Properties

Label 80.6.l.a.21.4
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 21.4
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.55875 + 1.04896i) q^{2} +(9.77316 - 9.77316i) q^{3} +(29.7994 - 11.6618i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-44.0749 + 64.5782i) q^{6} +103.649i q^{7} +(-153.414 + 96.0835i) q^{8} +51.9707i q^{9} +O(q^{10})\) \(q+(-5.55875 + 1.04896i) q^{2} +(9.77316 - 9.77316i) q^{3} +(29.7994 - 11.6618i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-44.0749 + 64.5782i) q^{6} +103.649i q^{7} +(-153.414 + 96.0835i) q^{8} +51.9707i q^{9} +(-116.809 - 79.7225i) q^{10} +(1.18069 + 1.18069i) q^{11} +(177.261 - 405.207i) q^{12} +(-196.412 + 196.412i) q^{13} +(-108.724 - 576.159i) q^{14} +345.533 q^{15} +(752.004 - 695.029i) q^{16} +274.760 q^{17} +(-54.5152 - 288.892i) q^{18} +(-464.105 + 464.105i) q^{19} +(732.937 + 320.630i) q^{20} +(1012.98 + 1012.98i) q^{21} +(-7.80165 - 5.32466i) q^{22} +3172.08i q^{23} +(-560.304 + 2438.38i) q^{24} +625.000i q^{25} +(885.777 - 1297.83i) q^{26} +(2882.80 + 2882.80i) q^{27} +(1208.74 + 3088.68i) q^{28} +(-3615.12 + 3615.12i) q^{29} +(-1920.73 + 362.451i) q^{30} +8594.55 q^{31} +(-3451.14 + 4652.32i) q^{32} +23.0781 q^{33} +(-1527.32 + 288.212i) q^{34} +(-1832.27 + 1832.27i) q^{35} +(606.073 + 1548.69i) q^{36} +(5380.92 + 5380.92i) q^{37} +(2093.02 - 3066.67i) q^{38} +3839.13i q^{39} +(-4410.54 - 1013.48i) q^{40} -12794.9i q^{41} +(-6693.47 - 4568.32i) q^{42} +(2059.02 + 2059.02i) q^{43} +(48.9528 + 21.4148i) q^{44} +(-918.721 + 918.721i) q^{45} +(-3327.38 - 17632.8i) q^{46} -19.2201 q^{47} +(556.822 - 14142.1i) q^{48} +6063.86 q^{49} +(-655.600 - 3474.22i) q^{50} +(2685.27 - 2685.27i) q^{51} +(-3562.43 + 8143.48i) q^{52} +(2845.02 + 2845.02i) q^{53} +(-19048.7 - 13000.8i) q^{54} +41.7437i q^{55} +(-9958.97 - 15901.3i) q^{56} +9071.55i q^{57} +(16303.4 - 23887.7i) q^{58} +(-16076.8 - 16076.8i) q^{59} +(10296.7 - 4029.55i) q^{60} +(28235.3 - 28235.3i) q^{61} +(-47774.9 + 9015.34i) q^{62} -5386.72 q^{63} +(14303.9 - 29481.2i) q^{64} -6944.22 q^{65} +(-128.286 + 24.2081i) q^{66} +(-41683.6 + 41683.6i) q^{67} +(8187.66 - 3204.20i) q^{68} +(31001.2 + 31001.2i) q^{69} +(8263.17 - 12107.1i) q^{70} +25386.5i q^{71} +(-4993.52 - 7973.05i) q^{72} -24731.7i q^{73} +(-35555.5 - 24266.8i) q^{74} +(6108.22 + 6108.22i) q^{75} +(-8417.73 + 19242.4i) q^{76} +(-122.377 + 122.377i) q^{77} +(-4027.10 - 21340.8i) q^{78} +8180.40 q^{79} +(25580.2 + 1007.18i) q^{80} +43719.2 q^{81} +(13421.3 + 71123.4i) q^{82} +(-73736.2 + 73736.2i) q^{83} +(41999.3 + 18373.0i) q^{84} +(4857.11 + 4857.11i) q^{85} +(-13605.4 - 9285.75i) q^{86} +70662.3i q^{87} +(-294.579 - 67.6900i) q^{88} -31074.5i q^{89} +(4143.24 - 6070.64i) q^{90} +(-20357.9 - 20357.9i) q^{91} +(36992.2 + 94525.8i) q^{92} +(83995.9 - 83995.9i) q^{93} +(106.840 - 20.1611i) q^{94} -16408.6 q^{95} +(11739.3 + 79196.4i) q^{96} +48319.6 q^{97} +(-33707.5 + 6360.75i) q^{98} +(-61.3613 + 61.3613i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.55875 + 1.04896i −0.982657 + 0.185432i
\(3\) 9.77316 9.77316i 0.626948 0.626948i −0.320351 0.947299i \(-0.603801\pi\)
0.947299 + 0.320351i \(0.103801\pi\)
\(4\) 29.7994 11.6618i 0.931230 0.364432i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −44.0749 + 64.5782i −0.499819 + 0.732332i
\(7\) 103.649i 0.799504i 0.916623 + 0.399752i \(0.130904\pi\)
−0.916623 + 0.399752i \(0.869096\pi\)
\(8\) −153.414 + 96.0835i −0.847503 + 0.530791i
\(9\) 51.9707i 0.213871i
\(10\) −116.809 79.7225i −0.369382 0.252105i
\(11\) 1.18069 + 1.18069i 0.00294208 + 0.00294208i 0.708576 0.705634i \(-0.249338\pi\)
−0.705634 + 0.708576i \(0.749338\pi\)
\(12\) 177.261 405.207i 0.355353 0.812313i
\(13\) −196.412 + 196.412i −0.322337 + 0.322337i −0.849663 0.527326i \(-0.823195\pi\)
0.527326 + 0.849663i \(0.323195\pi\)
\(14\) −108.724 576.159i −0.148253 0.785638i
\(15\) 345.533 0.396517
\(16\) 752.004 695.029i 0.734379 0.678740i
\(17\) 274.760 0.230585 0.115292 0.993332i \(-0.463219\pi\)
0.115292 + 0.993332i \(0.463219\pi\)
\(18\) −54.5152 288.892i −0.0396585 0.210162i
\(19\) −464.105 + 464.105i −0.294939 + 0.294939i −0.839028 0.544089i \(-0.816876\pi\)
0.544089 + 0.839028i \(0.316876\pi\)
\(20\) 732.937 + 320.630i 0.409724 + 0.179237i
\(21\) 1012.98 + 1012.98i 0.501248 + 0.501248i
\(22\) −7.80165 5.32466i −0.00343661 0.00234550i
\(23\) 3172.08i 1.25033i 0.780493 + 0.625164i \(0.214968\pi\)
−0.780493 + 0.625164i \(0.785032\pi\)
\(24\) −560.304 + 2438.38i −0.198562 + 0.864119i
\(25\) 625.000i 0.200000i
\(26\) 885.777 1297.83i 0.256975 0.376518i
\(27\) 2882.80 + 2882.80i 0.761035 + 0.761035i
\(28\) 1208.74 + 3088.68i 0.291365 + 0.744522i
\(29\) −3615.12 + 3615.12i −0.798229 + 0.798229i −0.982816 0.184587i \(-0.940905\pi\)
0.184587 + 0.982816i \(0.440905\pi\)
\(30\) −1920.73 + 362.451i −0.389640 + 0.0735269i
\(31\) 8594.55 1.60627 0.803135 0.595797i \(-0.203164\pi\)
0.803135 + 0.595797i \(0.203164\pi\)
\(32\) −3451.14 + 4652.32i −0.595783 + 0.803146i
\(33\) 23.0781 0.00368906
\(34\) −1527.32 + 288.212i −0.226586 + 0.0427578i
\(35\) −1832.27 + 1832.27i −0.252825 + 0.252825i
\(36\) 606.073 + 1548.69i 0.0779415 + 0.199163i
\(37\) 5380.92 + 5380.92i 0.646178 + 0.646178i 0.952067 0.305889i \(-0.0989538\pi\)
−0.305889 + 0.952067i \(0.598954\pi\)
\(38\) 2093.02 3066.67i 0.235133 0.344515i
\(39\) 3839.13i 0.404177i
\(40\) −4410.54 1013.48i −0.435855 0.100153i
\(41\) 12794.9i 1.18871i −0.804203 0.594355i \(-0.797407\pi\)
0.804203 0.594355i \(-0.202593\pi\)
\(42\) −6693.47 4568.32i −0.585502 0.399607i
\(43\) 2059.02 + 2059.02i 0.169820 + 0.169820i 0.786900 0.617080i \(-0.211685\pi\)
−0.617080 + 0.786900i \(0.711685\pi\)
\(44\) 48.9528 + 21.4148i 0.00381194 + 0.00166756i
\(45\) −918.721 + 918.721i −0.0676320 + 0.0676320i
\(46\) −3327.38 17632.8i −0.231851 1.22864i
