Properties

Label 80.6.l.a.21.3
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.3
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.62667 + 0.583586i) q^{2} +(-13.2011 + 13.2011i) q^{3} +(31.3189 - 6.56730i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(66.5744 - 81.9824i) q^{6} +190.109i q^{7} +(-172.388 + 55.2293i) q^{8} -105.540i q^{9} +O(q^{10})\) \(q+(-5.62667 + 0.583586i) q^{2} +(-13.2011 + 13.2011i) q^{3} +(31.3189 - 6.56730i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(66.5744 - 81.9824i) q^{6} +190.109i q^{7} +(-172.388 + 55.2293i) q^{8} -105.540i q^{9} +(109.783 + 89.1500i) q^{10} +(436.822 + 436.822i) q^{11} +(-326.748 + 500.140i) q^{12} +(-460.621 + 460.621i) q^{13} +(-110.945 - 1069.68i) q^{14} +466.730 q^{15} +(937.741 - 411.360i) q^{16} -541.113 q^{17} +(61.5914 + 593.836i) q^{18} +(317.998 - 317.998i) q^{19} +(-669.739 - 437.550i) q^{20} +(-2509.65 - 2509.65i) q^{21} +(-2712.78 - 2202.93i) q^{22} -2557.06i q^{23} +(1546.63 - 3004.81i) q^{24} +625.000i q^{25} +(2322.95 - 2860.58i) q^{26} +(-1814.63 - 1814.63i) q^{27} +(1248.50 + 5954.00i) q^{28} +(-690.500 + 690.500i) q^{29} +(-2626.14 + 272.377i) q^{30} -6618.22 q^{31} +(-5036.30 + 2861.84i) q^{32} -11533.1 q^{33} +(3044.66 - 315.786i) q^{34} +(3360.69 - 3360.69i) q^{35} +(-693.109 - 3305.38i) q^{36} +(2981.43 + 2981.43i) q^{37} +(-1603.69 + 1974.85i) q^{38} -12161.4i q^{39} +(4023.75 + 2071.10i) q^{40} -14704.0i q^{41} +(15585.6 + 12656.4i) q^{42} +(783.164 + 783.164i) q^{43} +(16549.5 + 10812.0i) q^{44} +(-1865.69 + 1865.69i) q^{45} +(1492.26 + 14387.7i) q^{46} +17953.6 q^{47} +(-6948.82 + 17809.7i) q^{48} -19334.5 q^{49} +(-364.741 - 3516.67i) q^{50} +(7143.30 - 7143.30i) q^{51} +(-11401.1 + 17451.2i) q^{52} +(5900.43 + 5900.43i) q^{53} +(11269.3 + 9151.35i) q^{54} -15444.0i q^{55} +(-10499.6 - 32772.6i) q^{56} +8395.88i q^{57} +(3482.25 - 4288.18i) q^{58} +(-14624.8 - 14624.8i) q^{59} +(14617.5 - 3065.16i) q^{60} +(-34636.5 + 34636.5i) q^{61} +(37238.5 - 3862.30i) q^{62} +20064.0 q^{63} +(26667.5 - 19041.8i) q^{64} +16285.4 q^{65} +(64892.8 - 6730.55i) q^{66} +(-48789.6 + 48789.6i) q^{67} +(-16947.0 + 3553.65i) q^{68} +(33756.1 + 33756.1i) q^{69} +(-16948.2 + 20870.7i) q^{70} +18965.7i q^{71} +(5828.87 + 18193.8i) q^{72} -81785.7i q^{73} +(-18515.4 - 15035.6i) q^{74} +(-8250.70 - 8250.70i) q^{75} +(7870.96 - 12047.7i) q^{76} +(-83043.8 + 83043.8i) q^{77} +(7097.25 + 68428.5i) q^{78} +27688.8 q^{79} +(-23849.0 - 9305.19i) q^{80} +73556.5 q^{81} +(8581.03 + 82734.3i) q^{82} +(40272.0 - 40272.0i) q^{83} +(-95081.1 - 62117.9i) q^{84} +(9565.61 + 9565.61i) q^{85} +(-4863.65 - 3949.56i) q^{86} -18230.7i q^{87} +(-99428.3 - 51177.6i) q^{88} +20256.6i q^{89} +(9408.85 - 11586.4i) q^{90} +(-87568.3 - 87568.3i) q^{91} +(-16793.0 - 80084.2i) q^{92} +(87368.0 - 87368.0i) q^{93} +(-101019. + 10477.5i) q^{94} -11242.9 q^{95} +(28705.2 - 104264. i) q^{96} -76865.8 q^{97} +(108789. - 11283.3i) q^{98} +(46101.9 - 46101.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.62667 + 0.583586i −0.994664 + 0.103164i
\(3\) −13.2011 + 13.2011i −0.846853 + 0.846853i −0.989739 0.142886i \(-0.954362\pi\)
0.142886 + 0.989739i \(0.454362\pi\)
\(4\) 31.3189 6.56730i 0.978714 0.205228i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) 66.5744 81.9824i 0.754969 0.929699i
\(7\) 190.109i 1.46642i 0.680003 + 0.733209i \(0.261978\pi\)
−0.680003 + 0.733209i \(0.738022\pi\)
\(8\) −172.388 + 55.2293i −0.952320 + 0.305102i
\(9\) 105.540i 0.434319i
\(10\) 109.783 + 89.1500i 0.347164 + 0.281917i
\(11\) 436.822 + 436.822i 1.08849 + 1.08849i 0.995685 + 0.0928004i \(0.0295818\pi\)
0.0928004 + 0.995685i \(0.470418\pi\)
\(12\) −326.748 + 500.140i −0.655029 + 1.00262i
\(13\) −460.621 + 460.621i −0.755937 + 0.755937i −0.975580 0.219643i \(-0.929511\pi\)
0.219643 + 0.975580i \(0.429511\pi\)
\(14\) −110.945 1069.68i −0.151282 1.45859i
\(15\) 466.730 0.535597
\(16\) 937.741 411.360i 0.915763 0.401719i
\(17\) −541.113 −0.454115 −0.227057 0.973881i \(-0.572910\pi\)
−0.227057 + 0.973881i \(0.572910\pi\)
\(18\) 61.5914 + 593.836i 0.0448063 + 0.432002i
\(19\) 317.998 317.998i 0.202088 0.202088i −0.598806 0.800894i \(-0.704358\pi\)
0.800894 + 0.598806i \(0.204358\pi\)
\(20\) −669.739 437.550i −0.374395 0.244598i
\(21\) −2509.65 2509.65i −1.24184 1.24184i
\(22\) −2712.78 2202.93i −1.19497 0.970384i
\(23\) 2557.06i 1.00791i −0.863730 0.503954i \(-0.831878\pi\)
0.863730 0.503954i \(-0.168122\pi\)
\(24\) 1546.63 3004.81i 0.548099 1.06485i
\(25\) 625.000i 0.200000i
\(26\) 2322.95 2860.58i 0.673918 0.829890i
\(27\) −1814.63 1814.63i −0.479049 0.479049i
\(28\) 1248.50 + 5954.00i 0.300950 + 1.43520i
\(29\) −690.500 + 690.500i −0.152464 + 0.152464i −0.779218 0.626753i \(-0.784383\pi\)
0.626753 + 0.779218i \(0.284383\pi\)
\(30\) −2626.14 + 272.377i −0.532739 + 0.0552545i
\(31\) −6618.22 −1.23691 −0.618453 0.785821i \(-0.712240\pi\)
−0.618453 + 0.785821i \(0.712240\pi\)
\(32\) −5036.30 + 2861.84i −0.869434 + 0.494050i
\(33\) −11533.1 −1.84357
\(34\) 3044.66 315.786i 0.451692 0.0468485i
\(35\) 3360.69 3360.69i 0.463722 0.463722i
\(36\) −693.109 3305.38i −0.0891344 0.425074i
\(37\) 2981.43 + 2981.43i 0.358031 + 0.358031i 0.863087 0.505056i \(-0.168528\pi\)
−0.505056 + 0.863087i \(0.668528\pi\)
\(38\) −1603.69 + 1974.85i −0.180162 + 0.221858i
\(39\) 12161.4i 1.28034i
\(40\) 4023.75 + 2071.10i 0.397632 + 0.204668i
\(41\) 14704.0i 1.36608i −0.730383 0.683038i \(-0.760658\pi\)
0.730383 0.683038i \(-0.239342\pi\)
\(42\) 15585.6 + 12656.4i 1.36333 + 1.10710i
\(43\) 783.164 + 783.164i 0.0645924 + 0.0645924i 0.738665 0.674073i \(-0.235457\pi\)
−0.674073 + 0.738665i \(0.735457\pi\)
\(44\) 16549.5 + 10812.0i 1.28870 + 0.841928i
\(45\) −1865.69 + 1865.69i −0.137344 + 0.137344i
\(46\) 1492.26 + 14387.7i 0.103980 + 1.00253i
\(47\) 17953.6 1.18551 0.592757 0.805381i \(-0.298039\pi\)
