Properties

Label 27.6.e.a.4.9
Level 27
Weight 6
Character 27.4
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 4.9
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.9

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.25396 + 1.18435i 0.575225 + 0.209365i 0.613219 0.789913i \(-0.289875\pi\)
−0.0379938 + 0.999278i \(0.512097\pi\)
\(3\) −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 0.898406 + 0.439165i \(0.144726\pi\)
−0.994429 + 0.105407i \(0.966386\pi\)
\(6\) −50.9315 + 17.8826i −0.577574 + 0.202792i
\(7\) −155.790 + 130.724i −1.20170 + 1.00834i −0.202119 + 0.979361i \(0.564783\pi\)
−0.999580 + 0.0289837i \(0.990773\pi\)
\(8\) −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 0.937158 + 0.348905i \(0.113446\pi\)
−0.761308 + 0.648390i \(0.775442\pi\)
\(12\) 311.890 + 3.55641i 0.625242 + 0.00712949i
\(13\) 235.839 85.8386i 0.387042 0.140872i −0.141168 0.989986i \(-0.545086\pi\)
0.528210 + 0.849114i \(0.322863\pi\)
\(14\) −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 −0.869695 0.493589i \(-0.835685\pi\)
0.862308 + 0.506384i \(0.169018\pi\)
\(18\) 437.237 718.942i 0.318079 0.523013i
\(19\) 977.252 + 1692.65i 0.621044 + 1.07568i 0.989292 + 0.145952i \(0.0466245\pi\)
−0.368248 + 0.929728i \(0.620042\pi\)
\(20\) 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 0.242773 0.970083i \(-0.421943\pi\)
−0.913188 + 0.407538i \(0.866387\pi\)
\(24\) 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 −0.618031 0.786154i \(-0.712069\pi\)
−0.978769 + 0.204966i \(0.934292\pi\)
\(30\) −270.998 1646.47i −0.0549747 0.334003i
\(31\) −3420.25 2869.93i −0.639224 0.536373i 0.264556 0.964370i \(-0.414775\pi\)
−0.903780 + 0.427998i \(0.859219\pi\)
\(32\) −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 0.392258 + 0.919855i \(0.371694\pi\)
−0.992747 + 0.120222i \(0.961639\pi\)
\(38\) 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 −0.721573 0.692338i \(-0.756581\pi\)
−0.107731 + 0.994180i \(0.534358\pi\)
\(42\) 5596.96 9443.88i 0.489586 0.826089i
\(43\) 2493.84 + 14143.3i 0.205683 + 1.16648i 0.896362 + 0.443323i \(0.146200\pi\)
−0.690679 + 0.723161i \(0.742688\pi\)
\(44\) 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 −0.310736 0.950496i \(-0.600576\pi\)
0.882097 + 0.471067i \(0.156131\pi\)
\(48\) −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 −0.997379 0.0723517i \(-0.976950\pi\)
0.961976 + 0.273135i \(0.0880607\pi\)
\(60\) −1782.44 + 9475.62i −0.0639200 + 0.339805i
\(61\) 29873.8 25067.1i 1.02794 0.862541i 0.0373325 0.999303i \(-0.488114\pi\)
0.990604 + 0.136762i \(0.0436695\pi\)
\(62\) −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 −0.800199 0.599734i \(-0.795273\pi\)
−0.227486 + 0.973781i \(0.573051\pi\)
\(68\) 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 −0.806710 0.590948i \(-0.798754\pi\)
0.915131 + 0.403157i \(0.132087\pi\)
\(72\) −41454.8 + 14026.4i −0.942419 + 0.318870i
\(73\) 19470.2 + 33723.5i 0.427626 + 0.740670i 0.996662 0.0816427i \(-0.0260166\pi\)
−0.569036 + 0.822313i \(0.692683\pi\)
\(74\) −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 0.616877 0.787059i \(-0.288397\pi\)
−0.0333566 + 0.999444i \(0.510620\pi\)
\(80\) −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 0.956763 0.290869i \(-0.0939445\pi\)
0.545956 + 0.837814i \(0.316167\pi\)
\(84\) −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 −0.960999 0.276553i \(-0.910808\pi\)
0.240997 0.970526i \(-0.422526\pi\)