\(47\) −19.2201 −0.00126914 −0.000634572 1.00000i \(-0.500202\pi\)
−0.000634572 1.00000i \(0.500202\pi\)
\(48\) 556.822 14142.1i 0.0348830 0.885953i
\(49\) 6063.86 0.360794
\(50\) −655.600 3474.22i −0.0370864 0.196531i
\(51\) 2685.27 2685.27i 0.144565 0.144565i
\(52\) −3562.43 + 8143.48i −0.182700 + 0.417639i
\(53\) 2845.02 + 2845.02i 0.139122 + 0.139122i 0.773238 0.634116i \(-0.218636\pi\)
−0.634116 + 0.773238i \(0.718636\pi\)
\(54\) −19048.7 13000.8i −0.888956 0.606716i
\(55\) 41.7437i 0.00186073i
\(56\) −9958.97 15901.3i −0.424370 0.677582i
\(57\) 9071.55i 0.369823i
\(58\) 16303.4 23887.7i 0.636369 0.932403i
\(59\) −16076.8 16076.8i −0.601268 0.601268i 0.339381 0.940649i \(-0.389782\pi\)
−0.940649 + 0.339381i \(0.889782\pi\)
\(60\) 10296.7 4029.55i 0.369249 0.144503i
\(61\) 28235.3 28235.3i 0.971557 0.971557i −0.0280491 0.999607i \(-0.508929\pi\)
0.999607 + 0.0280491i \(0.00892948\pi\)
\(62\) −47774.9 + 9015.34i −1.57841 + 0.297854i
\(63\) −5386.72 −0.170991
\(64\) 14303.9 29481.2i 0.436521 0.899694i
\(65\) −6944.22 −0.203864
\(66\) −128.286 + 24.2081i −0.00362508 + 0.000684069i
\(67\) −41683.6 + 41683.6i −1.13443 + 1.13443i −0.145000 + 0.989432i \(0.546318\pi\)
−0.989432 + 0.145000i \(0.953682\pi\)
\(68\) 8187.66 3204.20i 0.214727 0.0840324i
\(69\) 31001.2 + 31001.2i 0.783891 + 0.783891i
\(70\) 8263.17 12107.1i 0.201559 0.295322i
\(71\) 25386.5i 0.597663i 0.954306 + 0.298832i \(0.0965969\pi\)
−0.954306 + 0.298832i \(0.903403\pi\)
\(72\) −4993.52 7973.05i −0.113521 0.181256i
\(73\) 24731.7i 0.543184i −0.962412 0.271592i \(-0.912450\pi\)
0.962412 0.271592i \(-0.0875502\pi\)
\(74\) −35555.5 24266.8i −0.754793 0.515149i
\(75\) 6108.22 + 6108.22i 0.125390 + 0.125390i
\(76\) −8417.73 + 19242.4i −0.167171 + 0.382142i
\(77\) −122.377 + 122.377i −0.00235220 + 0.00235220i
\(78\) −4027.10 21340.8i −0.0749473 0.397167i
\(79\) 8180.40 0.147471 0.0737355 0.997278i \(-0.476508\pi\)
0.0737355 + 0.997278i \(0.476508\pi\)
\(80\) 25580.2 + 1007.18i 0.446867 + 0.0175947i
\(81\) 43719.2 0.740388
\(82\) 13421.3 + 71123.4i 0.220425 + 1.16809i
\(83\) −73736.2 + 73736.2i −1.17486 + 1.17486i −0.193822 + 0.981037i \(0.562088\pi\)
−0.981037 + 0.193822i \(0.937912\pi\)
\(84\) 41999.3 + 18373.0i 0.649448 + 0.284106i
\(85\) 4857.11 + 4857.11i 0.0729173 + 0.0729173i
\(86\) −13605.4 9285.75i −0.198365 0.135385i
\(87\) 70662.3i 1.00090i
\(88\) −294.579 67.6900i −0.00405505 0.000931789i
\(89\) 31074.5i 0.415842i −0.978146 0.207921i \(-0.933330\pi\)
0.978146 0.207921i \(-0.0666698\pi\)
\(90\) 4143.24 6070.64i 0.0539179 0.0790002i
\(91\) −20357.9 20357.9i −0.257709 0.257709i
\(92\) 36992.2 + 94525.8i 0.455659 + 1.16434i
\(93\) 83995.9 83995.9i 1.00705 1.00705i
\(94\) 106.840 20.1611i 0.00124713 0.000235340i
\(95\) −16408.6 −0.186536
\(96\) 11739.3 + 79196.4i 0.130006 + 0.877056i
\(97\) 48319.6 0.521427 0.260714 0.965416i \(-0.416042\pi\)
0.260714 + 0.965416i \(0.416042\pi\)
\(98\) −33707.5 + 6360.75i −0.354536 + 0.0669026i
\(99\) −61.3613 + 61.3613i −0.000629225 + 0.000629225i
\(100\) 7288.64 + 18624.6i 0.0728864 + 0.186246i
\(101\) −83227.2 83227.2i −0.811824 0.811824i 0.173083 0.984907i \(-0.444627\pi\)
−0.984907 + 0.173083i \(0.944627\pi\)
\(102\) −12110.0 + 17743.5i −0.115251 + 0.168865i
\(103\) 24932.4i 0.231564i −0.993275 0.115782i \(-0.963063\pi\)
0.993275 0.115782i \(-0.0369374\pi\)
\(104\) 11260.5 49004.4i 0.102088 0.444275i
\(105\) 35814.2i 0.317017i
\(106\) −18799.1 12830.4i −0.162507 0.110912i
\(107\) −86761.1 86761.1i −0.732598 0.732598i 0.238536 0.971134i \(-0.423332\pi\)
−0.971134 + 0.238536i \(0.923332\pi\)
\(108\) 119524. + 52286.8i 0.986044 + 0.431353i
\(109\) 108586. 108586.i 0.875399 0.875399i −0.117656 0.993054i \(-0.537538\pi\)
0.993054 + 0.117656i \(0.0375379\pi\)
\(110\) −43.7875 232.043i −0.000345039 0.00182846i
\(111\) 105177. 0.810240
\(112\) 72039.2 + 77944.6i 0.542655 + 0.587139i
\(113\) −96237.1 −0.709000 −0.354500 0.935056i \(-0.615349\pi\)
−0.354500 + 0.935056i \(0.615349\pi\)
\(114\) −9515.70 50426.5i −0.0685770 0.363410i
\(115\) −56074.9 + 56074.9i −0.395388 + 0.395388i
\(116\) −65569.4 + 149887.i −0.452435 + 1.03424i
\(117\) −10207.7 10207.7i −0.0689385 0.0689385i
\(118\) 106230. + 72502.7i 0.702335 + 0.479346i
\(119\) 28478.6i 0.184353i
\(120\) −53009.8 + 33200.0i −0.336049 + 0.210468i
\(121\) 161048.i 0.999983i
\(122\) −127335. + 186571.i −0.774550 + 1.13487i
\(123\) −125046. 125046.i −0.745260 0.745260i
\(124\) 256112. 100228.i 1.49581 0.585376i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) 29943.4 5650.45i 0.168025 0.0317071i
\(127\) −83496.0 −0.459363 −0.229682 0.973266i \(-0.573768\pi\)
−0.229682 + 0.973266i \(0.573768\pi\)
\(128\) −48587.4 + 178883.i −0.262119 + 0.965036i
\(129\) 40246.3 0.212937
\(130\) 38601.1 7284.21i 0.200328 0.0378028i
\(131\) 4990.15 4990.15i 0.0254059 0.0254059i −0.694290 0.719696i \(-0.744281\pi\)
0.719696 + 0.694290i \(0.244281\pi\)
\(132\) 687.714 269.133i 0.00343536 0.00134441i
\(133\) −48104.1 48104.1i −0.235805 0.235805i
\(134\) 187984. 275433.i 0.904398 1.32512i
\(135\) 101922.i 0.481321i
\(136\) −42152.1 + 26399.9i −0.195421 + 0.122392i
\(137\) 319403.i 1.45391i 0.686686 + 0.726954i \(0.259065\pi\)
−0.686686 + 0.726954i \(0.740935\pi\)
\(138\) −204847. 139809.i −0.915655 0.624938i
\(139\) −126010. 126010.i −0.553182 0.553182i 0.374176 0.927358i \(-0.377926\pi\)
−0.927358 + 0.374176i \(0.877926\pi\)
\(140\) −33233.0 + 75968.3i −0.143301 + 0.327576i
\(141\) −187.841 + 187.841i −0.000795689 + 0.000795689i
\(142\) −26629.4 141117.i −0.110826 0.587298i
\(143\) −463.803 −0.00189668
\(144\) 36121.2 + 39082.2i 0.145163 + 0.157062i
\(145\) −127814. −0.504845
\(146\) 25942.6 + 137477.i 0.100724 + 0.533764i
\(147\) 59263.1 59263.1i 0.226199 0.226199i
\(148\) 223099. + 97596.6i 0.837228 + 0.366252i
