Properties

Label 403.2.v.a.36.1
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 36.1
Character \(\chi\) \(=\) 403.36
Dual form 403.2.v.a.56.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.41811 + 1.39609i) q^{2} +1.64523 q^{3} +(2.89816 - 5.01976i) q^{4} +(1.92977 - 1.11415i) q^{5} +(-3.97834 + 2.29689i) q^{6} +(3.37818 - 1.95039i) q^{7} +10.6000i q^{8} -0.293224 q^{9} +O(q^{10})\) \(q+(-2.41811 + 1.39609i) q^{2} +1.64523 q^{3} +(2.89816 - 5.01976i) q^{4} +(1.92977 - 1.11415i) q^{5} +(-3.97834 + 2.29689i) q^{6} +(3.37818 - 1.95039i) q^{7} +10.6000i q^{8} -0.293224 q^{9} +(-3.11092 + 5.38828i) q^{10} +(0.708516 + 0.409062i) q^{11} +(4.76813 - 8.25865i) q^{12} +(-3.50439 + 0.848075i) q^{13} +(-5.44587 + 9.43252i) q^{14} +(3.17491 - 1.83303i) q^{15} +(-9.00233 - 15.5925i) q^{16} +(1.44519 + 2.50315i) q^{17} +(0.709046 - 0.409368i) q^{18} +(6.61155 - 3.81718i) q^{19} -12.9160i q^{20} +(5.55788 - 3.20884i) q^{21} -2.28436 q^{22} +(-1.34770 - 2.33428i) q^{23} +17.4395i q^{24} +(-0.0173306 + 0.0300174i) q^{25} +(7.29000 - 6.94320i) q^{26} -5.41810 q^{27} -22.6102i q^{28} +(-0.996765 - 1.72645i) q^{29} +(-5.11818 + 8.86494i) q^{30} +(-2.32606 - 5.05860i) q^{31} +(25.1774 + 14.5362i) q^{32} +(1.16567 + 0.673001i) q^{33} +(-6.98927 - 4.03526i) q^{34} +(4.34607 - 7.52762i) q^{35} +(-0.849808 + 1.47191i) q^{36} +7.35675i q^{37} +(-10.6583 + 18.4607i) q^{38} +(-5.76553 + 1.39528i) q^{39} +(11.8100 + 20.4556i) q^{40} +(2.60925 + 1.50645i) q^{41} +(-8.95970 + 15.5187i) q^{42} +(-1.65513 - 2.86677i) q^{43} +(4.10679 - 2.37105i) q^{44} +(-0.565853 + 0.326696i) q^{45} +(6.51776 + 3.76303i) q^{46} +6.33846i q^{47} +(-14.8109 - 25.6532i) q^{48} +(4.10808 - 7.11540i) q^{49} -0.0967804i q^{50} +(2.37768 + 4.11825i) q^{51} +(-5.89915 + 20.0491i) q^{52} +(-0.0147242 - 0.0255031i) q^{53} +(13.1016 - 7.56419i) q^{54} +1.82303 q^{55} +(20.6742 + 35.8088i) q^{56} +(10.8775 - 6.28013i) q^{57} +(4.82057 + 2.78316i) q^{58} +(0.804394 - 0.464417i) q^{59} -21.2497i q^{60} +(-2.79453 + 4.84027i) q^{61} +(12.6870 + 8.98482i) q^{62} +(-0.990563 + 0.571902i) q^{63} -45.1661 q^{64} +(-5.81778 + 5.54101i) q^{65} -3.75829 q^{66} +(4.24509 + 2.45091i) q^{67} +16.7536 q^{68} +(-2.21727 - 3.84043i) q^{69} +24.2701i q^{70} -1.10322i q^{71} -3.10818i q^{72} +(12.9357 - 7.46845i) q^{73} +(-10.2707 - 17.7894i) q^{74} +(-0.0285127 + 0.0493855i) q^{75} -44.2512i q^{76} +3.19133 q^{77} +(11.9937 - 11.4231i) q^{78} +(-3.61822 + 6.26694i) q^{79} +(-34.7448 - 20.0599i) q^{80} -8.03435 q^{81} -8.41259 q^{82} +(-3.90288 + 2.25333i) q^{83} -37.1990i q^{84} +(5.57778 + 3.22033i) q^{85} +(8.00455 + 4.62143i) q^{86} +(-1.63991 - 2.84040i) q^{87} +(-4.33607 + 7.51030i) q^{88} +(-11.2227 + 6.47940i) q^{89} +(0.912196 - 1.57997i) q^{90} +(-10.1844 + 9.69990i) q^{91} -15.6234 q^{92} +(-3.82691 - 8.32255i) q^{93} +(-8.84908 - 15.3271i) q^{94} +(8.50583 - 14.7325i) q^{95} +(41.4225 + 23.9153i) q^{96} +(-10.6032 - 6.12178i) q^{97} +22.9411i q^{98} +(-0.207754 - 0.119947i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.41811 + 1.39609i −1.70986 + 0.987188i −0.775148 + 0.631780i \(0.782325\pi\)
−0.934711 + 0.355408i \(0.884342\pi\)
\(3\) 1.64523 0.949873 0.474937 0.880020i \(-0.342471\pi\)
0.474937 + 0.880020i \(0.342471\pi\)
\(4\) 2.89816 5.01976i 1.44908 2.50988i
\(5\) 1.92977 1.11415i 0.863018 0.498264i −0.00200348 0.999998i \(-0.500638\pi\)
0.865022 + 0.501734i \(0.167304\pi\)
\(6\) −3.97834 + 2.29689i −1.62415 + 0.937703i
\(7\) 3.37818 1.95039i 1.27683 0.737180i 0.300568 0.953760i \(-0.402824\pi\)
0.976265 + 0.216581i \(0.0694904\pi\)
\(8\) 10.6000i 3.74768i
\(9\) −0.293224 −0.0977412
\(10\) −3.11092 + 5.38828i −0.983760 + 1.70392i
\(11\) 0.708516 + 0.409062i 0.213626 + 0.123337i 0.602995 0.797745i \(-0.293974\pi\)
−0.389370 + 0.921082i \(0.627307\pi\)
\(12\) 4.76813 8.25865i 1.37644 2.38407i
\(13\) −3.50439 + 0.848075i −0.971944 + 0.235214i
\(14\) −5.44587 + 9.43252i −1.45547 + 2.52095i
\(15\) 3.17491 1.83303i 0.819758 0.473287i
\(16\) −9.00233 15.5925i −2.25058 3.89812i
\(17\) 1.44519 + 2.50315i 0.350511 + 0.607103i 0.986339 0.164728i \(-0.0526745\pi\)
−0.635828 + 0.771831i \(0.719341\pi\)
\(18\) 0.709046 0.409368i 0.167124 0.0964889i
\(19\) 6.61155 3.81718i 1.51679 0.875721i 0.516988 0.855993i \(-0.327053\pi\)
0.999805 0.0197279i \(-0.00628000\pi\)
\(20\) 12.9160i 2.88810i
\(21\) 5.55788 3.20884i 1.21283 0.700227i
\(22\) −2.28436 −0.487027
\(23\) −1.34770 2.33428i −0.281015 0.486732i 0.690620 0.723218i \(-0.257338\pi\)
−0.971635 + 0.236486i \(0.924004\pi\)
\(24\) 17.4395i 3.55982i
\(25\) −0.0173306 + 0.0300174i −0.00346611 + 0.00600349i
\(26\) 7.29000 6.94320i 1.42969 1.36167i
\(27\) −5.41810 −1.04271
\(28\) 22.6102i 4.27293i
\(29\) −0.996765 1.72645i −0.185095 0.320593i 0.758514 0.651657i \(-0.225926\pi\)
−0.943608 + 0.331064i \(0.892593\pi\)
\(30\) −5.11818 + 8.86494i −0.934447 + 1.61851i
\(31\) −2.32606 5.05860i −0.417774 0.908551i
\(32\) 25.1774 + 14.5362i 4.45077 + 2.56966i
\(33\) 1.16567 + 0.673001i 0.202917 + 0.117154i
\(34\) −6.98927 4.03526i −1.19865 0.692041i
\(35\) 4.34607 7.52762i 0.734620 1.27240i
\(36\) −0.849808 + 1.47191i −0.141635 + 0.245319i
\(37\) 7.35675i 1.20944i 0.796438 + 0.604721i \(0.206715\pi\)
−0.796438 + 0.604721i \(0.793285\pi\)
\(38\) −10.6583 + 18.4607i −1.72900 + 2.99472i
\(39\) −5.76553 + 1.39528i −0.923223 + 0.223423i
\(40\) 11.8100 + 20.4556i 1.86733 + 3.23431i
\(41\) 2.60925 + 1.50645i 0.407496 + 0.235268i 0.689713 0.724082i \(-0.257737\pi\)
−0.282217 + 0.959351i \(0.591070\pi\)