\(90\) 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 0.890844 + 0.454310i \(0.150114\pi\)
−0.681736 + 0.731598i \(0.738775\pi\)
\(98\) 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 −0.696183 0.717865i \(-0.745120\pi\)
0.586068 + 0.810262i \(0.300675\pi\)
\(102\) 175.668 933.870i 0.00167183 0.00888763i
\(103\) −15056.6 + 85390.1i −0.139841 + 0.793075i 0.831525 + 0.555487i \(0.187468\pi\)
−0.971366 + 0.237588i \(0.923643\pi\)
\(104\) −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 0.930067 + 0.367389i \(0.119748\pi\)
−0.999632 + 0.0271310i \(0.991363\pi\)
\(114\) −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 0.990378 + 0.138389i \(0.0441924\pi\)
−0.375341 + 0.926887i \(0.622474\pi\)
\(128\) 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 0.271497 0.962439i \(-0.412481\pi\)
−0.900673 + 0.434498i \(0.856926\pi\)
\(132\) 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 −0.550036 0.835141i \(-0.685386\pi\)
−0.958170 + 0.286199i \(0.907608\pi\)
\(138\) 112148. + 42272.7i 0.501295 + 0.188957i
\(139\) −102805. 86263.2i −0.451310 0.378694i 0.388612 0.921402i \(-0.372955\pi\)
−0.839922 + 0.542707i \(0.817399\pi\)
\(140\) −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 0.692539 0.721380i \(-0.256492\pi\)
0.994210 + 0.107453i \(0.0342696\pi\)
\(150\) −117098. 1335.24i −0.424934 0.00484542i
\(151\) 8704.69 + 49366.8i 0.0310678 + 0.176194i 0.996393 0.0848547i \(-0.0270426\pi\)
−0.965325 + 0.261049i \(0.915932\pi\)
\(152\) 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 −0.819210 0.573493i \(-0.805588\pi\)
0.965952 0.258721i \(-0.0833010\pi\)
\(158\) 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 0.818242 + 0.574874i \(0.194949\pi\)
−0.965514 + 0.260350i \(0.916162\pi\)
\(168\) −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 −0.879022 0.476780i \(-0.841804\pi\)
0.662942 0.748670i \(-0.269307\pi\)
\(174\) 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 0.498488 + 0.866897i \(0.333889\pi\)
−0.999998 + 0.00174530i \(0.999444\pi\)
\(180\) −72162.8 131844.i −0.166009 0.303305i
\(181\) −155081. 268607.i −0.351853 0.609427i 0.634721 0.772741i \(-0.281115\pi\)
−0.986574 + 0.163314i \(0.947782\pi\)
\(182\) −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 0.0735352 0.997293i \(-0.476572\pi\)
−0.584716 + 0.811238i \(0.698794\pi\)
\(192\) −49679.9 301834.i −0.0972586 0.590902i
\(193\) 202595. + 169997.i 0.391502 + 0.328510i 0.817198 0.576357i \(-0.195526\pi\)
−0.425696 + 0.904866i \(0.639971\pi\)
\(194\) −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 0.919528 + 0.393025i \(0.128572\pi\)
−0.119394 + 0.992847i \(0.538095\pi\)
\(198\) 318595. + 124257.i 0.577533 + 0.225247i
\(199\) −112026. + 194035.i −0.200534 + 0.347334i −0.948700 0.316176i \(-0.897601\pi\)
0.748167 + 0.663511i \(0.230934\pi\)
\(200\) −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 0.914632 + 0.404288i \(0.132481\pi\)
−0.997747 + 0.0670841i \(0.978630\pi\)
\(212\) −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 −0.394391 0.918943i \(-0.629044\pi\)
0.836497 + 0.547972i \(0.184600\pi\)
\(224\) −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 −0.996280 0.0861758i \(-0.972535\pi\)
0.906723 0.421727i \(-0.138576\pi\)
\(228\) 298775. + 531396.i 0.380634 + 0.676988i
\(229\) 585239. 213009.i 0.737470 0.268417i 0.0541466 0.998533i \(-0.482756\pi\)
0.683323 + 0.730116i \(0.260534\pi\)
\(230\) 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 0.368514 + 0.929622i \(0.379867\pi\)
−0.989333 + 0.145669i \(0.953467\pi\)