\(149\) −127764. 127764.i −0.471456 0.471456i 0.430929 0.902386i \(-0.358186\pi\)
−0.902386 + 0.430929i \(0.858186\pi\)
\(150\) −40361.4 27546.8i −0.146466 0.0999638i
\(151\) 313476.i 1.11882i 0.828890 + 0.559412i \(0.188973\pi\)
−0.828890 + 0.559412i \(0.811027\pi\)
\(152\) 26607.6 115793.i 0.0934106 0.406513i
\(153\) 14279.5i 0.0493154i
\(154\) 551.896 808.634i 0.00187523 0.00274758i
\(155\) 151932. + 151932.i 0.507947 + 0.507947i
\(156\) 44771.3 + 114404.i 0.147295 + 0.376382i
\(157\) 252249. 252249.i 0.816734 0.816734i −0.168899 0.985633i \(-0.554021\pi\)
0.985633 + 0.168899i \(0.0540212\pi\)
\(158\) −45472.8 + 8580.91i −0.144913 + 0.0273458i
\(159\) 55609.7 0.174445
\(160\) −143250. + 21234.0i −0.442380 + 0.0655739i
\(161\) −328783. −0.999642
\(162\) −243024. + 45859.7i −0.727547 + 0.137291i
\(163\) 282574. 282574.i 0.833035 0.833035i −0.154896 0.987931i \(-0.549504\pi\)
0.987931 + 0.154896i \(0.0495041\pi\)
\(164\) −149211. 381279.i −0.433204 1.10696i
\(165\) 407.968 + 407.968i 0.00116658 + 0.00116658i
\(166\) 332535. 487228.i 0.936627 1.37234i
\(167\) 52609.2i 0.145972i −0.997333 0.0729861i \(-0.976747\pi\)
0.997333 0.0729861i \(-0.0232529\pi\)
\(168\) −252736. 58075.0i −0.690867 0.158751i
\(169\) 294138.i 0.792198i
\(170\) −32094.4 21904.5i −0.0851739 0.0581315i
\(171\) −24119.9 24119.9i −0.0630790 0.0630790i
\(172\) 85369.4 + 37345.6i 0.220030 + 0.0962539i
\(173\) 538675. 538675.i 1.36839 1.36839i 0.505663 0.862731i \(-0.331248\pi\)
0.862731 0.505663i \(-0.168752\pi\)
\(174\) −74122.0 392794.i −0.185598 0.983539i
\(175\) −64780.7 −0.159901
\(176\) 1708.50 + 67.2693i 0.00415750 + 0.000163695i
\(177\) −314241. −0.753928
\(178\) 32595.9 + 172735.i 0.0771104 + 0.408631i
\(179\) −194994. + 194994.i −0.454871 + 0.454871i −0.896967 0.442097i \(-0.854235\pi\)
0.442097 + 0.896967i \(0.354235\pi\)
\(180\) −16663.3 + 38091.2i −0.0383337 + 0.0876282i
\(181\) −417889. 417889.i −0.948123 0.948123i 0.0505962 0.998719i \(-0.483888\pi\)
−0.998719 + 0.0505962i \(0.983888\pi\)
\(182\) 134519. + 91810.0i 0.301028 + 0.205452i
\(183\) 551897.i 1.21823i
\(184\) −304784. 486642.i −0.663663 1.05966i
\(185\) 190244.i 0.408679i
\(186\) −378803. + 555020.i −0.802845 + 1.17632i
\(187\) 324.406 + 324.406i 0.000678398 + 0.000678398i
\(188\) −572.747 + 224.141i −0.00118187 + 0.000462517i
\(189\) −298799. + 298799.i −0.608450 + 0.608450i
\(190\) 91211.3 17212.0i 0.183301 0.0345897i
\(191\) 497076. 0.985915 0.492957 0.870053i \(-0.335916\pi\)
0.492957 + 0.870053i \(0.335916\pi\)
\(192\) −148330. 427919.i −0.290385 0.837738i
\(193\) 462532. 0.893817 0.446908 0.894580i \(-0.352525\pi\)
0.446908 + 0.894580i \(0.352525\pi\)
\(194\) −268596. + 50685.4i −0.512384 + 0.0966892i
\(195\) −67866.9 + 67866.9i −0.127812 + 0.127812i
\(196\) 180699. 70715.6i 0.335982 0.131485i
\(197\) 286303. + 286303.i 0.525606 + 0.525606i 0.919259 0.393653i \(-0.128789\pi\)
−0.393653 + 0.919259i \(0.628789\pi\)
\(198\) 276.726 405.457i 0.000501634 0.000734991i
\(199\) 1.00987e6i 1.80772i 0.427828 + 0.903860i \(0.359279\pi\)
−0.427828 + 0.903860i \(0.640721\pi\)
\(200\) −60052.2 95884.0i −0.106158 0.169501i
\(201\) 814761.i 1.42246i
\(202\) 549941. + 375337.i 0.948283 + 0.647207i
\(203\) −374704. 374704.i −0.638187 0.638187i
\(204\) 48704.2 111334.i 0.0819391 0.187307i
\(205\) 226183. 226183.i 0.375903 0.375903i
\(206\) 26153.1 + 138593.i 0.0429393 + 0.227548i
\(207\) −164855. −0.267409
\(208\) −11190.5 + 284215.i −0.0179346 + 0.455500i
\(209\) −1095.93 −0.00173547
\(210\) −37567.7 199082.i −0.0587850 0.311519i
\(211\) 277285. 277285.i 0.428765 0.428765i −0.459442 0.888208i \(-0.651951\pi\)
0.888208 + 0.459442i \(0.151951\pi\)
\(212\) 117958. + 51601.7i 0.180255 + 0.0788541i
\(213\) 248106. + 248106.i 0.374704 + 0.374704i
\(214\) 573292. + 391274.i 0.855739 + 0.584045i
\(215\) 72797.4i 0.107404i
\(216\) −719251. 165273.i −1.04893 0.241028i
\(217\) 890817.i 1.28422i
\(218\) −489698. + 717502.i −0.697890 + 1.02254i
\(219\) −241707. 241707.i −0.340549 0.340549i
\(220\) 486.807 + 1243.93i 0.000678110 + 0.00173277i
\(221\) −53966.1 + 53966.1i −0.0743259 + 0.0743259i
\(222\) −584653. + 110327.i −0.796188 + 0.150244i
\(223\) 912396. 1.22863 0.614315 0.789061i \(-0.289432\pi\)
0.614315 + 0.789061i \(0.289432\pi\)
\(224\) −482208. 357708.i −0.642118 0.476331i
\(225\) −32481.7 −0.0427742
\(226\) 534958. 100949.i 0.696704 0.131471i
\(227\) 173993. 173993.i 0.224113 0.224113i −0.586115 0.810228i \(-0.699343\pi\)
0.810228 + 0.586115i \(0.199343\pi\)
\(228\) 105791. + 270326.i 0.134775 + 0.344391i
\(229\) 845428. + 845428.i 1.06534 + 1.06534i 0.997711 + 0.0676288i \(0.0215434\pi\)
0.0676288 + 0.997711i \(0.478457\pi\)
\(230\) 252886. 370527.i 0.315214 0.461849i
\(231\) 2392.03i 0.00294942i
\(232\) 207258. 901965.i 0.252808 1.10019i
\(233\) 33744.0i 0.0407199i 0.999793 + 0.0203599i \(0.00648122\pi\)
−0.999793 + 0.0203599i \(0.993519\pi\)
\(234\) 67449.3 + 46034.4i 0.0805263 + 0.0549595i
\(235\) −339.767 339.767i −0.000401339 0.000401339i
\(236\) −666561. 291593.i −0.779040 0.340798i
\(237\) 79948.3 79948.3i 0.0924567 0.0924567i
\(238\) −29872.9 158305.i −0.0341850 0.181156i
\(239\) 1.42903e6 1.61825 0.809125 0.587637i \(-0.199942\pi\)
0.809125 + 0.587637i \(0.199942\pi\)
\(240\) 259843. 240156.i 0.291194 0.269132i
\(241\) −387370. −0.429619 −0.214809 0.976656i \(-0.568913\pi\)
−0.214809 + 0.976656i \(0.568913\pi\)
\(242\) 168933. + 895226.i 0.185429 + 0.982640i
\(243\) −273245. + 273245.i −0.296850 + 0.296850i
\(244\) 512120. 1.17067e6i 0.550677 1.25881i
\(245\) 107195. + 107195.i 0.114093 + 0.114093i
\(246\) 826269. + 563932.i 0.870530 + 0.594140i
\(247\) 182312.i 0.190140i
\(248\) −1.31853e6 + 825794.i −1.36132 + 0.852594i
\(249\) 1.44127e6i 1.47315i
\(250\) 49826.6 73005.6i 0.0504210 0.0738764i
