Properties

Label 80.6.l.a.21.18
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 21.18
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.605604 + 5.62434i) q^{2} +(4.24643 - 4.24643i) q^{3} +(-31.2665 - 6.81225i) q^{4} +(17.6777 + 17.6777i) q^{5} +(21.3117 + 26.4550i) q^{6} -137.329i q^{7} +(57.2496 - 171.728i) q^{8} +206.936i q^{9} +O(q^{10})\) \(q+(-0.605604 + 5.62434i) q^{2} +(4.24643 - 4.24643i) q^{3} +(-31.2665 - 6.81225i) q^{4} +(17.6777 + 17.6777i) q^{5} +(21.3117 + 26.4550i) q^{6} -137.329i q^{7} +(57.2496 - 171.728i) q^{8} +206.936i q^{9} +(-110.131 + 88.7196i) q^{10} +(-315.189 - 315.189i) q^{11} +(-161.699 + 103.843i) q^{12} +(792.347 - 792.347i) q^{13} +(772.383 + 83.1667i) q^{14} +150.134 q^{15} +(931.186 + 425.991i) q^{16} +1386.22 q^{17} +(-1163.88 - 125.321i) q^{18} +(-213.599 + 213.599i) q^{19} +(-432.294 - 673.143i) q^{20} +(-583.156 - 583.156i) q^{21} +(1963.61 - 1581.85i) q^{22} -1980.52i q^{23} +(-486.124 - 972.336i) q^{24} +625.000i q^{25} +(3976.58 + 4936.28i) q^{26} +(1910.62 + 1910.62i) q^{27} +(-935.517 + 4293.78i) q^{28} +(350.393 - 350.393i) q^{29} +(-90.9217 + 844.405i) q^{30} +6031.52 q^{31} +(-2959.85 + 4979.33i) q^{32} -2676.85 q^{33} +(-839.502 + 7796.59i) q^{34} +(2427.65 - 2427.65i) q^{35} +(1409.70 - 6470.15i) q^{36} +(7587.17 + 7587.17i) q^{37} +(-1072.00 - 1330.71i) q^{38} -6729.29i q^{39} +(4047.79 - 2023.71i) q^{40} -19441.6i q^{41} +(3633.03 - 2926.71i) q^{42} +(-6074.63 - 6074.63i) q^{43} +(7707.70 + 12002.0i) q^{44} +(-3658.14 + 3658.14i) q^{45} +(11139.1 + 1199.41i) q^{46} -23379.1 q^{47} +(5763.15 - 2145.28i) q^{48} -2052.12 q^{49} +(-3515.21 - 378.503i) q^{50} +(5886.49 - 5886.49i) q^{51} +(-30171.6 + 19376.2i) q^{52} +(-15678.0 - 15678.0i) q^{53} +(-11903.1 + 9588.90i) q^{54} -11143.6i q^{55} +(-23583.1 - 7862.00i) q^{56} +1814.07i q^{57} +(1758.53 + 2182.93i) q^{58} +(-24668.2 - 24668.2i) q^{59} +(-4694.16 - 1022.75i) q^{60} +(-6270.63 + 6270.63i) q^{61} +(-3652.72 + 33923.4i) q^{62} +28418.2 q^{63} +(-26213.0 - 19662.7i) q^{64} +28013.7 q^{65} +(1621.11 - 15055.5i) q^{66} +(30087.1 - 30087.1i) q^{67} +(-43342.3 - 9443.30i) q^{68} +(-8410.15 - 8410.15i) q^{69} +(12183.7 + 15124.1i) q^{70} -3064.41i q^{71} +(35536.6 + 11847.0i) q^{72} +58592.3i q^{73} +(-47267.7 + 38078.0i) q^{74} +(2654.02 + 2654.02i) q^{75} +(8133.59 - 5223.40i) q^{76} +(-43284.4 + 43284.4i) q^{77} +(37847.8 + 4075.29i) q^{78} -1015.01 q^{79} +(8930.69 + 23991.7i) q^{80} -34058.8 q^{81} +(109346. + 11773.9i) q^{82} +(42673.4 - 42673.4i) q^{83} +(14260.6 + 22205.8i) q^{84} +(24505.2 + 24505.2i) q^{85} +(37844.6 - 30487.0i) q^{86} -2975.84i q^{87} +(-72171.1 + 36082.3i) q^{88} +64493.5i q^{89} +(-18359.3 - 22790.0i) q^{90} +(-108812. - 108812. i) q^{91} +(-13491.8 + 61924.0i) q^{92} +(25612.4 - 25612.4i) q^{93} +(14158.5 - 131492. i) q^{94} -7551.87 q^{95} +(8575.59 + 33713.1i) q^{96} -67308.7 q^{97} +(1242.77 - 11541.8i) q^{98} +(65223.8 - 65223.8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.605604 + 5.62434i −0.107057 + 0.994253i
\(3\) 4.24643 4.24643i 0.272408 0.272408i −0.557661 0.830069i \(-0.688301\pi\)
0.830069 + 0.557661i \(0.188301\pi\)
\(4\) −31.2665 6.81225i −0.977078 0.212883i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) 21.3117 + 26.4550i 0.241680 + 0.300006i
\(7\) 137.329i 1.05929i −0.848219 0.529646i \(-0.822325\pi\)
0.848219 0.529646i \(-0.177675\pi\)
\(8\) 57.2496 171.728i 0.316262 0.948672i
\(9\) 206.936i 0.851587i
\(10\) −110.131 + 88.7196i −0.348265 + 0.280556i
\(11\) −315.189 315.189i −0.785397 0.785397i 0.195339 0.980736i \(-0.437419\pi\)
−0.980736 + 0.195339i \(0.937419\pi\)
\(12\) −161.699 + 103.843i −0.324155 + 0.208173i
\(13\) 792.347 792.347i 1.30034 1.30034i 0.372179 0.928161i \(-0.378611\pi\)
0.928161 0.372179i \(-0.121389\pi\)
\(14\) 772.383 + 83.1667i 1.05320 + 0.113404i
\(15\) 150.134 0.172286
\(16\) 931.186 + 425.991i 0.909362 + 0.416006i
\(17\) 1386.22 1.16335 0.581675 0.813421i \(-0.302397\pi\)
0.581675 + 0.813421i \(0.302397\pi\)
\(18\) −1163.88 125.321i −0.846693 0.0911682i
\(19\) −213.599 + 213.599i −0.135742 + 0.135742i −0.771713 0.635971i \(-0.780600\pi\)
0.635971 + 0.771713i \(0.280600\pi\)
\(20\) −432.294 673.143i −0.241660 0.376299i
\(21\) −583.156 583.156i −0.288560 0.288560i
\(22\) 1963.61 1581.85i 0.864965 0.696801i
\(23\) 1980.52i 0.780657i −0.920676 0.390329i \(-0.872361\pi\)
0.920676 0.390329i \(-0.127639\pi\)
\(24\) −486.124 972.336i −0.172274 0.344579i
\(25\) 625.000i 0.200000i
\(26\) 3976.58 + 4936.28i 1.15366 + 1.43208i
\(27\) 1910.62 + 1910.62i 0.504388 + 0.504388i
\(28\) −935.517 + 4293.78i −0.225505 + 1.03501i
\(29\) 350.393 350.393i 0.0773679 0.0773679i −0.667364 0.744732i \(-0.732577\pi\)
0.744732 + 0.667364i \(0.232577\pi\)
\(30\) −90.9217 + 844.405i −0.0184444 + 0.171296i
\(31\) 6031.52 1.12726 0.563628 0.826029i \(-0.309405\pi\)
0.563628 + 0.826029i \(0.309405\pi\)
\(32\) −2959.85 + 4979.33i −0.510969 + 0.859599i
\(33\) −2676.85 −0.427897
\(34\) −839.502 + 7796.59i −0.124545 + 1.15666i
\(35\) 2427.65 2427.65i 0.334977 0.334977i
\(36\) 1409.70 6470.15i 0.181288 0.832067i
\(37\) 7587.17 + 7587.17i 0.911120 + 0.911120i 0.996360 0.0852401i \(-0.0271657\pi\)
−0.0852401 + 0.996360i \(0.527166\pi\)
\(38\) −1072.00 1330.71i −0.120430 0.149494i
\(39\) 6729.29i 0.708447i
\(40\) 4047.79 2023.71i 0.400007 0.199985i
\(41\) 19441.6i 1.80622i −0.429405 0.903112i \(-0.641277\pi\)
0.429405 0.903112i \(-0.358723\pi\)
\(42\) 3633.03 2926.71i 0.317794 0.256009i
\(43\) −6074.63 6074.63i −0.501013 0.501013i 0.410740 0.911753i \(-0.365270\pi\)
−0.911753 + 0.410740i \(0.865270\pi\)
\(44\) 7707.70 + 12002.0i 0.600196 + 0.934591i
\(45\) −3658.14 + 3658.14i −0.269296 + 0.269296i
\(46\) 11139.1 + 1199.41i 0.776171 + 0.0835746i
\(47\) −23379.1 −1.54377 −0.771885 0.635762i \(-0.780686\pi\)
