707	+	0.839922i	$0.682601\pi$
$822$	341.723	−	156.059i	0.415721	−	0.189853i
$823$	571.908	−	167.927i	0.694907	−	0.204043i	0.0848417	−	0.996394i	$-0.472962\pi$
$823$	571.908	−	167.927i	0.694907	−	0.204043i	0.610065	+	0.792351i	$0.291143\pi$
$824$	−502.250	−	229.370i	−0.609526	−	0.278361i
$825$	−708.693	−	101.895i	−0.859022	−	0.123509i
$826$	509.620	+	792.985i	0.616974	+	0.960030i
$827$			168.555i			0.203815i	0.994794	+	0.101908i	$0.0324946\pi$
$827$			168.555i			0.203815i	−0.994794	+	0.101908i	$0.967505\pi$
$828$	−56.5726	−	47.9542i	−0.0683244	−	0.0579157i
$829$	208.569			0.251591			0.125795	−	0.992056i	$-0.459852\pi$
$829$	208.569			0.251591			0.125795	+	0.992056i	$0.459852\pi$
$830$	−205.558	+	132.104i	−0.247660	+	0.159161i
$831$	7.21476	−	50.1798i	0.00868202	−	0.0603848i
$832$	−129.203	+	282.915i	−0.155292	+	0.340042i
$833$	−75.5769	−	257.391i	−0.0907286	−	0.308993i
$834$	−510.289	−	1117.38i	−0.611857	−	1.33978i
$835$	−95.7610	+	82.9774i	−0.114684	+	0.0993741i
$836$	−78.9216	−	548.912i	−0.0944038	−	0.656593i
$837$	−838.370	−	246.168i	−1.00164	−	0.294107i
$838$	−840.080	−	727.933i	−1.00248	−	0.868655i
$839$	−554.722	+	863.164i	−0.661170	+	1.02880i	0.335072	+	0.942193i	$0.391239\pi$
$839$	−554.722	+	863.164i	−0.661170	+	1.02880i	−0.996242	+	0.0866088i	$0.972397\pi$
$840$	286.815	+	184.325i	0.341447	+	0.219434i
$841$	−372.850	+	430.292i	−0.443342	+	0.511644i
$842$	55.0391	−	187.446i	0.0653671	−	0.222620i
$843$	1267.78	−	182.280i	1.50390	−	0.216228i
$844$	−57.2981	−	66.1255i	−0.0678888	−	0.0783478i
$845$	−148.137	+	67.6520i	−0.175310	+	0.0800615i
$846$	−17.8371	+	5.23744i	−0.0210840	+	0.00619082i
$847$	−744.708	−	340.097i	−0.879230	−	0.401531i
$848$	6.39463	+	0.919409i	0.00754084	+	0.00108421i
$849$	−265.005	−	412.356i	−0.312138	−	0.485696i
$850$			391.584i			0.460687i
$851$	620.365	+	174.857i	0.728983	+	0.205472i
$852$	−341.062			−0.400307
$853$	−249.452	+	160.313i	−0.292441	+	0.187940i	−0.678632	−	0.734478i	$-0.737427\pi$
$853$	−249.452	+	160.313i	−0.292441	+	0.187940i	0.386191	+	0.922419i	$0.373790\pi$
$854$	−61.9113	+	430.603i	−0.0724957	+	0.504219i
$855$	69.4305	−	152.032i	0.0812053	−	0.177815i
$856$	161.113	+	548.699i	0.188216	+	0.641003i
$857$	−637.442	−	1395.80i	−0.743806	−	1.62871i	−0.777191	−	0.629265i	$-0.783356\pi$
$857$	−637.442	−	1395.80i	−0.743806	−	1.62871i	0.0333850	−	0.999443i	$-0.489371\pi$
$858$	659.272	−	571.262i	0.768382	−	0.665807i
$859$	−50.8828	−	353.898i	−0.0592349	−	0.411988i	−0.997767	−	0.0667951i	$-0.978723\pi$