\(42\) −8.95970 + 15.5187i −1.38251 + 2.39458i
\(43\) −1.65513 2.86677i −0.252405 0.437178i 0.711783 0.702400i \(-0.247888\pi\)
−0.964187 + 0.265222i \(0.914555\pi\)
\(44\) 4.10679 2.37105i 0.619121 0.357450i
\(45\) −0.565853 + 0.326696i −0.0843524 + 0.0487009i
\(46\) 6.51776 + 3.76303i 0.960991 + 0.554828i
\(47\) 6.33846i 0.924559i 0.886734 + 0.462279i \(0.152968\pi\)
−0.886734 + 0.462279i \(0.847032\pi\)
\(48\) −14.8109 25.6532i −2.13777 3.70272i
\(49\) 4.10808 7.11540i 0.586868 1.01649i
\(50\) 0.0967804i 0.0136868i
\(51\) 2.37768 + 4.11825i 0.332941 + 0.576671i
\(52\) −5.89915 + 20.0491i −0.818065 + 2.78030i
\(53\) −0.0147242 0.0255031i −0.00202253 0.00350312i 0.865012 0.501751i \(-0.167310\pi\)
−0.867035 + 0.498247i \(0.833977\pi\)
\(54\) 13.1016 7.56419i 1.78290 1.02936i
\(55\) 1.82303 0.245817
\(56\) 20.6742 + 35.8088i 2.76271 + 4.78516i
\(57\) 10.8775 6.28013i 1.44076 0.831824i
\(58\) 4.82057 + 2.78316i 0.632972 + 0.365446i
\(59\) 0.804394 0.464417i 0.104723 0.0604620i −0.446724 0.894672i \(-0.647409\pi\)
0.551447 + 0.834210i \(0.314076\pi\)
\(60\) 21.2497i 2.74332i
\(61\) −2.79453 + 4.84027i −0.357803 + 0.619733i −0.987594 0.157032i \(-0.949807\pi\)
0.629790 + 0.776765i \(0.283141\pi\)
\(62\) 12.6870 + 8.98482i 1.61124 + 1.14107i
\(63\) −0.990563 + 0.571902i −0.124799 + 0.0720528i
\(64\) −45.1661 −5.64577
\(65\) −5.81778 + 5.54101i −0.721607 + 0.687278i
\(66\) −3.75829 −0.462613
\(67\) 4.24509 + 2.45091i 0.518621 + 0.299426i 0.736370 0.676579i \(-0.236538\pi\)
−0.217749 + 0.976005i \(0.569872\pi\)
\(68\) 16.7536 2.03167
\(69\) −2.21727 3.84043i −0.266928 0.462333i
\(70\) 24.2701i 2.90083i
\(71\) 1.10322i 0.130928i −0.997855 0.0654641i \(-0.979147\pi\)
0.997855 0.0654641i \(-0.0208528\pi\)
\(72\) 3.10818i 0.366302i
\(73\) 12.9357 7.46845i 1.51401 0.874116i 0.514148 0.857701i \(-0.328108\pi\)
0.999865 0.0164147i \(-0.00522521\pi\)
\(74\) −10.2707 17.7894i −1.19395 2.06797i
\(75\) −0.0285127 + 0.0493855i −0.00329237 + 0.00570255i
\(76\) 44.2512i 5.07596i
\(77\) 3.19133 0.363686
\(78\) 11.9937 11.4231i 1.35802 1.29342i
\(79\) −3.61822 + 6.26694i −0.407081 + 0.705085i −0.994561 0.104153i \(-0.966787\pi\)
0.587480 + 0.809239i \(0.300120\pi\)
\(80\) −34.7448 20.0599i −3.88459 2.24277i
\(81\) −8.03435 −0.892705
\(82\) −8.41259 −0.929015
\(83\) −3.90288 + 2.25333i −0.428397 + 0.247335i −0.698664 0.715450i \(-0.746222\pi\)
0.270266 + 0.962786i \(0.412888\pi\)
\(84\) 37.1990i 4.05874i
\(85\) 5.57778 + 3.22033i 0.604995 + 0.349294i
\(86\) 8.00455 + 4.62143i 0.863153 + 0.498342i
\(87\) −1.63991 2.84040i −0.175816 0.304523i
\(88\) −4.33607 + 7.51030i −0.462227 + 0.800600i
\(89\) −11.2227 + 6.47940i −1.18960 + 0.686815i −0.958215 0.286047i \(-0.907659\pi\)
−0.231384 + 0.972863i \(0.574325\pi\)
\(90\) 0.912196 1.57997i 0.0961539 0.166543i
\(91\) −10.1844 + 9.69990i −1.06761 + 1.01683i
\(92\) −15.6234 −1.62885
\(93\) −3.82691 8.32255i −0.396832 0.863008i
\(94\) −8.84908 15.3271i −0.912713 1.58087i
\(95\) 8.50583 14.7325i 0.872680 1.51153i
\(96\) 41.4225 + 23.9153i 4.22767 + 2.44085i
\(97\) −10.6032 6.12178i −1.07660 0.621573i −0.146620 0.989193i \(-0.546839\pi\)
−0.929976 + 0.367620i \(0.880173\pi\)
\(98\) 22.9411i 2.31740i
\(99\) −0.207754 0.119947i −0.0208800 0.0120551i
\(100\) 0.100453 + 0.173991i 0.0100453 + 0.0173991i
\(101\) 1.06096 + 1.83764i 0.105570 + 0.182852i 0.913971 0.405780i \(-0.133000\pi\)
−0.808401 + 0.588632i \(0.799667\pi\)
\(102\) −11.4989 6.63892i −1.13857 0.657351i
\(103\) 6.71530 + 11.6312i 0.661678 + 1.14606i 0.980174 + 0.198136i \(0.0634889\pi\)
−0.318496 + 0.947924i \(0.603178\pi\)
\(104\) −8.98963 37.1467i −0.881505 3.64253i
\(105\) 7.15028 12.3846i 0.697796 1.20862i
\(106\) 0.0712095 + 0.0411128i 0.00691647 + 0.00399323i
\(107\) 6.81231 0.658571 0.329285 0.944230i \(-0.393192\pi\)
0.329285 + 0.944230i \(0.393192\pi\)
\(108\) −15.7025 + 27.1976i −1.51098 + 2.61709i
\(109\) 1.72832i 0.165543i 0.996569 + 0.0827713i \(0.0263771\pi\)
−0.996569 + 0.0827713i \(0.973623\pi\)
\(110\) −4.40828 + 2.54512i −0.420313 + 0.242668i
\(111\) 12.1035i 1.14882i
\(112\) −60.8230 35.1162i −5.74723 3.31817i
\(113\) 1.27806 0.120229 0.0601147 0.998191i \(-0.480853\pi\)
0.0601147 + 0.998191i \(0.480853\pi\)
\(114\) −17.5353 + 30.3720i −1.64233 + 2.84460i
\(115\) −5.20149 3.00308i −0.485042 0.280039i
\(116\) −11.5551 −1.07287
\(117\) 1.02757 0.248676i 0.0949989 0.0229901i
\(118\) −1.29674 + 2.24602i −0.119375 + 0.206763i
\(119\) 9.76426 + 5.63740i 0.895089 + 0.516780i
\(120\) 19.4302 + 33.6541i 1.77373 + 3.07219i
\(121\) −5.16534 8.94662i −0.469576 0.813330i
\(122\) 15.6057i 1.41288i
\(123\) 4.29281 + 2.47846i 0.387070 + 0.223475i
\(124\) −32.1342 2.98434i −2.88574 0.268002i
\(125\) 11.2188i 1.00344i
\(126\) 1.59686 2.76584i 0.142259 0.246400i
\(127\) 8.18533 0.726331 0.363165 0.931725i \(-0.381696\pi\)
0.363165 + 0.931725i \(0.381696\pi\)
\(128\) 58.8617 33.9838i 5.20269 3.00377i
\(129\) −2.72306 4.71649i −0.239752 0.415263i
\(130\) 6.33223 21.5209i 0.555373 1.88751i
\(131\) 6.81525 11.8044i 0.595452 1.03135i −0.398031 0.917372i \(-0.630307\pi\)
0.993483 0.113981i \(-0.0363601\pi\)
\(132\) 6.75660 3.90093i 0.588087 0.339532i
\(133\) 14.8900 25.7902i 1.29113 2.23630i
\(134\) −13.6868 −1.18236
\(135\) −10.4557 + 6.03659i −0.899882 + 0.519547i
\(136\) −26.5335 + 15.3191i −2.27523 + 1.31360i
\(137\) 0.766909i 0.0655215i 0.999463 + 0.0327607i \(0.0104299\pi\)
−0.999463 + 0.0327607i \(0.989570\pi\)
\(138\) 10.7232 + 6.19104i 0.912819 + 0.527016i
\(139\) −3.58928 + 6.21682i −0.304439 + 0.527304i −0.977136 0.212614i \(-0.931802\pi\)
