Properties

Label 38.6.e.b.23.3
Level $38$
Weight $6$
Character 38.23
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 23.3
Character \(\chi\) \(=\) 38.23
Dual form 38.6.e.b.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75877 - 1.36808i) q^{2} +(-0.196437 - 1.11405i) q^{3} +(12.2567 + 10.2846i) q^{4} +(8.74989 - 7.34203i) q^{5} +(-0.785748 + 4.45620i) q^{6} +(-7.74142 + 13.4085i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(227.143 - 82.6732i) q^{9} +O(q^{10})\) \(q+(-3.75877 - 1.36808i) q^{2} +(-0.196437 - 1.11405i) q^{3} +(12.2567 + 10.2846i) q^{4} +(8.74989 - 7.34203i) q^{5} +(-0.785748 + 4.45620i) q^{6} +(-7.74142 + 13.4085i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(227.143 - 82.6732i) q^{9} +(-42.9333 + 15.6265i) q^{10} +(-298.390 - 516.826i) q^{11} +(9.04988 - 15.6749i) q^{12} +(176.976 - 1003.68i) q^{13} +(47.4422 - 39.8087i) q^{14} +(-9.89819 - 8.30556i) q^{15} +(44.4539 + 252.111i) q^{16} +(-244.634 - 89.0396i) q^{17} -966.881 q^{18} +(1392.58 - 732.684i) q^{19} +182.755 q^{20} +(16.4585 + 5.99039i) q^{21} +(414.519 + 2350.85i) q^{22} +(144.742 + 121.453i) q^{23} +(-55.4609 + 46.5372i) q^{24} +(-519.995 + 2949.04i) q^{25} +(-2038.33 + 3530.49i) q^{26} +(-274.166 - 474.870i) q^{27} +(-232.786 + 84.7271i) q^{28} +(2818.93 - 1026.01i) q^{29} +(25.8423 + 44.7602i) q^{30} +(-2442.48 + 4230.50i) q^{31} +(177.816 - 1008.44i) q^{32} +(-517.155 + 433.944i) q^{33} +(797.711 + 669.359i) q^{34} +(30.7093 + 174.161i) q^{35} +(3634.28 + 1322.77i) q^{36} +3790.08 q^{37} +(-6236.75 + 848.834i) q^{38} -1152.91 q^{39} +(-686.933 - 250.023i) q^{40} +(-3040.19 - 17241.8i) q^{41} +(-53.6683 - 45.0330i) q^{42} +(2760.32 - 2316.18i) q^{43} +(1658.07 - 9403.41i) q^{44} +(1380.49 - 2391.07i) q^{45} +(-377.895 - 654.533i) q^{46} +(-11856.8 + 4315.52i) q^{47} +(272.131 - 99.0477i) q^{48} +(8283.64 + 14347.7i) q^{49} +(5989.07 - 10373.4i) q^{50} +(-51.1393 + 290.025i) q^{51} +(12491.6 - 10481.7i) q^{52} +(-4935.52 - 4141.40i) q^{53} +(380.868 + 2160.01i) q^{54} +(-6405.43 - 2331.39i) q^{55} +990.902 q^{56} +(-1089.80 - 1407.47i) q^{57} -11999.4 q^{58} +(1383.96 + 503.721i) q^{59} +(-35.8998 - 203.598i) q^{60} +(26681.7 + 22388.6i) q^{61} +(14968.4 - 12560.0i) q^{62} +(-649.881 + 3685.66i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(-5820.53 - 10081.5i) q^{65} +(2537.54 - 923.588i) q^{66} +(-49505.7 + 18018.6i) q^{67} +(-2082.68 - 3607.30i) q^{68} +(106.872 - 185.108i) q^{69} +(122.837 - 696.644i) q^{70} +(-1981.49 + 1662.66i) q^{71} +(-11850.8 - 9943.99i) q^{72} +(3929.94 + 22287.8i) q^{73} +(-14246.0 - 5185.14i) q^{74} +3387.52 q^{75} +(24603.8 + 5341.81i) q^{76} +9239.84 q^{77} +(4333.54 + 1577.28i) q^{78} +(6692.16 + 37953.1i) q^{79} +(2239.97 + 1879.56i) q^{80} +(44520.8 - 37357.4i) q^{81} +(-12160.8 + 68967.1i) q^{82} +(-45084.8 + 78089.2i) q^{83} +(140.118 + 242.691i) q^{84} +(-2794.26 + 1017.03i) q^{85} +(-13544.1 + 4929.66i) q^{86} +(-1696.76 - 2938.88i) q^{87} +(-19096.9 + 33076.9i) q^{88} +(15545.0 - 88159.9i) q^{89} +(-8460.11 + 7098.87i) q^{90} +(12087.8 + 10142.9i) q^{91} +(524.966 + 2977.23i) q^{92} +(5192.77 + 1890.02i) q^{93} +50471.0 q^{94} +(6805.51 - 16635.3i) q^{95} -1158.38 q^{96} +(126019. + 45867.1i) q^{97} +(-11507.5 - 65262.3i) q^{98} +(-110505. - 92724.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75877 1.36808i −0.664463 0.241845i
\(3\) −0.196437 1.11405i −0.0126014 0.0714663i 0.977859 0.209267i \(-0.0671078\pi\)
−0.990460 + 0.137801i \(0.955997\pi\)
\(4\) 12.2567 + 10.2846i 0.383022 + 0.321394i
\(5\) 8.74989 7.34203i 0.156523 0.131338i −0.561163 0.827705i \(-0.689646\pi\)
0.717686 + 0.696367i \(0.245201\pi\)
\(6\) −0.785748 + 4.45620i −0.00891056 + 0.0505343i
\(7\) −7.74142 + 13.4085i −0.0597139 + 0.103428i −0.894337 0.447394i \(-0.852352\pi\)
0.834623 + 0.550822i \(0.185686\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) 227.143 82.6732i 0.934744 0.340219i
\(10\) −42.9333 + 15.6265i −0.135767 + 0.0494152i
\(11\) −298.390 516.826i −0.743536 1.28784i −0.950876 0.309573i \(-0.899814\pi\)
0.207340 0.978269i \(-0.433519\pi\)
\(12\) 9.04988 15.6749i 0.0181422 0.0314232i
\(13\) 176.976 1003.68i 0.290439 1.64716i −0.394742 0.918792i \(-0.629166\pi\)
0.685182 0.728372i \(-0.259723\pi\)
\(14\) 47.4422 39.8087i 0.0646911 0.0542823i
\(15\) −9.89819 8.30556i −0.0113587 0.00953106i
\(16\) 44.4539 + 252.111i 0.0434120 + 0.246202i
\(17\) −244.634 89.0396i −0.205303 0.0747241i 0.237322 0.971431i \(-0.423730\pi\)
−0.442625 + 0.896707i \(0.645953\pi\)
\(18\) −966.881 −0.703383
\(19\) 1392.58 732.684i 0.884984 0.465621i
\(20\) 182.755 0.102163
\(21\) 16.4585 + 5.99039i 0.00814406 + 0.00296420i
\(22\) 414.519 + 2350.85i 0.182594 + 1.03554i
\(23\) 144.742 + 121.453i 0.0570526 + 0.0478728i 0.670868 0.741577i \(-0.265922\pi\)
−0.613815 + 0.789450i \(0.710366\pi\)
\(24\) −55.4609 + 46.5372i −0.0196544 + 0.0164920i
\(25\) −519.995 + 2949.04i −0.166399 + 0.943693i
\(26\) −2038.33 + 3530.49i −0.591344 + 1.02424i
\(27\) −274.166 474.870i −0.0723777 0.125362i
\(28\) −232.786 + 84.7271i −0.0561127 + 0.0204234i
\(29\) 2818.93 1026.01i 0.622428 0.226545i −0.0115043 0.999934i \(-0.503662\pi\)
0.633932 + 0.773389i \(0.281440\pi\)
\(30\) 25.8423 + 44.7602i 0.00524238 + 0.00908007i
\(31\) −2442.48 + 4230.50i −0.456485 + 0.790655i −0.998772 0.0495380i \(-0.984225\pi\)
0.542287 + 0.840193i \(0.317558\pi\)
\(32\) 177.816 1008.44i 0.0306970 0.174091i
\(33\) −517.155 + 433.944i −0.0826677 + 0.0693664i
\(34\) 797.711 + 669.359i 0.118345 + 0.0993029i
\(35\) 30.7093 + 174.161i 0.00423740 + 0.0240315i
\(36\) 3634.28 + 1322.77i 0.467372 + 0.170109i
\(37\) 3790.08 0.455139 0.227570 0.973762i \(-0.426922\pi\)
0.227570 + 0.973762i \(0.426922\pi\)
\(38\) −6236.75 + 848.834i −0.700647 + 0.0953594i
\(39\) −1152.91 −0.121377
\(40\) −686.933 250.023i −0.0678835 0.0247076i
\(41\) −3040.19 17241.8i −0.282450 1.60185i −0.714255 0.699886i \(-0.753234\pi\)
0.431805 0.901967i \(-0.357877\pi\)
\(42\) −53.6683 45.0330i −0.00469455 0.00393920i
\(43\) 2760.32 2316.18i 0.227661 0.191030i −0.521821 0.853055i \(-0.674747\pi\)
0.749482 + 0.662025i \(0.230303\pi\)
\(44\) 1658.07 9403.41i 0.129114 0.732240i
