Properties

Label 27.6.e.a.7.9
Level 27
Weight 6
Character 27.7
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.9
Character \(\chi\) = 27.7
Dual form 27.6.e.a.4.9

$q$-expansion

\(f(q)\) \(=\) \(q+(3.25396 - 1.18435i) q^{2} +(-12.0549 - 9.88326i) q^{3} +(-15.3278 + 12.8616i) q^{4} +(-5.36783 - 30.4425i) q^{5} +(-50.9315 - 17.8826i) q^{6} +(-155.790 - 130.724i) q^{7} +(-90.0483 + 155.968i) q^{8} +(47.6424 + 238.284i) q^{9} +O(q^{10})\) \(q+(3.25396 - 1.18435i) q^{2} +(-12.0549 - 9.88326i) q^{3} +(-15.3278 + 12.8616i) q^{4} +(-5.36783 - 30.4425i) q^{5} +(-50.9315 - 17.8826i) q^{6} +(-155.790 - 130.724i) q^{7} +(-90.0483 + 155.968i) q^{8} +(47.6424 + 238.284i) q^{9} +(-53.5211 - 92.7013i) q^{10} +(70.5707 - 400.226i) q^{11} +(311.890 - 3.55641i) q^{12} +(235.839 + 85.8386i) q^{13} +(-661.758 - 240.860i) q^{14} +(-236.162 + 420.033i) q^{15} +(2.89160 - 16.3991i) q^{16} +(-8.80192 - 15.2454i) q^{17} +(437.237 + 718.942i) q^{18} +(977.252 - 1692.65i) q^{19} +(473.815 + 397.578i) q^{20} +(586.065 + 3115.58i) q^{21} +(-244.372 - 1385.90i) q^{22} +(-1700.84 + 1427.17i) q^{23} +(2627.00 - 990.215i) q^{24} +(2038.61 - 741.993i) q^{25} +869.075 q^{26} +(1780.70 - 3343.36i) q^{27} +4069.24 q^{28} +(-7231.79 + 2632.16i) q^{29} +(-270.998 + 1646.47i) q^{30} +(-3420.25 + 2869.93i) q^{31} +(-1010.76 - 5732.33i) q^{32} +(-4806.26 + 4127.23i) q^{33} +(-46.6969 - 39.1834i) q^{34} +(-3143.30 + 5444.35i) q^{35} +(-3794.96 - 3039.62i) q^{36} +(-5000.45 - 8661.03i) q^{37} +(1175.26 - 6665.22i) q^{38} +(-1994.66 - 3365.64i) q^{39} +(5231.43 + 1904.08i) q^{40} +(-8926.34 - 3248.92i) q^{41} +(5596.96 + 9443.88i) q^{42} +(2493.84 - 14143.3i) q^{43} +(4065.84 + 7042.25i) q^{44} +(6998.22 - 2729.42i) q^{45} +(-3844.20 + 6658.36i) q^{46} +(8652.77 + 7260.54i) q^{47} +(-196.935 + 169.111i) q^{48} +(4263.46 + 24179.3i) q^{49} +(5754.78 - 4828.83i) q^{50} +(-44.5675 + 270.774i) q^{51} +(-4718.93 + 1717.55i) q^{52} +26303.5 q^{53} +(1834.63 - 12988.1i) q^{54} -12562.7 q^{55} +(34417.4 - 12526.9i) q^{56} +(-28509.6 + 10746.3i) q^{57} +(-20414.6 + 17129.9i) q^{58} +(-946.623 - 5368.57i) q^{59} +(-1782.44 - 9475.62i) q^{60} +(29873.8 + 25067.1i) q^{61} +(-7730.37 + 13389.4i) q^{62} +(23727.1 - 43350.3i) q^{63} +(-9811.61 - 16994.2i) q^{64} +(1347.19 - 7640.31i) q^{65} +(-10751.3 + 19122.1i) q^{66} +(-37761.3 - 13744.0i) q^{67} +(330.994 + 120.472i) q^{68} +(34608.6 - 394.634i) q^{69} +(-3780.18 + 21438.5i) q^{70} +(4605.33 + 7976.67i) q^{71} +(-41454.8 - 14026.4i) q^{72} +(19470.2 - 33723.5i) q^{73} +(-26528.9 - 22260.4i) q^{74} +(-31908.6 - 11203.4i) q^{75} +(6790.99 + 38513.6i) q^{76} +(-63313.3 + 53126.1i) q^{77} +(-10476.6 - 8589.30i) q^{78} +(32368.6 - 11781.2i) q^{79} -514.751 q^{80} +(-54509.4 + 22704.8i) q^{81} -32893.8 q^{82} +(94313.3 - 34327.2i) q^{83} +(-49054.4 - 40217.3i) q^{84} +(-416.860 + 349.787i) q^{85} +(-8635.66 - 48975.2i) q^{86} +(113193. + 39743.2i) q^{87} +(56067.8 + 47046.5i) q^{88} +(-53803.2 + 93189.9i) q^{89} +(19539.4 - 17169.7i) q^{90} +(-25520.4 - 44202.6i) q^{91} +(7714.48 - 43751.0i) q^{92} +(69595.0 - 793.576i) q^{93} +(36754.8 + 13377.6i) q^{94} +(-56774.2 - 20664.1i) q^{95} +(-44469.4 + 79092.4i) q^{96} +(19377.6 - 109896. i) q^{97} +(42509.8 + 73629.1i) q^{98} +(98729.6 - 2251.87i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.25396 1.18435i 0.575225 0.209365i −0.0379938 0.999278i \(-0.512097\pi\)
0.613219 + 0.789913i \(0.289875\pi\)
\(3\) −12.0549 9.88326i −0.773324 0.634011i
\(4\) −15.3278 + 12.8616i −0.478995 + 0.401924i
\(5\) −5.36783 30.4425i −0.0960227 0.544572i −0.994429 0.105407i \(-0.966386\pi\)
0.898406 0.439165i \(-0.144726\pi\)
\(6\) −50.9315 17.8826i −0.577574 0.202792i
\(7\) −155.790 130.724i −1.20170 1.00834i −0.999580 0.0289837i \(-0.990773\pi\)
−0.202119 0.979361i \(-0.564783\pi\)
\(8\) −90.0483 + 155.968i −0.497451 + 0.861611i
\(9\) 47.6424 + 238.284i 0.196059 + 0.980592i
\(10\) −53.5211 92.7013i −0.169249 0.293147i
\(11\) 70.5707 400.226i 0.175850 0.997295i −0.761308 0.648390i \(-0.775442\pi\)
0.937158 0.348905i \(-0.113446\pi\)
\(12\) 311.890 3.55641i 0.625242 0.00712949i
\(13\) 235.839 + 85.8386i 0.387042 + 0.140872i 0.528210 0.849114i \(-0.322863\pi\)
−0.141168 + 0.989986i \(0.545086\pi\)
\(14\) −661.758 240.860i −0.902358 0.328432i
\(15\) −236.162 + 420.033i −0.271008 + 0.482010i
\(16\) 2.89160 16.3991i 0.00282383 0.0160147i
\(17\) −8.80192 15.2454i −0.00738678 0.0127943i 0.862308 0.506384i \(-0.169018\pi\)
−0.869695 + 0.493589i \(0.835685\pi\)
\(18\) 437.237 + 718.942i 0.318079 + 0.523013i
\(19\) 977.252 1692.65i 0.621044 1.07568i −0.368248 0.929728i \(-0.620042\pi\)
0.989292 0.145952i \(-0.0466245\pi\)
\(20\) 473.815 + 397.578i 0.264871 + 0.222253i
\(21\) 586.065 + 3115.58i 0.290000 + 1.54167i
\(22\) −244.372 1385.90i −0.107645 0.610486i
\(23\) −1700.84 + 1427.17i −0.670416 + 0.562545i −0.913188 0.407538i \(-0.866387\pi\)
0.242773 + 0.970083i \(0.421943\pi\)
\(24\) 2627.00 990.215i 0.930962 0.350914i
\(25\) 2038.61 741.993i 0.652355 0.237438i
\(26\) 869.075 0.252130
\(27\) 1780.70 3343.36i 0.470089 0.882619i
\(28\) 4069.24 0.980885
\(29\) −7231.79 + 2632.16i −1.59680 + 0.581188i −0.978769 0.204966i \(-0.934292\pi\)
−0.618031 + 0.786154i \(0.712069\pi\)
\(30\) −270.998 + 1646.47i −0.0549747 + 0.334003i
\(31\) −3420.25 + 2869.93i −0.639224 + 0.536373i −0.903780 0.427998i \(-0.859219\pi\)
0.264556 + 0.964370i \(0.414775\pi\)
\(32\) −1010.76 5732.33i −0.174492 0.989591i
\(33\) −4806.26 + 4127.23i −0.768286 + 0.659741i
\(34\) −46.6969 39.1834i −0.00692773 0.00581306i
\(35\) −3143.30 + 5444.35i −0.433726 + 0.751235i
\(36\) −3794.96 3039.62i −0.488035 0.390897i
\(37\) −5000.45 8661.03i −0.600489 1.04008i −0.992747 0.120222i \(-0.961639\pi\)
0.392258 0.919855i \(-0.371694\pi\)
\(38\) 1175.26 6665.22i 0.132031 0.748782i
\(39\) −1994.66 3365.64i −0.209994 0.354329i
\(40\) 5231.43 + 1904.08i 0.516976 + 0.188164i
\(41\) −8926.34 3248.92i −0.829304 0.301842i −0.107731 0.994180i \(-0.534358\pi\)
−0.721573 + 0.692338i \(0.756581\pi\)
\(42\) 5596.96 + 9443.88i 0.489586 + 0.826089i
\(43\) 2493.84 14143.3i 0.205683 1.16648i −0.690679 0.723161i \(-0.742688\pi\)
