Properties

Label 403.2.v.a.36.5
Level 403
Weight 2
Character 403.36
Analytic conductor 3.218
Analytic rank 0
Dimension 70
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(70\)
Relative dimension: \(35\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 36.5
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.90799 + 1.10158i) q^{2} -1.41212 q^{3} +(1.42696 - 2.47156i) q^{4} +(1.04549 - 0.603615i) q^{5} +(2.69431 - 1.55556i) q^{6} +(0.354004 - 0.204384i) q^{7} +1.88131i q^{8} -1.00592 q^{9} +O(q^{10})\) \(q+(-1.90799 + 1.10158i) q^{2} -1.41212 q^{3} +(1.42696 - 2.47156i) q^{4} +(1.04549 - 0.603615i) q^{5} +(2.69431 - 1.55556i) q^{6} +(0.354004 - 0.204384i) q^{7} +1.88131i q^{8} -1.00592 q^{9} +(-1.32986 + 2.30339i) q^{10} +(3.29939 + 1.90490i) q^{11} +(-2.01503 + 3.49014i) q^{12} +(-3.33193 - 1.37776i) q^{13} +(-0.450292 + 0.779928i) q^{14} +(-1.47636 + 0.852376i) q^{15} +(0.781503 + 1.35360i) q^{16} +(-0.765109 - 1.32521i) q^{17} +(1.91929 - 1.10810i) q^{18} +(-6.57574 + 3.79650i) q^{19} -3.44533i q^{20} +(-0.499896 + 0.288615i) q^{21} -8.39360 q^{22} +(-2.09503 - 3.62870i) q^{23} -2.65663i q^{24} +(-1.77130 + 3.06798i) q^{25} +(7.87502 - 1.04163i) q^{26} +5.65684 q^{27} -1.16659i q^{28} +(-3.41689 - 5.91823i) q^{29} +(1.87792 - 3.25265i) q^{30} +(4.92093 - 2.60469i) q^{31} +(-6.24072 - 3.60308i) q^{32} +(-4.65912 - 2.68995i) q^{33} +(2.91965 + 1.68566i) q^{34} +(0.246739 - 0.427365i) q^{35} +(-1.43541 + 2.48620i) q^{36} -2.62490i q^{37} +(8.36431 - 14.4874i) q^{38} +(4.70508 + 1.94556i) q^{39} +(1.13559 + 1.96689i) q^{40} +(-4.05831 - 2.34306i) q^{41} +(0.635865 - 1.10135i) q^{42} +(-4.53890 - 7.86160i) q^{43} +(9.41616 - 5.43642i) q^{44} +(-1.05168 + 0.607190i) q^{45} +(7.99460 + 4.61568i) q^{46} -13.0806i q^{47} +(-1.10357 - 1.91145i) q^{48} +(-3.41645 + 5.91747i) q^{49} -7.80490i q^{50} +(1.08043 + 1.87135i) q^{51} +(-8.15974 + 6.26907i) q^{52} +(3.49910 + 6.06061i) q^{53} +(-10.7932 + 6.23146i) q^{54} +4.59931 q^{55} +(0.384510 + 0.665991i) q^{56} +(9.28572 - 5.36111i) q^{57} +(13.0388 + 7.52796i) q^{58} +(-4.53505 + 2.61831i) q^{59} +4.86521i q^{60} +(-3.35189 + 5.80565i) q^{61} +(-6.51982 + 10.3905i) q^{62} +(-0.356101 + 0.205595i) q^{63} +12.7503 q^{64} +(-4.31515 + 0.570767i) q^{65} +11.8528 q^{66} +(-10.3915 - 5.99952i) q^{67} -4.36711 q^{68} +(2.95843 + 5.12415i) q^{69} +1.08721i q^{70} -13.5515i q^{71} -1.89245i q^{72} +(-7.85421 + 4.53463i) q^{73} +(2.89153 + 5.00828i) q^{74} +(2.50128 - 4.33235i) q^{75} +21.6698i q^{76} +1.55733 q^{77} +(-11.1205 + 1.47091i) q^{78} +(-4.23871 + 7.34166i) q^{79} +(1.63411 + 0.943454i) q^{80} -4.97036 q^{81} +10.3243 q^{82} +(-1.33245 + 0.769289i) q^{83} +1.64736i q^{84} +(-1.59983 - 0.923663i) q^{85} +(17.3204 + 9.99992i) q^{86} +(4.82506 + 8.35724i) q^{87} +(-3.58371 + 6.20716i) q^{88} +(-3.18964 + 1.84154i) q^{89} +(1.33774 - 2.31703i) q^{90} +(-1.46111 + 0.193262i) q^{91} -11.9581 q^{92} +(-6.94894 + 3.67814i) q^{93} +(14.4094 + 24.9578i) q^{94} +(-4.58325 + 7.93843i) q^{95} +(8.81264 + 5.08798i) q^{96} +(-7.94336 - 4.58610i) q^{97} -15.0540i q^{98} +(-3.31892 - 1.91618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} + O(q^{10}) \) \( 70q - 6q^{2} + 4q^{3} + 30q^{4} + 6q^{6} - 12q^{7} + 58q^{9} - q^{10} - 6q^{11} + 13q^{12} - 14q^{13} - 14q^{14} - 15q^{15} - 28q^{16} + 6q^{17} + 12q^{19} + 9q^{21} - 8q^{22} + 10q^{23} + 19q^{25} + 34q^{27} - 18q^{29} - 31q^{30} + 2q^{31} + 36q^{32} - 12q^{33} - 9q^{34} - 12q^{35} + 8q^{36} - 21q^{38} - 30q^{39} + 5q^{40} + 18q^{41} - 49q^{42} + 19q^{43} - 42q^{44} - 63q^{45} - 6q^{46} - 27q^{48} + 9q^{49} - 7q^{51} - 43q^{52} - 22q^{53} + 18q^{54} + 30q^{55} + 25q^{56} - 15q^{57} - 12q^{58} + 33q^{59} - 13q^{61} - 17q^{62} - 6q^{63} - 38q^{64} + 9q^{65} - 52q^{66} + 30q^{67} + 88q^{68} - 16q^{69} + 9q^{73} - 19q^{74} + 25q^{75} + 34q^{77} + 14q^{78} + 6q^{79} + 6q^{80} + 22q^{81} - 78q^{82} + 54q^{83} - 33q^{85} + 24q^{86} - 14q^{87} + 16q^{88} - 6q^{89} - 11q^{90} - 70q^{91} - 6q^{92} + 7q^{93} - 43q^{94} + 25q^{95} - 36q^{96} - 75q^{97} - 93q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.90799 + 1.10158i −1.34915 + 0.778935i −0.988130 0.153622i \(-0.950906\pi\)
−0.361025 + 0.932556i \(0.617573\pi\)
\(3\) −1.41212 −0.815287 −0.407643 0.913141i \(-0.633649\pi\)
−0.407643 + 0.913141i \(0.633649\pi\)
\(4\) 1.42696 2.47156i 0.713478 1.23578i
\(5\) 1.04549 0.603615i 0.467558 0.269945i −0.247659 0.968847i \(-0.579661\pi\)
0.715217 + 0.698902i \(0.246328\pi\)
\(6\) 2.69431 1.55556i 1.09995 0.635055i
\(7\) 0.354004 0.204384i 0.133801 0.0772501i −0.431605 0.902063i \(-0.642053\pi\)
0.565406 + 0.824812i \(0.308719\pi\)
\(8\) 1.88131i 0.665143i
\(9\) −1.00592 −0.335307
\(10\) −1.32986 + 2.30339i −0.420539 + 0.728395i
\(11\) 3.29939 + 1.90490i 0.994802 + 0.574349i 0.906706 0.421763i \(-0.138588\pi\)
0.0880959 + 0.996112i \(0.471922\pi\)
\(12\) −2.01503 + 3.49014i −0.581690 + 1.00752i
\(13\) −3.33193 1.37776i −0.924112 0.382122i
\(14\) −0.450292 + 0.779928i −0.120346 + 0.208445i
\(15\) −1.47636 + 0.852376i −0.381194 + 0.220083i
\(16\) 0.781503 + 1.35360i 0.195376 + 0.338401i
\(17\) −0.765109 1.32521i −0.185566 0.321410i 0.758201 0.652021i \(-0.226079\pi\)
−0.943767 + 0.330611i \(0.892745\pi\)
\(18\) 1.91929 1.10810i 0.452381 0.261182i
\(19\) −6.57574 + 3.79650i −1.50858 + 0.870978i −0.508628 + 0.860987i \(0.669847\pi\)
−0.999950 + 0.00999115i \(0.996820\pi\)
\(20\) 3.44533i 0.770399i
\(21\) −0.499896 + 0.288615i −0.109086 + 0.0629810i
\(22\) −8.39360 −1.78952
\(23\) −2.09503 3.62870i −0.436844 0.756636i 0.560600 0.828087i \(-0.310570\pi\)
−0.997444 + 0.0714508i \(0.977237\pi\)
\(24\) 2.65663i 0.542282i
\(25\) −1.77130 + 3.06798i −0.354260 + 0.613595i
