Properties

Label 18.6.c.a.13.1
Level $18$
Weight $6$
Character 18.13
Analytic conductor $2.887$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 13.1
Root \(-1.22474 - 0.707107i\) of defining polynomial
Character \(\chi\) \(=\) 18.13
Dual form 18.6.c.a.7.1

$q$-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 \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\)

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 0.495585 + 0.868560i \(0.334954\pi\)
−0.999987 + 0.00509067i \(0.998380\pi\)
\(6\) −47.3939 40.5194i −0.537457 0.459499i
\(7\) 11.1515 + 19.3150i 0.0860180 + 0.148988i 0.905825 0.423653i \(-0.139252\pi\)
−0.819807 + 0.572641i \(0.805919\pi\)
\(8\) −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 0.953041 + 0.302840i \(0.0979348\pi\)
−0.214253 + 0.976778i \(0.568732\pi\)
\(12\) 45.5755 245.216i 0.0913647 0.491582i
\(13\) 129.531 224.354i 0.212576 0.368192i −0.739944 0.672668i \(-0.765148\pi\)
0.952520 + 0.304476i \(0.0984814\pi\)
\(14\) −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 0.371688 + 0.928358i \(0.378779\pi\)
−0.989825 + 0.142288i \(0.954554\pi\)
\(24\) 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 0.859067 0.511864i \(-0.171045\pi\)
−0.872820 + 0.488042i \(0.837711\pi\)
\(30\) 3315.27 1172.12i 0.672536 0.237777i
\(31\) 4376.08 7579.60i 0.817865 1.41658i −0.0893879 0.995997i \(-0.528491\pi\)
0.907253 0.420586i \(-0.138176\pi\)
\(32\) 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 −0.638667 0.769484i \(-0.720514\pi\)
0.985726 + 0.168360i \(0.0538471\pi\)
\(42\) 254.118 1367.27i 0.0222286 0.119600i
\(43\) 6252.46 + 10829.6i 0.515679 + 0.893183i 0.999834 + 0.0182005i \(0.00579373\pi\)
−0.484155 + 0.874982i \(0.660873\pi\)
\(44\) −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 0.974074 0.226228i \(-0.0726395\pi\)
−0.682956 + 0.730459i \(0.739306\pi\)
\(48\) 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 −0.683158 0.730271i \(-0.739394\pi\)
0.974012 + 0.226497i \(0.0727273\pi\)
\(60\) 10690.9 + 9140.18i 0.383386 + 0.327776i
\(61\) 5965.22 + 10332.1i 0.205259 + 0.355519i 0.950215 0.311595i \(-0.100863\pi\)
−0.744956 + 0.667113i \(0.767530\pi\)
\(62\) 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 −0.905003 0.425405i \(-0.860132\pi\)
0.820913 + 0.571053i \(0.193465\pi\)
\(68\) −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 0.774274 0.632851i \(-0.218115\pi\)
−0.935202 + 0.354115i \(0.884782\pi\)
\(80\) 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 0.985230 0.171234i \(-0.0547754\pi\)
−0.640908 + 0.767618i \(0.721442\pi\)
\(84\) 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 0.997664 0.0683138i \(-0.0217619\pi\)
−0.557993 + 0.829845i \(0.688429\pi\)
\(98\) 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 −0.983596 0.180387i \(-0.942265\pi\)
0.335578 0.942012i \(-0.391068\pi\)
\(102\) −77134.1 65945.8i −0.734085 0.627605i
\(103\) 62055.5 107483.i 0.576352 0.998270i −0.419542 0.907736i \(-0.637809\pi\)
0.995893 0.0905343i \(-0.0288575\pi\)
\(104\) −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 −0.970394 0.241529i \(-0.922351\pi\)
0.694367 + 0.719621i \(0.255685\pi\)
\(114\) 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 −0.949395 0.314086i \(-0.898302\pi\)
0.746704 + 0.665157i \(0.231635\pi\)
\(132\) 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 0.990051 + 0.140709i \(0.0449383\pi\)
−0.373168 + 0.927764i \(0.621728\pi\)