0.672697 + 0.739918i \(0.265136\pi\)
\(140\) −25.1912 43.6325i −2.12905 3.68762i
\(141\) 10.4282i 0.878213i
\(142\) 1.54020 + 2.66770i 0.129251 + 0.223869i
\(143\) −2.82984 0.832639i −0.236643 0.0696288i
\(144\) 2.63969 + 4.57209i 0.219975 + 0.381007i
\(145\) −3.84705 2.22110i −0.319480 0.184452i
\(146\) −20.8533 + 36.1190i −1.72583 + 2.98923i
\(147\) 6.75872 11.7065i 0.557450 0.965532i
\(148\) 36.9291 + 21.3210i 3.03555 + 1.75258i
\(149\) −4.41011 + 2.54618i −0.361290 + 0.208591i −0.669646 0.742680i \(-0.733554\pi\)
0.308357 + 0.951271i \(0.400221\pi\)
\(150\) 0.159226i 0.0130007i
\(151\) 14.7740i 1.20229i 0.799139 + 0.601146i \(0.205289\pi\)
−0.799139 + 0.601146i \(0.794711\pi\)
\(152\) 40.4622 + 70.0826i 3.28192 + 5.68445i
\(153\) −0.423765 0.733983i −0.0342594 0.0593390i
\(154\) −7.71698 + 4.45540i −0.621852 + 0.359026i
\(155\) −10.1248 7.17033i −0.813245 0.575935i
\(156\) −9.70545 + 32.9853i −0.777058 + 2.64094i
\(157\) 6.72236 0.536502 0.268251 0.963349i \(-0.413554\pi\)
0.268251 + 0.963349i \(0.413554\pi\)
\(158\) 20.2055i 1.60746i
\(159\) −0.0242247 0.0419584i −0.00192114 0.00332752i
\(160\) 64.7820 5.12147
\(161\) −9.10554 5.25709i −0.717617 0.414317i
\(162\) 19.4279 11.2167i 1.52640 0.881268i
\(163\) 3.71584 + 2.14534i 0.291047 + 0.168036i 0.638414 0.769693i \(-0.279591\pi\)
−0.347367 + 0.937729i \(0.612924\pi\)
\(164\) 15.1240 8.73187i 1.18099 0.681844i
\(165\) 2.99930 0.233495
\(166\) 6.29173 10.8976i 0.488333 0.845817i
\(167\) 15.7276i 1.21704i 0.793540 + 0.608519i \(0.208236\pi\)
−0.793540 + 0.608519i \(0.791764\pi\)
\(168\) 34.0139 + 58.9137i 2.62423 + 4.54529i
\(169\) 11.5615 5.94398i 0.889349 0.457229i
\(170\) −17.9836 −1.37928
\(171\) −1.93866 + 1.11929i −0.148253 + 0.0855940i
\(172\) −19.1873 −1.46302
\(173\) −14.7504 −1.12146 −0.560728 0.828000i \(-0.689479\pi\)
−0.560728 + 0.828000i \(0.689479\pi\)
\(174\) 7.93094 + 4.57893i 0.601243 + 0.347128i
\(175\) 0.135206i 0.0102206i
\(176\) 14.7300i 1.11032i
\(177\) 1.32341 0.764073i 0.0994738 0.0574312i
\(178\) 18.0917 31.3358i 1.35603 2.34872i
\(179\) −21.8379 −1.63224 −0.816119 0.577884i \(-0.803879\pi\)
−0.816119 + 0.577884i \(0.803879\pi\)
\(180\) 3.78726i 0.282286i
\(181\) 1.26009 + 2.18255i 0.0936621 + 0.162227i 0.909049 0.416688i \(-0.136809\pi\)
−0.815387 + 0.578916i \(0.803476\pi\)
\(182\) 11.0850 37.6738i 0.821673 2.79257i
\(183\) −4.59764 + 7.96335i −0.339868 + 0.588668i
\(184\) 24.7435 14.2856i 1.82411 1.05315i
\(185\) 8.19653 + 14.1968i 0.602621 + 1.04377i
\(186\) 20.8729 + 14.7821i 1.53048 + 1.08388i
\(187\) 2.36470i 0.172924i
\(188\) 31.8175 + 18.3698i 2.32053 + 1.33976i
\(189\) −18.3033 + 10.5674i −1.33137 + 0.768668i
\(190\) 47.4998i 3.44600i
\(191\) −11.2938 −0.817189 −0.408594 0.912716i \(-0.633981\pi\)
−0.408594 + 0.912716i \(0.633981\pi\)
\(192\) −74.3086 −5.36276
\(193\) 12.0359i 0.866360i 0.901307 + 0.433180i \(0.142609\pi\)
−0.901307 + 0.433180i \(0.857391\pi\)
\(194\) 34.1863 2.45444
\(195\) −9.57158 + 9.11623i −0.685435 + 0.652827i
\(196\) −23.8117 41.2431i −1.70084 2.94594i
\(197\) −21.7058 12.5319i −1.54648 0.892859i −0.998407 0.0564264i \(-0.982029\pi\)
−0.548070 0.836432i \(-0.684637\pi\)
\(198\) 0.669827 0.0476026
\(199\) −7.23322 −0.512749 −0.256375 0.966578i \(-0.582528\pi\)
−0.256375 + 0.966578i \(0.582528\pi\)
\(200\) −0.318186 0.183705i −0.0224991 0.0129899i
\(201\) 6.98415 + 4.03230i 0.492624 + 0.284417i
\(202\) −5.13104 2.96241i −0.361019 0.208434i
\(203\) −6.73451 3.88817i −0.472670 0.272896i
\(204\) 27.5635 1.92983
\(205\) 6.71366 0.468902
\(206\) −32.4766 18.7504i −2.26275 1.30640i
\(207\) 0.395177 + 0.684467i 0.0274667 + 0.0475737i
\(208\) 44.7713 + 47.0076i 3.10433 + 3.25939i
\(209\) 6.24585 0.432035
\(210\) 39.9299i 2.75542i
\(211\) 2.39519 0.164892 0.0824458 0.996596i \(-0.473727\pi\)
0.0824458 + 0.996596i \(0.473727\pi\)
\(212\) −0.170692 −0.0117232
\(213\) 1.81505i 0.124365i
\(214\) −16.4729 + 9.51062i −1.12606 + 0.650133i
\(215\) −6.38803 3.68813i −0.435660 0.251528i
\(216\) 57.4321i 3.90776i
\(217\) −17.7241 12.5521i −1.20319 0.852094i
\(218\) −2.41289 4.17925i −0.163422 0.283055i
\(219\) 21.2822 12.2873i 1.43812 0.830299i
\(220\) 5.28343 9.15117i 0.356209 0.616972i
\(221\) −7.18739 7.54639i −0.483476 0.507625i
\(222\) −16.8977 29.2676i −1.13410 1.96431i
\(223\) 16.3214i 1.09296i −0.837471 0.546481i \(-0.815967\pi\)
0.837471 0.546481i \(-0.184033\pi\)
\(224\) 113.405 7.57719
\(225\) 0.00508173 0.00880182i 0.000338782 0.000586788i
\(226\) −3.09047 + 1.78429i −0.205575 + 0.118689i
\(227\) 0.678272i 0.0450185i 0.999747 + 0.0225092i \(0.00716552\pi\)
−0.999747 + 0.0225092i \(0.992834\pi\)
\(228\) 72.8033i 4.82151i
\(229\) −5.27913 3.04790i −0.348854 0.201411i 0.315326 0.948983i \(-0.397886\pi\)
−0.664181 + 0.747572i \(0.731219\pi\)
\(230\) 16.7703 1.10580
\(231\) 5.25047 0.345455
\(232\) 18.3004 10.5657i 1.20148 0.693675i
\(233\) 5.15269 0.337564 0.168782 0.985653i \(-0.446017\pi\)
0.168782 + 0.985653i \(0.446017\pi\)
\(234\) −2.13760 + 2.03591i −0.139739 + 0.133092i
\(235\) 7.06200 + 12.2317i 0.460674 + 0.797911i
\(236\) 5.38382i 0.350457i
\(237\) −5.95279 + 10.3105i −0.386676 + 0.669742i
\(238\) −31.4814 −2.04063
\(239\) 10.6670 6.15858i 0.689989 0.398365i −0.113619 0.993524i \(-0.536244\pi\)
0.803608 + 0.595159i \(0.202911\pi\)
\(240\) −57.1631 33.0032i −3.68987 2.13034i
\(241\) −3.70939 + 2.14162i −0.238943 + 0.137954i −0.614691 0.788768i \(-0.710719\pi\)
0.375748 + 0.926722i \(0.377386\pi\)
\(242\) 24.9807 + 14.4226i 1.60582 + 0.927119i