$859$	−50.8828	−	353.898i	−0.0592349	−	0.411988i	0.938532	−	0.345193i	$-0.112186\pi$
$860$	−121.323	−	35.6236i	−0.141073	−	0.0414228i
$861$	298.251	+	258.436i	0.346401	+	0.300158i
$862$	−332.673	+	517.650i	−0.385932	+	0.600522i
$863$	−647.503	−	416.125i	−0.750293	−	0.482184i	0.108761	−	0.994068i	$-0.465312\pi$
$863$	−647.503	−	416.125i	−0.750293	−	0.482184i	−0.859055	+	0.511884i	$0.828948\pi$
$864$	393.714	−	454.371i	0.455688	−	0.525892i
$865$	−62.1264	+	211.583i	−0.0718224	+	0.244605i
$866$	571.105	−	82.1125i	0.659474	−	0.0948181i
$867$	−353.449	−	407.901i	−0.407668	−	0.470474i
$868$	321.993	−	147.049i	0.370960	−	0.169412i
$869$	−1006.44	+	295.517i	−1.15816	+	0.340066i
$870$	−490.538	−	224.021i	−0.563837	−	0.257496i
$871$	−386.476	−	55.5669i	−0.443715	−	0.0637966i
$872$	638.819	+	994.022i	0.732591	+	1.13993i
$873$		−	302.895i		−	0.346958i
$874$	−231.757	−	1496.30i	−0.265169	−	1.71202i
$875$	952.151			1.08817
$876$	−286.440	+	184.084i	−0.326987	+	0.210142i
$877$	−64.7106	+	450.072i	−0.0737863	+	0.513195i	0.919090	+	0.394047i	$0.128925\pi$
$877$	−64.7106	+	450.072i	−0.0737863	+	0.513195i	−0.992877	+	0.119148i	$0.961984\pi$
$878$	−591.054	+	1294.23i	−0.673182	+	1.47406i
$879$	134.014	+	456.408i	0.152461	+	0.519236i
$880$	−287.341	−	629.190i	−0.326524	−	0.714988i
$881$	−41.9127	+	36.3175i	−0.0475740	+	0.0412231i	−0.678323	−	0.734764i	$-0.737293\pi$
$881$	−41.9127	+	36.3175i	−0.0475740	+	0.0412231i	0.630749	+	0.775987i	$0.282748\pi$
$882$	24.0528	+	167.291i	0.0272707	+	0.189672i
$883$	242.195	+	71.1147i	0.274286	+	0.0805376i	0.415983	−	0.909372i	$-0.363438\pi$
$883$	242.195	+	71.1147i	0.274286	+	0.0805376i	−0.141697	+	0.989910i	$0.545256\pi$
$884$	−90.1274	−	78.0958i	−0.101954	−	0.0883437i
$885$	−154.133	+	239.836i	−0.174162	+	0.271002i
$886$	1130.04	+	726.235i	1.27544	+	0.819678i
$887$	405.048	−	467.450i	0.456649	−	0.527002i	−0.480001	−	0.877268i	$-0.659364\pi$
$887$	405.048	−	467.450i	0.456649	−	0.527002i	0.936650	+	0.350267i	$0.113909\pi$
$888$	−124.741	+	424.830i	−0.140475	+	0.478412i
$889$	−244.678	+	35.1793i	−0.275228	+	0.0395718i
$890$	286.202	+	330.295i	0.321576	+	0.371118i
$891$	708.579	−	323.597i	0.795263	−	0.363184i
$892$	270.328	−	79.3754i	0.303058	−	0.0889859i
$893$	−86.2978	−	39.4109i	−0.0966381	−	0.0441331i
$894$	492.074	+	70.7496i	0.550419	+	0.0791383i
$895$	153.070	+	238.181i	0.171028	+	0.266124i
$896$		−	1364.58i		−	1.52297i
$897$	445.677	−	394.741i	0.496853	−	0.440068i
$898$	−68.3981			−0.0761671
$899$	942.350	−	605.612i	1.04822	−	0.673650i