0.896362 0.443323i \(-0.146200\pi\)
\(44\) 4065.84 + 7042.25i 0.316606 + 0.548377i
\(45\) 6998.22 2729.42i 0.515177 0.200927i
\(46\) −3844.20 + 6658.36i −0.267862 + 0.463951i
\(47\) 8652.77 + 7260.54i 0.571361 + 0.479429i 0.882097 0.471067i \(-0.156131\pi\)
−0.310736 + 0.950496i \(0.600576\pi\)
\(48\) −196.935 + 169.111i −0.0123373 + 0.0105942i
\(49\) 4263.46 + 24179.3i 0.253672 + 1.43864i
\(50\) 5754.78 4828.83i 0.325539 0.273160i
\(51\) −44.5675 + 270.774i −0.00239935 + 0.0145774i
\(52\) −4718.93 + 1717.55i −0.242011 + 0.0880847i
\(53\) 26303.5 1.28624 0.643122 0.765764i \(-0.277639\pi\)
0.643122 + 0.765764i \(0.277639\pi\)
\(54\) 1834.63 12988.1i 0.0856178 0.606124i
\(55\) −12562.7 −0.559984
\(56\) 34417.4 12526.9i 1.46659 0.533794i
\(57\) −28509.6 + 10746.3i −1.16226 + 0.438100i
\(58\) −20414.6 + 17129.9i −0.796839 + 0.668627i
\(59\) −946.623 5368.57i −0.0354036 0.200784i 0.961976 0.273135i \(-0.0880607\pi\)
−0.997379 + 0.0723517i \(0.976950\pi\)
\(60\) −1782.44 9475.62i −0.0639200 0.339805i
\(61\) 29873.8 + 25067.1i 1.02794 + 0.862541i 0.990604 0.136762i \(-0.0436695\pi\)
0.0373325 + 0.999303i \(0.488114\pi\)
\(62\) −7730.37 + 13389.4i −0.255400 + 0.442366i
\(63\) 23727.1 43350.3i 0.753171 1.37607i
\(64\) −9811.61 16994.2i −0.299426 0.518622i
\(65\) 1347.19 7640.31i 0.0395500 0.224299i
\(66\) −10751.3 + 19122.1i −0.303810 + 0.540351i
\(67\) −37761.3 13744.0i −1.02769 0.374047i −0.227486 0.973781i \(-0.573051\pi\)
−0.800199 + 0.599734i \(0.795273\pi\)
\(68\) 330.994 + 120.472i 0.00868056 + 0.00315947i
\(69\) 34608.6 394.634i 0.875108 0.00997866i
\(70\) −3780.18 + 21438.5i −0.0922077 + 0.522936i
\(71\) 4605.33 + 7976.67i 0.108421 + 0.187791i 0.915131 0.403157i \(-0.132087\pi\)
−0.806710 + 0.590948i \(0.798754\pi\)
\(72\) −41454.8 14026.4i −0.942419 0.318870i
\(73\) 19470.2 33723.5i 0.427626 0.740670i −0.569036 0.822313i \(-0.692683\pi\)
0.996662 + 0.0816427i \(0.0260166\pi\)
\(74\) −26528.9 22260.4i −0.563171 0.472557i
\(75\) −31908.6 11203.4i −0.655019 0.229984i
\(76\) 6790.99 + 38513.6i 0.134865 + 0.764857i
\(77\) −63313.3 + 53126.1i −1.21694 + 1.02113i
\(78\) −10476.6 8589.30i −0.194978 0.159853i
\(79\) 32368.6 11781.2i 0.583521 0.212384i −0.0333566 0.999444i \(-0.510620\pi\)
0.616877 + 0.787059i \(0.288397\pi\)
\(80\) −514.751 −0.00899233
\(81\) −54509.4 + 22704.8i −0.923122 + 0.384508i
\(82\) −32893.8 −0.540231
\(83\) 94313.3 34327.2i 1.50272 0.546945i 0.545956 0.837814i \(-0.316167\pi\)
0.956763 + 0.290869i \(0.0939445\pi\)
\(84\) −49054.4 40217.3i −0.758542 0.621892i
\(85\) −416.860 + 349.787i −0.00625811 + 0.00525117i
\(86\) −8635.66 48975.2i −0.125907 0.714053i
\(87\) 113193. + 39743.2i 1.60332 + 0.562943i
\(88\) 56067.8 + 47046.5i 0.771804 + 0.647620i
\(89\) −53803.2 + 93189.9i −0.720001 + 1.24708i 0.240997 + 0.970526i \(0.422526\pi\)
−0.960999 + 0.276553i \(0.910808\pi\)
\(90\) 19539.4 17169.7i 0.254275 0.223438i
\(91\) −25520.4 44202.6i −0.323061 0.559557i
\(92\) 7714.48 43751.0i 0.0950248 0.538912i
\(93\) 69595.0 793.576i 0.834393 0.00951439i
\(94\) 36754.8 + 13377.6i 0.429036 + 0.156156i
\(95\) −56774.2 20664.1i −0.645419 0.234913i
\(96\) −44469.4 + 79092.4i −0.492474 + 0.875904i
\(97\) 19377.6 109896.i 0.209108 1.18591i −0.681736 0.731598i \(-0.738775\pi\)
0.890844 0.454310i \(-0.150114\pi\)
\(98\) 42509.8 + 73629.1i 0.447120 + 0.774434i
\(99\) 98729.6 2251.87i 1.01242 0.0230917i
\(100\) −21704.2 + 37592.8i −0.217042 + 0.375928i
\(101\) −11288.8 9472.43i −0.110114 0.0923970i 0.586068 0.810262i \(-0.300675\pi\)
−0.696183 + 0.717865i \(0.745120\pi\)
\(102\) 175.668 + 933.870i 0.00167183 + 0.00888763i
\(103\) −15056.6 85390.1i −0.139841 0.793075i −0.971366 0.237588i \(-0.923643\pi\)
0.831525 0.555487i \(-0.187468\pi\)
\(104\) −34625.0 + 29053.9i −0.313911 + 0.263403i
\(105\) 91700.1 34565.2i 0.811702 0.305961i
\(106\) 85590.5 31152.4i 0.739879 0.269294i
\(107\) −78178.5 −0.660128 −0.330064 0.943959i \(-0.607070\pi\)
−0.330064 + 0.943959i \(0.607070\pi\)
\(108\) 15706.6 + 74148.9i 0.129576 + 0.611710i
\(109\) −63846.5 −0.514720 −0.257360 0.966316i \(-0.582853\pi\)
−0.257360 + 0.966316i \(0.582853\pi\)
\(110\) −40878.5 + 14878.6i −0.322117 + 0.117241i
\(111\) −25319.2 + 153829.i −0.195048 + 1.18503i
\(112\) −2594.23 + 2176.82i −0.0195418 + 0.0163975i
\(113\) −9442.43 53550.7i −0.0695645 0.394520i −0.999632 0.0271310i \(-0.991363\pi\)
0.930067 0.367389i \(-0.119748\pi\)
\(114\) −80041.8 + 68733.4i −0.576839 + 0.495342i
\(115\) 52576.6 + 44117.0i 0.370721 + 0.311072i
\(116\) 76993.9 133357.i 0.531265 0.920178i
\(117\) −9217.99 + 60286.3i −0.0622546 + 0.407150i
\(118\) −9438.51 16348.0i −0.0624020 0.108083i
\(119\) −621.677 + 3525.70i −0.00402436 + 0.0228233i
\(120\) −44245.9 74657.1i −0.280492 0.473280i
\(121\) −3862.36 1405.78i −0.0239822 0.00872882i
\(122\) 126896. + 46186.5i 0.771880 + 0.280941i
\(123\) 75496.4 + 127387.i 0.449949 + 0.759209i
\(124\) 15513.2 87979.5i 0.0906037 0.513839i
\(125\) −81831.2 141736.i −0.468429 0.811343i
\(126\) 25865.4 169161.i 0.145142 0.949238i
\(127\) 111792. 193629.i 0.615037 1.06528i −0.375341 0.926887i \(-0.622474\pi\)
0.990378 0.138389i \(-0.0441924\pi\)
\(128\) 90633.0 + 76050.2i 0.488947 + 0.410275i
\(129\) −169845. + 145849.i −0.898623 + 0.771664i
\(130\) −4665.05 26456.8i −0.0242102 0.137303i
\(131\) −123581. + 103696.i −0.629176 + 0.527941i −0.900673 0.434498i \(-0.856926\pi\)
0.271497 + 0.962439i \(0.412481\pi\)
\(132\) 20586.9 125078.i 0.102839 0.624805i
\(133\) −373516. + 135949.i −1.83096 + 0.666416i
\(134\) −139152. −0.669462
\(135\) −111339. 36262.2i −0.525788 0.171246i
\(136\) 3170.39 0.0146983
\(137\) −331331. + 120595.i −1.50821 + 0.548942i −0.958170 0.286199i \(-0.907608\pi\)
−0.550036 + 0.835141i \(0.685386\pi\)
\(138\) 112148. 42272.7i 0.501295 0.188957i
\(139\) −102805. + 86263.2i −0.451310 + 0.378694i −0.839922 0.542707i \(-0.817399\pi\)
0.388612 + 0.921402i \(0.372955\pi\)
\(140\) −21843.0 123878.i −0.0941872 0.534162i
\(141\) −32550.7 173043.i −0.137884 0.733003i
\(142\) 24432.7 + 20501.5i 0.101684 + 0.0853226i
\(143\) 50998.2 88331.5i 0.208552 0.361223i
\(144\) 4045.40 92.2696i 0.0162576 0.000370811i
\(145\) 118948. + 206025.i 0.469827 + 0.813765i
