Properties

Label 18.6.c.a.7.1
Level $18$
Weight $6$
Character 18.7
Analytic conductor $2.887$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.88690875663\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-2}, \sqrt{-3})\)
Defining polynomial: \( x^{4} - 2x^{2} + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{3} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 7.1
Root \(-1.22474 + 0.707107i\) of defining polynomial
Character \(\chi\) \(=\) 18.7
Dual form 18.6.c.a.13.1

$q$-expansion

\(f(q)\) \(=\) \(q+(2.00000 - 3.46410i) q^{2} +(-14.6969 - 5.19615i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(-28.1969 - 48.8385i) q^{5} +(-47.3939 + 40.5194i) q^{6} +(11.1515 - 19.3150i) q^{7} -64.0000 q^{8} +(189.000 + 152.735i) q^{9} +O(q^{10})\) \(q+(2.00000 - 3.46410i) q^{2} +(-14.6969 - 5.19615i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(-28.1969 - 48.8385i) q^{5} +(-47.3939 + 40.5194i) q^{6} +(11.1515 - 19.3150i) q^{7} -64.0000 q^{8} +(189.000 + 152.735i) q^{9} -225.576 q^{10} +(296.484 - 513.526i) q^{11} +(45.5755 + 245.216i) q^{12} +(129.531 + 224.354i) q^{13} +(-44.6061 - 77.2601i) q^{14} +(160.636 + 864.292i) q^{15} +(-128.000 + 221.703i) q^{16} +1627.51 q^{17} +(907.090 - 349.245i) q^{18} -2642.42 q^{19} +(-451.151 + 781.416i) q^{20} +(-264.257 + 225.927i) q^{21} +(-1185.94 - 2054.10i) q^{22} +(-1568.21 - 2716.22i) q^{23} +(940.604 + 332.554i) q^{24} +(-27.6347 + 47.8647i) q^{25} +1036.24 q^{26} +(-1984.09 - 3226.81i) q^{27} -356.849 q^{28} +(-62.2898 + 107.889i) q^{29} +(3315.27 + 1172.12i) q^{30} +(4376.08 + 7579.60i) q^{31} +(512.000 + 886.810i) q^{32} +(-7025.77 + 6006.68i) q^{33} +(3255.02 - 5637.87i) q^{34} -1257.76 q^{35} +(604.359 - 3840.74i) q^{36} +9741.67 q^{37} +(-5284.84 + 9153.61i) q^{38} +(-737.928 - 3970.37i) q^{39} +(1804.60 + 3125.67i) q^{40} +(3735.62 + 6470.29i) q^{41} +(254.118 + 1367.27i) q^{42} +(6252.46 - 10829.6i) q^{43} -9487.49 q^{44} +(2130.13 - 13537.1i) q^{45} -12545.7 q^{46} +(4408.73 - 7636.15i) q^{47} +(3033.21 - 2593.24i) q^{48} +(8154.79 + 14124.5i) q^{49} +(110.539 + 191.459i) q^{50} +(-23919.4 - 8456.80i) q^{51} +(2072.49 - 3589.66i) q^{52} -10782.1 q^{53} +(-15146.2 + 419.457i) q^{54} -33439.8 q^{55} +(-713.698 + 1236.16i) q^{56} +(38835.5 + 13730.4i) q^{57} +(249.159 + 431.557i) q^{58} +(7776.87 + 13469.9i) q^{59} +(10690.9 - 9140.18i) q^{60} +(5965.22 - 10332.1i) q^{61} +35008.7 q^{62} +(5057.72 - 1947.31i) q^{63} +4096.00 q^{64} +(7304.73 - 12652.2i) q^{65} +(6756.21 + 36351.3i) q^{66} +(-3089.79 - 5351.68i) q^{67} +(-13020.1 - 22551.5i) q^{68} +(8934.01 + 48068.8i) q^{69} +(-2515.51 + 4356.99i) q^{70} -10498.9 q^{71} +(-12096.0 - 9775.04i) q^{72} -38380.3 q^{73} +(19483.3 - 33746.1i) q^{74} +(654.857 - 559.870i) q^{75} +(21139.4 + 36614.5i) q^{76} +(-6612.50 - 11453.2i) q^{77} +(-15229.6 - 5384.49i) q^{78} +(-8926.87 + 15461.8i) q^{79} +14436.8 q^{80} +(12393.0 + 57733.9i) q^{81} +29885.0 q^{82} +(21610.3 - 37430.1i) q^{83} +(5244.59 + 1854.24i) q^{84} +(-45890.9 - 79485.3i) q^{85} +(-25009.8 - 43318.3i) q^{86} +(1476.08 - 1261.97i) q^{87} +(-18975.0 + 32865.6i) q^{88} -94095.6 q^{89} +(-42633.8 - 34453.3i) q^{90} +5777.86 q^{91} +(-25091.4 + 43459.6i) q^{92} +(-24930.3 - 134136. i) q^{93} +(-17634.9 - 30544.6i) q^{94} +(74508.2 + 129052. i) q^{95} +(-2916.83 - 15693.8i) q^{96} +(40743.3 - 70569.5i) q^{97} +65238.3 q^{98} +(134469. - 51772.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 8 q^{2} - 32 q^{4} - 54 q^{5} - 72 q^{6} + 74 q^{7} - 256 q^{8} + 756 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q + 8 q^{2} - 32 q^{4} - 54 q^{5} - 72 q^{6} + 74 q^{7} - 256 q^{8} + 756 q^{9} - 432 q^{10} - 78 q^{11} - 288 q^{12} + 1106 q^{13} - 296 q^{14} + 378 q^{15} - 512 q^{16} + 984 q^{17} + 1512 q^{18} - 3280 q^{19} - 864 q^{20} - 234 q^{21} + 312 q^{22} - 5538 q^{23} + 3064 q^{25} + 8848 q^{26} - 2368 q^{28} - 3894 q^{29} + 6912 q^{30} + 4718 q^{31} + 2048 q^{32} - 17874 q^{33} + 1968 q^{34} - 2268 q^{35} - 6048 q^{36} - 9592 q^{37} - 6560 q^{38} + 18594 q^{39} + 3456 q^{40} + 15354 q^{41} - 4392 q^{42} + 32858 q^{43} + 2496 q^{44} + 5346 q^{45} - 44304 q^{46} + 24954 q^{47} + 4608 q^{48} + 30444 q^{49} - 12256 q^{50} - 81216 q^{51} + 17696 q^{52} - 32664 q^{53} - 44712 q^{54} - 70092 q^{55} - 4736 q^{56} + 107136 q^{57} + 15576 q^{58} + 21966 q^{59} + 21600 q^{60} + 3050 q^{61} + 37744 q^{62} + 6210 q^{63} + 16384 q^{64} + 12582 q^{65} + 77112 q^{66} + 36758 q^{67} - 7872 q^{68} - 39042 q^{69} - 4536 q^{70} - 147696 q^{71} - 48384 q^{72} - 102376 q^{73} - 19184 q^{74} + 19080 q^{75} + 26240 q^{76} + 21462 q^{77} + 69120 q^{78} - 14926 q^{79} + 27648 q^{80} + 49572 q^{81} + 122832 q^{82} + 90762 q^{83} - 13824 q^{84} - 94500 q^{85} - 131432 q^{86} - 18522 q^{87} + 4992 q^{88} - 18600 q^{89} - 81648 q^{90} + 99124 q^{91} - 88608 q^{92} - 145458 q^{93} - 99816 q^{94} + 151416 q^{95} + 18432 q^{96} - 30262 q^{97} + 243552 q^{98} + 319626 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.00000 3.46410i 0.353553 0.612372i
\(3\) −14.6969 5.19615i −0.942809 0.333333i
\(4\) −8.00000 13.8564i −0.250000 0.433013i
\(5\) −28.1969 48.8385i −0.504402 0.873650i −0.999987 0.00509067i \(-0.998380\pi\)
0.495585 0.868560i \(-0.334954\pi\)
\(6\) −47.3939 + 40.5194i −0.537457 + 0.459499i
\(7\) 11.1515 19.3150i 0.0860180 0.148988i −0.819807 0.572641i \(-0.805919\pi\)
0.905825 + 0.423653i \(0.139252\pi\)
\(8\) −64.0000 −0.353553
\(9\) 189.000 + 152.735i 0.777778 + 0.628539i
\(10\) −225.576 −0.713332
\(11\) 296.484 513.526i 0.738788 1.27962i −0.214253 0.976778i \(-0.568732\pi\)
0.953041 0.302840i \(-0.0979348\pi\)
\(12\) 45.5755 + 245.216i 0.0913647 + 0.491582i
\(13\) 129.531 + 224.354i 0.212576 + 0.368192i 0.952520 0.304476i \(-0.0984814\pi\)
−0.739944 + 0.672668i \(0.765148\pi\)
\(14\) −44.6061 77.2601i −0.0608239 0.105350i
\(15\) 160.636 + 864.292i 0.184338 + 0.991819i
\(16\) −128.000 + 221.703i −0.125000 + 0.216506i
\(17\) 1627.51 1.36585 0.682923 0.730490i \(-0.260708\pi\)
0.682923 + 0.730490i \(0.260708\pi\)
\(18\) 907.090 349.245i 0.659886 0.254067i