\(234\) 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 0.110040 0.993927i \(-0.464902\pi\)
−0.959719 + 0.280962i \(0.909347\pi\)
\(240\) 6205.28 5087.42i 0.00695398 0.00570124i
\(241\) 870045. + 316670.i 0.964937 + 0.351208i 0.775966 0.630774i \(-0.217263\pi\)
0.188971 + 0.981983i \(0.439485\pi\)
\(242\) −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 0.796141 0.605111i \(-0.206871\pi\)
−0.922112 + 0.386923i \(0.873538\pi\)
\(252\) 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 −0.352971 0.935634i \(-0.614829\pi\)
0.331023 + 0.943623i \(0.392606\pi\)
\(258\) −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 −0.265364 0.964148i \(-0.585492\pi\)
0.903421 + 0.428755i \(0.141048\pi\)
\(264\) −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 −0.379748 0.925090i \(-0.623989\pi\)
0.845093 + 0.534619i \(0.179545\pi\)
\(278\) −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 0.908394 + 0.418115i \(0.137309\pi\)
−0.710607 + 0.703589i \(0.751580\pi\)
\(282\) −310861. + 524523.i −0.232779 + 0.392773i
\(283\) −2.34865e6 + 854837.i −1.74322 + 0.634479i −0.999424 0.0339303i \(-0.989198\pi\)
−0.743793 + 0.668410i \(0.766975\pi\)
\(284\) −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 0.881276 0.472602i \(-0.156685\pi\)
−0.312390 + 0.949954i \(0.601130\pi\)
\(294\) 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 −0.887112 0.461553i \(-0.847292\pi\)
0.843273 + 0.537485i \(0.180626\pi\)
\(308\) 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 0.0159865 0.999872i \(-0.494911\pi\)
0.654952 + 0.755671i \(0.272689\pi\)
\(312\) 704549. + 8033.81i 0.409755 + 0.00467235i
\(313\) −292316. 1.65780e6i −0.168652 0.956473i −0.945219 0.326438i \(-0.894152\pi\)
0.776567 0.630035i \(-0.216959\pi\)
\(314\) 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 −0.753624 0.657306i \(-0.771696\pi\)
0.516455 + 0.856314i \(0.327251\pi\)
\(318\) −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 −0.764497 0.644627i \(-0.777013\pi\)
0.502081 + 0.864821i \(0.332568\pi\)
\(332\) −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 −0.316640 0.948546i \(-0.602555\pi\)
0.367153 + 0.930160i \(0.380332\pi\)
\(338\) −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 −0.999989 0.00462265i \(-0.998529\pi\)
−0.178199 0.983995i \(-0.557027\pi\)
\(348\) −2.24616e6 846662.i −0.994244 0.374768i
\(349\) 2.06740e6 + 752474.i 0.908577 + 0.330695i 0.753685 0.657236i \(-0.228275\pi\)
0.154893 + 0.987931i \(0.450497\pi\)
\(350\) −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 0.466416 0.884565i \(-0.345545\pi\)
−0.211292 + 0.977423i \(0.567767\pi\)
\(354\) −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 0.948952 0.315421i \(-0.102146\pi\)
−0.747639 + 0.664106i \(0.768813\pi\)
\(360\) −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 0.830720 + 0.556690i \(0.187929\pi\)
−0.590222 + 0.807241i \(0.700960\pi\)
\(368\) 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 0.894063 + 0.447942i \(0.147843\pi\)
−0.993349 + 0.115140i \(0.963268\pi\)
\(374\) −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 −0.663756 0.747949i \(-0.731039\pi\)
0.879541 0.475824i \(-0.157850\pi\)
\(384\) −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 −0.966949 0.254968i \(-0.917935\pi\)
0.821431 0.570308i \(-0.193176\pi\)
\(390\) −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 0.985875 + 0.167485i \(0.0535645\pi\)
−0.347891 + 0.937535i \(0.613102\pi\)
