Properties

Label 27.6.e.a.4.8
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.224938 + 0.0818707i) q^{2} +(14.5788 - 5.51901i) q^{3} +(-24.4695 - 20.5324i) q^{4} +(7.42390 - 42.1031i) q^{5} +(3.73116 - 0.0478599i) q^{6} +(7.97190 - 6.68922i) q^{7} +(-7.65311 - 13.2556i) q^{8} +(182.081 - 160.921i) q^{9} +O(q^{10})\) \(q+(0.224938 + 0.0818707i) q^{2} +(14.5788 - 5.51901i) q^{3} +(-24.4695 - 20.5324i) q^{4} +(7.42390 - 42.1031i) q^{5} +(3.73116 - 0.0478599i) q^{6} +(7.97190 - 6.68922i) q^{7} +(-7.65311 - 13.2556i) q^{8} +(182.081 - 160.921i) q^{9} +(5.11693 - 8.86277i) q^{10} +(-31.7427 - 180.022i) q^{11} +(-470.054 - 164.289i) q^{12} +(752.956 - 274.053i) q^{13} +(2.34083 - 0.851994i) q^{14} +(-124.136 - 654.783i) q^{15} +(176.861 + 1003.03i) q^{16} +(-1138.32 + 1971.63i) q^{17} +(54.1316 - 21.2901i) q^{18} +(410.894 + 711.689i) q^{19} +(-1046.14 + 877.812i) q^{20} +(79.3027 - 141.518i) q^{21} +(7.59838 - 43.0926i) q^{22} +(-16.1153 - 13.5223i) q^{23} +(-184.731 - 151.012i) q^{24} +(1218.99 + 443.675i) q^{25} +191.805 q^{26} +(1766.40 - 3350.93i) q^{27} -332.414 q^{28} +(-3846.78 - 1400.11i) q^{29} +(25.6848 - 157.449i) q^{30} +(4705.96 + 3948.77i) q^{31} +(-127.389 + 722.457i) q^{32} +(-1456.31 - 2449.31i) q^{33} +(-417.470 + 350.299i) q^{34} +(-222.454 - 385.302i) q^{35} +(-7759.52 + 199.096i) q^{36} +(5180.58 - 8973.02i) q^{37} +(34.1591 + 193.726i) q^{38} +(9464.67 - 8150.93i) q^{39} +(-614.916 + 223.811i) q^{40} +(3418.38 - 1244.19i) q^{41} +(29.4243 - 25.3401i) q^{42} +(-720.707 - 4087.33i) q^{43} +(-2919.55 + 5056.81i) q^{44} +(-5423.50 - 8860.83i) q^{45} +(-2.51785 - 4.36105i) q^{46} +(-1831.42 + 1536.74i) q^{47} +(8114.14 + 13646.8i) q^{48} +(-2899.70 + 16445.0i) q^{49} +(237.872 + 199.599i) q^{50} +(-5713.88 + 35026.3i) q^{51} +(-24051.4 - 8754.01i) q^{52} +21542.2 q^{53} +(671.673 - 609.136i) q^{54} -7815.13 q^{55} +(-149.679 - 54.4788i) q^{56} +(9918.15 + 8107.83i) q^{57} +(-750.658 - 629.877i) q^{58} +(4527.71 - 25677.9i) q^{59} +(-10406.7 + 18571.0i) q^{60} +(-31655.2 + 26561.9i) q^{61} +(735.261 + 1273.51i) q^{62} +(375.099 - 2500.82i) q^{63} +(16208.2 - 28073.5i) q^{64} +(-5948.62 - 33736.3i) q^{65} +(-127.053 - 670.172i) q^{66} +(17751.3 - 6460.96i) q^{67} +(68336.4 - 24872.4i) q^{68} +(-309.571 - 108.199i) q^{69} +(-18.4934 - 104.881i) q^{70} +(-38092.9 + 65978.8i) q^{71} +(-3526.58 - 1182.05i) q^{72} +(-23330.7 - 40410.0i) q^{73} +(1899.94 - 1594.24i) q^{74} +(20220.0 - 259.363i) q^{75} +(4558.29 - 25851.3i) q^{76} +(-1457.26 - 1222.78i) q^{77} +(2796.29 - 1058.57i) q^{78} +(-24605.0 - 8955.49i) q^{79} +43543.6 q^{80} +(7258.06 - 58601.2i) q^{81} +870.785 q^{82} +(-98703.0 - 35925.0i) q^{83} +(-4846.19 + 1834.60i) q^{84} +(74560.8 + 62564.0i) q^{85} +(172.518 - 978.401i) q^{86} +(-63808.5 + 818.475i) q^{87} +(-2143.36 + 1798.50i) q^{88} +(22123.0 + 38318.2i) q^{89} +(-494.508 - 2437.16i) q^{90} +(4169.28 - 7221.41i) q^{91} +(116.688 + 661.770i) q^{92} +(90400.5 + 31596.0i) q^{93} +(-537.770 + 195.732i) q^{94} +(33014.7 - 12016.4i) q^{95} +(2130.08 + 11235.6i) q^{96} +(15851.0 + 89895.3i) q^{97} +(-1998.62 + 3461.71i) q^{98} +(-34749.0 - 27670.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.224938 + 0.0818707i 0.0397638 + 0.0144728i 0.361825 0.932246i \(-0.382154\pi\)