\(19\) −2642.42 −1.67926 −0.839630 0.543159i \(-0.817228\pi\)
−0.839630 + 0.543159i \(0.817228\pi\)
\(20\) −451.151 + 781.416i −0.252201 + 0.436825i
\(21\) −264.257 + 225.927i −0.130761 + 0.111794i
\(22\) −1185.94 2054.10i −0.522402 0.904827i
\(23\) −1568.21 2716.22i −0.618138 1.07065i −0.989825 0.142288i \(-0.954554\pi\)
0.371688 0.928358i \(-0.378779\pi\)
\(24\) 940.604 + 332.554i 0.333333 + 0.117851i
\(25\) −27.6347 + 47.8647i −0.00884310 + 0.0153167i
\(26\) 1036.24 0.300628
\(27\) −1984.09 3226.81i −0.523783 0.851852i
\(28\) −356.849 −0.0860180
\(29\) −62.2898 + 107.889i −0.0137538 + 0.0238222i −0.872820 0.488042i \(-0.837711\pi\)
0.859067 + 0.511864i \(0.171045\pi\)
\(30\) 3315.27 + 1172.12i 0.672536 + 0.237777i
\(31\) 4376.08 + 7579.60i 0.817865 + 1.41658i 0.907253 + 0.420586i \(0.138176\pi\)
−0.0893879 + 0.995997i \(0.528491\pi\)
\(32\) 512.000 + 886.810i 0.0883883 + 0.153093i
\(33\) −7025.77 + 6006.68i −1.12308 + 0.960173i
\(34\) 3255.02 5637.87i 0.482900 0.836407i
\(35\) −1257.76 −0.173551
\(36\) 604.359 3840.74i 0.0777211 0.493922i
\(37\) 9741.67 1.16985 0.584924 0.811088i \(-0.301124\pi\)
0.584924 + 0.811088i \(0.301124\pi\)
\(38\) −5284.84 + 9153.61i −0.593708 + 1.02833i
\(39\) −737.928 3970.37i −0.0776877 0.417994i
\(40\) 1804.60 + 3125.67i 0.178333 + 0.308882i
\(41\) 3735.62 + 6470.29i 0.347059 + 0.601124i 0.985726 0.168360i \(-0.0538471\pi\)
−0.638667 + 0.769484i \(0.720514\pi\)
\(42\) 254.118 + 1367.27i 0.0222286 + 0.119600i
\(43\) 6252.46 10829.6i 0.515679 0.893183i −0.484155 0.874982i \(-0.660873\pi\)
0.999834 0.0182005i \(-0.00579373\pi\)
\(44\) −9487.49 −0.738788
\(45\) 2130.13 13537.1i 0.156811 0.996542i
\(46\) −12545.7 −0.874178
\(47\) 4408.73 7636.15i 0.291118 0.504231i −0.682956 0.730459i \(-0.739306\pi\)
0.974074 + 0.226228i \(0.0726395\pi\)
\(48\) 3033.21 2593.24i 0.190020 0.162457i
\(49\) 8154.79 + 14124.5i 0.485202 + 0.840394i
\(50\) 110.539 + 191.459i 0.00625301 + 0.0108305i
\(51\) −23919.4 8456.80i −1.28773 0.455282i
\(52\) 2072.49 3589.66i 0.106288 0.184096i
\(53\) −10782.1 −0.527244 −0.263622 0.964626i \(-0.584917\pi\)
−0.263622 + 0.964626i \(0.584917\pi\)
\(54\) −15146.2 + 419.457i −0.706836 + 0.0195750i
\(55\) −33439.8 −1.49058
\(56\) −713.698 + 1236.16i −0.0304120 + 0.0526751i
\(57\) 38835.5 + 13730.4i 1.58322 + 0.559753i
\(58\) 249.159 + 431.557i 0.00972539 + 0.0168449i
\(59\) 7776.87 + 13469.9i 0.290854 + 0.503774i 0.974012 0.226497i \(-0.0727273\pi\)
−0.683158 + 0.730271i \(0.739394\pi\)
\(60\) 10690.9 9140.18i 0.383386 0.327776i
\(61\) 5965.22 10332.1i 0.205259 0.355519i −0.744956 0.667113i \(-0.767530\pi\)
0.950215 + 0.311595i \(0.100863\pi\)
\(62\) 35008.7 1.15664
\(63\) 5057.72 1947.31i 0.160547 0.0618135i
\(64\) 4096.00 0.125000
\(65\) 7304.73 12652.2i 0.214448 0.371434i
\(66\) 6756.21 + 36351.3i 0.190916 + 1.02721i
\(67\) −3089.79 5351.68i −0.0840896 0.145647i 0.820913 0.571053i \(-0.193465\pi\)
−0.905003 + 0.425405i \(0.860132\pi\)
\(68\) −13020.1 22551.5i −0.341462 0.591429i
\(69\) 8934.01 + 48068.8i 0.225904 + 1.21546i
\(70\) −2515.51 + 4356.99i −0.0613594 + 0.106278i
\(71\) −10498.9 −0.247171 −0.123586 0.992334i \(-0.539439\pi\)
−0.123586 + 0.992334i \(0.539439\pi\)
\(72\) −12096.0 9775.04i −0.274986 0.222222i
\(73\) −38380.3 −0.842950 −0.421475 0.906840i \(-0.638487\pi\)
−0.421475 + 0.906840i \(0.638487\pi\)
\(74\) 19483.3 33746.1i 0.413603 0.716382i
\(75\) 654.857 559.870i 0.0134429 0.0114930i
\(76\) 21139.4 + 36614.5i 0.419815 + 0.727141i
\(77\) −6612.50 11453.2i −0.127098 0.220140i
\(78\) −15229.6 5384.49i −0.283435 0.100209i
\(79\) −8926.87 + 15461.8i −0.160928 + 0.278735i −0.935202 0.354115i \(-0.884782\pi\)
0.774274 + 0.632851i \(0.218115\pi\)
\(80\) 14436.8 0.252201
\(81\) 12393.0 + 57733.9i 0.209877 + 0.977728i
\(82\) 29885.0 0.490815
\(83\) 21610.3 37430.1i 0.344322 0.596384i −0.640908 0.767618i \(-0.721442\pi\)
0.985230 + 0.171234i \(0.0547754\pi\)
\(84\) 5244.59 + 1854.24i 0.0810986 + 0.0286727i
\(85\) −45890.9 79485.3i −0.688936 1.19327i
\(86\) −25009.8 43318.3i −0.364640 0.631576i
\(87\) 1476.08 1261.97i 0.0209079 0.0178752i
\(88\) −18975.0 + 32865.6i −0.261201 + 0.452413i
\(89\) −94095.6 −1.25920 −0.629599 0.776920i \(-0.716781\pi\)
−0.629599 + 0.776920i \(0.716781\pi\)
\(90\) −42633.8 34453.3i −0.554814 0.448357i
\(91\) 5777.86 0.0731414
\(92\) −25091.4 + 43459.6i −0.309069 + 0.535323i
\(93\) −24930.3 134136.i −0.298896 1.60819i
\(94\) −17634.9 30544.6i −0.205851 0.356545i
\(95\) 74508.2 + 129052.i 0.847022 + 1.46709i
\(96\) −2916.83 15693.8i −0.0323023 0.173800i
\(97\) 40743.3 70569.5i 0.439670 0.761532i −0.557993 0.829845i \(-0.688429\pi\)
0.997664 + 0.0683138i \(0.0217619\pi\)
\(98\) 65238.3 0.686179
\(99\) 134469. 51772.8i 1.37890 0.530901i
\(100\) 884.310 0.00884310
\(101\) −66434.0 + 115067.i −0.648017 + 1.12240i 0.335578 + 0.942012i \(0.391068\pi\)
−0.983596 + 0.180387i \(0.942265\pi\)
\(102\) −77134.1 + 65945.8i −0.734085 + 0.627605i
\(103\) 62055.5 + 107483.i 0.576352 + 0.998270i 0.995893 + 0.0905343i \(0.0288575\pi\)
−0.419542 + 0.907736i \(0.637809\pi\)
\(104\) −8289.96 14358.6i −0.0751569 0.130176i
\(105\) 18485.2 + 6535.49i 0.163625 + 0.0578502i
\(106\) −21564.1 + 37350.1i −0.186409 + 0.322870i
\(107\) 102868. 0.868605 0.434303 0.900767i \(-0.356995\pi\)
0.434303 + 0.900767i \(0.356995\pi\)
\(108\) −28839.3 + 53306.8i −0.237917 + 0.439768i
\(109\) 229354. 1.84901 0.924506 0.381167i \(-0.124478\pi\)
0.924506 + 0.381167i \(0.124478\pi\)
\(110\) −66879.6 + 115839.i −0.527001 + 0.912793i
\(111\) −143173. 50619.2i −1.10294 0.389949i
\(112\) 2854.79 + 4944.64i 0.0215045 + 0.0372469i
\(113\) −37466.9 64894.5i −0.276027 0.478092i 0.694367 0.719621i \(-0.255685\pi\)
−0.970394 + 0.241529i \(0.922351\pi\)
\(114\) 125235. 107069.i 0.902531 0.771618i
\(115\) −88437.5 + 153178.i −0.623580 + 1.08007i
\(116\) 1993.27 0.0137538
\(117\) −9785.38 + 62186.7i −0.0660865 + 0.419984i
\(118\) 62215.0 0.411330
\(119\) 18149.3 31435.4i 0.117487 0.203494i
\(120\) −10280.7 55314.7i −0.0651734 0.350661i
\(121\) −95280.2 165030.i −0.591615 1.02471i
\(122\) −23860.9 41328.2i −0.145140 0.251390i