\(138\) 184383. 65189.3i 0.824183 0.291393i
\(139\) −16584.4 + 28725.0i −0.0728053 + 0.126102i −0.900130 0.435622i \(-0.856528\pi\)
0.827324 + 0.561724i \(0.189862\pi\)
\(140\) 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 −0.830249 0.557393i \(-0.811802\pi\)
0.897841 + 0.440320i \(0.145135\pi\)
\(150\) −629.732 + 3388.23i −0.00228522 + 0.0122955i
\(151\) −247485. 428657.i −0.883297 1.52992i −0.847653 0.530552i \(-0.821985\pi\)
−0.0356448 0.999365i \(-0.511349\pi\)
\(152\) 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 −0.815410 0.578885i \(-0.803488\pi\)
0.909033 + 0.416723i \(0.136822\pi\)
\(158\) 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 −0.433912 0.900955i \(-0.642867\pi\)
0.997206 0.0746992i \(-0.0237997\pi\)
\(168\) 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 0.683885 0.729590i \(-0.260289\pi\)
−0.973786 + 0.227467i \(0.926956\pi\)
\(174\) −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 0.649506 0.760356i \(-0.274976\pi\)
−0.983241 + 0.182311i \(0.941642\pi\)
\(192\) −60198.7 + 21283.4i −0.117851 + 0.0416667i
\(193\) 370436. 641615.i 0.715847 1.23988i −0.246785 0.969070i \(-0.579374\pi\)
0.962632 0.270813i \(-0.0872926\pi\)
\(194\) −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 −0.867787 0.496936i \(-0.834458\pi\)
0.864253 + 0.503058i \(0.167792\pi\)
\(212\) 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 −0.986169 0.165744i \(-0.946997\pi\)
0.349546 0.936919i \(-0.386336\pi\)
\(224\) 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 0.800715 0.599045i \(-0.204453\pi\)
−0.919146 + 0.393917i \(0.871120\pi\)
\(228\) −120430. + 647964.i −0.153425 + 0.825493i
\(229\) −279217. + 483618.i −0.351846 + 0.609416i −0.986573 0.163321i \(-0.947779\pi\)
0.634727 + 0.772737i \(0.281113\pi\)
\(230\) 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 −0.994223 0.107331i \(-0.965770\pi\)
0.590063 + 0.807357i \(0.299103\pi\)
\(240\) −212177. + 75016.0i −0.237777 + 0.0840670i
\(241\) 385469. + 667651.i 0.427510 + 0.740469i 0.996651 0.0817707i \(-0.0260575\pi\)
−0.569141 + 0.822240i \(0.692724\pi\)
\(242\) −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 −0.995758 0.0920119i \(-0.970670\pi\)
0.577564 + 0.816346i \(0.304004\pi\)
\(258\) 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 0.923041 0.384702i \(-0.125696\pi\)
−0.794682 + 0.607026i \(0.792362\pi\)
\(264\) 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 −0.975526 0.219882i \(-0.929433\pi\)
0.297340 0.954772i \(-0.403901\pi\)
\(278\) −132675. −0.102962
\(279\) −330591. 2.10093e6i −0.254261 1.61585i
\(280\) 80496.4 0.0613594
\(281\) 146629. + 253968.i 0.110778 + 0.191873i 0.916084 0.400986i \(-0.131332\pi\)
−0.805306 + 0.592859i \(0.797999\pi\)
\(282\) 100465. 540546.i 0.0752302 0.404771i
\(283\) 399082. 691230.i 0.296208 0.513046i −0.679058 0.734085i \(-0.737611\pi\)
0.975265 + 0.221039i \(0.0709447\pi\)
\(284\) 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 −0.999529 0.0306753i \(-0.990234\pi\)
0.526330 + 0.850280i \(0.323568\pi\)
\(294\) −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 0.0140565 0.999901i \(-0.495526\pi\)
0.858912 0.512124i \(-0.171141\pi\)
\(312\) 47227.4 254104.i 0.0274668 0.147783i
\(313\) −1.25187e6 2.16830e6i −0.722266 1.25100i −0.960089 0.279694i \(-0.909767\pi\)
0.237823 0.971309i \(-0.423566\pi\)
\(314\) 231327. 0.132404
\(315\) −237716. + 192103.i −0.134984 + 0.109083i
\(316\) 285660. 0.160928