\(243\) 3.03597 0.194758
\(244\) 16.1980 + 28.0557i 1.03697 + 1.79608i
\(245\) 18.3081i 1.16966i
\(246\) −13.8406 −0.882446
\(247\) −19.9322 + 18.9840i −1.26826 + 1.20792i
\(248\) 53.6213 24.6564i 3.40496 1.56568i
\(249\) −6.42114 + 3.70725i −0.406923 + 0.234937i
\(250\) −15.6624 27.1281i −0.990580 1.71573i
\(251\) −6.27757 10.8731i −0.396237 0.686302i 0.597021 0.802225i \(-0.296351\pi\)
−0.993258 + 0.115923i \(0.963017\pi\)
\(252\) 6.62985i 0.417641i
\(253\) 2.20517i 0.138638i
\(254\) −19.7930 + 11.4275i −1.24192 + 0.717025i
\(255\) 9.17672 + 5.29818i 0.574669 + 0.331785i
\(256\) −49.7231 + 86.1230i −3.10770 + 5.38269i
\(257\) −1.15397 + 1.99873i −0.0719826 + 0.124677i −0.899770 0.436364i \(-0.856266\pi\)
0.827788 + 0.561042i \(0.189599\pi\)
\(258\) 13.1693 + 7.60331i 0.819886 + 0.473361i
\(259\) 14.3486 + 24.8524i 0.891576 + 1.54425i
\(260\) 10.9537 + 45.2626i 0.679320 + 2.80707i
\(261\) 0.292275 + 0.506235i 0.0180914 + 0.0313352i
\(262\) 38.0589i 2.35129i
\(263\) −13.8662 24.0170i −0.855030 1.48095i −0.876618 0.481188i \(-0.840206\pi\)
0.0215880 0.999767i \(-0.493128\pi\)
\(264\) −7.13383 + 12.3562i −0.439057 + 0.760469i
\(265\) −0.0568287 0.0328100i −0.00349096 0.00201550i
\(266\) 83.1514i 5.09834i
\(267\) −18.4638 + 10.6601i −1.12997 + 0.652387i
\(268\) 24.6059 14.2062i 1.50305 0.867784i
\(269\) −17.7807 −1.08411 −0.542055 0.840343i \(-0.682353\pi\)
−0.542055 + 0.840343i \(0.682353\pi\)
\(270\) 16.8553 29.1942i 1.02578 1.77671i
\(271\) 16.8455 9.72573i 1.02329 0.590796i 0.108234 0.994125i \(-0.465480\pi\)
0.915055 + 0.403329i \(0.132147\pi\)
\(272\) 26.0202 45.0684i 1.57771 2.73267i
\(273\) −16.7557 + 15.9586i −1.01410 + 0.965856i
\(274\) −1.07068 1.85447i −0.0646820 0.112033i
\(275\) −0.0245580 + 0.0141786i −0.00148090 + 0.000854999i
\(276\) −25.7040 −1.54720
\(277\) −14.1360 + 24.4843i −0.849350 + 1.47112i 0.0324390 + 0.999474i \(0.489673\pi\)
−0.881789 + 0.471644i \(0.843661\pi\)
\(278\) 20.0439i 1.20215i
\(279\) 0.682057 + 1.48330i 0.0408337 + 0.0888029i
\(280\) 79.7930 + 46.0685i 4.76854 + 2.75312i
\(281\) 13.5293i 0.807093i 0.914959 + 0.403547i \(0.132223\pi\)
−0.914959 + 0.403547i \(0.867777\pi\)
\(282\) −14.5588 25.2165i −0.866962 1.50162i
\(283\) −1.66988 2.89232i −0.0992643 0.171931i 0.812116 0.583496i \(-0.198316\pi\)
−0.911380 + 0.411565i \(0.864982\pi\)
\(284\) −5.53790 3.19731i −0.328614 0.189725i
\(285\) 13.9940 24.2384i 0.828935 1.43576i
\(286\) 8.00529 1.93731i 0.473362 0.114555i
\(287\) 11.7527 0.693740
\(288\) −7.38260 4.26235i −0.435024 0.251161i
\(289\) 4.32282 7.48735i 0.254284 0.440432i
\(290\) 12.4034 0.728355
\(291\) −17.4447 10.0717i −1.02263 0.590415i
\(292\) 86.5790i 5.06665i
\(293\) 17.4437 10.0711i 1.01907 0.588360i 0.105235 0.994447i \(-0.466441\pi\)
0.913834 + 0.406088i \(0.133107\pi\)
\(294\) 37.7433i 2.20123i
\(295\) 1.03486 1.79244i 0.0602521 0.104360i
\(296\) −77.9817 −4.53260
\(297\) −3.83882 2.21634i −0.222751 0.128605i
\(298\) 7.10940 12.3138i 0.411837 0.713322i
\(299\) 6.70251 + 7.03729i 0.387616 + 0.406977i
\(300\) 0.165269 + 0.286254i 0.00954181 + 0.0165269i
\(301\) −11.1827 6.45631i −0.644557 0.372135i
\(302\) −20.6259 35.7251i −1.18689 2.05575i
\(303\) 1.74552 + 3.02334i 0.100278 + 0.173686i
\(304\) −119.039 68.7270i −6.82733 3.94176i
\(305\) 12.4541i 0.713122i
\(306\) 2.04942 + 1.18323i 0.117157 + 0.0676409i
\(307\) 22.5129 + 12.9978i 1.28488 + 0.741824i 0.977736 0.209840i \(-0.0672945\pi\)
0.307141 + 0.951664i \(0.400628\pi\)
\(308\) 9.24898 16.0197i 0.527010 0.912807i
\(309\) 11.0482 + 19.1361i 0.628510 + 1.08861i
\(310\) 34.4933 + 3.20343i 1.95909 + 0.181943i
\(311\) −28.9692 −1.64269 −0.821347 0.570429i \(-0.806777\pi\)
−0.821347 + 0.570429i \(0.806777\pi\)
\(312\) −14.7900 61.1148i −0.837318 3.45994i
\(313\) 6.35066 10.9997i 0.358960 0.621737i −0.628827 0.777545i \(-0.716465\pi\)
0.987787 + 0.155808i \(0.0497980\pi\)
\(314\) −16.2554 + 9.38504i −0.917344 + 0.529629i
\(315\) −1.27437 + 2.20727i −0.0718026 + 0.124366i
\(316\) 20.9723 + 36.3251i 1.17979 + 2.04345i
\(317\) −9.94255 5.74033i −0.558429 0.322409i 0.194086 0.980985i \(-0.437826\pi\)
−0.752515 + 0.658575i \(0.771159\pi\)
\(318\) 0.117156 + 0.0676399i 0.00656977 + 0.00379306i
\(319\) 1.63096i 0.0913160i
\(320\) −87.1601 + 50.3219i −4.87240 + 2.81308i
\(321\) 11.2078 0.625559
\(322\) 29.3576 1.63603
\(323\) 19.1099 + 11.0331i 1.06331 + 0.613900i
\(324\) −23.2848 + 40.3305i −1.29360 + 2.24058i
\(325\) 0.0352761 0.119890i 0.00195677 0.00665033i
\(326\) −11.9804 −0.663532
\(327\) 2.84347i 0.157245i
\(328\) −15.9684 + 27.6581i −0.881709 + 1.52716i
\(329\) 12.3625 + 21.4125i 0.681566 + 1.18051i
\(330\) −7.25263 + 4.18731i −0.399244 + 0.230504i
\(331\) 12.9453i 0.711537i −0.934574 0.355768i \(-0.884219\pi\)
0.934574 0.355768i \(-0.115781\pi\)
\(332\) 26.1220i 1.43363i
\(333\) 2.15717i 0.118212i
\(334\) −21.9572 38.0310i −1.20144 2.08096i
\(335\) 10.9227 0.596772
\(336\) −100.068 57.7741i −5.45914 3.15184i
\(337\) −20.2789 −1.10466 −0.552332 0.833624i \(-0.686262\pi\)
−0.552332 + 0.833624i \(0.686262\pi\)
\(338\) −19.6587 + 30.5142i −1.06929 + 1.65975i
\(339\) 2.10269 0.114203
\(340\) 32.3306 18.6661i 1.75337 1.01231i
\(341\) 0.421226 4.53561i 0.0228107 0.245617i
\(342\) 3.12526 5.41311i 0.168995 0.292707i
\(343\) 4.74396i 0.256150i
\(344\) 30.3878 17.5444i 1.63840 0.945932i
\(345\) −8.55764 4.94076i −0.460728 0.266001i
\(346\) 35.6681 20.5930i 1.91753 1.10709i
\(347\) 13.5164 + 23.4110i 0.725597 + 1.25677i 0.958728 + 0.284325i \(0.0917694\pi\)
−0.233131 + 0.972445i \(0.574897\pi\)