\(146\) 23415.2 132794.i 0.0909109 0.515582i
\(147\) 187575. 333617.i 0.715947 1.27337i
\(148\) 188041. + 68441.2i 0.705663 + 0.256840i
\(149\) 457105. + 166373.i 1.68675 + 0.613927i 0.994210 0.107453i \(-0.0342696\pi\)
0.692539 + 0.721380i \(0.256492\pi\)
\(150\) −117098. + 1335.24i −0.424934 + 0.00484542i
\(151\) 8704.69 49366.8i 0.0310678 0.176194i −0.965325 0.261049i \(-0.915932\pi\)
0.996393 + 0.0848547i \(0.0270426\pi\)
\(152\) 176000. + 304841.i 0.617879 + 1.07020i
\(153\) 3213.38 2823.68i 0.0110977 0.00975186i
\(154\) −143099. + 247855.i −0.486223 + 0.842163i
\(155\) 105727. + 88715.5i 0.353473 + 0.296599i
\(156\) 73861.3 + 25933.4i 0.242999 + 0.0853196i
\(157\) 45321.4 + 257030.i 0.146742 + 0.832214i 0.965952 + 0.258721i \(0.0833010\pi\)
−0.819210 + 0.573493i \(0.805588\pi\)
\(158\) 91373.2 76671.2i 0.291190 0.244337i
\(159\) −317086. 259964.i −0.994683 0.815493i
\(160\) −169081. + 61540.3i −0.522148 + 0.190046i
\(161\) 451540. 1.37288
\(162\) −150481. + 138439.i −0.450500 + 0.414448i
\(163\) 444276. 1.30974 0.654868 0.755743i \(-0.272724\pi\)
0.654868 + 0.755743i \(0.272724\pi\)
\(164\) 178608. 65007.8i 0.518550 0.188737i
\(165\) 151442. + 124160.i 0.433049 + 0.355037i
\(166\) 266237. 223399.i 0.749890 0.629232i
\(167\) −53077.8 301019.i −0.147273 0.835224i −0.965514 0.260350i \(-0.916162\pi\)
0.818242 0.574874i \(-0.194949\pi\)
\(168\) −538706. 189145.i −1.47258 0.517038i
\(169\) −236175. 198174.i −0.636088 0.533741i
\(170\) −942.178 + 1631.90i −0.00250041 + 0.00433083i
\(171\) 449890. + 152221.i 1.17656 + 0.398094i
\(172\) 143680. + 248860.i 0.370317 + 0.641408i
\(173\) −85060.9 + 482404.i −0.216080 + 1.22545i 0.662942 + 0.748670i \(0.269307\pi\)
−0.879022 + 0.476780i \(0.841804\pi\)
\(174\) 415395. 4736.65i 1.04013 0.0118604i
\(175\) −414592. 150899.i −1.02335 0.372470i
\(176\) −6359.29 2314.59i −0.0154749 0.00563239i
\(177\) −41647.5 + 74073.4i −0.0999207 + 0.177717i
\(178\) −64704.6 + 366958.i −0.153068 + 0.868093i
\(179\) −214987. 372369.i −0.501511 0.868642i −0.999998 0.00174530i \(-0.999444\pi\)
0.498488 0.866897i \(-0.333889\pi\)
\(180\) −72162.8 + 131844.i −0.166009 + 0.303305i
\(181\) −155081. + 268607.i −0.351853 + 0.609427i −0.986574 0.163314i \(-0.947782\pi\)
0.634721 + 0.772741i \(0.281115\pi\)
\(182\) −135394. 113609.i −0.302984 0.254234i
\(183\) −112382. 597433.i −0.248067 1.31875i
\(184\) −69436.1 393792.i −0.151196 0.857477i
\(185\) −236822. + 198717.i −0.508736 + 0.426880i
\(186\) 225520. 85006.8i 0.477972 0.180165i
\(187\) −6722.76 + 2446.88i −0.0140586 + 0.00511693i
\(188\) −226010. −0.466373
\(189\) −714471. + 288084.i −1.45489 + 0.586630i
\(190\) −209214. −0.420444
\(191\) −257726. + 93804.6i −0.511181 + 0.186055i −0.584716 0.811238i \(-0.698794\pi\)
0.0735352 + 0.997293i \(0.476572\pi\)
\(192\) −49679.9 + 301834.i −0.0972586 + 0.590902i
\(193\) 202595. 169997.i 0.391502 0.328510i −0.425696 0.904866i \(-0.639971\pi\)
0.817198 + 0.576357i \(0.195526\pi\)
\(194\) −67100.5 380546.i −0.128003 0.725944i
\(195\) −91751.4 + 78788.7i −0.172793 + 0.148381i
\(196\) −376334. 315781.i −0.699734 0.587146i
\(197\) 435841. 754899.i 0.800134 1.38587i −0.119394 0.992847i \(-0.538095\pi\)
0.919528 0.393025i \(-0.128572\pi\)
\(198\) 318595. 124257.i 0.577533 0.225247i
\(199\) −112026. 194035.i −0.200534 0.347334i 0.748167 0.663511i \(-0.230934\pi\)
−0.948700 + 0.316176i \(0.897601\pi\)
\(200\) −67845.9 + 384773.i −0.119936 + 0.680190i
\(201\) 319374. + 538888.i 0.557583 + 0.940823i
\(202\) −47952.0 17453.1i −0.0826852 0.0300950i
\(203\) 1.47073e6 + 535301.i 2.50491 + 0.911713i
\(204\) −2799.45 4723.58i −0.00470975 0.00794686i
\(205\) −50990.2 + 289180.i −0.0847426 + 0.480599i
\(206\) −150125. 260024.i −0.246482 0.426919i
\(207\) −421105. 337289.i −0.683069 0.547112i
\(208\) 2089.63 3619.34i 0.00334897 0.00580058i
\(209\) −608477. 510573.i −0.963560 0.808523i
\(210\) 257452. 221078.i 0.402854 0.345938i
\(211\) −53751.3 304839.i −0.0831157 0.471372i −0.997747 0.0670841i \(-0.978630\pi\)
0.914632 0.404288i \(-0.132481\pi\)
\(212\) −403175. + 338304.i −0.616104 + 0.516972i
\(213\) 23318.5 141674.i 0.0352170 0.213964i
\(214\) −254390. + 92590.4i −0.379722 + 0.138207i
\(215\) −443943. −0.654984
\(216\) 361109. + 578796.i 0.526628 + 0.844094i
\(217\) 908009. 1.30900
\(218\) −207754. + 75616.3i −0.296080 + 0.107764i
\(219\) −568010. + 214104.i −0.800287 + 0.301658i
\(220\) 192559. 161576.i 0.268230 0.225071i
\(221\) −767.200 4351.01i −0.00105664 0.00599251i
\(222\) 99798.8 + 530540.i 0.135907 + 0.722496i
\(223\) 328314. + 275488.i 0.442106 + 0.370971i 0.836497 0.547972i \(-0.184600\pi\)
−0.394391 + 0.918943i \(0.629044\pi\)
\(224\) −591883. + 1.02517e6i −0.788163 + 1.36514i
\(225\) 273929. + 450417.i 0.360730 + 0.593142i
\(226\) −94147.9 163069.i −0.122614 0.212373i
\(227\) −69528.6 + 394316.i −0.0895569 + 0.507902i 0.906723 + 0.421727i \(0.138576\pi\)
−0.996280 + 0.0861758i \(0.972535\pi\)
\(228\) 298775. 531396.i 0.380634 0.676988i
\(229\) 585239. + 213009.i 0.737470 + 0.268417i 0.683323 0.730116i \(-0.260534\pi\)
0.0541466 + 0.998533i \(0.482756\pi\)
\(230\) 223332. + 81286.2i 0.278376 + 0.101320i
\(231\) 1.28830e6 14690.1i 1.58849 0.0181132i
\(232\) 240678. 1.36495e6i 0.293573 1.66493i
\(233\) −514464. 891078.i −0.620820 1.07529i −0.989333 0.145669i \(-0.953467\pi\)
0.368514 0.929622i \(-0.379867\pi\)
\(234\) 41404.8 + 207087.i 0.0494323 + 0.247236i
\(235\) 174582. 302385.i 0.206220 0.357183i
\(236\) 83557.9 + 70113.4i 0.0976579 + 0.0819447i
\(237\) −506638. 177886.i −0.585904 0.205717i
\(238\) 2152.74 + 12208.8i 0.00246348 + 0.0139711i
\(239\) −750325. + 629598.i −0.849679 + 0.712965i −0.959719 0.280962i \(-0.909347\pi\)
0.110040 + 0.993927i \(0.464902\pi\)
\(240\) 6205.28 + 5087.42i 0.00695398 + 0.00570124i
\(241\) 870045. 316670.i 0.964937 0.351208i 0.188971 0.981983i \(-0.439485\pi\)
0.775966 + 0.630774i \(0.217263\pi\)
\(242\) −14232.9 −0.0156227
\(243\) 881504. + 265026.i 0.957654 + 0.287920i
\(244\) −780303. −0.839052
\(245\) 713193. 259581.i 0.759087 0.276285i
\(246\) 396532. + 325098.i 0.417773 + 0.342513i
\(247\) 375769. 315308.i 0.391903 0.328846i