\(26\) 7.87502 1.04163i 1.54442 0.204281i
\(27\) 5.65684 1.08866
\(28\) 1.16659i 0.220465i
\(29\) −3.41689 5.91823i −0.634501 1.09899i −0.986621 0.163033i \(-0.947872\pi\)
0.352120 0.935955i \(-0.385461\pi\)
\(30\) 1.87792 3.25265i 0.342860 0.593851i
\(31\) 4.92093 2.60469i 0.883825 0.467817i
\(32\) −6.24072 3.60308i −1.10321 0.636941i
\(33\) −4.65912 2.68995i −0.811049 0.468259i
\(34\) 2.91965 + 1.68566i 0.500715 + 0.289088i
\(35\) 0.246739 0.427365i 0.0417065 0.0722378i
\(36\) −1.43541 + 2.48620i −0.239235 + 0.414366i
\(37\) 2.62490i 0.431531i −0.976445 0.215765i \(-0.930775\pi\)
0.976445 0.215765i \(-0.0692246\pi\)
\(38\) 8.36431 14.4874i 1.35687 2.35017i
\(39\) 4.70508 + 1.94556i 0.753416 + 0.311539i
\(40\) 1.13559 + 1.96689i 0.179552 + 0.310993i
\(41\) −4.05831 2.34306i −0.633801 0.365925i 0.148422 0.988924i \(-0.452581\pi\)
−0.782223 + 0.622999i \(0.785914\pi\)
\(42\) 0.635865 1.10135i 0.0981161 0.169942i
\(43\) −4.53890 7.86160i −0.692175 1.19888i −0.971124 0.238577i \(-0.923319\pi\)
0.278948 0.960306i \(-0.410014\pi\)
\(44\) 9.41616 5.43642i 1.41954 0.819572i
\(45\) −1.05168 + 0.607190i −0.156776 + 0.0905145i
\(46\) 7.99460 + 4.61568i 1.17874 + 0.680546i
\(47\) 13.0806i 1.90801i −0.299793 0.954004i \(-0.596918\pi\)
0.299793 0.954004i \(-0.403082\pi\)
\(48\) −1.10357 1.91145i −0.159287 0.275894i
\(49\) −3.41645 + 5.91747i −0.488065 + 0.845353i
\(50\) 7.80490i 1.10378i
\(51\) 1.08043 + 1.87135i 0.151290 + 0.262042i
\(52\) −8.15974 + 6.26907i −1.13155 + 0.869364i
\(53\) 3.49910 + 6.06061i 0.480638 + 0.832489i 0.999753 0.0222148i \(-0.00707177\pi\)
−0.519115 + 0.854704i \(0.673738\pi\)
\(54\) −10.7932 + 6.23146i −1.46877 + 0.847994i
\(55\) 4.59931 0.620171
\(56\) 0.384510 + 0.665991i 0.0513823 + 0.0889968i
\(57\) 9.28572 5.36111i 1.22992 0.710097i
\(58\) 13.0388 + 7.52796i 1.71208 + 0.988470i
\(59\) −4.53505 + 2.61831i −0.590413 + 0.340875i −0.765261 0.643720i \(-0.777390\pi\)
0.174848 + 0.984596i \(0.444057\pi\)
\(60\) 4.86521i 0.628096i
\(61\) −3.35189 + 5.80565i −0.429166 + 0.743337i −0.996799 0.0799443i \(-0.974526\pi\)
0.567633 + 0.823281i \(0.307859\pi\)
\(62\) −6.51982 + 10.3905i −0.828018 + 1.31960i
\(63\) −0.356101 + 0.205595i −0.0448645 + 0.0259025i
\(64\) 12.7503 1.59379
\(65\) −4.31515 + 0.570767i −0.535228 + 0.0707949i
\(66\) 11.8528 1.45897
\(67\) −10.3915 5.99952i −1.26952 0.732957i −0.294622 0.955614i \(-0.595194\pi\)
−0.974897 + 0.222656i \(0.928527\pi\)
\(68\) −4.36711 −0.529590
\(69\) 2.95843 + 5.12415i 0.356153 + 0.616875i
\(70\) 1.08721i 0.129947i
\(71\) 13.5515i 1.60827i −0.594446 0.804136i \(-0.702629\pi\)
0.594446 0.804136i \(-0.297371\pi\)
\(72\) 1.89245i 0.223027i
\(73\) −7.85421 + 4.53463i −0.919265 + 0.530738i −0.883401 0.468618i \(-0.844752\pi\)
−0.0358648 + 0.999357i \(0.511419\pi\)
\(74\) 2.89153 + 5.00828i 0.336134 + 0.582201i
\(75\) 2.50128 4.33235i 0.288823 0.500256i
\(76\) 21.6698i 2.48570i
\(77\) 1.55733 0.177474
\(78\) −11.1205 + 1.47091i −1.25914 + 0.166548i
\(79\) −4.23871 + 7.34166i −0.476892 + 0.826001i −0.999649 0.0264803i \(-0.991570\pi\)
0.522757 + 0.852482i \(0.324903\pi\)
\(80\) 1.63411 + 0.943454i 0.182699 + 0.105481i
\(81\) −4.97036 −0.552262
\(82\) 10.3243 1.14013
\(83\) −1.33245 + 0.769289i −0.146255 + 0.0844404i −0.571342 0.820712i \(-0.693577\pi\)
0.425087 + 0.905153i \(0.360244\pi\)
\(84\) 1.64736i 0.179742i
\(85\) −1.59983 0.923663i −0.173526 0.100185i
\(86\) 17.3204 + 9.99992i 1.86770 + 1.07832i
\(87\) 4.82506 + 8.35724i 0.517300 + 0.895990i
\(88\) −3.58371 + 6.20716i −0.382024 + 0.661685i
\(89\) −3.18964 + 1.84154i −0.338101 + 0.195203i −0.659432 0.751764i \(-0.729203\pi\)
0.321331 + 0.946967i \(0.395870\pi\)
\(90\) 1.33774 2.31703i 0.141010 0.244236i
\(91\) −1.46111 + 0.193262i −0.153166 + 0.0202594i
\(92\) −11.9581 −1.24671
\(93\) −6.94894 + 3.67814i −0.720571 + 0.381405i
\(94\) 14.4094 + 24.9578i 1.48621 + 2.57420i
\(95\) −4.58325 + 7.93843i −0.470232 + 0.814466i
\(96\) 8.81264 + 5.08798i 0.899436 + 0.519290i
\(97\) −7.94336 4.58610i −0.806526 0.465648i 0.0392222 0.999231i \(-0.487512\pi\)
−0.845748 + 0.533583i \(0.820845\pi\)
\(98\) 15.0540i 1.52068i
\(99\) −3.31892 1.91618i −0.333564 0.192584i
\(100\) 5.05513 + 8.75574i 0.505513 + 0.875574i
\(101\) 3.57786 + 6.19703i 0.356010 + 0.616627i 0.987290 0.158927i \(-0.0508036\pi\)
−0.631280 + 0.775555i \(0.717470\pi\)
\(102\) −4.12289 2.38035i −0.408226 0.235690i
\(103\) 2.66601 + 4.61766i 0.262690 + 0.454992i 0.966956 0.254944i \(-0.0820571\pi\)
−0.704266 + 0.709936i \(0.748724\pi\)
\(104\) 2.59199 6.26839i 0.254166 0.614666i
\(105\) −0.348425 + 0.603489i −0.0340028 + 0.0588945i
\(106\) −13.3525 7.70907i −1.29691 0.748771i
\(107\) 6.99764 0.676487 0.338244 0.941059i \(-0.390167\pi\)
0.338244 + 0.941059i \(0.390167\pi\)
\(108\) 8.07206 13.9812i 0.776734 1.34534i
\(109\) 12.6105i 1.20787i −0.797034 0.603934i \(-0.793599\pi\)
0.797034 0.603934i \(-0.206401\pi\)
\(110\) −8.77545 + 5.06651i −0.836706 + 0.483072i
\(111\) 3.70667i 0.351821i
\(112\) 0.553311 + 0.319454i 0.0522829 + 0.0301856i
\(113\) −4.62237 −0.434836 −0.217418 0.976079i \(-0.569763\pi\)
−0.217418 + 0.976079i \(0.569763\pi\)
\(114\) −11.8114 + 20.4579i −1.10624 + 1.91606i
\(115\) −4.38067 2.52918i −0.408500 0.235848i
\(116\) −19.5030 −1.81081
\(117\) 3.35166 + 1.38592i 0.309861 + 0.128128i
\(118\) 5.76856 9.99144i 0.531039 0.919787i
\(119\) −0.541704 0.312753i −0.0496579 0.0286700i
\(120\) −1.60358 2.77748i −0.146386 0.253548i
\(121\) 1.75730 + 3.04373i 0.159754 + 0.276703i
\(122\) 14.7695i 1.33717i
\(123\) 5.73081 + 3.30868i 0.516730 + 0.298334i
\(124\) 0.584292 15.8792i 0.0524710 1.42599i
\(125\) 10.3129i 0.922412i
\(126\) 0.452958 0.784547i 0.0403527 0.0698930i