−0.771885 + 0.635762i \(0.780686\pi\)
\(48\) 5763.15 2145.28i 0.361041 0.134394i
\(49\) −2052.12 −0.122099
\(50\) −3515.21 378.503i −0.198851 0.0214113i
\(51\) 5886.49 5886.49i 0.316907 0.316907i
\(52\) −30171.6 + 19376.2i −1.54735 + 0.993713i
\(53\) −15678.0 15678.0i −0.766656 0.766656i 0.210860 0.977516i \(-0.432374\pi\)
−0.977516 + 0.210860i \(0.932374\pi\)
\(54\) −11903.1 + 9588.90i −0.555487 + 0.447491i
\(55\) 11143.6i 0.496728i
\(56\) −23583.1 7862.00i −1.00492 0.335014i
\(57\) 1814.07i 0.0739548i
\(58\) 1758.53 + 2182.93i 0.0686405 + 0.0852061i
\(59\) −24668.2 24668.2i −0.922588 0.922588i 0.0746242 0.997212i \(-0.476224\pi\)
−0.997212 + 0.0746242i \(0.976224\pi\)
\(60\) −4694.16 1022.75i −0.168337 0.0366768i
\(61\) −6270.63 + 6270.63i −0.215768 + 0.215768i −0.806712 0.590944i \(-0.798755\pi\)
0.590944 + 0.806712i \(0.298755\pi\)
\(62\) −3652.72 + 33923.4i −0.120680 + 1.12078i
\(63\) 28418.2 0.902079
\(64\) −26213.0 19662.7i −0.799956 0.600058i
\(65\) 28013.7 0.822407
\(66\) 1621.11 15055.5i 0.0458093 0.425438i
\(67\) 30087.1 30087.1i 0.818829 0.818829i −0.167110 0.985938i \(-0.553443\pi\)
0.985938 + 0.167110i \(0.0534433\pi\)
\(68\) −43342.3 9443.30i −1.13668 0.247657i
\(69\) −8410.15 8410.15i −0.212658 0.212658i
\(70\) 12183.7 + 15124.1i 0.297191 + 0.368914i
\(71\) 3064.41i 0.0721441i −0.999349 0.0360721i \(-0.988515\pi\)
0.999349 0.0360721i \(-0.0114846\pi\)
\(72\) 35536.6 + 11847.0i 0.807877 + 0.269325i
\(73\) 58592.3i 1.28687i 0.765502 + 0.643433i \(0.222491\pi\)
−0.765502 + 0.643433i \(0.777509\pi\)
\(74\) −47267.7 + 38078.0i −1.00343 + 0.808342i
\(75\) 2654.02 + 2654.02i 0.0544817 + 0.0544817i
\(76\) 8133.59 5223.40i 0.161528 0.103734i
\(77\) −43284.4 + 43284.4i −0.831964 + 0.831964i
\(78\) 37847.8 + 4075.29i 0.704376 + 0.0758441i
\(79\) −1015.01 −0.0182979 −0.00914895 0.999958i \(-0.502912\pi\)
−0.00914895 + 0.999958i \(0.502912\pi\)
\(80\) 8930.69 + 23991.7i 0.156013 + 0.419118i
\(81\) −34058.8 −0.576788
\(82\) 109346. + 11773.9i 1.79584 + 0.193368i
\(83\) 42673.4 42673.4i 0.679927 0.679927i −0.280057 0.959983i \(-0.590353\pi\)
0.959983 + 0.280057i \(0.0903533\pi\)
\(84\) 14260.6 + 22205.8i 0.220516 + 0.343375i
\(85\) 24505.2 + 24505.2i 0.367884 + 0.367884i
\(86\) 37844.6 30487.0i 0.551770 0.444497i
\(87\) 2975.84i 0.0421514i
\(88\) −72171.1 + 36082.3i −0.993475 + 0.496692i
\(89\) 64493.5i 0.863060i 0.902099 + 0.431530i \(0.142026\pi\)
−0.902099 + 0.431530i \(0.857974\pi\)
\(90\) −18359.3 22790.0i −0.238918 0.296578i
\(91\) −108812. 108812.i −1.37744 1.37744i
\(92\) −13491.8 + 61924.0i −0.166189 + 0.762763i
\(93\) 25612.4 25612.4i 0.307074 0.307074i
\(94\) 14158.5 131492.i 0.165271 1.53490i
\(95\) −7551.87 −0.0858510
\(96\) 8575.59 + 33713.1i 0.0949699 + 0.373354i
\(97\) −67308.7 −0.726343 −0.363172 0.931722i \(-0.618306\pi\)
−0.363172 + 0.931722i \(0.618306\pi\)
\(98\) 1242.77 11541.8i 0.0130715 0.121397i
\(99\) 65223.8 65223.8i 0.668834 0.668834i
\(100\) 4257.66 19541.6i 0.0425766 0.195416i
\(101\) 125484. + 125484.i 1.22401 + 1.22401i 0.966194 + 0.257814i \(0.0830023\pi\)
0.257814 + 0.966194i \(0.416998\pi\)
\(102\) 29542.8 + 36672.5i 0.281158 + 0.349012i
\(103\) 149518.i 1.38868i 0.719649 + 0.694338i \(0.244303\pi\)
−0.719649 + 0.694338i \(0.755697\pi\)
\(104\) −90706.6 181430.i −0.822348 1.64484i
\(105\) 20617.7i 0.182501i
\(106\) 97673.0 78683.7i 0.844326 0.680174i
\(107\) 114525. + 114525.i 0.967032 + 0.967032i 0.999474 0.0324416i \(-0.0103283\pi\)
−0.0324416 + 0.999474i \(0.510328\pi\)
\(108\) −46722.7 72754.0i −0.385451 0.600202i
\(109\) −3991.99 + 3991.99i −0.0321827 + 0.0321827i −0.723015 0.690832i \(-0.757244\pi\)
0.690832 + 0.723015i \(0.257244\pi\)
\(110\) 62675.5 + 6748.62i 0.493874 + 0.0531781i
\(111\) 64436.8 0.496394
\(112\) 58500.6 127878.i 0.440672 0.963279i
\(113\) −155317. −1.14425 −0.572126 0.820166i \(-0.693881\pi\)
−0.572126 + 0.820166i \(0.693881\pi\)
\(114\) −10202.9 1098.61i −0.0735297 0.00791736i
\(115\) 35011.0 35011.0i 0.246865 0.246865i
\(116\) −13342.5 + 8568.60i −0.0920648 + 0.0591242i
\(117\) 163965. + 163965.i 1.10735 + 1.10735i
\(118\) 153682. 123803.i 1.01605 0.818516i
\(119\) 190368.i 1.23233i
\(120\) 8595.10 25782.2i 0.0544876 0.163443i
\(121\) 37637.0i 0.233696i
\(122\) −31470.7 39065.7i −0.191428 0.237627i
\(123\) −82557.2 82557.2i −0.492031 0.492031i
\(124\) −188585. 41088.3i −1.10142 0.239974i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −17210.2 + 159834.i −0.0965737 + 0.896895i
\(127\) 168582. 0.927472 0.463736 0.885973i \(-0.346509\pi\)
0.463736 + 0.885973i \(0.346509\pi\)
\(128\) 126465. 135523.i 0.682250 0.731119i
\(129\) −51591.0 −0.272960
\(130\) −16965.2 + 157559.i −0.0880442 + 0.817681i
\(131\) −144916. + 144916.i −0.737801 + 0.737801i −0.972152 0.234351i \(-0.924703\pi\)
0.234351 + 0.972152i \(0.424703\pi\)
\(132\) 83695.8 + 18235.4i 0.418089 + 0.0910921i
\(133\) 29333.3 + 29333.3i 0.143791 + 0.143791i
\(134\) 150999. + 187441.i 0.726462 + 0.901784i
\(135\) 67550.6i 0.319003i
\(136\) 79360.6 238053.i 0.367924 1.10364i
\(137\) 143106.i 0.651411i 0.945471 + 0.325706i \(0.105602\pi\)
−0.945471 + 0.325706i \(0.894398\pi\)
\(138\) 52394.8 42208.3i 0.234202 0.188669i
\(139\) −18067.7 18067.7i −0.0793171 0.0793171i 0.666335 0.745652i \(-0.267862\pi\)
−0.745652 + 0.666335i \(0.767862\pi\)
\(140\) −92441.8 + 59366.3i −0.398610 + 0.255988i
\(141\) −99277.5 + 99277.5i −0.420536 + 0.420536i
\(142\) 17235.3 + 1855.82i 0.0717295 + 0.00772352i
\(143\) −499478. −2.04257
\(144\) −88152.6 + 192696.i −0.354266 + 0.774401i
\(145\) 12388.3 0.0489318
\(146\) −329543. 35483.8i −1.27947 0.137768i
\(147\) −8714.18 + 8714.18i −0.0332608 + 0.0332608i
\(148\) −185539. 288910.i −0.696273 1.08420i
\(149\) 30872.6 + 30872.6i 0.113922 + 0.113922i 0.761770 0.647848i \(-0.224331\pi\)