0.592757 + 0.805381i \(0.298039\pi\)
\(48\) −6948.82 + 17809.7i −0.435319 + 1.11571i
\(49\) −19334.5 −1.15038
\(50\) −364.741 3516.67i −0.0206329 0.198933i
\(51\) 7143.30 7143.30i 0.384568 0.384568i
\(52\) −11401.1 + 17451.2i −0.584707 + 0.894986i
\(53\) 5900.43 + 5900.43i 0.288532 + 0.288532i 0.836500 0.547967i \(-0.184598\pi\)
−0.547967 + 0.836500i \(0.684598\pi\)
\(54\) 11269.3 + 9151.35i 0.525913 + 0.427072i
\(55\) 15444.0i 0.688418i
\(56\) −10499.6 32772.6i −0.447406 1.39650i
\(57\) 8395.88i 0.342278i
\(58\) 3482.25 4288.18i 0.135922 0.167380i
\(59\) −14624.8 14624.8i −0.546966 0.546966i 0.378596 0.925562i \(-0.376407\pi\)
−0.925562 + 0.378596i \(0.876407\pi\)
\(60\) 14617.5 3065.16i 0.524196 0.109919i
\(61\) −34636.5 + 34636.5i −1.19182 + 1.19182i −0.215262 + 0.976556i \(0.569060\pi\)
−0.976556 + 0.215262i \(0.930940\pi\)
\(62\) 37238.5 3862.30i 1.23031 0.127605i
\(63\) 20064.0 0.636893
\(64\) 26667.5 19041.8i 0.813826 0.581108i
\(65\) 16285.4 0.478097
\(66\) 64892.8 6730.55i 1.83374 0.190191i
\(67\) −48789.6 + 48789.6i −1.32782 + 1.32782i −0.420559 + 0.907265i \(0.638166\pi\)
−0.907265 + 0.420559i \(0.861834\pi\)
\(68\) −16947.0 + 3553.65i −0.444448 + 0.0931970i
\(69\) 33756.1 + 33756.1i 0.853550 + 0.853550i
\(70\) −16948.2 + 20870.7i −0.413408 + 0.509088i
\(71\) 18965.7i 0.446502i 0.974761 + 0.223251i \(0.0716669\pi\)
−0.974761 + 0.223251i \(0.928333\pi\)
\(72\) 5828.87 + 18193.8i 0.132511 + 0.413611i
\(73\) 81785.7i 1.79626i −0.439726 0.898132i \(-0.644924\pi\)
0.439726 0.898132i \(-0.355076\pi\)
\(74\) −18515.4 15035.6i −0.393056 0.319184i
\(75\) −8250.70 8250.70i −0.169371 0.169371i
\(76\) 7870.96 12047.7i 0.156312 0.239261i
\(77\) −83043.8 + 83043.8i −1.59617 + 1.59617i
\(78\) 7097.25 + 68428.5i 0.132085 + 1.27350i
\(79\) 27688.8 0.499156 0.249578 0.968355i \(-0.419708\pi\)
0.249578 + 0.968355i \(0.419708\pi\)
\(80\) −23849.0 9305.19i −0.416624 0.162555i
\(81\) 73556.5 1.24569
\(82\) 8581.03 + 82734.3i 0.140930 + 1.35879i
\(83\) 40272.0 40272.0i 0.641665 0.641665i −0.309300 0.950965i \(-0.600095\pi\)
0.950965 + 0.309300i \(0.100095\pi\)
\(84\) −95081.1 62117.9i −1.47027 0.960546i
\(85\) 9565.61 + 9565.61i 0.143604 + 0.143604i
\(86\) −4863.65 3949.56i −0.0709114 0.0575841i
\(87\) 18230.7i 0.258230i
\(88\) −99428.3 51177.6i −1.36868 0.704487i
\(89\) 20256.6i 0.271076i 0.990772 + 0.135538i \(0.0432764\pi\)
−0.990772 + 0.135538i \(0.956724\pi\)
\(90\) 9408.85 11586.4i 0.122442 0.150780i
\(91\) −87568.3 87568.3i −1.10852 1.10852i
\(92\) −16793.0 80084.2i −0.206851 0.986454i
\(93\) 87368.0 87368.0i 1.04748 1.04748i
\(94\) −101019. + 10477.5i −1.17919 + 0.122303i
\(95\) −11242.9 −0.127812
\(96\) 28705.2 104264.i 0.317895 1.15467i
\(97\) −76865.8 −0.829476 −0.414738 0.909941i \(-0.636127\pi\)
−0.414738 + 0.909941i \(0.636127\pi\)
\(98\) 108789. 11283.3i 1.14424 0.118679i
\(99\) 46101.9 46101.9i 0.472750 0.472750i
\(100\) 4104.56 + 19574.3i 0.0410456 + 0.195743i
\(101\) −11615.5 11615.5i −0.113301 0.113301i 0.648183 0.761484i \(-0.275529\pi\)
−0.761484 + 0.648183i \(0.775529\pi\)
\(102\) −36024.3 + 44361.7i −0.342842 + 0.422190i
\(103\) 210790.i 1.95775i −0.204454 0.978876i \(-0.565542\pi\)
0.204454 0.978876i \(-0.434458\pi\)
\(104\) 53966.0 104846.i 0.489257 0.950532i
\(105\) 88729.7i 0.785409i
\(106\) −36643.2 29756.4i −0.316759 0.257226i
\(107\) 138862. + 138862.i 1.17253 + 1.17253i 0.981605 + 0.190922i \(0.0611478\pi\)
0.190922 + 0.981605i \(0.438852\pi\)
\(108\) −68749.5 44915.0i −0.567166 0.370537i
\(109\) −98758.1 + 98758.1i −0.796171 + 0.796171i −0.982489 0.186318i \(-0.940344\pi\)
0.186318 + 0.982489i \(0.440344\pi\)
\(110\) 9012.90 + 86898.2i 0.0710203 + 0.684745i
\(111\) −78716.4 −0.606398
\(112\) 78203.4 + 178273.i 0.589088 + 1.34289i
\(113\) −68434.7 −0.504174 −0.252087 0.967705i \(-0.581117\pi\)
−0.252087 + 0.967705i \(0.581117\pi\)
\(114\) −4899.72 47240.8i −0.0353109 0.340452i
\(115\) −45202.8 + 45202.8i −0.318729 + 0.318729i
\(116\) −17090.9 + 26160.4i −0.117929 + 0.180509i
\(117\) 48613.8 + 48613.8i 0.328318 + 0.328318i
\(118\) 90823.8 + 73754.1i 0.600475 + 0.487620i
\(119\) 102870.i 0.665922i
\(120\) −80458.8 + 25777.2i −0.510059 + 0.163411i
\(121\) 220575.i 1.36960i
\(122\) 174675. 215102.i 1.06251 1.30841i
\(123\) 194109. + 194109.i 1.15686 + 1.15686i
\(124\) −207275. + 43463.8i −1.21058 + 0.253848i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) −112894. + 11709.1i −0.633495 + 0.0657047i
\(127\) 186051. 1.02358 0.511791 0.859110i \(-0.328982\pi\)
0.511791 + 0.859110i \(0.328982\pi\)
\(128\) −138936. + 122704.i −0.749534 + 0.661966i
\(129\) −20677.3 −0.109401
\(130\) −91632.8 + 9503.95i −0.475546 + 0.0493226i
\(131\) 264913. 264913.i 1.34873 1.34873i 0.461685 0.887044i \(-0.347245\pi\)
0.887044 0.461685i \(-0.152755\pi\)
\(132\) −361203. + 75741.1i −1.80433 + 0.378353i
\(133\) 60454.4 + 60454.4i 0.296346 + 0.296346i
\(134\) 246050. 302996.i 1.18375 1.45772i
\(135\) 64157.0i 0.302977i
\(136\) 93281.5 29885.3i 0.432462 0.138551i
\(137\) 188083.i 0.856148i −0.903744 0.428074i \(-0.859192\pi\)
0.903744 0.428074i \(-0.140808\pi\)
\(138\) −209634. 170235.i −0.937052 0.760940i
\(139\) 261616. + 261616.i 1.14849 + 1.14849i 0.986850 + 0.161638i \(0.0516778\pi\)
0.161638 + 0.986850i \(0.448322\pi\)
\(140\) 83182.2 127323.i 0.358683 0.549020i
\(141\) −237008. + 237008.i −1.00396 + 1.00396i
\(142\) −11068.1 106714.i −0.0460631 0.444119i
\(143\) −402419. −1.64565
\(144\) −43414.8 98968.7i −0.174474 0.397733i
\(145\) 24412.8 0.0964270
\(146\) 47729.0 + 460181.i 0.185311 + 1.78668i
\(147\) 255237. 255237.i 0.974204 0.974204i
\(148\) 112955. + 73795.0i 0.423887 + 0.276932i
\(149\) −224725. 224725.i −0.829251 0.829251i 0.158162 0.987413i \(-0.449443\pi\)
−0.987413 + 0.158162i \(0.949443\pi\)
\(150\) 51239.0 + 41609.0i 0.185940 + 0.150994i