\(127\) 9.57346 0.849507 0.424754 0.905309i \(-0.360361\pi\)
0.424754 + 0.905309i \(0.360361\pi\)
\(128\) −11.8461 + 6.83934i −1.04706 + 0.604518i
\(129\) 6.40946 + 11.1015i 0.564321 + 0.977433i
\(130\) 7.60452 5.84250i 0.666961 0.512421i
\(131\) 6.07602 10.5240i 0.530864 0.919484i −0.468487 0.883470i \(-0.655201\pi\)
0.999351 0.0360137i \(-0.0114660\pi\)
\(132\) −13.2967 + 7.67687i −1.15733 + 0.668186i
\(133\) −1.55189 + 2.68796i −0.134566 + 0.233075i
\(134\) 26.4358 2.28370
\(135\) 5.91418 3.41455i 0.509011 0.293878i
\(136\) 2.49312 1.43941i 0.213784 0.123428i
\(137\) 16.9076i 1.44451i 0.691624 + 0.722257i \(0.256895\pi\)
−0.691624 + 0.722257i \(0.743105\pi\)
\(138\) −11.2893 6.51789i −0.961011 0.554840i
\(139\) −1.54074 + 2.66864i −0.130684 + 0.226351i −0.923940 0.382536i \(-0.875051\pi\)
0.793256 + 0.608888i \(0.208384\pi\)
\(140\) −0.704172 1.21966i −0.0595134 0.103080i
\(141\) 18.4714i 1.55557i
\(142\) 14.9281 + 25.8562i 1.25274 + 2.16981i
\(143\) −8.36883 10.8928i −0.699837 0.910899i
\(144\) −0.786131 1.36162i −0.0655109 0.113468i
\(145\) −7.14467 4.12498i −0.593332 0.342561i
\(146\) 9.99051 17.3041i 0.826821 1.43210i
\(147\) 4.82444 8.35617i 0.397913 0.689205i
\(148\) −6.48760 3.74562i −0.533277 0.307888i
\(149\) 11.7973 6.81118i 0.966474 0.557994i 0.0683144 0.997664i \(-0.478238\pi\)
0.898159 + 0.439670i \(0.144905\pi\)
\(150\) 11.0214i 0.899897i
\(151\) 6.03805i 0.491369i −0.969350 0.245685i \(-0.920987\pi\)
0.969350 0.245685i \(-0.0790128\pi\)
\(152\) −7.14239 12.3710i −0.579325 1.00342i
\(153\) 0.769640 + 1.33306i 0.0622217 + 0.107771i
\(154\) −2.97137 + 1.71552i −0.239440 + 0.138241i
\(155\) 3.57256 5.69354i 0.286955 0.457316i
\(156\) 11.5225 8.85267i 0.922540 0.708781i
\(157\) −17.7489 −1.41652 −0.708258 0.705954i \(-0.750519\pi\)
−0.708258 + 0.705954i \(0.750519\pi\)
\(158\) 18.6771i 1.48587i
\(159\) −4.94114 8.55831i −0.391858 0.678718i
\(160\) −8.69950 −0.687756
\(161\) −1.48330 0.856383i −0.116900 0.0674924i
\(162\) 9.48340 5.47524i 0.745086 0.430176i
\(163\) 17.5075 + 10.1080i 1.37129 + 0.791717i 0.991091 0.133187i \(-0.0425210\pi\)
0.380202 + 0.924903i \(0.375854\pi\)
\(164\) −11.5821 + 6.68690i −0.904407 + 0.522159i
\(165\) −6.49477 −0.505617
\(166\) 1.69487 2.93559i 0.131547 0.227846i
\(167\) 10.3059i 0.797498i −0.917060 0.398749i \(-0.869445\pi\)
0.917060 0.398749i \(-0.130555\pi\)
\(168\) −0.542974 0.940458i −0.0418913 0.0725579i
\(169\) 9.20355 + 9.18121i 0.707965 + 0.706247i
\(170\) 4.06996 0.312151
\(171\) 6.61468 3.81899i 0.505837 0.292045i
\(172\) −25.9072 −1.97541
\(173\) −8.74541 −0.664901 −0.332451 0.943121i \(-0.607876\pi\)
−0.332451 + 0.943121i \(0.607876\pi\)
\(174\) −18.4123 10.6304i −1.39584 0.805886i
\(175\) 1.44810i 0.109466i
\(176\) 5.95474i 0.448855i
\(177\) 6.40403 3.69737i 0.481356 0.277911i
\(178\) 4.05720 7.02728i 0.304100 0.526717i
\(179\) 15.1640 1.13341 0.566705 0.823921i \(-0.308218\pi\)
0.566705 + 0.823921i \(0.308218\pi\)
\(180\) 3.46573i 0.258321i
\(181\) 7.82357 + 13.5508i 0.581521 + 1.00722i 0.995299 + 0.0968464i \(0.0308756\pi\)
−0.413778 + 0.910378i \(0.635791\pi\)
\(182\) 2.57490 1.97827i 0.190864 0.146639i
\(183\) 4.73327 8.19826i 0.349893 0.606033i
\(184\) 6.82670 3.94139i 0.503271 0.290563i
\(185\) −1.58443 2.74431i −0.116489 0.201766i
\(186\) 9.20676 14.6727i 0.675072 1.07585i
\(187\) 5.82983i 0.426320i
\(188\) −32.3296 18.6655i −2.35788 1.36132i
\(189\) 2.00254 1.15617i 0.145664 0.0840989i
\(190\) 20.1953i 1.46512i
\(191\) 15.5656 1.12629 0.563144 0.826359i \(-0.309592\pi\)
0.563144 + 0.826359i \(0.309592\pi\)
\(192\) −18.0050 −1.29940
\(193\) 13.1117i 0.943798i −0.881653 0.471899i \(-0.843569\pi\)
0.881653 0.471899i \(-0.156431\pi\)
\(194\) 20.2078 1.45084
\(195\) 6.09350 0.805991i 0.436364 0.0577182i
\(196\) 9.75026 + 16.8880i 0.696447 + 1.20628i
\(197\) −17.8827 10.3246i −1.27409 0.735597i −0.298336 0.954461i \(-0.596431\pi\)
−0.975755 + 0.218864i \(0.929765\pi\)
\(198\) 8.44331 0.600040
\(199\) 5.31690 0.376905 0.188453 0.982082i \(-0.439653\pi\)
0.188453 + 0.982082i \(0.439653\pi\)
\(200\) −5.77181 3.33236i −0.408129 0.235633i
\(201\) 14.6740 + 8.47202i 1.03502 + 0.597571i
\(202\) −13.6530 7.88259i −0.960625 0.554617i
\(203\) −2.41919 1.39672i −0.169794 0.0980305i
\(204\) 6.16688 0.431768
\(205\) −5.65724 −0.395118
\(206\) −10.1734 5.87364i −0.708818 0.409236i
\(207\) 2.10744 + 3.65019i 0.146477 + 0.253705i
\(208\) −0.738974 5.58683i −0.0512386 0.387377i
\(209\) −28.9279 −2.00098
\(210\) 1.53527i 0.105944i
\(211\) −24.2981 −1.67275 −0.836377 0.548155i \(-0.815330\pi\)
−0.836377 + 0.548155i \(0.815330\pi\)
\(212\) 19.9722 1.37170
\(213\) 19.1364i 1.31120i
\(214\) −13.3514 + 7.70846i −0.912686 + 0.526939i
\(215\) −9.49076 5.47949i −0.647265 0.373698i
\(216\) 10.6422i 0.724113i
\(217\) 1.20967 1.92784i 0.0821179 0.130870i
\(218\) 13.8915 + 24.0608i 0.940851 + 1.62960i
\(219\) 11.0911 6.40343i 0.749465 0.432704i
\(220\) 6.56301 11.3675i 0.442478 0.766395i
\(221\) 0.723473 + 5.46964i 0.0486661 + 0.367928i
\(222\) −4.08319 7.07229i −0.274046 0.474661i
\(223\) 5.20404i 0.348488i −0.984702 0.174244i \(-0.944252\pi\)
0.984702 0.174244i \(-0.0557482\pi\)
\(224\) −2.94566 −0.196815
\(225\) 1.78179 3.08615i 0.118786 0.205743i
\(226\) 8.81944 5.09191i 0.586660 0.338709i
\(227\) 28.1720i 1.86984i 0.354855 + 0.934921i \(0.384530\pi\)
−0.354855 + 0.934921i \(0.615470\pi\)
\(228\) 30.6003i 2.02655i
\(229\) 9.42110 + 5.43928i 0.622564 + 0.359438i 0.777867 0.628429i \(-0.216302\pi\)
−0.155303 + 0.987867i \(0.549635\pi\)
\(230\) 11.1444 0.734839
\(231\) −2.19913 −0.144692
\(232\) 11.1340 6.42823i 0.730984 0.422034i
\(233\) −2.91378 −0.190888 −0.0954440 0.995435i \(-0.530427\pi\)