\(123\) −21281.6 114504.i −0.126836 0.682431i
\(124\) 70017.3 121274.i 0.408932 0.708292i
\(125\) −173114. −0.990962
\(126\) 3369.76 21415.1i 0.0189092 0.120169i
\(127\) 34578.3 0.190237 0.0951184 0.995466i \(-0.469677\pi\)
0.0951184 + 0.995466i \(0.469677\pi\)
\(128\) 8192.00 14189.0i 0.0441942 0.0765466i
\(129\) −148164. + 126673.i −0.783915 + 0.670208i
\(130\) −29218.9 50608.7i −0.151637 0.262643i
\(131\) −39811.8 68956.1i −0.202691 0.351071i 0.746704 0.665157i \(-0.231635\pi\)
−0.949395 + 0.314086i \(0.898302\pi\)
\(132\) 139437. + 49298.5i 0.696536 + 0.246263i
\(133\) −29467.0 + 51038.4i −0.144447 + 0.250189i
\(134\) −24718.3 −0.118921
\(135\) −101648. + 187886.i −0.480023 + 0.887279i
\(136\) −104161. −0.482900
\(137\) 135520. 234728.i 0.616883 1.06847i −0.373168 0.927764i \(-0.621728\pi\)
0.990051 0.140709i \(-0.0449383\pi\)
\(138\) 184383. + 65189.3i 0.824183 + 0.291393i
\(139\) −16584.4 28725.0i −0.0728053 0.126102i 0.827324 0.561724i \(-0.189862\pi\)
−0.900130 + 0.435622i \(0.856528\pi\)
\(140\) 10062.0 + 17428.0i 0.0433877 + 0.0751496i
\(141\) −104473. + 89319.5i −0.442546 + 0.378354i
\(142\) −20997.8 + 36369.3i −0.0873883 + 0.151361i
\(143\) 153615. 0.628194
\(144\) −58053.7 + 22351.7i −0.233305 + 0.0898264i
\(145\) 7025.53 0.0277497
\(146\) −76760.7 + 132953.i −0.298028 + 0.516199i
\(147\) −46457.3 249960.i −0.177321 0.954065i
\(148\) −77933.4 134985.i −0.292462 0.506559i
\(149\) 18317.4 + 31726.7i 0.0675925 + 0.117074i 0.897841 0.440320i \(-0.145135\pi\)
−0.830249 + 0.557393i \(0.811802\pi\)
\(150\) −629.732 3388.23i −0.00228522 0.0122955i
\(151\) −247485. + 428657.i −0.883297 + 1.52992i −0.0356448 + 0.999365i \(0.511349\pi\)
−0.847653 + 0.530552i \(0.821985\pi\)
\(152\) 169115. 0.593708
\(153\) 307600. + 248578.i 1.06233 + 0.858488i
\(154\) −52900.0 −0.179744
\(155\) 246784. 427443.i 0.825065 1.42906i
\(156\) −49111.7 + 41988.0i −0.161575 + 0.138138i
\(157\) 28915.9 + 50083.7i 0.0936239 + 0.162161i 0.909033 0.416723i \(-0.136822\pi\)
−0.815410 + 0.578885i \(0.803488\pi\)
\(158\) 35707.5 + 61847.2i 0.113793 + 0.197096i
\(159\) 158463. + 56025.2i 0.497091 + 0.175748i
\(160\) 28873.7 50010.7i 0.0891665 0.154441i
\(161\) −69951.8 −0.212684
\(162\) 224782. + 72537.1i 0.672936 + 0.217156i
\(163\) −135023. −0.398050 −0.199025 0.979994i \(-0.563777\pi\)
−0.199025 + 0.979994i \(0.563777\pi\)
\(164\) 59769.9 103525.i 0.173529 0.300562i
\(165\) 491462. + 173758.i 1.40534 + 0.496862i
\(166\) −86441.1 149720.i −0.243473 0.421707i
\(167\) 203014. + 351631.i 0.563294 + 0.975655i 0.997206 + 0.0746992i \(0.0237997\pi\)
−0.433912 + 0.900955i \(0.642867\pi\)
\(168\) 16912.5 14459.3i 0.0462310 0.0395252i
\(169\) 152090. 263428.i 0.409623 0.709488i
\(170\) −367127. −0.974303
\(171\) −499417. 403590.i −1.30609 1.05548i
\(172\) −200079. −0.515679
\(173\) −114121. + 197663.i −0.289901 + 0.502123i −0.973786 0.227467i \(-0.926956\pi\)
0.683885 + 0.729590i \(0.260289\pi\)
\(174\) −1419.44 7637.23i −0.00355423 0.0191233i
\(175\) 616.338 + 1067.53i 0.00152133 + 0.00263502i
\(176\) 75899.9 + 131463.i 0.184697 + 0.319905i
\(177\) −44304.4 238377.i −0.106295 0.571914i
\(178\) −188191. + 325957.i −0.445194 + 0.771098i
\(179\) −19370.0 −0.0451853 −0.0225927 0.999745i \(-0.507192\pi\)
−0.0225927 + 0.999745i \(0.507192\pi\)
\(180\) −204617. + 78781.1i −0.470718 + 0.181235i
\(181\) −137790. −0.312623 −0.156311 0.987708i \(-0.549960\pi\)
−0.156311 + 0.987708i \(0.549960\pi\)
\(182\) 11555.7 20015.1i 0.0258594 0.0447898i
\(183\) −141357. + 120853.i −0.312026 + 0.266767i
\(184\) 100366. + 173838.i 0.218545 + 0.378530i
\(185\) −274685. 475769.i −0.590073 1.02204i
\(186\) −514520. 181910.i −1.09049 0.385545i
\(187\) 482532. 835769.i 1.00907 1.74776i
\(188\) −141079. −0.291118
\(189\) −84451.5 + 2338.79i −0.171970 + 0.00476252i
\(190\) 596065. 1.19787
\(191\) −168262. + 291438.i −0.333735 + 0.578046i −0.983241 0.182311i \(-0.941642\pi\)
0.649506 + 0.760356i \(0.274976\pi\)
\(192\) −60198.7 21283.4i −0.117851 0.0416667i
\(193\) 370436. + 641615.i 0.715847 + 1.23988i 0.962632 + 0.270813i \(0.0872926\pi\)
−0.246785 + 0.969070i \(0.579374\pi\)
\(194\) −162973. 282278.i −0.310894 0.538484i
\(195\) −173100. + 147992.i −0.325994 + 0.278709i
\(196\) 130477. 225992.i 0.242601 0.420197i
\(197\) 219128. 0.402284 0.201142 0.979562i \(-0.435535\pi\)
0.201142 + 0.979562i \(0.435535\pi\)
\(198\) 89591.5 569360.i 0.162407 1.03210i
\(199\) −215378. −0.385540 −0.192770 0.981244i \(-0.561747\pi\)
−0.192770 + 0.981244i \(0.561747\pi\)
\(200\) 1768.62 3063.34i 0.00312651 0.00541527i
\(201\) 17602.4 + 94708.3i 0.0307313 + 0.165348i
\(202\) 265736. + 460268.i 0.458218 + 0.793656i
\(203\) 1389.25 + 2406.26i 0.00236615 + 0.00409828i
\(204\) 74174.7 + 399092.i 0.124790 + 0.671425i
\(205\) 210666. 364885.i 0.350115 0.606416i
\(206\) 496444. 0.815084
\(207\) 118470. 752887.i 0.192169 1.22125i
\(208\) −66319.7 −0.106288
\(209\) −783436. + 1.35695e6i −1.24062 + 2.14881i
\(210\) 59609.9 50963.5i 0.0932761 0.0797464i
\(211\) −2285.57 3958.73i −0.00353419 0.00612139i 0.864253 0.503058i \(-0.167792\pi\)
−0.867787 + 0.496936i \(0.834458\pi\)
\(212\) 86256.4 + 149401.i 0.131811 + 0.228303i
\(213\) 154302. + 54553.9i 0.233035 + 0.0823904i
\(214\) 205737. 356347.i 0.307098 0.531910i
\(215\) −705201. −1.04044
\(216\) 126982. + 206516.i 0.185185 + 0.301175i
\(217\) 195200. 0.281404
\(218\) 458708. 794505.i 0.653725 1.13228i
\(219\) 564073. + 199430.i 0.794741 + 0.280983i
\(220\) 267518. + 463355.i 0.372646 + 0.645442i
\(221\) 210813. + 365138.i 0.290346 + 0.502894i
\(222\) −461696. + 394727.i −0.628743 + 0.537544i
\(223\) −472764. + 818852.i −0.636623 + 1.10266i 0.349546 + 0.936919i \(0.386336\pi\)
−0.986169 + 0.165744i \(0.946997\pi\)
\(224\) 22838.3 0.0304120
\(225\) −12533.6 + 4825.64i −0.0165051 + 0.00635475i
\(226\) −299735. −0.390361
\(227\) −91944.9 + 159253.i −0.118430 + 0.205127i −0.919146 0.393917i \(-0.871120\pi\)
0.800715 + 0.599045i \(0.204453\pi\)
\(228\) −120430. 647964.i −0.153425 0.825493i
\(229\) −279217. 483618.i −0.351846 0.609416i 0.634727 0.772737i \(-0.281113\pi\)
−0.986573 + 0.163321i \(0.947779\pi\)