\(151\) 2888.53i 0.0103094i 0.999987 + 0.00515471i \(0.00164080\pi\)
−0.999987 + 0.00515471i \(0.998359\pi\)
\(152\) −37256.4 + 72382.0i −0.130795 + 0.254110i
\(153\) 57108.8i 0.197231i
\(154\) 418797. 515723.i 1.42299 1.75233i
\(155\) 116995. + 116995.i 0.391144 + 0.391144i
\(156\) −79867.8 380883.i −0.262761 1.25308i
\(157\) −307992. + 307992.i −0.997217 + 0.997217i −0.999996 0.00277909i \(-0.999115\pi\)
0.00277909 + 0.999996i \(0.499115\pi\)
\(158\) −155796. + 16158.8i −0.496493 + 0.0514952i
\(159\) −155785. −0.488689
\(160\) 139621. + 38439.3i 0.431171 + 0.118707i
\(161\) 486120. 1.47802
\(162\) −413878. + 42926.6i −1.23904 + 0.128511i
\(163\) 59729.4 59729.4i 0.176084 0.176084i −0.613563 0.789646i \(-0.710264\pi\)
0.789646 + 0.613563i \(0.210264\pi\)
\(164\) −96565.3 460511.i −0.280357 1.33700i
\(165\) 203878. + 203878.i 0.582989 + 0.582989i
\(166\) −203095. + 250100.i −0.572044 + 0.704438i
\(167\) 630406.i 1.74916i 0.484883 + 0.874579i \(0.338862\pi\)
−0.484883 + 0.874579i \(0.661138\pi\)
\(168\) 571241. + 294029.i 1.56152 + 0.803742i
\(169\) 53051.3i 0.142883i
\(170\) −59404.9 48240.2i −0.157652 0.128023i
\(171\) −33561.4 33561.4i −0.0877707 0.0877707i
\(172\) 29671.1 + 19384.5i 0.0764737 + 0.0499614i
\(173\) −56816.7 + 56816.7i −0.144331 + 0.144331i −0.775580 0.631249i \(-0.782543\pi\)
0.631249 + 0.775580i \(0.282543\pi\)
\(174\) 10639.2 + 102578.i 0.0266401 + 0.256852i
\(175\) −118818. −0.293284
\(176\) 589317. + 229935.i 1.43406 + 0.559529i
\(177\) 386128. 0.926399
\(178\) −11821.5 113977.i −0.0279655 0.269630i
\(179\) −4976.81 + 4976.81i −0.0116096 + 0.0116096i −0.712888 0.701278i \(-0.752613\pi\)
0.701278 + 0.712888i \(0.252613\pi\)
\(180\) −46178.8 + 70683.9i −0.106233 + 0.162607i
\(181\) 197629. + 197629.i 0.448388 + 0.448388i 0.894818 0.446430i \(-0.147305\pi\)
−0.446430 + 0.894818i \(0.647305\pi\)
\(182\) 543822. + 441615.i 1.21697 + 0.988246i
\(183\) 914483.i 2.01859i
\(184\) 141225. + 440807.i 0.307514 + 0.959851i
\(185\) 105409.i 0.226438i
\(186\) −440604. + 542578.i −0.933826 + 1.14995i
\(187\) −236370. 236370.i −0.494297 0.494297i
\(188\) 562286. 117907.i 1.16028 0.243301i
\(189\) 344978. 344978.i 0.702485 0.702485i
\(190\) 63260.3 6561.23i 0.127130 0.0131856i
\(191\) −669691. −1.32828 −0.664142 0.747606i \(-0.731203\pi\)
−0.664142 + 0.747606i \(0.731203\pi\)
\(192\) −100668. + 603413.i −0.197078 + 1.18130i
\(193\) −293474. −0.567122 −0.283561 0.958954i \(-0.591516\pi\)
−0.283561 + 0.958954i \(0.591516\pi\)
\(194\) 432499. 44857.8i 0.825050 0.0855725i
\(195\) −214986. + 214986.i −0.404878 + 0.404878i
\(196\) −605534. + 126975.i −1.12590 + 0.236091i
\(197\) −483401. 483401.i −0.887445 0.887445i 0.106832 0.994277i \(-0.465929\pi\)
−0.994277 + 0.106832i \(0.965929\pi\)
\(198\) −232496. + 286305.i −0.421456 + 0.518998i
\(199\) 617351.i 1.10509i 0.833482 + 0.552547i \(0.186344\pi\)
−0.833482 + 0.552547i \(0.813656\pi\)
\(200\) −34518.3 107743.i −0.0610203 0.190464i
\(201\) 1.28816e6i 2.24894i
\(202\) 72135.3 + 58578.0i 0.124385 + 0.101008i
\(203\) −131270. 131270.i −0.223577 0.223577i
\(204\) 176808. 270632.i 0.297458 0.455306i
\(205\) −259932. + 259932.i −0.431991 + 0.431991i
\(206\) 123014. + 1.18605e6i 0.201970 + 1.94731i
\(207\) −269871. −0.437754
\(208\) −242462. + 621425.i −0.388585 + 0.995934i
\(209\) 277817. 0.439940
\(210\) −51781.4 499253.i −0.0810263 0.781218i
\(211\) −460653. + 460653.i −0.712308 + 0.712308i −0.967018 0.254710i \(-0.918020\pi\)
0.254710 + 0.967018i \(0.418020\pi\)
\(212\) 223545. + 146045.i 0.341606 + 0.223176i
\(213\) −250369. 250369.i −0.378121 0.378121i
\(214\) −862367. 700291.i −1.28723 1.04531i
\(215\) 27689.0i 0.0408518i
\(216\) 413042. + 212601.i 0.602366 + 0.310049i
\(217\) 1.25818e6i 1.81382i
\(218\) 498045. 613313.i 0.709787 0.874060i
\(219\) 1.07966e6 + 1.07966e6i 1.52117 + 1.52117i
\(220\) −101425. 483688.i −0.141283 0.673765i
\(221\) 249248. 249248.i 0.343282 0.343282i
\(222\) 442911. 45937.8i 0.603163 0.0625587i
\(223\) −1.15488e6 −1.55516 −0.777579 0.628786i \(-0.783552\pi\)
−0.777579 + 0.628786i \(0.783552\pi\)
\(224\) −544062. 957446.i −0.724484 1.27495i
\(225\) 65962.2 0.0868638
\(226\) 385060. 39937.6i 0.501484 0.0520128i
\(227\) 148238. 148238.i 0.190939 0.190939i −0.605163 0.796102i \(-0.706892\pi\)
0.796102 + 0.605163i \(0.206892\pi\)
\(228\) 55138.2 + 262949.i 0.0702450 + 0.334992i
\(229\) 58454.7 + 58454.7i 0.0736599 + 0.0736599i 0.742977 0.669317i \(-0.233413\pi\)
−0.669317 + 0.742977i \(0.733413\pi\)
\(230\) 227962. 280721.i 0.284147 0.349910i
\(231\) 2.19254e6i 2.70345i
\(232\) 80898.3 157170.i 0.0986778 0.191712i
\(233\) 546820.i 0.659864i −0.944005 0.329932i \(-0.892974\pi\)
0.944005 0.329932i \(-0.107026\pi\)
\(234\) −301904. 245163.i −0.360437 0.292695i
\(235\) −317378. 317378.i −0.374892 0.374892i
\(236\) −554078. 361987.i −0.647576 0.423070i
\(237\) −365523. + 365523.i −0.422712 + 0.422712i
\(238\) 60033.8 + 578818.i 0.0686995 + 0.662369i
\(239\) −1.20909e6 −1.36919 −0.684594 0.728925i \(-0.740020\pi\)
−0.684594 + 0.728925i \(0.740020\pi\)
\(240\) 437672. 191994.i 0.490480 0.215159i
\(241\) 10734.0 0.0119047 0.00595236 0.999982i \(-0.498105\pi\)
0.00595236 + 0.999982i \(0.498105\pi\)
\(242\) −128725. 1.24111e6i −0.141294 1.36229i
\(243\) −530073. + 530073.i −0.575864 + 0.575864i
\(244\) −857308. + 1.31225e6i −0.921855 + 1.41104i
\(245\) 341788. + 341788.i 0.363783 + 0.363783i
\(246\) −1.20547e6 978907.i −1.27004 1.03134i
\(247\) 292954.i 0.305532i
\(248\) 1.14090e6 365519.i 1.17793 0.377382i
\(249\) 1.06327e6i 1.08679i
\(250\) −55718.7 + 68614.3i −0.0563834 + 0.0694328i
\(251\) 290458. + 290458.i 0.291004 + 0.291004i 0.837477 0.546473i \(-0.184030\pi\)
−0.546473 + 0.837477i \(0.684030\pi\)
\(252\) 628382. 131766.i 0.623336 0.130708i
\(253\) 1.11698e6 1.11698e6i 1.09709 1.09709i
\(254\) −1.04685e6 + 108577.i −1.01812 + 0.105597i