\(398\) −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 0.998127 + 0.0611777i \(0.0194856\pi\)
0.233571 + 0.972340i \(0.424959\pi\)
\(402\) 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 0.768198 0.640212i \(-0.221154\pi\)
−0.497090 + 0.867699i \(0.665598\pi\)
\(410\) 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 0.458204 0.888847i \(-0.348493\pi\)
0.922345 + 0.386368i \(0.126271\pi\)
\(420\) −961000. 1.70922e6i −0.265828 0.472796i
\(421\) −544376. 3.08731e6i −0.149690 0.848936i −0.963481 0.267778i \(-0.913711\pi\)
0.813790 0.581158i \(-0.197400\pi\)
\(422\) −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 −0.485770 0.874087i \(-0.661461\pi\)
0.776455 + 0.630173i \(0.217016\pi\)
\(440\) 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 0.955190 0.295993i \(-0.0956506\pi\)
−0.998821 + 0.0485516i \(0.984539\pi\)
\(444\) −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 −0.985882 0.167442i \(-0.946449\pi\)
0.637950 + 0.770078i \(0.279783\pi\)
\(450\) 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 −0.109046 0.994037i \(-0.534780\pi\)
−0.722489 + 0.691383i \(0.757002\pi\)
\(458\) 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 0.466687 0.884422i \(-0.345447\pi\)
−0.210992 + 0.977488i \(0.567670\pi\)
\(462\) 4.17467e6 + 1.57359e6i 0.909949 + 0.342994i
\(463\) −371878. 312042.i −0.0806209 0.0676490i 0.601587 0.798808i \(-0.294535\pi\)
−0.682207 + 0.731159i \(0.738980\pi\)
\(464\) 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 0.849385 0.527774i \(-0.176973\pi\)
−0.881758 + 0.471701i \(0.843640\pi\)
\(468\) −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 −0.130986 0.991384i \(-0.541814\pi\)
0.953577 + 0.301149i \(0.0973700\pi\)
\(480\) 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 −0.689746 0.724051i \(-0.742278\pi\)
0.895789 0.444479i \(-0.146611\pi\)
\(492\) −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 −0.462242 0.886754i \(-0.652955\pi\)
0.215897 + 0.976416i \(0.430732\pi\)
\(500\) 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 −0.999941 0.0109042i \(-0.996529\pi\)
0.509414 + 0.860522i \(0.329862\pi\)
\(504\) 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 0.955372 + 0.295404i \(0.0954544\pi\)
0.456815 + 0.889562i \(0.348990\pi\)
\(510\) 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 0.793268 0.608872i \(-0.208378\pi\)
−0.923933 + 0.382554i \(0.875044\pi\)
\(522\) −5.05437e6 + 4.04836e6i −0.811878 + 0.650283i
\(523\) 3.20385e6 5.54923e6i 0.512175 0.887113i −0.487726 0.872997i \(-0.662173\pi\)
0.999900 0.0141158i \(-0.00449335\pi\)
\(524\) 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 −0.899313 0.437305i \(-0.855933\pi\)
0.274497 + 0.961588i \(0.411489\pi\)
\(548\) 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 −0.941973 0.335689i \(-0.891031\pi\)
0.761701 + 0.647928i \(0.224364\pi\)
\(558\) −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 0.554939 0.831891i \(-0.312742\pi\)
−0.722889 + 0.690964i \(0.757186\pi\)
\(564\) 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 0.769788 0.638299i \(-0.220362\pi\)
0.179401 + 0.983776i \(0.442584\pi\)
\(570\) 2.52206e6 2.06772e6i 0.325139 0.266566i
\(571\) −543778. 456284.i −0.0697962 0.0585659i 0.607222 0.794532i \(-0.292284\pi\)
−0.677018 + 0.735966i \(0.736728\pi\)
\(572\) 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 −0.912481 0.409120i \(-0.865836\pi\)
0.810549 + 0.585671i \(0.199169\pi\)
\(578\) 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 −0.222638 + 0.974901i \(0.571467\pi\)