−0.647848 + 0.761770i \(0.724331\pi\)
\(150\) −16534.4 + 13319.8i −0.0600012 + 0.0483359i
\(151\) 172996.i 0.617440i 0.951153 + 0.308720i \(0.0999006\pi\)
−0.951153 + 0.308720i \(0.900099\pi\)
\(152\) 24452.5 + 48909.4i 0.0858448 + 0.171705i
\(153\) 286859.i 0.990694i
\(154\) −217233. 269660.i −0.738115 0.916250i
\(155\) 106623. + 106623.i 0.356470 + 0.356470i
\(156\) −45841.6 + 210401.i −0.150816 + 0.692208i
\(157\) 290080. 290080.i 0.939221 0.939221i −0.0590346 0.998256i \(-0.518802\pi\)
0.998256 + 0.0590346i \(0.0188022\pi\)
\(158\) 614.692 5708.75i 0.00195891 0.0181927i
\(159\) −133151. −0.417687
\(160\) −140346. + 35699.8i −0.433412 + 0.110247i
\(161\) −271982. −0.826944
\(162\) 20626.1 191558.i 0.0617491 0.573473i
\(163\) 388139. 388139.i 1.14424 1.14424i 0.156576 0.987666i \(-0.449954\pi\)
0.987666 0.156576i \(-0.0500455\pi\)
\(164\) −132441. + 607869.i −0.384514 + 1.76482i
\(165\) −47320.5 47320.5i −0.135313 0.135313i
\(166\) 214167. + 265853.i 0.603228 + 0.748810i
\(167\) 350253.i 0.971830i 0.874006 + 0.485915i \(0.161513\pi\)
−0.874006 + 0.485915i \(0.838487\pi\)
\(168\) −133530. + 66758.7i −0.365009 + 0.182488i
\(169\) 884334.i 2.38177i
\(170\) −152666. + 122985.i −0.405154 + 0.326385i
\(171\) −44201.3 44201.3i −0.115597 0.115597i
\(172\) 148550. + 231314.i 0.382871 + 0.596185i
\(173\) −248040. + 248040.i −0.630095 + 0.630095i −0.948092 0.317997i \(-0.896990\pi\)
0.317997 + 0.948092i \(0.396990\pi\)
\(174\) 16737.2 + 1802.18i 0.0419091 + 0.00451259i
\(175\) 85830.3 0.211858
\(176\) −159232. 427767.i −0.387480 1.04094i
\(177\) −209504. −0.502641
\(178\) −362734. 39057.5i −0.858100 0.0923964i
\(179\) 401546. 401546.i 0.936704 0.936704i −0.0614083 0.998113i \(-0.519559\pi\)
0.998113 + 0.0614083i \(0.0195592\pi\)
\(180\) 139297. 89457.0i 0.320451 0.205794i
\(181\) 155467. + 155467.i 0.352730 + 0.352730i 0.861124 0.508394i \(-0.169761\pi\)
−0.508394 + 0.861124i \(0.669761\pi\)
\(182\) 677892. 546098.i 1.51699 1.22206i
\(183\) 53255.6i 0.117554i
\(184\) −340111. 113384.i −0.740587 0.246892i
\(185\) 268247.i 0.576243i
\(186\) 128542. + 159564.i 0.272435 + 0.338184i
\(187\) −436922. 436922.i −0.913692 0.913692i
\(188\) 730981. + 159264.i 1.50838 + 0.328642i
\(189\) 262383. 262383.i 0.534294 0.534294i
\(190\) 4573.45 42474.3i 0.00919093 0.0853576i
\(191\) −536221. −1.06356 −0.531778 0.846884i \(-0.678476\pi\)
−0.531778 + 0.846884i \(0.678476\pi\)
\(192\) −194808. + 27815.2i −0.381376 + 0.0544540i
\(193\) −482705. −0.932801 −0.466400 0.884574i \(-0.654449\pi\)
−0.466400 + 0.884574i \(0.654449\pi\)
\(194\) 40762.4 378567.i 0.0777599 0.722169i
\(195\) 118958. 118958.i 0.224031 0.224031i
\(196\) 64162.6 + 13979.6i 0.119300 + 0.0259928i
\(197\) 69715.5 + 69715.5i 0.127986 + 0.127986i 0.768198 0.640212i \(-0.221153\pi\)
−0.640212 + 0.768198i \(0.721153\pi\)
\(198\) 327341. + 406341.i 0.593387 + 0.736593i
\(199\) 625225.i 1.11919i 0.828767 + 0.559594i \(0.189043\pi\)
−0.828767 + 0.559594i \(0.810957\pi\)
\(200\) 107330. + 35781.0i 0.189734 + 0.0632524i
\(201\) 255525.i 0.446112i
\(202\) −781758. + 629771.i −1.34801 + 1.08594i
\(203\) −48119.0 48119.0i −0.0819552 0.0819552i
\(204\) −224150. + 143950.i −0.377106 + 0.242178i
\(205\) 343682. 343682.i 0.571178 0.571178i
\(206\) −840941. 90548.8i −1.38069 0.148667i
\(207\) 409841. 0.664798
\(208\) 1.07535e6 400290.i 1.72343 0.641530i
\(209\) 134648. 0.213223
\(210\) 115961. + 12486.1i 0.181453 + 0.0195380i
\(211\) −44496.7 + 44496.7i −0.0688053 + 0.0688053i −0.740672 0.671867i \(-0.765493\pi\)
0.671867 + 0.740672i \(0.265493\pi\)
\(212\) 383393. + 596998.i 0.585875 + 0.912290i
\(213\) −13012.8 13012.8i −0.0196527 0.0196527i
\(214\) −713485. + 574771.i −1.06500 + 0.857947i
\(215\) 214771.i 0.316868i
\(216\) 437489. 218725.i 0.638018 0.318980i
\(217\) 828300.i 1.19409i
\(218\) −20034.8 24869.9i −0.0285524 0.0354432i
\(219\) 248808. + 248808.i 0.350553 + 0.350553i
\(220\) −75913.1 + 348421.i −0.105745 + 0.485342i
\(221\) 1.09837e6 1.09837e6i 1.51275 1.51275i
\(222\) −39023.2 + 362415.i −0.0531423 + 0.493541i
\(223\) 117924. 0.158796 0.0793981 0.996843i \(-0.474700\pi\)
0.0793981 + 0.996843i \(0.474700\pi\)
\(224\) 683804. + 406471.i 0.910566 + 0.541265i
\(225\) −129335. −0.170317
\(226\) 94060.4 873554.i 0.122500 1.13768i
\(227\) −120545. + 120545.i −0.155269 + 0.155269i −0.780466 0.625198i \(-0.785018\pi\)
0.625198 + 0.780466i \(0.285018\pi\)
\(228\) 12357.9 56719.5i 0.0157437 0.0722595i
\(229\) 177413. + 177413.i 0.223562 + 0.223562i 0.809996 0.586435i \(-0.199469\pi\)
−0.586435 + 0.809996i \(0.699469\pi\)
\(230\) 175711. + 218117.i 0.219018 + 0.271875i
\(231\) 367608.i 0.453268i
\(232\) −40112.5 80232.2i −0.0489282 0.0978653i
\(233\) 284456.i 0.343261i −0.985161 0.171631i \(-0.945096\pi\)
0.985161 0.171631i \(-0.0549036\pi\)
\(234\) −1.02149e6 + 822897.i −1.21954 + 0.982439i
\(235\) −413287. 413287.i −0.488183 0.488183i
\(236\) 603242. + 939334.i 0.705037 + 1.09784i
\(237\) −4310.15 + 4310.15i −0.00498450 + 0.00498450i
\(238\) 1.07069e6 + 115288.i 1.22525 + 0.131929i
\(239\) 1.06599e6 1.20714 0.603571 0.797309i \(-0.293744\pi\)
0.603571 + 0.797309i \(0.293744\pi\)
\(240\) 139803. + 63955.6i 0.156671 + 0.0716722i
\(241\) 454086. 0.503611 0.251806 0.967778i \(-0.418976\pi\)
0.251806 + 0.967778i \(0.418976\pi\)
\(242\) −211683. 22793.1i −0.232353 0.0250187i
\(243\) −608909. + 608909.i −0.661510 + 0.661510i
\(244\) 238778. 153344.i 0.256755 0.164889i
\(245\) −36276.7 36276.7i −0.0386111 0.0386111i
\(246\) 514327. 414333.i 0.541878 0.436528i
\(247\) 338489.i 0.353023i
\(248\) 345302. 1.03578e6i 0.356509 1.06940i
\(249\) 362419.i 0.370436i
\(250\) −55449.8 68831.9i −0.0561112 0.0696529i
\(251\) 266159. + 266159.i 0.266659 + 0.266659i 0.827753 0.561093i \(-0.189619\pi\)