\(45\) 1380.49 2391.07i 0.101625 0.176020i
\(46\) −377.895 654.533i −0.0263315 0.0456076i
\(47\) −11856.8 + 4315.52i −0.782930 + 0.284963i −0.702394 0.711789i \(-0.747885\pi\)
−0.0805360 + 0.996752i \(0.525663\pi\)
\(48\) 272.131 99.0477i 0.0170481 0.00620500i
\(49\) 8283.64 + 14347.7i 0.492868 + 0.853673i
\(50\) 5989.07 10373.4i 0.338793 0.586806i
\(51\) −51.1393 + 290.025i −0.00275315 + 0.0156139i
\(52\) 12491.6 10481.7i 0.640633 0.537555i
\(53\) −4935.52 4141.40i −0.241348 0.202515i 0.514088 0.857737i \(-0.328130\pi\)
−0.755436 + 0.655222i \(0.772575\pi\)
\(54\) 380.868 + 2160.01i 0.0177742 + 0.100802i
\(55\) −6405.43 2331.39i −0.285523 0.103922i
\(56\) 990.902 0.0422241
\(57\) −1089.80 1407.47i −0.0444283 0.0573790i
\(58\) −11999.4 −0.468369
\(59\) 1383.96 + 503.721i 0.0517600 + 0.0188391i 0.367770 0.929917i \(-0.380121\pi\)
−0.316010 + 0.948756i \(0.602343\pi\)
\(60\) −35.8998 203.598i −0.00128740 0.00730121i
\(61\) 26681.7 + 22388.6i 0.918097 + 0.770375i 0.973642 0.228081i \(-0.0732452\pi\)
−0.0555449 + 0.998456i \(0.517690\pi\)
\(62\) 14968.4 12560.0i 0.494533 0.414963i
\(63\) −649.881 + 3685.66i −0.0206292 + 0.116994i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) −5820.53 10081.5i −0.170875 0.295965i
\(66\) 2537.54 923.588i 0.0717055 0.0260987i
\(67\) −49505.7 + 18018.6i −1.34731 + 0.490382i −0.912108 0.409950i \(-0.865546\pi\)
−0.435205 + 0.900332i \(0.643324\pi\)
\(68\) −2082.68 3607.30i −0.0546197 0.0946041i
\(69\) 106.872 185.108i 0.00270235 0.00468060i
\(70\) 122.837 696.644i 0.00299629 0.0169928i
\(71\) −1981.49 + 1662.66i −0.0466493 + 0.0391434i −0.665814 0.746118i \(-0.731916\pi\)
0.619165 + 0.785261i \(0.287471\pi\)
\(72\) −11850.8 9943.99i −0.269411 0.226063i
\(73\) 3929.94 + 22287.8i 0.0863136 + 0.489509i 0.997065 + 0.0765545i \(0.0243919\pi\)
−0.910752 + 0.412954i \(0.864497\pi\)
\(74\) −14246.0 5185.14i −0.302423 0.110073i
\(75\) 3387.52 0.0695391
\(76\) 24603.8 + 5341.81i 0.488616 + 0.106085i
\(77\) 9239.84 0.177598
\(78\) 4333.54 + 1577.28i 0.0806503 + 0.0293543i
\(79\) 6692.16 + 37953.1i 0.120642 + 0.684195i 0.983801 + 0.179263i \(0.0573713\pi\)
−0.863159 + 0.504932i \(0.831518\pi\)
\(80\) 2239.97 + 1879.56i 0.0391307 + 0.0328346i
\(81\) 44520.8 37357.4i 0.753963 0.632650i
\(82\) −12160.8 + 68967.1i −0.199722 + 1.13268i
\(83\) −45084.8 + 78089.2i −0.718348 + 1.24422i 0.243305 + 0.969950i \(0.421768\pi\)
−0.961654 + 0.274266i \(0.911565\pi\)
\(84\) 140.118 + 242.691i 0.00216668 + 0.00375280i
\(85\) −2794.26 + 1017.03i −0.0419487 + 0.0152681i
\(86\) −13544.1 + 4929.66i −0.197472 + 0.0718739i
\(87\) −1696.76 2938.88i −0.0240338 0.0416278i
\(88\) −19096.9 + 33076.9i −0.262880 + 0.455321i
\(89\) 15545.0 88159.9i 0.208025 1.17977i −0.684584 0.728934i \(-0.740016\pi\)
0.892609 0.450832i \(-0.148873\pi\)
\(90\) −8460.11 + 7098.87i −0.110095 + 0.0923811i
\(91\) 12087.8 + 10142.9i 0.153019 + 0.128398i
\(92\) 524.966 + 2977.23i 0.00646639 + 0.0366727i
\(93\) 5192.77 + 1890.02i 0.0622576 + 0.0226599i
\(94\) 50471.0 0.589145
\(95\) 6805.51 16635.3i 0.0773663 0.189113i
\(96\) −1158.38 −0.0128285
\(97\) 126019. + 45867.1i 1.35990 + 0.494962i 0.916023 0.401127i \(-0.131381\pi\)
0.443875 + 0.896089i \(0.353604\pi\)
\(98\) −11507.5 65262.3i −0.121036 0.686432i
\(99\) −110505. 92724.5i −1.13316 0.950838i
\(100\) −36703.1 + 30797.6i −0.367031 + 0.307976i
\(101\) 7053.13 40000.3i 0.0687985 0.390175i −0.930892 0.365295i \(-0.880968\pi\)
0.999690 0.0248808i \(-0.00792064\pi\)
\(102\) 588.999 1020.18i 0.00560550 0.00970900i
\(103\) −67023.8 116089.i −0.622495 1.07819i −0.989020 0.147784i \(-0.952786\pi\)
0.366525 0.930408i \(-0.380547\pi\)
\(104\) −61292.8 + 22308.8i −0.555682 + 0.202252i
\(105\) 187.991 68.4233i 0.00166404 0.000605663i
\(106\) 12885.7 + 22318.8i 0.111390 + 0.192932i
\(107\) 35751.7 61923.7i 0.301882 0.522874i −0.674681 0.738110i \(-0.735719\pi\)
0.976562 + 0.215236i \(0.0690519\pi\)
\(108\) 1523.47 8640.04i 0.0125683 0.0712781i
\(109\) 124463. 104437.i 1.00340 0.841953i 0.0159489 0.999873i \(-0.494923\pi\)
0.987452 + 0.157920i \(0.0504787\pi\)
\(110\) 20887.0 + 17526.3i 0.164587 + 0.138105i
\(111\) −744.512 4222.34i −0.00573541 0.0325271i
\(112\) −3724.57 1355.63i −0.0280564 0.0102117i
\(113\) 6880.02 0.0506866 0.0253433 0.999679i \(-0.491932\pi\)
0.0253433 + 0.999679i \(0.491932\pi\)
\(114\) 2170.77 + 6781.31i 0.0156441 + 0.0488710i
\(115\) 2158.19 0.0152176
\(116\) 45102.9 + 16416.1i 0.311214 + 0.113273i
\(117\) −42778.7 242610.i −0.288910 1.63849i
\(118\) −4512.86 3786.74i −0.0298365 0.0250358i
\(119\) 3087.71 2590.89i 0.0199880 0.0167719i
\(120\) −143.599 + 814.391i −0.000910330 + 0.00516274i
\(121\) −97547.2 + 168957.i −0.605692 + 1.04909i
\(122\) −69660.9 120656.i −0.423730 0.733923i
\(123\) −18611.0 + 6773.85i −0.110919 + 0.0403713i
\(124\) −73445.7 + 26732.1i −0.428956 + 0.156127i
\(125\) 34949.2 + 60533.8i 0.200061 + 0.346515i
\(126\) 7485.03 12964.5i 0.0420018 0.0727492i
\(127\) −41924.1 + 237763.i −0.230650 + 1.30808i 0.620933 + 0.783864i \(0.286754\pi\)
−0.851583 + 0.524220i \(0.824357\pi\)
\(128\) 12550.9 10531.4i 0.0677094 0.0568149i
\(129\) −3122.57 2620.15i −0.0165211 0.0138628i
\(130\) 8085.79 + 45856.8i 0.0419628 + 0.237983i
\(131\) 195107. + 71013.2i 0.993333 + 0.361544i 0.787010 0.616940i \(-0.211628\pi\)
0.206323 + 0.978484i \(0.433850\pi\)
\(132\) −10801.6 −0.0539575
\(133\) −956.307 + 24344.4i −0.00468779 + 0.119336i
\(134\) 210732. 1.01384
\(135\) −5885.44 2142.12i −0.0277936 0.0101160i
\(136\) 2893.22 + 16408.3i 0.0134133 + 0.0760704i
\(137\) −5020.60 4212.78i −0.0228536 0.0191764i 0.631289 0.775547i \(-0.282526\pi\)
−0.654143 + 0.756371i \(0.726971\pi\)
\(138\) −654.950 + 549.568i −0.00292759 + 0.00245654i
\(139\) −51049.7 + 289517.i −0.224107 + 1.27098i 0.640277 + 0.768144i \(0.278819\pi\)
−0.864385 + 0.502831i \(0.832292\pi\)
\(140\) −1414.78 + 2450.47i −0.00610055 + 0.0105665i
\(141\) 7136.82 + 12361.3i 0.0302313 + 0.0523621i
\(142\) 9722.61 3538.74i 0.0404634 0.0147275i
\(143\) −571536. + 208022.i −2.33724 + 0.850686i
\(144\) 30940.2 + 53590.0i 0.124342 + 0.215366i
\(145\) 17132.3 29674.1i 0.0676701 0.117208i
\(146\) 15719.8 89151.3i 0.0610329 0.346135i