\(255\) −252554. −0.243222
\(256\) 710141. 771499.i 0.677243 0.735759i
\(257\) −355570. −0.335809 −0.167904 0.985803i \(-0.553700\pi\)
−0.167904 + 0.985803i \(0.553700\pi\)
\(258\) 116344. 12067.0i 0.108817 0.0112862i
\(259\) −566797. + 566797.i −0.525022 + 0.525022i
\(260\) 510041. 106951.i 0.467920 0.0981189i
\(261\) 72875.0 + 72875.0i 0.0662182 + 0.0662182i
\(262\) −1.33598e6 + 1.64518e6i −1.20239 + 1.48067i
\(263\) 1.59192e6i 1.41916i 0.704623 + 0.709582i \(0.251116\pi\)
−0.704623 + 0.709582i \(0.748884\pi\)
\(264\) 1.98817e6 636964.i 1.75567 0.562477i
\(265\) 208612.i 0.182484i
\(266\) −375437. 304877.i −0.325337 0.264192i
\(267\) −267410. 267410.i −0.229562 0.229562i
\(268\) −1.20762e6 + 1.84845e6i −1.02705 + 1.57207i
\(269\) −1.42217e6 + 1.42217e6i −1.19831 + 1.19831i −0.223642 + 0.974671i \(0.571795\pi\)
−0.974671 + 0.223642i \(0.928205\pi\)
\(270\) −37441.1 360990.i −0.0312564 0.301360i
\(271\) 1.19243e6 0.986300 0.493150 0.869944i \(-0.335845\pi\)
0.493150 + 0.869944i \(0.335845\pi\)
\(272\) −507424. + 222592.i −0.415861 + 0.182427i
\(273\) 2.31200e6 1.87751
\(274\) 109763. + 1.05828e6i 0.0883241 + 0.851580i
\(275\) −273014. + 273014.i −0.217697 + 0.217697i
\(276\) 1.27889e6 + 835515.i 1.01055 + 0.660209i
\(277\) 532826. + 532826.i 0.417240 + 0.417240i 0.884251 0.467011i \(-0.154669\pi\)
−0.467011 + 0.884251i \(0.654669\pi\)
\(278\) −1.62470e6 1.31935e6i −1.26084 1.02388i
\(279\) 698484.i 0.537212i
\(280\) −393735. + 764951.i −0.300129 + 0.583094i
\(281\) 115327.i 0.0871296i 0.999051 + 0.0435648i \(0.0138715\pi\)
−0.999051 + 0.0435648i \(0.986129\pi\)
\(282\) 1.19525e6 1.47188e6i 0.895026 1.10217i
\(283\) 169009. + 169009.i 0.125442 + 0.125442i 0.767041 0.641598i \(-0.221728\pi\)
−0.641598 + 0.767041i \(0.721728\pi\)
\(284\) 124553. + 593984.i 0.0916347 + 0.436998i
\(285\) 148420. 148420.i 0.108238 0.108238i
\(286\) 2.26428e6 234846.i 1.63687 0.169773i
\(287\) 2.79536e6 2.00324
\(288\) 302037. + 531528.i 0.214575 + 0.377611i
\(289\) −1.12705e6 −0.793780
\(290\) −137363. + 14247.0i −0.0959124 + 0.00994784i
\(291\) 1.01472e6 1.01472e6i 0.702444 0.702444i
\(292\) −537111. 2.56143e6i −0.368644 1.75803i
\(293\) −170154. 170154.i −0.115791 0.115791i 0.646837 0.762628i \(-0.276091\pi\)
−0.762628 + 0.646837i \(0.776091\pi\)
\(294\) −1.28718e6 + 1.58509e6i −0.868503 + 1.06951i
\(295\) 517065.i 0.345932i
\(296\) −678625. 349301.i −0.450195 0.231724i
\(297\) 1.58534e6i 1.04287i
\(298\) 1.39560e6 + 1.13331e6i 0.910375 + 0.739277i
\(299\) 1.17784e6 + 1.17784e6i 0.761916 + 0.761916i
\(300\) −312587. 204218.i −0.200525 0.131006i
\(301\) −148887. + 148887.i −0.0947195 + 0.0947195i
\(302\) −1685.71 16252.8i −0.00106357 0.0102544i
\(303\) 306675. 0.191899
\(304\) 167388. 429012.i 0.103882 0.266248i
\(305\) 1.22459e6 0.753772
\(306\) −33327.9 321332.i −0.0203472 0.196178i
\(307\) −778959. + 778959.i −0.471703 + 0.471703i −0.902465 0.430762i \(-0.858245\pi\)
0.430762 + 0.902465i \(0.358245\pi\)
\(308\) −2.05546e6 + 3.14621e6i −1.23462 + 1.88978i
\(309\) 2.78267e6 + 2.78267e6i 1.65793 + 1.65793i
\(310\) −726567. 590014.i −0.429409 0.348705i
\(311\) 1.12014e6i 0.656705i 0.944555 + 0.328352i \(0.106493\pi\)
−0.944555 + 0.328352i \(0.893507\pi\)
\(312\) 671668. + 2.09649e6i 0.390632 + 1.21929i
\(313\) 3.38921e6i 1.95541i −0.209980 0.977706i \(-0.567340\pi\)
0.209980 0.977706i \(-0.432660\pi\)
\(314\) 1.55323e6 1.91271e6i 0.889019 1.09477i
\(315\) −354685. 354685.i −0.201403 0.201403i
\(316\) 867182. 181841.i 0.488531 0.102441i
\(317\) −1.30797e6 + 1.30797e6i −0.731054 + 0.731054i −0.970829 0.239774i \(-0.922927\pi\)
0.239774 + 0.970829i \(0.422927\pi\)
\(318\) 876550. 90913.9i 0.486081 0.0504153i
\(319\) −603250. −0.331910
\(320\) −808032. 134804.i −0.441117 0.0735918i
\(321\) −3.66626e6 −1.98592
\(322\) −2.73524e6 + 283693.i −1.47013 + 0.152479i
\(323\) −172073. + 172073.i −0.0917712 + 0.0917712i
\(324\) 2.30371e6 483067.i 1.21917 0.255650i
\(325\) −287888. 287888.i −0.151187 0.151187i
\(326\) −301220. + 370935.i −0.156978 + 0.193310i
\(327\) 2.60744e6i 1.34848i
\(328\) 812089. + 2.53479e6i 0.416792 + 1.30094i
\(329\) 3.41314e6i 1.73846i
\(330\) −1.26613e6 1.02817e6i −0.640022 0.519735i
\(331\) 2.48446e6 + 2.48446e6i 1.24641 + 1.24641i 0.957293 + 0.289121i \(0.0933630\pi\)
0.289121 + 0.957293i \(0.406637\pi\)
\(332\) 996796. 1.52575e6i 0.496319 0.759694i
\(333\) 314658. 314658.i 0.155499 0.155499i
\(334\) −367896. 3.54709e6i −0.180451 1.73983i
\(335\) 1.72497e6 0.839790
\(336\) −3.38578e6 1.32103e6i −1.63610 0.638360i
\(337\) 2.04358e6 0.980206 0.490103 0.871665i \(-0.336959\pi\)
0.490103 + 0.871665i \(0.336959\pi\)
\(338\) 30960.0 + 298502.i 0.0147404 + 0.142120i
\(339\) 903415. 903415.i 0.426961 0.426961i
\(340\) 362404. + 236764.i 0.170018 + 0.111075i
\(341\) −2.89098e6 2.89098e6i −1.34635 1.34635i
\(342\) 208425. + 169253.i 0.0963572 + 0.0782476i
\(343\) 480496.i 0.220523i
\(344\) −178262. 91754.7i −0.0812199 0.0418054i
\(345\) 1.19346e6i 0.539833i
\(346\) 286531. 352846.i 0.128671 0.158451i
\(347\) −1.42726e6 1.42726e6i −0.636325 0.636325i 0.313322 0.949647i \(-0.398558\pi\)
−0.949647 + 0.313322i \(0.898558\pi\)
\(348\) −119727. 570966.i −0.0529960 0.252733i
\(349\) 1.77197e6 1.77197e6i 0.778739 0.778739i −0.200877 0.979616i \(-0.564379\pi\)
0.979616 + 0.200877i \(0.0643792\pi\)
\(350\) 668551. 69340.7i 0.291719 0.0302564i
\(351\) 1.67172e6 0.724261
\(352\) −3.45008e6 949849.i −1.48413 0.408599i
\(353\) 836162. 0.357153 0.178576 0.983926i \(-0.442851\pi\)
0.178576 + 0.983926i \(0.442851\pi\)
\(354\) −2.17261e6 + 225339.i −0.921456 + 0.0955714i
\(355\) 335270. 335270.i 0.141196 0.141196i
\(356\) 133031. + 634414.i 0.0556325 + 0.265306i
\(357\) 1.35801e6 + 1.35801e6i 0.563938 + 0.563938i
\(358\) 25098.5 30907.3i 0.0103500 0.0127454i
\(359\) 802370.i 0.328578i −0.986412 0.164289i \(-0.947467\pi\)