\(230\) 353750. + 612713.i 0.440938 + 0.763726i
\(231\) 37671.0 + 202686.i 0.0464491 + 0.249916i
\(232\) 3986.55 6904.90i 0.00486270 0.00842244i
\(233\) 1.04850e6 1.26526 0.632630 0.774454i \(-0.281975\pi\)
0.632630 + 0.774454i \(0.281975\pi\)
\(234\) 195850. + 158271.i 0.233822 + 0.188956i
\(235\) −497251. −0.587362
\(236\) 124430. 215519.i 0.145427 0.251887i
\(237\) 211539. 180856.i 0.244636 0.209152i
\(238\) −72597.0 125742.i −0.0830761 0.143892i
\(239\) −356902. 618172.i −0.404160 0.700026i 0.590063 0.807357i \(-0.299103\pi\)
−0.994223 + 0.107331i \(0.965770\pi\)
\(240\) −212177. 75016.0i −0.237777 0.0840670i
\(241\) 385469. 667651.i 0.427510 0.740469i −0.569141 0.822240i \(-0.692724\pi\)
0.996651 + 0.0817707i \(0.0260575\pi\)
\(242\) −762242. −0.836670
\(243\) 117855. 912907.i 0.128036 0.991770i
\(244\) −190887. −0.205259
\(245\) 459880. 796536.i 0.489474 0.847793i
\(246\) −439218. 155287.i −0.462745 0.163605i
\(247\) −342274. 592837.i −0.356970 0.618291i
\(248\) −280069. 485094.i −0.289159 0.500838i
\(249\) −512097. + 437818.i −0.523425 + 0.447502i
\(250\) −346228. + 599685.i −0.350358 + 0.606838i
\(251\) 450848. 0.451696 0.225848 0.974163i \(-0.427485\pi\)
0.225848 + 0.974163i \(0.427485\pi\)
\(252\) −67444.5 54503.4i −0.0669029 0.0540657i
\(253\) −1.85980e6 −1.82669
\(254\) 69156.6 119783.i 0.0672589 0.116496i
\(255\) 261437. + 1.40665e6i 0.251778 + 1.35467i
\(256\) −32768.0 56755.8i −0.0312500 0.0541266i
\(257\) −442803. 766958.i −0.418194 0.724334i 0.577564 0.816346i \(-0.304004\pi\)
−0.995758 + 0.0920119i \(0.970670\pi\)
\(258\) 142479. + 766601.i 0.133261 + 0.717002i
\(259\) 108635. 188161.i 0.100628 0.174293i
\(260\) −233751. −0.214448
\(261\) −28251.2 + 10877.2i −0.0256706 + 0.00988362i
\(262\) −318495. −0.286648
\(263\) 143984. 249388.i 0.128359 0.222324i −0.794682 0.607026i \(-0.792362\pi\)
0.923041 + 0.384702i \(0.125696\pi\)
\(264\) 449649. 384427.i 0.397067 0.339472i
\(265\) 304021. + 526580.i 0.265943 + 0.460627i
\(266\) 117868. + 204154.i 0.102139 + 0.176910i
\(267\) 1.38292e6 + 488935.i 1.18718 + 0.419733i
\(268\) −49436.7 + 85626.8i −0.0420448 + 0.0728237i
\(269\) 898860. 0.757376 0.378688 0.925524i \(-0.376375\pi\)
0.378688 + 0.925524i \(0.376375\pi\)
\(270\) 447561. + 727889.i 0.373631 + 0.607654i
\(271\) 1.89319e6 1.56592 0.782962 0.622069i \(-0.213708\pi\)
0.782962 + 0.622069i \(0.213708\pi\)
\(272\) −208322. + 360824.i −0.170731 + 0.295714i
\(273\) −84916.8 30022.6i −0.0689584 0.0243805i
\(274\) −542081. 938913.i −0.436202 0.755525i
\(275\) 16386.5 + 28382.2i 0.0130663 + 0.0226316i
\(276\) 594589. 508344.i 0.469834 0.401684i
\(277\) −866062. + 1.50006e6i −0.678187 + 1.17465i 0.297340 + 0.954772i \(0.403901\pi\)
−0.975526 + 0.219882i \(0.929433\pi\)
\(278\) −132675. −0.102962
\(279\) −330591. + 2.10093e6i −0.254261 + 1.61585i
\(280\) 80496.4 0.0613594
\(281\) 146629. 253968.i 0.110778 0.191873i −0.805306 0.592859i \(-0.797999\pi\)
0.916084 + 0.400986i \(0.131332\pi\)
\(282\) 100465. + 540546.i 0.0752302 + 0.404771i
\(283\) 399082. + 691230.i 0.296208 + 0.513046i 0.975265 0.221039i \(-0.0709447\pi\)
−0.679058 + 0.734085i \(0.737611\pi\)
\(284\) 83991.2 + 145477.i 0.0617928 + 0.107028i
\(285\) −424468. 2.28382e6i −0.309552 1.66552i
\(286\) 307230. 532138.i 0.222100 0.384689i
\(287\) 166632. 0.119413
\(288\) −38679.0 + 245807.i −0.0274786 + 0.174628i
\(289\) 1.22894e6 0.865537
\(290\) 14051.1 24337.1i 0.00981102 0.0169932i
\(291\) −965492. + 825447.i −0.668369 + 0.571422i
\(292\) 307043. + 531814.i 0.210737 + 0.365008i
\(293\) −695365. 1.20441e6i −0.473199 0.819605i 0.526330 0.850280i \(-0.323568\pi\)
−0.999529 + 0.0306753i \(0.990234\pi\)
\(294\) −958803. 338988.i −0.646936 0.228726i
\(295\) 438568. 759622.i 0.293415 0.508209i
\(296\) −623467. −0.413603
\(297\) −2.24530e6 + 62181.1i −1.47701 + 0.0409042i
\(298\) 146539. 0.0955902
\(299\) 406263. 703668.i 0.262802 0.455187i
\(300\) −12996.6 4595.01i −0.00833735 0.00294770i
\(301\) −139449. 241533.i −0.0887154 0.153660i
\(302\) 989941. + 1.71463e6i 0.624586 + 1.08181i
\(303\) 1.57428e6 1.34593e6i 0.985090 0.842202i
\(304\) 338230. 585831.i 0.209907 0.363570i
\(305\) −672803. −0.414132
\(306\) 1.47630e6 568401.i 0.901303 0.347017i
\(307\) 598019. 0.362134 0.181067 0.983471i \(-0.442045\pi\)
0.181067 + 0.983471i \(0.442045\pi\)
\(308\) −105800. + 183251.i −0.0635491 + 0.110070i
\(309\) −353527. 1.90213e6i −0.210633 1.13330i
\(310\) −987137. 1.70977e6i −0.583409 1.01049i
\(311\) 1.48902e6 + 2.57905e6i 0.872968 + 1.51203i 0.858912 + 0.512124i \(0.171141\pi\)
0.0140565 + 0.999901i \(0.495526\pi\)
\(312\) 47227.4 + 254104.i 0.0274668 + 0.147783i
\(313\) −1.25187e6 + 2.16830e6i −0.722266 + 1.25100i 0.237823 + 0.971309i \(0.423566\pi\)
−0.960089 + 0.279694i \(0.909767\pi\)
\(314\) 231327. 0.132404
\(315\) −237716. 192103.i −0.134984 0.109083i
\(316\) 285660. 0.160928
\(317\) −1.04317e6 + 1.80683e6i −0.583053 + 1.00988i 0.412062 + 0.911156i \(0.364809\pi\)
−0.995115 + 0.0987220i \(0.968525\pi\)
\(318\) 511003. 436882.i 0.283371 0.242268i
\(319\) 36935.9 + 63974.8i 0.0203223 + 0.0351992i
\(320\) −115495. 200043.i −0.0630503 0.109206i
\(321\) −1.51185e6 534520.i −0.818929 0.289535i
\(322\) −139904. + 242320.i −0.0751951 + 0.130242i
\(323\) −4.30057e6 −2.29361
\(324\) 700840. 633593.i 0.370899 0.335311i
\(325\) −14318.1 −0.00751932
\(326\) −270045. + 467732.i −0.140732 + 0.243755i
\(327\) −3.37080e6 1.19176e6i −1.74327 0.616338i
\(328\) −239080. 414098.i −0.122704 0.212529i
\(329\) −98328.2 170309.i −0.0500828 0.0867459i
\(330\) 1.58484e6 1.35496e6i 0.801126 0.684923i
\(331\) 947564. 1.64123e6i 0.475378 0.823378i −0.524225 0.851580i \(-0.675645\pi\)
0.999602 + 0.0282018i \(0.00897810\pi\)
\(332\) −691529. −0.344322
\(333\) 1.84118e6 + 1.48789e6i 0.909881 + 0.735295i
\(334\) 1.62411e6 0.796619
\(335\) −174245. + 301802.i −0.0848299 + 0.146930i
\(336\) −16263.6 87505.1i −0.00785901 0.0422849i
\(337\) −666562. 1.15452e6i −0.319717 0.553766i 0.660712 0.750639i \(-0.270254\pi\)
−0.980429 + 0.196874i \(0.936921\pi\)
\(338\) −608361. 1.05371e6i −0.289647 0.501684i