−0.322062 + 0.946719i \(0.604376\pi\)
\(3\) 14.5788 5.51901i 0.935229 0.354045i
\(4\) −24.4695 20.5324i −0.764673 0.641637i
\(5\) 7.42390 42.1031i 0.132803 0.753162i −0.843562 0.537032i \(-0.819545\pi\)
0.976365 0.216130i \(-0.0693435\pi\)
\(6\) 3.73116 0.0478599i 0.0423123 0.000542742i
\(7\) 7.97190 6.68922i 0.0614917 0.0515977i −0.611524 0.791226i \(-0.709443\pi\)
0.673016 + 0.739628i \(0.264999\pi\)
\(8\) −7.65311 13.2556i −0.0422779 0.0732274i
\(9\) 182.081 160.921i 0.749305 0.662225i
\(10\) 5.11693 8.86277i 0.0161811 0.0280266i
\(11\) −31.7427 180.022i −0.0790975 0.448584i −0.998475 0.0552074i \(-0.982418\pi\)
0.919377 0.393377i \(-0.128693\pi\)
\(12\) −470.054 164.289i −0.942312 0.329349i
\(13\) 752.956 274.053i 1.23569 0.449756i 0.360150 0.932894i \(-0.382725\pi\)
0.875544 + 0.483138i \(0.160503\pi\)
\(14\) 2.34083 0.851994i 0.00319191 0.00116176i
\(15\) −124.136 654.783i −0.142452 0.751397i
\(16\) 176.861 + 1003.03i 0.172716 + 0.979521i
\(17\) −1138.32 + 1971.63i −0.955305 + 1.65464i −0.221638 + 0.975129i \(0.571140\pi\)
−0.733668 + 0.679509i \(0.762193\pi\)
\(18\) 54.1316 21.2901i 0.0393795 0.0154880i
\(19\) 410.894 + 711.689i 0.261123 + 0.452279i 0.966541 0.256513i \(-0.0825737\pi\)
−0.705417 + 0.708792i \(0.749240\pi\)
\(20\) −1046.14 + 877.812i −0.584807 + 0.490712i
\(21\) 79.3027 141.518i 0.0392410 0.0700265i
\(22\) 7.59838 43.0926i 0.00334707 0.0189822i
\(23\) −16.1153 13.5223i −0.00635211 0.00533006i 0.639606 0.768703i \(-0.279098\pi\)
−0.645958 + 0.763373i \(0.723542\pi\)
\(24\) −184.731 151.012i −0.0654652 0.0535161i
\(25\) 1218.99 + 443.675i 0.390076 + 0.141976i
\(26\) 191.805 0.0556451
\(27\) 1766.40 3350.93i 0.466314 0.884619i
\(28\) −332.414 −0.0801280
\(29\) −3846.78 1400.11i −0.849380 0.309149i −0.119592 0.992823i \(-0.538159\pi\)
−0.729788 + 0.683674i \(0.760381\pi\)
\(30\) 25.6848 157.449i 0.00521042 0.0319401i
\(31\) 4705.96 + 3948.77i 0.879517 + 0.738003i 0.966080 0.258244i \(-0.0831438\pi\)
−0.0865625 + 0.996246i \(0.527588\pi\)
\(32\) −127.389 + 722.457i −0.0219915 + 0.124720i
\(33\) −1456.31 2449.31i −0.232793 0.391525i
\(34\) −417.470 + 350.299i −0.0619339 + 0.0519687i
\(35\) −222.454 385.302i −0.0306952 0.0531656i
\(36\) −7759.52 + 199.096i −0.997881 + 0.0256040i
\(37\) 5180.58 8973.02i 0.622120 1.07754i −0.366971 0.930232i \(-0.619605\pi\)
0.989090 0.147310i \(-0.0470616\pi\)
\(38\) 34.1591 + 193.726i 0.00383750 + 0.0217635i
\(39\) 9464.67 8150.93i 0.996423 0.858116i
\(40\) −614.916 + 223.811i −0.0607667 + 0.0221173i
\(41\) 3418.38 1244.19i 0.317585 0.115592i −0.178309 0.983975i \(-0.557063\pi\)
0.495894 + 0.868383i \(0.334840\pi\)
\(42\) 29.4243 25.3401i 0.00257385 0.00221659i
\(43\) −720.707 4087.33i −0.0594412 0.337108i 0.940556 0.339640i \(-0.110305\pi\)
−0.999997 + 0.00253203i \(0.999194\pi\)