−0.561093 + 0.827753i \(0.689619\pi\)
\(252\) −888536. 193592.i −0.881402 0.192037i
\(253\) −624239. + 624239.i −0.613126 + 0.613126i
\(254\) −102094. + 948161.i −0.0992921 + 0.922142i
\(255\) 208119. 0.200429
\(256\) 685640. + 793353.i 0.653877 + 0.756600i
\(257\) −1.49252e6 −1.40957 −0.704786 0.709420i \(-0.748957\pi\)
−0.704786 + 0.709420i \(0.748957\pi\)
\(258\) 31243.7 290165.i 0.0292222 0.271391i
\(259\) 1.04194e6 1.04194e6i 0.965142 0.965142i
\(260\) −875890. 190836.i −0.803556 0.175076i
\(261\) 72508.9 + 72508.9i 0.0658855 + 0.0658855i
\(262\) −727297. 902821.i −0.654574 0.812547i
\(263\) 1.64932e6i 1.47033i 0.677887 + 0.735166i \(0.262896\pi\)
−0.677887 + 0.735166i \(0.737104\pi\)
\(264\) −153249. + 459690.i −0.135328 + 0.405934i
\(265\) 554300.i 0.484876i
\(266\) −182745. + 147216.i −0.158358 + 0.127571i
\(267\) 273867. + 273867.i 0.235105 + 0.235105i
\(268\) −1.14568e6 + 735757.i −0.974374 + 0.625745i
\(269\) 1.22243e6 1.22243e6i 1.03002 1.03002i 0.0304819 0.999535i \(-0.490296\pi\)
0.999535 0.0304819i \(-0.00970418\pi\)
\(270\) −379928. 40908.9i −0.317170 0.0341514i
\(271\) −1.56240e6 −1.29231 −0.646157 0.763204i \(-0.723625\pi\)
−0.646157 + 0.763204i \(0.723625\pi\)
\(272\) 1.29083e6 + 590518.i 1.05791 + 0.483961i
\(273\) −924123. −0.750452
\(274\) −804875. 86665.4i −0.647668 0.0697380i
\(275\) 196993. 196993.i 0.157079 0.157079i
\(276\) 205664. + 320248.i 0.162512 + 0.253054i
\(277\) 728039. + 728039.i 0.570105 + 0.570105i 0.932158 0.362052i \(-0.117924\pi\)
−0.362052 + 0.932158i \(0.617924\pi\)
\(278\) 112561. 90677.3i 0.0873527 0.0703698i
\(279\) 1.24814e6i 0.959957i
\(280\) −277913. 555877.i −0.211843 0.423724i
\(281\) 219132.i 0.165554i −0.996568 0.0827772i \(-0.973621\pi\)
0.996568 0.0827772i \(-0.0263790\pi\)
\(282\) −498248. 618494.i −0.373098 0.463140i
\(283\) 612287. + 612287.i 0.454453 + 0.454453i 0.896829 0.442377i \(-0.145865\pi\)
−0.442377 + 0.896829i \(0.645865\pi\)
\(284\) −20875.5 + 95813.4i −0.0153583 + 0.0704904i
\(285\) −32068.5 + 32068.5i −0.0233865 + 0.0233865i
\(286\) 302486. 2.80923e6i 0.218670 2.03083i
\(287\) −2.66988e6 −1.91332
\(288\) −1.03040e6 612498.i −0.732024 0.435135i
\(289\) 501755. 0.353384
\(290\) −7502.40 + 69675.9i −0.00523848 + 0.0486506i
\(291\) −285822. + 285822.i −0.197862 + 0.197862i
\(292\) 399146. 1.83198e6i 0.273952 1.25737i
\(293\) −546245. 546245.i −0.371722 0.371722i 0.496382 0.868104i \(-0.334662\pi\)
−0.868104 + 0.496382i \(0.834662\pi\)
\(294\) −43734.2 54288.9i −0.0295089 0.0366305i
\(295\) 872153.i 0.583496i
\(296\) 1.73729e6 868567.i 1.15251 0.576201i
\(297\) 1.20441e6i 0.792289i
\(298\) −192335. + 154942.i −0.125463 + 0.101071i
\(299\) −1.56926e6 1.56926e6i −1.01512 1.01512i
\(300\) −64902.0 101062.i −0.0416346 0.0648311i
\(301\) −834220. + 834220.i −0.530719 + 0.530719i
\(302\) −972991. 104767.i −0.613891 0.0661011i
\(303\) 1.06572e6 0.666861
\(304\) −289892. + 107909.i −0.179909 + 0.0669692i
\(305\) −221700. −0.136464
\(306\) −1.61339e6 173723.i −0.985001 0.106061i
\(307\) −620775. + 620775.i −0.375914 + 0.375914i −0.869626 0.493712i \(-0.835640\pi\)
0.493712 + 0.869626i \(0.335640\pi\)
\(308\) 1.64822e6 1.05849e6i 0.990005 0.635783i
\(309\) 634918. + 634918.i 0.378287 + 0.378287i
\(310\) −664257. + 535114.i −0.392584 + 0.316259i
\(311\) 2.63407e6i 1.54428i 0.635452 + 0.772141i \(0.280814\pi\)
−0.635452 + 0.772141i \(0.719186\pi\)
\(312\) −1.15561e6 385249.i −0.672084 0.224055i
\(313\) 1.08782e6i 0.627620i 0.949486 + 0.313810i \(0.101605\pi\)
−0.949486 + 0.313810i \(0.898395\pi\)
\(314\) 1.45583e6 + 1.80718e6i 0.833274 + 1.03437i
\(315\) 502367. + 502367.i 0.285263 + 0.285263i
\(316\) 31735.7 + 6914.48i 0.0178785 + 0.00389531i
\(317\) −450130. + 450130.i −0.251588 + 0.251588i −0.821621 0.570034i \(-0.806930\pi\)
0.570034 + 0.821621i \(0.306930\pi\)
\(318\) 80636.7 748886.i 0.0447162 0.415287i
\(319\) −220880. −0.121529
\(320\) −115793. 810975.i −0.0632134 0.442723i
\(321\) 972644. 0.526855
\(322\) 164714. 1.52972e6i 0.0885299 0.822191i
\(323\) −296096. + 296096.i −0.157916 + 0.157916i
\(324\) 1.06490e6 + 232017.i 0.563567 + 0.122788i
\(325\) 495217. + 495217.i 0.260068 + 0.260068i
\(326\) 1.94797e6 + 2.41808e6i 1.01517 + 1.26016i
\(327\) 33903.4i 0.0175337i
\(328\) −3.33866e6 1.11302e6i −1.71351 0.571240i
\(329\) 3.21061e6i 1.63530i
\(330\) 294804. 237489.i 0.149022 0.120049i
\(331\) −775026. 775026.i −0.388818 0.388818i 0.485448 0.874266i \(-0.338657\pi\)
−0.874266 + 0.485448i \(0.838657\pi\)
\(332\) −1.62495e6 + 1.04355e6i −0.809086 + 0.519596i
\(333\) −1.57006e6 + 1.57006e6i −0.775898 + 0.775898i
\(334\) −1.96994e6 212114.i −0.966244 0.104041i
\(335\) 1.06374e6 0.517873
\(336\) −294608. 791445.i −0.142363 0.382448i
\(337\) 1.83332e6 0.879352 0.439676 0.898156i \(-0.355093\pi\)
0.439676 + 0.898156i \(0.355093\pi\)
\(338\) 4.97380e6 + 535557.i 2.36808 + 0.254984i
\(339\) −659541. + 659541.i −0.311704 + 0.311704i
\(340\) −599255. 933126.i −0.281135 0.437767i
\(341\) −1.90107e6 1.90107e6i −0.885343 0.885343i
\(342\) 275372. 221835.i 0.127308 0.102557i
\(343\) 2.02627e6i 0.929953i
\(344\) −1.39095e6 + 695414.i −0.633748 + 0.316845i
\(345\) 297344.i 0.134496i
\(346\) −1.24485e6 1.54527e6i −0.559018 0.693930i
\(347\) 619433. + 619433.i 0.276166 + 0.276166i 0.831576 0.555410i \(-0.187439\pi\)
−0.555410 + 0.831576i \(0.687439\pi\)
\(348\) −20272.2 + 93044.1i −0.00897331 + 0.0411852i
\(349\) 436750. 436750.i 0.191942 0.191942i −0.604593 0.796535i \(-0.706664\pi\)
0.796535 + 0.604593i \(0.206664\pi\)
\(350\) −51979.2 + 482739.i −0.0226809 + 0.210641i
\(351\) 3.02775e6 1.31175
\(352\) 2.50234e6 636518.i 1.07644 0.273813i
\(353\) −1.43657e6 −0.613607 −0.306804 0.951773i \(-0.599259\pi\)
−0.306804 + 0.951773i \(0.599259\pi\)
\(354\) 126876. 1.17832e6i 0.0538111 0.499753i