\(251\) −151092. 151092.i −0.151376 0.151376i 0.627356 0.778732i \(-0.284137\pi\)
−0.778732 + 0.627356i \(0.784137\pi\)
\(252\) −160521. + 62818.9i −0.159232 + 0.0623145i
\(253\) −3745.24 + 3745.24i −0.00367856 + 0.00367856i
\(254\) 464133. 87584.0i 0.451396 0.0851805i
\(255\) 94938.6 0.0914308
\(256\) 82444.2 1.04533e6i 0.0786249 0.996904i
\(257\) −1.10772e6 −1.04616 −0.523081 0.852283i \(-0.675218\pi\)
−0.523081 + 0.852283i \(0.675218\pi\)
\(258\) −223719. + 42216.8i −0.209244 + 0.0394853i
\(259\) −557727. + 557727.i −0.516621 + 0.516621i
\(260\) −206933. + 80982.2i −0.189844 + 0.0742944i
\(261\) −187880. 187880.i −0.170718 0.170718i
\(262\) −22504.5 + 32973.5i −0.0202543 + 0.0296764i
\(263\) 166218.i 0.148179i 0.997252 + 0.0740897i \(0.0236051\pi\)
−0.997252 + 0.0740897i \(0.976395\pi\)
\(264\) −3540.52 + 2217.43i −0.00312649 + 0.00195812i
\(265\) 100587.i 0.0879884i
\(266\) 317858. + 216939.i 0.275441 + 0.187990i
\(267\) −303696. 303696.i −0.260712 0.260712i
\(268\) −756038. + 1.72825e6i −0.642994 + 1.46984i
\(269\) −1.20947e6 + 1.20947e6i −1.01910 + 1.01910i −0.0192827 + 0.999814i \(0.506138\pi\)
−0.999814 + 0.0192827i \(0.993862\pi\)
\(270\) −106912. 566560.i −0.0892522 0.472973i
\(271\) 1.78497e6 1.47641 0.738207 0.674574i \(-0.235673\pi\)
0.738207 + 0.674574i \(0.235673\pi\)
\(272\) 206620. 190966.i 0.169337 0.156507i
\(273\) −397923. −0.323141
\(274\) −335041. 1.77548e6i −0.269601 1.42869i
\(275\) −737.931 + 737.931i −0.000588415 + 0.000588415i
\(276\) 1.28535e6 + 562286.i 1.01566 + 0.444308i
\(277\) −1.21139e6 1.21139e6i −0.948602 0.948602i 0.0501403 0.998742i \(-0.484033\pi\)
−0.998742 + 0.0501403i \(0.984033\pi\)
\(278\) 832638. + 568279.i 0.646166 + 0.441011i
\(279\) 446665.i 0.343535i
\(280\) 105046. 457149.i 0.0800727 0.348468i
\(281\) 2.33417e6i 1.76347i −0.471748 0.881734i \(-0.656377\pi\)
0.471748 0.881734i \(-0.343623\pi\)
\(282\) 847.124 1241.20i 0.000634343 0.000929435i
\(283\) −1.45993e6 1.45993e6i −1.08359 1.08359i −0.996171 0.0874233i \(-0.972137\pi\)
−0.0874233 0.996171i \(-0.527863\pi\)
\(284\) 296052. + 756501.i 0.217807 + 0.556562i
\(285\) −160364. + 160364.i −0.116948 + 0.116948i
\(286\) 2578.17 486.511i 0.00186378 0.000351705i
\(287\) 1.32618e6 0.950378
\(288\) −241784. 179358.i −0.171770 0.127421i
\(289\) −1.34436e6 −0.946831
\(290\) 710485. 134072.i 0.496089 0.0936142i
\(291\) 472235. 472235.i 0.326908 0.326908i
\(292\) −288417. 736990.i −0.197954 0.505830i
\(293\) −268466. 268466.i −0.182692 0.182692i 0.609836 0.792528i \(-0.291235\pi\)
−0.792528 + 0.609836i \(0.791235\pi\)
\(294\) −267264. + 391593.i −0.180332 + 0.264221i
\(295\) 568399.i 0.380275i
\(296\) −1.34253e6 308493.i −0.890622 0.204652i
\(297\) 6807.37i 0.00447804i
\(298\) 844225. + 576187.i 0.550703 + 0.375857i
\(299\) −623034. 623034.i −0.403027 0.403027i
\(300\) 253254. + 110788.i 0.162463 + 0.0710707i
\(301\) −213416. + 213416.i −0.135772 + 0.135772i
\(302\) −328824. 1.74253e6i −0.207466 1.09942i
\(303\) −1.62679e6 −1.01794
\(304\) −26442.2 + 671576.i −0.0164102 + 0.416784i
\(305\) 998270. 0.614467
\(306\) −14978.6 79375.9i −0.00914465 0.0484602i
\(307\) 1.30877e6 1.30877e6i 0.792534 0.792534i −0.189372 0.981905i \(-0.560645\pi\)
0.981905 + 0.189372i \(0.0606452\pi\)
\(308\) −2219.63 + 5073.91i −0.00133322 + 0.00304766i
\(309\) −243668. 243668.i −0.145179 0.145179i
\(310\) −1.00392e6 685179.i −0.593328 0.404948i
\(311\) 3.06774e6i 1.79853i −0.437406 0.899264i \(-0.644103\pi\)
0.437406 0.899264i \(-0.355897\pi\)
\(312\) −368877. 588978.i −0.214534 0.342541i
\(313\) 2.27439e6i 1.31221i −0.754669 0.656105i \(-0.772203\pi\)
0.754669 0.656105i \(-0.227797\pi\)
\(314\) −1.13759e6 + 1.66679e6i −0.651121 + 0.954018i
\(315\) −95224.6 95224.6i −0.0540720 0.0540720i
\(316\) 243771. 95398.3i 0.137329 0.0537431i
\(317\) 2.44805e6 2.44805e6i 1.36827 1.36827i 0.505360 0.862909i \(-0.331360\pi\)
0.862909 0.505360i \(-0.168640\pi\)
\(318\) −309120. + 58332.3i −0.171419 + 0.0323476i
\(319\) −8536.67 −0.00469690
\(320\) 774019. 268298.i 0.422548 0.146468i
\(321\) −1.69586e6 −0.918602
\(322\) 1.82762e6 344880.i 0.982305 0.185365i
\(323\) −127517. + 127517.i −0.0680085 + 0.0680085i
\(324\) 1.30280e6 509845.i 0.689472 0.269821i
\(325\) −122758. 122758.i −0.0644673 0.0644673i
\(326\) −1.27435e6 + 1.86717e6i −0.664117 + 0.973059i
\(327\) 2.12245e6i 1.09766i
\(328\) 1.22937e6 + 1.96292e6i 0.630957 + 1.00743i
\(329\) 1992.15i 0.00101469i
\(330\) −2695.73 1839.85i −0.00136267 0.000930030i
\(331\) 786844. + 786844.i 0.394747 + 0.394747i 0.876376 0.481628i \(-0.159955\pi\)
−0.481628 + 0.876376i \(0.659955\pi\)
\(332\) −1.33739e6 + 3.05719e6i −0.665908 + 1.52222i
\(333\) −279650. + 279650.i −0.138199 + 0.138199i
\(334\) 55185.0 + 292441.i 0.0270679 + 0.143441i
\(335\) −1.47374e6 −0.717478
\(336\) 1.46582e6 + 57714.1i 0.708322 + 0.0278891i
\(337\) −1.52615e6 −0.732021 −0.366010 0.930611i \(-0.619276\pi\)
−0.366010 + 0.930611i \(0.619276\pi\)
\(338\) −308539. 1.63504e6i −0.146899 0.778459i
\(339\) −940541. + 940541.i −0.444507 + 0.444507i
\(340\) 201382. + 88096.1i 0.0944762 + 0.0413294i
\(341\) 10147.5 + 10147.5i 0.00472577 + 0.00472577i
\(342\) 159377. + 108776.i 0.0736819 + 0.0502882i
\(343\) 2.37054e6i 1.08796i
\(344\) −513721. 118046.i −0.234062 0.0537840i
\(345\) 1.09606e6i 0.495776i
\(346\) −2.42931e6 + 3.55940e6i −1.09092 + 1.59841i
\(347\) 2.37371e6 + 2.37371e6i 1.05829 + 1.05829i 0.998193 + 0.0600956i \(0.0191405\pi\)
0.0600956 + 0.998193i \(0.480859\pi\)
\(348\) 824051. + 2.10569e6i 0.364759 + 0.932066i
\(349\) −1.11045e6 + 1.11045e6i −0.488017 + 0.488017i −0.907680 0.419663i \(-0.862148\pi\)
0.419663 + 0.907680i \(0.362148\pi\)
\(350\) 360100. 67952.4i 0.157128 0.0296507i
\(351\) −1.13243e6 −0.490619
\(352\) −9567.67 + 1418.21i −0.00411575 + 0.000610077i
\(353\) 4.02943e6 1.72110 0.860551 0.509365i \(-0.170120\pi\)