\(44\) −2919.55 + 5056.81i −0.227344 + 0.393772i
\(45\) −5423.50 8860.83i −0.399253 0.652294i
\(46\) −2.51785 4.36105i −0.000175443 0.000303876i
\(47\) −1831.42 + 1536.74i −0.120932 + 0.101474i −0.701248 0.712917i \(-0.747374\pi\)
0.580316 + 0.814392i \(0.302929\pi\)
\(48\) 8114.14 + 13646.8i 0.508323 + 0.854927i
\(49\) −2899.70 + 16445.0i −0.172529 + 0.978462i
\(50\) 237.872 + 199.599i 0.0134561 + 0.0112910i
\(51\) −5713.88 + 35026.3i −0.307614 + 1.88568i
\(52\) −24051.4 8754.01i −1.23348 0.448951i
\(53\) 21542.2 1.05342 0.526710 0.850045i \(-0.323426\pi\)
0.526710 + 0.850045i \(0.323426\pi\)
\(54\) 671.673 609.136i 0.0313454 0.0284269i
\(55\) −7815.13 −0.348361
\(56\) −149.679 54.4788i −0.00637810 0.00232144i
\(57\) 9918.15 + 8107.83i 0.404337 + 0.330535i
\(58\) −750.658 629.877i −0.0293003 0.0245859i
\(59\) 4527.71 25677.9i 0.169336 0.960351i −0.775145 0.631784i \(-0.782323\pi\)
0.944480 0.328568i \(-0.106566\pi\)
\(60\) −10406.7 + 18571.0i −0.373195 + 0.665975i
\(61\) −31655.2 + 26561.9i −1.08923 + 0.913974i −0.996654 0.0817311i \(-0.973955\pi\)
−0.0925778 + 0.995705i \(0.529511\pi\)
\(62\) 735.261 + 1273.51i 0.0242919 + 0.0420749i
\(63\) 375.099 2500.82i 0.0119068 0.0793838i
\(64\) 16208.2 28073.5i 0.494636 0.856735i
\(65\) −5948.62 33736.3i −0.174636 0.990407i
\(66\) −127.053 670.172i −0.00359026 0.0189377i
\(67\) 17751.3 6460.96i 0.483108 0.175837i −0.0889730 0.996034i \(-0.528358\pi\)
0.572081 + 0.820197i \(0.306136\pi\)
\(68\) 68336.4 24872.4i 1.79217 0.652297i
\(69\) −309.571 108.199i −0.00782775 0.00273589i
\(70\) −18.4934 104.881i −0.000451099 0.00255831i
\(71\) −38092.9 + 65978.8i −0.896805 + 1.55331i −0.0652502 + 0.997869i \(0.520785\pi\)
−0.831555 + 0.555443i \(0.812549\pi\)
\(72\) −3526.58 1182.05i −0.0801720 0.0268722i
\(73\) −23330.7 40410.0i −0.512415 0.887528i −0.999896 0.0143949i \(-0.995418\pi\)
0.487482 0.873133i \(-0.337916\pi\)
\(74\) 1899.94 1594.24i 0.0403329 0.0338433i
\(75\) 20220.0 259.363i 0.415076 0.00532420i
\(76\) 4558.29 25851.3i 0.0905248 0.513392i
\(77\) −1457.26 1222.78i −0.0280097 0.0235030i
\(78\) 2796.29 1058.57i 0.0520409 0.0197009i
\(79\) −24605.0 8955.49i −0.443563 0.161444i 0.110576 0.993868i \(-0.464730\pi\)
−0.554140 + 0.832424i \(0.686953\pi\)
\(80\) 43543.6 0.760675
\(81\) 7258.06 58601.2i 0.122916 0.992417i
\(82\) 870.785 0.0143013
\(83\) −98703.0 35925.0i −1.57266 0.572402i −0.599069 0.800697i \(-0.704463\pi\)
−0.973592 + 0.228295i \(0.926685\pi\)
\(84\) −4846.19 + 1834.60i −0.0749380 + 0.0283689i
\(85\) 74560.8 + 62564.0i 1.11934 + 0.939241i
\(86\) 172.518 978.401i 0.00251530 0.0142650i
\(87\) −63808.5 + 818.475i −0.903817 + 0.0115933i
\(88\) −2143.36 + 1798.50i −0.0295046 + 0.0247573i
\(89\) 22123.0 + 38318.2i 0.296053 + 0.512779i 0.975229 0.221196i \(-0.0709961\pi\)
−0.679176 + 0.733975i \(0.737663\pi\)
\(90\) −494.508 2437.16i −0.00643528 0.0317160i
\(91\) 4169.28 7221.41i 0.0527786 0.0914153i
\(92\) 116.688 + 661.770i 0.00143733 + 0.00815150i
\(93\) 90400.5 + 31596.0i 1.08384 + 0.378813i