\(348\) −19.0108 −1.01909
\(349\) −7.20564 + 4.16018i −0.385709 + 0.222689i −0.680299 0.732934i \(-0.738150\pi\)
0.294590 + 0.955624i \(0.404817\pi\)
\(350\) −0.188760 0.326942i −0.0100896 0.0174758i
\(351\) 18.9872 4.59496i 1.01346 0.245261i
\(352\) 11.8924 + 20.5982i 0.633867 + 1.09789i
\(353\) 1.40061i 0.0745469i −0.999305 0.0372735i \(-0.988133\pi\)
0.999305 0.0372735i \(-0.0118673\pi\)
\(354\) −2.13343 + 3.69522i −0.113391 + 0.196399i
\(355\) −1.22915 2.12896i −0.0652368 0.112993i
\(356\) 75.1133i 3.98100i
\(357\) 16.0644 + 9.27481i 0.850220 + 0.490875i
\(358\) 52.8063 30.4877i 2.79090 1.61133i
\(359\) −4.96515 + 2.86663i −0.262051 + 0.151295i −0.625270 0.780409i \(-0.715011\pi\)
0.363219 + 0.931704i \(0.381678\pi\)
\(360\) −3.46298 5.99806i −0.182515 0.316126i
\(361\) 19.6417 34.0204i 1.03377 1.79055i
\(362\) −6.09408 3.51842i −0.320298 0.184924i
\(363\) −8.49816 14.7192i −0.446038 0.772560i
\(364\) 19.1752 + 79.2351i 1.00505 + 4.15305i
\(365\) 16.6420 28.8248i 0.871081 1.50876i
\(366\) 25.6750i 1.34205i
\(367\) −16.8049 + 29.1070i −0.877209 + 1.51937i −0.0228190 + 0.999740i \(0.507264\pi\)
−0.854390 + 0.519632i \(0.826069\pi\)
\(368\) −24.2649 + 42.0280i −1.26489 + 2.19086i
\(369\) −0.765093 0.441727i −0.0398292 0.0229954i
\(370\) −39.6402 22.8863i −2.06079 1.18980i
\(371\) −0.0994822 0.0574361i −0.00516486 0.00298193i
\(372\) −52.8682 4.90992i −2.74109 0.254567i
\(373\) 6.29024 10.8950i 0.325696 0.564122i −0.655957 0.754798i \(-0.727735\pi\)
0.981653 + 0.190676i \(0.0610680\pi\)
\(374\) −3.30134 5.71809i −0.170708 0.295675i
\(375\) 18.4574i 0.953137i
\(376\) −67.1878 −3.46495
\(377\) 4.95722 + 5.20482i 0.255310 + 0.268062i
\(378\) 29.5063 51.1064i 1.51764 2.62863i
\(379\) 1.88820i 0.0969904i −0.998823 0.0484952i \(-0.984557\pi\)
0.998823 0.0484952i \(-0.0154426\pi\)
\(380\) −49.3025 85.3945i −2.52917 4.38064i
\(381\) 13.4667 0.689922
\(382\) 27.3095 15.7672i 1.39728 0.806719i
\(383\) 16.3529i 0.835595i 0.908540 + 0.417797i \(0.137198\pi\)
−0.908540 + 0.417797i \(0.862802\pi\)
\(384\) 96.8410 55.9112i 4.94190 2.85320i
\(385\) 6.15853 3.55563i 0.313868 0.181212i
\(386\) −16.8032 29.1040i −0.855260 1.48135i
\(387\) 0.485323 + 0.840603i 0.0246703 + 0.0427303i
\(388\) −61.4597 + 35.4838i −3.12014 + 1.80142i
\(389\) 4.22898 7.32481i 0.214418 0.371383i −0.738674 0.674062i \(-0.764548\pi\)
0.953092 + 0.302680i \(0.0978812\pi\)
\(390\) 10.4180 35.4068i 0.527534 1.79290i
\(391\) 3.89537 6.74699i 0.196998 0.341210i
\(392\) 75.4235 + 43.5458i 3.80946 + 2.19939i
\(393\) 11.2126 19.4209i 0.565603 0.979654i
\(394\) 69.9827 3.52568
\(395\) 16.1250i 0.811336i
\(396\) −1.20421 + 0.695249i −0.0605136 + 0.0349376i
\(397\) 3.68917 2.12994i 0.185154 0.106899i −0.404558 0.914512i \(-0.632575\pi\)
0.589712 + 0.807614i \(0.299241\pi\)
\(398\) 17.4907 10.0983i 0.876729 0.506180i
\(399\) 24.4975 42.4309i 1.22641 2.12420i
\(400\) 0.624062 0.0312031
\(401\) 14.9525 8.63281i 0.746690 0.431102i −0.0778064 0.996968i \(-0.524792\pi\)
0.824497 + 0.565867i \(0.191458\pi\)
\(402\) −22.5179 −1.12309
\(403\) 12.4415 + 15.7546i 0.619756 + 0.784794i
\(404\) 12.2993 0.611915
\(405\) −15.5044 + 8.95149i −0.770421 + 0.444803i
\(406\) 21.7130 1.07760
\(407\) −3.00937 + 5.21238i −0.149169 + 0.258368i
\(408\) −43.6536 + 25.2034i −2.16118 + 1.24776i
\(409\) 5.45455 3.14919i 0.269710 0.155717i −0.359046 0.933320i \(-0.616898\pi\)
0.628756 + 0.777603i \(0.283564\pi\)
\(410\) −16.2343 + 9.37290i −0.801757 + 0.462895i
\(411\) 1.26174i 0.0622371i
\(412\) 77.8480 3.83530
\(413\) 1.81159 3.13777i 0.0891427 0.154400i
\(414\) −1.91116 1.10341i −0.0939284 0.0542296i
\(415\) −5.02111 + 8.69681i −0.246476 + 0.426910i
\(416\) −100.559 29.5881i −4.93032 1.45068i
\(417\) −5.90519 + 10.2281i −0.289178 + 0.500871i
\(418\) −15.1031 + 8.71980i −0.738719 + 0.426499i
\(419\) 4.83224 + 8.36968i 0.236070 + 0.408886i 0.959583 0.281425i \(-0.0908071\pi\)
−0.723513 + 0.690311i \(0.757474\pi\)
\(420\) −41.4453 71.7854i −2.02232 3.50277i
\(421\) 27.7753 16.0361i 1.35368 0.781550i 0.364921 0.931038i \(-0.381096\pi\)
0.988764 + 0.149488i \(0.0477626\pi\)
\(422\) −5.79182 + 3.34391i −0.281941 + 0.162779i
\(423\) 1.85858i 0.0903675i
\(424\) 0.270334 0.156077i 0.0131286 0.00757978i
\(425\) −0.100184 −0.00485965
\(426\) 2.53398 + 4.38898i 0.122772 + 0.212647i
\(427\) 21.8018i 1.05506i
\(428\) 19.7431 34.1961i 0.954321 1.65293i
\(429\) −4.65573 1.36988i −0.224781 0.0661385i
\(430\) 20.5959 0.993223
\(431\) 14.6857i 0.707387i −0.935361 0.353693i \(-0.884926\pi\)
0.935361 0.353693i \(-0.115074\pi\)
\(432\) 48.7756 + 84.4818i 2.34672 + 4.06463i
\(433\) 2.58867 4.48371i 0.124404 0.215473i −0.797096 0.603853i \(-0.793632\pi\)
0.921500 + 0.388379i \(0.126965\pi\)
\(434\) 60.3828 + 5.60781i 2.89847 + 0.269183i
\(435\) −6.32928 3.65421i −0.303466 0.175206i
\(436\) 8.67573 + 5.00893i 0.415492 + 0.239884i
\(437\) −17.8207 10.2888i −0.852482 0.492181i
\(438\) −34.3085 + 59.4240i −1.63932 + 2.83939i
\(439\) −11.6444 + 20.1687i −0.555757 + 0.962600i 0.442087 + 0.896972i \(0.354238\pi\)
−0.997844 + 0.0656274i \(0.979095\pi\)
\(440\) 19.3242i 0.921244i
\(441\) −1.20458 + 2.08640i −0.0573612 + 0.0993525i
\(442\) 27.9153 + 8.21370i 1.32780 + 0.390686i
\(443\) −9.31845 16.1400i −0.442733 0.766836i 0.555158 0.831745i \(-0.312658\pi\)
−0.997891 + 0.0649087i \(0.979324\pi\)
\(444\) 60.7568 + 35.0779i 2.88339 + 1.66473i
\(445\) −14.4381 + 25.0075i −0.684431 + 1.18547i
\(446\) 22.7862 + 39.4669i 1.07896 + 1.86881i
\(447\) −7.25563 + 4.18904i −0.343180 + 0.198135i
\(448\) −152.579 + 88.0918i −7.20870 + 4.16194i