−0.0954440 + 0.995435i \(0.530427\pi\)
\(234\) −7.92165 + 1.04780i −0.517855 + 0.0684970i
\(235\) −7.89568 13.6757i −0.515057 0.892105i
\(236\) 14.9449i 0.972829i
\(237\) 5.98556 10.3673i 0.388804 0.673428i
\(238\) 1.37809 0.0893283
\(239\) −17.0031 + 9.81675i −1.09984 + 0.634993i −0.936179 0.351524i \(-0.885664\pi\)
−0.163661 + 0.986517i \(0.552330\pi\)
\(240\) −2.30756 1.33227i −0.148952 0.0859975i
\(241\) 5.16046 2.97939i 0.332415 0.191920i −0.324498 0.945886i \(-0.605195\pi\)
0.656913 + 0.753967i \(0.271862\pi\)
\(242\) −6.70582 3.87161i −0.431066 0.248876i
\(243\) −9.95178 −0.638407
\(244\) 9.56601 + 16.5688i 0.612401 + 1.06071i
\(245\) 8.24889i 0.527002i
\(246\) −14.5791 −0.929531
\(247\) 27.1406 3.58990i 1.72691 0.228420i
\(248\) 4.90023 + 9.25779i 0.311165 + 0.587870i
\(249\) 1.88157 1.08633i 0.119240 0.0688431i
\(250\) −11.3605 19.6769i −0.718499 1.24448i
\(251\) 7.12466 + 12.3403i 0.449705 + 0.778911i 0.998367 0.0571331i \(-0.0181959\pi\)
−0.548662 + 0.836044i \(0.684863\pi\)
\(252\) 1.17350i 0.0739235i
\(253\) 15.9633i 1.00360i
\(254\) −18.2661 + 10.5459i −1.14612 + 0.661711i
\(255\) 2.25915 + 1.30432i 0.141474 + 0.0816798i
\(256\) 2.31783 4.01459i 0.144864 0.250912i
\(257\) −1.10895 + 1.92076i −0.0691745 + 0.119814i −0.898538 0.438895i \(-0.855370\pi\)
0.829364 + 0.558709i \(0.188703\pi\)
\(258\) −24.4584 14.1211i −1.52271 0.879139i
\(259\) −0.536488 0.929225i −0.0333358 0.0577392i
\(260\) −4.74684 + 11.4796i −0.294387 + 0.711935i
\(261\) 3.43713 + 5.95328i 0.212753 + 0.368499i
\(262\) 26.7729i 1.65403i
\(263\) 6.85718 + 11.8770i 0.422832 + 0.732366i 0.996215 0.0869209i \(-0.0277027\pi\)
−0.573383 + 0.819287i \(0.694369\pi\)
\(264\) 5.06062 8.76524i 0.311459 0.539463i
\(265\) 7.31656 + 4.22422i 0.449453 + 0.259492i
\(266\) 6.83814i 0.419273i
\(267\) 4.50414 2.60047i 0.275649 0.159146i
\(268\) −29.6563 + 17.1221i −1.81155 + 1.04590i
\(269\) −0.585139 −0.0356765 −0.0178383 0.999841i \(-0.505678\pi\)
−0.0178383 + 0.999841i \(0.505678\pi\)
\(270\) −7.52280 + 13.0299i −0.457823 + 0.792973i
\(271\) 6.28138 3.62656i 0.381567 0.220298i −0.296933 0.954898i \(-0.595964\pi\)
0.678500 + 0.734601i \(0.262630\pi\)
\(272\) 1.19587 2.07131i 0.0725103 0.125591i
\(273\) 2.06326 0.272909i 0.124874 0.0165172i
\(274\) −18.6251 32.2596i −1.12518 1.94887i
\(275\) −11.6884 + 6.74829i −0.704836 + 0.406937i
\(276\) 16.8862 1.01643
\(277\) −2.71505 + 4.70261i −0.163132 + 0.282552i −0.935990 0.352026i \(-0.885493\pi\)
0.772859 + 0.634578i \(0.218826\pi\)
\(278\) 6.78900i 0.407177i
\(279\) −4.95007 + 2.62012i −0.296353 + 0.156862i
\(280\) 0.804004 + 0.464192i 0.0480485 + 0.0277408i
\(281\) 27.8131i 1.65919i −0.558363 0.829597i \(-0.688570\pi\)
0.558363 0.829597i \(-0.311430\pi\)
\(282\) −20.3477 35.2433i −1.21169 2.09871i
\(283\) 1.43815 + 2.49095i 0.0854893 + 0.148072i 0.905600 0.424134i \(-0.139421\pi\)
−0.820110 + 0.572205i \(0.806088\pi\)
\(284\) −33.4934 19.3375i −1.98747 1.14747i
\(285\) 6.47210 11.2100i 0.383374 0.664023i
\(286\) 27.9669 + 11.5644i 1.65372 + 0.683816i
\(287\) −1.91554 −0.113071
\(288\) 6.27768 + 3.62442i 0.369916 + 0.213571i
\(289\) 7.32922 12.6946i 0.431130 0.746740i
\(290\) 18.1760 1.06733
\(291\) 11.2170 + 6.47612i 0.657550 + 0.379637i
\(292\) 25.8829i 1.51468i
\(293\) 3.44488 1.98890i 0.201252 0.116193i −0.395987 0.918256i \(-0.629598\pi\)
0.597239 + 0.802063i \(0.296264\pi\)
\(294\) 21.2580i 1.23979i
\(295\) −3.16091 + 5.47485i −0.184035 + 0.318758i
\(296\) 4.93824 0.287029
\(297\) 18.6641 + 10.7757i 1.08300 + 0.625270i
\(298\) −15.0061 + 25.9914i −0.869282 + 1.50564i
\(299\) 1.98102 + 14.9770i 0.114565 + 0.866144i
\(300\) −7.13844 12.3641i −0.412138 0.713844i
\(301\) −3.21358 1.85536i −0.185228 0.106941i
\(302\) 6.65139 + 11.5205i 0.382745 + 0.662933i
\(303\) −5.05236 8.75094i −0.290250 0.502728i
\(304\) −10.2779 5.93396i −0.589479 0.340336i
\(305\) 8.09301i 0.463405i
\(306\) −2.93694 1.69564i −0.167893 0.0969333i
\(307\) 25.6096 + 14.7857i 1.46162 + 0.843865i 0.999086 0.0427383i \(-0.0136082\pi\)
0.462531 + 0.886603i \(0.346942\pi\)
\(308\) 2.22224 3.84903i 0.126624 0.219319i
\(309\) −3.76472 6.52069i −0.214167 0.370949i
\(310\) −0.544534 + 14.7987i −0.0309275 + 0.840509i
\(311\) 1.54993 0.0878882 0.0439441 0.999034i \(-0.486008\pi\)
0.0439441 + 0.999034i \(0.486008\pi\)
\(312\) −3.66020 + 8.85171i −0.207218 + 0.501129i
\(313\) −0.981394 + 1.69982i −0.0554717 + 0.0960797i −0.892428 0.451190i \(-0.851000\pi\)
0.836956 + 0.547270i \(0.184333\pi\)
\(314\) 33.8647 19.5518i 1.91110 1.10337i
\(315\) −0.248200 + 0.429896i −0.0139845 + 0.0242219i
\(316\) 12.0969 + 20.9525i 0.680504 + 1.17867i
\(317\) 6.19410 + 3.57616i 0.347895 + 0.200857i 0.663758 0.747948i \(-0.268961\pi\)
−0.315863 + 0.948805i \(0.602294\pi\)
\(318\) 18.8553 + 10.8861i 1.05735 + 0.610463i
\(319\) 26.0354i 1.45770i
\(320\) 13.3304 7.69629i 0.745190 0.430236i
\(321\) −9.88149 −0.551531
\(322\) 3.77350 0.210289
\(323\) 10.0623 + 5.80948i 0.559882 + 0.323248i
\(324\) −7.09248 + 12.2845i −0.394027 + 0.682474i
\(325\) 10.1288 7.78187i 0.561844 0.431660i
\(326\) −44.5389 −2.46678
\(327\) 17.8075i 0.984760i
\(328\) 4.40802 7.63492i 0.243392 0.421568i
\(329\) −2.67348 4.63060i −0.147394 0.255293i
\(330\) 12.3920 7.15451i 0.682155 0.393843i
\(331\) 18.0787i 0.993698i 0.867837 + 0.496849i \(0.165510\pi\)
−0.867837 + 0.496849i \(0.834490\pi\)
\(332\) 4.39097i 0.240986i
\(333\) 2.64044i 0.144695i
\(334\) 11.3528 + 19.6637i 0.621199 + 1.07595i
\(335\) −14.4856 −0.791432
\(336\) −0.781340 0.451107i −0.0426256 0.0246099i
\(337\) −19.4434 −1.05915 −0.529575 0.848263i \(-0.677648\pi\)
−0.529575 + 0.848263i \(0.677648\pi\)
\(338\) −27.6741 7.37923i −1.50528 0.401377i