$900$	8.77622	−	61.0399i	0.00975135	−	0.0678221i
$901$	1.21679	−	2.66440i	0.00135049	−	0.00295716i
$902$	−164.063	−	558.748i	−0.181888	−	0.619455i
$903$	−371.281	−	812.991i	−0.411163	−	0.900322i
$904$	−209.457	+	181.496i	−0.231700	+	0.200770i
$905$	−2.04896	−	14.2508i	−0.00226404	−	0.0157468i
$906$	418.660	+	122.930i	0.462097	+	0.135684i
$907$	−1002.05	−	868.283i	−1.10480	−	0.957314i	−0.105487	−	0.994421i	$-0.533640\pi$
$907$	−1002.05	−	868.283i	−1.10480	−	0.957314i	−0.999311	+	0.0371071i	$0.988186\pi$
$908$	−74.9046	+	116.554i	−0.0824941	+	0.128363i
$909$	331.459	+	213.016i	0.364642	+	0.234341i
$910$	−329.273	+	380.001i	−0.361839	+	0.417584i
$911$	−288.215	+	981.570i	−0.316372	+	1.07746i	0.635788	+	0.771864i	$0.280675\pi$
$911$	−288.215	+	981.570i	−0.316372	+	1.07746i	−0.952160	+	0.305600i	$0.901143\pi$
$912$	1415.53	−	203.523i	1.55212	−	0.223161i
$913$	417.171	+	481.441i	0.456923	+	0.527317i
$914$	−382.592	+	174.724i	−0.418591	+	0.191164i
$915$	−126.244	+	37.0687i	−0.137972	+	0.0405122i
$916$	−298.349	−	136.251i	−0.325708	−	0.148746i
$917$	774.077	+	111.295i	0.844141	+	0.121369i
$918$	−324.270	−	504.573i	−0.353235	−	0.549644i
$919$			96.2448i			0.104728i	0.998628	+	0.0523639i	$0.0166756\pi$
$919$			96.2448i			0.104728i	−0.998628	+	0.0523639i	$0.983324\pi$
$920$	−146.018	−	310.753i	−0.158715	−	0.337775i
$921$	354.552			0.384964
$922$	−555.355	+	356.905i	−0.602337	+	0.387098i
$923$	−143.215	+	996.080i	−0.155162	+	1.07918i
$924$	−184.562	+	404.135i	−0.199743	+	0.437376i
$925$	150.993	+	514.236i	0.163236	+	0.555931i
$926$	127.840	+	279.930i	0.138056	+	0.302300i
$927$	163.885	−	142.008i	0.176791	−	0.153190i
$928$	109.692	+	762.923i	0.118202	+	0.822115i
$929$	−843.111	−	247.560i	−0.907547	−	0.266480i	−0.205539	−	0.978649i	$-0.565895\pi$
$929$	−843.111	−	247.560i	−0.907547	−	0.266480i	−0.702008	+	0.712169i	$0.747713\pi$
$930$	323.699	+	280.486i	0.348063	+	0.301598i
$931$	−466.312	+	725.595i	−0.500872	+	0.779372i
$932$	−135.912	−	87.3451i	−0.145828	−	0.0937179i
$933$	−454.844	+	524.919i	−0.487507	+	0.562614i
$934$	−399.707	+	1361.28i	−0.427952	+	1.45747i
$935$	−310.419	+	44.6314i	−0.331998	+	0.0477342i
$936$	−98.4382	−	113.604i	−0.105169	−	0.121371i
$937$	−800.648	+	365.644i	−0.854481	+	0.390228i	−0.793983	−	0.607940i	$-0.791996\pi$
$937$	−800.648	+	365.644i	−0.854481	+	0.390228i	−0.0604978	+	0.998168i	$0.519269\pi$
$938$	763.331	−	224.134i	0.813786	−	0.238949i
$939$	−874.352	−	399.303i	−0.931153	−	0.425243i
$940$	10.6436	+	1.53031i	0.0113229	+	0.00162799i