\(449\) −13.5566 7.82690i −0.639775 0.369374i 0.144753 0.989468i \(-0.453761\pi\)
−0.784528 + 0.620094i \(0.787095\pi\)
\(450\) 0.0283783i 0.00133777i
\(451\) 1.23246 + 2.13469i 0.0580345 + 0.100519i
\(452\) 3.70401 6.41553i 0.174222 0.301761i
\(453\) 24.3066i 1.14202i
\(454\) −0.946931 1.64013i −0.0444417 0.0769752i
\(455\) −8.84636 + 30.0655i −0.414724 + 1.40949i
\(456\) 66.5696 + 115.302i 3.11741 + 5.39951i
\(457\) 11.5889 6.69084i 0.542105 0.312984i −0.203827 0.979007i \(-0.565338\pi\)
0.745931 + 0.666023i \(0.232005\pi\)
\(458\) 17.0206 0.795323
\(459\) −7.83022 13.5623i −0.365483 0.633036i
\(460\) −30.1495 + 17.4068i −1.40573 + 0.811597i
\(461\) −21.6772 12.5153i −1.00961 0.582896i −0.0985297 0.995134i \(-0.531414\pi\)
−0.911076 + 0.412238i \(0.864747\pi\)
\(462\) −12.6962 + 7.33015i −0.590680 + 0.341029i
\(463\) 20.6015i 0.957433i 0.877969 + 0.478717i \(0.158898\pi\)
−0.877969 + 0.478717i \(0.841102\pi\)
\(464\) −17.9464 + 31.0841i −0.833142 + 1.44304i
\(465\) −16.6576 11.7968i −0.772479 0.547065i
\(466\) −12.4598 + 7.19365i −0.577187 + 0.333239i
\(467\) 36.7431 1.70027 0.850134 0.526566i \(-0.176521\pi\)
0.850134 + 0.526566i \(0.176521\pi\)
\(468\) 1.72977 5.87886i 0.0799587 0.271750i
\(469\) 19.1209 0.882923
\(470\) −34.1533 19.7184i −1.57538 0.909544i
\(471\) 11.0598 0.509609
\(472\) 4.92284 + 8.52661i 0.226592 + 0.392469i
\(473\) 2.70820i 0.124523i
\(474\) 33.2426i 1.52689i
\(475\) 0.264616i 0.0121414i
\(476\) 56.5968 32.6762i 2.59411 1.49771i
\(477\) 0.00431749 + 0.00747811i 0.000197684 + 0.000342399i
\(478\) −17.1959 + 29.7842i −0.786523 + 1.36230i
\(479\) 8.79794i 0.401988i 0.979592 + 0.200994i \(0.0644172\pi\)
−0.979592 + 0.200994i \(0.935583\pi\)
\(480\) 106.581 4.86474
\(481\) −6.23907 25.7809i −0.284477 1.17551i
\(482\) 5.97981 10.3573i 0.272373 0.471763i
\(483\) −14.9807 8.64911i −0.681645 0.393548i
\(484\) −59.8799 −2.72181
\(485\) −27.2824 −1.23883
\(486\) −7.34131 + 4.23851i −0.333009 + 0.192263i
\(487\) 0.0756210i 0.00342671i −0.999999 0.00171336i \(-0.999455\pi\)
0.999999 0.00171336i \(-0.000545379\pi\)
\(488\) −51.3070 29.6221i −2.32256 1.34093i
\(489\) 6.11340 + 3.52957i 0.276457 + 0.159613i
\(490\) 25.5598 + 44.2709i 1.15467 + 1.99996i
\(491\) 5.81741 10.0761i 0.262536 0.454726i −0.704379 0.709824i \(-0.748774\pi\)
0.966915 + 0.255098i \(0.0821078\pi\)
\(492\) 24.8825 14.3659i 1.12179 0.647665i
\(493\) 2.88104 4.99011i 0.129756 0.224743i
\(494\) 21.6948 73.7325i 0.976093 3.31738i
\(495\) −0.534555 −0.0240265
\(496\) −57.9362 + 81.8083i −2.60141 + 3.67330i
\(497\) −2.15171 3.72688i −0.0965176 0.167173i
\(498\) 10.3513 17.9290i 0.463854 0.803419i
\(499\) 9.46310 + 5.46352i 0.423626 + 0.244581i 0.696628 0.717433i \(-0.254683\pi\)
−0.273001 + 0.962014i \(0.588016\pi\)
\(500\) 56.3154 + 32.5137i 2.51850 + 1.45406i
\(501\) 25.8755i 1.15603i
\(502\) 30.3597 + 17.5282i 1.35502 + 0.782320i
\(503\) 3.69582 + 6.40134i 0.164788 + 0.285422i 0.936580 0.350454i \(-0.113973\pi\)
−0.771792 + 0.635875i \(0.780639\pi\)
\(504\) −6.06218 10.5000i −0.270031 0.467707i
\(505\) 4.09482 + 2.36415i 0.182217 + 0.105203i
\(506\) 3.07863 + 5.33234i 0.136862 + 0.237051i
\(507\) 19.0214 9.77920i 0.844769 0.434310i
\(508\) 23.7224 41.0884i 1.05251 1.82300i
\(509\) 37.0655 + 21.3998i 1.64290 + 0.948529i 0.979795 + 0.200004i \(0.0640955\pi\)
0.663106 + 0.748525i \(0.269238\pi\)
\(510\) −29.5871 −1.31014
\(511\) 29.1329 50.4596i 1.28876 2.23220i
\(512\) 141.737i 6.26397i
\(513\) −35.8221 + 20.6819i −1.58158 + 0.913127i
\(514\) 6.44419i 0.284241i
\(515\) 25.9179 + 14.9637i 1.14208 + 0.659381i
\(516\) −31.5675 −1.38968
\(517\) −2.59282 + 4.49090i −0.114032 + 0.197510i
\(518\) −69.3927 40.0639i −3.04894 1.76031i
\(519\) −24.2678 −1.06524
\(520\) −58.7349 61.6687i −2.57570 2.70435i
\(521\) −7.36532 + 12.7571i −0.322680 + 0.558899i −0.981040 0.193804i \(-0.937917\pi\)
0.658360 + 0.752703i \(0.271251\pi\)
\(522\) −1.41350 0.816087i −0.0618674 0.0357192i
\(523\) 7.02257 + 12.1634i 0.307076 + 0.531870i 0.977721 0.209907i \(-0.0673162\pi\)
−0.670646 + 0.741778i \(0.733983\pi\)
\(524\) −39.5034 68.4218i −1.72571 2.98902i
\(525\) 0.222444i 0.00970827i
\(526\) 67.0601 + 38.7172i 2.92396 + 1.68815i
\(527\) 9.30082 13.1332i 0.405150 0.572089i
\(528\) 24.2343i 1.05466i
\(529\) 7.86742 13.6268i 0.342062 0.592468i
\(530\) 0.183224 0.00795873
\(531\) −0.235867 + 0.136178i −0.0102358 + 0.00590963i
\(532\) −86.3072 149.488i −3.74189 6.48115i
\(533\) −10.4214 3.06636i −0.451402 0.132819i
\(534\) 29.7650 51.5545i 1.28806 2.23098i
\(535\) 13.1462 7.58995i 0.568359 0.328142i
\(536\) −25.9797 + 44.9981i −1.12215 + 1.94362i
\(537\) −35.9283 −1.55042
\(538\) 42.9957 24.8236i 1.85367 1.07022i
\(539\) 5.82128 3.36092i 0.250740 0.144765i
\(540\) 69.9800i 3.01146i
\(541\) 18.2666 + 10.5462i 0.785343 + 0.453418i 0.838320 0.545178i \(-0.183538\pi\)
−0.0529778 + 0.998596i \(0.516871\pi\)
\(542\) −27.1561 + 47.0357i −1.16645 + 2.02036i
\(543\) 2.07314 + 3.59079i 0.0889671 + 0.154096i
\(544\) 84.0304i 3.60277i
\(545\) 1.92561 + 3.33525i 0.0824839 + 0.142866i
\(546\) 18.2373 61.9820i 0.780485 2.65258i
\(547\) −4.51263 7.81611i −0.192946 0.334193i 0.753279 0.657701i \(-0.228471\pi\)
−0.946225 + 0.323508i \(0.895138\pi\)
\(548\) 3.84970 + 2.22262i 0.164451 + 0.0949458i
\(549\) 0.819422 1.41928i 0.0349721 0.0605735i
\(550\) 0.0395892 0.0685705i 0.00168809 0.00292386i
\(551\) −13.1803 7.60966i −0.561501 0.324183i
\(552\) 40.7087 23.5032i 1.73268 1.00036i
\(553\) 28.2278i 1.20037i
\(554\) 78.9408i 3.35387i