\(339\) 6.52733 0.354516
\(340\) −4.56578 + 2.63605i −0.247614 + 0.142960i
\(341\) 21.1977 + 0.779995i 1.14792 + 0.0422391i
\(342\) −8.41384 + 14.5732i −0.454968 + 0.788028i
\(343\) 5.65446i 0.305312i
\(344\) 14.7901 8.53906i 0.797428 0.460395i
\(345\) 6.18603 + 3.57151i 0.333045 + 0.192283i
\(346\) 16.6862 9.63377i 0.897055 0.517915i
\(347\) 4.43538 + 7.68230i 0.238104 + 0.412407i 0.960170 0.279416i \(-0.0901409\pi\)
−0.722067 + 0.691824i \(0.756808\pi\)
\(348\) 27.5406 1.47633
\(349\) 10.7475 6.20506i 0.575300 0.332149i −0.183964 0.982933i \(-0.558893\pi\)
0.759263 + 0.650784i \(0.225560\pi\)
\(350\) −1.59520 2.76297i −0.0852671 0.147687i
\(351\) −18.8482 7.79377i −1.00604 0.416000i
\(352\) −13.7270 23.7759i −0.731653 1.26726i
\(353\) 14.3292i 0.762664i 0.924438 + 0.381332i \(0.124535\pi\)
−0.924438 + 0.381332i \(0.875465\pi\)
\(354\) −8.14589 + 14.1091i −0.432949 + 0.749890i
\(355\) −8.17991 14.1680i −0.434145 0.751960i
\(356\) 10.5112i 0.557091i
\(357\) 0.764950 + 0.441644i 0.0404855 + 0.0233743i
\(358\) −28.9328 + 16.7043i −1.52914 + 0.882852i
\(359\) −13.8891 + 8.01888i −0.733039 + 0.423220i −0.819533 0.573032i \(-0.805767\pi\)
0.0864942 + 0.996252i \(0.472434\pi\)
\(360\) −1.14231 1.97854i −0.0602051 0.104278i
\(361\) 19.3269 33.4751i 1.01720 1.76185i
\(362\) −29.8546 17.2366i −1.56912 0.905934i
\(363\) −2.48151 4.29810i −0.130246 0.225592i
\(364\) −1.60728 + 3.88700i −0.0842445 + 0.203734i
\(365\) −5.47434 + 9.48184i −0.286540 + 0.496302i
\(366\) 20.8563i 1.09018i
\(367\) −10.4993 + 18.1852i −0.548057 + 0.949262i 0.450351 + 0.892852i \(0.351299\pi\)
−0.998408 + 0.0564106i \(0.982034\pi\)
\(368\) 3.27454 5.67167i 0.170697 0.295656i
\(369\) 4.08234 + 2.35694i 0.212518 + 0.122697i
\(370\) 6.04615 + 3.49075i 0.314325 + 0.181475i
\(371\) 2.47739 + 1.43032i 0.128620 + 0.0742586i
\(372\) −0.825089 + 22.4233i −0.0427789 + 1.16259i
\(373\) 12.9793 22.4808i 0.672042 1.16401i −0.305282 0.952262i \(-0.598751\pi\)
0.977324 0.211749i \(-0.0679159\pi\)
\(374\) 6.42203 + 11.1233i 0.332075 + 0.575171i
\(375\) 14.5630i 0.752030i
\(376\) 24.6087 1.26910
\(377\) 3.23095 + 24.4268i 0.166402 + 1.25804i
\(378\) −2.54723 + 4.41192i −0.131015 + 0.226925i
\(379\) 12.9038i 0.662826i −0.943486 0.331413i \(-0.892475\pi\)
0.943486 0.331413i \(-0.107525\pi\)
\(380\) 13.0802 + 22.6556i 0.671001 + 1.16221i
\(381\) −13.5189 −0.692592
\(382\) −29.6991 + 17.1468i −1.51954 + 0.877305i
\(383\) 27.8272i 1.42190i −0.703241 0.710952i \(-0.748264\pi\)
0.703241 0.710952i \(-0.251736\pi\)
\(384\) 16.7281 9.65795i 0.853650 0.492855i
\(385\) 1.62817 0.940027i 0.0829795 0.0479082i
\(386\) 14.4435 + 25.0169i 0.735157 + 1.27333i
\(387\) 4.56578 + 7.90816i 0.232091 + 0.401994i
\(388\) −22.6697 + 13.0883i −1.15088 + 0.664459i
\(389\) 1.33178 2.30671i 0.0675238 0.116955i −0.830287 0.557336i \(-0.811823\pi\)
0.897811 + 0.440382i \(0.145157\pi\)
\(390\) −10.7385 + 8.25030i −0.543764 + 0.417770i
\(391\) −3.20585 + 5.55270i −0.162127 + 0.280812i
\(392\) −11.1326 6.42740i −0.562280 0.324633i
\(393\) −8.58006 + 14.8611i −0.432807 + 0.749643i
\(394\) 45.4935 2.29193
\(395\) 10.2342i 0.514938i
\(396\) −9.47192 + 5.46862i −0.475982 + 0.274808i
\(397\) −7.70036 + 4.44581i −0.386470 + 0.223129i −0.680630 0.732628i \(-0.738294\pi\)
0.294159 + 0.955756i \(0.404960\pi\)
\(398\) −10.1446 + 5.85700i −0.508504 + 0.293585i
\(399\) 2.19146 3.79571i 0.109710 0.190023i
\(400\) −5.53709 −0.276855
\(401\) −7.05934 + 4.07571i −0.352527 + 0.203531i −0.665798 0.746132i \(-0.731909\pi\)
0.313271 + 0.949664i \(0.398575\pi\)
\(402\) −37.3305 −1.86187
\(403\) −19.9849 + 1.89880i −0.995517 + 0.0945861i
\(404\) 20.4218 1.01602
\(405\) −5.19647 + 3.00018i −0.258214 + 0.149080i
\(406\) 6.15439 0.305437
\(407\) 5.00017 8.66055i 0.247849 0.429288i
\(408\) −3.52059 + 2.03261i −0.174295 + 0.100629i
\(409\) −3.25541 + 1.87951i −0.160970 + 0.0929358i −0.578321 0.815809i \(-0.696292\pi\)
0.417351 + 0.908745i \(0.362958\pi\)
\(410\) 10.7940 6.23190i 0.533076 0.307771i
\(411\) 23.8755i 1.17769i
\(412\) 15.2171 0.749693
\(413\) −1.07029 + 1.85379i −0.0526653 + 0.0912189i
\(414\) −8.04194 4.64302i −0.395240 0.228192i
\(415\) −0.928708 + 1.60857i −0.0455885 + 0.0789616i
\(416\) 15.8295 + 20.6035i 0.776104 + 1.01017i
\(417\) 2.17571 3.76844i 0.106545 0.184541i
\(418\) 55.1941 31.8664i 2.69963 1.55863i
\(419\) −15.1895 26.3089i −0.742054 1.28527i −0.951559 0.307467i \(-0.900519\pi\)
0.209505 0.977808i \(-0.432815\pi\)
\(420\) 0.994374 + 1.72231i 0.0485205 + 0.0840400i
\(421\) −8.52900 + 4.92422i −0.415678 + 0.239992i −0.693226 0.720720i \(-0.743811\pi\)
0.277548 + 0.960712i \(0.410478\pi\)
\(422\) 46.3607 26.7663i 2.25680 1.30297i
\(423\) 13.1581i 0.639769i
\(424\) −11.4019 + 6.58288i −0.553724 + 0.319693i
\(425\) 5.42095 0.262955
\(426\) −21.0802 36.5120i −1.02134 1.76901i
\(427\) 2.74030i 0.132612i
\(428\) 9.98533 17.2951i 0.482659 0.835990i
\(429\) 11.8178 + 15.3819i 0.570568 + 0.742644i
\(430\) 24.1444 1.16435
\(431\) 2.03115i 0.0978371i −0.998803 0.0489185i \(-0.984423\pi\)
0.998803 0.0489185i \(-0.0155775\pi\)
\(432\) 4.42083 + 7.65711i 0.212697 + 0.368403i
\(433\) −8.23709 + 14.2671i −0.395849 + 0.685631i −0.993209 0.116342i \(-0.962883\pi\)
0.597360 + 0.801973i \(0.296216\pi\)
\(434\) −0.184380 + 5.01084i −0.00885051 + 0.240528i
\(435\) 10.0891 + 5.82495i 0.483736 + 0.279285i
\(436\) −31.1677 17.9947i −1.49266 0.861788i
\(437\) 27.5527 + 15.9076i 1.31803 + 0.760963i
\(438\) −14.1078 + 24.4354i −0.674096 + 1.16757i
\(439\) −6.35212 + 11.0022i −0.303170 + 0.525106i −0.976852 0.213915i \(-0.931378\pi\)
0.673682 + 0.739021i \(0.264712\pi\)
\(440\) 8.65271i 0.412502i
\(441\) 3.43669 5.95252i 0.163652 0.283453i