\(94\) −537.770 + 195.732i −0.00627735 + 0.00228477i
\(95\) 33014.7 12016.4i 0.375317 0.136604i
\(96\) 2130.08 + 11235.6i 0.0235894 + 0.124428i
\(97\) 15851.0 + 89895.3i 0.171051 + 0.970080i 0.942603 + 0.333914i \(0.108370\pi\)
−0.771552 + 0.636166i \(0.780519\pi\)
\(98\) −1998.62 + 3461.71i −0.0210215 + 0.0364104i
\(99\) −34749.0 27670.5i −0.356332 0.283746i
\(100\) −20718.3 35885.2i −0.207183 0.358852i
\(101\) −71080.0 + 59643.2i −0.693336 + 0.581778i −0.919869 0.392226i \(-0.871705\pi\)
0.226533 + 0.974003i \(0.427261\pi\)
\(102\) −4152.90 + 7410.95i −0.0395231 + 0.0705299i
\(103\) −20306.2 + 115162.i −0.188597 + 1.06959i 0.732648 + 0.680608i \(0.238284\pi\)
−0.921246 + 0.388981i \(0.872827\pi\)
\(104\) −9395.19 7883.50i −0.0851770 0.0714720i
\(105\) −5369.59 4389.50i −0.0475300 0.0388545i
\(106\) 4845.67 + 1763.68i 0.0418879 + 0.0152460i
\(107\) −163902. −1.38396 −0.691981 0.721915i \(-0.743262\pi\)
−0.691981 + 0.721915i \(0.743262\pi\)
\(108\) −112025. + 45727.4i −0.924182 + 0.377240i
\(109\) 149451. 1.20485 0.602425 0.798176i \(-0.294201\pi\)
0.602425 + 0.798176i \(0.294201\pi\)
\(110\) −1757.92 639.830i −0.0138521 0.00504177i
\(111\) 26004.3 159407.i 0.200326 1.22801i
\(112\) 8119.40 + 6812.99i 0.0611616 + 0.0513207i
\(113\) −25934.3 + 147081.i −0.191064 + 1.08358i 0.726850 + 0.686796i \(0.240983\pi\)
−0.917914 + 0.396780i \(0.870128\pi\)
\(114\) 1567.17 + 2635.76i 0.0112942 + 0.0189952i
\(115\) −688.969 + 578.114i −0.00485798 + 0.00407633i
\(116\) 65381.2 + 113244.i 0.451136 + 0.781391i
\(117\) 92998.1 171066.i 0.628072 1.15531i
\(118\) 3120.73 5405.26i 0.0206324 0.0357364i
\(119\) 4114.08 + 23332.1i 0.0266321 + 0.151038i
\(120\) −7729.50 + 6656.62i −0.0490003 + 0.0421988i
\(121\) 119938. 43653.9i 0.744721 0.271056i
\(122\) −9295.09 + 3383.14i −0.0565398 + 0.0205788i
\(123\) 42969.1 37004.8i 0.256090 0.220544i
\(124\) −34075.0 193249.i −0.199013 1.12866i
\(125\) 94530.6 163732.i 0.541125 0.937255i
\(126\) 289.118 531.821i 0.00162237 0.00298427i
\(127\) 32343.2 + 56020.1i 0.177940 + 0.308201i 0.941175 0.337920i \(-0.109723\pi\)
−0.763235 + 0.646121i \(0.776390\pi\)
\(128\) 23927.3 20077.4i 0.129083 0.108314i
\(129\) −33065.0 55610.7i −0.174942 0.294228i
\(130\) 1423.94 8075.59i 0.00738983 0.0419098i
\(131\) −235855. 197906.i −1.20079 1.00758i −0.999607 0.0280275i \(-0.991077\pi\)
−0.201182 0.979554i \(-0.564478\pi\)
\(132\) −14654.9 + 89835.0i −0.0732061 + 0.448757i
\(133\) 8036.25 + 2924.96i 0.0393935 + 0.0143381i
\(134\) 4521.92 0.0217551
\(135\) −127971. 99247.7i −0.604334 0.468690i
\(136\) 34846.8 0.161553
\(137\) 244592. + 89024.1i 1.11337 + 0.405234i 0.832229 0.554432i \(-0.187064\pi\)
0.281143 + 0.959666i \(0.409287\pi\)
\(138\) −60.7759 49.6827i −0.000271665 0.000222079i
\(139\) −147394. 123678.i −0.647056 0.542944i 0.259120 0.965845i \(-0.416567\pi\)
−0.906176 + 0.422901i \(0.861012\pi\)
\(140\) −2467.81 + 13995.7i −0.0106412 + 0.0603494i
\(141\) −18218.5 + 32511.4i −0.0771730 + 0.137717i
\(142\) −13970.3 + 11722.4i −0.0581412 + 0.0487862i