\(248\) −139630. 791882.i −0.144162 0.817582i
\(249\) −1.47620e6 518310.i −1.50886 0.529775i
\(250\) −434140. 364286.i −0.439318 0.368632i
\(251\) −125734. + 217778.i −0.125970 + 0.218187i −0.922112 0.386923i \(-0.873538\pi\)
0.796141 + 0.605111i \(0.206871\pi\)
\(252\) 193868. + 969634.i 0.192312 + 0.961848i
\(253\) 451163. + 781438.i 0.443131 + 0.767526i
\(254\) 134443. 762463.i 0.130754 0.741540i
\(255\) 8482.25 96.7211i 0.00816885 9.31474e-5i
\(256\) 975059. + 354893.i 0.929889 + 0.338452i
\(257\) −23240.0 8458.66i −0.0219484 0.00798856i 0.331023 0.943623i \(-0.392606\pi\)
−0.352971 + 0.935634i \(0.614829\pi\)
\(258\) −379933. + 675741.i −0.355351 + 0.632020i
\(259\) −353180. + 2.00298e6i −0.327150 + 1.85536i
\(260\) 77616.8 + 134436.i 0.0712070 + 0.123334i
\(261\) −971740. 1.59782e6i −0.882975 1.45186i
\(262\) −279314. + 483786.i −0.251385 + 0.435412i
\(263\) 715728. + 600568.i 0.638056 + 0.535393i 0.903421 0.428755i \(-0.141048\pi\)
−0.265364 + 0.964148i \(0.585492\pi\)
\(264\) −210921. 1.12127e6i −0.186256 0.990153i
\(265\) −141193. 800743.i −0.123509 0.700452i
\(266\) −1.05440e6 + 884743.i −0.913692 + 0.766678i
\(267\) 1.56961e6 591646.i 1.34746 0.507907i
\(268\) 755568. 275004.i 0.642594 0.233885i
\(269\) 261478. 0.220320 0.110160 0.993914i \(-0.464864\pi\)
0.110160 + 0.993914i \(0.464864\pi\)
\(270\) −405238. + 13867.3i −0.338299 + 0.0115767i
\(271\) −2.14349e6 −1.77296 −0.886478 0.462771i \(-0.846855\pi\)
−0.886478 + 0.462771i \(0.846855\pi\)
\(272\) −275.462 + 100.260i −0.000225756 + 8.21686e-5i
\(273\) −129220. + 785084.i −0.104935 + 0.637543i
\(274\) −935313. + 784821.i −0.752629 + 0.631530i
\(275\) −153099. 868267.i −0.122079 0.692344i
\(276\) −525400. + 451171.i −0.415162 + 0.356507i
\(277\) 594258. + 498642.i 0.465346 + 0.390471i 0.845093 0.534619i \(-0.179545\pi\)
−0.379748 + 0.925090i \(0.623989\pi\)
\(278\) −232357. + 402453.i −0.180320 + 0.312323i
\(279\) −846806. 678259.i −0.651289 0.521657i
\(280\) −566097. 980509.i −0.431515 0.747406i
\(281\) 261796. 1.48472e6i 0.197787 1.12170i −0.710607 0.703589i \(-0.751580\pi\)
0.908394 0.418115i \(-0.137309\pi\)
\(282\) −310861. 524523.i −0.232779 0.392773i
\(283\) −2.34865e6 854837.i −1.74322 0.634479i −0.743793 0.668410i \(-0.766975\pi\)
−0.999424 + 0.0339303i \(0.989198\pi\)
\(284\) −173182. 63033.1i −0.127411 0.0463738i
\(285\) 480180. + 810218.i 0.350180 + 0.590867i
\(286\) 61331.2 347827.i 0.0443370 0.251448i
\(287\) 965927. + 1.67303e6i 0.692212 + 1.19895i
\(288\) 1.31777e6 513950.i 0.936175 0.365124i
\(289\) 709774. 1.22936e6i 0.499891 0.865836i
\(290\) 631058. + 529520.i 0.440630 + 0.369732i
\(291\) −1.31972e6 + 1.13327e6i −0.913587 + 0.784515i
\(292\) 135300. + 767325.i 0.0928627 + 0.526650i
\(293\) 835977. 701468.i 0.568886 0.477352i −0.312390 0.949954i \(-0.601130\pi\)
0.881276 + 0.472602i \(0.156685\pi\)
\(294\) 215243. 1.30773e6i 0.145232 0.882367i
\(295\) −158351. + 57635.1i −0.105942 + 0.0385596i
\(296\) 1.80113e6 1.19486
\(297\) −1.21243e6 948624.i −0.797566 0.624027i
\(298\) 1.68445e6 1.09879
\(299\) −523632. + 190586.i −0.338726 + 0.123286i
\(300\) 633183. 238670.i 0.406187 0.153107i
\(301\) −2.23738e6 + 1.87738e6i −1.42339 + 1.19436i
\(302\) −30142.6 170947.i −0.0190179 0.107856i
\(303\) 42467.2 + 225760.i 0.0265734 + 0.141267i
\(304\) −24932.1 20920.5i −0.0154730 0.0129834i
\(305\) 602748. 1.04399e6i 0.371010 0.642609i
\(306\) 7112.01 12993.9i 0.00434199 0.00793298i
\(307\) −72394.9 125392.i −0.0438392 0.0759317i 0.843273 0.537485i \(-0.180626\pi\)
−0.887112 + 0.461553i \(0.847292\pi\)
\(308\) 287169. 1.62862e6i 0.172489 0.978232i
\(309\) −662426. + 1.17818e6i −0.394677 + 0.701964i
\(310\) 449101. + 163460.i 0.265424 + 0.0966065i
\(311\) 1.14442e6 + 416533.i 0.670938 + 0.244202i 0.654952 0.755671i \(-0.272689\pi\)
0.0159865 + 0.999872i \(0.494911\pi\)
\(312\) 704549. 8033.81i 0.409755 0.00467235i
\(313\) −292316. + 1.65780e6i −0.168652 + 0.956473i 0.776567 + 0.630035i \(0.216959\pi\)
−0.945219 + 0.326438i \(0.894152\pi\)
\(314\) 451887. + 782690.i 0.258646 + 0.447988i
\(315\) −1.44705e6 489615.i −0.821691 0.278021i
\(316\) −344615. + 596891.i −0.194141 + 0.336262i
\(317\) −424332. 356057.i −0.237169 0.199008i 0.516455 0.856314i \(-0.327251\pi\)
−0.753624 + 0.657306i \(0.771696\pi\)
\(318\) −1.33967e6 470373.i −0.742902 0.260840i
\(319\) 543105. + 3.08010e6i 0.298818 + 1.69468i
\(320\) −464679. + 389912.i −0.253675 + 0.212859i
\(321\) 942436. + 772659.i 0.510493 + 0.418529i
\(322\) 1.46929e6 534779.i 0.789713 0.287432i
\(323\) −34406.8 −0.0183501
\(324\) 543491. 1.04909e6i 0.287627 0.555202i
\(325\) 544476. 0.285937
\(326\) 1.44566e6 526176.i 0.753393 0.274212i
\(327\) 769665. + 631012.i 0.398045 + 0.326338i
\(328\) 1.31053e6 1.09967e6i 0.672609 0.564386i
\(329\) −398894. 2.26224e6i −0.203174 1.15226i
\(330\) 639836. + 224653.i 0.323433 + 0.113561i
\(331\) −523071. 438909.i −0.262416 0.220193i 0.502081 0.864821i \(-0.332568\pi\)
−0.764497 + 0.644627i \(0.777013\pi\)
\(332\) −1.00412e6 + 1.73918e6i −0.499964 + 0.865962i
\(333\) 1.82555e6 1.60416e6i 0.902160 0.792751i
\(334\) −529224. 916643.i −0.259581 0.449608i
\(335\) −215705. + 1.22332e6i −0.105014 + 0.595565i
\(336\) 52787.4 601.922i 0.0255083 0.000290865i
\(337\) 105313. + 38330.8i 0.0505135 + 0.0183854i 0.367153 0.930160i \(-0.380332\pi\)
−0.316640 + 0.948546i \(0.602555\pi\)
\(338\) −1.00321e6 365139.i −0.477640 0.173847i
\(339\) −415428. + 738872.i −0.196334 + 0.349196i
\(340\) 1890.75 10723.0i 0.000887025 0.00503057i
\(341\) 907251. + 1.57140e6i 0.422514 + 0.731816i
\(342\) 1.64421e6 37501.9i 0.760136 0.0173376i
\(343\) 787581. 1.36413e6i 0.361460 0.626067i
\(344\) 1.98134e6 + 1.66254e6i 0.902738 + 0.757487i
\(345\) −197787. 1.05145e6i −0.0894644 0.475601i
\(346\) 294548. + 1.67047e6i 0.132272 + 0.750149i
\(347\) −2.64264e6 + 2.21744e6i −1.17819 + 0.988617i −0.178199 + 0.983995i \(0.557027\pi\)
−0.999989 + 0.00462265i \(0.998529\pi\)
\(348\) −2.24616e6 + 846662.i −0.994244 + 0.374768i
\(349\) 2.06740e6 752474.i 0.908577 0.330695i 0.154893 0.987931i \(-0.450497\pi\)
0.753685 + 0.657236i \(0.228275\pi\)
\(350\) −1.52778e6 −0.666640
\(351\) 706947. 635643.i 0.306280 0.275388i