\(339\) 213446. + 1.14843e6i 0.100876 + 0.542759i
\(340\) −734254. + 1.27176e6i −0.344468 + 0.596636i
\(341\) 5.18976e6 2.41691
\(342\) −2.39691e6 + 922852.i −1.10812 + 0.426645i
\(343\) 738601. 0.338980
\(344\) −400157. + 693093.i −0.182320 + 0.315788i
\(345\) 2.09570e6 1.79172e6i 0.947941 0.810442i
\(346\) 456483. + 790652.i 0.204991 + 0.355055i
\(347\) −184376. 319349.i −0.0822018 0.142378i 0.821994 0.569497i \(-0.192862\pi\)
−0.904195 + 0.427119i \(0.859529\pi\)
\(348\) −29295.0 10357.4i −0.0129672 0.00458459i
\(349\) −1.36770e6 + 2.36892e6i −0.601071 + 1.04109i 0.391588 + 0.920141i \(0.371926\pi\)
−0.992659 + 0.120945i \(0.961407\pi\)
\(350\) 4930.70 0.00215149
\(351\) 466947. 863108.i 0.202302 0.373936i
\(352\) 607200. 0.261201
\(353\) 1.64512e6 2.84944e6i 0.702687 1.21709i −0.264833 0.964294i \(-0.585317\pi\)
0.967520 0.252795i \(-0.0813500\pi\)
\(354\) −914370. 323279.i −0.387805 0.137110i
\(355\) 296037. + 512751.i 0.124674 + 0.215941i
\(356\) 752765. + 1.30383e6i 0.314800 + 0.545249i
\(357\) −430082. + 367698.i −0.178600 + 0.152694i
\(358\) −38740.0 + 67099.7i −0.0159754 + 0.0276702i
\(359\) −1.85769e6 −0.760740 −0.380370 0.924834i \(-0.624203\pi\)
−0.380370 + 0.924834i \(0.624203\pi\)
\(360\) −136329. + 866377.i −0.0554410 + 0.352331i
\(361\) 4.50629e6 1.81991
\(362\) −275580. + 477318.i −0.110529 + 0.191442i
\(363\) 542806. + 2.92053e6i 0.216211 + 1.16331i
\(364\) −46222.9 80060.4i −0.0182854 0.0316712i
\(365\) 1.08221e6 + 1.87444e6i 0.425186 + 0.736443i
\(366\) 135934. + 731383.i 0.0530426 + 0.285392i
\(367\) 1.13820e6 1.97141e6i 0.441115 0.764034i −0.556657 0.830742i \(-0.687916\pi\)
0.997773 + 0.0667081i \(0.0212496\pi\)
\(368\) 802924. 0.309069
\(369\) −282207. + 1.79344e6i −0.107895 + 0.685681i
\(370\) −2.19748e6 −0.834490
\(371\) −120236. + 208256.i −0.0453525 + 0.0785528i
\(372\) −1.65920e6 + 1.41853e6i −0.621642 + 0.531473i
\(373\) −264482. 458096.i −0.0984292 0.170484i 0.812605 0.582814i \(-0.198048\pi\)
−0.911035 + 0.412330i \(0.864715\pi\)
\(374\) −1.93013e6 3.34308e6i −0.713521 1.23585i
\(375\) 2.54425e6 + 899527.i 0.934288 + 0.330321i
\(376\) −282159. + 488713.i −0.102926 + 0.178273i
\(377\) −32273.8 −0.0116949
\(378\) −160801. + 297226.i −0.0578842 + 0.106994i
\(379\) −3.23027e6 −1.15516 −0.577578 0.816336i \(-0.696002\pi\)
−0.577578 + 0.816336i \(0.696002\pi\)
\(380\) 1.19213e6 2.06483e6i 0.423511 0.733543i
\(381\) −508195. 179674.i −0.179357 0.0634123i
\(382\) 673046. + 1.16575e6i 0.235986 + 0.408740i
\(383\) −1.96451e6 3.40264e6i −0.684319 1.18527i −0.973650 0.228046i \(-0.926766\pi\)
0.289332 0.957229i \(-0.406567\pi\)
\(384\) −194125. + 165967.i −0.0671822 + 0.0574374i
\(385\) −372905. + 645890.i −0.128217 + 0.222079i
\(386\) 2.96349e6 1.01236
\(387\) 2.83577e6 1.09182e6i 0.962484 0.370573i
\(388\) −1.30379e6 −0.439670
\(389\) −2.34603e6 + 4.06344e6i −0.786066 + 1.36151i 0.142294 + 0.989825i \(0.454552\pi\)
−0.928360 + 0.371682i \(0.878781\pi\)
\(390\) 166458. + 895619.i 0.0554172 + 0.298168i
\(391\) −2.55228e6 4.42069e6i −0.844281 1.46234i
\(392\) −521906. 903968.i −0.171545 0.297124i
\(393\) 226806. + 1.22031e6i 0.0740751 + 0.398556i
\(394\) 438257. 759083.i 0.142229 0.246348i
\(395\) 1.00684e6 0.324690
\(396\) −1.79314e6 1.44907e6i −0.574613 0.464357i
\(397\) −4.97999e6 −1.58581 −0.792907 0.609343i \(-0.791433\pi\)
−0.792907 + 0.609343i \(0.791433\pi\)
\(398\) −430757. + 746092.i −0.136309 + 0.236094i
\(399\) 698278. 596993.i 0.219582 0.187731i
\(400\) −7074.48 12253.4i −0.00221077 0.00382917i
\(401\) −1.74213e6 3.01746e6i −0.541027 0.937087i −0.998845 0.0480411i \(-0.984702\pi\)
0.457818 0.889046i \(-0.348631\pi\)
\(402\) 363284. + 128440.i 0.112119 + 0.0396402i
\(403\) −1.13367e6 + 1.96358e6i −0.347717 + 0.602263i
\(404\) 2.12589e6 0.648017
\(405\) 2.47019e6 2.23317e6i 0.748330 0.676527i
\(406\) 11114.0 0.00334623
\(407\) 2.88825e6 5.00260e6i 0.864269 1.49696i
\(408\) 1.53084e6 + 541235.i 0.455282 + 0.160967i
\(409\) 647421. + 1.12137e6i 0.191372 + 0.331466i 0.945705 0.325026i \(-0.105373\pi\)
−0.754333 + 0.656492i \(0.772040\pi\)
\(410\) −842665. 1.45954e6i −0.247568 0.428801i
\(411\) −3.21142e6 + 2.74560e6i −0.937761 + 0.801739i
\(412\) 992889. 1.71973e6i 0.288176 0.499135i
\(413\) 346896. 0.100075
\(414\) −2.37114e6 1.91617e6i −0.679917 0.549456i
\(415\) −2.43737e6 −0.694708
\(416\) −132639. + 229738.i −0.0375785 + 0.0650878i
\(417\) 94480.3 + 508345.i 0.0266073 + 0.143159i
\(418\) 3.13374e6 + 5.42780e6i 0.877249 + 1.51944i
\(419\) 3.18739e6 + 5.52073e6i 0.886953 + 1.53625i 0.843459 + 0.537194i \(0.180516\pi\)
0.0434947 + 0.999054i \(0.486151\pi\)
\(420\) −57322.9 308422.i −0.0158564 0.0853143i
\(421\) 2.20802e6 3.82440e6i 0.607152 1.05162i −0.384555 0.923102i \(-0.625645\pi\)
0.991707 0.128516i \(-0.0410214\pi\)
\(422\) −18284.6 −0.00499809
\(423\) 1.99956e6 769864.i 0.543354 0.209201i
\(424\) 690052. 0.186409
\(425\) −44975.8 + 77900.3i −0.0120783 + 0.0209203i
\(426\) 497584. 425409.i 0.132844 0.113575i
\(427\) −133043. 230437.i −0.0353119 0.0611620i
\(428\) −822947. 1.42539e6i −0.217151 0.376117i
\(429\) −2.25767e6 798208.i −0.592267 0.209398i
\(430\) −1.41040e6 + 2.44289e6i −0.367851 + 0.637136i
\(431\) −6.65197e6 −1.72487 −0.862436 0.506166i \(-0.831062\pi\)
−0.862436 + 0.506166i \(0.831062\pi\)
\(432\) 969355. 26845.2i 0.249904 0.00692082i
\(433\) −3.41878e6 −0.876297 −0.438149 0.898903i \(-0.644366\pi\)
−0.438149 + 0.898903i \(0.644366\pi\)
\(434\) 390400. 676193.i 0.0994915 0.172324i
\(435\) −103254. 36505.7i −0.0261627 0.00924991i
\(436\) −1.83483e6 3.17802e6i −0.462253 0.800646i
\(437\) 4.14387e6 + 7.17740e6i 1.03801 + 1.79789i
\(438\) 1.81899e6 1.55515e6i 0.453050 0.387335i
\(439\) −1982.34 + 3433.51i −0.000490927 + 0.000850310i −0.866271 0.499575i \(-0.833490\pi\)
0.865780 + 0.500425i \(0.166823\pi\)
\(440\) 2.14015e6 0.527001
\(441\) −616052. + 3.91505e6i −0.150842 + 0.958608i
\(442\) 1.68650e6 0.410611
\(443\) −1.91417e6 + 3.31544e6i −0.463417 + 0.802661i −0.999129 0.0417398i \(-0.986710\pi\)
0.535712 + 0.844401i \(0.320043\pi\)
\(444\) 443982. + 2.38881e6i 0.106883 + 0.575075i
\(445\) 2.65321e6 + 4.59549e6i 0.635142 + 1.10010i