\(143\) −73236.5 126849.i −0.299494 0.518738i
\(144\) 193611. + 154172.i 0.778080 + 0.619583i
\(145\) −87507.1 + 151567.i −0.345640 + 0.598665i
\(146\) −1939.57 10999.9i −0.00753050 0.0427076i
\(147\) 48486.1 + 255752.i 0.185065 + 0.976169i
\(148\) −311004. + 113196.i −1.16711 + 0.424793i
\(149\) 272673. 99244.8i 1.00618 0.366220i 0.214216 0.976786i \(-0.431280\pi\)
0.791965 + 0.610566i \(0.209058\pi\)
\(150\) 4569.47 + 1597.08i 0.0165820 + 0.00579561i
\(151\) 25789.2 + 146258.i 0.0920440 + 0.522007i 0.995613 + 0.0935651i \(0.0298263\pi\)
−0.903569 + 0.428442i \(0.859063\pi\)
\(152\) 6289.23 10893.3i 0.0220795 0.0382428i
\(153\) 110009. + 542176.i 0.379927 + 1.87246i
\(154\) −227.682 394.357i −0.000773619 0.00133995i
\(155\) 201192. 168820.i 0.672638 0.564410i
\(156\) −398954. + 5117.40i −1.31254 + 0.0168360i
\(157\) 66156.0 375189.i 0.214200 1.21479i −0.668088 0.744082i \(-0.732887\pi\)
0.882289 0.470709i \(-0.156002\pi\)
\(158\) −4801.41 4028.86i −0.0153012 0.0128392i
\(159\) 314059. 118892.i 0.985188 0.372957i
\(160\) 29471.9 + 10726.9i 0.0910141 + 0.0331264i
\(161\) −218.923 −0.000665621
\(162\) 6430.34 12587.4i 0.0192507 0.0376833i
\(163\) −575859. −1.69764 −0.848822 0.528678i \(-0.822688\pi\)
−0.848822 + 0.528678i \(0.822688\pi\)
\(164\) −109192. 39742.7i −0.317017 0.115385i
\(165\) −113935. + 43131.8i −0.325797 + 0.123335i
\(166\) −19260.9 16161.8i −0.0542507 0.0455217i
\(167\) −115762. + 656516.i −0.321198 + 1.82161i 0.213947 + 0.976845i \(0.431368\pi\)
−0.535145 + 0.844760i \(0.679743\pi\)
\(168\) −2482.81 + 31.8471i −0.00678688 + 8.70557e-5i
\(169\) 207410. 174038.i 0.558616 0.468734i
\(170\) 11649.4 + 20177.4i 0.0309159 + 0.0535478i
\(171\) 189342. + 63463.8i 0.495171 + 0.165972i
\(172\) −66287.2 + 114813.i −0.170848 + 0.295917i
\(173\) 27027.1 + 153278.i 0.0686569 + 0.389373i 0.999701 + 0.0244652i \(0.00778831\pi\)
−0.931044 + 0.364908i \(0.881101\pi\)
\(174\) −14420.0 5039.94i −0.0361070 0.0126198i
\(175\) 12685.5 4617.14i 0.0313121 0.0113967i
\(176\) 174953. 63677.8i 0.425736 0.154955i
\(177\) −75708.3 399341.i −0.181639 0.958100i
\(178\) 1839.17 + 10430.4i 0.00435083 + 0.0246748i
\(179\) 231594. 401133.i 0.540250 0.935741i −0.458639 0.888623i \(-0.651663\pi\)
0.998889 0.0471182i \(-0.0150038\pi\)
\(180\) −49223.4 + 328178.i −0.113237 + 0.754967i
\(181\) 55248.9 + 95693.8i 0.125351 + 0.217114i 0.921870 0.387499i \(-0.126661\pi\)
−0.796519 + 0.604613i \(0.793328\pi\)
\(182\) 1529.05 1283.03i 0.00342172 0.00287116i
\(183\) −314899. + 561945.i −0.695093 + 1.24041i
\(184\) −55.9142 + 317.105i −0.000121752 + 0.000690492i
\(185\) −339332. 284733.i −0.728945 0.611658i
\(186\) 17747.7 + 14508.3i 0.0376149 + 0.0307492i
\(187\) 391070. + 142338.i 0.817806 + 0.297657i
\(188\) 76366.9 0.157583
\(189\) −8333.59 38529.1i −0.0169698 0.0784575i
\(190\) 8410.05 0.0169011
\(191\) 424875. + 154642.i 0.842709 + 0.306721i 0.727064 0.686570i \(-0.240884\pi\)
0.115645 + 0.993291i \(0.463107\pi\)
\(192\) 81358.4 498730.i 0.159276 0.976366i