\(355\) 54171.6 54171.6i 0.0228140 0.0228140i
\(356\) 439346. 2.01649e6i 0.183731 0.843277i
\(357\) −808383. 808383.i −0.335696 0.335696i
\(358\) 2.01525e6 + 2.50161e6i 0.831041 + 1.03160i
\(359\) 1.13072e6i 0.463042i −0.972830 0.231521i \(-0.925630\pi\)
0.972830 0.231521i \(-0.0743701\pi\)
\(360\) 418778. + 837632.i 0.170305 + 0.340641i
\(361\) 2.38485e6i 0.963148i
\(362\) −968553. + 780249.i −0.388465 + 0.312941i
\(363\) 159823. + 159823.i 0.0636607 + 0.0636607i
\(364\) 2.66091e6 + 4.14342e6i 1.05263 + 1.63910i
\(365\) −1.03578e6 + 1.03578e6i −0.406943 + 0.406943i
\(366\) −299528. 32251.8i −0.116878 0.0125849i
\(367\) −2.60349e6 −1.00900 −0.504500 0.863412i \(-0.668323\pi\)
−0.504500 + 0.863412i \(0.668323\pi\)
\(368\) 843684. 1.84424e6i 0.324758 0.709900i
\(369\) 4.02315e6 1.53816
\(370\) −1.50871e6 162452.i −0.572931 0.0616907i
\(371\) −2.15303e6 + 2.15303e6i −0.812112 + 0.812112i
\(372\) −975289. + 626332.i −0.365406 + 0.234664i
\(373\) 2.30596e6 + 2.30596e6i 0.858183 + 0.858183i 0.991124 0.132941i \(-0.0424422\pi\)
−0.132941 + 0.991124i \(0.542442\pi\)
\(374\) 2.72200e6 2.19280e6i 1.00626 0.810624i
\(375\) 93833.7i 0.0344572i
\(376\) −1.33844e6 + 4.01484e6i −0.488236 + 1.46453i
\(377\) 555266.i 0.201209i
\(378\) 1.31683e6 + 1.63463e6i 0.474024 + 0.588423i
\(379\) 1.35969e6 + 1.35969e6i 0.486229 + 0.486229i 0.907114 0.420885i \(-0.138280\pi\)
−0.420885 + 0.907114i \(0.638280\pi\)
\(380\) 236120. + 51445.3i 0.0838831 + 0.0182762i
\(381\) 715869. 715869.i 0.252651 0.252651i
\(382\) 324738. 3.01589e6i 0.113861 1.05744i
\(383\) 3.34749e6 1.16607 0.583033 0.812449i \(-0.301866\pi\)
0.583033 + 0.812449i \(0.301866\pi\)
\(384\) −38466.0 1.11251e6i −0.0133122 0.385014i
\(385\) −1.53033e6 −0.526180
\(386\) 292329. 2.71490e6i 0.0998626 0.927440i
\(387\) 1.25706e6 1.25706e6i 0.426656 0.426656i
\(388\) 2.10451e6 + 458524.i 0.709694 + 0.154626i
\(389\) −99102.9 99102.9i −0.0332057 0.0332057i 0.690309 0.723515i \(-0.257475\pi\)
−0.723515 + 0.690309i \(0.757475\pi\)
\(390\) 597020. + 741103.i 0.198759 + 0.246727i
\(391\) 2.74545e6i 0.908178i
\(392\) −117483. + 352406.i −0.0386153 + 0.115832i
\(393\) 1.23075e6i 0.401966i
\(394\) −434324. + 349884.i −0.140953 + 0.113549i
\(395\) −17943.0 17943.0i −0.00578630 0.00578630i
\(396\) −2.48364e6 + 1.59500e6i −0.795886 + 0.511119i
\(397\) 1.95052e6 1.95052e6i 0.621117 0.621117i −0.324700 0.945817i \(-0.605263\pi\)
0.945817 + 0.324700i \(0.105263\pi\)
\(398\) −3.51648e6 378639.i −1.11276 0.119817i
\(399\) 249123. 0.0783397
\(400\) −266244. + 581991.i −0.0832013 + 0.181872i
\(401\) 965925. 0.299973 0.149987 0.988688i \(-0.452077\pi\)
0.149987 + 0.988688i \(0.452077\pi\)
\(402\) 1.43716e6 + 154747.i 0.443548 + 0.0477593i
\(403\) 4.77906e6 4.77906e6i 1.46582 1.46582i
\(404\) −3.06861e6 4.77827e6i −0.935381 1.45652i
\(405\) −602080. 602080.i −0.182396 0.182396i
\(406\) 299779. 241497.i 0.0902581 0.0727104i
\(407\) 4.78278e6i 1.43118i
\(408\) −673876. 1.34787e6i −0.200415 0.400866i
\(409\) 2.85724e6i 0.844576i −0.906462 0.422288i \(-0.861227\pi\)
0.906462 0.422288i \(-0.138773\pi\)
\(410\) 1.72485e6 + 2.14112e6i 0.506747 + 0.629044i
\(411\) 607688. + 607688.i 0.177450 + 0.177450i
\(412\) 1.01856e6 4.67491e6i 0.295625 1.35684i
\(413\) −3.38765e6 + 3.38765e6i −0.977289 + 0.977289i
\(414\) −248201. + 2.30509e6i −0.0711711 + 0.660977i
\(415\) 1.50873e6 0.430023
\(416\) 1.60013e6 + 6.29058e6i 0.453338 + 1.78220i
\(417\) −153447. −0.0432133
\(418\) −81543.5 + 757307.i −0.0228270 + 0.211998i
\(419\) 2.56222e6 2.56222e6i 0.712988 0.712988i −0.254171 0.967159i \(-0.581803\pi\)
0.967159 + 0.254171i \(0.0818028\pi\)
\(420\) −140453. + 644642.i −0.0388514 + 0.178318i
\(421\) −1.73946e6 1.73946e6i −0.478310 0.478310i 0.426281 0.904591i \(-0.359824\pi\)
−0.904591 + 0.426281i \(0.859824\pi\)
\(422\) −223318. 277212.i −0.0610438 0.0757760i
\(423\) 4.83796e6i 1.31465i
\(424\) −3.58991e6 + 1.79479e6i −0.969769 + 0.484841i
\(425\) 866389.i 0.232670i
\(426\) 81069.1 65307.8i 0.0216437 0.0174358i
\(427\) 861137. + 861137.i 0.228561 + 0.228561i
\(428\) −2.80062e6 4.36097e6i −0.739001 1.15073i
\(429\) −2.12100e6 + 2.12100e6i −0.556412 + 0.556412i
\(430\) 1.20794e6 + 130066.i 0.315047 + 0.0339229i
\(431\) −5.18194e6 −1.34369 −0.671845 0.740692i \(-0.734498\pi\)
−0.671845 + 0.740692i \(0.734498\pi\)
\(432\) 965237. + 2.59305e6i 0.248843 + 0.668500i
\(433\) −1.99786e6 −0.512088 −0.256044 0.966665i \(-0.582419\pi\)
−0.256044 + 0.966665i \(0.582419\pi\)
\(434\) 4.65864e6 + 501622.i 1.18723 + 0.127836i
\(435\) 52605.9 52605.9i 0.0133294 0.0133294i
\(436\) 152010. 97621.0i 0.0382962 0.0245939i
\(437\) 423038. + 423038.i 0.105968 + 0.105968i
\(438\) −1.55006e6 + 1.24870e6i −0.386068 + 0.311010i
\(439\) 3.92238e6i 0.971378i −0.874132 0.485689i \(-0.838569\pi\)
0.874132 0.485689i \(-0.161431\pi\)
\(440\) −1.91367e6 637967.i −0.471232 0.157096i
\(441\) 424657.i 0.103978i
\(442\) 5.51243e6 + 6.84278e6i 1.34211 + 1.66601i
\(443\) −2.41985e6 2.41985e6i −0.585840 0.585840i 0.350662 0.936502i \(-0.385957\pi\)
−0.936502 + 0.350662i \(0.885957\pi\)
\(444\) −2.01471e6 438960.i −0.485015 0.105674i
\(445\) −1.14009e6 + 1.14009e6i −0.272923 + 0.272923i
\(446\) −71415.3 + 663245.i −0.0170002 + 0.157884i
\(447\) 262197. 0.0620667
\(448\) −2.70025e6 + 3.59979e6i −0.635637 + 0.847387i
\(449\) −3.44112e6 −0.805533 −0.402767 0.915303i \(-0.631951\pi\)
−0.402767 + 0.915303i \(0.631951\pi\)
\(450\) 78325.7 727423.i 0.0182336 0.169339i
\(451\) −6.12776e6 + 6.12776e6i −1.41860 + 1.41860i
\(452\) 4.85621e6 + 1.05806e6i 1.11802 + 0.243592i
\(453\) 734617. + 734617.i 0.168196 + 0.168196i
\(454\) −604983. 750988.i −0.137754 0.170999i
\(455\) 3.84708e6i 0.871169i
\(456\) 311526. + 103855.i 0.0701588 + 0.0233891i
\(457\) 4.04376e6i 0.905721i 0.891581 + 0.452861i \(0.149597\pi\)