\(352\) −2.36556e6 −1.01760
\(353\) 597295. 217398.i 0.255125 0.0928577i −0.211292 0.977423i \(-0.567767\pi\)
0.466416 + 0.884565i \(0.345545\pi\)
\(354\) −47790.8 + 290357.i −0.0202692 + 0.123147i
\(355\) 218109. 183015.i 0.0918549 0.0770754i
\(356\) −373883. 2.12039e6i −0.156354 0.886730i
\(357\) 42339.7 36357.9i 0.0175824 0.0150983i
\(358\) −1.14057e6 957055.i −0.470344 0.394666i
\(359\) 491595. 851468.i 0.201313 0.348684i −0.747639 0.664106i \(-0.768813\pi\)
0.948952 + 0.315421i \(0.102146\pi\)
\(360\) −204475. + 1.33728e6i −0.0831541 + 0.543833i
\(361\) −671992. 1.16392e6i −0.271391 0.470064i
\(362\) −186502. + 1.05771e6i −0.0748019 + 0.424223i
\(363\) 32666.7 + 55119.3i 0.0130119 + 0.0219552i
\(364\) 959687. + 349298.i 0.379644 + 0.138179i
\(365\) −1.13114e6 411701.i −0.444410 0.161752i
\(366\) −1.07325e6 1.81093e6i −0.418793 0.706639i
\(367\) 620549. 3.51931e6i 0.240498 1.36393i −0.590222 0.807241i \(-0.700960\pi\)
0.830720 0.556690i \(-0.187929\pi\)
\(368\) 18486.2 + 32019.1i 0.00711588 + 0.0123251i
\(369\) 348894. 2.28179e6i 0.133391 0.872388i
\(370\) −535260. + 927097.i −0.203264 + 0.352063i
\(371\) −4.09783e6 3.43848e6i −1.54568 1.29698i
\(372\) −1.05653e6 + 907265.i −0.395846 + 0.339920i
\(373\) −266786. 1.51302e6i −0.0992866 0.563083i −0.993349 0.115140i \(-0.963268\pi\)
0.894063 0.447942i \(-0.147843\pi\)
\(374\) −18977.6 + 15924.1i −0.00701558 + 0.00588677i
\(375\) −414343. + 2.51737e6i −0.152153 + 0.924420i
\(376\) −1.91158e6 + 695758.i −0.697305 + 0.253798i
\(377\) −1.93148e6 −0.699902
\(378\) −1.98367e6 + 1.78359e6i −0.714069 + 0.642046i
\(379\) −841107. −0.300783 −0.150391 0.988627i \(-0.548053\pi\)
−0.150391 + 0.988627i \(0.548053\pi\)
\(380\) 1.13600e6 413469.i 0.403570 0.146887i
\(381\) −3.26133e6 + 1.22932e6i −1.15102 + 0.433862i
\(382\) −727533. + 610473.i −0.255091 + 0.214046i
\(383\) 619465. + 3.51316e6i 0.215784 + 1.22377i 0.879541 + 0.475824i \(0.157850\pi\)
−0.663756 + 0.747949i \(0.731039\pi\)
\(384\) −340951. 1.81253e6i −0.117995 0.627273i
\(385\) 1.95715e6 + 1.64224e6i 0.672932 + 0.564657i
\(386\) 457900. 793106.i 0.156424 0.270934i
\(387\) 3.48893e6 79577.1i 1.18417 0.0270092i
\(388\) 1.11641e6 + 1.93369e6i 0.376484 + 0.652089i
\(389\) −434302. + 2.46305e6i −0.145518 + 0.825276i 0.821431 + 0.570308i \(0.193176\pi\)
−0.966949 + 0.254968i \(0.917935\pi\)
\(390\) −205243. + 365041.i −0.0683292 + 0.121529i
\(391\) 36728.5 + 13368.1i 0.0121496 + 0.00442209i
\(392\) −4.15512e6 1.51234e6i −1.36574 0.497089i
\(393\) 2.51461e6 28673.5i 0.821277 0.00936483i
\(394\) 524149. 2.97260e6i 0.170104 0.964708i
\(395\) −532398. 922141.i −0.171690 0.297375i
\(396\) −1.48435e6 + 1.30433e6i −0.475661 + 0.417976i
\(397\) 2.00348e6 3.47013e6i 0.637983 1.10502i −0.347891 0.937535i \(-0.613102\pi\)
0.985875 0.167485i \(-0.0535645\pi\)
\(398\) −594334. 498705.i −0.188071 0.157811i
\(399\) 5.84632e6 + 2.05270e6i 1.83844 + 0.645496i
\(400\) −6273.17 35576.9i −0.00196036 0.0111178i
\(401\) 3.96611e6 3.32796e6i 1.23170 1.03352i 0.233571 0.972340i \(-0.424959\pi\)
0.998127 0.0611777i \(-0.0194856\pi\)
\(402\) 1.67746e6 + 1.37527e6i 0.517711 + 0.424447i
\(403\) −1.05298e6 + 383253.i −0.322966 + 0.117550i
\(404\) 294863. 0.0898808
\(405\) 983788. + 1.53753e6i 0.298033 + 0.465784i
\(406\) 5.41967e6 1.63177
\(407\) −3.81926e6 + 1.39010e6i −1.14286 + 0.415967i
\(408\) −38218.9 31333.8i −0.0113665 0.00931887i
\(409\) 917173. 769600.i 0.271108 0.227487i −0.497090 0.867699i \(-0.665598\pi\)
0.768198 + 0.640212i \(0.221154\pi\)
\(410\) 176568. + 1.00137e6i 0.0518744 + 0.294195i
\(411\) 5.18604e6 + 1.82087e6i 1.51437 + 0.531710i
\(412\) 1.32904e6 + 1.11519e6i 0.385739 + 0.323673i
\(413\) −554324. + 960117.i −0.159915 + 0.276980i
\(414\) −1.76973e6 598792.i −0.507464 0.171702i
\(415\) −1.55126e6 2.68687e6i −0.442146 0.765819i
\(416\) 253677. 1.43867e6i 0.0718699 0.407594i
\(417\) 2.09186e6 23853.0i 0.589106 0.00671743i
\(418\) −2.58466e6 940738.i −0.723540 0.263347i
\(419\) 4.96120e6 + 1.80573e6i 1.38055 + 0.502479i 0.922345 0.386368i \(-0.126271\pi\)
0.458204 + 0.888847i \(0.348493\pi\)
\(420\) −961000. + 1.70922e6i −0.265828 + 0.472796i
\(421\) −544376. + 3.08731e6i −0.149690 + 0.848936i 0.813790 + 0.581158i \(0.197400\pi\)
−0.963481 + 0.267778i \(0.913711\pi\)
\(422\) −535939. 928274.i −0.146499 0.253744i
\(423\) −1.31783e6 + 2.40772e6i −0.358103 + 0.654268i
\(424\) −2.36858e6 + 4.10251e6i −0.639844 + 1.10824i
\(425\) −29255.6 24548.4i −0.00785665 0.00659251i
\(426\) −91913.0 488618.i −0.0245388 0.130450i
\(427\) −1.37719e6 7.81043e6i −0.365531 2.07303i
\(428\) 1.19831e6 1.00550e6i 0.316198 0.265321i
\(429\) −1.48778e6 + 560801.i −0.390298 + 0.147118i
\(430\) −1.44457e6 + 525782.i −0.376763 + 0.137131i
\(431\) 429050. 0.111254 0.0556268 0.998452i \(-0.482284\pi\)
0.0556268 + 0.998452i \(0.482284\pi\)
\(432\) −49679.0 38869.5i −0.0128075 0.0100207i
\(433\) 220902. 0.0566212 0.0283106 0.999599i \(-0.490987\pi\)
0.0283106 + 0.999599i \(0.490987\pi\)
\(434\) 2.95463e6 1.07540e6i 0.752971 0.274059i
\(435\) 602281. 3.65921e6i 0.152608 0.927180i
\(436\) 978628. 821167.i 0.246548 0.206878i
\(437\) 753557. + 4.27364e6i 0.188761 + 1.07052i
\(438\) −1.59471e6 + 1.36941e6i −0.397188 + 0.341073i
\(439\) 1.17377e6 + 984912.i 0.290685 + 0.243914i 0.776455 0.630173i \(-0.217016\pi\)
−0.485770 + 0.874087i \(0.661461\pi\)
\(440\) 1.13125e6 1.95938e6i 0.278565 0.482489i
\(441\) −5.55842e6 + 2.16787e6i −1.36099 + 0.530808i
\(442\) −7649.54 13249.4i −0.00186243 0.00322582i
\(443\) −180219. + 1.02207e6i −0.0436306 + 0.247442i −0.998821 0.0485516i \(-0.984539\pi\)
0.955190 + 0.295993i \(0.0956506\pi\)
\(444\) −1.59039e6 2.68351e6i −0.382866 0.646019i
\(445\) 3.12574e6 + 1.13768e6i 0.748260 + 0.272345i
\(446\) 1.39459e6 + 507590.i 0.331979 + 0.120830i
\(447\) −3.86607e6 6.52330e6i −0.915167 1.54418i
\(448\) −692990. + 3.93014e6i −0.163129 + 0.925152i
\(449\) −1.48631e6 2.57437e6i −0.347932 0.602635i 0.637950 0.770078i \(-0.279783\pi\)
−0.985882 + 0.167442i \(0.946449\pi\)
\(450\) 1.42480e6 + 1.14121e6i 0.331684 + 0.265666i
\(451\) −1.93024e6 + 3.34328e6i −0.446859 + 0.773982i
\(452\) 833478. + 699371.i 0.191888 + 0.161013i