$941$	567.625	+	883.241i	0.603214	+	0.938620i	0.999787	+	0.0206168i	$0.00656301\pi$
$941$	567.625	+	883.241i	0.603214	+	0.938620i	−0.396573	+	0.918003i	$0.629801\pi$
$942$		−	926.591i		−	0.983643i
$943$	−116.107	−	380.096i	−0.123125	−	0.403071i
$944$	896.592			0.949780
$945$	−531.767	+	341.746i	−0.562716	+	0.361636i
$946$	−187.690	+	1305.41i	−0.198404	+	1.37993i
$947$	424.162	−	928.786i	0.447901	−	0.980766i	−0.542179	−	0.840263i	$-0.682401\pi$
$947$	424.162	−	928.786i	0.447901	−	0.980766i	0.990080	−	0.140504i	$-0.0448721\pi$
$948$	69.2512	+	235.848i	0.0730498	+	0.248785i
$949$	417.344	+	913.856i	0.439772	+	0.962967i
$950$	951.521	−	824.498i	1.00160	−	0.867892i
$951$	40.9297	+	284.672i	0.0430386	+	0.299340i
$952$	−466.443	−	136.960i	−0.489961	−	0.143866i
$953$	−1199.36	−	1039.25i	−1.25851	−	1.09050i	−0.991943	−	0.126689i	$-0.959565\pi$
$953$	−1199.36	−	1039.25i	−1.25851	−	1.09050i	−0.266567	−	0.963816i	$-0.585889\pi$
$954$	−0.997713	+	1.55247i	−0.00104582	+	0.00162733i
$955$	−359.683	−	231.154i	−0.376632	−	0.242046i
$956$	154.557	−	178.368i	0.161670	−	0.186577i
$957$	−396.097	+	1348.98i	−0.413895	+	1.40960i
$958$	−949.786	+	136.559i	−0.991426	+	0.142546i
$959$	369.689	+	426.643i	0.385494	+	0.444883i
$960$	174.346	−	79.6210i	0.181610	−	0.0829386i
$961$	68.4164	−	20.0889i	0.0711929	−	0.0209041i
$962$	−593.980	−	271.261i	−0.617442	−	0.281977i
$963$	−222.309	−	31.9633i	−0.230851	−	0.0331913i
$964$	136.132	+	211.826i	0.141216	+	0.219736i
$965$		−	779.837i		−	0.808121i
$966$	−491.904	+	1108.85i	−0.509218	+	1.14788i
$967$	193.353			0.199952			0.0999759	−	0.994990i	$-0.468123\pi$
$967$	193.353			0.199952			0.0999759	+	0.994990i	$0.468123\pi$
$968$	−476.468	+	306.208i	−0.492219	+	0.316330i
$969$	92.2760	−	641.794i	0.0952281	−	0.662326i
$970$	−291.175	+	637.583i	−0.300180	+	0.657302i
$971$	−400.192	−	1362.93i	−0.412144	−	1.40363i	−0.860351	−	0.509703i	$-0.829755\pi$
$971$	−400.192	−	1362.93i	−0.412144	−	1.40363i	0.448207	−	0.893930i	$-0.352063\pi$
$972$	70.1649	+	153.640i	0.0721861	+	0.158066i
$973$	1395.05	−	1208.82i	1.43377	−	1.24237i
$974$	−67.5401	−	469.752i	−0.0693430	−	0.482291i
$975$	474.998	+	139.472i	0.487178	+	0.143048i
$976$	312.720	+	270.973i	0.320409	+	0.277636i
$977$	−252.796	+	393.358i	−0.258747	+	0.402618i	−0.946186	−	0.323624i	$-0.895099\pi$
$977$	−252.796	+	393.358i	−0.258747	+	0.402618i	0.687439	+	0.726242i	$0.258735\pi$
$978$	−1313.61	−	844.204i	−1.34316	−	0.863195i
$979$	746.159	−	861.113i	0.762164	−	0.879585i
$980$	27.5423	−	93.8006i	0.0281044	−	0.0957149i