−0.998751 + 0.0499662i \(0.984089\pi\)
\(588\) 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 0.462035 + 0.886862i \(0.347120\pi\)
−0.737495 + 0.675352i \(0.763992\pi\)
\(600\) 4.62069e6 + 3.96788e6i 0.523997 + 0.449966i
\(601\) 179938. 150986.i 0.0203206 0.0170510i −0.632571 0.774503i \(-0.718000\pi\)
0.652891 + 0.757452i \(0.273556\pi\)
\(602\) −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 0.287260 0.957853i \(-0.407256\pi\)
0.835750 + 0.549111i \(0.185034\pi\)
\(608\) −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 −0.998472 0.0552516i \(-0.982404\pi\)
0.451387 0.892328i \(-0.350929\pi\)
\(614\) −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 0.679597 0.733586i \(-0.262155\pi\)
−0.604430 + 0.796658i \(0.706599\pi\)
\(618\) −760140. 4.61829e6i −0.0800612 0.486419i
\(619\) 1.32790e7 + 4.83316e6i 1.39296 + 0.506996i 0.926081 0.377325i \(-0.123156\pi\)
0.466879 + 0.884321i \(0.345378\pi\)
\(620\) −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 0.390511 + 0.920598i \(0.372298\pi\)
−0.992517 + 0.122107i \(0.961035\pi\)
\(632\) −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 −0.603771 0.797158i \(-0.706336\pi\)
0.680204 + 0.733023i \(0.261891\pi\)
\(642\) 3.98175e6 1.39803e6i 0.381273 0.133869i
\(643\) 2.64523e6 1.50018e7i 0.252311 1.43093i −0.550572 0.834788i \(-0.685590\pi\)
0.802882 0.596137i \(-0.203299\pi\)
\(644\) −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 −0.476446 0.879204i \(-0.658075\pi\)
0.748418 0.663227i \(-0.230814\pi\)
\(654\) 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 0.943278 + 0.332004i \(0.107725\pi\)
−0.772839 + 0.634602i \(0.781164\pi\)
\(660\) −3.91818e6 44678.1i −0.350126 0.00399240i
\(661\) 4.51566e6 1.64357e6i 0.401992 0.146313i −0.133109 0.991101i \(-0.542496\pi\)
0.535101 + 0.844788i \(0.320274\pi\)
\(662\) −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 0.647261 0.762269i \(-0.275914\pi\)
0.00585379 + 0.999983i \(0.498137\pi\)
\(674\) 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 0.879768 0.475404i \(-0.157698\pi\)
0.368358 + 0.929684i \(0.379920\pi\)
\(678\) −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 0.995821 + 0.0913260i \(0.0291105\pi\)
−0.418820 + 0.908069i \(0.637556\pi\)
\(684\) −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 −0.949746 0.313022i \(-0.898659\pi\)
0.785409 0.618977i \(-0.212453\pi\)
\(692\) −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 −0.993344 0.115184i \(-0.963254\pi\)
−0.0590579 + 0.998255i \(0.518810\pi\)
\(710\) 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 −0.665629 0.746283i \(-0.731837\pi\)
0.979114 + 0.203310i \(0.0651700\pi\)
\(720\) −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 0.676099 0.736811i \(-0.263669\pi\)
0.0443084 + 0.999018i \(0.485892\pi\)
\(728\) 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 0.702612 0.711573i \(-0.252017\pi\)
−0.578756 + 0.815501i \(0.696462\pi\)
\(734\) −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 −0.936239 0.351363i \(-0.885718\pi\)
0.772409 + 0.635126i \(0.219052\pi\)
\(740\) 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 −0.559394 0.828902i \(-0.688966\pi\)
0.104287 + 0.994547i \(0.466744\pi\)
\(744\) −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 −0.902795 0.430070i \(-0.858489\pi\)
0.995443 0.0953598i \(-0.0304002\pi\)
\(752\) 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 \(0.614537\pi\)
\(758\) −2.73693e6