\(147\) 14356.8 12046.8i 0.0547980 0.0459810i
\(148\) 46453.9 + 38979.5i 0.174328 + 0.146279i
\(149\) 74430.8 + 422118.i 0.274655 + 1.55764i 0.740057 + 0.672545i \(0.234799\pi\)
−0.465402 + 0.885099i \(0.654090\pi\)
\(150\) −12732.9 4634.40i −0.0462062 0.0168177i
\(151\) 486171. 1.73519 0.867595 0.497271i \(-0.165665\pi\)
0.867595 + 0.497271i \(0.165665\pi\)
\(152\) −85172.0 53738.6i −0.299011 0.188659i
\(153\) −62928.1 −0.217328
\(154\) −34730.4 12640.8i −0.118007 0.0429511i
\(155\) 9689.02 + 54949.1i 0.0323929 + 0.183710i
\(156\) −14130.9 11857.3i −0.0464900 0.0390097i
\(157\) 31919.5 26783.6i 0.103349 0.0867202i −0.589649 0.807660i \(-0.700734\pi\)
0.692998 + 0.720939i \(0.256289\pi\)
\(158\) 26768.6 151812.i 0.0853068 0.483799i
\(159\) −3644.20 + 6311.94i −0.0114317 + 0.0198002i
\(160\) −5848.15 10129.3i −0.0180600 0.0312809i
\(161\) −2749.02 + 1000.56i −0.00835820 + 0.00304214i
\(162\) −218451. + 79509.8i −0.653984 + 0.238031i
\(163\) −223334. 386825.i −0.658393 1.14037i −0.981032 0.193848i \(-0.937903\pi\)
0.322639 0.946522i \(-0.395430\pi\)
\(164\) 140062. 242595.i 0.406641 0.704323i
\(165\) −1339.02 + 7593.93i −0.00382891 + 0.0217149i
\(166\) 276296. 231840.i 0.778223 0.653007i
\(167\) −266600. 223704.i −0.739723 0.620701i 0.193040 0.981191i \(-0.438165\pi\)
−0.932763 + 0.360489i \(0.882610\pi\)
\(168\) −194.650 1103.91i −0.000532084 0.00301760i
\(169\) −627152. 228265.i −1.68910 0.614783i
\(170\) 11894.3 0.0315659
\(171\) 255741. 281553.i 0.668820 0.736325i
\(172\) 57653.5 0.148595
\(173\) 583213. + 212272.i 1.48154 + 0.539235i 0.951206 0.308557i \(-0.0998460\pi\)
0.530329 + 0.847792i \(0.322068\pi\)
\(174\) 2357.12 + 13367.9i 0.00590212 + 0.0334726i
\(175\) −35516.8 29802.1i −0.0876675 0.0735618i
\(176\) 117033. 98202.2i 0.284791 0.238968i
\(177\) 289.309 1640.75i 0.000694110 0.00393649i
\(178\) −179040. + 310106.i −0.423545 + 0.733601i
\(179\) −102511. 177554.i −0.239132 0.414188i 0.721334 0.692588i \(-0.243529\pi\)
−0.960465 + 0.278400i \(0.910196\pi\)
\(180\) 41511.4 15108.9i 0.0954963 0.0347578i
\(181\) 12193.3 4437.99i 0.0276646 0.0100691i −0.328151 0.944625i \(-0.606425\pi\)
0.355815 + 0.934556i \(0.384203\pi\)
\(182\) −31559.1 54661.9i −0.0706230 0.122323i
\(183\) 19700.7 34122.7i 0.0434865 0.0753208i
\(184\) 2099.86 11908.9i 0.00457243 0.0259315i
\(185\) 33162.8 27826.9i 0.0712397 0.0597772i
\(186\) −16932.8 14208.3i −0.0358877 0.0301133i
\(187\) 26978.4 + 153002.i 0.0564172 + 0.319958i
\(188\) −189709. 69048.4i −0.391465 0.142482i
\(189\) 8489.75 0.0172878
\(190\) −48338.7 + 53217.6i −0.0971429 + 0.106948i
\(191\) 976921. 1.93765 0.968826 0.247741i \(-0.0796883\pi\)
0.968826 + 0.247741i \(0.0796883\pi\)
\(192\) 4354.10 + 1584.76i 0.00852404 + 0.00310250i
\(193\) −140256. 795431.i −0.271037 1.53713i −0.751276 0.659988i \(-0.770561\pi\)
0.480240 0.877137i \(-0.340550\pi\)
\(194\) −410926. 344808.i −0.783897 0.657768i
\(195\) −10087.9 + 8464.73i −0.0189982 + 0.0159414i
\(196\) −46030.1 + 261049.i −0.0855857 + 0.485381i
\(197\) −319195. + 552862.i −0.585990 + 1.01496i 0.408761 + 0.912641i \(0.365961\pi\)
−0.994751 + 0.102323i \(0.967372\pi\)
\(198\) 288507. + 499709.i 0.522991 + 0.905846i
\(199\) 10739.0 3908.69i 0.0192235 0.00699678i −0.332391 0.943142i \(-0.607855\pi\)
0.351614 + 0.936145i \(0.385633\pi\)
\(200\) 180092. 65548.2i 0.318361 0.115874i
\(201\) 29798.4 + 51612.3i 0.0520238 + 0.0901079i
\(202\) −81234.8 + 140703.i −0.140076 + 0.242619i
\(203\) −8065.27 + 45740.4i −0.0137366 + 0.0779041i
\(204\) −3609.59 + 3028.81i −0.00607272 + 0.00509561i
\(205\) −153191. 128543.i −0.254594 0.213630i
\(206\) 93108.4 + 528044.i 0.152870 + 0.866966i
\(207\) 42918.0 + 15620.9i 0.0696168 + 0.0253384i
\(208\) 260906. 0.418144
\(209\) −794201. 501095.i −1.25766 0.793513i
\(210\) −800.225 −0.00125217
\(211\) 579329. + 210858.i 0.895816 + 0.326050i 0.748575 0.663050i \(-0.230738\pi\)
0.147241 + 0.989101i \(0.452961\pi\)
\(212\) −17900.7 101520.i −0.0273546 0.155135i
\(213\) 2241.53 + 1880.86i 0.00338528 + 0.00284059i
\(214\) −219099. + 183846.i −0.327044 + 0.274422i
\(215\) 7147.01 40532.7i 0.0105446 0.0598011i
\(216\) −17546.6 + 30391.7i −0.0255894 + 0.0443221i
\(217\) −37816.5 65500.1i −0.0545170 0.0944262i
\(218\) −610707. + 222279.i −0.870345 + 0.316780i
\(219\) 24057.7 8756.30i 0.0338957 0.0123370i
\(220\) −54532.1 94452.4i −0.0759619 0.131570i
\(221\) −132662. + 229777.i −0.182711 + 0.316465i
\(222\) −2978.05 + 16889.4i −0.00405555 + 0.0230001i
\(223\) 692247. 580864.i 0.932178 0.782190i −0.0440290 0.999030i \(-0.514019\pi\)
0.976207 + 0.216840i \(0.0695750\pi\)
\(224\) 12145.2 + 10191.0i 0.0161728 + 0.0135706i
\(225\) 125693. + 712843.i 0.165522 + 0.938723i
\(226\) −25860.4 9412.42i −0.0336794 0.0122583i
\(227\) −88995.6 −0.114631 −0.0573157 0.998356i \(-0.518254\pi\)
−0.0573157 + 0.998356i \(0.518254\pi\)
\(228\) 1117.94 28459.2i 0.00142424 0.0362564i
\(229\) 588108. 0.741086 0.370543 0.928815i \(-0.379172\pi\)
0.370543 + 0.928815i \(0.379172\pi\)
\(230\) −8112.14 2952.58i −0.0101115 0.00368029i
\(231\) −1815.05 10293.6i −0.00223799 0.0126923i
\(232\) −147073. 123409.i −0.179396 0.150531i
\(233\) −744509. + 624717.i −0.898421 + 0.753865i −0.969881 0.243579i \(-0.921679\pi\)
0.0714599 + 0.997443i \(0.477234\pi\)
\(234\) −171115. + 970439.i −0.204290 + 1.15859i
\(235\) −72061.0 + 124813.i −0.0851198 + 0.147432i
\(236\) 11782.3 + 20407.5i 0.0137705 + 0.0238511i
\(237\) 40967.1 14910.8i 0.0473766 0.0172437i
\(238\) −15150.5 + 5514.34i −0.0173375 + 0.00631032i
\(239\) −149743. 259363.i −0.169571 0.293706i 0.768698 0.639612i \(-0.220905\pi\)
−0.938269 + 0.345906i \(0.887572\pi\)
\(240\) 1653.91 2864.65i 0.00185346 0.00321029i
\(241\) −160914. + 912588.i −0.178464 + 1.01212i 0.755605 + 0.655028i \(0.227343\pi\)
−0.934069 + 0.357093i \(0.883768\pi\)
\(242\) 597804. 501617.i 0.656176 0.550597i
\(243\) −152435. 127908.i −0.165603 0.138958i
\(244\) 96771.9 + 548821.i 0.104058 + 0.590141i
\(245\) 177822. + 64722.0i 0.189265 + 0.0688869i
\(246\) 79221.6 0.0834653
\(247\) −488928. 1.52737e6i −0.509921 1.59295i
\(248\) 312637. 0.322784
\(249\) 95851.5 + 34887.1i 0.0979717 + 0.0356588i