\(317\) −1.04317e6 1.80683e6i −0.583053 1.00988i −0.995115 0.0987220i \(-0.968525\pi\)
0.412062 0.911156i \(-0.364809\pi\)
\(318\) 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 0.999602 0.0282018i \(-0.00897810\pi\)
−0.524225 + 0.851580i \(0.675645\pi\)
\(332\) −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 −0.980429 0.196874i \(-0.936921\pi\)
0.660712 + 0.750639i \(0.270254\pi\)
\(338\) −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 −0.904195 0.427119i \(-0.859529\pi\)
0.821994 + 0.569497i \(0.192862\pi\)
\(348\) −29295.0 + 10357.4i −0.0129672 + 0.00458459i
\(349\) −1.36770e6 2.36892e6i −0.601071 1.04109i −0.992659 0.120945i \(-0.961407\pi\)
0.391588 0.920141i \(-0.371926\pi\)
\(350\) 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 0.967520 + 0.252795i \(0.0813500\pi\)
−0.264833 + 0.964294i \(0.585317\pi\)
\(354\) −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 0.997773 0.0667081i \(-0.0212496\pi\)
−0.556657 + 0.830742i \(0.687916\pi\)
\(368\) 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 −0.911035 0.412330i \(-0.864715\pi\)
0.812605 + 0.582814i \(0.198048\pi\)
\(374\) −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 0.289332 + 0.957229i \(0.406567\pi\)
−0.973650 + 0.228046i \(0.926766\pi\)
\(384\) −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 −0.928360 0.371682i \(-0.878781\pi\)
0.142294 0.989825i \(-0.454552\pi\)
\(390\) 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 0.457818 + 0.889046i \(0.348631\pi\)
−0.998845 + 0.0480411i \(0.984702\pi\)
\(402\) 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 −0.754333 0.656492i \(-0.772040\pi\)
0.945705 + 0.325026i \(0.105373\pi\)
\(410\) −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 0.0434947 0.999054i \(-0.486151\pi\)
0.843459 0.537194i \(-0.180516\pi\)
\(420\) −57322.9 + 308422.i −0.0158564 + 0.0853143i
\(421\) 2.20802e6 + 3.82440e6i 0.607152 + 1.05162i 0.991707 + 0.128516i \(0.0410214\pi\)
−0.384555 + 0.923102i \(0.625645\pi\)
\(422\) −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 0.865780 0.500425i \(-0.166823\pi\)
−0.866271 + 0.499575i \(0.833490\pi\)
\(440\) 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 0.535712 0.844401i \(-0.320043\pi\)
−0.999129 + 0.0417398i \(0.986710\pi\)
\(444\) 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 0.887338 + 0.461119i \(0.152552\pi\)
−0.0443285 + 0.999017i \(0.514115\pi\)
\(458\) −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 0.823841 0.566820i \(-0.191827\pi\)
−0.902802 + 0.430057i \(0.858493\pi\)
\(462\) 777469. 274877.i 0.169464 0.0599146i
\(463\) 2.72788e6 4.72483e6i 0.591389 1.02432i −0.402656 0.915351i \(-0.631913\pi\)
0.994046 0.108965i \(-0.0347536\pi\)
\(464\) −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 0.992966 + 0.118399i \(0.0377762\pi\)
−0.393946 + 0.919133i \(0.628890\pi\)
\(480\) −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 −0.622153 0.782896i \(-0.713742\pi\)
0.989084 + 0.147352i \(0.0470751\pi\)
\(492\) −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 −0.597989 0.801504i \(-0.704033\pi\)
0.993118 + 0.117122i \(0.0373667\pi\)
\(500\) 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 −0.993620 0.112783i \(-0.964023\pi\)
0.594483 + 0.804108i \(0.297357\pi\)
\(510\) 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 −0.979848 0.199746i \(-0.935988\pi\)
0.316939 0.948446i \(-0.397345\pi\)
\(548\) −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 0.338305 + 0.941037i \(0.390147\pi\)