\(442\) −7.40563 9.63907i −0.352250 0.458484i
\(443\) 9.71867 + 16.8332i 0.461748 + 0.799771i 0.999048 0.0436199i \(-0.0138891\pi\)
−0.537300 + 0.843391i \(0.680556\pi\)
\(444\) 9.16125 + 5.28925i 0.434774 + 0.251017i
\(445\) −2.22316 + 3.85063i −0.105388 + 0.182537i
\(446\) 5.73267 + 9.92927i 0.271450 + 0.470165i
\(447\) −16.6592 + 9.61820i −0.787953 + 0.454925i
\(448\) 4.51367 2.60597i 0.213251 0.123120i
\(449\) −7.36531 4.25236i −0.347591 0.200681i 0.316033 0.948748i \(-0.397649\pi\)
−0.663624 + 0.748067i \(0.730982\pi\)
\(450\) 7.85112i 0.370106i
\(451\) −8.92661 15.4613i −0.420338 0.728046i
\(452\) −6.59592 + 11.4245i −0.310246 + 0.537362i
\(453\) 8.52644i 0.400607i
\(454\) −31.0337 53.7520i −1.45649 2.52271i
\(455\) −1.41092 + 1.08400i −0.0661452 + 0.0508188i
\(456\) 10.0859 + 17.4693i 0.472316 + 0.818075i
\(457\) 5.84653 3.37550i 0.273489 0.157899i −0.356983 0.934111i \(-0.616195\pi\)
0.630472 + 0.776212i \(0.282861\pi\)
\(458\) −23.9672 −1.11991
\(459\) −4.32810 7.49649i −0.202018 0.349906i
\(460\) −12.5021 + 7.21807i −0.582912 + 0.336544i
\(461\) 19.4448 + 11.2264i 0.905633 + 0.522868i 0.879024 0.476778i \(-0.158196\pi\)
0.0266097 + 0.999646i \(0.491529\pi\)
\(462\) 4.19593 2.42252i 0.195212 0.112706i
\(463\) 26.2858i 1.22161i −0.791783 0.610803i \(-0.790847\pi\)
0.791783 0.610803i \(-0.209153\pi\)
\(464\) 5.34062 9.25023i 0.247932 0.429431i
\(465\) −5.04488 + 8.03995i −0.233951 + 0.372844i
\(466\) 5.55947 3.20976i 0.257537 0.148689i
\(467\) 31.0290 1.43585 0.717924 0.696121i \(-0.245092\pi\)
0.717924 + 0.696121i \(0.245092\pi\)
\(468\) 8.20807 6.30620i 0.379418 0.291504i
\(469\) −4.90483 −0.226484
\(470\) 30.1298 + 17.3954i 1.38978 + 0.802392i
\(471\) 25.0635 1.15487
\(472\) −4.92585 8.53183i −0.226731 0.392709i
\(473\) 34.5846i 1.59020i
\(474\) 26.3743i 1.21141i
\(475\) 26.8990i 1.23421i
\(476\) −1.54598 + 0.892570i −0.0708597 + 0.0409109i
\(477\) −3.51982 6.09651i −0.161161 0.279140i
\(478\) 21.6279 37.4606i 0.989236 1.71341i
\(479\) 32.8202i 1.49959i −0.661669 0.749796i \(-0.730152\pi\)
0.661669 0.749796i \(-0.269848\pi\)
\(480\) 12.2847 0.560718
\(481\) −3.61648 + 8.74598i −0.164897 + 0.398782i
\(482\) −6.56408 + 11.3693i −0.298986 + 0.517858i
\(483\) 2.09459 + 1.20931i 0.0953073 + 0.0550257i
\(484\) 10.0303 0.455925
\(485\) −11.0730 −0.502797
\(486\) 18.9879 10.9627i 0.861309 0.497277i
\(487\) 33.6674i 1.52562i −0.646625 0.762808i \(-0.723820\pi\)
0.646625 0.762808i \(-0.276180\pi\)
\(488\) −10.9222 6.30594i −0.494425 0.285457i
\(489\) −24.7227 14.2736i −1.11800 0.645476i
\(490\) −9.08681 15.7388i −0.410500 0.711008i
\(491\) 4.86090 8.41932i 0.219369 0.379959i −0.735246 0.677800i \(-0.762933\pi\)
0.954615 + 0.297842i \(0.0962667\pi\)
\(492\) 16.3552 9.44270i 0.737351 0.425710i
\(493\) −5.22859 + 9.05619i −0.235484 + 0.407870i
\(494\) −47.8295 + 36.7470i −2.15195 + 1.65333i
\(495\) −4.62655 −0.207948
\(496\) 7.37144 + 4.62541i 0.330987 + 0.207687i
\(497\) −2.76972 4.79730i −0.124239 0.215188i
\(498\) −2.39335 + 4.14541i −0.107249 + 0.185760i
\(499\) 15.8685 + 9.16169i 0.710372 + 0.410134i 0.811199 0.584770i \(-0.198815\pi\)
−0.100826 + 0.994904i \(0.532149\pi\)
\(500\) 25.4889 + 14.7160i 1.13990 + 0.658121i
\(501\) 14.5532i 0.650189i
\(502\) −27.1876 15.6968i −1.21344 0.700581i
\(503\) −10.7193 18.5663i −0.477948 0.827830i 0.521733 0.853109i \(-0.325286\pi\)
−0.999680 + 0.0252790i \(0.991953\pi\)
\(504\) −0.386787 0.669935i −0.0172289 0.0298413i
\(505\) 7.48124 + 4.31930i 0.332911 + 0.192206i
\(506\) 17.5848 + 30.4578i 0.781742 + 1.35402i
\(507\) −12.9965 12.9650i −0.577195 0.575794i
\(508\) 13.6609 23.6614i 0.606105 1.04980i
\(509\) −38.0102 21.9452i −1.68477 0.972703i −0.958412 0.285387i \(-0.907878\pi\)
−0.726358 0.687316i \(-0.758789\pi\)
\(510\) −5.74726 −0.254493
\(511\) −1.85362 + 3.21056i −0.0819991 + 0.142027i
\(512\) 17.1443i 0.757676i
\(513\) −37.1979 + 21.4762i −1.64233 + 0.948197i
\(514\) 4.88640i 0.215530i
\(515\) 5.57458 + 3.21849i 0.245645 + 0.141823i
\(516\) 36.5841 1.61052
\(517\) 24.9173 43.1581i 1.09586 1.89809i
\(518\) 2.04723 + 1.18197i 0.0899502 + 0.0519328i
\(519\) 12.3496 0.542085
\(520\) −1.07379 8.11812i −0.0470887 0.356003i
\(521\) 2.65244 4.59416i 0.116205 0.201274i −0.802056 0.597249i \(-0.796260\pi\)
0.918261 + 0.395976i \(0.129594\pi\)
\(522\) −13.1160 7.57254i −0.574073 0.331441i
\(523\) 4.44162 + 7.69311i 0.194218 + 0.336396i 0.946644 0.322281i \(-0.104450\pi\)
−0.752426 + 0.658677i \(0.771116\pi\)
\(524\) −17.3404 30.0345i −0.757521 1.31206i
\(525\) 2.04489i 0.0892464i
\(526\) −26.1669 15.1075i −1.14093 0.658717i
\(527\) −7.21681 4.52838i −0.314369 0.197259i
\(528\) 8.40880i 0.365946i
\(529\) 2.72170 4.71413i 0.118335 0.204962i
\(530\) −18.6132 −0.808508
\(531\) 4.56191 2.63382i 0.197970 0.114298i
\(532\) 4.42897 + 7.67120i 0.192020 + 0.332589i
\(533\) 10.2938 + 13.3983i 0.445875 + 0.580345i
\(534\) −5.72925 + 9.92335i −0.247929 + 0.429425i
\(535\) 7.31597 4.22388i 0.316297 0.182614i
\(536\) 11.2869 19.5495i 0.487521 0.844412i
\(537\) −21.4133 −0.924054
\(538\) 1.11644 0.644577i 0.0481332 0.0277897i
\(539\) −22.5444 + 13.0160i −0.971056 + 0.560639i
\(540\) 19.4897i 0.838702i
\(541\) −19.3043 11.1454i −0.829958 0.479177i 0.0238800 0.999715i \(-0.492398\pi\)
−0.853838 + 0.520538i \(0.825731\pi\)
\(542\) −7.98989 + 13.8389i −0.343195 + 0.594431i
\(543\) −11.0478 19.1354i −0.474107 0.821177i
\(544\) 11.0270i 0.472779i
\(545\) −7.61190 13.1842i −0.326058 0.564749i
\(546\) −3.63606 + 2.79356i −0.155609 + 0.119553i
\(547\) −11.0169 19.0818i −0.471048 0.815879i 0.528404 0.848993i \(-0.322791\pi\)
−0.999452 + 0.0331143i \(0.989457\pi\)
\(548\) 41.7882 + 24.1264i 1.78510 + 1.03063i