\(453\) −592839. + 509082.i −0.135735 + 0.116558i
\(454\) 240763. + 1.36544e6i 0.0548215 + 0.310908i
\(455\) −1.20865e6 + 1.01418e6i −0.273698 + 0.229660i
\(456\) 891154. 5.41428e6i 0.200697 1.21935i
\(457\) −3.71254e6 + 1.35125e6i −0.831535 + 0.302654i −0.722489 0.691383i \(-0.757002\pi\)
−0.109046 + 0.994037i \(0.534780\pi\)
\(458\) 2.15662e6 0.480408
\(459\) −66644.3 + 2280.58i −0.0147649 + 0.000505258i
\(460\) −1.37330e6 −0.302601
\(461\) 1.16674e6 424659.i 0.255695 0.0930654i −0.210992 0.977488i \(-0.567670\pi\)
0.466687 + 0.884422i \(0.345447\pi\)
\(462\) 4.17467e6 1.57359e6i 0.909949 0.342994i
\(463\) −371878. + 312042.i −0.0806209 + 0.0676490i −0.682207 0.731159i \(-0.738980\pi\)
0.601587 + 0.798808i \(0.294535\pi\)
\(464\) 22253.5 + 126206.i 0.00479848 + 0.0272135i
\(465\) −397733. 2.11439e6i −0.0853020 0.453473i
\(466\) −2.72939e6 2.29023e6i −0.582239 0.488556i
\(467\) −152576. + 264269.i −0.0323738 + 0.0560731i −0.881758 0.471701i \(-0.843640\pi\)
0.849385 + 0.527774i \(0.176973\pi\)
\(468\) −634085. 1.04262e6i −0.133824 0.220044i
\(469\) 4.08618e6 + 7.07748e6i 0.857800 + 1.48575i
\(470\) 209955. 1.19072e6i 0.0438412 0.248636i
\(471\) 1.99395e6 3.54640e6i 0.414154 0.736607i
\(472\) 922568. + 335787.i 0.190609 + 0.0693760i
\(473\) −5.48452e6 1.99620e6i −1.12716 0.410253i
\(474\) −1.85926e6 + 21200.7i −0.380097 + 0.00433415i
\(475\) 736300. 4.17576e6i 0.149734 0.849184i
\(476\) −35817.1 62037.1i −0.00724559 0.0125497i
\(477\) 1.25316e6 + 6.26769e6i 0.252180 + 1.26128i
\(478\) −1.69587e6 + 2.93733e6i −0.339487 + 0.588008i
\(479\) 4.13069e6 + 3.46606e6i 0.822591 + 0.690236i 0.953577 0.301149i \(-0.0973700\pi\)
−0.130986 + 0.991384i \(0.541814\pi\)
\(480\) 2.64647e6 + 929204.i 0.524281 + 0.184081i
\(481\) −435853. 2.47185e6i −0.0858969 0.487145i
\(482\) 2.45605e6 2.06087e6i 0.481525 0.404047i
\(483\) −5.44328e6 4.46269e6i −1.06168 0.870420i
\(484\) 77282.2 28128.4i 0.0149957 0.00545798i
\(485\) −3.44951e6 −0.665891
\(486\) 3.18226e6 181622.i 0.611147 0.0348801i
\(487\) −1.88175e6 −0.359534 −0.179767 0.983709i \(-0.557534\pi\)
−0.179767 + 0.983709i \(0.557534\pi\)
\(488\) −6.59976e6 + 2.40212e6i −1.25452 + 0.456609i
\(489\) −5.35571e6 4.39089e6i −1.01285 0.830388i
\(490\) 2.01327e6 1.68933e6i 0.378801 0.317852i
\(491\) 1.10068e6 + 6.24229e6i 0.206043 + 1.16853i 0.895789 + 0.444479i \(0.146611\pi\)
−0.689746 + 0.724051i \(0.742278\pi\)
\(492\) −2.79559e6 981560.i −0.520668 0.182812i
\(493\) 103782. + 87083.3i 0.0192311 + 0.0161368i
\(494\) 849305. 1.47104e6i 0.156584 0.271211i
\(495\) −598516. 2.99349e6i −0.109790 0.549116i
\(496\) 37174.2 + 64387.6i 0.00678481 + 0.0117516i
\(497\) 325273. 1.84471e6i 0.0590686 0.334995i
\(498\) −5.41737e6 + 61773.0i −0.978848 + 0.0111616i
\(499\) −1.37023e6 498724.i −0.246345 0.0896621i 0.215897 0.976416i \(-0.430732\pi\)
−0.462242 + 0.886754i \(0.652955\pi\)
\(500\) 3.07724e6 + 1.12002e6i 0.550473 + 0.200356i
\(501\) −2.33520e6 + 4.15335e6i −0.415652 + 0.739271i
\(502\) −151210. + 857553.i −0.0267806 + 0.151880i
\(503\) −2.78345e6 4.82107e6i −0.490527 0.849618i 0.509414 0.860522i \(-0.329862\pi\)
−0.999941 + 0.0109042i \(0.996529\pi\)
\(504\) 4.62469e6 + 7.60430e6i 0.810972 + 1.33347i
\(505\) −227768. + 394506.i −0.0397433 + 0.0688374i
\(506\) 2.39356e6 + 2.00844e6i 0.415593 + 0.348724i
\(507\) 888463. + 4.72315e6i 0.153504 + 0.816041i
\(508\) 776851. + 4.40574e6i 0.133561 + 0.757460i
\(509\) 8.25442e6 6.92628e6i 1.41219 1.18497i 0.456815 0.889562i \(-0.348990\pi\)
0.955372 0.295404i \(-0.0954544\pi\)
\(510\) 27486.4 10360.6i 0.00467942 0.00176385i
\(511\) −7.44173e6 + 2.70857e6i −1.26073 + 0.458868i
\(512\) −192895. −0.0325197
\(513\) −3.91894e6 6.28139e6i −0.657469 1.05381i
\(514\) −85640.0 −0.0142978
\(515\) −2.51866e6 + 916719.i −0.418458 + 0.152306i
\(516\) 727505. 4.42001e6i 0.120285 0.730801i
\(517\) 3.51649e6 2.95068e6i 0.578606 0.485508i
\(518\) 1.22299e6 + 6.93592e6i 0.200262 + 1.13574i
\(519\) 5.79313e6 4.97467e6i 0.944050 0.810673i
\(520\) 1.07033e6 + 898116.i 0.173584 + 0.145655i
\(521\) −809566. + 1.40221e6i −0.130665 + 0.226318i −0.923933 0.382554i \(-0.875044\pi\)
0.793268 + 0.608872i \(0.208378\pi\)
\(522\) −5.05437e6 4.04836e6i −0.811878 0.650283i
\(523\) 3.20385e6 + 5.54923e6i 0.512175 + 0.887113i 0.999900 + 0.0141158i \(0.00449335\pi\)
−0.487726 + 0.872997i \(0.662173\pi\)
\(524\) 560522. 3.17888e6i 0.0891794 0.505762i
\(525\) 3.50650e6 + 5.91659e6i 0.555233 + 0.936857i
\(526\) 3.04023e6 + 1.10655e6i 0.479118 + 0.174385i
\(527\) 73857.9 + 26882.1i 0.0115843 + 0.00421635i
\(528\) 53785.0 + 90752.7i 0.00839608 + 0.0141669i
\(529\) −261628. + 1.48377e6i −0.0406485 + 0.230529i
\(530\) −1.40779e6 2.43837e6i −0.217695 0.377059i
\(531\) 1.23414e6 481336.i 0.189946 0.0740819i
\(532\) 3.97667e6 6.88780e6i 0.609173 1.05512i
\(533\) −1.82630e6 1.53245e6i −0.278454 0.233651i
\(534\) 4.40675e6 3.78416e6i 0.668752 0.574270i
\(535\) 419649. + 2.37995e6i 0.0633872 + 0.359487i
\(536\) 5.54397e6 4.65194e6i 0.833506 0.699395i
\(537\) −1.08856e6 + 6.61365e6i −0.162899 + 0.989705i
\(538\) 850840. 309680.i 0.126734 0.0461273i
\(539\) 9.97807e6 1.47936
\(540\) 2.17297e6 876167.i 0.320678 0.129301i
\(541\) 2.96770e6 0.435940 0.217970 0.975956i \(-0.430057\pi\)
0.217970 + 0.975956i \(0.430057\pi\)
\(542\) −6.97483e6 + 2.53863e6i −1.01985 + 0.371194i
\(543\) 4.52420e6 1.70534e6i 0.658479 0.248205i
\(544\) −78494.8 + 65865.0i −0.0113722 + 0.00954239i
\(545\) 342717. + 1.94365e6i 0.0494248 + 0.280302i
\(546\) 509335. + 2.70767e6i 0.0731176 + 0.388700i
\(547\) −4.37241e6 3.66889e6i −0.624817 0.524283i 0.274497 0.961588i \(-0.411489\pi\)
−0.899313 + 0.437305i \(0.855933\pi\)
\(548\) 3.52755e6 6.10989e6i 0.501790 0.869125i
\(549\) −4.54983e6 + 8.31271e6i −0.644265 + 1.17710i
\(550\) −1.52651e6 2.64399e6i −0.215175 0.372694i
\(551\) −2.61196e6 + 1.48132e7i −0.366511 + 2.07859i
\(552\) −3.05490e6 + 5.43339e6i −0.426726 + 0.758967i
\(553\) −6.58280e6 2.39594e6i −0.915372 0.333168i
\(554\) 2.52426e6 + 918755.i 0.349429 + 0.127182i
\(555\) 4.81884e6 54948.1i 0.664064 0.00757217i
\(556\) 466289. 2.64446e6i 0.0639688 0.362785i
\(557\) −1.31997e6 2.28626e6i −0.180272 0.312240i 0.761701 0.647928i \(-0.224364\pi\)