−0.891581 + 0.452861i \(0.850403\pi\)
\(458\) −1.10527e6 + 890390.i −0.246210 + 0.198343i
\(459\) 2.64854e6 + 2.64854e6i 0.586780 + 0.586780i
\(460\) −1.33318e6 + 856168.i −0.293760 + 0.188653i
\(461\) 1.54404e6 1.54404e6i 0.338381 0.338381i −0.517377 0.855758i \(-0.673091\pi\)
0.855758 + 0.517377i \(0.173091\pi\)
\(462\) −2.06755e6 222625.i −0.450663 0.0485254i
\(463\) 1.79699e6 0.389577 0.194788 0.980845i \(-0.437598\pi\)
0.194788 + 0.980845i \(0.437598\pi\)
\(464\) 475546. 177017.i 0.102541 0.0381699i
\(465\) 905536. 0.194211
\(466\) 1.59988e6 + 172268.i 0.341289 + 0.0367485i
\(467\) −1.57560e6 + 1.57560e6i −0.334314 + 0.334314i −0.854222 0.519908i \(-0.825966\pi\)
0.519908 + 0.854222i \(0.325966\pi\)
\(468\) −4.00963e6 6.24358e6i −0.846233 1.31771i
\(469\) −4.13181e6 4.13181e6i −0.867379 0.867379i
\(470\) 2.57476e6 2.07418e6i 0.537641 0.433114i
\(471\) 2.46360e6i 0.511704i
\(472\) −5.64847e6 + 2.82398e6i −1.16701 + 0.583453i
\(473\) 3.82931e6i 0.786987i
\(474\) −21631.5 26852.0i −0.00442223 0.00548948i
\(475\) −133499. 133499.i −0.0271485 0.0271485i
\(476\) −1.29683e6 + 5.95213e6i −0.262342 + 1.20408i
\(477\) 3.24433e6 3.24433e6i 0.652874 0.652874i
\(478\) −645568. + 5.99549e6i −0.129233 + 1.20020i
\(479\) −5.68108e6 −1.13134 −0.565669 0.824633i \(-0.691382\pi\)
−0.565669 + 0.824633i \(0.691382\pi\)
\(480\) −444373. + 747566.i −0.0880329 + 0.148097i
\(481\) 1.20233e7 2.36953
\(482\) −274996. + 2.55393e6i −0.0539150 + 0.500717i
\(483\) −1.15495e6 + 1.15495e6i −0.225266 + 0.225266i
\(484\) 256392. 1.17678e6i 0.0497499 0.228339i
\(485\) −1.18986e6 1.18986e6i −0.229690 0.229690i
\(486\) −3.05595e6 3.79347e6i −0.586889 0.728527i
\(487\) 3.96622e6i 0.757800i 0.925438 + 0.378900i \(0.123698\pi\)
−0.925438 + 0.378900i \(0.876302\pi\)
\(488\) 717852. + 1.43583e6i 0.136454 + 0.272932i
\(489\) 3.29640e6i 0.623402i
\(490\) 226002. 182063.i 0.0425228 0.0342556i
\(491\) −4.60147e6 4.60147e6i −0.861376 0.861376i 0.130122 0.991498i \(-0.458463\pi\)
−0.991498 + 0.130122i \(0.958463\pi\)
\(492\) 2.01887e6 + 3.14367e6i 0.376007 + 0.585497i
\(493\) 485723. 485723.i 0.0900060 0.0900060i
\(494\) −1.90378e6 204991.i −0.350994 0.0377934i
\(495\) 2.30601e6 0.423008
\(496\) 5.61647e6 + 2.56937e6i 1.02508 + 0.468946i
\(497\) −420831. −0.0764217
\(498\) 2.03837e6 + 219483.i 0.368307 + 0.0396576i
\(499\) −5.24693e6 + 5.24693e6i −0.943309 + 0.943309i −0.998477 0.0551681i \(-0.982431\pi\)
0.0551681 + 0.998477i \(0.482431\pi\)
\(500\) 420715. 270184.i 0.0752597 0.0483319i
\(501\) 1.48732e6 + 1.48732e6i 0.264735 + 0.264735i
\(502\) −1.65816e6 + 1.33578e6i −0.293674 + 0.236579i
\(503\) 8.04275e6i 1.41738i −0.705522 0.708688i \(-0.749288\pi\)
0.705522 0.708688i \(-0.250712\pi\)
\(504\) 1.62693e6 4.88019e6i 0.285294 0.855777i
\(505\) 4.43653e6i 0.774131i
\(506\) −3.13289e6 3.88897e6i −0.543963 0.675241i
\(507\) −3.75526e6 3.75526e6i −0.648814 0.648814i
\(508\) −5.27095e6 1.14842e6i −0.906212 0.197443i
\(509\) −6.36596e6 + 6.36596e6i −1.08910 + 1.08910i −0.0934829 + 0.995621i \(0.529800\pi\)
−0.995621 + 0.0934829i \(0.970200\pi\)
\(510\) −126038. + 1.17053e6i −0.0214573 + 0.199277i
\(511\) 8.04640e6 1.36317
\(512\) −4.87732e6 + 3.37582e6i −0.822254 + 0.569120i
\(513\) −816213. −0.136934
\(514\) 903877. 8.39445e6i 0.150904 1.40147i
\(515\) −2.64313e6 + 2.64313e6i −0.439138 + 0.439138i
\(516\) 1.61307e6 + 351451.i 0.266703 + 0.0581086i
\(517\) 7.36882e6 + 7.36882e6i 1.21247 + 1.21247i
\(518\) 5.22920e6 + 6.49120e6i 0.856271 + 1.06292i
\(519\) 2.10657e6i 0.343286i
\(520\) 1.60377e6 4.81073e6i 0.260096 0.780195i
\(521\) 708657.i 0.114378i 0.998363 + 0.0571889i \(0.0182137\pi\)
−0.998363 + 0.0571889i \(0.981786\pi\)
\(522\) −451727. + 363903.i −0.0725604 + 0.0584534i
\(523\) 2.35262e6 + 2.35262e6i 0.376095 + 0.376095i 0.869691 0.493596i \(-0.164318\pi\)
−0.493596 + 0.869691i \(0.664318\pi\)
\(524\) 5.51823e6 3.54382e6i 0.877954 0.563823i
\(525\) 364472. 364472.i 0.0577120 0.0577120i
\(526\) −9.27634e6 998835.i −1.46188 0.157409i
\(527\) 8.36103e6 1.31139
\(528\) −2.49265e6 1.14031e6i −0.389114 0.178008i
\(529\) 2.51387e6 0.390574
\(530\) 3.11758e6 + 335687.i 0.482089 + 0.0519092i
\(531\) 5.10473e6 5.10473e6i 0.785664 0.785664i
\(532\) −717322. 1.11697e6i −0.109884 0.171105i
\(533\) −1.54045e7 1.54045e7i −2.34871 2.34871i
\(534\) −1.70618e6 + 1.37447e6i −0.258923 + 0.208584i
\(535\) 4.04907e6i 0.611605i
\(536\) −3.44432e6 6.88927e6i −0.517835 1.03576i
\(537\) 3.41027e6i 0.510332i
\(538\) 6.13507e6 + 7.61570e6i 0.913827 + 1.13437i
\(539\) 646805. + 646805.i 0.0958962 + 0.0958962i
\(540\) 460172. 2.11207e6i 0.0679103 0.311691i
\(541\) 6.69433e6 6.69433e6i 0.983363 0.983363i −0.0165012 0.999864i \(-0.505253\pi\)
0.999864 + 0.0165012i \(0.00525272\pi\)
\(542\) 946194. 8.78746e6i 0.138351 1.28489i
\(543\) 1.32036e6 0.192173
\(544\) −4.10301e6 + 6.90246e6i −0.594436 + 1.00002i
\(545\) −141138. −0.0203542
\(546\) 559653. 5.19759e6i 0.0803410 0.746140i
\(547\) −4.33543e6 + 4.33543e6i −0.619532 + 0.619532i −0.945411 0.325879i \(-0.894340\pi\)
0.325879 + 0.945411i \(0.394340\pi\)
\(548\) 974872. 4.47441e6i 0.138674 0.636480i
\(549\) −1.29762e6 1.29762e6i −0.183745 0.183745i
\(550\) 988657. + 1.22726e6i 0.139360 + 0.172993i
\(551\) 149687.i 0.0210042i
\(552\) −1.92573e6 + 962780.i −0.268998 + 0.134487i
\(553\) 139389.i 0.0193828i
\(554\) −4.53564e6 + 3.65384e6i −0.627863 + 0.505795i
\(555\) 1.13909e6 + 1.13909e6i 0.156973 + 0.156973i
\(556\) 441833. + 687997.i 0.0606137 + 0.0943842i
\(557\) −6.88535e6 + 6.88535e6i −0.940347 + 0.940347i −0.998318 0.0579716i \(-0.981537\pi\)
0.0579716 + 0.998318i \(0.481537\pi\)
\(558\) −7.01995e6 755877.i −0.954440 0.102770i
\(559\) −9.62643e6 −1.30297
\(560\) 3.29475e6 1.22644e6i 0.443968 0.165263i
\(561\) −3.71071e6 −0.497795