\(250\) −48550.9 275346.i −0.0491301 0.278630i
\(251\) 460466. + 386377.i 0.461332 + 0.387103i 0.843621 0.536939i \(-0.180420\pi\)
−0.382289 + 0.924043i \(0.624864\pi\)
\(252\) −45870.9 + 38490.3i −0.0455026 + 0.0381812i
\(253\) 19580.5 111047.i 0.0192320 0.109070i
\(254\) 482862. 836342.i 0.469612 0.813392i
\(255\) 1681.91 + 2913.16i 0.00161977 + 0.00280552i
\(256\) −61583.7 + 22414.6i −0.0587308 + 0.0213763i
\(257\) −944940. + 343930.i −0.892425 + 0.324816i −0.747213 0.664585i \(-0.768609\pi\)
−0.145212 + 0.989401i \(0.546386\pi\)
\(258\) 8152.45 + 14120.5i 0.00762499 + 0.0132069i
\(259\) −29340.6 + 50819.4i −0.0271781 + 0.0470739i
\(260\) 32343.2 183427.i 0.0296722 0.168279i
\(261\) 555476. 466100.i 0.504736 0.423524i
\(262\) −636211. 533844.i −0.572595 0.480465i
\(263\) 344305. + 1.95265e6i 0.306940 + 1.74075i 0.614228 + 0.789129i \(0.289468\pi\)
−0.307288 + 0.951617i \(0.599421\pi\)
\(264\) 40600.6 + 14777.4i 0.0358528 + 0.0130493i
\(265\) −73591.5 −0.0643744
\(266\) 36899.7 90196.9i 0.0319756 0.0781605i
\(267\) −101268. −0.0869349
\(268\) −792092. 288298.i −0.673656 0.245191i
\(269\) −41582.3 235825.i −0.0350371 0.198705i 0.962265 0.272115i \(-0.0877231\pi\)
−0.997302 + 0.0734097i \(0.976612\pi\)
\(270\) 19191.4 + 16103.5i 0.0160213 + 0.0134435i
\(271\) 664481. 557565.i 0.549616 0.461182i −0.325195 0.945647i \(-0.605430\pi\)
0.874811 + 0.484465i \(0.160986\pi\)
\(272\) 11572.9 65633.1i 0.00948461 0.0537899i
\(273\) 8925.19 15458.9i 0.00724788 0.0125537i
\(274\) 13107.9 + 22703.5i 0.0105476 + 0.0182691i
\(275\) 1.67930e6 611216.i 1.33905 0.487375i
\(276\) 3213.66 1169.68i 0.00253938 0.000924257i
\(277\) −749365. 1.29794e6i −0.586805 1.01638i −0.994648 0.103324i \(-0.967052\pi\)
0.407843 0.913052i \(-0.366281\pi\)
\(278\) 587967. 1.01839e6i 0.456290 0.790317i
\(279\) −205043. + 1.16285e6i −0.157701 + 0.894365i
\(280\) 8670.28 7275.23i 0.00660904 0.00554564i
\(281\) −681274. 571657.i −0.514702 0.431886i 0.348078 0.937466i \(-0.386834\pi\)
−0.862780 + 0.505579i \(0.831279\pi\)
\(282\) −9914.36 56227.1i −0.00742407 0.0421040i
\(283\) −1.31760e6 479569.i −0.977955 0.355947i −0.196910 0.980421i \(-0.563091\pi\)
−0.781045 + 0.624475i \(0.785313\pi\)
\(284\) −41386.4 −0.0304482
\(285\) −19869.3 4313.90i −0.0144901 0.00314599i
\(286\) 2.43286e6 1.75874
\(287\) 254722. + 92711.4i 0.182542 + 0.0664398i
\(288\) −42981.7 243761.i −0.0305353 0.173174i
\(289\) −1.03576e6 869102.i −0.729479 0.612105i
\(290\) −104993. + 88099.7i −0.0733104 + 0.0615148i
\(291\) 26343.5 149401.i 0.0182364 0.103424i
\(292\) −181053. + 313593.i −0.124265 + 0.215233i
\(293\) 578159. + 1.00140e6i 0.393440 + 0.681458i 0.992901 0.118946i \(-0.0379516\pi\)
−0.599461 + 0.800404i \(0.704618\pi\)
\(294\) −70445.0 + 25639.9i −0.0475315 + 0.0173001i
\(295\) 15807.8 5753.59i 0.0105759 0.00384932i
\(296\) −121283. 210068.i −0.0804580 0.139357i
\(297\) −163617. + 283393.i −0.107631 + 0.186422i
\(298\) 297723. 1.68847e6i 0.194210 1.10142i
\(299\) 147516. 123781.i 0.0954247 0.0800708i
\(300\) 41519.9 + 34839.3i 0.0266350 + 0.0223494i
\(301\) 9687.82 + 54942.4i 0.00616325 + 0.0349535i
\(302\) −1.82741e6 665122.i −1.15297 0.419647i
\(303\) −45947.8 −0.0287514
\(304\) 246623. + 318513.i 0.153056 + 0.197671i
\(305\) 397840. 0.244883
\(306\) 236532. + 86090.7i 0.144407 + 0.0525597i
\(307\) −89080.6 505201.i −0.0539432 0.305927i 0.945884 0.324504i \(-0.105198\pi\)
−0.999827 + 0.0185771i \(0.994086\pi\)
\(308\) 113250. + 95028.0i 0.0680239 + 0.0570788i
\(309\) −116162. + 97471.8i −0.0692101 + 0.0580742i
\(310\) 38756.1 219797.i 0.0229053 0.129902i
\(311\) −690771. + 1.19645e6i −0.404980 + 0.701445i −0.994319 0.106440i \(-0.966055\pi\)
0.589339 + 0.807886i \(0.299388\pi\)
\(312\) 36893.2 + 63901.0i 0.0214566 + 0.0371639i
\(313\) 245509. 89358.0i 0.141647 0.0515552i −0.270224 0.962797i \(-0.587098\pi\)
0.411871 + 0.911242i \(0.364876\pi\)
\(314\) −156620. + 57005.1i −0.0896445 + 0.0326279i
\(315\) 21373.8 + 37020.6i 0.0121369 + 0.0210216i
\(316\) −308309. + 534007.i −0.173687 + 0.300835i
\(317\) −505030. + 2.86417e6i −0.282273 + 1.60085i 0.432595 + 0.901588i \(0.357598\pi\)
−0.714868 + 0.699260i \(0.753513\pi\)
\(318\) 22333.0 18739.6i 0.0123845 0.0103918i
\(319\) −1.37141e6 1.15075e6i −0.754552 0.633144i
\(320\) 8124.17 + 46074.4i 0.00443511 + 0.0251527i
\(321\) −76009.0 27665.0i −0.0411720 0.0149854i
\(322\) 11701.8 0.00628944
\(323\) −405910. + 55245.2i −0.216483 + 0.0294637i
\(324\) 929884. 0.492115
\(325\) 2.86787e6 + 1.04382e6i 1.50609 + 0.548171i
\(326\) 310252. + 1.75953e6i 0.161685 + 0.916963i
\(327\) −140797. 118143.i −0.0728156 0.0610995i
\(328\) −858350. + 720242.i −0.440535 + 0.369652i
\(329\) 33923.6 192391.i 0.0172788 0.0979928i
\(330\) 15422.2 26712.0i 0.00779580 0.0135027i
\(331\) 688597. + 1.19269e6i 0.345458 + 0.598351i 0.985437 0.170042i \(-0.0543902\pi\)
−0.639979 + 0.768393i \(0.721057\pi\)
\(332\) −1.35571e6 + 493437.i −0.675027 + 0.245690i
\(333\) 860890. 313338.i 0.425439 0.154847i
\(334\) 696044. + 1.20558e6i 0.341405 + 0.591331i
\(335\) −300877. + 521133.i −0.146479 + 0.253710i
\(336\) −778.599 + 4415.65i −0.000376241 + 0.00213377i
\(337\) −1.96245e6 + 1.64669e6i −0.941290 + 0.789836i −0.977809 0.209497i \(-0.932817\pi\)
0.0365192 + 0.999333i \(0.488373\pi\)
\(338\) 2.04504e6 + 1.71599e6i 0.973664 + 0.817001i
\(339\) −1351.49 7664.68i −0.000638724 0.00362239i
\(340\) −44708.1 16272.4i −0.0209744 0.00763404i
\(341\) 2.91524e6 1.35765
\(342\) −1.34646e6 + 708419.i −0.622483 + 0.327510i
\(343\) −516729. −0.237152
\(344\) −216706. 78874.6i −0.0987359 0.0359369i
\(345\) −423.948 2404.33i −0.000191763 0.00108754i
\(346\) −1.90176e6 1.59576e6i −0.854014 0.716603i
\(347\) −400345. + 335930.i −0.178489 + 0.149770i −0.727655 0.685943i \(-0.759390\pi\)
0.549166 + 0.835713i \(0.314945\pi\)
\(348\) 9428.47 53471.5i 0.00417343 0.0236687i
\(349\) 343066. 594207.i 0.150770 0.261140i −0.780741 0.624855i \(-0.785158\pi\)
0.931511 + 0.363714i \(0.118492\pi\)
\(350\) 92727.8 + 160609.i 0.0404613 + 0.0700810i
\(351\) −525138. + 191135.i −0.227513 + 0.0828079i
\(352\) −574248. + 209009.i −0.247026 + 0.0899101i
\(353\) −759987. 1.31634e6i −0.324616 0.562251i 0.656819 0.754049i \(-0.271902\pi\)