0.860551 + 0.509365i \(0.170120\pi\)
\(354\) 1.74679e6 329627.i 0.740853 0.139802i
\(355\) −448774. + 448774.i −0.188998 + 0.188998i
\(356\) −362385. 926000.i −0.151546 0.387245i
\(357\) 278326. + 278326.i 0.115580 + 0.115580i
\(358\) 879380. 1.28846e6i 0.362634 0.531329i
\(359\) 2.88668e6i 1.18212i 0.806626 + 0.591062i \(0.201291\pi\)
−0.806626 + 0.591062i \(0.798709\pi\)
\(360\) 52671.1 229219.i 0.0214198 0.0932168i
\(361\) 2.04531e6i 0.826022i
\(362\) 2.76129e6 + 1.88459e6i 1.10749 + 0.755868i
\(363\) −1.57395e6 1.57395e6i −0.626938 0.626938i
\(364\) −844064. 369243.i −0.333904 0.146069i
\(365\) 437199. 437199.i 0.171770 0.171770i
\(366\) 578918. + 3.06786e6i 0.225899 + 1.19711i
\(367\) −1.53810e6 −0.596100 −0.298050 0.954550i \(-0.596336\pi\)
−0.298050 + 0.954550i \(0.596336\pi\)
\(368\) 2.20469e6 + 2.38541e6i 0.848647 + 0.918214i
\(369\) 664958. 0.254231
\(370\) −199559. 1.05752e6i −0.0757820 0.401591i
\(371\) −294884. + 294884.i −0.111228 + 0.111228i
\(372\) 1.52348e6 3.48257e6i 0.570794 1.30479i
\(373\) 665688. + 665688.i 0.247741 + 0.247741i 0.820043 0.572302i \(-0.193949\pi\)
−0.572302 + 0.820043i \(0.693949\pi\)
\(374\) −2143.58 1463.00i −0.000792429 0.000540836i
\(375\) 215958.i 0.0793034i
\(376\) 2948.64 1846.73i 0.00107560 0.000673651i
\(377\) 1.42011e6i 0.514597i
\(378\) 1.34752e6 1.97438e6i 0.485072 0.710724i
\(379\) 733269. + 733269.i 0.262220 + 0.262220i 0.825955 0.563736i \(-0.190636\pi\)
−0.563736 + 0.825955i \(0.690636\pi\)
\(380\) −488966. + 191354.i −0.173708 + 0.0679796i
\(381\) −816019. + 816019.i −0.287997 + 0.287997i
\(382\) −2.76312e6 + 521413.i −0.968816 + 0.182820i
\(383\) −2.45123e6 −0.853863 −0.426931 0.904284i \(-0.640405\pi\)
−0.426931 + 0.904284i \(0.640405\pi\)
\(384\) 1.27340e6 + 2.22310e6i 0.440692 + 0.769363i
\(385\) −4326.70 −0.00148766
\(386\) −2.57110e6 + 485178.i −0.878315 + 0.165742i
\(387\) −107009. + 107009.i −0.0363197 + 0.0363197i
\(388\) 1.43989e6 563494.i 0.485569 0.190025i
\(389\) 1.54868e6 + 1.54868e6i 0.518906 + 0.518906i 0.917240 0.398334i \(-0.130412\pi\)
−0.398334 + 0.917240i \(0.630412\pi\)
\(390\) 306065. 448445.i 0.101895 0.149296i
\(391\) 871558.i 0.288307i
\(392\) −930283. + 582637.i −0.305774 + 0.191506i
\(393\) 97539.1i 0.0318564i
\(394\) −1.89181e6 1.29117e6i −0.613955 0.419026i
\(395\) 144610. + 144610.i 0.0466344 + 0.0466344i
\(396\) −1112.94 + 2544.11i −0.000356644 + 0.000815263i
\(397\) 552320. 552320.i 0.175879 0.175879i −0.613678 0.789557i \(-0.710311\pi\)
0.789557 + 0.613678i \(0.210311\pi\)
\(398\) −1.05931e6 5.61359e6i −0.335209 1.77637i
\(399\) −940258. −0.295675
\(400\) 434393. + 470003.i 0.135748 + 0.146876i
\(401\) 4.92193e6 1.52853 0.764266 0.644901i \(-0.223101\pi\)
0.764266 + 0.644901i \(0.223101\pi\)
\(402\) −854652. 4.52905e6i −0.263769 1.39779i
\(403\) −1.68807e6 + 1.68807e6i −0.517760 + 0.517760i
\(404\) −3.45070e6 1.50954e6i −1.05185 0.460141i
\(405\) 772853. + 772853.i 0.234131 + 0.234131i
\(406\) 2.47593e6 + 1.68984e6i 0.745460 + 0.508779i
\(407\) 12706.4i 0.00380221i
\(408\) −153949. + 669969.i −0.0457853 + 0.199253i
\(409\) 5.16304e6i 1.52615i −0.646311 0.763074i \(-0.723689\pi\)
0.646311 0.763074i \(-0.276311\pi\)
\(410\) −1.02004e6 + 1.49455e6i −0.299679 + 0.439088i
\(411\) 3.12157e6 + 3.12157e6i 0.911526 + 0.911526i
\(412\) −290757. 742970.i −0.0843893 0.215639i
\(413\) 1.66634e6 1.66634e6i 0.480716 0.480716i
\(414\) 916387. 172926.i 0.262771 0.0495862i
\(415\) −2.60697e6 −0.743046
\(416\) −235925. 1.59162e6i −0.0668406 0.450926i
\(417\) −2.46303e6 −0.693633
\(418\) 6091.99 1149.59i 0.00170537 0.000321811i
\(419\) 1.56043e6 1.56043e6i 0.434219 0.434219i −0.455842 0.890061i \(-0.650662\pi\)
0.890061 + 0.455842i \(0.150662\pi\)
\(420\) 417659. + 1.06724e6i 0.115531 + 0.295216i
\(421\) −905154. 905154.i −0.248896 0.248896i 0.571622 0.820517i \(-0.306315\pi\)
−0.820517 + 0.571622i \(0.806315\pi\)
\(422\) −1.25050e6 + 1.83222e6i −0.341823 + 0.500836i
\(423\) 998.883i 0.000271434i
\(424\) −709826. 163108.i −0.191751 0.0440615i
\(425\) 171725.i 0.0461170i
\(426\) −1.63941e6 1.11891e6i −0.437688 0.298724i
\(427\) 2.92657e6 + 2.92657e6i 0.776764 + 0.776764i
\(428\) −3.59722e6 1.57363e6i −0.949199 0.415235i
\(429\) −4532.82 + 4532.82i −0.00118912 + 0.00118912i
\(430\) −76361.6 404662.i −0.0199161 0.105541i
\(431\) −1.58952e6 −0.412168 −0.206084 0.978534i \(-0.566072\pi\)
−0.206084 + 0.978534i \(0.566072\pi\)
\(432\) 4.17150e6 + 164246.i 1.07543 + 0.0423434i
\(433\) 6.53092e6 1.67400 0.836998 0.547205i \(-0.184308\pi\)
0.836998 + 0.547205i \(0.184308\pi\)
\(434\) −934432. 4.95183e6i −0.238135 1.26195i
\(435\) −1.24914e6 + 1.24914e6i −0.316512 + 0.316512i
\(436\) 1.96948e6 4.50209e6i 0.496175 1.13422i
\(437\) −1.47218e6 1.47218e6i −0.368771 0.368771i
\(438\) 1.59713e6 + 1.09005e6i 0.397791 + 0.271494i
\(439\) 2.38268e6i 0.590071i 0.955486 + 0.295036i \(0.0953315\pi\)
−0.955486 + 0.295036i \(0.904669\pi\)
\(440\) −4010.88 6404.08i −0.000987660 0.00157698i
\(441\) 315143.i 0.0771634i
\(442\) 243376. 356592.i 0.0592545 0.0868193i
\(443\) −32077.4 32077.4i −0.00776586 0.00776586i 0.703213 0.710979i \(-0.251748\pi\)
−0.710979 + 0.703213i \(0.751748\pi\)
\(444\) 3.13421e6 1.22656e6i 0.754520 0.295277i
\(445\) 549324. 549324.i 0.131501 0.131501i
\(446\) −5.07178e6 + 957067.i −1.20732 + 0.227827i
\(447\) −2.49731e6 −0.591158
\(448\) 3.05570e6 + 1.48259e6i 0.719309 + 0.349001i
\(449\) 4.51574e6 1.05709 0.528547 0.848904i \(-0.322737\pi\)
0.528547 + 0.848904i \(0.322737\pi\)
\(450\) 180558. 34072.0i 0.0420324 0.00793170i
\(451\) 15106.8 15106.8i 0.00349728 0.00349728i
\(452\) −2.86780e6 + 1.12230e6i −0.660243 + 0.258382i
\(453\) 3.06365e6 + 3.06365e6i 0.701445 + 0.701445i
\(454\) −784671. + 1.14969e6i −0.178669 + 0.261784i
\(455\) 719762.i 0.162990i
\(456\) −871626. 1.39171e6i −0.196299 0.313426i