−0.941973 + 0.335689i \(0.891031\pi\)
\(558\) −3.55877e6 1.20412e6i −0.483854 0.163713i
\(559\) 1.80218e6 3.12147e6i 0.243932 0.422503i
\(560\) 80193.2 + 67290.1i 0.0108061 + 0.00906737i
\(561\) 105226. + 36945.8i 0.0141161 + 0.00495630i
\(562\) −906546. 5.14128e6i −0.121073 0.686642i
\(563\) −1.26314e6 + 1.05990e6i −0.167950 + 0.140927i −0.722889 0.690964i \(-0.757186\pi\)
0.554939 + 0.831891i \(0.312742\pi\)
\(564\) 2.72453e6 + 2.23372e6i 0.360657 + 0.295686i
\(565\) −1.57953e6 + 574902.i −0.208165 + 0.0757658i
\(566\) −8.65483e6 −1.13558
\(567\) 1.14601e7 + 3.58848e6i 1.49703 + 0.468762i
\(568\) −1.65881e6 −0.215737
\(569\) 7.33050e6 2.66808e6i 0.949190 0.345477i 0.179401 0.983776i \(-0.442584\pi\)
0.769788 + 0.638299i \(0.220362\pi\)
\(570\) 2.52206e6 + 2.06772e6i 0.325139 + 0.266566i
\(571\) −543778. + 456284.i −0.0697962 + 0.0585659i −0.677018 0.735966i \(-0.736728\pi\)
0.607222 + 0.794532i \(0.292284\pi\)
\(572\) 354390. + 2.00985e6i 0.0452889 + 0.256846i
\(573\) 4.03396e6 + 1.41637e6i 0.513269 + 0.180214i
\(574\) 5.12454e6 + 4.30000e6i 0.649195 + 0.544739i
\(575\) −2.40839e6 + 4.17146e6i −0.303779 + 0.526161i
\(576\) 3.58200e6 3.14759e6i 0.449851 0.395296i
\(577\) −815174. 1.41192e6i −0.101932 0.176551i 0.810549 0.585671i \(-0.199169\pi\)
−0.912481 + 0.409120i \(0.865836\pi\)
\(578\) 853585. 4.84092e6i 0.106274 0.602710i
\(579\) −4.12239e6 + 47006.6i −0.511037 + 0.00582723i
\(580\) −4.47302e6 1.62805e6i −0.552117 0.200954i
\(581\) −1.91805e7 6.98112e6i −2.35732 0.857996i
\(582\) −2.95214e6 + 5.25063e6i −0.361268 + 0.642545i
\(583\) 1.85625e6 1.05273e7i 0.226186 1.28276i
\(584\) 3.50653e6 + 6.07348e6i 0.425446 + 0.736895i
\(585\) 1.88475e6 42988.2i 0.227700 0.00519349i
\(586\) 1.88946e6 3.27264e6i 0.227297 0.393690i
\(587\) −1.01965e7 8.55584e6i −1.22139 1.02487i −0.998751 0.0499662i \(-0.984089\pi\)
−0.222638 0.974901i \(-0.571467\pi\)
\(588\) 1.41572e6 + 7.52612e6i 0.168863 + 0.897693i
\(589\) 1.51534e6 + 8.59392e6i 0.179979 + 1.02071i
\(590\) −447009. + 375085.i −0.0528672 + 0.0443608i
\(591\) −1.27149e7 + 4.79272e6i −1.49742 + 0.564434i
\(592\) −156493. + 56958.6i −0.0183522 + 0.00667967i
\(593\) 6.76417e6 0.789911 0.394955 0.918700i \(-0.370760\pi\)
0.394955 + 0.918700i \(0.370760\pi\)
\(594\) −5.06871e6 1.65085e6i −0.589429 0.191973i
\(595\) 110668. 0.0128154
\(596\) −9.14625e6 + 3.32896e6i −1.05470 + 0.383878i
\(597\) −567232. + 3.44626e6i −0.0651365 + 0.395742i
\(598\) −1.47816e6 + 1.24032e6i −0.169032 + 0.141834i
\(599\) −2.41895e6 1.37185e7i −0.275461 1.56221i −0.737495 0.675352i \(-0.763992\pi\)
0.462035 0.886862i \(-0.347120\pi\)
\(600\) 4.62069e6 3.96788e6i 0.523997 0.449966i
\(601\) 179938. + 150986.i 0.0203206 + 0.0170510i 0.652891 0.757452i \(-0.273556\pi\)
−0.632571 + 0.774503i \(0.718000\pi\)
\(602\) −5.05687e6 + 8.75875e6i −0.568710 + 0.985034i
\(603\) 1.47593e6 9.65271e6i 0.165300 1.08108i
\(604\) 501510. + 868641.i 0.0559355 + 0.0968831i
\(605\) −22063.1 + 125126.i −0.00245063 + 0.0138982i
\(606\) 405564. + 684317.i 0.0448619 + 0.0756965i
\(607\) 1.01942e7 + 3.71040e6i 1.12301 + 0.408742i 0.835750 0.549111i \(-0.185034\pi\)
0.287260 + 0.957853i \(0.407256\pi\)
\(608\) −1.06906e7 3.89106e6i −1.17285 0.426883i
\(609\) −1.24390e7 2.09886e7i −1.35907 2.29319i
\(610\) 724874. 4.11096e6i 0.0788747 0.447321i
\(611\) 1.41743e6 + 2.45506e6i 0.153603 + 0.266048i
\(612\) −12937.2 + 84610.1i −0.00139624 + 0.00913153i
\(613\) −5.08987e6 + 8.81591e6i −0.547086 + 0.947580i 0.451387 + 0.892328i \(0.350929\pi\)
−0.998472 + 0.0552516i \(0.982404\pi\)
\(614\) −384078. 322279.i −0.0411148 0.0344994i
\(615\) 3.47272e6 2.98209e6i 0.370239 0.317931i
\(616\) −2.58474e6 1.46588e7i −0.274451 1.55649i
\(617\) 710785. 596419.i 0.0751667 0.0630723i −0.604430 0.796658i \(-0.706599\pi\)
0.679597 + 0.733586i \(0.262155\pi\)
\(618\) −760140. + 4.61829e6i −0.0800612 + 0.486419i
\(619\) 1.32790e7 4.83316e6i 1.39296 0.506996i 0.466879 0.884321i \(-0.345378\pi\)
0.926081 + 0.377325i \(0.123156\pi\)
\(620\) −2.76159e6 −0.288522
\(621\) 1.74287e6 + 8.22788e6i 0.181358 + 0.856168i
\(622\) 4.21720e6 0.437067
\(623\) 2.05642e7 7.48474e6i 2.12271 0.772603i
\(624\) −60961.2 + 22978.6i −0.00626747 + 0.00236244i
\(625\) 1.31787e6 1.10582e6i 0.134950 0.113236i
\(626\) 1.01223e6 + 5.74064e6i 0.103239 + 0.585496i
\(627\) 2.28902e6 + 1.21687e7i 0.232531 + 1.23616i
\(628\) −4.00049e6 3.35681e6i −0.404775 0.339647i
\(629\) −88027.2 + 152468.i −0.00887136 + 0.0153656i
\(630\) −5.28853e6 + 120623.i −0.530865 + 0.0121082i
\(631\) −6.02108e6 1.04288e7i −0.602006 1.04271i −0.992517 0.122107i \(-0.961035\pi\)
0.390511 0.920598i \(-0.372298\pi\)
\(632\) −1.07724e6 + 6.10935e6i −0.107281 + 0.608419i
\(633\) −2.36483e6 + 4.20605e6i −0.234580 + 0.417220i
\(634\) −1.80246e6 656040.i −0.178091 0.0648197i
\(635\) −6.49464e6 2.36386e6i −0.639177 0.232641i
\(636\) 8.20379e6 93545.9i 0.804214 0.00917026i
\(637\) −1.07002e6 + 6.06840e6i −0.104483 + 0.592551i
\(638\) 5.41515e6 + 9.37932e6i 0.526695 + 0.912262i
\(639\) −1.68130e6 + 1.47740e6i −0.162890 + 0.143135i
\(640\) 1.82865e6 3.16732e6i 0.176474 0.305662i
\(641\) 795104. + 667171.i 0.0764326 + 0.0641346i 0.680204 0.733023i \(-0.261891\pi\)
−0.603771 + 0.797158i \(0.706336\pi\)
\(642\) 3.98175e6 + 1.39803e6i 0.381273 + 0.133869i
\(643\) 2.64523e6 + 1.50018e7i 0.252311 + 1.43093i 0.802882 + 0.596137i \(0.203299\pi\)
−0.550572 + 0.834788i \(0.685590\pi\)
\(644\) −6.92113e6 + 5.80752e6i −0.657601 + 0.551792i
\(645\) 5.35170e6 + 4.38760e6i 0.506515 + 0.415267i
\(646\) −111958. + 40749.5i −0.0105554 + 0.00384186i
\(647\) −5.36349e6 −0.503717 −0.251859 0.967764i \(-0.581042\pi\)
−0.251859 + 0.967764i \(0.581042\pi\)
\(648\) 1.36725e6 1.05463e7i 0.127912 0.986646i
\(649\) −2.21545e6 −0.206466
\(650\) 1.77170e6 644848.i 0.164478 0.0598651i
\(651\) −1.09460e7 8.97409e6i −1.01228 0.829923i
\(652\) −6.80978e6 + 5.71409e6i −0.627356 + 0.526415i
\(653\) 2.96352e6 + 1.68069e7i 0.271972 + 1.54243i 0.748418 + 0.663227i \(0.230814\pi\)
−0.476446 + 0.879204i \(0.658075\pi\)
\(654\) 3.25180e6 + 1.14174e6i 0.297289 + 0.104381i
\(655\) 3.82014e6 + 3.20547e6i 0.347917 + 0.291937i