\(193\) −514254. 431510.i −0.993766 0.833869i −0.00765742 0.999971i \(-0.502437\pi\)
−0.986109 + 0.166102i \(0.946882\pi\)
\(194\) −3794.31 + 21518.6i −0.00723816 + 0.0410497i
\(195\) −272914. 459003.i −0.513972 0.864429i
\(196\) 408609. 342864.i 0.759746 0.637502i
\(197\) −303274. 525286.i −0.556762 0.964341i −0.997764 0.0668344i \(-0.978710\pi\)
0.441002 0.897506i \(-0.354623\pi\)
\(198\) −5550.96 9069.08i −0.0100625 0.0164399i
\(199\) 2088.24 3616.94i 0.00373808 0.00647454i −0.864150 0.503234i \(-0.832143\pi\)
0.867888 + 0.496759i \(0.165477\pi\)
\(200\) −3447.87 19553.9i −0.00609503 0.0345667i
\(201\) 223135. 192163.i 0.389562 0.335490i
\(202\) −20871.6 + 7596.64i −0.0359896 + 0.0130992i
\(203\) −40031.8 + 14570.4i −0.0681812 + 0.0248159i
\(204\) 858989. 739758.i 1.44515 1.24456i
\(205\) −27006.4 153161.i −0.0448830 0.254544i
\(206\) −13996.0 + 24241.9i −0.0229793 + 0.0398014i
\(207\) −5110.31 + 131.122i −0.00828937 + 0.000212691i
\(208\) 408052. + 706767.i 0.653969 + 1.13271i
\(209\) 115077. 96560.9i 0.182231 0.152910i
\(210\) −848.452 1426.98i −0.00132764 0.00223290i
\(211\) −43923.7 + 249103.i −0.0679192 + 0.385189i 0.931832 + 0.362890i \(0.118210\pi\)
−0.999751 + 0.0222992i \(0.992901\pi\)
\(212\) −527129. 442313.i −0.805521 0.675912i
\(213\) −191210. + 1.17212e6i −0.288776 + 1.77021i
\(214\) −36867.7 13418.8i −0.0550316 0.0200299i
\(215\) −177440. −0.261791
\(216\) −57937.0 + 2230.46i −0.0844931 + 0.00325282i
\(217\) 63929.7 0.0921623
\(218\) 33617.2 + 12235.7i 0.0479094 + 0.0174376i
\(219\) −563157. 460366.i −0.793449 0.648624i
\(220\) 191233. + 160463.i 0.266382 + 0.223521i
\(221\) −316773. + 1.79651e6i −0.436282 + 2.47428i
\(222\) 18900.1 33727.8i 0.0257385 0.0459309i
\(223\) −289759. + 243137.i −0.390189 + 0.327408i −0.816687 0.577081i \(-0.804192\pi\)
0.426498 + 0.904489i \(0.359747\pi\)
\(224\) 3817.14 + 6611.48i 0.00508298 + 0.00880398i
\(225\) 293351. 115375.i 0.386306 0.151935i
\(226\) −17875.2 + 30960.8i −0.0232798 + 0.0403218i
\(227\) 103649. + 587824.i 0.133506 + 0.757151i 0.975888 + 0.218270i \(0.0700415\pi\)
−0.842382 + 0.538881i \(0.818847\pi\)
\(228\) −76219.5 402038.i −0.0971021 0.512188i
\(229\) 342579. 124689.i 0.431690 0.157122i −0.117030 0.993128i \(-0.537337\pi\)
0.548720 + 0.836006i \(0.315115\pi\)
\(230\) −202.306 + 73.6333i −0.000252167 + 9.17815e-5i
\(231\) −27993.6 9784.07i −0.0345166 0.0120639i
\(232\) 10880.5 + 61706.4i 0.0132718 + 0.0752680i
\(233\) −270250. + 468087.i −0.326119 + 0.564855i −0.981738 0.190237i \(-0.939074\pi\)
0.655619 + 0.755092i \(0.272408\pi\)
\(234\) 34924.1 30865.4i 0.0416952 0.0368496i
\(235\) 51105.3 + 88516.9i 0.0603665 + 0.104558i
\(236\) −638020. + 535362.i −0.745683 + 0.625702i
\(237\) −408136. + 5235.19i −0.471991 + 0.00605426i
\(238\) −984.803 + 5585.10i −0.00112696 + 0.00639129i
\(239\) −871177. 731004.i −0.986533 0.827799i −0.00147066 0.999999i \(-0.500468\pi\)
−0.985062 + 0.172200i \(0.944913\pi\)
\(240\) 634812. 240317.i 0.711405 0.269313i
\(241\) 440102. + 160184.i 0.488102 + 0.177655i 0.574335 0.818620i \(-0.305261\pi\)