0.986412 0.164289i \(-0.0525330\pi\)
\(360\) 218583. 424664.i 0.0888914 0.172699i
\(361\) 2.27385e6i 0.918321i
\(362\) −1.22733e6 996659.i −0.492253 0.399738i
\(363\) −2.91184e6 2.91184e6i −1.15985 1.15985i
\(364\) −3.31763e6 2.16745e6i −1.31242 0.857425i
\(365\) −1.44578e6 + 1.44578e6i −0.568029 + 0.568029i
\(366\) 533680. + 5.14549e6i 0.208247 + 2.00782i
\(367\) −158829. −0.0615550 −0.0307775 0.999526i \(-0.509798\pi\)
−0.0307775 + 0.999526i \(0.509798\pi\)
\(368\) −1.05187e6 2.39786e6i −0.404896 0.923005i
\(369\) −1.55185e6 −0.593312
\(370\) 61515.5 + 593104.i 0.0233604 + 0.225230i
\(371\) −1.12173e6 + 1.12173e6i −0.423109 + 0.423109i
\(372\) 2.16249e6 3.31004e6i 0.810210 1.24015i
\(373\) 719302. + 719302.i 0.267694 + 0.267694i 0.828171 0.560476i \(-0.189382\pi\)
−0.560476 + 0.828171i \(0.689382\pi\)
\(374\) 1.46792e6 + 1.19203e6i 0.542653 + 0.440666i
\(375\) 291706.i 0.107119i
\(376\) −3.09499e6 + 991564.i −1.12899 + 0.361702i
\(377\) 636118.i 0.230507i
\(378\) −1.73976e6 + 2.14240e6i −0.626266 + 0.771209i
\(379\) −733349. 733349.i −0.262248 0.262248i 0.563719 0.825967i \(-0.309370\pi\)
−0.825967 + 0.563719i \(0.809370\pi\)
\(380\) −352116. + 73835.7i −0.125091 + 0.0262306i
\(381\) −2.45608e6 + 2.45608e6i −0.866824 + 0.866824i
\(382\) 3.76813e6 390823.i 1.32120 0.137032i
\(383\) −3.53928e6 −1.23287 −0.616435 0.787406i \(-0.711424\pi\)
−0.616435 + 0.787406i \(0.711424\pi\)
\(384\) 214280. 3.45396e6i 0.0741574 1.19533i
\(385\) 2.93604e6 1.00951
\(386\) 1.65128e6 171268.i 0.564096 0.0585069i
\(387\) 82654.7 82654.7i 0.0280537 0.0280537i
\(388\) −2.40735e6 + 504801.i −0.811820 + 0.170232i
\(389\) −467653. 467653.i −0.156693 0.156693i 0.624407 0.781100i \(-0.285341\pi\)
−0.781100 + 0.624407i \(0.785341\pi\)
\(390\) 1.08419e6 1.33512e6i 0.360948 0.444486i
\(391\) 1.38366e6i 0.457706i
\(392\) 3.33304e6 1.06783e6i 1.09553 0.350983i
\(393\) 6.99430e6i 2.28435i
\(394\) 3.00204e6 + 2.43783e6i 0.974263 + 0.791157i
\(395\) −489474. 489474.i −0.157847 0.157847i
\(396\) 1.14109e6 1.74663e6i 0.365665 0.559708i
\(397\) 1.28300e6 1.28300e6i 0.408555 0.408555i −0.472680 0.881234i \(-0.656713\pi\)
0.881234 + 0.472680i \(0.156713\pi\)
\(398\) −360277. 3.47363e6i −0.114006 1.09920i
\(399\) −1.59613e6 −0.501923
\(400\) 257100. + 586088.i 0.0803438 + 0.183153i
\(401\) −1.16341e6 −0.361304 −0.180652 0.983547i \(-0.557821\pi\)
−0.180652 + 0.983547i \(0.557821\pi\)
\(402\) 751750. + 7.24803e6i 0.232011 + 2.23694i
\(403\) 3.04849e6 3.04849e6i 0.935024 0.935024i
\(404\) −440067. 287502.i −0.134142 0.0876369i
\(405\) −1.30031e6 1.30031e6i −0.393921 0.393921i
\(406\) 815222. + 662007.i 0.245449 + 0.199318i
\(407\) 2.60470e6i 0.779422i
\(408\) −836902. + 1.62594e6i −0.248900 + 0.483564i
\(409\) 2.33520e6i 0.690266i 0.938554 + 0.345133i \(0.112166\pi\)
−0.938554 + 0.345133i \(0.887834\pi\)
\(410\) 1.31086e6 1.61424e6i 0.385120 0.474252i
\(411\) 2.48291e6 + 2.48291e6i 0.725032 + 0.725032i
\(412\) −1.38432e6 6.60171e6i −0.401786 1.91608i
\(413\) 2.78031e6 2.78031e6i 0.802081 0.802081i
\(414\) 1.51847e6 157493.i 0.435418 0.0451606i
\(415\) −1.42383e6 −0.405825
\(416\) 1.00160e6 3.63805e6i 0.283767 1.03071i
\(417\) −6.90724e6 −1.94520
\(418\) −1.56319e6 + 162130.i −0.437593 + 0.0453862i
\(419\) 591682. 591682.i 0.164647 0.164647i −0.619975 0.784622i \(-0.712857\pi\)
0.784622 + 0.619975i \(0.212857\pi\)
\(420\) 582714. + 2.77891e6i 0.161188 + 0.768691i
\(421\) −463532. 463532.i −0.127460 0.127460i 0.640499 0.767959i \(-0.278728\pi\)
−0.767959 + 0.640499i \(0.778728\pi\)
\(422\) 2.32311e6 2.86077e6i 0.635022 0.781992i
\(423\) 1.89481e6i 0.514891i
\(424\) −1.34304e6 691289.i −0.362807 0.186743i
\(425\) 338195.i 0.0908229i
\(426\) 1.55485e6 + 1.26263e6i 0.415112 + 0.337095i
\(427\) −6.58472e6 6.58472e6i −1.74770 1.74770i
\(428\) 5.26093e6 + 3.43704e6i 1.38820 + 0.906934i
\(429\) 5.31238e6 5.31238e6i 1.39363 1.39363i
\(430\) 16158.9 + 155797.i 0.00421446 + 0.0406339i
\(431\) −2.47706e6 −0.642309 −0.321154 0.947027i \(-0.604071\pi\)
−0.321154 + 0.947027i \(0.604071\pi\)
\(432\) −2.44812e6 955188.i −0.631138 0.246252i
\(433\) 3.94915e6 1.01224 0.506120 0.862463i \(-0.331079\pi\)
0.506120 + 0.862463i \(0.331079\pi\)
\(434\) 734259. + 7.07939e6i 0.187122 + 1.80414i
\(435\) −322277. + 322277.i −0.0816594 + 0.0816594i
\(436\) −2.44442e6 + 3.74156e6i −0.615827 + 0.942621i
\(437\) −813141. 813141.i −0.203686 0.203686i
\(438\) −6.70499e6 5.44483e6i −1.66999 1.35612i
\(439\) 2.57617e6i 0.637990i −0.947756 0.318995i \(-0.896655\pi\)
0.947756 0.318995i \(-0.103345\pi\)
\(440\) 852960. + 2.66236e6i 0.210038 + 0.655595i
\(441\) 2.04055e6i 0.499633i
\(442\) −1.25698e6 + 1.54790e6i −0.306036 + 0.376865i
\(443\) −1.36521e6 1.36521e6i −0.330514 0.330514i 0.522268 0.852782i \(-0.325086\pi\)
−0.852782 + 0.522268i \(0.825086\pi\)
\(444\) −2.46531e6 + 516954.i −0.593491 + 0.124450i
\(445\) 358090. 358090.i 0.0857219 0.0857219i
\(446\) 6.49813e6 673972.i 1.54686 0.160437i
\(447\) 5.93325e6 1.40451
\(448\) 3.62001e6 + 5.06973e6i 0.852148 + 1.19341i
\(449\) −3.34712e6 −0.783531 −0.391765 0.920065i \(-0.628136\pi\)
−0.391765 + 0.920065i \(0.628136\pi\)
\(450\) −371148. + 38494.6i −0.0864003 + 0.00896126i
\(451\) 6.42301e6 6.42301e6i 1.48695 1.48695i
\(452\) −2.14330e6 + 449431.i −0.493442 + 0.103471i
\(453\) −38131.8 38131.8i −0.00873056 0.00873056i
\(454\) −747575. + 920593.i −0.170222 + 0.209618i
\(455\) 3.09601e6i 0.701090i
\(456\) −463698. 1.44735e6i −0.104430 0.325958i
\(457\) 7.96562e6i 1.78414i 0.451898 + 0.892070i \(0.350747\pi\)
−0.451898 + 0.892070i \(0.649253\pi\)
\(458\) −363019. 294792.i −0.0808659 0.0656678i
\(459\) 981921. + 981921.i 0.217543 + 0.217543i
\(460\) −1.11884e6 + 1.71256e6i −0.246532 + 0.377356i
\(461\) −2.11325e6 + 2.11325e6i −0.463126 + 0.463126i −0.899679 0.436553i \(-0.856199\pi\)
0.436553 + 0.899679i \(0.356199\pi\)