\(555\) 13.4852 + 23.3570i 0.572414 + 0.991449i
\(556\) 20.8046 + 36.0346i 0.882312 + 1.52821i
\(557\) −7.45078 + 4.30171i −0.315699 + 0.182269i −0.649474 0.760384i \(-0.725011\pi\)
0.333775 + 0.942653i \(0.391678\pi\)
\(558\) −3.72011 2.63456i −0.157485 0.111530i
\(559\) 8.23145 + 8.64260i 0.348153 + 0.365543i
\(560\) −156.499 −6.61329
\(561\) 3.89047i 0.164256i
\(562\) −18.8882 32.7154i −0.796752 1.38002i
\(563\) 13.4407 0.566458 0.283229 0.959052i \(-0.408594\pi\)
0.283229 + 0.959052i \(0.408594\pi\)
\(564\) 52.3471 + 30.2226i 2.20421 + 1.27260i
\(565\) 2.46635 1.42395i 0.103760 0.0599059i
\(566\) 8.07592 + 4.66263i 0.339456 + 0.195985i
\(567\) −27.1415 + 15.6702i −1.13984 + 0.658084i
\(568\) 11.6942 0.490676
\(569\) 18.0744 31.3058i 0.757719 1.31241i −0.186292 0.982494i \(-0.559647\pi\)
0.944011 0.329914i \(-0.107020\pi\)
\(570\) 78.1480i 3.27326i
\(571\) 10.4306 + 18.0663i 0.436506 + 0.756050i 0.997417 0.0718256i \(-0.0228825\pi\)
−0.560911 + 0.827876i \(0.689549\pi\)
\(572\) −12.3810 + 11.7920i −0.517674 + 0.493047i
\(573\) −18.5808 −0.776225
\(574\) −28.4193 + 16.4079i −1.18620 + 0.684851i
\(575\) 0.0934255 0.00389611
\(576\) 13.2438 0.551824
\(577\) 5.10654 + 2.94826i 0.212588 + 0.122738i 0.602514 0.798109i \(-0.294166\pi\)
−0.389925 + 0.920846i \(0.627499\pi\)
\(578\) 24.1403i 1.00410i
\(579\) 19.8017i 0.822932i
\(580\) −22.2987 + 12.8742i −0.925904 + 0.534571i
\(581\) −8.78977 + 15.2243i −0.364661 + 0.631612i
\(582\) 56.2443 2.33140
\(583\) 0.0240925i 0.000997809i
\(584\) 79.1658 + 137.119i 3.27591 + 5.67403i
\(585\) 1.70591 1.62476i 0.0705307 0.0671754i
\(586\) −28.1204 + 48.7060i −1.16164 + 2.01202i
\(587\) −14.2858 + 8.24793i −0.589639 + 0.340428i −0.764955 0.644084i \(-0.777239\pi\)
0.175315 + 0.984512i \(0.443905\pi\)
\(588\) −39.1757 67.8543i −1.61558 2.79827i
\(589\) −34.6885 24.5662i −1.42931 1.01223i
\(590\) 5.77907i 0.237920i
\(591\) −35.7111 20.6178i −1.46896 0.848103i
\(592\) 114.710 66.2278i 4.71455 2.72195i
\(593\) 20.4711i 0.840647i −0.907374 0.420324i \(-0.861917\pi\)
0.907374 0.420324i \(-0.138083\pi\)
\(594\) 12.3769 0.507830
\(595\) 25.1237 1.02997
\(596\) 29.5169i 1.20906i
\(597\) −11.9003 −0.487047
\(598\) −26.0321 7.65958i −1.06453 0.313224i
\(599\) −16.0055 27.7223i −0.653965 1.13270i −0.982152 0.188088i \(-0.939771\pi\)
0.328187 0.944613i \(-0.393562\pi\)
\(600\) −0.523488 0.302236i −0.0213713 0.0123387i
\(601\) 31.6612 1.29149 0.645744 0.763554i \(-0.276547\pi\)
0.645744 + 0.763554i \(0.276547\pi\)
\(602\) 36.0545 1.46947
\(603\) −1.24476 0.718663i −0.0506906 0.0292662i
\(604\) 74.1620 + 42.8174i 3.01761 + 1.74222i
\(605\) −19.9358 11.5099i −0.810506 0.467946i
\(606\) −8.44173 4.87383i −0.342922 0.197986i
\(607\) −39.8278 −1.61656 −0.808281 0.588797i \(-0.799602\pi\)
−0.808281 + 0.588797i \(0.799602\pi\)
\(608\) 221.949 9.00120
\(609\) −11.0798 6.39693i −0.448976 0.259217i
\(610\) −17.3871 30.1154i −0.703985 1.21934i
\(611\) −5.37549 22.2124i −0.217469 0.898619i
\(612\) −4.91255 −0.198578
\(613\) 43.5589i 1.75933i −0.475596 0.879664i \(-0.657768\pi\)
0.475596 0.879664i \(-0.342232\pi\)
\(614\) −72.5846 −2.92928
\(615\) 11.0455 0.445398
\(616\) 33.8282i 1.36298i
\(617\) −21.2348 + 12.2599i −0.854880 + 0.493565i −0.862295 0.506407i \(-0.830973\pi\)
0.00741416 + 0.999973i \(0.497640\pi\)
\(618\) −53.4315 30.8487i −2.14933 1.24092i
\(619\) 20.4848i 0.823354i 0.911330 + 0.411677i \(0.135057\pi\)
−0.911330 + 0.411677i \(0.864943\pi\)
\(620\) −65.3366 + 30.0434i −2.62398 + 1.20657i
\(621\) 7.30197 + 12.6474i 0.293018 + 0.507522i
\(622\) 70.0506 40.4438i 2.80877 1.62165i
\(623\) −25.2748 + 43.7772i −1.01261 + 1.75390i
\(624\) 73.6590 + 77.3382i 2.94872 + 3.09600i
\(625\) 12.4127 + 21.4995i 0.496510 + 0.859980i
\(626\) 35.4645i 1.41744i
\(627\) 10.2759 0.410378
\(628\) 19.4825 33.7446i 0.777434 1.34656i
\(629\) −18.4150 + 10.6319i −0.734256 + 0.423923i
\(630\) 7.11657i 0.283531i
\(631\) 22.0562i 0.878044i −0.898476 0.439022i \(-0.855325\pi\)
0.898476 0.439022i \(-0.144675\pi\)
\(632\) −66.4297 38.3532i −2.64243 1.52561i
\(633\) 3.94063 0.156626
\(634\) 32.0562 1.27311
\(635\) 15.7958 9.11970i 0.626837 0.361904i
\(636\) −0.280828 −0.0111356
\(637\) −8.36192 + 28.4191i −0.331311 + 1.12601i
\(638\) 2.27697 + 3.94382i 0.0901460 + 0.156138i
\(639\) 0.323490i 0.0127971i
\(640\) 75.7263 131.162i 2.99335 5.18463i
\(641\) 30.8806 1.21971 0.609855 0.792513i \(-0.291228\pi\)
0.609855 + 0.792513i \(0.291228\pi\)
\(642\) −27.1017 + 15.6471i −1.06962 + 0.617544i
\(643\) −24.1644 13.9513i −0.952952 0.550187i −0.0589550 0.998261i \(-0.518777\pi\)
−0.893997 + 0.448074i \(0.852110\pi\)
\(644\) −52.7786 + 30.4717i −2.07977 + 1.20076i
\(645\) −10.5098 6.06782i −0.413822 0.238920i
\(646\) −61.6132 −2.42414
\(647\) 20.4035 + 35.3398i 0.802143 + 1.38935i 0.918203 + 0.396110i \(0.129640\pi\)
−0.116061 + 0.993242i \(0.537027\pi\)
\(648\) 85.1644i 3.34557i
\(649\) 0.759902 0.0298288
\(650\) 0.0820771 + 0.339157i 0.00321933 + 0.0133028i
\(651\) −29.1602 20.6511i −1.14288 0.809381i
\(652\) 21.5382 12.4351i 0.843500 0.486995i
\(653\) 14.3266 + 24.8143i 0.560642 + 0.971060i 0.997441 + 0.0715006i \(0.0227788\pi\)
−0.436799 + 0.899559i \(0.643888\pi\)
\(654\) −3.96976 6.87582i −0.155230 0.268866i
\(655\) 30.3729i 1.18677i
\(656\) 54.2463i 2.11796i
\(657\) −3.79306 + 2.18993i −0.147981 + 0.0854371i
\(658\) −59.7876 34.5184i −2.33076 1.34567i
\(659\) −23.6845 + 41.0228i −0.922618 + 1.59802i −0.127271 + 0.991868i \(0.540622\pi\)
−0.795347 + 0.606154i \(0.792712\pi\)
\(660\) 8.69245 15.0558i 0.338353 0.586045i