\(562\) 1.23248e6 + 132708.i 0.164603 + 0.0177237i
\(563\) 8.08998e6 8.08998e6i 1.07566 1.07566i 0.0787709 0.996893i \(-0.474900\pi\)
0.996893 0.0787709i \(-0.0250996\pi\)
\(564\) 3.78036e6 2.42776e6i 0.500421 0.321371i
\(565\) −2.74564e6 2.74564e6i −0.361844 0.361844i
\(566\) −3.81451e6 + 3.07291e6i −0.500493 + 0.403189i
\(567\) 4.67724e6i 0.610987i
\(568\) −526245. 175436.i −0.0684411 0.0228165i
\(569\) 4.67050e6i 0.604760i −0.953187 0.302380i \(-0.902219\pi\)
0.953187 0.302380i \(-0.0977811\pi\)
\(570\) −160943. 199785.i −0.0207485 0.0257558i
\(571\) 7.63682e6 + 7.63682e6i 0.980217 + 0.980217i 0.999808 0.0195908i \(-0.00623635\pi\)
−0.0195908 + 0.999808i \(0.506236\pi\)
\(572\) 1.56169e7 + 3.40257e6i 1.99575 + 0.434827i
\(573\) −2.27702e6 + 2.27702e6i −0.289721 + 0.289721i
\(574\) 1.61689e6 1.50163e7i 0.204834 1.90232i
\(575\) 1.23783e6 0.156131
\(576\) 4.06892e6 5.42440e6i 0.511002 0.681233i
\(577\) 1.52565e7 1.90772 0.953861 0.300250i \(-0.0970700\pi\)
0.953861 + 0.300250i \(0.0970700\pi\)
\(578\) −303865. + 2.82204e6i −0.0378322 + 0.351353i
\(579\) −2.04977e6 + 2.04977e6i −0.254103 + 0.254103i
\(580\) −387338. 84392.1i −0.0478101 0.0104167i
\(581\) −5.86027e6 5.86027e6i −0.720241 0.720241i
\(582\) −1.43446e6 1.78065e6i −0.175542 0.217907i
\(583\) 9.88305e6i 1.20426i
\(584\) 1.00619e7 + 3.35439e6i 1.22081 + 0.406987i
\(585\) 5.79703e6i 0.700352i
\(586\) 3.40308e6 2.74146e6i 0.409381 0.329790i
\(587\) 8.60224e6 + 8.60224e6i 1.03043 + 1.03043i 0.999522 + 0.0309029i \(0.00983828\pi\)
0.0309029 + 0.999522i \(0.490162\pi\)
\(588\) 331825. 213098.i 0.0395791 0.0254177i
\(589\) −1.28833e6 + 1.28833e6i −0.153016 + 0.153016i
\(590\) 4.90529e6 + 528180.i 0.580142 + 0.0624671i
\(591\) 592083. 0.0697291
\(592\) 3.83301e6 + 1.02971e7i 0.449506 + 1.20757i
\(593\) 8.02363e6 0.936988 0.468494 0.883467i \(-0.344797\pi\)
0.468494 + 0.883467i \(0.344797\pi\)
\(594\) 6.77403e6 + 729397.i 0.787736 + 0.0848199i
\(595\) 3.36526e6 3.36526e6i 0.389696 0.389696i
\(596\) −754966. 1.17559e6i −0.0870586 0.135563i
\(597\) 2.65497e6 + 2.65497e6i 0.304876 + 0.304876i
\(598\) 9.77642e6 7.87571e6i 1.11796 0.900610i
\(599\) 4.95056e6i 0.563751i 0.959451 + 0.281875i \(0.0909565\pi\)
−0.959451 + 0.281875i \(0.909044\pi\)
\(600\) 607710. 303828.i 0.0689157 0.0344547i
\(601\) 3.46932e6i 0.391794i −0.980624 0.195897i \(-0.937238\pi\)
0.980624 0.195897i \(-0.0627619\pi\)
\(602\) −4.18673e6 5.19715e6i −0.470851 0.584485i
\(603\) 6.22609e6 + 6.22609e6i 0.697304 + 0.697304i
\(604\) 1.17850e6 5.40899e6i 0.131442 0.603287i
\(605\) −665334. + 665334.i −0.0739011 + 0.0739011i
\(606\) −645403. + 5.99396e6i −0.0713919 + 0.663028i
\(607\) −1.60915e7 −1.77266 −0.886329 0.463056i \(-0.846753\pi\)
−0.886329 + 0.463056i \(0.846753\pi\)
\(608\) −431360. 1.69580e6i −0.0473239 0.186044i
\(609\) −408668. −0.0446506
\(610\) 134263. 1.24692e6i 0.0146093 0.135679i
\(611\) −1.85243e7 + 1.85243e7i −2.00743 + 2.00743i
\(612\) 1.95416e6 8.96907e6i 0.210902 0.967985i
\(613\) 1.10810e7 + 1.10810e7i 1.19105 + 1.19105i 0.976774 + 0.214272i \(0.0687380\pi\)
0.214272 + 0.976774i \(0.431262\pi\)
\(614\) −3.11551e6 3.86740e6i −0.333509 0.413998i
\(615\) 2.91884e6i 0.311188i
\(616\) 4.95513e6 + 9.91116e6i 0.526142 + 1.05238i
\(617\) 1.27858e7i 1.35211i −0.736849 0.676057i \(-0.763687\pi\)
0.736849 0.676057i \(-0.236313\pi\)
\(618\) −3.95550e6 + 3.18649e6i −0.416611 + 0.335615i
\(619\) −7.49659e6 7.49659e6i −0.786388 0.786388i 0.194512 0.980900i \(-0.437688\pi\)
−0.980900 + 0.194512i \(0.937688\pi\)
\(620\) −2.60739e6 4.06008e6i −0.272412 0.424185i
\(621\) 3.78403e6 3.78403e6i 0.393754 0.393754i
\(622\) −1.48149e7 1.59520e6i −1.53541 0.165326i
\(623\) 8.85680e6 0.914232
\(624\) 2.86661e6 6.26622e6i 0.294719 0.644235i
\(625\) −390625. −0.0400000
\(626\) −6.11828e6 658789.i −0.624013 0.0671909i
\(627\) 571774. 571774.i 0.0580838 0.0580838i
\(628\) −1.10459e7 + 7.09367e6i −1.11764 + 0.717748i
\(629\) 1.05175e7 + 1.05175e7i 1.05995 + 1.05995i
\(630\) −3.12972e6 + 2.52125e6i −0.314162 + 0.253084i
\(631\) 7.02682e6i 0.702563i −0.936270 0.351282i \(-0.885746\pi\)
0.936270 0.351282i \(-0.114254\pi\)
\(632\) −58108.7 + 174305.i −0.00578693 + 0.0173587i
\(633\) 377904.i 0.0374863i
\(634\) −2.25908e6 2.80428e6i −0.223208 0.277076i
\(635\) 2.98013e6 + 2.98013e6i 0.293292 + 0.293292i
\(636\) 4.16316e6 + 907057.i 0.408113 + 0.0889185i
\(637\) −1.62599e6 + 1.62599e6i −0.158770 + 0.158770i
\(638\) 133766. 1.24231e6i 0.0130105 0.120831i
\(639\) 634136. 0.0614370
\(640\) 4.63133e6 160132.i 0.446947 0.0154536i
\(641\) 1.07957e7 1.03778 0.518892 0.854840i \(-0.326345\pi\)
0.518892 + 0.854840i \(0.326345\pi\)
\(642\) −589038. + 5.47049e6i −0.0564034 + 0.523828i
\(643\) 6.71091e6 6.71091e6i 0.640109 0.640109i −0.310473 0.950582i \(-0.600488\pi\)
0.950582 + 0.310473i \(0.100488\pi\)
\(644\) 8.50393e6 + 1.85281e6i 0.807988 + 0.176042i
\(645\) −912008. 912008.i −0.0863176 0.0863176i
\(646\) −1.48603e6 1.84466e6i −0.140102 0.173914i
\(647\) 1.14841e7i 1.07854i 0.842134 + 0.539269i \(0.181299\pi\)
−0.842134 + 0.539269i \(0.818701\pi\)
\(648\) −1.94985e6 + 5.84884e6i −0.182416 + 0.547183i
\(649\) 1.55503e7i 1.44919i
\(650\) −3.08518e6 + 2.48536e6i −0.286415 + 0.230731i
\(651\) −3.51732e6 3.51732e6i −0.325281 0.325281i
\(652\) −1.47798e7 + 9.49163e6i −1.36160 + 0.874424i
\(653\) −535257. + 535257.i −0.0491224 + 0.0491224i −0.731241 0.682119i \(-0.761059\pi\)
0.682119 + 0.731241i \(0.261059\pi\)
\(654\) −190684. 20532.0i −0.0174329 0.00187710i
\(655\) −5.12357e6 −0.466626
\(656\) 8.28192e6 1.81037e7i 0.751401 1.64251i
\(657\) −1.21248e7 −1.09588
\(658\) −1.80576e7 1.94436e6i −1.62590 0.175070i
\(659\) −1.11623e7 + 1.11623e7i −1.00125 + 1.00125i −0.00124901 + 0.999999i \(0.500398\pi\)
−0.999999 + 0.00124901i \(0.999602\pi\)