\(462\) 1.27954e6 + 1.23367e7i 0.278900 + 2.68902i
\(463\) −1.33400e6 −0.289204 −0.144602 0.989490i \(-0.546190\pi\)
−0.144602 + 0.989490i \(0.546190\pi\)
\(464\) −363466. + 931554.i −0.0783734 + 0.200869i
\(465\) −3.08892e6 −0.662483
\(466\) 319117. + 3.07678e6i 0.0680745 + 0.656343i
\(467\) 1.89907e6 1.89907e6i 0.402948 0.402948i −0.476323 0.879270i \(-0.658031\pi\)
0.879270 + 0.476323i \(0.158031\pi\)
\(468\) 1.84179e6 + 1.20327e6i 0.388709 + 0.253949i
\(469\) −9.27535e6 9.27535e6i −1.94715 1.94715i
\(470\) 1.97100e6 + 1.60056e6i 0.411568 + 0.334217i
\(471\) 8.13167e6i 1.68899i
\(472\) 3.32886e6 + 1.71343e6i 0.687766 + 0.354006i
\(473\) 684206.i 0.140616i
\(474\) 1.84337e6 2.26999e6i 0.376848 0.464065i
\(475\) 198749. + 198749.i 0.0404176 + 0.0404176i
\(476\) −675581. 3.22178e6i −0.136666 0.651747i
\(477\) 622729. 622729.i 0.125315 0.125315i
\(478\) 6.80314e6 705607.i 1.36188 0.141251i
\(479\) 6.56083e6 1.30653 0.653266 0.757129i \(-0.273399\pi\)
0.653266 + 0.757129i \(0.273399\pi\)
\(480\) −2.35059e6 + 1.33571e6i −0.465666 + 0.264611i
\(481\) −2.74662e6 −0.541297
\(482\) −60396.7 + 6264.22i −0.0118412 + 0.00122814i
\(483\) −6.41733e6 + 6.41733e6i −1.25166 + 1.25166i
\(484\) 1.44858e6 + 6.90817e6i 0.281080 + 1.34045i
\(485\) 1.35881e6 + 1.35881e6i 0.262303 + 0.262303i
\(486\) 2.67320e6 3.29189e6i 0.513383 0.632200i
\(487\) 3.54526e6i 0.677369i 0.940900 + 0.338685i \(0.109982\pi\)
−0.940900 + 0.338685i \(0.890018\pi\)
\(488\) 4.05798e6 7.88389e6i 0.771367 1.49862i
\(489\) 1.57699e6i 0.298234i
\(490\) −2.12259e6 1.72367e6i −0.399371 0.324312i
\(491\) 3.02097e6 + 3.02097e6i 0.565514 + 0.565514i 0.930868 0.365355i \(-0.119052\pi\)
−0.365355 + 0.930868i \(0.619052\pi\)
\(492\) 7.35404e6 + 4.80450e6i 1.36966 + 0.894819i
\(493\) 373638. 373638.i 0.0692363 0.0692363i
\(494\) −170964. 1.64835e6i −0.0315201 0.303902i
\(495\) −1.62995e6 −0.298993
\(496\) −6.20618e6 + 2.72247e6i −1.13271 + 0.496889i
\(497\) −3.60555e6 −0.654758
\(498\) −620511. 5.98268e6i −0.112118 1.08099i
\(499\) −714396. + 714396.i −0.128436 + 0.128436i −0.768403 0.639966i \(-0.778948\pi\)
0.639966 + 0.768403i \(0.278948\pi\)
\(500\) 273469. 418587.i 0.0489196 0.0748791i
\(501\) −8.32207e6 8.32207e6i −1.48128 1.48128i
\(502\) −1.80382e6 1.46480e6i −0.319473 0.259430i
\(503\) 5.36521e6i 0.945511i 0.881194 + 0.472756i \(0.156741\pi\)
−0.881194 + 0.472756i \(0.843259\pi\)
\(504\) −3.45880e6 + 1.10812e6i −0.606526 + 0.194317i
\(505\) 410670.i 0.0716580i
\(506\) −5.63302e6 + 6.93673e6i −0.978059 + 1.20442i
\(507\) 700337. + 700337.i 0.121001 + 0.121001i
\(508\) 5.82691e6 1.22185e6i 1.00180 0.210068i
\(509\) 660473. 660473.i 0.112995 0.112995i −0.648348 0.761344i \(-0.724540\pi\)
0.761344 + 0.648348i \(0.224540\pi\)
\(510\) 1.42104e6 147387.i 0.241924 0.0250919i
\(511\) 1.55482e7 2.63407
\(512\) −3.54549e6 + 4.75540e6i −0.597726 + 0.801701i
\(513\) −1.15410e6 −0.193620
\(514\) 2.00067e6 207506.i 0.334017 0.0346435i
\(515\) −3.72628e6 + 3.72628e6i −0.619096 + 0.619096i
\(516\) −647589. + 135794.i −0.107072 + 0.0224521i
\(517\) 7.84252e6 + 7.84252e6i 1.29041 + 1.29041i
\(518\) 2.85840e6 3.51995e6i 0.468057 0.576385i
\(519\) 1.50009e6i 0.244455i
\(520\) −2.80742e6 + 899432.i −0.455301 + 0.145868i
\(521\) 971519.i 0.156804i −0.996922 0.0784020i \(-0.975018\pi\)
0.996922 0.0784020i \(-0.0249818\pi\)
\(522\) −452572. 367515.i −0.0726962 0.0590335i
\(523\) −2.56867e6 2.56867e6i −0.410632 0.410632i 0.471326 0.881959i \(-0.343775\pi\)
−0.881959 + 0.471326i \(0.843775\pi\)
\(524\) 6.55700e6 1.00365e7i 1.04322 1.59682i
\(525\) 1.56853e6 1.56853e6i 0.248368 0.248368i
\(526\) −929024. 8.95722e6i −0.146407 1.41159i
\(527\) 3.58120e6 0.561697
\(528\) −1.08150e7 + 4.74425e6i −1.68828 + 0.740599i
\(529\) −102208. −0.0158798
\(530\) 121743. + 1.17379e6i 0.0188258 + 0.181510i
\(531\) −1.54349e6 + 1.54349e6i −0.237558 + 0.237558i
\(532\) 2.29038e6 + 1.49634e6i 0.350856 + 0.229219i
\(533\) 6.77296e6 + 6.77296e6i 1.03267 + 1.03267i
\(534\) 1.66069e6 + 1.34857e6i 0.252020 + 0.204654i
\(535\) 4.90950e6i 0.741571i
\(536\) 5.71615e6 1.11054e7i 0.859392 1.66963i
\(537\) 131399.i 0.0196633i
\(538\) 7.17212e6 8.83203e6i 1.06830 1.31554i
\(539\) −8.44572e6 8.44572e6i −1.25217 1.25217i
\(540\) 421338. + 2.00932e6i 0.0621793 + 0.296528i
\(541\) −2.32096e6 + 2.32096e6i −0.340937 + 0.340937i −0.856719 0.515783i \(-0.827501\pi\)
0.515783 + 0.856719i \(0.327501\pi\)
\(542\) −6.70940e6 + 695885.i −0.981038 + 0.101751i
\(543\) −5.21785e6 −0.759437
\(544\) 2.72520e6 1.54858e6i 0.394822 0.224355i
\(545\) 3.49163e6 0.503543
\(546\) −1.30089e7 + 1.34925e6i −1.86749 + 0.193692i
\(547\) 4.92582e6 4.92582e6i 0.703898 0.703898i −0.261347 0.965245i \(-0.584167\pi\)
0.965245 + 0.261347i \(0.0841666\pi\)
\(548\) −1.23520e6 5.89056e6i −0.175706 0.837925i
\(549\) 3.65552e6 + 3.65552e6i 0.517629 + 0.517629i
\(550\) 1.37683e6 1.69548e6i 0.194077 0.238994i
\(551\) 439156.i 0.0616225i
\(552\) −7.68347e6 3.95483e6i −1.07327 0.552433i
\(553\) 5.26389e6i 0.731972i
\(554\) −3.30899e6 2.68709e6i −0.458059 0.371970i
\(555\) 1.39152e6 + 1.39152e6i 0.191760 + 0.191760i
\(556\) 9.91161e6 + 6.47539e6i 1.35974 + 0.888340i
\(557\) −5.57524e6 + 5.57524e6i −0.761422 + 0.761422i −0.976579 0.215157i \(-0.930974\pi\)
0.215157 + 0.976579i \(0.430974\pi\)
\(558\) −407626. 3.93014e6i −0.0554212 0.534346i
\(559\) −721484. −0.0976557
\(560\) 1.76900e6 4.53391e6i 0.238373 0.610946i
\(561\) 6.24069e6 0.837193
\(562\) −67303.3 648908.i −0.00898868 0.0866647i
\(563\) −8.90526e6 + 8.90526e6i −1.18406 + 1.18406i −0.205383 + 0.978682i \(0.565844\pi\)
−0.978682 + 0.205383i \(0.934156\pi\)
\(564\) −5.86631e6 + 8.97931e6i −0.776546 + 1.18863i
\(565\) 1.20977e6 + 1.20977e6i 0.159434 + 0.159434i
\(566\) −1.04959e6 852327.i −0.137714 0.111832i
\(567\) 1.39838e7i 1.82670i
\(568\) −1.04746e6 3.26947e6i −0.136228 0.425213i