\(457\) 1.27748e6i 0.286131i 0.989713 + 0.143065i \(0.0456959\pi\)
−0.989713 + 0.143065i \(0.954304\pi\)
\(458\) −5.58634e6 3.81270e6i −1.24441 0.849316i
\(459\) 792076. + 792076.i 0.175483 + 0.175483i
\(460\) −1.01706e6 + 2.32493e6i −0.224105 + 0.512290i
\(461\) −4.40915e6 + 4.40915e6i −0.966279 + 0.966279i −0.999450 0.0331708i \(-0.989439\pi\)
0.0331708 + 0.999450i \(0.489439\pi\)
\(462\) −2509.14 13296.7i −0.000546916 0.00289827i
\(463\) −4.01094e6 −0.869548 −0.434774 0.900540i \(-0.643172\pi\)
−0.434774 + 0.900540i \(0.643172\pi\)
\(464\) −205970. + 5.23120e6i −0.0444129 + 1.12799i
\(465\) 2.96970e6 0.636914
\(466\) −35396.1 187574.i −0.00755076 0.0400137i
\(467\) 2.22576e6 2.22576e6i 0.472266 0.472266i −0.430381 0.902647i \(-0.641621\pi\)
0.902647 + 0.430381i \(0.141621\pi\)
\(468\) −423222. 185142.i −0.0893210 0.0390742i
\(469\) −4.32047e6 4.32047e6i −0.906982 0.906982i
\(470\) 2245.08 + 1532.28i 0.000468800 + 0.000319958i
\(471\) 4.93054e6i 1.02410i
\(472\) 4.01111e6 + 921695.i 0.828724 + 0.190429i
\(473\) 4862.13i 0.000999249i
\(474\) −360550. + 528275.i −0.0737088 + 0.107998i
\(475\) −290066. 290066.i −0.0589878 0.0589878i
\(476\) 332112. + 848644.i 0.0671842 + 0.171675i
\(477\) −147858. + 147858.i −0.0297542 + 0.0297542i
\(478\) −7.94360e6 + 1.49899e6i −1.59018 + 0.300075i
\(479\) 2.87342e6 0.572216 0.286108 0.958197i \(-0.407638\pi\)
0.286108 + 0.958197i \(0.407638\pi\)
\(480\) −1.19248e6 + 1.60753e6i −0.236238 + 0.318461i
\(481\) −2.11375e6 −0.416574
\(482\) 2.15329e6 406336.i 0.422168 0.0796650i
\(483\) −3.21325e6 + 3.21325e6i −0.626724 + 0.626724i
\(484\) −1.87811e6 4.79913e6i −0.364425 0.931214i
\(485\) 854178. + 854178.i 0.164890 + 0.164890i
\(486\) 1.23228e6 1.80552e6i 0.236656 0.346747i
\(487\) 9.71226e6i 1.85566i 0.373007 + 0.927829i \(0.378327\pi\)
−0.373007 + 0.927829i \(0.621673\pi\)
\(488\) −1.61876e6 + 7.04466e6i −0.307703 + 1.33909i
\(489\) 5.52328e6i 1.04454i
\(490\) −708313. 483426.i −0.133271 0.0909578i
\(491\) 941766. + 941766.i 0.176295 + 0.176295i 0.789738 0.613444i \(-0.210216\pi\)
−0.613444 + 0.789738i \(0.710216\pi\)
\(492\) −5.18456e6 2.26803e6i −0.965605 0.422412i
\(493\) −993289. + 993289.i −0.184060 + 0.184060i
\(494\) 191238. + 1.01343e6i 0.0352579 + 0.186842i
\(495\) −2169.45 −0.000397957
\(496\) 6.46313e6 5.97346e6i 1.17961 1.09024i
\(497\) −2.63129e6 −0.477834
\(498\) −1.51184e6 8.01167e6i −0.273169 1.44760i
\(499\) 1.63368e6 1.63368e6i 0.293708 0.293708i −0.544835 0.838543i \(-0.683408\pi\)
0.838543 + 0.544835i \(0.183408\pi\)
\(500\) −200393. + 458086.i −0.0358475 + 0.0819449i
\(501\) −514158. 514158.i −0.0915171 0.0915171i
\(502\) 998374. + 681394.i 0.176821 + 0.120681i
\(503\) 3.45939e6i 0.609649i −0.952409 0.304825i \(-0.901402\pi\)
0.952409 0.304825i \(-0.0985978\pi\)
\(504\) 826400. 517574.i 0.144915 0.0907604i
\(505\) 2.94253e6i 0.513443i
\(506\) 16890.2 24747.4i 0.00293264 0.00429689i
\(507\) 2.87465e6 + 2.87465e6i 0.496667 + 0.496667i
\(508\) −2.48813e6 + 973714.i −0.427773 + 0.167407i
\(509\) 4.00462e6 4.00462e6i 0.685120 0.685120i −0.276029 0.961149i \(-0.589019\pi\)
0.961149 + 0.276029i \(0.0890186\pi\)
\(510\) −527740. + 99586.9i −0.0898451 + 0.0169542i
\(511\) 2.56342e6 0.434278
\(512\) 638223. + 5.89721e6i 0.107596 + 0.994195i
\(513\) −2.67584e6 −0.448918
\(514\) 6.15756e6 1.16196e6i 1.02802 0.193992i
\(515\) 440747. 440747.i 0.0732270 0.0732270i
\(516\) 1.19931e6 469345.i 0.198293 0.0776011i
\(517\) −22.6930 22.6930i −3.73392e−6 3.73392e-6i
\(518\) 2.51523e6 3.68530e6i 0.411864 0.603460i
\(519\) 1.05291e7i 1.71583i
\(520\) 1.06534e6 667224.i 0.172775 0.108209i
\(521\) 3.26819e6i 0.527489i −0.964593 0.263744i \(-0.915042\pi\)
0.964593 0.263744i \(-0.0849575\pi\)
\(522\) 1.24146e6 + 847300.i 0.199414 + 0.136101i
\(523\) 2.30613e6 + 2.30613e6i 0.368662 + 0.368662i 0.866989 0.498327i \(-0.166052\pi\)
−0.498327 + 0.866989i \(0.666052\pi\)
\(524\) 90509.1 206898.i 0.0144000 0.0329175i
\(525\) −633112. + 633112.i −0.100250 + 0.100250i
\(526\) −174356. 923962.i −0.0274772 0.145610i
\(527\) 2.36143e6 0.370382
\(528\) 17354.9 16040.0i 0.00270917 0.00250391i
\(529\) −3.62572e6 −0.563320
\(530\) −105511. 559136.i −0.0163159 0.0864624i
\(531\) 835520. 835520.i 0.128594 0.128594i
\(532\) −1.99445e6 872491.i −0.305524 0.133654i
\(533\) 2.51306e6 + 2.51306e6i 0.383165 + 0.383165i
\(534\) 2.00673e6 + 1.36960e6i 0.304535 + 0.207846i
\(535\) 3.06747e6i 0.463335i
\(536\) 2.38976e6 1.04000e7i 0.359288 1.56358i
\(537\) 3.81141e6i 0.570361i
\(538\) 5.45447e6 7.99184e6i 0.812450 1.19040i
\(539\) 7159.53 + 7159.53i 0.00106148 + 0.00106148i
\(540\) 1.18860e6 + 3.03722e6i 0.175409 + 0.448220i
\(541\) −8.57389e6 + 8.57389e6i −1.25946 + 1.25946i −0.308111 + 0.951350i \(0.599697\pi\)
−0.951350 + 0.308111i \(0.900303\pi\)
\(542\) −9.92221e6 + 1.87237e6i −1.45081 + 0.273774i
\(543\) −8.16820e6 −1.18885
\(544\) −948235. + 1.27827e6i −0.137378 + 0.185193i
\(545\) 3.83908e6 0.553651
\(546\) 2.21195e6 417405.i 0.317537 0.0599206i
\(547\) −552021. + 552021.i −0.0788837 + 0.0788837i −0.745448 0.666564i \(-0.767764\pi\)
0.666564 + 0.745448i \(0.267764\pi\)
\(548\) 3.72481e6 + 9.51799e6i 0.529850 + 1.35392i
\(549\) 1.46741e6 + 1.46741e6i 0.207788 + 0.207788i
\(550\) 3327.91 4876.03i 0.000469100 0.000687321i
\(551\) 3.35559e6i 0.470858i
\(552\) −7.73473e6 1.77733e6i −1.08043 0.248267i
\(553\) 847891.i 0.117904i
\(554\) 8.00450e6 + 5.46310e6i 1.10805 + 0.756249i
\(555\) 1.85929e6 + 1.85929e6i 0.256220 + 0.256220i
\(556\) −5.22453e6 2.28551e6i −0.716737 0.313543i
\(557\) −8.78654e6 + 8.78654e6i −1.20000 + 1.20000i −0.225829 + 0.974167i \(0.572509\pi\)
−0.974167 + 0.225829i \(0.927491\pi\)
\(558\) −468534. 2.48290e6i −0.0637023 0.337577i
\(559\) −808833. −0.109479
\(560\) −104393. + 2.65136e6i −0.0140670 + 0.357272i
\(561\) 6340.94 0.000850641