\(660\) 1.15719e6 + 1.80191e6i 0.103406 + 0.161017i
\(661\) −7.45770e6 7.45770e6i −0.663898 0.663898i 0.292399 0.956296i \(-0.405546\pi\)
−0.956296 + 0.292399i \(0.905546\pi\)
\(662\) 4.82837e6 3.88965e6i 0.428209 0.344958i
\(663\) 9.32829e6i 0.824173i
\(664\) −4.88518e6 9.77125e6i −0.429992 0.860062i
\(665\) 1.03709e6i 0.0909413i
\(666\) −7.87971e6 9.78137e6i −0.688374 0.854504i
\(667\) −693962. 693962.i −0.0603978 0.0603978i
\(668\) 2.38601e6 1.09512e7i 0.206886 0.949553i
\(669\) 500756. 500756.i 0.0432574 0.0432574i
\(670\) −644205. + 5.98283e6i −0.0554418 + 0.514897i
\(671\) 3.95287e6 0.338927
\(672\) 4.62978e6 1.17767e6i 0.395491 0.100601i
\(673\) −1.29160e7 −1.09924 −0.549619 0.835415i \(-0.685227\pi\)
−0.549619 + 0.835415i \(0.685227\pi\)
\(674\) −1.11026e6 + 1.03112e7i −0.0941406 + 0.874298i
\(675\) −1.19414e6 + 1.19414e6i −0.100878 + 0.100878i
\(676\) −6.02431e6 + 2.76500e7i −0.507038 + 2.32717i
\(677\) −4.19969e6 4.19969e6i −0.352164 0.352164i 0.508750 0.860914i \(-0.330108\pi\)
−0.860914 + 0.508750i \(0.830108\pi\)
\(678\) −3.31006e6 4.10891e6i −0.276543 0.343283i
\(679\) 9.24340e6i 0.769409i
\(680\) 5.61114e6 2.80531e6i 0.465349 0.232653i
\(681\) 1.02377e6i 0.0845931i
\(682\) 1.18436e7 9.54097e6i 0.975037 0.785473i
\(683\) −312963. 312963.i −0.0256709 0.0256709i 0.694155 0.719826i \(-0.255778\pi\)
−0.719826 + 0.694155i \(0.755778\pi\)
\(684\) 1.08091e6 + 1.68313e6i 0.0883382 + 0.137555i
\(685\) −2.52977e6 + 2.52977e6i −0.205994 + 0.205994i
\(686\) 1.13964e7 + 1.22712e6i 0.924609 + 0.0995578i
\(687\) 1.50674e6 0.121800
\(688\) −3.06888e6 8.24435e6i −0.247177 0.664026i
\(689\) −2.48448e7 −1.99383
\(690\) 1.67236e6 + 180073.i 0.133724 + 0.0143988i
\(691\) −1.29802e7 + 1.29802e7i −1.03416 + 1.03416i −0.0347642 + 0.999396i \(0.511068\pi\)
−0.999396 + 0.0347642i \(0.988932\pi\)
\(692\) 9.44504e6 6.06562e6i 0.749788 0.481515i
\(693\) −8.95709e6 8.95709e6i −0.708490 0.708490i
\(694\) −3.85903e6 + 3.10877e6i −0.304145 + 0.245014i
\(695\) 638791.i 0.0501645i
\(696\) −511035. 170366.i −0.0399878 0.0133309i
\(697\) 2.69503e7i 2.10127i
\(698\) 2.19193e6 + 2.72093e6i 0.170290 + 0.211387i
\(699\) −1.20792e6 1.20792e6i −0.0935073 0.0935073i
\(700\) −2.68361e6 584698.i −0.207002 0.0451010i
\(701\) 1.09728e7 1.09728e7i 0.843376 0.843376i −0.145921 0.989296i \(-0.546614\pi\)
0.989296 + 0.145921i \(0.0466144\pi\)
\(702\) −1.83362e6 + 1.70291e7i −0.140432 + 1.30421i
\(703\) −3.24123e6 −0.247355
\(704\) 2.06457e6 + 1.44595e7i 0.156999 + 1.09957i
\(705\) −3.50999e6 −0.265970
\(706\) 869994. 8.07977e6i 0.0656908 0.610081i
\(707\) 1.72325e7 1.72325e7i 1.29658 1.29658i
\(708\) 6.55044e6 + 1.42719e6i 0.491120 + 0.107004i
\(709\) 1.95276e6 + 1.95276e6i 0.145892 + 0.145892i 0.776280 0.630388i \(-0.217104\pi\)
−0.630388 + 0.776280i \(0.717104\pi\)
\(710\) 271873. + 337486.i 0.0202405 + 0.0251253i
\(711\) 210041.i 0.0155823i
\(712\) 1.10753e7 + 3.69223e6i 0.818761 + 0.272953i
\(713\) 1.19456e7i 0.880001i
\(714\) 5.03619e6 4.05706e6i 0.369706 0.297829i
\(715\) −8.82960e6 8.82960e6i −0.645916 0.645916i
\(716\) −1.52904e7 + 9.81950e6i −1.11464 + 0.715825i
\(717\) 4.52665e6 4.52665e6i 0.328836 0.328836i
\(718\) 6.35957e6 + 684771.i 0.460380 + 0.0495717i
\(719\) 2.06195e7 1.48750 0.743748 0.668460i \(-0.233046\pi\)
0.743748 + 0.668460i \(0.233046\pi\)
\(720\) −4.96474e6 + 1.84808e6i −0.356916 + 0.132858i
\(721\) 2.05331e7 1.47101
\(722\) −1.34132e7 1.44428e6i −0.957613 0.103111i
\(723\) 1.92824e6 1.92824e6i 0.137188 0.137188i
\(724\) −3.80183e6 5.91999e6i −0.269554 0.419735i
\(725\) 218996. + 218996.i 0.0154736 + 0.0154736i
\(726\) −995686. + 802108.i −0.0701102 + 0.0564796i
\(727\) 3.37651e6i 0.236937i 0.992958 + 0.118468i \(0.0377984\pi\)
−0.992958 + 0.118468i \(0.962202\pi\)
\(728\) −2.49155e7 + 1.24566e7i −1.74237 + 0.871106i
\(729\) 3.10491e6i 0.216386i
\(730\) −5.19829e6 6.45283e6i −0.361038 0.448170i
\(731\) −8.42079e6 8.42079e6i −0.582853 0.582853i
\(732\) 362791. 1.66512e6i 0.0250252 0.114859i
\(733\) 7.30970e6 7.30970e6i 0.502504 0.502504i −0.409711 0.912215i \(-0.634371\pi\)
0.912215 + 0.409711i \(0.134371\pi\)
\(734\) 1.57669e6 1.46429e7i 0.108020 1.00320i
\(735\) −308093. −0.0210360
\(736\) 9.86168e6 + 5.86205e6i 0.671052 + 0.398891i
\(737\) −1.89662e7 −1.28621
\(738\) −2.43644e6 + 2.26276e7i −0.164670 + 1.52932i
\(739\) 1.17792e7 1.17792e7i 0.793425 0.793425i −0.188624 0.982049i \(-0.560403\pi\)
0.982049 + 0.188624i \(0.0604028\pi\)
\(740\) 1.82737e6 8.38714e6i 0.122672 0.563034i
\(741\) 1.43737e6 + 1.43737e6i 0.0961663 + 0.0961663i
\(742\) −1.08055e7 1.34133e7i −0.720503 0.894387i
\(743\) 1.71523e6i 0.113986i −0.998375 0.0569928i \(-0.981849\pi\)
0.998375 0.0569928i \(-0.0181512\pi\)
\(744\) −2.93207e6 5.86467e6i −0.194197 0.388429i
\(745\) 1.09151e6i 0.0720506i
\(746\) −1.43660e7 + 1.15730e7i −0.945125 + 0.761376i
\(747\) 8.83065e6 + 8.83065e6i 0.579017 + 0.579017i
\(748\) 1.06846e7 + 1.66374e7i 0.698238 + 1.08726i
\(749\) 1.57275e7 1.57275e7i 1.02437 1.02437i
\(750\) −527753. 56826.1i −0.0342592 0.00368888i
\(751\) 7.55264e6 0.488651 0.244326 0.969693i \(-0.421433\pi\)
0.244326 + 0.969693i \(0.421433\pi\)
\(752\) −2.17703e7 9.95926e6i −1.40385 0.642218i
\(753\) 2.26045e6 0.145280
\(754\) 3.12301e6 + 336272.i 0.200053 + 0.0215408i
\(755\) −3.05817e6 + 3.05817e6i −0.195252 + 0.195252i
\(756\) −9.99120e6 + 6.41636e6i −0.635789 + 0.408305i
\(757\) 3.03553e6 + 3.03553e6i 0.192529 + 0.192529i 0.796788 0.604259i \(-0.206531\pi\)
−0.604259 + 0.796788i \(0.706531\pi\)
\(758\) −8.47077e6 + 6.82391e6i −0.535488 + 0.431380i
\(759\) 5.30157e6i 0.334041i
\(760\) −432341. + 1.29687e6i −0.0271514 + 0.0814445i
\(761\) 1.66504e7i 1.04223i 0.853486 + 0.521115i \(0.174484\pi\)
−0.853486 + 0.521115i \(0.825516\pi\)
\(762\) 3.59276e6 + 4.45983e6i 0.224151 + 0.278247i
\(763\)