\(656\) −79090.8 + 136989.i −0.00717574 + 0.0124287i
\(657\) 8.96336e6 + 3.03278e6i 0.810135 + 0.274112i
\(658\) −3.97726e6 6.88882e6i −0.358113 0.620269i
\(659\) 1.90012e6 1.07761e7i 0.170439 0.966606i −0.772839 0.634602i \(-0.781164\pi\)
0.943278 0.332004i \(-0.107725\pi\)
\(660\) −3.91818e6 + 44678.1i −0.350126 + 0.00399240i
\(661\) 4.51566e6 + 1.64357e6i 0.401992 + 0.146313i 0.535101 0.844788i \(-0.320274\pi\)
−0.133109 + 0.991101i \(0.542496\pi\)
\(662\) −2.22187e6 808696.i −0.197049 0.0717200i
\(663\) −33753.6 + 60033.5i −0.00298220 + 0.00530408i
\(664\) −3.13879e6 + 1.78010e7i −0.276276 + 1.56684i
\(665\) 6.14358e6 + 1.06410e7i 0.538726 + 0.933100i
\(666\) 4.04040e6 7.38196e6i 0.352971 0.644890i
\(667\) 8.54357e6 1.47979e7i 0.743575 1.28791i
\(668\) 4.68515e6 + 3.93131e6i 0.406240 + 0.340875i
\(669\) −1.23508e6 6.56579e6i −0.106691 0.567181i
\(670\) 746942. + 4.23612e6i 0.0642835 + 0.364570i
\(671\) 1.21407e7 1.01873e7i 1.04097 0.873478i
\(672\) 1.72671e7 6.50863e6i 1.47502 0.555990i
\(673\) 7.67409e6 2.79314e6i 0.653115 0.237714i 0.00585379 0.999983i \(-0.498137\pi\)
0.647261 + 0.762269i \(0.275914\pi\)
\(674\) 388081. 0.0329058
\(675\) 1.14940e6 8.13706e6i 0.0970980 0.687397i
\(676\) 6.16888e6 0.519206
\(677\) 1.48843e7 5.41746e6i 1.24813 0.454280i 0.368358 0.929684i \(-0.379920\pi\)
0.879768 + 0.475404i \(0.157698\pi\)
\(678\) −476707. + 2.89627e6i −0.0398269 + 0.241972i
\(679\) −1.73848e7 + 1.45876e7i −1.44709 + 1.21425i
\(680\) −17018.1 96514.7i −0.00141137 0.00800426i
\(681\) 4.73529e6 4.06628e6i 0.391272 0.335993i
\(682\) 4.81325e6 + 4.03879e6i 0.396257 + 0.332499i
\(683\) 7.03442e6 1.21840e7i 0.577001 0.999395i −0.418820 0.908069i \(-0.637556\pi\)
0.995821 0.0913260i \(-0.0291105\pi\)
\(684\) −8.85364e6 + 3.45306e6i −0.723572 + 0.282205i
\(685\) 5.44973e6 + 9.43921e6i 0.443760 + 0.768616i
\(686\) 947158. 5.37160e6i 0.0768444 0.435806i
\(687\) −4.94978e6 8.35188e6i −0.400124 0.675138i
\(688\) −224726. 81793.5i −0.0181001 0.00658791i
\(689\) 6.20340e6 + 2.25785e6i 0.497830 + 0.181195i
\(690\) −1.88888e6 3.18715e6i −0.151036 0.254847i
\(691\) −2.06267e6 + 1.16980e7i −0.164337 + 0.931999i 0.785409 + 0.618977i \(0.212453\pi\)
−0.949746 + 0.313022i \(0.898659\pi\)
\(692\) −4.90068e6 8.48823e6i −0.389037 0.673832i
\(693\) −1.56755e7 1.25555e7i −1.23990 0.993116i
\(694\) −5.97284e6 + 1.03453e7i −0.470741 + 0.815348i
\(695\) 3.17790e6 + 2.66658e6i 0.249562 + 0.209408i
\(696\) −1.63915e7 + 1.40757e7i −1.28261 + 1.10140i
\(697\) 29037.9 + 164682.i 0.00226404 + 0.0128400i
\(698\) 5.83607e6 4.89704e6i 0.453400 0.380448i
\(699\) −2.60493e6 + 1.58265e7i −0.201652 + 1.22516i
\(700\) 8.29558e6 3.01935e6i 0.639885 0.232899i
\(701\) −5.12301e6 −0.393759 −0.196879 0.980428i \(-0.563081\pi\)
−0.196879 + 0.980428i \(0.563081\pi\)
\(702\) 1.54756e6 2.90563e6i 0.118523 0.222534i
\(703\) −1.95468e7 −1.49172
\(704\) −7.49394e6 + 2.72757e6i −0.569873 + 0.207417i
\(705\) −5.09312e6 + 1.91979e6i −0.385933 + 0.145472i
\(706\) 1.68610e6 1.41481e6i 0.127313 0.106828i
\(707\) 520416. + 2.95143e6i 0.0391564 + 0.222067i
\(708\) −314335. 1.67104e6i −0.0235673 0.125286i
\(709\) −1.40863e7 1.18198e7i −1.05240 0.883070i −0.0590579 0.998255i \(-0.518810\pi\)
−0.993344 + 0.115184i \(0.963254\pi\)
\(710\) 492965. 853840.i 0.0367003 0.0635669i
\(711\) 4.34939e6 + 7.15163e6i 0.322667 + 0.530556i
\(712\) −9.68978e6 1.67832e7i −0.716331 1.24072i
\(713\) 1.72141e6 9.76258e6i 0.126812 0.719185i
\(714\) 94711.5 168452.i 0.00695276 0.0123660i
\(715\) −2.96278e6 1.07836e6i −0.216738 0.0788860i
\(716\) 8.08454e6 + 2.94253e6i 0.589349 + 0.214506i
\(717\) 1.52676e7 174093.i 1.10911 0.0126469i
\(718\) 591201. 3.35286e6i 0.0427980 0.242720i
\(719\) 4.34550e6 + 7.52662e6i 0.313485 + 0.542972i 0.979114 0.203310i \(-0.0651700\pi\)
−0.665629 + 0.746283i \(0.731837\pi\)
\(720\) −24524.0 122657.i −0.00176303 0.00881781i
\(721\) −8.81683e6 + 1.52712e7i −0.631647 + 1.09404i
\(722\) −3.56513e6 2.99150e6i −0.254526 0.213573i
\(723\) −1.36181e7 4.78144e6i −0.968879 0.340183i
\(724\) −1.07767e6 6.11175e6i −0.0764078 0.433330i
\(725\) −1.27897e7 + 1.07319e7i −0.903684 + 0.758281i
\(726\) 171577. + 140668.i 0.0120814 + 0.00990495i
\(727\) 1.02663e7 3.73663e6i 0.720407 0.262207i 0.0443084 0.999018i \(-0.485892\pi\)
0.676099 + 0.736811i \(0.263669\pi\)
\(728\) 9.19228e6 0.642828
\(729\) −8.00715e6 1.19070e7i −0.558032 0.829819i
\(730\) −4.16828e6 −0.289501
\(731\) −237570. + 86468.5i −0.0164437 + 0.00598500i
\(732\) 9.40650e6 + 7.71194e6i 0.648859 + 0.531969i
\(733\) 1.80168e6 1.51179e6i 0.123856 0.103928i −0.578756 0.815501i \(-0.696462\pi\)
0.702612 + 0.711573i \(0.252017\pi\)
\(734\) −2.14883e6 1.21866e7i −0.147219 0.834918i
\(735\) −1.11630e7 3.91944e6i −0.762188 0.267612i
\(736\) 9.90018e6 + 8.30724e6i 0.673672 + 0.565278i
\(737\) −8.16555e6 + 1.41431e7i −0.553754 + 0.959130i
\(738\) −1.56714e6 7.83806e6i −0.105917 0.529746i
\(739\) −2.43224e6 4.21276e6i −0.163830 0.283763i 0.772409 0.635126i \(-0.219052\pi\)
−0.936239 + 0.351363i \(0.885718\pi\)
\(740\) 1.07415e6 6.09180e6i 0.0721083 0.408947i
\(741\) −7.64614e6 + 87187.1i −0.511560 + 0.00583320i
\(742\) −1.74065e7 6.33546e6i −1.16065 0.422443i
\(743\) −6.84835e6 2.49260e6i −0.455108 0.165646i 0.104287 0.994547i \(-0.466744\pi\)
−0.559394 + 0.828902i \(0.688966\pi\)
\(744\) −6.14314e6 + 1.09261e7i −0.406873 + 0.723656i
\(745\) 2.61113e6 1.48085e7i 0.172361 0.977507i
\(746\) −2.66005e6 4.60734e6i −0.175002 0.303112i
\(747\) 1.26729e7 + 2.08379e7i 0.830951 + 1.36632i
\(748\) 71574.5 123971.i 0.00467740 0.00810149i
\(749\) 1.21795e7 + 1.02198e7i 0.793275 + 0.665636i
\(750\) 1.63318e6 + 8.68216e6i 0.106019 + 0.563605i
\(751\) 1.43197e6 + 8.12110e6i 0.0926475 + 0.525430i 0.995443 + 0.0953598i \(0.0304002\pi\)
−0.902795 + 0.430070i \(0.858489\pi\)
\(752\) 144087. 120903.i 0.00929136 0.00779637i
\(753\) 3.66807e6 1.38263e6i 0.235749 0.0888626i
\(754\) −6.28497e6 + 2.28754e6i −0.402601 + 0.146535i
\(755\) −1.54957e6 −0.0989337
\(756\) 7.24608e6 1.36049e7i 0.461104 0.865748i
\(757\) −1.11033e7 −0.704228 −0.352114 0.935957i \(-0.614537\pi\)
−0.352114 + 0.935957i \(0.614537\pi\)
\(758\)