−0.0862327 + 0.996275i \(0.527483\pi\)
\(242\) 30552.6 0.0335359
\(243\) −217607. 894391.i −0.236405 0.971655i
\(244\) 1.31997e6 1.41935
\(245\) 670858. + 244172.i 0.714028 + 0.259885i
\(246\) 12695.0 4805.87i 0.0133750 0.00506331i
\(247\) 504426. + 423264.i 0.526084 + 0.441437i
\(248\) 16328.0 92600.6i 0.0168579 0.0956059i
\(249\) −1.63724e6 + 21001.0i −1.67345 + 0.0214655i
\(250\) 34668.4 29090.2i 0.0350819 0.0294372i
\(251\) −322506. 558597.i −0.323112 0.559647i 0.658016 0.753004i \(-0.271396\pi\)
−0.981129 + 0.193357i \(0.938063\pi\)
\(252\) −60526.3 + 53492.3i −0.0600403 + 0.0530628i
\(253\) −1922.77 + 3330.34i −0.00188854 + 0.00327105i
\(254\) 2688.81 + 15249.0i 0.00261502 + 0.0148305i
\(255\) 1.43230e6 + 500604.i 1.37937 + 0.482107i
\(256\) −967743. + 352230.i −0.922911 + 0.335912i
\(257\) 935736. 340580.i 0.883732 0.321652i 0.140017 0.990149i \(-0.455284\pi\)
0.743715 + 0.668497i \(0.233062\pi\)
\(258\) −2884.69 15216.0i −0.00269805 0.0142315i
\(259\) −18723.5 106186.i −0.0173435 0.0983599i
\(260\) −547126. + 947650.i −0.501943 + 0.869390i
\(261\) −925733. + 364092.i −0.841171 + 0.330834i
\(262\) −36850.0 63826.1i −0.0331653 0.0574441i
\(263\) 651289. 546496.i 0.580610 0.487190i −0.304537 0.952500i \(-0.598502\pi\)
0.885147 + 0.465311i \(0.154057\pi\)
\(264\) −21321.7 + 38049.1i −0.0188283 + 0.0335996i
\(265\) 159928. 906994.i 0.139897 0.793396i
\(266\) 1568.19 + 1315.87i 0.00135892 + 0.00114027i
\(267\) 534005. + 436535.i 0.458424 + 0.374750i
\(268\) −567026. 206381.i −0.482243 0.175522i
\(269\) 1.73792e6 1.46437 0.732184 0.681107i \(-0.238501\pi\)
0.732184 + 0.681107i \(0.238501\pi\)
\(270\) −20660.0 32801.6i −0.0172473 0.0273833i
\(271\) −1.37830e6 −1.14004 −0.570019 0.821632i \(-0.693064\pi\)
−0.570019 + 0.821632i \(0.693064\pi\)
\(272\) −2.17893e6 793064.i −1.78575 0.649959i
\(273\) 20928.0 128290.i 0.0169950 0.104180i
\(274\) 47729.5 + 40049.8i 0.0384070 + 0.0322273i
\(275\) 41177.2 233528.i 0.0328341 0.186212i
\(276\) 5353.48 + 9003.79i 0.00423022 + 0.00711463i
\(277\) −428795. + 359802.i −0.335777 + 0.281750i −0.795049 0.606546i \(-0.792555\pi\)
0.459272 + 0.888296i \(0.348110\pi\)
\(278\) −23028.8 39887.1i −0.0178714 0.0309543i
\(279\) 1.49231e6 38290.1i 1.14775 0.0294494i
\(280\) −3404.93 + 5897.51i −0.00259545 + 0.00449545i
\(281\) −285700. 1.62028e6i −0.215846 1.22412i −0.879432 0.476024i \(-0.842078\pi\)
0.663586 0.748100i \(-0.269034\pi\)
\(282\) −6759.77 + 5821.49i −0.00506185 + 0.00435924i
\(283\) 1.35790e6 494235.i 1.00786 0.366832i 0.215252 0.976559i \(-0.430943\pi\)
0.792612 + 0.609726i \(0.208721\pi\)
\(284\) 2.28682e6 832333.i 1.68242 0.612352i
\(285\) 414996. 357393.i 0.302644 0.260635i
\(286\) −6088.42 34529.2i −0.00440139 0.0249615i
\(287\) 18928.3 32784.8i 0.0135646 0.0234946i
\(288\) 93063.2 + 152045.i 0.0661145 + 0.108017i
\(289\) −1.88162e6 3.25906e6i −1.32522 2.29534i
\(290\) −32092.6 + 26928.8i −0.0224083 + 0.0188028i
\(291\) 727221. + 1.22308e6i 0.503424 + 0.846687i
\(292\) −258822. + 1.46785e6i −0.177641 + 1.00745i