\(446\) 1.89106e6 + 3.27541e6i 0.450160 + 0.779701i
\(447\) −104353. 561465.i −0.0247023 0.132909i
\(448\) 45676.7 79114.3i 0.0107523 0.0186234i
\(449\) 1.62273e6 0.379866 0.189933 0.981797i \(-0.439173\pi\)
0.189933 + 0.981797i \(0.439173\pi\)
\(450\) −8350.63 + 53068.8i −0.00194396 + 0.0123540i
\(451\) 4.43021e6 1.02561
\(452\) −599470. + 1.03831e6i −0.138013 + 0.239046i
\(453\) 5.86464e6 5.01398e6i 1.34275 1.14799i
\(454\) 367780. + 637013.i 0.0837429 + 0.145047i
\(455\) −162918. 282182.i −0.0368927 0.0639000i
\(456\) −2.48547e6 878747.i −0.559753 0.197903i
\(457\) 3.76377e6 6.51904e6i 0.843010 1.46014i −0.0443285 0.999017i \(-0.514115\pi\)
0.887338 0.461119i \(-0.152552\pi\)
\(458\) −2.23374e6 −0.497586
\(459\) −3.22913e6 5.25167e6i −0.715407 1.16350i
\(460\) 2.83000e6 0.623580
\(461\) −360297. + 624052.i −0.0789602 + 0.136763i −0.902802 0.430057i \(-0.858493\pi\)
0.823841 + 0.566820i \(0.191827\pi\)
\(462\) 777469. + 274877.i 0.169464 + 0.0599146i
\(463\) 2.72788e6 + 4.72483e6i 0.591389 + 1.02432i 0.994046 + 0.108965i \(0.0347536\pi\)
−0.402656 + 0.915351i \(0.631913\pi\)
\(464\) −15946.2 27619.6i −0.00343844 0.00595556i
\(465\) −5.84803e6 + 4.99977e6i −1.25423 + 1.07230i
\(466\) 2.09701e6 3.63212e6i 0.447337 0.774810i
\(467\) −3.70082e6 −0.785245 −0.392623 0.919700i \(-0.628432\pi\)
−0.392623 + 0.919700i \(0.628432\pi\)
\(468\) 939967. 361903.i 0.198380 0.0763797i
\(469\) −137824. −0.0289329
\(470\) −994502. + 1.72253e6i −0.207664 + 0.359684i
\(471\) −164732. 886329.i −0.0342157 0.184095i
\(472\) −497720. 862076.i −0.102832 0.178111i
\(473\) −3.70751e6 6.42160e6i −0.761955 1.31975i
\(474\) −203423. 1.09451e6i −0.0415867 0.223755i
\(475\) 73022.4 126479.i 0.0148499 0.0257207i
\(476\) −580776. −0.117487
\(477\) −2.03781e6 1.64680e6i −0.410079 0.331394i
\(478\) −2.85521e6 −0.571569
\(479\) 3.00801e6 5.21003e6i 0.599020 1.03753i −0.393946 0.919133i \(-0.628890\pi\)
0.992966 0.118399i \(-0.0377762\pi\)
\(480\) −684217. + 584972.i −0.135547 + 0.115886i
\(481\) 1.26184e6 + 2.18558e6i 0.248681 + 0.430729i
\(482\) −1.54187e6 2.67060e6i −0.302295 0.523591i
\(483\) 1.02808e6 + 363480.i 0.200520 + 0.0708946i
\(484\) −1.52448e6 + 2.64048e6i −0.295808 + 0.512354i
\(485\) −4.59535e6 −0.887083
\(486\) −2.92669e6 2.23407e6i −0.562065 0.429049i
\(487\) 1.27159e6 0.242954 0.121477 0.992594i \(-0.461237\pi\)
0.121477 + 0.992594i \(0.461237\pi\)
\(488\) −381774. + 661252.i −0.0725699 + 0.125695i
\(489\) 1.98442e6 + 701598.i 0.375285 + 0.132683i
\(490\) −1.83952e6 3.18614e6i −0.346110 0.599480i
\(491\) 1.96015e6 + 3.39507e6i 0.366931 + 0.635544i 0.989084 0.147352i \(-0.0470751\pi\)
−0.622153 + 0.782896i \(0.713742\pi\)
\(492\) −1.41636e6 + 1.21092e6i −0.263792 + 0.225529i
\(493\) −101377. + 175591.i −0.0187856 + 0.0325375i
\(494\) −2.73819e6 −0.504832
\(495\) −6.32012e6 5.10743e6i −1.15934 0.936891i
\(496\) −2.24056e6 −0.408932
\(497\) −117079. + 202787.i −0.0212612 + 0.0368255i
\(498\) 492450. + 2.64959e6i 0.0889792 + 0.478747i
\(499\) 2.19781e6 + 3.80672e6i 0.395129 + 0.684383i 0.993118 0.117122i \(-0.0373667\pi\)
−0.597989 + 0.801504i \(0.704033\pi\)
\(500\) 1.38491e6 + 2.39874e6i 0.247741 + 0.429099i
\(501\) −1.15656e6 6.22279e6i −0.205861 1.10762i
\(502\) 901696. 1.56178e6i 0.159698 0.276606i
\(503\) 6.81583e6 1.20115 0.600577 0.799567i \(-0.294938\pi\)
0.600577 + 0.799567i \(0.294938\pi\)
\(504\) −323694. + 124628.i −0.0567621 + 0.0218544i
\(505\) 7.49294e6 1.30745
\(506\) −3.71960e6 + 6.44254e6i −0.645833 + 1.11861i
\(507\) −3.60407e6 + 3.08130e6i −0.622692 + 0.532371i
\(508\) −276626. 479131.i −0.0475592 0.0823749i
\(509\) −2.33301e6 4.04089e6i −0.399137 0.691325i 0.594483 0.804108i \(-0.297357\pi\)
−0.993620 + 0.112783i \(0.964023\pi\)
\(510\) 5.39564e6 + 1.90765e6i 0.918581 + 0.324768i
\(511\) −428000. + 741317.i −0.0725088 + 0.125589i
\(512\) −262144. −0.0441942
\(513\) 5.24279e6 + 8.52659e6i 0.879567 + 1.43048i
\(514\) −3.54243e6 −0.591416
\(515\) 3.49955e6 6.06140e6i 0.581426 1.00706i
\(516\) 2.94054e6 + 1.03964e6i 0.486187 + 0.171893i
\(517\) −2.61424e6 4.52799e6i −0.430149 0.745040i
\(518\) −434538. 752642.i −0.0711547 0.123244i
\(519\) 2.70431e6 2.31205e6i 0.440696 0.376773i
\(520\) −467503. + 809739.i −0.0758186 + 0.131322i
\(521\) −619313. −0.0999576 −0.0499788 0.998750i \(-0.515915\pi\)
−0.0499788 + 0.998750i \(0.515915\pi\)
\(522\) −18822.7 + 119620.i −0.00302347 + 0.0192144i
\(523\) −4.63344e6 −0.740713 −0.370356 0.928890i \(-0.620764\pi\)
−0.370356 + 0.928890i \(0.620764\pi\)
\(524\) −636989. + 1.10330e6i −0.101345 + 0.175535i
\(525\) −3511.24 18892.0i −0.000555984 0.00299143i
\(526\) −575937. 997552.i −0.0907634 0.157207i
\(527\) 7.12213e6 + 1.23359e7i 1.11708 + 1.93484i
\(528\) −432397. 2.32648e6i −0.0674991 0.363175i
\(529\) −1.70040e6 + 2.94519e6i −0.264188 + 0.457587i
\(530\) 2.43217e6 0.376100
\(531\) −587503. + 3.73362e6i −0.0904219 + 0.574637i
\(532\) 942945. 0.144447
\(533\) −967755. + 1.67620e6i −0.147553 + 0.255569i
\(534\) 4.45955e6 3.81269e6i 0.676766 0.578601i
\(535\) −2.90057e6 5.02394e6i −0.438126 0.758857i
\(536\) 197747. + 342507.i 0.0297302 + 0.0514941i
\(537\) 284680. + 100650.i 0.0426011 + 0.0150618i
\(538\) 1.79772e6 3.11374e6i 0.267773 0.463796i
\(539\) 9.67106e6 1.43384
\(540\) 3.41661e6 94619.1i 0.504209 0.0139635i
\(541\) −9.72857e6 −1.42908 −0.714539 0.699596i \(-0.753364\pi\)
−0.714539 + 0.699596i \(0.753364\pi\)
\(542\) 3.78638e6 6.55820e6i 0.553638 0.958929i
\(543\) 2.02509e6 + 715977.i 0.294744 + 0.104208i
\(544\) 833286. + 1.44329e6i 0.120725 + 0.209102i
\(545\) −6.46708e6 1.12013e7i −0.932646 1.61539i
\(546\) −273835. + 234115.i −0.0393104 + 0.0336084i
\(547\) −4.63898e6 + 8.03494e6i −0.662909 + 1.14819i 0.316939 + 0.948446i \(0.397345\pi\)
−0.979848 + 0.199746i \(0.935988\pi\)
\(548\) −4.33665e6 −0.616883
\(549\) 2.70549e6 1.04166e6i 0.383103 0.147501i
\(550\) 131092. 0.0184786
\(551\) 164596. 285088.i 0.0230962 0.0400037i
\(552\) −571776. 3.07640e6i −0.0798690 0.429730i
\(553\) 199096. + 344845.i 0.0276854 + 0.0479525i
\(554\) 3.46425e6 + 6.00025e6i 0.479551 + 0.830606i