\(569\) 9.17182e6i 1.18761i −0.804608 0.593806i \(-0.797625\pi\)
0.804608 0.593806i \(-0.202375\pi\)
\(570\) −748492. + 921723.i −0.0964940 + 0.118827i
\(571\) −8.05400e6 8.05400e6i −1.03376 1.03376i −0.999410 0.0343541i \(-0.989063\pi\)
−0.0343541 0.999410i \(-0.510937\pi\)
\(572\) −1.26033e7 + 2.64280e6i −1.61062 + 0.337734i
\(573\) 8.84068e6 8.84068e6i 1.12486 1.12486i
\(574\) −1.57286e7 + 1.63133e6i −1.99255 + 0.206663i
\(575\) 1.59816e6 0.201582
\(576\) −2.00966e6 2.81447e6i −0.252386 0.353460i
\(577\) 6.38833e6 0.798818 0.399409 0.916773i \(-0.369215\pi\)
0.399409 + 0.916773i \(0.369215\pi\)
\(578\) 6.34156e6 657733.i 0.789545 0.0818899i
\(579\) 3.87419e6 3.87419e6i 0.480269 0.480269i
\(580\) 764582. 160326.i 0.0943744 0.0197895i
\(581\) 7.65608e6 + 7.65608e6i 0.940949 + 0.940949i
\(582\) −5.11730e6 + 6.30164e6i −0.626229 + 0.771163i
\(583\) 5.15488e6i 0.628126i
\(584\) 4.51697e6 + 1.40989e7i 0.548043 + 1.71062i
\(585\) 1.71876e6i 0.207646i
\(586\) 1.05670e6 + 858101.i 0.127118 + 0.103227i
\(587\) 3.14367e6 + 3.14367e6i 0.376566 + 0.376566i 0.869862 0.493296i \(-0.164208\pi\)
−0.493296 + 0.869862i \(0.664208\pi\)
\(588\) 6.31751e6 9.66994e6i 0.753533 1.15340i
\(589\) −2.10458e6 + 2.10458e6i −0.249964 + 0.249964i
\(590\) −301752. 2.90935e6i −0.0356878 0.344086i
\(591\) 1.27629e7 1.50307
\(592\) 4.02225e6 + 1.56937e6i 0.471699 + 0.184043i
\(593\) −7.90117e6 −0.922688 −0.461344 0.887221i \(-0.652633\pi\)
−0.461344 + 0.887221i \(0.652633\pi\)
\(594\) 925184. + 8.92020e6i 0.107588 + 1.03731i
\(595\) −1.81851e6 + 1.81851e6i −0.210583 + 0.210583i
\(596\) −8.51397e6 5.56230e6i −0.981785 0.641414i
\(597\) −8.14972e6 8.14972e6i −0.935852 0.935852i
\(598\) −7.31467e6 5.93993e6i −0.836453 0.679248i
\(599\) 7.49192e6i 0.853152i 0.904452 + 0.426576i \(0.140280\pi\)
−0.904452 + 0.426576i \(0.859720\pi\)
\(600\) 1.87801e6 + 966644.i 0.212970 + 0.109620i
\(601\) 8.77293e6i 0.990737i −0.868683 0.495369i \(-0.835033\pi\)
0.868683 0.495369i \(-0.164967\pi\)
\(602\) 750848. 924624.i 0.0844424 0.103986i
\(603\) 5.14923e6 + 5.14923e6i 0.576699 + 0.576699i
\(604\) 18969.8 + 90465.4i 0.00211578 + 0.0100900i
\(605\) 3.89926e6 3.89926e6i 0.433105 0.433105i
\(606\) −1.72556e6 + 178972.i −0.190875 + 0.0197971i
\(607\) −752225. −0.0828660 −0.0414330 0.999141i \(-0.513192\pi\)
−0.0414330 + 0.999141i \(0.513192\pi\)
\(608\) −691473. + 2.51160e6i −0.0758606 + 0.275544i
\(609\) 3.46583e6 0.378673
\(610\) −6.89035e6 + 714652.i −0.749750 + 0.0777625i
\(611\) −8.26981e6 + 8.26981e6i −0.896174 + 0.896174i
\(612\) 375050. + 1.78858e6i 0.0404772 + 0.193032i
\(613\) 3.13608e6 + 3.13608e6i 0.337082 + 0.337082i 0.855268 0.518186i \(-0.173392\pi\)
−0.518186 + 0.855268i \(0.673392\pi\)
\(614\) 3.92836e6 4.83754e6i 0.420523 0.517849i
\(615\) 6.86278e6i 0.731665i
\(616\) 9.72933e6 1.89022e7i 1.03307 2.00706i
\(617\) 2.22134e6i 0.234911i 0.993078 + 0.117455i \(0.0374737\pi\)
−0.993078 + 0.117455i \(0.962526\pi\)
\(618\) −1.72811e7 1.40332e7i −1.82012 1.47804i
\(619\) −1.03308e7 1.03308e7i −1.08370 1.08370i −0.996162 0.0875338i \(-0.972101\pi\)
−0.0875338 0.996162i \(-0.527899\pi\)
\(620\) 4.43248e6 + 2.89580e6i 0.463092 + 0.302545i
\(621\) −4.64012e6 + 4.64012e6i −0.482837 + 0.482837i
\(622\) −653697. 6.30264e6i −0.0677486 0.653201i
\(623\) −3.85097e6 −0.397511
\(624\) −5.00274e6 1.14043e7i −0.514335 1.17248i
\(625\) −390625. −0.0400000
\(626\) 1.97790e6 + 1.90700e7i 0.201729 + 1.94498i
\(627\) −3.66750e6 + 3.66750e6i −0.372564 + 0.372564i
\(628\) −7.62327e6 + 1.16686e7i −0.771334 + 1.18065i
\(629\) −1.61329e6 1.61329e6i −0.162587 0.162587i
\(630\) 2.20269e6 + 1.78871e6i 0.221106 + 0.179551i
\(631\) 2.50673e6i 0.250631i −0.992117 0.125315i \(-0.960006\pi\)
0.992117 0.125315i \(-0.0399942\pi\)
\(632\) −4.77323e6 + 1.52923e6i −0.475356 + 0.152293i
\(633\) 1.21623e7i 1.20644i
\(634\) 6.59620e6 8.12283e6i 0.651735 0.802572i
\(635\) −3.28895e6 3.28895e6i −0.323685 0.323685i
\(636\) −4.87900e6 + 1.02308e6i −0.478286 + 0.100293i
\(637\) 8.90587e6 8.90587e6i 0.869617 0.869617i
\(638\) 3.39429e6 352049.i 0.330139 0.0342414i
\(639\) 2.00163e6 0.193924
\(640\) 4.62520e6 + 286944.i 0.446355 + 0.0276915i
\(641\) −473959. −0.0455612 −0.0227806 0.999740i \(-0.507252\pi\)
−0.0227806 + 0.999740i \(0.507252\pi\)
\(642\) 2.06288e7 2.13958e6i 1.97532 0.204876i
\(643\) −9.27956e6 + 9.27956e6i −0.885115 + 0.885115i −0.994049 0.108934i \(-0.965256\pi\)
0.108934 + 0.994049i \(0.465256\pi\)
\(644\) 1.52247e7 3.19250e6i 1.44655 0.303330i
\(645\) 365526. + 365526.i 0.0345955 + 0.0345955i
\(646\) 867779. 1.06862e6i 0.0818140 0.100749i
\(647\) 1.14608e7i 1.07635i 0.842834 + 0.538174i \(0.180886\pi\)
−0.842834 + 0.538174i \(0.819114\pi\)
\(648\) −1.26803e7 + 4.06247e6i −1.18629 + 0.380061i
\(649\) 1.27769e7i 1.19073i
\(650\) 1.78786e6 + 1.45185e6i 0.165978 + 0.134784i
\(651\) 1.66094e7 + 1.66094e7i 1.53604 + 1.53604i
\(652\) 1.47839e6 2.26292e6i 0.136198 0.208473i
\(653\) 7.79263e6 7.79263e6i 0.715157 0.715157i −0.252453 0.967609i \(-0.581237\pi\)
0.967609 + 0.252453i \(0.0812372\pi\)
\(654\) 1.52166e6 + 1.46712e7i 0.139115 + 1.34128i
\(655\) −9.36608e6 −0.853011
\(656\) −6.04863e6 1.37885e7i −0.548779 1.25100i
\(657\) −8.63162e6 −0.780152
\(658\) −1.99186e6 1.92046e7i −0.179347 1.72918i
\(659\) 1.08176e7 1.08176e7i 0.970327 0.970327i −0.0292456 0.999572i \(-0.509310\pi\)
0.999572 + 0.0292456i \(0.00931048\pi\)
\(660\) 7.72415e6 + 5.04630e6i 0.690225 + 0.450934i
\(661\) −772828. 772828.i −0.0687985 0.0687985i 0.671870 0.740669i \(-0.265491\pi\)
−0.740669 + 0.671870i \(0.765491\pi\)
\(662\) −1.54291e7 1.25293e7i −1.36835 1.11118i
\(663\) 6.58071e6i 0.581419i
\(664\) −4.71823e6 + 9.16662e6i −0.415297 + 0.806843i
\(665\) 2.13739e6i 0.187426i
\(666\) −1.58685e6 + 1.95411e6i −0.138628 + 0.170712i
\(667\) 1.76565e6 + 1.76565e6i 0.153670 + 0.153670i
\(668\) 4.14006e6 + 1.97436e7i 0.358976 + 1.71193i