\(549\) 3.37174 5.84003i 0.143902 0.249246i
\(550\) 14.8676 25.7514i 0.633955 1.09804i
\(551\) 44.9372 + 25.9445i 1.91439 + 1.10527i
\(552\) −9.64010 + 5.56572i −0.410310 + 0.236893i
\(553\) 3.46531i 0.147360i
\(554\) 11.9634i 0.508276i
\(555\) 2.23740 + 3.87529i 0.0949723 + 0.164497i
\(556\) 4.39714 + 7.61607i 0.186480 + 0.322993i
\(557\) −7.65238 + 4.41810i −0.324242 + 0.187201i −0.653282 0.757115i \(-0.726608\pi\)
0.329040 + 0.944316i \(0.393275\pi\)
\(558\) 6.55843 10.4521i 0.277640 0.442471i
\(559\) 4.29190 + 32.4478i 0.181528 + 1.37240i
\(560\) 0.771309 0.0325938
\(561\) 8.23241i 0.347573i
\(562\) 30.6384 + 53.0673i 1.29240 + 2.23851i
\(563\) −15.1022 −0.636484 −0.318242 0.948010i \(-0.603092\pi\)
−0.318242 + 0.948010i \(0.603092\pi\)
\(564\) 45.6532 + 26.3579i 1.92235 + 1.10987i
\(565\) −4.83265 + 2.79013i −0.203311 + 0.117382i
\(566\) −5.48797 3.16848i −0.230677 0.133181i
\(567\) −1.75953 + 1.01586i −0.0738932 + 0.0426623i
\(568\) 25.4946 1.06973
\(569\) 9.70215 16.8046i 0.406735 0.704486i −0.587786 0.809016i \(-0.700000\pi\)
0.994522 + 0.104530i \(0.0333338\pi\)
\(570\) 28.5181i 1.19449i
\(571\) 13.9987 + 24.2465i 0.585829 + 1.01469i 0.994772 + 0.102125i \(0.0325643\pi\)
−0.408943 + 0.912560i \(0.634102\pi\)
\(572\) −38.8641 + 5.14058i −1.62499 + 0.214938i
\(573\) −21.9805 −0.918248
\(574\) 3.65484 2.11012i 0.152550 0.0880749i
\(575\) 14.8437 0.619024
\(576\) −12.8258 −0.534410
\(577\) −32.2808 18.6373i −1.34387 0.775882i −0.356495 0.934297i \(-0.616028\pi\)
−0.987373 + 0.158415i \(0.949362\pi\)
\(578\) 32.2949i 1.34329i
\(579\) 18.5152i 0.769466i
\(580\) −20.3903 + 11.7723i −0.846660 + 0.488819i
\(581\) −0.314461 + 0.544663i −0.0130461 + 0.0225964i
\(582\) −28.5358 −1.18285
\(583\) 26.6617i 1.10422i
\(584\) −8.53103 14.7762i −0.353017 0.611443i
\(585\) 4.34070 0.574147i 0.179466 0.0237381i
\(586\) −4.38187 + 7.58963i −0.181014 + 0.313525i
\(587\) −12.4727 + 7.20114i −0.514805 + 0.297223i −0.734807 0.678277i \(-0.762727\pi\)
0.220001 + 0.975500i \(0.429394\pi\)
\(588\) −13.7685 23.8478i −0.567804 0.983466i
\(589\) −22.4700 + 35.8101i −0.925861 + 1.47553i
\(590\) 13.9280i 0.573405i
\(591\) 25.2525 + 14.5795i 1.03875 + 0.599722i
\(592\) 3.55307 2.05136i 0.146030 0.0843106i
\(593\) 17.9076i 0.735376i 0.929949 + 0.367688i \(0.119851\pi\)
−0.929949 + 0.367688i \(0.880149\pi\)
\(594\) −47.4812 −1.94818
\(595\) −0.755130 −0.0309573
\(596\) 38.8771i 1.59247i
\(597\) −7.50810 −0.307286
\(598\) −20.2782 26.3938i −0.829236 1.07932i
\(599\) −12.1731 21.0844i −0.497380 0.861487i 0.502616 0.864510i \(-0.332371\pi\)
−0.999995 + 0.00302296i \(0.999038\pi\)
\(600\) 8.15048 + 4.70568i 0.332742 + 0.192109i
\(601\) −16.2631 −0.663384 −0.331692 0.943388i \(-0.607620\pi\)
−0.331692 + 0.943388i \(0.607620\pi\)
\(602\) 8.17531 0.333201
\(603\) 10.4530 + 6.03504i 0.425679 + 0.245766i
\(604\) −14.9234 8.61603i −0.607225 0.350581i
\(605\) 3.67448 + 2.12146i 0.149389 + 0.0862497i
\(606\) 19.2797 + 11.1311i 0.783185 + 0.452172i
\(607\) −10.5671 −0.428906 −0.214453 0.976734i \(-0.568797\pi\)
−0.214453 + 0.976734i \(0.568797\pi\)
\(608\) 54.7165 2.21905
\(609\) 3.41618 + 1.97233i 0.138431 + 0.0799230i
\(610\) −8.91510 15.4414i −0.360962 0.625204i
\(611\) −18.0220 + 43.5838i −0.729092 + 1.76321i
\(612\) 4.39297 0.177575
\(613\) 44.1924i 1.78491i 0.451132 + 0.892457i \(0.351020\pi\)
−0.451132 + 0.892457i \(0.648980\pi\)
\(614\) −65.1506 −2.62926
\(615\) 7.98869 0.322135
\(616\) 2.92981i 0.118046i
\(617\) 17.1462 9.89939i 0.690282 0.398534i −0.113436 0.993545i \(-0.536186\pi\)
0.803718 + 0.595011i \(0.202852\pi\)
\(618\) 14.3661 + 8.29428i 0.577890 + 0.333645i
\(619\) 1.12625i 0.0452677i −0.999744 0.0226338i \(-0.992795\pi\)
0.999744 0.0226338i \(-0.00720519\pi\)
\(620\) −8.97403 16.9542i −0.360406 0.680898i
\(621\) −11.8512 20.5269i −0.475574 0.823718i
\(622\) −2.95725 + 1.70737i −0.118575 + 0.0684592i
\(623\) −0.752763 + 1.30382i −0.0301588 + 0.0522366i
\(624\) 1.04352 + 7.88927i 0.0417742 + 0.315824i
\(625\) −2.63148 4.55785i −0.105259 0.182314i
\(626\) 4.32434i 0.172835i
\(627\) 40.8496 1.63137
\(628\) −25.3269 + 43.8675i −1.01065 + 1.75050i
\(629\) −3.47854 + 2.00833i −0.138698 + 0.0800775i
\(630\) 1.09365i 0.0435721i
\(631\) 31.0702i 1.23688i −0.785830 0.618442i \(-0.787764\pi\)
0.785830 0.618442i \(-0.212236\pi\)
\(632\) −13.8119 7.97432i −0.549409 0.317201i
\(633\) 34.3119 1.36377
\(634\) −15.7577 −0.625819
\(635\) 10.0090 5.77869i 0.397194 0.229320i
\(636\) −28.2032 −1.11833
\(637\) 19.5363 15.0096i 0.774055 0.594701i
\(638\) 28.6800 + 49.6753i 1.13545 + 1.96666i
\(639\) 13.6318i 0.539265i
\(640\) −8.25665 + 14.3009i −0.326373 + 0.565294i
\(641\) 31.7693 1.25481 0.627407 0.778692i \(-0.284116\pi\)
0.627407 + 0.778692i \(0.284116\pi\)
\(642\) 18.8538 10.8853i 0.744101 0.429607i
\(643\) 9.85412 + 5.68928i 0.388609 + 0.224363i 0.681557 0.731765i \(-0.261303\pi\)
−0.292948 + 0.956128i \(0.594636\pi\)
\(644\) −4.23321 + 2.44404i −0.166812 + 0.0963088i
\(645\) 13.4021 + 7.73769i 0.527706 + 0.304671i
\(646\) −25.5984 −1.00716
\(647\) −22.2993 38.6235i −0.876675 1.51845i −0.854968 0.518681i \(-0.826423\pi\)
−0.0217070 0.999764i \(-0.506910\pi\)
\(648\) 9.35077i 0.367333i
\(649\) −19.9505 −0.783126
\(650\) −10.7533 + 26.0054i −0.421779 + 1.02002i
\(651\) −1.70820 + 2.72233i −0.0669496 + 0.106697i
\(652\) 49.9649 28.8472i 1.95678 1.12975i
\(653\) 3.04690 + 5.27738i 0.119234 + 0.206520i 0.919464 0.393173i \(-0.128623\pi\)
−0.800230 + 0.599693i \(0.795289\pi\)
\(654\) −19.6164 33.9767i −0.767063 1.32859i
\(655\) 14.6703i 0.573217i
\(656\) 7.32444i 0.285971i
\(657\) 7.90072 4.56148i 0.308236 0.177960i
\(658\) 10.2020 + 5.89011i 0.397714 + 0.229620i