\(661\) −39.0919 22.5697i −1.52050 0.877861i −0.999708 0.0241770i \(-0.992303\pi\)
−0.520792 0.853684i \(-0.674363\pi\)
\(662\) 18.0728 + 31.3031i 0.702421 + 1.21663i
\(663\) −11.8249 12.4155i −0.459241 0.482179i
\(664\) −23.8854 41.3707i −0.926933 1.60549i
\(665\) 66.3589i 2.57329i
\(666\) 3.01161 + 5.21627i 0.116698 + 0.202126i
\(667\) −2.68668 + 4.65346i −0.104029 + 0.180183i
\(668\) 78.9487 + 45.5810i 3.05462 + 1.76358i
\(669\) 26.8525i 1.03818i
\(670\) −26.4123 + 15.2492i −1.02040 + 0.589126i
\(671\) −3.95994 + 2.28627i −0.152872 + 0.0882606i
\(672\) 186.577 7.19737
\(673\) 4.55074 7.88212i 0.175418 0.303833i −0.764888 0.644164i \(-0.777206\pi\)
0.940306 + 0.340330i \(0.110539\pi\)
\(674\) 49.0366 28.3113i 1.88882 1.09051i
\(675\) 0.0938989 0.162638i 0.00361417 0.00625992i
\(676\) 3.66983 75.2627i 0.141147 2.89472i
\(677\) −6.41591 11.1127i −0.246584 0.427095i 0.715992 0.698108i \(-0.245975\pi\)
−0.962576 + 0.271013i \(0.912641\pi\)
\(678\) −5.08453 + 2.93556i −0.195270 + 0.112739i
\(679\) −47.7596 −1.83284
\(680\) −34.1356 + 59.1247i −1.30904 + 2.26733i
\(681\) 1.11591i 0.0427618i
\(682\) 5.31356 + 11.5556i 0.203467 + 0.442489i
\(683\) −32.2332 18.6098i −1.23337 0.712086i −0.265638 0.964073i \(-0.585583\pi\)
−0.967731 + 0.251987i \(0.918916\pi\)
\(684\) 12.9755i 0.496130i
\(685\) 0.854454 + 1.47996i 0.0326470 + 0.0565463i
\(686\) 6.62302 + 11.4714i 0.252868 + 0.437980i
\(687\) −8.68537 5.01450i −0.331367 0.191315i
\(688\) −29.8000 + 51.6152i −1.13612 + 1.96781i
\(689\) 0.0732280 + 0.0768856i 0.00278976 + 0.00292911i
\(690\) 27.5910 1.05037
\(691\) −33.0260 19.0676i −1.25637 0.725365i −0.284002 0.958824i \(-0.591662\pi\)
−0.972367 + 0.233459i \(0.924996\pi\)
\(692\) −42.7491 + 74.0436i −1.62508 + 2.81472i
\(693\) −0.935773 −0.0355471
\(694\) −65.3680 37.7402i −2.48134 1.43260i
\(695\) 15.9960i 0.606764i
\(696\) 30.1084 17.3831i 1.14125 0.658903i
\(697\) 8.70846i 0.329856i
\(698\) 11.6160 20.1195i 0.439672 0.761534i
\(699\) 8.47736 0.320643
\(700\) 0.678700 + 0.391848i 0.0256525 + 0.0148105i
\(701\) 8.69665 15.0630i 0.328468 0.568923i −0.653740 0.756719i \(-0.726801\pi\)
0.982208 + 0.187796i \(0.0601344\pi\)
\(702\) −39.4980 + 37.6190i −1.49076 + 1.41984i
\(703\) 28.0820 + 48.6395i 1.05913 + 1.83447i
\(704\) −32.0009 18.4758i −1.20608 0.696331i
\(705\) 11.6186 + 20.1240i 0.437582 + 0.757914i
\(706\) 1.95538 + 3.38682i 0.0735918 + 0.127465i
\(707\) 7.16825 + 4.13859i 0.269590 + 0.155648i
\(708\) 8.85761i 0.332890i
\(709\) −17.9716 10.3759i −0.674936 0.389675i 0.123008 0.992406i \(-0.460746\pi\)
−0.797944 + 0.602731i \(0.794079\pi\)
\(710\) 5.94445 + 3.43203i 0.223091 + 0.128802i
\(711\) 1.06095 1.83761i 0.0397886 0.0689159i
\(712\) −68.6819 118.961i −2.57396 4.45823i
\(713\) −8.67336 + 12.2472i −0.324820 + 0.458660i
\(714\) −51.7940 −1.93834
\(715\) −6.38861 + 1.54607i −0.238921 + 0.0578196i
\(716\) −63.2896 + 109.621i −2.36524 + 4.09672i
\(717\) 17.5496 10.1323i 0.655402 0.378397i
\(718\) 8.00418 13.8636i 0.298713 0.517387i
\(719\) −17.7786 30.7935i −0.663032 1.14840i −0.979815 0.199906i \(-0.935936\pi\)
0.316783 0.948498i \(-0.397397\pi\)
\(720\) 10.1880 + 5.88204i 0.379684 + 0.219211i
\(721\) 45.3710 + 26.1950i 1.68971 + 0.975552i
\(722\) 109.687i 4.08212i
\(723\) −6.10280 + 3.52345i −0.226966 + 0.131039i
\(724\) 14.6078 0.542895
\(725\) 0.0690980 0.00256624
\(726\) 41.0989 + 23.7285i 1.52532 + 0.880646i
\(727\) 5.68338 9.84391i 0.210785 0.365090i −0.741175 0.671311i \(-0.765731\pi\)
0.951960 + 0.306221i \(0.0990647\pi\)
\(728\) −102.819 107.955i −3.81074 4.00108i
\(729\) 29.0979 1.07770
\(730\) 92.9351i 3.43968i
\(731\) 4.78397 8.28607i 0.176941 0.306471i
\(732\) 26.6494 + 46.1581i 0.984990 + 1.70605i
\(733\) 35.1526 20.2954i 1.29839 0.749627i 0.318265 0.948002i \(-0.396900\pi\)
0.980126 + 0.198375i \(0.0635665\pi\)
\(734\) 93.8450i 3.46388i
\(735\) 30.1210i 1.11103i
\(736\) 78.3615i 2.88844i
\(737\) 2.00515 + 3.47301i 0.0738605 + 0.127930i
\(738\) 2.46677 0.0908030
\(739\) 34.3947 + 19.8578i 1.26523 + 0.730481i 0.974082 0.226196i \(-0.0726290\pi\)
0.291149 + 0.956678i \(0.405962\pi\)
\(740\) 95.0194 3.49298
\(741\) −32.7930 + 31.2330i −1.20468 + 1.14737i
\(742\) 0.320745 0.0117749
\(743\) 45.1017 26.0395i 1.65462 0.955295i 0.679483 0.733692i \(-0.262204\pi\)
0.975137 0.221603i \(-0.0711290\pi\)
\(744\) 88.2193 40.5654i 3.23428 1.48720i
\(745\) −5.67365 + 9.82705i −0.207867 + 0.360035i
\(746\) 35.1271i 1.28609i
\(747\) 1.14442 0.660730i 0.0418721 0.0241748i
\(748\) 11.8702 + 6.85327i 0.434018 + 0.250580i
\(749\) 23.0132 13.2867i 0.840885 0.485485i
\(750\) −25.7683 44.6320i −0.940925 1.62973i
\(751\) 49.8245 1.81812 0.909060 0.416665i \(-0.136801\pi\)
0.909060 + 0.416665i \(0.136801\pi\)
\(752\) 98.8323 57.0609i 3.60404 2.08080i
\(753\) −10.3280 17.8887i −0.376375 0.651900i
\(754\) −19.2535 5.66507i −0.701171 0.206310i
\(755\) 16.4605 + 28.5104i 0.599059 + 1.03760i
\(756\) 122.504i 4.45545i
\(757\) −15.2018 + 26.3303i −0.552519 + 0.956991i 0.445573 + 0.895246i \(0.353000\pi\)
−0.998092 + 0.0617456i \(0.980333\pi\)
\(758\) 2.63611 + 4.56587i 0.0957477 + 0.165840i
\(759\) 3.62801i 0.131688i
\(760\) 156.165 + 90.1621i 5.66471 + 3.27052i
\(761\) 18.9948 10.9666i 0.688559 0.397540i −0.114513 0.993422i \(-0.536531\pi\)
0.803072 + 0.595882i \(0.203197\pi\)
\(762\) −32.5640 + 18.8008i −1.17967 + 0.681082i
\(763\) 3.37090 + 5.83857i 0.122035 + 0.211370i
\(764\) −32.7311 + 56.6920i −1.18417 + 2.05104i
\(765\) −1.63554 0.944278i −0.0591330 0.0341404i
\(766\) −22.8302 39.5431i