−0.981435 + 0.191797i \(0.938568\pi\)
\(354\) −3332.12 + 5771.41i −0.00141323 + 0.00244779i
\(355\) −5130.46 + 29096.3i −0.00216065 + 0.0122537i
\(356\) 1.09722e6 920676.i 0.458848 0.385019i
\(357\) −3492.92 2930.91i −0.00145050 0.00121712i
\(358\) 142406. + 807627.i 0.0587249 + 0.333045i
\(359\) 1.61275e6 + 586993.i 0.660436 + 0.240379i 0.650425 0.759571i \(-0.274591\pi\)
0.0100115 + 0.999950i \(0.496813\pi\)
\(360\) −176702. −0.0718597
\(361\) 1.40245e6 2.04064e6i 0.566393 0.824135i
\(362\) −51903.3 −0.0208173
\(363\) 207388. + 75483.1i 0.0826070 + 0.0300665i
\(364\) 43841.4 + 248637.i 0.0173433 + 0.0983586i
\(365\) 198024. + 166162.i 0.0778012 + 0.0652830i
\(366\) −120733. + 101307.i −0.0471111 + 0.0395309i
\(367\) −36297.8 + 205855.i −0.0140675 + 0.0797805i −0.991033 0.133615i \(-0.957341\pi\)
0.976966 + 0.213396i \(0.0684524\pi\)
\(368\) −24185.3 + 41890.1i −0.00930961 + 0.0161247i
\(369\) −2.11599e6 3.66500e6i −0.808999 1.40123i
\(370\) −162721. + 59225.5i −0.0617929 + 0.0224908i
\(371\) 93738.0 34117.8i 0.0353574 0.0128691i
\(372\) 44208.3 + 76571.0i 0.0165633 + 0.0286884i
\(373\) 1.48399e6 2.57035e6i 0.552281 0.956578i −0.445829 0.895118i \(-0.647091\pi\)
0.998110 0.0614598i \(-0.0195756\pi\)
\(374\) 107913. 612007.i 0.0398930 0.226244i
\(375\) 60572.3 50826.2i 0.0222431 0.0186642i
\(376\) 618608. + 519074.i 0.225656 + 0.189347i
\(377\) −530899. 3.01088e6i −0.192380 1.09104i
\(378\) −31911.0 11614.7i −0.0114871 0.00418097i
\(379\) −4.32371e6 −1.54617 −0.773087 0.634300i \(-0.781288\pi\)
−0.773087 + 0.634300i \(0.781288\pi\)
\(380\) 254500. 133902.i 0.0904126 0.0475693i
\(381\) 273115. 0.0963904
\(382\) −3.67202e6 1.33651e6i −1.28750 0.468611i
\(383\) −768680. 4.35940e6i −0.267762 1.51855i −0.761053 0.648689i \(-0.775317\pi\)
0.493291 0.869864i \(-0.335794\pi\)
\(384\) −14198.0 11913.5i −0.00491359 0.00412299i
\(385\) 80847.6 67839.2i 0.0277981 0.0233254i
\(386\) −561024. + 3.18172e6i −0.191652 + 1.08691i
\(387\) 435500. 754309.i 0.147812 0.256019i
\(388\) 1.07285e6 + 1.85823e6i 0.361793 + 0.626644i
\(389\) 2.51940e6 916987.i 0.844158 0.307248i 0.116502 0.993190i \(-0.462832\pi\)
0.727656 + 0.685942i \(0.240610\pi\)
\(390\) 49498.4 18015.9i 0.0164790 0.00599785i
\(391\) −24594.8 42599.4i −0.00813581 0.0140916i
\(392\) 530153. 918252.i 0.174255 0.301819i
\(393\) 40785.9 231308.i 0.0133208 0.0755458i
\(394\) 1.95614e6 1.64140e6i 0.634833 0.532688i
\(395\) 337209. + 282952.i 0.108744 + 0.0912472i
\(396\) −400790. 2.27299e6i −0.128434 0.728384i
\(397\) 5.05560e6 + 1.84009e6i 1.60989 + 0.585952i 0.981418 0.191881i \(-0.0614587\pi\)
0.628471 + 0.777833i \(0.283681\pi\)
\(398\) −45712.9 −0.0144654
\(399\) 27308.8 3716.77i 0.00858756 0.00116878i
\(400\) −766601. −0.239563
\(401\) −1.58753e6 577812.i −0.493015 0.179443i 0.0835349 0.996505i \(-0.473379\pi\)
−0.576550 + 0.817062i \(0.695601\pi\)
\(402\) −41395.5 234765.i −0.0127758 0.0724551i
\(403\) 3.81381e6 + 3.20016e6i 1.16976 + 0.981543i
\(404\) 497836. 417734.i 0.151751 0.127334i
\(405\) 115273. 653746.i 0.0349213 0.198048i
\(406\) 92892.1 160894.i 0.0279682 0.0484423i
\(407\) −1.13092e6 1.95881e6i −0.338412 0.586148i
\(408\) 17711.3 6446.38i 0.00526744 0.00191719i
\(409\) −3.10067e6 + 1.12855e6i −0.916532 + 0.333590i −0.756858 0.653579i \(-0.773267\pi\)
−0.159674 + 0.987170i \(0.551044\pi\)
\(410\) 399953. + 692740.i 0.117503 + 0.203522i
\(411\) −3707.02 + 6420.74i −0.00108248 + 0.00187491i
\(412\) 372434. 2.11218e6i 0.108095 0.613038i
\(413\) −17468.0 + 14657.4i −0.00503927 + 0.00422845i
\(414\) −139948. 117431.i −0.0401298 0.0336729i
\(415\) 178846. + 1.01429e6i 0.0509752 + 0.289095i
\(416\) −980685. 356940.i −0.277841 0.101126i
\(417\) 332564. 0.0936560
\(418\) 2.29968e6 + 2.97003e6i 0.643764 + 0.831420i
\(419\) −6.35878e6 −1.76945 −0.884726 0.466112i \(-0.845654\pi\)
−0.884726 + 0.466112i \(0.845654\pi\)
\(420\) 3007.86 + 1094.77i 0.000832022 + 0.000302831i
\(421\) 957000. + 5.42742e6i 0.263152 + 1.49241i 0.774246 + 0.632884i \(0.218129\pi\)
−0.511094 + 0.859525i \(0.670760\pi\)
\(422\) −1.88909e6 1.58514e6i −0.516383 0.433297i
\(423\) −2.33641e6 + 1.96048e6i −0.634889 + 0.532735i
\(424\) −71602.7 + 406079.i −0.0193426 + 0.109697i
\(425\) 389790. 675136.i 0.104679 0.181309i
\(426\) −5852.21 10136.3i −0.00156241 0.00270618i
\(427\) −506752. + 184443.i −0.134501 + 0.0489544i
\(428\) 1.07506e6 391289.i 0.283676 0.103250i
\(429\) 344017. + 595856.i 0.0902479 + 0.156314i
\(430\) −82316.0 + 142575.i −0.0214691 + 0.0371855i
\(431\) −128666. + 729700.i −0.0333634 + 0.189213i −0.996935 0.0782385i \(-0.975070\pi\)
0.963571 + 0.267452i \(0.0861816\pi\)
\(432\) 107532. 90230.1i 0.0277223 0.0232617i
\(433\) 1.90445e6 + 1.59802e6i 0.488145 + 0.409602i 0.853361 0.521321i \(-0.174560\pi\)
−0.365216 + 0.930923i \(0.619005\pi\)
\(434\) 52534.1 + 297936.i 0.0133880 + 0.0759274i
\(435\) −36423.8 13257.2i −0.00922917 0.00335914i
\(436\) 2.59960e6 0.654923
\(437\) 290551. + 63082.5i 0.0727812 + 0.0158018i
\(438\) −102407. −0.0255061
\(439\) 4.12968e6 + 1.50308e6i 1.02272 + 0.372239i 0.798303 0.602256i \(-0.205731\pi\)
0.224414 + 0.974494i \(0.427953\pi\)
\(440\) 75755.2 + 429629.i 0.0186544 + 0.105794i
\(441\) 3.06774e6 + 2.57414e6i 0.751142 + 0.630283i
\(442\) 812998. 682186.i 0.197940 0.166091i
\(443\) 1.00942e6 5.72471e6i 0.244379 1.38594i −0.577553 0.816354i \(-0.695992\pi\)
0.821931 0.569587i \(-0.192897\pi\)
\(444\) 34299.8 59409.0i 0.00825723 0.0143019i
\(445\) −511256. 885521.i −0.122388 0.211982i
\(446\) −3.39667e6 + 1.23629e6i −0.808567 + 0.294294i
\(447\) 455639. 165839.i 0.107858 0.0392571i
\(448\) −31708.9 54921.4i −0.00746424 0.0129284i
\(449\) −3.74499e6 + 6.48652e6i −0.876668 + 1.51843i −0.0216932 + 0.999765i \(0.506906\pi\)
−0.854975 + 0.518669i \(0.826428\pi\)
\(450\) 502774. 2.85137e6i 0.117042 0.663778i
\(451\) −8.00384e6 + 6.71602e6i −1.85292 + 1.55479i
\(452\) 84326.4 + 70758.2i 0.0194141 + 0.0162904i
\(453\) −95502.0 541619.i −0.0218659 0.124008i
\(454\) 334514. + 121753.i 0.0761683 + 0.0277230i
\(455\) 180237. 0.0408145
\(456\) −43136.5 + 105442.i −0.00971478 + 0.0237466i
\(457\) −3.32838e6 −0.745491 −0.372745 0.927934i \(-0.621584\pi\)