\(669\) 1.52457e7 1.52457e7i 1.31699 1.31699i
\(670\) −9.70586e6 + 1.00667e6i −0.835309 + 0.0866364i
\(671\) −3.02600e7 −2.59455
\(672\) 1.98216e7 + 5.45713e6i 1.69323 + 0.466166i
\(673\) 2.02477e7 1.72321 0.861603 0.507583i \(-0.169461\pi\)
0.861603 + 0.507583i \(0.169461\pi\)
\(674\) −1.14986e7 + 1.19261e6i −0.974976 + 0.101122i
\(675\) 1.13415e6 1.13415e6i 0.0958097 0.0958097i
\(676\) −348404. 1.66151e6i −0.0293235 0.139841i
\(677\) −6.86021e6 6.86021e6i −0.575262 0.575262i 0.358332 0.933594i \(-0.383346\pi\)
−0.933594 + 0.358332i \(0.883346\pi\)
\(678\) −4.55600e6 + 5.61044e6i −0.380636 + 0.468730i
\(679\) 1.46129e7i 1.21636i
\(680\) −2.17730e6 1.12070e6i −0.180570 0.0929429i
\(681\) 3.91381e6i 0.323394i
\(682\) 1.79537e7 + 1.45795e7i 1.47807 + 1.20027i
\(683\) 9.81746e6 + 9.81746e6i 0.805281 + 0.805281i 0.983915 0.178635i \(-0.0571681\pi\)
−0.178635 + 0.983915i \(0.557168\pi\)
\(684\) −1.27151e6 830697.i −0.103915 0.0678895i
\(685\) −3.32488e6 + 3.32488e6i −0.270738 + 0.270738i
\(686\) 280411. + 2.70359e6i 0.0227501 + 0.219346i
\(687\) −1.54334e6 −0.124758
\(688\) 1.05657e6 + 412243.i 0.0850994 + 0.0332033i
\(689\) −5.43573e6 −0.436225
\(690\) 696485. + 6.71519e6i 0.0556915 + 0.536952i
\(691\) −6.64037e6 + 6.64037e6i −0.529051 + 0.529051i −0.920289 0.391238i \(-0.872047\pi\)
0.391238 + 0.920289i \(0.372047\pi\)
\(692\) −1.40630e6 + 2.15256e6i −0.111638 + 0.170880i
\(693\) 8.76440e6 + 8.76440e6i 0.693249 + 0.693249i
\(694\) 8.86364e6 + 7.19778e6i 0.698575 + 0.567283i
\(695\) 9.24951e6i 0.726368i
\(696\) 1.00687e6 + 3.14277e6i 0.0787863 + 0.245917i
\(697\) 7.95650e6i 0.620355i
\(698\) −8.93618e6 + 1.10044e7i −0.694246 + 0.854922i
\(699\) 7.21864e6 + 7.21864e6i 0.558808 + 0.558808i
\(700\) −3.72125e6 + 780314.i −0.287041 + 0.0601900i
\(701\) −1.66016e7 + 1.66016e7i −1.27601 + 1.27601i −0.333134 + 0.942879i \(0.608106\pi\)
−0.942879 + 0.333134i \(0.891894\pi\)
\(702\) −9.40621e6 + 975592.i −0.720397 + 0.0747180i
\(703\) 1.89618e6 0.144707
\(704\) 1.99668e7 + 3.33107e6i 1.51837 + 0.253310i
\(705\) 8.37949e6 0.634957
\(706\) −4.70481e6 + 487973.i −0.355247 + 0.0368454i
\(707\) 2.20821e6 2.20821e6i 0.166147 0.166147i
\(708\) 1.20931e7 2.53582e6i 0.906680 0.190123i
\(709\) 1.53831e7 + 1.53831e7i 1.14929 + 1.14929i 0.986693 + 0.162597i \(0.0519869\pi\)
0.162597 + 0.986693i \(0.448013\pi\)
\(710\) −1.69079e6 + 2.08211e6i −0.125876 + 0.155009i
\(711\) 2.92226e6i 0.216793i
\(712\) −1.11876e6 3.49200e6i −0.0827058 0.258151i
\(713\) 1.69232e7i 1.24669i
\(714\) −8.43357e6 6.84854e6i −0.619107 0.502750i
\(715\) 7.11383e6 + 7.11383e6i 0.520401 + 0.520401i
\(716\) −123184. + 188552.i −0.00897989 + 0.0137451i
\(717\) 1.59613e7 1.59613e7i 1.15950 1.15950i
\(718\) 468252. + 4.51467e6i 0.0338976 + 0.326825i
\(719\) 1.07413e7 0.774879 0.387439 0.921895i \(-0.373360\pi\)
0.387439 + 0.921895i \(0.373360\pi\)
\(720\) −982065. + 2.51701e6i −0.0706007 + 0.180948i
\(721\) 4.00732e7 2.87088
\(722\) −1.32699e6 1.27942e7i −0.0947381 0.913421i
\(723\) −141701. + 141701.i −0.0100815 + 0.0100815i
\(724\) 7.48740e6 + 4.89162e6i 0.530865 + 0.346822i
\(725\) −431562. 431562.i −0.0304929 0.0304929i
\(726\) 1.80833e7 + 1.46847e7i 1.27332 + 1.03401i
\(727\) 222223.i 0.0155939i 0.999970 + 0.00779693i \(0.00248187\pi\)
−0.999970 + 0.00779693i \(0.997518\pi\)
\(728\) 1.99321e7 + 1.02594e7i 1.39388 + 0.717455i
\(729\) 3.87911e6i 0.270342i
\(730\) 7.29119e6 8.97867e6i 0.506397 0.623598i
\(731\) −423780. 423780.i −0.0293324 0.0293324i
\(732\) −6.00568e6 2.86406e7i −0.414271 1.97562i
\(733\) −1.11978e7 + 1.11978e7i −0.769791 + 0.769791i −0.978070 0.208279i \(-0.933214\pi\)
0.208279 + 0.978070i \(0.433214\pi\)
\(734\) 893676. 92690.2i 0.0612266 0.00635029i
\(735\) −9.02398e6 −0.616141
\(736\) 7.31790e6 + 1.28781e7i 0.497957 + 0.876310i
\(737\) −4.26247e7 −2.89063
\(738\) 8.73174e6 905638.i 0.590147 0.0612088i
\(739\) −5.74562e6 + 5.74562e6i −0.387013 + 0.387013i −0.873621 0.486607i \(-0.838234\pi\)
0.486607 + 0.873621i \(0.338234\pi\)
\(740\) −692255. 3.30130e6i −0.0464715 0.221618i
\(741\) −3.86732e6 3.86732e6i −0.258741 0.258741i
\(742\) 5.65696e6 6.96621e6i 0.377202 0.464501i
\(743\) 1.03255e7i 0.686179i −0.939303 0.343090i \(-0.888527\pi\)
0.939303 0.343090i \(-0.111473\pi\)
\(744\) −1.02359e7 + 1.98865e7i −0.677947 + 1.31712i
\(745\) 7.94523e6i 0.524464i
\(746\) −4.46705e6 3.62750e6i −0.293883 0.238649i
\(747\) −4.25029e6 4.25029e6i −0.278687 0.278687i
\(748\) −8.95514e6 5.85052e6i −0.585219 0.382332i
\(749\) −2.63989e7 + 2.63989e7i −1.71942 + 1.71942i
\(750\) −170236. 1.64134e6i −0.0110509 0.106548i
\(751\) −1.14757e7 −0.742468 −0.371234 0.928539i \(-0.621065\pi\)
−0.371234 + 0.928539i \(0.621065\pi\)
\(752\) 1.68358e7 7.38540e6i 1.08565 0.476244i
\(753\) −7.66875e6 −0.492875
\(754\) 371230. + 3.57923e6i 0.0237801 + 0.229277i
\(755\) 51062.5 51062.5i 0.00326013 0.00326013i
\(756\) 8.53875e6 1.30699e7i 0.543363 0.831702i
\(757\) −9.78035e6 9.78035e6i −0.620318 0.620318i 0.325294 0.945613i \(-0.394537\pi\)
−0.945613 + 0.325294i \(0.894537\pi\)
\(758\) 4.55429e6 + 3.69834e6i 0.287904 + 0.233794i
\(759\) 2.94908e7i 1.85815i
\(760\) 1.93815e6 620940.i 0.121718 0.0389956i
\(761\) 2.22081e6i 0.139011i 0.997582 + 0.0695054i \(0.0221421\pi\)
−0.997582 + 0.0695054i \(0.977858\pi\)
\(762\) 1.23862e7 1.52529e7i 0.772773 0.951624i
\(763\) −1.87748e7 1.87748e7i −1.16752 1.16752i
\(764\) −2.09740e7 + 4.39806e6i −1.30001 + 0.272601i
\(765\) 1.00955e6 1.00955e6i 0.0623698 0.0623698i
\(766\) 1.99143e7 2.06547e6i 1.22629 0.127188i
\(767\) 1.34730e7 0.826944
\(768\) 809996. + 1.95593e7i 0.0495541 + 1.19660i
\(769\) −1.41145e7 −0.860697 −0.430349 0.902663i \(-0.641609\pi\)
−0.430349 + 0.902663i \(0.641609\pi\)
\(770\) −1.65201e7 + 1.71343e6i −1.00412 + 0.104145i
\(771\) 4.69392e6 4.69392e6i 0.284380 0.284380i
\(772\) −9.19128e6