$981$	−459.340	+	66.0431i	−0.468236	+	0.0673222i
$982$	541.448	+	624.864i	0.551373	+	0.636318i
$983$	1603.97	−	732.510i	1.63171	−	0.745178i	0.632152	−	0.774844i	$-0.282172\pi$
$983$	1603.97	−	732.510i	1.63171	−	0.745178i	0.999560	+	0.0296666i	$0.00944455\pi$
$984$	261.959	−	76.9180i	0.266218	−	0.0781687i
$985$	−83.1209	−	37.9601i	−0.0843867	−	0.0385381i
$986$	761.107	+	109.431i	0.771914	+	0.110984i
$987$	41.0921	+	63.9405i	0.0416333	+	0.0647827i
$988$			383.437i			0.388094i
$989$	−118.407	+	892.257i	−0.119724	+	0.902181i
$990$	197.585			0.199581
$991$	−153.109	+	98.3969i	−0.154499	+	0.0992905i	−0.615606	−	0.788054i	$-0.711089\pi$
$991$	−153.109	+	98.3969i	−0.154499	+	0.0992905i	0.461107	+	0.887344i	$0.347452\pi$
$992$	87.1224	−	605.950i	0.0878250	−	0.610836i
$993$	46.8048	−	102.488i	0.0471348	−	0.103211i
$994$	−577.670	−	1967.36i	−0.581157	−	1.97924i
$995$	−75.9289	−	166.261i	−0.0763105	−	0.167097i
$996$	112.820	−	97.7593i	0.113273	−	0.0981519i
$997$	−38.6332	−	268.700i	−0.0387495	−	0.269508i	0.961231	−	0.275744i	$-0.0889242\pi$
$997$	−38.6332	−	268.700i	−0.0387495	−	0.269508i	−0.999981	+	0.00623558i	$0.998015\pi$
$998$	400.091	+	117.477i	0.400893	+	0.117713i
$999$	−620.399	−	537.579i	−0.621020	−	0.538117i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	23.3.d.a.11.1	✓	30
3.2	odd	2		207.3.j.a.172.3		30
4.3	odd	2		368.3.p.a.241.3		30
23.5	odd	22		529.3.b.b.528.8		30
23.18	even	11		529.3.b.b.528.7		30
23.21	odd	22	inner	23.3.d.a.21.1	yes	30
69.44	even	22		207.3.j.a.136.3		30
92.67	even	22		368.3.p.a.113.3		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.3.d.a.11.1	✓	30	1.1	even	1	trivial
23.3.d.a.21.1	yes	30	23.21	odd	22	inner
207.3.j.a.136.3		30	69.44	even	22
207.3.j.a.172.3		30	3.2	odd	2
368.3.p.a.113.3		30	92.67	even	22
368.3.p.a.241.3		30	4.3	odd	2
529.3.b.b.528.7		30	23.18	even	11
529.3.b.b.528.8		30	23.5	odd	22

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:	\( N \)	\(=\)	\( 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	23.d (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.94274 + 1.24852i) q^{2} +(-0.365090 + 2.53926i) q^{3} +(0.553766 - 1.21258i) q^{4} +(0.682875 + 2.32566i) q^{5} +(-2.46105 - 5.38894i) q^{6} +(6.72814 - 5.82996i) q^{7} +(-0.876504 - 6.09622i) q^{8} +(2.32089 + 0.681474i) q^{9} +O(q^{10})\)	\(q+(-1.94274 + 1.24852i) q^{2} +(-0.365090 + 2.53926i) q^{3} +(0.553766 - 1.21258i) q^{4} +(0.682875 + 2.32566i) q^{5} +(-2.46105 - 5.38894i) q^{6} +(6.72814 - 5.82996i) q^{7} +(-0.876504 - 6.09622i) q^{8} +(2.32089 + 0.681474i) q^{9} +(-4.23029 - 3.66556i) q^{10} +(-7.88967 + 12.2766i) q^{11} +(2.87688 + 1.84886i) q^{12} +(6.60766 - 7.62565i) q^{13} +(-5.79217 + 19.7263i) q^{14} +(-6.15477 + 0.884922i) q^{15} +(12.8059 + 14.7788i) q^{16} +(8.06496 - 3.68314i) q^{17} +(-5.35971 + 1.57375i) q^{18} +(-25.9309 - 11.8422i) q^{19} +(3.19820 + 0.459831i) q^{20} +(12.3474 + 19.2129i) q^{21} -33.7006i q^{22} +(-0.249912 - 22.9986i) q^{23} +15.7999 q^{24} +(16.0890 - 10.3397i) q^{25} +(-3.31617 + 23.0644i) q^{26} +(-12.1690 + 26.6464i) q^{27} +(-3.34347 - 11.3868i) q^{28} +(-15.6008 - 34.1610i) q^{29} +(10.8523 - 9.40353i) q^{30} +(4.24493 + 29.5242i) q^{31} +(-19.6925 - 5.78224i) q^{32} +(-28.2929 - 24.5160i) q^{33} +(-11.0696 + 17.2247i) q^{34} +(18.1530 + 11.6662i) q^{35} +(2.11157 - 2.43688i) q^{36} +(-7.89508 + 26.8882i) q^{37} +(65.1623 - 9.36892i) q^{38} +(16.9511 + 19.5626i) q^{39} +(13.5792 - 6.20141i) q^{40} +(16.5798 - 4.86826i) q^{41} +(-47.9756 - 21.9097i) q^{42} +(-38.7355 - 5.56933i) q^{43} +(10.5173 + 16.3652i) q^{44} +5.86295i q^{45} +(29.1998 + 44.3683i) q^{46} +3.32799 q^{47} +(-42.2026 + 27.1219i) q^{48} +(4.30592 - 29.9483i) q^{49} +(-18.3472 + 40.1749i) q^{50} +(6.40802 + 21.8237i) q^{51} +(-5.58759 - 12.2351i) q^{52} +(0.249675 - 0.216345i) q^{53} +(-9.62744 - 66.9603i) q^{54} +(-33.9388 - 9.96532i) q^{55} +(-41.4380 - 35.9062i) q^{56} +(39.5377 - 61.5218i) q^{57} +(72.9590 + 46.8879i) q^{58} +(30.0250 - 34.6507i) q^{59} +(-2.33526 + 7.95317i) q^{60} +(20.9446 - 3.01138i) q^{61} +(-45.1084 - 52.0578i) q^{62} +(19.5882 - 8.94563i) q^{63} +(-29.5755 + 8.68416i) q^{64} +(22.2469 + 10.1598i) q^{65} +(85.5746 + 12.3038i) q^{66} +(-20.9207 - 32.5532i) q^{67} -11.8190i q^{68} +(58.4908 + 7.76199i) q^{69} -49.8320 q^{70} +(-83.9007 + 53.9197i) q^{71} +(2.12015 - 14.7459i) q^{72} +(-41.3614 + 90.5689i) q^{73} +(-18.2324 - 62.0939i) q^{74} +(20.3814 + 44.6290i) q^{75} +(-28.7193 + 24.8854i) q^{76} +(18.4892 + 128.595i) q^{77} +(-57.3559 - 16.8412i) q^{78} +(54.3218 + 47.0701i) q^{79} +(-25.6256 + 39.8743i) q^{80} +(-44.9055 - 28.8590i) q^{81} +(-26.1321 + 30.1580i) q^{82} +(12.2985 - 41.8848i) q^{83} +(30.1348 - 4.33273i) q^{84} +(14.0731 + 16.2412i) q^{85} +(82.2065 - 37.5424i) q^{86} +(92.4393 - 27.1426i) q^{87} +(81.7560 + 37.3367i) q^{88} +(-77.2839 - 11.1118i) q^{89} +(-7.32003 - 11.3902i) q^{90} -89.8288i q^{91} +(-28.0260 - 12.4328i) q^{92} -76.5193 q^{93} +(-6.46542 + 4.15507i) q^{94} +(9.83346 - 68.3932i) q^{95} +(21.8722 - 47.8933i) q^{96} +(-35.2790 - 120.149i) q^{97} +(29.0259 + 63.5578i) q^{98} +(-26.6772 + 23.1159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9}+O(q^{10}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9} - 11 q^{10} - 11 q^{11} - 14 q^{12} - 11 q^{13} - 11 q^{14} + 66 q^{15} + 73 q^{16} + 44 q^{17} + 126 q^{18} + 22 q^{19} + 77 q^{20} + 22 q^{21} + 36 q^{23} - 22 q^{24} - 152 q^{25} - 186 q^{26} - 62 q^{27} - 275 q^{28} - 88 q^{29} - 363 q^{30} - 110 q^{31} - 147 q^{32} - 132 q^{33} + 231 q^{34} + 209 q^{35} + 229 q^{36} + 341 q^{37} + 374 q^{38} + 295 q^{39} + 429 q^{40} + 77 q^{41} + 319 q^{42} + 77 q^{43} + 110 q^{44} - 99 q^{46} - 110 q^{47} - 550 q^{48} - 422 q^{49} - 396 q^{50} - 275 q^{51} - 472 q^{52} - 187 q^{53} - 198 q^{54} - 165 q^{55} + 176 q^{56} - 176 q^{57} - 13 q^{58} - q^{59} + 539 q^{60} + 297 q^{61} + 82 q^{62} + 264 q^{63} + 386 q^{64} + 220 q^{65} + 264 q^{66} + 11 q^{67} - 66 q^{69} - 198 q^{70} - 176 q^{71} - 605 q^{72} - 121 q^{73} - 352 q^{74} + 154 q^{75} + 110 q^{76} + 110 q^{77} + 360 q^{78} + 33 q^{79} - 242 q^{80} + 494 q^{81} + 96 q^{82} - 154 q^{83} + 11 q^{84} + 275 q^{85} + 143 q^{86} + 271 q^{87} + 429 q^{88} + 121 q^{89} + 242 q^{90} + 166 q^{92} + 260 q^{93} - 295 q^{94} - 154 q^{95} - 419 q^{96} + 154 q^{97} + 77 q^{98} - 242 q^{99}+O(q^{100}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9 - 11 * q^10 - 11 * q^11 - 14 * q^12 - 11 * q^13 - 11 * q^14 + 66 * q^15 + 73 * q^16 + 44 * q^17 + 126 * q^18 + 22 * q^19 + 77 * q^20 + 22 * q^21 + 36 * q^23 - 22 * q^24 - 152 * q^25 - 186 * q^26 - 62 * q^27 - 275 * q^28 - 88 * q^29 - 363 * q^30 - 110 * q^31 - 147 * q^32 - 132 * q^33 + 231 * q^34 + 209 * q^35 + 229 * q^36 + 341 * q^37 + 374 * q^38 + 295 * q^39 + 429 * q^40 + 77 * q^41 + 319 * q^42 + 77 * q^43 + 110 * q^44 - 99 * q^46 - 110 * q^47 - 550 * q^48 - 422 * q^49 - 396 * q^50 - 275 * q^51 - 472 * q^52 - 187 * q^53 - 198 * q^54 - 165 * q^55 + 176 * q^56 - 176 * q^57 - 13 * q^58 - q^59 + 539 * q^60 + 297 * q^61 + 82 * q^62 + 264 * q^63 + 386 * q^64 + 220 * q^65 + 264 * q^66 + 11 * q^67 - 66 * q^69 - 198 * q^70 - 176 * q^71 - 605 * q^72 - 121 * q^73 - 352 * q^74 + 154 * q^75 + 110 * q^76 + 110 * q^77 + 360 * q^78 + 33 * q^79 - 242 * q^80 + 494 * q^81 + 96 * q^82 - 154 * q^83 + 11 * q^84 + 275 * q^85 + 143 * q^86 + 271 * q^87 + 429 * q^88 + 121 * q^89 + 242 * q^90 + 166 * q^92 + 260 * q^93 - 295 * q^94 - 154 * q^95 - 419 * q^96 + 154 * q^97 + 77 * q^98 - 242 * q^99

Introduction

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