−0.372745 + 0.927934i \(0.621584\pi\)
\(458\) −2.21056e6 804580.i −0.492424 0.179228i
\(459\) 24788.3 + 140581.i 0.00549179 + 0.0311455i
\(460\) 26452.3 + 22196.1i 0.00582866 + 0.00489083i
\(461\) 6.10122e6 5.11953e6i 1.33710 1.12196i 0.354741 0.934965i \(-0.384569\pi\)
0.982361 0.186996i \(-0.0598753\pi\)
\(462\) −7260.18 + 41174.5i −0.00158250 + 0.00897478i
\(463\) −3.15816e6 + 5.47009e6i −0.684670 + 1.18588i 0.288870 + 0.957368i \(0.406720\pi\)
−0.973540 + 0.228515i \(0.926613\pi\)
\(464\) 383980. + 665072.i 0.0827967 + 0.143408i
\(465\) 59312.8 21588.1i 0.0127208 0.00463001i
\(466\) 3.65310e6 1.32962e6i 0.779286 0.283637i
\(467\) 3.09823e6 + 5.36629e6i 0.657387 + 1.13863i 0.981290 + 0.192538i \(0.0616718\pi\)
−0.323902 + 0.946091i \(0.604995\pi\)
\(468\) 1.97082e6 3.41356e6i 0.415942 0.720432i
\(469\) 141641. 803289.i 0.0297343 0.168632i
\(470\) 441615. 370559.i 0.0922146 0.0773772i
\(471\) −36108.4 30298.6i −0.00749992 0.00629318i
\(472\) −16367.7 92826.0i −0.00338169 0.0191785i
\(473\) −2.02071e6 735480.i −0.415291 0.151153i
\(474\) −174385. −0.0356503
\(475\) 1.43658e6 + 4.48776e6i 0.292144 + 0.912632i
\(476\) 64491.5 0.0130462
\(477\) −1.46345e6 532653.i −0.294498 0.107188i
\(478\) 208021. + 1.17975e6i 0.0416426 + 0.236167i
\(479\) −2.38916e6 2.00475e6i −0.475781 0.399228i 0.373117 0.927784i \(-0.378289\pi\)
−0.848898 + 0.528557i \(0.822733\pi\)
\(480\) −10135.7 + 8504.90i −0.00200795 + 0.00168487i
\(481\) 670753. 3.80403e6i 0.132190 0.749689i
\(482\) 1.85333e6 3.21007e6i 0.363359 0.629356i
\(483\) 1654.68 + 2865.99i 0.000322735 + 0.000558994i
\(484\) −2.93326e6 + 1.06762e6i −0.569164 + 0.207159i
\(485\) 1.43941e6 523902.i 0.277862 0.101134i
\(486\) 397979. + 689320.i 0.0764311 + 0.132382i
\(487\) −1.90422e6 + 3.29820e6i −0.363827 + 0.630166i −0.988587 0.150650i \(-0.951863\pi\)
0.624760 + 0.780816i \(0.285197\pi\)
\(488\) 387088. 2.19528e6i 0.0735800 0.417293i
\(489\) −387071. + 324791.i −0.0732013 + 0.0614232i
\(490\) −579848. 486550.i −0.109100 0.0915456i
\(491\) −1.80155e6 1.02171e7i −0.337242 1.91260i −0.403868 0.914817i \(-0.632335\pi\)
0.0666263 0.997778i \(-0.478776\pi\)
\(492\) −297776. 108382.i −0.0554596 0.0201856i
\(493\) −780962. −0.144715
\(494\) −251797. + 6.40993e6i −0.0464230 + 1.18178i
\(495\) −1.64769e6 −0.302247
\(496\) −1.17513e6 427713.i −0.214478 0.0780635i
\(497\) −6954.37 39440.2i −0.00126289 0.00716223i
\(498\) −312556. 262265.i −0.0564747 0.0473879i
\(499\) 5.77506e6 4.84585e6i 1.03826 0.871201i 0.0464469 0.998921i \(-0.485210\pi\)
0.991810 + 0.127720i \(0.0407657\pi\)
\(500\) −194204. + 1.10138e6i −0.0347402 + 0.197021i
\(501\) −196847. + 340949.i −0.0350377 + 0.0606870i
\(502\) −1.20219e6 2.08226e6i −0.212919 0.368787i
\(503\) 5.41426e6 1.97063e6i 0.954155 0.347284i 0.182415 0.983222i \(-0.441609\pi\)
0.771740 + 0.635938i \(0.219386\pi\)
\(504\) 225076. 81921.0i 0.0394687 0.0143654i
\(505\) −231969. 401783.i −0.0404764 0.0701072i
\(506\) −225520. + 390612.i −0.0391569 + 0.0678217i
\(507\) −131102. + 743517.i −0.0226511 + 0.128461i
\(508\) −2.95915e6 + 2.48302e6i −0.508754 + 0.426896i
\(509\) −41122.5 34505.9i −0.00703534 0.00590335i 0.639263 0.768988i \(-0.279239\pi\)
−0.646299 + 0.763085i \(0.723684\pi\)
\(510\) −2336.49 13250.9i −0.000397775 0.00225590i
\(511\) −329270. 119845.i −0.0557828 0.0203033i
\(512\) 262144. 0.0441942
\(513\) −729728. 460416.i −0.122424 0.0772426i
\(514\) 4.02234e6 0.671538
\(515\) −1.43878e6 523672.i −0.239043 0.0870044i
\(516\) −11325.3 64228.8i −0.00187251 0.0106195i
\(517\) 5.76832e6 + 4.84019e6i 0.949124 + 0.796410i
\(518\) 179810. 150878.i 0.0294435 0.0247060i
\(519\) 121917. 691426.i 0.0198676 0.112675i
\(520\) −372514. + 645213.i −0.0604135 + 0.104639i
\(521\) −139887. 242291.i −0.0225779 0.0391060i 0.854516 0.519426i \(-0.173854\pi\)
−0.877094 + 0.480320i \(0.840521\pi\)
\(522\) −2.72557e6 + 992026.i −0.437805 + 0.159348i
\(523\) 5.54069e6 2.01665e6i 0.885747 0.322385i 0.141220 0.989978i \(-0.454898\pi\)
0.744527 + 0.667593i \(0.232675\pi\)
\(524\) 1.66103e6 + 2.87699e6i 0.264271 + 0.457730i
\(525\) −26224.2 + 45421.7i −0.00415245 + 0.00719226i
\(526\) 1.37722e6 7.81060e6i 0.217040 1.23089i
\(527\) 974196. 817447.i 0.152799 0.128213i
\(528\) −132392. 111090.i −0.0206669 0.0173416i
\(529\) −1.11146e6 6.30340e6i −0.172685 0.979345i
\(530\) 276614. + 100679.i 0.0427744 + 0.0155686i
\(531\) 356001. 0.0547917
\(532\) −262094. + 288548.i −0.0401493 + 0.0442016i
\(533\) −1.78433e7 −2.72055
\(534\) 380643. + 138543.i 0.0577651 + 0.0210248i
\(535\) −141822. 804315.i −0.0214220 0.121490i
\(536\) 2.58288e6 + 2.16729e6i 0.388322 + 0.325841i
\(537\) −177667. + 149080.i −0.0265871 + 0.0223092i
\(538\) −166329. + 943300.i −0.0247750 + 0.140506i
\(539\) 4.94350e6 8.56240e6i 0.732931 1.26947i
\(540\) −50105.2 86784.8i −0.00739432 0.0128073i
\(541\) 1.31836e6 479845.i 0.193661 0.0704868i −0.243369 0.969934i \(-0.578253\pi\)
0.437030 + 0.899447i \(0.356030\pi\)
\(542\) −3.26042e6 + 1.18670e6i −0.476734 + 0.173517i
\(543\) −7339.35 12712.1i −0.00106821 0.00185020i
\(544\) −133291. + 230867.i −0.0193110 + 0.0334476i
\(545\) 322259. 1.82762e6i 0.0464745 0.263570i
\(546\) −54696.7 + 45896.0i −0.00785199 + 0.00658860i
\(547\) 3.65234e6 + 3.06468e6i 0.521919 + 0.437942i 0.865300 0.501254i \(-0.167128\pi\)
−0.343381 + 0.939196i \(0.611572\pi\)
\(548\) −18209.2 103270.i −0.00259024 0.0146900i
\(549\) 7.91149e6 + 2.87955e6i 1.12028 + 0.407749i
\(550\) −7.14830e6 −1.00762
\(551\) 3.17384e6 3.49418e6i 0.445354 0.490305i
\(552\) −13679.6 −0.00191085
\(553\) −560702. 204079.i −0.0779686 0.0283782i
\(554\) 1.04101e6 + 5.90384e6i 0.144105 + 0.817260i
\(555\) −37514.9 31478.8i −0.00516978 0.00433796i
\(556\) −3.60327e6 + 3.02350e6i −0.494322 + 0.414785i
\(557\) −363259. + 2.06015e6i −0.0496111 + 0.281359i −0.999514 0.0311880i \(-0.990071\pi\)
0.949902 + 0.312547i \(0.101182\pi\)
\(558\) 2.36159e6 4.09039e6i 0.321084 0.556133i
\(559\) −1.83620e6 3.18039e6i −0.248536 0.430477i
\(560\) −42542.7 + 15484.3i −0.00573264 + 0.00208651i
\(561\) 165152. 60110.4i 0.0221553 0.00806385i
\(562\) 1.77868e6 + 3.08076e6i 0.237551 + 0.411450i