−0.984114 + 0.177538i \(0.943187\pi\)
\(564\) 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 0.918470 0.395492i \(-0.129426\pi\)
−0.801741 + 0.597672i \(0.796092\pi\)
\(570\) −8.76034e6 + 3.09725e6i −1.12936 + 0.399290i
\(571\) 3.24846e6 5.62649e6i 0.416953 0.722183i −0.578679 0.815556i \(-0.696431\pi\)
0.995631 + 0.0933726i \(0.0297648\pi\)
\(572\) −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 0.794261 0.607576i \(-0.207858\pi\)
−0.923307 + 0.384062i \(0.874525\pi\)
\(588\) −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 −0.861260 0.508164i \(-0.830324\pi\)
0.870713 + 0.491791i \(0.163658\pi\)
\(600\) −41910.9 35831.7i −0.00475279 0.00406340i
\(601\) 7.32908e6 + 1.26943e7i 0.827682 + 1.43359i 0.899852 + 0.436194i \(0.143674\pi\)
−0.0721708 + 0.997392i \(0.522993\pi\)
\(602\) −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 −0.774653 0.632387i \(-0.782075\pi\)
0.934989 + 0.354676i \(0.115409\pi\)
\(608\) −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 −0.776360 0.630290i \(-0.782936\pi\)
0.934027 + 0.357202i \(0.116269\pi\)
\(618\) −7.29621e6 + 2.57960e6i −0.768469 + 0.271695i
\(619\) −879493. 1.52333e6i −0.0922583 0.159796i 0.816203 0.577766i \(-0.196075\pi\)
−0.908461 + 0.417969i \(0.862742\pi\)
\(620\) −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 −0.898568 0.438835i \(-0.855391\pi\)
0.0692419 0.997600i \(-0.477942\pi\)
\(642\) −4.87533e6 4.16816e6i −0.466838 0.399123i
\(643\) −6.68107e6 + 1.15719e7i −0.637263 + 1.10377i 0.348768 + 0.937209i \(0.386600\pi\)
−0.986031 + 0.166562i \(0.946733\pi\)
\(644\) 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 −0.435608 0.900137i \(-0.643467\pi\)
0.997345 0.0728208i \(-0.0232001\pi\)
\(654\) −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 0.528081 0.849194i \(-0.322912\pi\)
−0.999464 + 0.0327344i \(0.989578\pi\)
\(660\) −1.52404e6 + 8.19997e6i −0.136187 + 0.732744i
\(661\) −1.51211e6 + 2.61905e6i −0.134611 + 0.233153i −0.925449 0.378873i \(-0.876312\pi\)
0.790838 + 0.612026i \(0.209645\pi\)
\(662\) −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 0.999634 + 0.0270524i \(0.00861210\pi\)
−0.476389 + 0.879235i \(0.658055\pi\)
\(674\) −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 0.839516 0.543334i \(-0.182838\pi\)
−0.890300 + 0.455375i \(0.849505\pi\)
\(678\) 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 0.999976 0.00694867i \(-0.00221185\pi\)
−0.506006 + 0.862530i \(0.668879\pi\)
\(692\) 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 −0.968513 0.248962i \(-0.919911\pi\)
0.268650 0.963238i \(-0.413423\pi\)
\(710\) 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 0.947548 0.319614i \(-0.103553\pi\)
−0.750568 + 0.660794i \(0.770220\pi\)
\(728\) −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 −0.383820 0.923408i \(-0.625392\pi\)
0.991605 0.129306i \(-0.0412749\pi\)
\(734\) −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 −0.860473 0.509496i \(-0.829832\pi\)
0.871473 + 0.490444i \(0.163165\pi\)
\(744\) 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 0.0922561 0.995735i \(-0.470592\pi\)
0.816204 0.577764i \(-0.196074\pi\)
\(752\) 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 −0.981182 0.193086i \(-0.938150\pi\)
0.657808 + 0.753185i \(0.271484\pi\)
\(762\) −1.63880e6 1.40109e6i −0.102244 0.0874136i
\(763\) 2.55765e6 + 4.42997e6i 0.159048 + 0.275480i
\(764\) 5.38437e6 0.333735