\(659\) −3.34691 + 5.79702i −0.130377 + 0.225820i −0.923822 0.382822i \(-0.874952\pi\)
0.793445 + 0.608642i \(0.208285\pi\)
\(660\) −9.26775 + 16.0522i −0.360747 + 0.624832i
\(661\) 37.8928 + 21.8774i 1.47386 + 0.850932i 0.999567 0.0294359i \(-0.00937108\pi\)
0.474291 + 0.880368i \(0.342704\pi\)
\(662\) −19.9152 34.4941i −0.774026 1.34065i
\(663\) −1.02163 7.72378i −0.0396768 0.299967i
\(664\) −1.44727 2.50674i −0.0561649 0.0972805i
\(665\) 3.74698i 0.145302i
\(666\) −2.90866 5.03794i −0.112708 0.195216i
\(667\) −14.3170 + 24.7977i −0.554356 + 0.960172i
\(668\) −25.4718 14.7061i −0.985532 0.568997i
\(669\) 7.34872i 0.284118i
\(670\) 27.6384 15.9570i 1.06776 0.616474i
\(671\) −22.1184 + 12.7700i −0.853870 + 0.492982i
\(672\) 4.15962 0.160461
\(673\) 1.01602 1.75980i 0.0391647 0.0678352i −0.845779 0.533534i \(-0.820864\pi\)
0.884943 + 0.465699i \(0.154197\pi\)
\(674\) 37.0979 21.4185i 1.42896 0.825008i
\(675\) −10.0199 + 17.3550i −0.385668 + 0.667996i
\(676\) 35.8250 9.64595i 1.37788 0.370998i
\(677\) 18.2391 + 31.5910i 0.700985 + 1.21414i 0.968121 + 0.250482i \(0.0805892\pi\)
−0.267137 + 0.963659i \(0.586077\pi\)
\(678\) −12.4541 + 7.19037i −0.478297 + 0.276145i
\(679\) −3.74931 −0.143885
\(680\) 1.73769 3.00978i 0.0666376 0.115420i
\(681\) 39.7822i 1.52446i
\(682\) −41.3043 + 21.8628i −1.58163 + 0.837169i
\(683\) −33.8904 19.5666i −1.29678 0.748696i −0.316933 0.948448i \(-0.602653\pi\)
−0.979847 + 0.199752i \(0.935987\pi\)
\(684\) 21.7981i 0.833472i
\(685\) 10.2057 + 17.6768i 0.389939 + 0.675395i
\(686\) −6.22884 10.7887i −0.237818 0.411913i
\(687\) −13.3037 7.68090i −0.507568 0.293045i
\(688\) 7.09432 12.2877i 0.270468 0.468465i
\(689\) −3.30868 25.0145i −0.126051 0.952976i
\(690\) −15.7372 −0.599105
\(691\) −27.3848 15.8106i −1.04177 0.601464i −0.121433 0.992600i \(-0.538749\pi\)
−0.920333 + 0.391135i \(0.872082\pi\)
\(692\) −12.4793 + 21.6148i −0.474393 + 0.821672i
\(693\) −1.56655 −0.0595084
\(694\) −16.9253 9.77184i −0.642477 0.370934i
\(695\) 3.72006i 0.141110i
\(696\) −15.7225 + 9.07742i −0.595962 + 0.344079i
\(697\) 7.17080i 0.271614i
\(698\) −13.6707 + 23.6784i −0.517445 + 0.896241i
\(699\) 4.11460 0.155628
\(700\) 3.57908 + 2.06638i 0.135276 + 0.0781018i
\(701\) −6.75892 + 11.7068i −0.255281 + 0.442159i −0.964972 0.262354i \(-0.915501\pi\)
0.709691 + 0.704513i \(0.248835\pi\)
\(702\) 44.5477 5.89235i 1.68134 0.222392i
\(703\) 9.96543 + 17.2606i 0.375853 + 0.650997i
\(704\) 42.0682 + 24.2881i 1.58551 + 0.915393i
\(705\) 11.1496 + 19.3117i 0.419919 + 0.727321i
\(706\) −15.7847 27.3399i −0.594066 1.02895i
\(707\) 2.53315 + 1.46252i 0.0952690 + 0.0550036i
\(708\) 21.1039i 0.793134i
\(709\) 8.31480 + 4.80055i 0.312269 + 0.180289i 0.647941 0.761690i \(-0.275630\pi\)
−0.335672 + 0.941979i \(0.608964\pi\)
\(710\) 31.2144 + 18.0217i 1.17146 + 0.676340i
\(711\) 4.26381 7.38514i 0.159905 0.276964i
\(712\) −3.46450 6.00069i −0.129838 0.224885i
\(713\) −19.7611 12.3997i −0.740061 0.464371i
\(714\) −1.94603 −0.0728282
\(715\) −15.3246 6.33675i −0.573107 0.236981i
\(716\) 21.6383 37.4787i 0.808663 1.40065i
\(717\) 24.0104 13.8624i 0.896685 0.517701i
\(718\) 17.6669 30.5999i 0.659321 1.14198i
\(719\) 2.40388 + 4.16365i 0.0896497 + 0.155278i 0.907363 0.420348i \(-0.138092\pi\)
−0.817713 + 0.575626i \(0.804759\pi\)
\(720\) −1.64379 0.949041i −0.0612603 0.0353687i
\(721\) 1.88756 + 1.08978i 0.0702963 + 0.0405856i
\(722\) 85.1604i 3.16934i
\(723\) −7.28718 + 4.20726i −0.271013 + 0.156470i
\(724\) 44.6556 1.65961
\(725\) 24.2093 0.899112
\(726\) 9.46941 + 5.46717i 0.351443 + 0.202906i
\(727\) −13.6803 + 23.6950i −0.507374 + 0.878798i 0.492590 + 0.870262i \(0.336050\pi\)
−0.999964 + 0.00853584i \(0.997283\pi\)
\(728\) −0.363586 2.74880i −0.0134754 0.101877i
\(729\) 28.9642 1.07275
\(730\) 24.1217i 0.892784i
\(731\) −6.94551 + 12.0300i −0.256889 + 0.444944i
\(732\) −13.5083 23.3971i −0.499283 0.864783i
\(733\) −29.0876 + 16.7937i −1.07437 + 0.620290i −0.929373 0.369141i \(-0.879652\pi\)
−0.145001 + 0.989431i \(0.546319\pi\)
\(734\) 46.2631i 1.70760i
\(735\) 11.6484i 0.429658i
\(736\) 30.1943i 1.11298i
\(737\) −22.8570 39.5894i −0.841947 1.45830i
\(738\) −10.3854 −0.382293
\(739\) 21.5701 + 12.4535i 0.793470 + 0.458110i 0.841183 0.540751i \(-0.181860\pi\)
−0.0477127 + 0.998861i \(0.515193\pi\)
\(740\) −9.04364 −0.332451
\(741\) −38.3257 + 5.06937i −1.40793 + 0.186228i
\(742\) −6.30246 −0.231371
\(743\) 33.2268 19.1835i 1.21897 0.703775i 0.254276 0.967132i \(-0.418163\pi\)
0.964699 + 0.263357i \(0.0848296\pi\)
\(744\) −6.91971 13.0731i −0.253689 0.479283i
\(745\) 8.22267 14.2421i 0.301255 0.521789i
\(746\) 57.1909i 2.09391i
\(747\) 1.34034 0.773844i 0.0490404 0.0283135i
\(748\) −14.4088 8.31892i −0.526837 0.304170i
\(749\) 2.47719 1.43021i 0.0905147 0.0522587i
\(750\) 16.0423 + 27.7861i 0.585782 + 1.01461i
\(751\) −4.42794 −0.161578 −0.0807888 0.996731i \(-0.525744\pi\)
−0.0807888 + 0.996731i \(0.525744\pi\)
\(752\) 17.7060 10.2226i 0.645671 0.372778i
\(753\) −10.0609 17.4259i −0.366638 0.635036i
\(754\) −33.0727 43.0470i −1.20444 1.56768i
\(755\) −3.64466 6.31273i −0.132643 0.229744i
\(756\) 6.59921i 0.240011i
\(757\) −14.5298 + 25.1664i −0.528096 + 0.914689i 0.471367 + 0.881937i \(0.343761\pi\)
−0.999464 + 0.0327522i \(0.989573\pi\)
\(758\) 14.2146 + 24.6204i 0.516298 + 0.894254i
\(759\) 22.5421i 0.818225i
\(760\) −14.9346 8.62251i −0.541736 0.312771i
\(761\) 16.7880 9.69255i 0.608564 0.351355i −0.163839 0.986487i \(-0.552388\pi\)
0.772403 + 0.635132i \(0.219054\pi\)
\(762\) 25.7939 14.8921i 0.934414 0.539484i
\(763\) −2.57739 4.46418i −0.0933080 0.161614i
\(764\) 22.2115 38.4714i 0.803582 1.39185i
\(765\) 1.60931 + 0.929133i 0.0581846 + 0.0335929i