\(563\) 3.56651e6 6.17738e6i 0.474212 0.821360i −0.525352 0.850885i \(-0.676066\pi\)
0.999564 + 0.0295254i \(0.00939960\pi\)
\(564\) −39657.5 + 224909.i −0.00524961 + 0.0297720i
\(565\) 60199.4 50513.3i 0.00793361 0.00665709i
\(566\) 4.29648e6 + 3.60518e6i 0.563731 + 0.473027i
\(567\) 156253. + 886157.i 0.0204114 + 0.115759i
\(568\) 155562. + 56619.9i 0.0202317 + 0.00736373i
\(569\) −1.17282e7 −1.51863 −0.759314 0.650725i \(-0.774465\pi\)
−0.759314 + 0.650725i \(0.774465\pi\)
\(570\) 68782.6 + 43397.8i 0.00886730 + 0.00559475i
\(571\) −7.62656e6 −0.978900 −0.489450 0.872031i \(-0.662802\pi\)
−0.489450 + 0.872031i \(0.662802\pi\)
\(572\) −9.14457e6 3.32835e6i −1.16862 0.425343i
\(573\) −191903. 1.08834e6i −0.0244172 0.138477i
\(574\) −830606. 696962.i −0.105224 0.0882936i
\(575\) −433435. + 363695.i −0.0546707 + 0.0458742i
\(576\) −171927. + 975045.i −0.0215917 + 0.122453i
\(577\) 3.40972e6 5.90580e6i 0.426362 0.738481i −0.570184 0.821517i \(-0.693128\pi\)
0.996547 + 0.0830359i \(0.0264616\pi\)
\(578\) 2.70417e6 + 4.68375e6i 0.336677 + 0.583142i
\(579\) −858598. + 312504.i −0.106437 + 0.0387400i
\(580\) 515173. 187507.i 0.0635891 0.0231445i
\(581\) −698041. 1.20904e6i −0.0857908 0.148594i
\(582\) −303412. + 525525.i −0.0371300 + 0.0643111i
\(583\) −667672. + 3.78656e6i −0.0813564 + 0.461395i
\(584\) 1.10956e6 931030.i 0.134623 0.112962i
\(585\) −2.15556e6 1.80873e6i −0.260417 0.218516i
\(586\) −803170. 4.55501e6i −0.0966193 0.547955i
\(587\) 1.46078e7 + 5.31681e6i 1.74981 + 0.636877i 0.999701 0.0244425i \(-0.00778107\pi\)
0.750104 + 0.661320i \(0.230003\pi\)
\(588\) 299864. 0.0357669
\(589\) −301722. + 7.68086e6i −0.0358360 + 0.912266i
\(590\) −67289.4 −0.00795824
\(591\) 678617. + 246996.i 0.0799201 + 0.0290885i
\(592\) 168484. + 955521.i 0.0197585 + 0.112056i
\(593\) 8.10680e6 + 6.80242e6i 0.946701 + 0.794377i 0.978739 0.205110i \(-0.0657552\pi\)
−0.0320376 + 0.999487i \(0.510200\pi\)
\(594\) 1.00270e6 841367.i 0.116602 0.0978406i
\(595\) 7994.68 45340.1i 0.000925782 0.00525037i
\(596\) −3.42904e6 + 5.93927e6i −0.395418 + 0.684885i
\(597\) −6464.01 11196.0i −0.000742277 0.00128566i
\(598\) −723820. + 263449.i −0.0827709 + 0.0301261i
\(599\) 1.99607e6 726509.i 0.227305 0.0827321i −0.225857 0.974160i \(-0.572518\pi\)
0.453162 + 0.891428i \(0.350296\pi\)
\(600\) −108401. 187756.i −0.0122929 0.0212919i
\(601\) −4.92964e6 + 8.53839e6i −0.556710 + 0.964251i 0.441058 + 0.897479i \(0.354603\pi\)
−0.997768 + 0.0667720i \(0.978730\pi\)
\(602\) 38751.3 219770.i 0.00435808 0.0247159i
\(603\) −9.75521e6 + 8.18559e6i −1.09256 + 0.916763i
\(604\) 5.95886e6 + 5.00008e6i 0.664616 + 0.557679i
\(605\) 386958. + 2.19455e6i 0.0429809 + 0.243757i
\(606\) 172707. + 62860.3i 0.0191042 + 0.00695336i
\(607\) 5.07793e6 0.559390 0.279695 0.960089i \(-0.409767\pi\)
0.279695 + 0.960089i \(0.409767\pi\)
\(608\) −491248. 1.53462e6i −0.0538942 0.168361i
\(609\) 52541.4 0.00574062
\(610\) −1.49539e6 544277.i −0.162716 0.0592236i
\(611\) 2.23304e6 + 1.26642e7i 0.241987 + 1.37238i
\(612\) −771292. 647191.i −0.0832415 0.0698479i
\(613\) −7.49756e6 + 6.29120e6i −0.805877 + 0.676211i −0.949620 0.313404i \(-0.898531\pi\)
0.143743 + 0.989615i \(0.454086\pi\)
\(614\) −356322. + 2.02080e6i −0.0381436 + 0.216323i
\(615\) −113110. + 195913.i −0.0120591 + 0.0208870i
\(616\) −295675. 512124.i −0.0313951 0.0543780i
\(617\) 2.20526e6 802648.i 0.233210 0.0848814i −0.222772 0.974871i \(-0.571511\pi\)
0.455982 + 0.889989i \(0.349288\pi\)
\(618\) 569977. 207455.i 0.0600325 0.0218500i
\(619\) −3.83994e6 6.65096e6i −0.402807 0.697683i 0.591256 0.806484i \(-0.298632\pi\)
−0.994064 + 0.108801i \(0.965299\pi\)
\(620\) −446375. + 773143.i −0.0466359 + 0.0807757i
\(621\) 17991.0 102032.i 0.00187209 0.0106171i
\(622\) 4.23329e6 3.55215e6i 0.438735 0.368142i
\(623\) 1.06175e6 + 890918.i 0.109598 + 0.0919639i
\(624\) −51251.5 290662.i −0.00526921 0.0298832i
\(625\) −8.04332e6 2.92753e6i −0.823636 0.299779i
\(626\) −1.04506e6 −0.106587
\(627\) −402234. + 983213.i −0.0408611 + 0.0998800i
\(628\) 666687. 0.0674563
\(629\) −927184. 337467.i −0.0934414 0.0340099i
\(630\) −29692.2 168393.i −0.00298051 0.0169033i
\(631\) −4.19466e6 3.51974e6i −0.419395 0.351915i 0.408538 0.912741i \(-0.366039\pi\)
−0.827933 + 0.560827i \(0.810483\pi\)
\(632\) 1.88943e6 1.58542e6i 0.188164 0.157889i
\(633\) 121105. 686821.i 0.0120130 0.0681294i
\(634\) 5.81670e6 1.00748e7i 0.574717 0.995438i
\(635\) 1.37883e6 + 2.38821e6i 0.135699 + 0.235038i
\(636\) −109582. + 39884.5i −0.0107422 + 0.00390986i
\(637\) 1.58665e7 5.77493e6i 1.54929 0.563895i
\(638\) 3.58049e6 + 6.20158e6i 0.348249 + 0.603185i
\(639\) −312623. + 541478.i −0.0302878 + 0.0524601i
\(640\) 32496.7 184298.i 0.00313609 0.0177857i
\(641\) −9.47679e6 + 7.95197e6i −0.910995 + 0.764416i −0.972308 0.233703i \(-0.924916\pi\)
0.0613128 + 0.998119i \(0.480471\pi\)
\(642\) 247852. + 207973.i 0.0237332 + 0.0199145i
\(643\) −3.21402e6 1.82276e7i −0.306564 1.73861i −0.616051 0.787706i \(-0.711269\pi\)
0.309487 0.950904i \(-0.399843\pi\)
\(644\) −43984.3 16009.0i −0.00417910 0.00152107i
\(645\) −46559.4 −0.00440664
\(646\) 1.60130e6 + 347664.i 0.150971 + 0.0327777i
\(647\) 1.28259e7 1.20456 0.602278 0.798286i \(-0.294260\pi\)
0.602278 + 0.798286i \(0.294260\pi\)
\(648\) −3.49522e6 1.27216e6i −0.326992 0.119015i
\(649\) −152624. 865572.i −0.0142236 0.0806662i
\(650\) −9.35162e6 7.84694e6i −0.868168 0.728479i
\(651\) −65541.8 + 54996.1i −0.00606130 + 0.00508603i
\(652\) 1.24101e6 7.03810e6i 0.114329 0.648390i
\(653\) −6.75662e6 + 1.17028e7i −0.620079 + 1.07401i 0.369392 + 0.929274i \(0.379566\pi\)
−0.989471 + 0.144734i \(0.953767\pi\)
\(654\) 367595. + 636693.i 0.0336067 + 0.0582084i
\(655\) 2.22855e6 811125.i 0.202964 0.0738728i
\(656\) 4.21169e6 1.53293e6i 0.382117 0.139079i
\(657\) 2.73526e6 + 4.73762e6i 0.247221 + 0.428200i
\(658\) −390717. + 676742.i −0.0351801 + 0.0609338i
\(659\) −1.37795e6 + 7.81476e6i −0.123601 + 0.700974i 0.858528 + 0.512766i \(0.171379\pi\)
−0.982129 + 0.188208i \(0.939732\pi\)
\(660\) −94512.5 + 79305.4i −0.00844558 + 0.00708668i
\(661\) −1.35246e7 1.13485e7i −1.20399 1.01027i −0.999507 0.0313953i \(-0.990005\pi\)
−0.204481 0.978871i \(-0.565551\pi\)