\(562\) 2.44846e6 + 1.29751e7i 0.327003 + 1.73288i
\(563\) 971504. 971504.i 0.129174 0.129174i −0.639564 0.768738i \(-0.720885\pi\)
0.768738 + 0.639564i \(0.220885\pi\)
\(564\) −3406.98 + 7788.12i −0.000450995 + 0.00103094i
\(565\) −1.70125e6 1.70125e6i −0.224206 0.224206i
\(566\) 9.64681e6 + 6.58399e6i 1.26573 + 0.863869i
\(567\) 4.53145e6i 0.591943i
\(568\) −2.43922e6 3.89465e6i −0.317234 0.506521i
\(569\) 2.27634e6i 0.294752i −0.989081 0.147376i \(-0.952917\pi\)
0.989081 0.147376i \(-0.0470828\pi\)
\(570\) 723207. 1.05964e6i 0.0932343 0.136606i
\(571\) 8.52439e6 + 8.52439e6i 1.09414 + 1.09414i 0.995082 + 0.0990592i \(0.0315833\pi\)
0.0990592 + 0.995082i \(0.468417\pi\)
\(572\) −13821.0 + 5408.79i −0.00176624 + 0.000691210i
\(573\) 4.85800e6 4.85800e6i 0.618118 0.618118i
\(574\) −7.37188e6 + 1.39111e6i −0.933896 + 0.176230i
\(575\) −1.98255e6 −0.250066
\(576\) 1.53216e6 + 743386.i 0.192419 + 0.0933594i
\(577\) −1.05005e7 −1.31301 −0.656506 0.754321i \(-0.727966\pi\)
−0.656506 + 0.754321i \(0.727966\pi\)
\(578\) 7.47298e6 1.41019e6i 0.930410 0.175573i
\(579\) 4.52040e6 4.52040e6i 0.560377 0.560377i
\(580\) −3.80877e6 + 1.49054e6i −0.470126 + 0.183981i
\(581\) −7.64270e6 7.64270e6i −0.939304 0.939304i
\(582\) −2.12968e6 + 3.12039e6i −0.260619 + 0.381858i
\(583\) 6718.17i 0.000818615i
\(584\) 2.37631e6 + 3.79420e6i 0.288317 + 0.460350i
\(585\) 360896.i 0.0436006i
\(586\) 1.77395e6 + 1.21073e6i 0.213401 + 0.145647i
\(587\) −8.30426e6 8.30426e6i −0.994731 0.994731i 0.00525489 0.999986i \(-0.498327\pi\)
−0.999986 + 0.00525489i \(0.998327\pi\)
\(588\) 1.07489e6 2.45712e6i 0.128209 0.293077i
\(589\) −3.98877e6 + 3.98877e6i −0.473752 + 0.473752i
\(590\) 596228. + 3.15959e6i 0.0705152 + 0.373680i
\(591\) 5.59617e6 0.659056
\(592\) 7.78636e6 + 306576.i 0.913126 + 0.0359529i
\(593\) 1.25153e7 1.46152 0.730759 0.682635i \(-0.239166\pi\)
0.730759 + 0.682635i \(0.239166\pi\)
\(594\) −7140.67 37840.5i −0.000830372 0.00440038i
\(595\) −503435. + 503435.i −0.0582977 + 0.0582977i
\(596\) −5.29723e6 2.31732e6i −0.610848 0.267221i
\(597\) 9.86958e6 + 9.86958e6i 1.13335 + 1.13335i
\(598\) 4.11683e6 + 2.80975e6i 0.470771 + 0.321303i
\(599\) 6.70362e6i 0.763383i −0.924290 0.381691i \(-0.875342\pi\)
0.924290 0.381691i \(-0.124658\pi\)
\(600\) −1.52399e6 350190.i −0.172824 0.0397124i
\(601\) 5.33668e6i 0.602677i −0.953517 0.301339i \(-0.902567\pi\)
0.953517 0.301339i \(-0.0974335\pi\)
\(602\) 962460. 1.41019e6i 0.108241 0.158594i
\(603\) −2.16633e6 2.16633e6i −0.242622 0.242622i
\(604\) 3.65570e6 + 9.34138e6i 0.407735 + 1.04188i
\(605\) 2.84696e6 2.84696e6i 0.316222 0.316222i
\(606\) 9.04289e6 1.70643e6i 1.00029 0.188759i
\(607\) 871941. 0.0960540 0.0480270 0.998846i \(-0.484707\pi\)
0.0480270 + 0.998846i \(0.484707\pi\)
\(608\) −557471. 3.76086e6i −0.0611594 0.412599i
\(609\) −7.32408e6 −0.800221
\(610\) −5.54913e6 + 1.04715e6i −0.603810 + 0.113942i
\(611\) 3775.06 3775.06i 0.000409092 0.000409092i
\(612\) 166524. + 425519.i 0.0179721 + 0.0459240i
\(613\) 7.72342e6 + 7.72342e6i 0.830154 + 0.830154i 0.987537 0.157384i \(-0.0503060\pi\)
−0.157384 + 0.987537i \(0.550306\pi\)
\(614\) −5.90228e6 + 8.64798e6i −0.631828 + 0.925750i
\(615\) 4.42105e6i 0.471344i
\(616\) 7016.01 30532.9i 0.000744969 0.00324202i
\(617\) 644309.i 0.0681367i −0.999420 0.0340684i \(-0.989154\pi\)
0.999420 0.0340684i \(-0.0108464\pi\)
\(618\) 1.61009e6 + 1.09889e6i 0.169582 + 0.115740i
\(619\) −1.08770e7 1.08770e7i −1.14099 1.14099i −0.988269 0.152725i \(-0.951195\pi\)
−0.152725 0.988269i \(-0.548805\pi\)
\(620\) 6.29926e6 + 2.75567e6i 0.658128 + 0.287904i
\(621\) −9.14445e6 + 9.14445e6i −0.951543 + 0.951543i
\(622\) 3.21794e6 + 1.70528e7i 0.333504 + 1.76734i
\(623\) 3.22084e6 0.332468
\(624\) 2.66831e6 + 2.88704e6i 0.274331 + 0.296819i
\(625\) −390625. −0.0400000
\(626\) 2.38574e6 + 1.26427e7i 0.243326 + 1.28945i
\(627\) −10710.7 + 10710.7i −0.00108805 + 0.00108805i
\(628\) 4.57518e6 1.04586e7i 0.462924 1.05821i
\(629\) 1.47846e6 + 1.47846e6i 0.148999 + 0.148999i
\(630\) 629216. + 429443.i 0.0631610 + 0.0431076i
\(631\) 1.93042e6i 0.193010i −0.995333 0.0965048i \(-0.969234\pi\)
0.995333 0.0965048i \(-0.0307663\pi\)
\(632\) −1.25499e6 + 786001.i −0.124982 + 0.0782763i
\(633\) 5.41990e6i 0.537628i
\(634\) −1.10402e7 + 1.61760e7i −1.09082 + 1.59826i
\(635\) −1.47601e6 1.47601e6i −0.145263 0.145263i
\(636\) 1.65713e6 648510.i 0.162448 0.0635731i
\(637\) −1.19102e6 + 1.19102e6i −0.116297 + 0.116297i
\(638\) 47453.2 8954.63i 0.00461545 0.000870955i
\(639\) −1.31935e6 −0.127823
\(640\) −4.02114e6 + 2.30332e6i −0.388060 + 0.222282i
\(641\) 4.63206e6 0.445275 0.222638 0.974901i \(-0.428533\pi\)
0.222638 + 0.974901i \(0.428533\pi\)
\(642\) 9.42686e6 1.77889e6i 0.902671 0.170338i
\(643\) −8.05489e6 + 8.05489e6i −0.768303 + 0.768303i −0.977808 0.209505i \(-0.932815\pi\)
0.209505 + 0.977808i \(0.432815\pi\)
\(644\) −9.79752e6 + 3.83421e6i −0.930897 + 0.364301i
\(645\) 711460. + 711460.i 0.0673366 + 0.0673366i
\(646\) 575076. 842598.i 0.0542181 0.0794400i
\(647\) 5.33268e6i 0.500824i −0.968139 0.250412i \(-0.919434\pi\)
0.968139 0.250412i \(-0.0805660\pi\)
\(648\) −6.70715e6 + 4.20069e6i −0.627481 + 0.392991i
\(649\) 37963.3i 0.00353795i
\(650\) 811146. + 553610.i 0.0753036 + 0.0513950i
\(651\) 8.70610e6 + 8.70610e6i 0.805139 + 0.805139i
\(652\) 5.12520e6 1.17159e7i 0.472163 1.07933i
\(653\) 316713. 316713.i 0.0290659 0.0290659i −0.692424 0.721490i \(-0.743457\pi\)
0.721490 + 0.692424i \(0.243457\pi\)
\(654\) 2.22637e6 + 1.17982e7i 0.203541 + 1.07862i
\(655\) 176428. 0.0160681
\(656\) −8.89280e6 9.62179e6i −0.806825 0.872963i
\(657\) 1.28532e6 0.116171
\(658\) 2089.68 + 11073.8i 0.000188155 + 0.000997089i
\(659\) 1.13480e7 1.13480e7i 1.01790 1.01790i 0.0180657 0.999837i \(-0.494249\pi\)
0.999837 0.0180657i \(-0.00575081\pi\)