\(555\) 1.56487e6 + 8.41965e6i 0.215648 + 1.16028i
\(556\) −265350. + 459600.i −0.0364026 + 0.0630512i
\(557\) 2.83520e6 0.387209 0.193604 0.981080i \(-0.437982\pi\)
0.193604 + 0.981080i \(0.437982\pi\)
\(558\) 6.61664e6 + 5.34705e6i 0.899605 + 0.726991i
\(559\) 3.23954e6 0.438484
\(560\) 160993. 278848.i 0.0216938 0.0375748i
\(561\) −1.14345e7 + 9.77594e6i −1.53395 + 1.31145i
\(562\) −586514. 1.01587e6i −0.0783317 0.135675i
\(563\) −4.85708e6 8.41271e6i −0.645809 1.11857i −0.984114 0.177538i \(-0.943187\pi\)
0.338305 0.941037i \(-0.390147\pi\)
\(564\) 2.07344e6 + 733070.i 0.274469 + 0.0970393i
\(565\) −2.11290e6 + 3.65965e6i −0.278457 + 0.482302i
\(566\) 3.19266e6 0.418901
\(567\) 1.25333e6 + 404450.i 0.163722 + 0.0528332i
\(568\) 671930. 0.0873883
\(569\) 901486. 1.56142e6i 0.116729 0.202180i −0.801741 0.597672i \(-0.796092\pi\)
0.918470 + 0.395492i \(0.129426\pi\)
\(570\) −8.76034e6 3.09725e6i −1.12936 0.399290i
\(571\) 3.24846e6 + 5.62649e6i 0.416953 + 0.722183i 0.995631 0.0933726i \(-0.0297648\pi\)
−0.578679 + 0.815556i \(0.696431\pi\)
\(572\) −1.22892e6 2.12855e6i −0.157049 0.272016i
\(573\) 3.98728e6 3.40893e6i 0.507330 0.433742i
\(574\) 333263. 577229.i 0.0422190 0.0731254i
\(575\) 173348. 0.0218650
\(576\) 774144. + 625603.i 0.0972222 + 0.0785674i
\(577\) 3.93067e6 0.491504 0.245752 0.969333i \(-0.420965\pi\)
0.245752 + 0.969333i \(0.420965\pi\)
\(578\) 2.45788e6 4.25717e6i 0.306014 0.530031i
\(579\) −2.11035e6 1.13546e7i −0.261613 1.40759i
\(580\) −56204.2 97348.6i −0.00693744 0.0120160i
\(581\) −481975. 834806.i −0.0592358 0.102599i
\(582\) 928449. + 4.99546e6i 0.113619 + 0.611319i
\(583\) −3.19671e6 + 5.53686e6i −0.389522 + 0.674671i
\(584\) 2.45634e6 0.298028
\(585\) 3.31302e6 1.27557e6i 0.400253 0.154104i
\(586\) −5.56292e6 −0.669205
\(587\) −1.07731e6 + 1.86595e6i −0.129046 + 0.223514i −0.923307 0.384062i \(-0.874525\pi\)
0.794261 + 0.607576i \(0.207858\pi\)
\(588\) −3.09190e6 + 2.64342e6i −0.368792 + 0.315299i
\(589\) −1.15635e7 2.00285e7i −1.37341 2.37881i
\(590\) −1.75427e6 3.03849e6i −0.207476 0.359358i
\(591\) −3.22052e6 1.13862e6i −0.379277 0.134095i
\(592\) −1.24693e6 + 2.15975e6i −0.146231 + 0.253279i
\(593\) −1.38401e7 −1.61623 −0.808113 0.589027i \(-0.799511\pi\)
−0.808113 + 0.589027i \(0.799511\pi\)
\(594\) −4.27520e6 + 7.90231e6i −0.497153 + 0.918942i
\(595\) −2.04701e6 −0.237044
\(596\) 293079. 507627.i 0.0337962 0.0585368i
\(597\) 3.16540e6 + 1.11914e6i 0.363490 + 0.128513i
\(598\) −1.62505e6 2.81467e6i −0.185829 0.321866i
\(599\) 83012.3 + 143782.i 0.00945313 + 0.0163733i 0.870713 0.491791i \(-0.163658\pi\)
−0.861260 + 0.508164i \(0.830324\pi\)
\(600\) −41910.9 + 35831.7i −0.00475279 + 0.00406340i
\(601\) 7.32908e6 1.26943e7i 0.827682 1.43359i −0.0721708 0.997392i \(-0.522993\pi\)
0.899852 0.436194i \(-0.143674\pi\)
\(602\) −1.11559e6 −0.125463
\(603\) 233418. 1.48339e6i 0.0261421 0.166135i
\(604\) 7.91953e6 0.883297
\(605\) −5.37322e6 + 9.30669e6i −0.596824 + 1.03373i
\(606\) −1.51388e6 8.14533e6i −0.167460 0.901005i
\(607\) 1.45547e6 + 2.52096e6i 0.160337 + 0.277711i 0.934989 0.354676i \(-0.115409\pi\)
−0.774653 + 0.632387i \(0.782075\pi\)
\(608\) −1.35292e6 2.34332e6i −0.148427 0.257083i
\(609\) −7914.49 42583.4i −0.000864729 0.00465261i
\(610\) −1.34561e6 + 2.33066e6i −0.146418 + 0.253603i
\(611\) 2.28426e6 0.247539
\(612\) 983602. 6.25085e6i 0.106155 0.674622i
\(613\) 1.46967e7 1.57968 0.789838 0.613315i \(-0.210164\pi\)
0.789838 + 0.613315i \(0.210164\pi\)
\(614\) 1.19604e6 2.07160e6i 0.128034 0.221761i
\(615\) −4.99214e6 + 4.26803e6i −0.532230 + 0.455030i
\(616\) 423200. + 733004.i 0.0449360 + 0.0778314i
\(617\) 1.49092e6 + 2.58235e6i 0.157668 + 0.273088i 0.934027 0.357202i \(-0.116269\pi\)
−0.776360 + 0.630290i \(0.782936\pi\)
\(618\) −7.29621e6 2.57960e6i −0.768469 0.271695i
\(619\) −879493. + 1.52333e6i −0.0922583 + 0.159796i −0.908461 0.417969i \(-0.862742\pi\)
0.816203 + 0.577766i \(0.196075\pi\)
\(620\) −7.89710e6 −0.825065
\(621\) −5.65327e6 + 1.04495e7i −0.588262 + 1.08735i
\(622\) 1.19121e7 1.23456
\(623\) −1.04931e6 + 1.81746e6i −0.108314 + 0.187605i
\(624\) 974696. + 344607.i 0.100209 + 0.0354293i
\(625\) 4.96764e6 + 8.60421e6i 0.508687 + 0.881071i
\(626\) 5.00747e6 + 8.67319e6i 0.510720 + 0.884592i
\(627\) 1.85650e7 1.58722e7i 1.88594 1.61238i
\(628\) 462654. 801340.i 0.0468120 0.0810807i
\(629\) 1.58547e7 1.59783
\(630\) −1.14090e6 + 439265.i −0.114524 + 0.0440936i
\(631\) 4.55795e6 0.455718 0.227859 0.973694i \(-0.426827\pi\)
0.227859 + 0.973694i \(0.426827\pi\)
\(632\) 571320. 989554.i 0.0568966 0.0985478i
\(633\) 13020.8 + 70057.4i 0.00129160 + 0.00694936i
\(634\) 4.17269e6 + 7.22732e6i 0.412281 + 0.714092i
\(635\) −975003. 1.68875e6i −0.0959558 0.166200i
\(636\) −491398. 2.64393e6i −0.0481715 0.259184i
\(637\) −2.11259e6 + 3.65911e6i −0.206284 + 0.357295i
\(638\) 295487. 0.0287400
\(639\) −1.98429e6 1.60355e6i −0.192244 0.155357i
\(640\) −923957. −0.0891665
\(641\) −8.62721e6 + 1.49428e7i −0.829326 + 1.43643i 0.0692419 + 0.997600i \(0.477942\pi\)
−0.898568 + 0.438835i \(0.855391\pi\)
\(642\) −4.87533e6 + 4.16816e6i −0.466838 + 0.399123i
\(643\) −6.68107e6 1.15719e7i −0.637263 1.10377i −0.986031 0.166562i \(-0.946733\pi\)
0.348768 0.937209i \(-0.386600\pi\)
\(644\) 559615. + 969281.i 0.0531710 + 0.0920948i
\(645\) 1.03643e7 + 3.66433e6i 0.980935 + 0.346813i
\(646\) −8.60114e6 + 1.48976e7i −0.810914 + 1.40454i
\(647\) 357748. 0.0335982 0.0167991 0.999859i \(-0.494652\pi\)
0.0167991 + 0.999859i \(0.494652\pi\)
\(648\) −793152. 3.69497e6i −0.0742026 0.345679i
\(649\) 9.22288e6 0.859518
\(650\) −28636.3 + 49599.5i −0.00265848 + 0.00460462i
\(651\) −2.86884e6 1.01429e6i −0.265311 0.0938014i
\(652\) 1.08018e6 + 1.87093e6i 0.0995125 + 0.172361i
\(653\) 6.12091e6 + 1.06017e7i 0.561737 + 0.972957i 0.997345 + 0.0728208i \(0.0232001\pi\)
−0.435608 + 0.900137i \(0.643467\pi\)
\(654\) −1.08700e7 + 9.29328e6i −0.993766 + 0.849620i
\(655\) −2.24514e6 + 3.88870e6i −0.204475 + 0.354162i
\(656\) −1.91264e6 −0.173529
\(657\) −7.25388e6 5.86202e6i −0.655627 0.529827i
\(658\) −786626. −0.0708277