\(662\) −956589. 5.42509e6i −0.0848361 0.481129i
\(663\) 282042. + 102655.i 0.0249190 + 0.00906977i
\(664\) 5.77086e6 0.507949
\(665\) 170370. + 220032.i 0.0149396 + 0.0192945i
\(666\) −3.66456e6 −0.320137
\(667\) 532629. + 193861.i 0.0463565 + 0.0168724i
\(668\) −966934. 5.48375e6i −0.0838408 0.475485i
\(669\) −783094. 657094.i −0.0676470 0.0567626i
\(670\) 1.84388e6 1.54720e6i 0.158688 0.133155i
\(671\) 3.60947e6 2.04703e7i 0.309483 1.75517i
\(672\) 8967.54 15532.2i 0.000766038 0.00132682i
\(673\) 193313. + 334829.i 0.0164522 + 0.0284961i 0.874134 0.485684i \(-0.161430\pi\)
−0.857682 + 0.514180i \(0.828096\pi\)
\(674\) 9.62920e6 3.50474e6i 0.816470 0.297171i
\(675\) 1.54298e6 561597.i 0.130347 0.0474423i
\(676\) −5.33921e6 9.24778e6i −0.449376 0.778342i
\(677\) 5.67362e6 9.82699e6i 0.475760 0.824041i −0.523854 0.851808i \(-0.675506\pi\)
0.999614 + 0.0277669i \(0.00883961\pi\)
\(678\) −5405.96 + 30658.7i −0.000451646 + 0.00256141i
\(679\) −1.59058e6 + 1.33465e6i −0.132397 + 0.111095i
\(680\) 145785. + 122329.i 0.0120904 + 0.0101451i
\(681\) 17482.0 + 99145.4i 0.00144452 + 0.00819228i
\(682\) −1.09577e7 3.98828e6i −0.902110 0.328341i
\(683\) −5.48388e6 −0.449817 −0.224909 0.974380i \(-0.572208\pi\)
−0.224909 + 0.974380i \(0.572208\pi\)
\(684\) 6.03020e6 820721.i 0.492823 0.0670742i
\(685\) −74860.1 −0.00609571
\(686\) 1.94226e6 + 706926.i 0.157579 + 0.0573540i
\(687\) −115526. 655182.i −0.00933875 0.0529627i
\(688\) 706642. + 592943.i 0.0569152 + 0.0477575i
\(689\) −5.03010e6 + 4.22076e6i −0.403672 + 0.338721i
\(690\) −1695.79 + 9617.32i −0.000135597 + 0.000769009i
\(691\) 4.67254e6 8.09308e6i 0.372270 0.644791i −0.617644 0.786458i \(-0.711913\pi\)
0.989914 + 0.141667i \(0.0452462\pi\)
\(692\) 4.96514e6 + 8.59987e6i 0.394154 + 0.682695i
\(693\) 2.09876e6 763887.i 0.166008 0.0604221i
\(694\) 1.96439e6 714978.i 0.154820 0.0563500i
\(695\) 1.67896e6 + 2.90805e6i 0.131850 + 0.228370i
\(696\) −108593. + 188088.i −0.00849724 + 0.0147177i
\(697\) −791466. + 4.48863e6i −0.0617093 + 0.349971i
\(698\) −2.10243e6 + 1.76415e6i −0.163336 + 0.137055i
\(699\) 842215. + 706702.i 0.0651973 + 0.0547071i
\(700\) −128816. 730552.i −0.00993631 0.0563516i
\(701\) −1.53506e7 5.58716e6i −1.17986 0.429434i −0.323707 0.946157i \(-0.604929\pi\)
−0.856152 + 0.516723i \(0.827152\pi\)
\(702\) 2.23536e6 0.171201
\(703\) 5.27798e6 2.77693e6i 0.402791 0.211923i
\(704\) 2.44441e6 0.185884
\(705\) 153204. + 55761.6i 0.0116090 + 0.00422534i
\(706\) 1.05576e6 + 5.98753e6i 0.0797177 + 0.452102i
\(707\) 481744. + 404231.i 0.0362467 + 0.0304146i
\(708\) 20420.4 17134.8i 0.00153102 0.00128468i
\(709\) 884422. 5.01581e6i 0.0660760 0.374736i −0.933781 0.357844i \(-0.883512\pi\)
0.999857 0.0168916i \(-0.00537701\pi\)
\(710\) 59090.3 102347.i 0.00439916 0.00761957i
\(711\) 4.65778e6 + 8.06751e6i 0.345545 + 0.598502i
\(712\) −5.38376e6 + 1.95953e6i −0.398002 + 0.144861i
\(713\) −867336. + 315685.i −0.0638945 + 0.0232557i
\(714\) 9119.38 + 15795.2i 0.000669452 + 0.00115953i
\(715\) −3.47357e6 + 6.01640e6i −0.254104 + 0.440121i
\(716\) 569626. 3.23051e6i 0.0415248 0.235499i
\(717\) −259528. + 217770.i −0.0188533 + 0.0158198i
\(718\) −5.25890e6 4.41274e6i −0.380701 0.319446i
\(719\) 2.91449e6 + 1.65289e7i 0.210252 + 1.19240i 0.888958 + 0.457989i \(0.151430\pi\)
−0.678706 + 0.734411i \(0.737459\pi\)
\(720\) 664183. + 241743.i 0.0477481 + 0.0173789i
\(721\) 2.07544e6 0.148686
\(722\) −8.06323e6 + 5.75164e6i −0.575660 + 0.410628i
\(723\) 1.04828e6 0.0745814
\(724\) 195093. + 71007.9i 0.0138323 + 0.00503454i
\(725\) 1.55990e6 + 8.84665e6i 0.110218 + 0.625078i
\(726\) −676257. 567447.i −0.0476179 0.0399562i
\(727\) −885411. + 742948.i −0.0621310 + 0.0521341i −0.673324 0.739347i \(-0.735134\pi\)
0.611193 + 0.791481i \(0.290690\pi\)
\(728\) 175366. 994548.i 0.0122635 0.0695500i
\(729\) 6.94875e6 1.20356e7i 0.484271 0.838781i
\(730\) −517005. 895479.i −0.0359077 0.0621940i
\(731\) −881501. + 320840.i −0.0610140 + 0.0222073i
\(732\) 592404. 215617.i 0.0408639 0.0148733i
\(733\) −8.76801e6 1.51866e7i −0.602756 1.04400i −0.992402 0.123039i \(-0.960736\pi\)
0.389646 0.920965i \(-0.372597\pi\)
\(734\) 418062. 724105.i 0.0286418 0.0496091i
\(735\) 37172.6 210816.i 0.00253808 0.0143941i
\(736\) 148216. 124368.i 0.0100856 0.00846280i
\(737\) 2.40845e7 + 2.02093e7i 1.63331 + 1.37051i
\(738\) 2.93950e6 + 1.66708e7i 0.198670 + 1.12672i
\(739\) 5.57775e6 + 2.03014e6i 0.375706 + 0.136746i 0.522969 0.852352i \(-0.324824\pi\)
−0.147263 + 0.989097i \(0.547046\pi\)
\(740\) 692656. 0.0464984
\(741\) −1.60552e6 + 844722.i −0.107416 + 0.0565156i
\(742\) −399016. −0.0266060
\(743\) −1.67676e7 6.10291e6i −1.11429 0.405569i −0.281726 0.959495i \(-0.590907\pi\)
−0.832566 + 0.553926i \(0.813129\pi\)
\(744\) −61413.5 348293.i −0.00406754 0.0230681i
\(745\) 3.75046e6 + 3.14701e6i 0.247568 + 0.207734i
\(746\) −9.09444e6 + 7.63114e6i −0.598313 + 0.502045i
\(747\) −3.78481e6 + 2.14647e7i −0.248166 + 1.40742i
\(748\) −1.24290e6 + 2.15276e6i −0.0812234 + 0.140683i
\(749\) 553537. + 958755.i 0.0360531 + 0.0624457i
\(750\) −297212. + 108176.i −0.0192936 + 0.00702229i
\(751\) −1.93811e7 + 7.05414e6i −1.25395 + 0.456399i −0.881733 0.471749i \(-0.843623\pi\)
−0.372212 + 0.928148i \(0.621401\pi\)
\(752\) −1.61507e6 2.79738e6i −0.104147 0.180388i
\(753\) 339990. 588881.i 0.0218514 0.0378477i
\(754\) −2.12360e6 + 1.20435e7i −0.136033 + 0.771481i
\(755\) 4.25395e6 3.56949e6i 0.271597 0.227897i
\(756\) 104056. + 87313.7i 0.00662162 + 0.00555620i
\(757\) 390824. + 2.21647e6i 0.0247880 + 0.140580i 0.994690 0.102915i \(-0.0328171\pi\)
−0.969902 + 0.243495i \(0.921706\pi\)
\(758\) 1.62518e7 + 5.91518e6i 1.02738 + 0.373934i
\(759\) −127558. −0.00803717
\(760\) −1.13980e6 + 155128.i −0.0715802 + 0.00974221i
\(761\) 1.20169e7 0.752198 0.376099 0.926579i \(-0.377265\pi\)
0.376099 + 0.926579i \(0.377265\pi\)
\(762\) −1.02658e6 373644.i −0.0640479 0.0233115i
\(763\) 436825. + 2.47736e6i 0.0271642 + 0.154056i
\(764\) 1.19738e7 + 1.00472e7i 0.742164 + 0.622750i
\(765\) −550614. + 462020.i −0.0340168 + 0.0285435i
\(766\) −3.07472e6 + 1.74376e7i −0.189336 + 1.07378i
\(767\) 750502. 1.29991e6i 0.0460642 0.0797856i