\(660\) 16914.8 + 7399.53i 0.00151150 + 0.000661218i
\(661\) −8.40738e6 8.40738e6i −0.748440 0.748440i 0.225746 0.974186i \(-0.427518\pi\)
−0.974186 + 0.225746i \(0.927518\pi\)
\(662\) −5.19924e6 3.54850e6i −0.461100 0.314702i
\(663\) 1.05484e6i 0.0931971i
\(664\) 4.22736e6 1.83970e7i 0.372091 1.61930i
\(665\) 1.70074e6i 0.149136i
\(666\) 1.26116e6 1.84785e6i 0.110176 0.161428i
\(667\) −1.14674e7 1.14674e7i −0.998048 0.998048i
\(668\) −613519. 1.56772e6i −0.0531969 0.135934i
\(669\) 8.91699e6 8.91699e6i 0.770288 0.770288i
\(670\) 8.19214e6 1.54589e6i 0.705034 0.133043i
\(671\) 66674.3 0.00571679
\(672\) −8.20864e6 + 1.21676e6i −0.701210 + 0.103940i
\(673\) −1.83364e7 −1.56054 −0.780272 0.625440i \(-0.784920\pi\)
−0.780272 + 0.625440i \(0.784920\pi\)
\(674\) 8.48350e6 1.60087e6i 0.719325 0.135740i
\(675\) −1.80175e6 + 1.80175e6i −0.152207 + 0.152207i
\(676\) 3.43018e6 + 8.76511e6i 0.288702 + 0.737719i
\(677\) −1.19331e6 1.19331e6i −0.100065 0.100065i 0.655302 0.755367i \(-0.272541\pi\)
−0.755367 + 0.655302i \(0.772541\pi\)
\(678\) 4.24164e6 6.21482e6i 0.354372 0.519223i
\(679\) 5.00828e6i 0.416883i
\(680\) −1.21184e6 278463.i −0.100501 0.0230938i
\(681\) 3.40092e6i 0.281015i
\(682\) −67051.7 45763.0i −0.00552012 0.00376750i
\(683\) −2.57827e6 2.57827e6i −0.211483 0.211483i 0.593414 0.804897i \(-0.297780\pi\)
−0.804897 + 0.593414i \(0.797780\pi\)
\(684\) −1.00004e6 437475.i −0.0817291 0.0357531i
\(685\) −5.64629e6 + 5.64629e6i −0.459766 + 0.459766i
\(686\) −2.48661e6 1.31773e7i −0.201742 1.06909i
\(687\) 1.65250e7 1.33583
\(688\) 2.97947e6 + 117312.i 0.239976 + 0.00944868i
\(689\) −1.11759e6 −0.0896882
\(690\) −1.14972e6 6.09271e6i −0.0919327 0.487178i
\(691\) 2.88279e6 2.88279e6i 0.229678 0.229678i −0.582880 0.812558i \(-0.698074\pi\)
0.812558 + 0.582880i \(0.198074\pi\)
\(692\) 9.77023e6 2.23341e7i 0.775603 1.77298i
\(693\) −6360.04 6360.04i −0.000503068 0.000503068i
\(694\) −1.56848e7 1.07049e7i −1.23617 0.843694i
\(695\) 4.45513e6i 0.349863i
\(696\) −6.78948e6 1.08406e7i −0.531267 0.848263i
\(697\) 3.51551e6i 0.274098i
\(698\) 5.00789e6 7.33752e6i 0.389060 0.570047i
\(699\) 329785. + 329785.i 0.0255293 + 0.0255293i
\(700\) −1.93042e6 + 755461.i −0.148904 + 0.0582729i
\(701\) −5.60275e6 + 5.60275e6i −0.430632 + 0.430632i −0.888843 0.458211i \(-0.848490\pi\)
0.458211 + 0.888843i \(0.348490\pi\)
\(702\) 6.29490e6 1.18788e6i 0.482110 0.0909763i
\(703\) −4.99462e6 −0.381166
\(704\) 51696.6 17919.6i 0.00393125 0.00136269i
\(705\) −6641.19 −0.000503238
\(706\) −2.23986e7 + 4.22671e6i −1.69125 + 0.319147i
\(707\) 8.62643e6 8.62643e6i 0.649056 0.649056i
\(708\) −9.36419e6 + 3.66462e6i −0.702081 + 0.274755i
\(709\) −1.35415e6 1.35415e6i −0.101170 0.101170i 0.654710 0.755880i \(-0.272791\pi\)
−0.755880 + 0.654710i \(0.772791\pi\)
\(710\) 2.02387e6 2.96537e6i 0.150674 0.220766i
\(711\) 425141.i 0.0315398i
\(712\) 2.98574e6 + 4.76727e6i 0.220725 + 0.352428i
\(713\) 2.72625e7i 2.00836i
\(714\) −1.83910e6 1.25519e6i −0.135008 0.0921434i
\(715\) −8198.96 8198.96i −0.000599782 0.000599782i
\(716\) −3.53671e6 + 8.08467e6i −0.257820 + 0.589359i
\(717\) 1.39661e7 1.39661e7i 1.01456 1.01456i
\(718\) −3.02802e6 1.60463e7i −0.219203 1.16162i
\(719\) 2.32962e6 0.168059 0.0840297 0.996463i \(-0.473221\pi\)
0.0840297 + 0.996463i \(0.473221\pi\)
\(720\) −52343.8 + 1.32942e6i −0.00376300 + 0.0955720i
\(721\) 2.58422e6 0.185136
\(722\) −2.14545e6 1.13694e7i −0.153171 0.811696i
\(723\) −3.78583e6 + 3.78583e6i −0.269349 + 0.269349i
\(724\) −1.73262e7 7.57948e6i −1.22845 0.537395i
\(725\) −2.25945e6 2.25945e6i −0.159646 0.159646i
\(726\) 1.04002e7 + 7.09818e6i 0.732319 + 0.499811i
\(727\) 7.09851e6i 0.498117i 0.968488 + 0.249058i \(0.0801211\pi\)
−0.968488 + 0.249058i \(0.919879\pi\)
\(728\) 5.07926e6 + 1.16714e6i 0.355199 + 0.0816195i
\(729\) 1.59647e7i 1.11261i
\(730\) −1.97168e6 + 2.88889e6i −0.136939 + 0.200643i
\(731\) 565736. + 565736.i 0.0391580 + 0.0391580i
\(732\) −6.43612e6 1.64462e7i −0.443963 1.13446i
\(733\) −4.97014e6 + 4.97014e6i −0.341672 + 0.341672i −0.856995 0.515324i \(-0.827672\pi\)
0.515324 + 0.856995i \(0.327672\pi\)
\(734\) 8.54990e6 1.61340e6i 0.585762 0.110536i
\(735\) 2.09527e6 0.143061
\(736\) −1.47575e7 1.09473e7i −1.00420 0.744924i
\(737\) −98430.8 −0.00667517
\(738\) −3.69633e6 + 697515.i −0.249822 + 0.0471425i
\(739\) −3.33606e6 + 3.33606e6i −0.224710 + 0.224710i −0.810478 0.585768i \(-0.800793\pi\)
0.585768 + 0.810478i \(0.300793\pi\)
\(740\) 2.21859e6 + 5.66915e6i 0.148935 + 0.380574i
\(741\) −1.78176e6 1.78176e6i −0.119208 0.119208i
\(742\) 1.32986e6 1.94851e6i 0.0886742 0.129925i
\(743\) 1.56473e7i 1.03985i 0.854213 + 0.519923i \(0.174039\pi\)
−0.854213 + 0.519923i \(0.825961\pi\)
\(744\) −4.81556e6 + 2.09568e7i −0.318944 + 1.38801i
\(745\) 4.51713e6i 0.298175i
\(746\) −4.39867e6 3.00211e6i −0.289384 0.197506i
\(747\) −3.83212e6 3.83212e6i −0.251268 0.251268i
\(748\) 13450.2 + 5883.93i 0.000878975 + 0.000384515i
\(749\) 8.99271e6 8.99271e6i 0.585714 0.585714i
\(750\) −226532. 1.20046e6i −0.0147054 0.0779281i
\(751\) 2.63215e7 1.70298 0.851491 0.524369i \(-0.175699\pi\)
0.851491 + 0.524369i \(0.175699\pi\)
\(752\) −14453.6 + 13358.5i −0.000932033 + 0.000861419i
\(753\) −2.95330e6 −0.189810
\(754\) 1.48964e6 + 7.89401e6i 0.0954227 + 0.505673i
\(755\) −5.54152e6 + 5.54152e6i −0.353803 + 0.353803i
\(756\) −5.41949e6 + 1.23886e7i −0.344869 + 0.788346i
\(757\) −6.68400e6 6.68400e6i −0.423932 0.423932i 0.462623 0.886555i \(-0.346908\pi\)
−0.886555 + 0.462623i \(0.846908\pi\)
\(758\) −4.84523e6 3.30689e6i −0.306296 0.209048i
\(759\) 73205.6i 0.00461254i
\(760\) 2.51732e6 1.57660e6i 0.158090 0.0990116i
\(761\) 2.40574e7i 1.50587i 0.658096 + 0.752934i \(0.271362\pi\)
−0.658096 + 0.752934i \(0.728638\pi\)
\(762\) 3.68007e6 5.39202e6i 0.229599 0.336406i