\(659\) −5.25518e6 + 9.10224e6i −0.471383 + 0.816460i −0.999464 0.0327344i \(-0.989578\pi\)
0.528081 + 0.849194i \(0.322912\pi\)
\(660\) −1.52404e6 8.19997e6i −0.136187 0.732744i
\(661\) −1.51211e6 2.61905e6i −0.134611 0.233153i 0.790838 0.612026i \(-0.209645\pi\)
−0.925449 + 0.378873i \(0.876312\pi\)
\(662\) −3.79026e6 6.56492e6i −0.336143 0.582216i
\(663\) −1.20099e6 6.46183e6i −0.106110 0.570915i
\(664\) −1.38306e6 + 2.39553e6i −0.121736 + 0.210853i
\(665\) 3.32352e6 0.291437
\(666\) 8.83657e6 3.40223e6i 0.771966 0.297220i
\(667\) 390734. 0.0340069
\(668\) 3.24823e6 5.62610e6i 0.281647 0.487827i
\(669\) 1.12031e7 9.57806e6i 0.967769 0.827393i
\(670\) 696981. + 1.20721e6i 0.0599838 + 0.103895i
\(671\) −3.53718e6 6.12658e6i −0.303285 0.525306i
\(672\) −335654. 118671.i −0.0286727 0.0101373i
\(673\) 6.14813e6 1.06489e7i 0.523245 0.906287i −0.476389 0.879235i \(-0.658055\pi\)
0.999634 0.0270524i \(-0.00861210\pi\)
\(674\) −5.33249e6 −0.452148
\(675\) 209280. 5795.77i 0.0176794 0.000489612i
\(676\) −4.86688e6 −0.409623
\(677\) −605609. + 1.04895e6i −0.0507833 + 0.0879592i −0.890300 0.455375i \(-0.849505\pi\)
0.839516 + 0.543334i \(0.182838\pi\)
\(678\) 4.40519e6 + 1.55747e6i 0.368036 + 0.130120i
\(679\) −908701. 1.57392e6i −0.0756392 0.131011i
\(680\) 2.93702e6 + 5.08706e6i 0.243576 + 0.421885i
\(681\) 2.17881e6 1.86278e6i 0.180033 0.153919i
\(682\) 1.03795e7 1.79779e7i 0.854508 1.48005i
\(683\) −5.89207e6 −0.483299 −0.241650 0.970364i \(-0.577688\pi\)
−0.241650 + 0.970364i \(0.577688\pi\)
\(684\) −1.59697e6 + 1.01489e7i −0.130514 + 0.829424i
\(685\) −1.52850e7 −1.24463
\(686\) 1.47720e6 2.55859e6i 0.119848 0.207582i
\(687\) 1.59068e6 + 8.55856e6i 0.128585 + 0.691845i
\(688\) 1.60063e6 + 2.77237e6i 0.128920 + 0.223296i
\(689\) −1.39661e6 2.41899e6i −0.112079 0.194127i
\(690\) −2.01529e6 1.08431e7i −0.161144 0.867027i
\(691\) 6.20006e6 1.07388e7i 0.493970 0.855581i −0.506006 0.862530i \(-0.668879\pi\)
0.999976 + 0.00694867i \(0.00221185\pi\)
\(692\) 3.65187e6 0.289901
\(693\) 499541. 3.17462e6i 0.0395128 0.251107i
\(694\) −1.47501e6 −0.116251
\(695\) −935259. + 1.61992e6i −0.0734463 + 0.127213i
\(696\) −94469.0 + 80766.2i −0.00739207 + 0.00631985i
\(697\) 6.07977e6 + 1.05305e7i 0.474029 + 0.821043i
\(698\) 5.47079e6 + 9.47568e6i 0.425022 + 0.736159i
\(699\) −1.54098e7 5.44818e6i −1.19290 0.421753i
\(700\) 9861.41 17080.5i 0.000760666 0.00131751i
\(701\) −1.29116e7 −0.992396 −0.496198 0.868209i \(-0.665271\pi\)
−0.496198 + 0.868209i \(0.665271\pi\)
\(702\) −2.05600e6 3.34377e6i −0.157464 0.256090i
\(703\) −2.57416e7 −1.96448
\(704\) 1.21440e6 2.10340e6i 0.0923485 0.159952i
\(705\) 7.30807e6 + 2.58379e6i 0.553770 + 0.195787i
\(706\) −6.58050e6 1.13978e7i −0.496875 0.860612i
\(707\) 1.48168e6 + 2.56635e6i 0.111482 + 0.193093i
\(708\) −2.94861e6 + 2.52091e6i −0.221072 + 0.189006i
\(709\) −9.36762e6 + 1.62252e7i −0.699864 + 1.21220i 0.268650 + 0.963238i \(0.413423\pi\)
−0.968513 + 0.248962i \(0.919911\pi\)
\(710\) 2.36830e6 0.176315
\(711\) −4.04874e6 + 1.55883e6i −0.300362 + 0.115645i
\(712\) 6.02212e6 0.445194
\(713\) 1.37253e7 2.37728e7i 1.01111 1.75129i
\(714\) 413581. + 2.22524e6i 0.0303609 + 0.163355i
\(715\) −4.33148e6 7.50234e6i −0.316862 0.548822i
\(716\) 154960. + 268399.i 0.0112963 + 0.0195658i
\(717\) 2.03325e6 + 1.09397e7i 0.147704 + 0.794711i
\(718\) −3.71537e6 + 6.43522e6i −0.268962 + 0.465856i
\(719\) −1.08129e7 −0.780044 −0.390022 0.920806i \(-0.627533\pi\)
−0.390022 + 0.920806i \(0.627533\pi\)
\(720\) 2.72856e6 + 2.20501e6i 0.196156 + 0.158518i
\(721\) 2.76806e6 0.198306
\(722\) 9.01257e6 1.56102e7i 0.643437 1.11446i
\(723\) −9.13442e6 + 7.80947e6i −0.649883 + 0.555618i
\(724\) 1.10232e6 + 1.90927e6i 0.0781557 + 0.135370i
\(725\) −3442.72 5962.96i −0.000243252 0.000421325i
\(726\) 1.12026e7 + 3.96072e6i 0.788820 + 0.278890i
\(727\) 2.80710e6 4.86205e6i 0.196980 0.341180i −0.750568 0.660794i \(-0.770220\pi\)
0.947548 + 0.319614i \(0.103553\pi\)
\(728\) −369783. −0.0258594
\(729\) −6.47571e6 + 1.28045e7i −0.451303 + 0.892371i
\(730\) 8.65766e6 0.601303
\(731\) 1.01760e7 1.76253e7i 0.704339 1.21995i
\(732\) 2.80545e6 + 991878.i 0.193520 + 0.0684196i
\(733\) 8.84117e6 + 1.53133e7i 0.607785 + 1.05271i 0.991605 + 0.129306i \(0.0412749\pi\)
−0.383820 + 0.923408i \(0.625392\pi\)
\(734\) −4.55279e6 7.88566e6i −0.311916 0.540254i
\(735\) −1.08977e7 + 9.31703e6i −0.744078 + 0.636149i
\(736\) 1.60585e6 2.78141e6i 0.109272 0.189265i
\(737\) −3.66430e6 −0.248498
\(738\) 5.64826e6 + 4.56448e6i 0.381745 + 0.308497i
\(739\) 9.10643e6 0.613390 0.306695 0.951808i \(-0.400777\pi\)
0.306695 + 0.951808i \(0.400777\pi\)
\(740\) −4.39496e6 + 7.61230e6i −0.295037 + 0.511019i
\(741\) 1.94992e6 + 1.04914e7i 0.130458 + 0.701920i
\(742\) 480946. + 833022.i 0.0320691 + 0.0555452i
\(743\) 165517. + 286683.i 0.0109994 + 0.0190515i 0.871473 0.490444i \(-0.163165\pi\)
−0.860473 + 0.509496i \(0.829832\pi\)
\(744\) 1.59554e6 + 8.58469e6i 0.105676 + 0.568581i
\(745\) 1.03299e6 1.78919e6i 0.0681876 0.118104i
\(746\) −2.11585e6 −0.139200
\(747\) 9.80123e6 3.77364e6i 0.642657 0.247434i
\(748\) −1.54410e7 −1.00907
\(749\) 1.14714e6 1.98690e6i 0.0747157 0.129411i
\(750\) 8.20454e6 7.01447e6i 0.532600 0.455346i
\(751\) 1.40412e7 + 2.43202e7i 0.908460 + 1.57350i 0.816204 + 0.577764i \(0.196074\pi\)
0.0922561 + 0.995735i \(0.470592\pi\)
\(752\) 1.12864e6 + 1.95485e6i 0.0727795 + 0.126058i
\(753\) −6.62608e6 2.34267e6i −0.425863 0.150565i
\(754\) −64547.5 + 111800.i −0.00413477 + 0.00716163i
\(755\) 2.79133e7 1.78215
\(756\) 708019. + 1.15148e6i 0.0450548 + 0.0732746i
\(757\) −1.85991e7 −1.17965 −0.589824 0.807532i \(-0.700803\pi\)
−0.589824 + 0.807532i \(0.700803\pi\)
\(758\) −6.46054e6 + 1.11900e7i −0.408409 + 0.707385i
\(759\) 2.73334e7 + 9.66380e6i 1.72222 + 0.608897i
\(760\) −4.76852e6 8.25932e6i −0.299468 0.518693i
\(761\) −5.16614e6 8.94802e6i −0.323374 0.560099i 0.657808 0.753185i \(-0.271484\pi\)
−0.981182 + 0.193086i \(0.938150\pi\)
\(762\) −1.63880e6 + 1.40109e6i −0.102244 + 0.0874136i
\(763\) 2.55765e6 4.42997e6i 0.159048 0.275480i
\(764\) 5.38437e6 0.333735
\(765\) 3.46682e6