\(293\) 589435. + 494594.i 0.401113 + 0.336574i 0.820924 0.571038i \(-0.193459\pi\)
−0.419811 + 0.907612i \(0.637904\pi\)
\(294\) −10032.2 + 61497.8i −0.00676905 + 0.0414946i
\(295\) −1.04751e6 381261.i −0.700812 0.255075i
\(296\) −158590. −0.105208
\(297\) −659312. 211622.i −0.433710 0.139210i
\(298\) 69459.7 0.0453098
\(299\) −15839.9 5765.26i −0.0102465 0.00372942i
\(300\) −500098. 408817.i −0.320813 0.262257i
\(301\) −33086.5 27762.8i −0.0210491 0.0176623i
\(302\) −6173.26 + 35010.3i −0.00389491 + 0.0220891i
\(303\) −707087. + 1.26181e6i −0.442452 + 0.789567i
\(304\) −641174. + 538009.i −0.397916 + 0.333891i
\(305\) 883331. + 1.52997e6i 0.543718 + 0.941747i
\(306\) −19643.1 + 130962.i −0.0119924 + 0.0799545i
\(307\) 406448. 703989.i 0.246127 0.426304i −0.716321 0.697771i \(-0.754175\pi\)
0.962448 + 0.271467i \(0.0875087\pi\)
\(308\) 10551.7 + 59841.8i 0.00633792 + 0.0359442i
\(309\) 339542. + 1.79099e6i 0.202300 + 1.06708i
\(310\) 59077.1 21502.3i 0.0349153 0.0127081i
\(311\) 1.90041e6 691691.i 1.11415 0.405519i 0.281639 0.959520i \(-0.409122\pi\)
0.832516 + 0.554001i \(0.186900\pi\)
\(312\) −180479. 63079.6i −0.104964 0.0366862i
\(313\) 263796. + 1.49606e6i 0.152197 + 0.863154i 0.961304 + 0.275491i \(0.0888406\pi\)
−0.809106 + 0.587662i \(0.800048\pi\)
\(314\) 45598.0 78978.1i 0.0260989 0.0452046i
\(315\) −102508. 34358.7i −0.0582076 0.0195101i
\(316\) 418195. + 724336.i 0.235593 + 0.408058i
\(317\) −853604. + 716259.i −0.477099 + 0.400333i −0.849376 0.527788i \(-0.823021\pi\)
0.372277 + 0.928122i \(0.378577\pi\)
\(318\) 80377.6 1031.01i 0.0445725 0.000571735i
\(319\) −129944. + 736948.i −0.0714955 + 0.405471i
\(320\) −1.06165e6 890831.i −0.579571 0.486318i
\(321\) −2.38949e6 + 904576.i −1.29432 + 0.489984i
\(322\) −49.2441 17.9234i −2.64676e−5 9.63342e-6i
\(323\) −1.87092e6 −0.997810
\(324\) −1.38082e6 + 1.28492e6i −0.730762 + 0.680007i
\(325\) 1.03943e6 0.545869
\(326\) −129532. 47146.0i −0.0675048 0.0245697i
\(327\) 2.17881e6 824822.i 1.12681 0.426570i
\(328\) −42653.6 35790.6i −0.0218913 0.0183690i
\(329\) −4320.28 + 24501.5i −0.00220050 + 0.0124797i
\(330\) −29159.5 + 374.031i −0.0147399 + 0.000189070i
\(331\) −971190. + 814926.i −0.487230 + 0.408835i −0.853033 0.521858i \(-0.825239\pi\)
0.365802 + 0.930693i \(0.380795\pi\)
\(332\) 1.67759e6 + 2.90567e6i 0.835297 + 1.44678i
\(333\) −500660. 2.46748e6i −0.247419 1.21939i
\(334\) −79788.6 + 138198.i −0.0391359 + 0.0677853i
\(335\) −140242. 795352.i −0.0682757 0.387211i
\(336\) 155972. + 54513.9i 0.0753699 + 0.0263426i
\(337\) 35977.4 13094.7i 0.0172566 0.00628089i −0.333377 0.942793i \(-0.608188\pi\)
0.350634 + 0.936513i \(0.385966\pi\)
\(338\) 60903.0 22166.9i 0.0289966 0.0105539i
\(339\) 433649. + 2.28739e6i 0.204946 + 1.08104i
\(340\) −539882. 3.06182e6i −0.253280 1.43642i
\(341\) 561486. 972522.i 0.261489 0.452911i
\(342\) 37394.3 + 29776.9i 0.0172878 + 0.0137662i
\(343\) 174340. + 301965.i 0.0800131 + 0.138587i
\(344\) −48664.3 + 40834.2i −0.0221725 + 0.0186049i
\(345\) −6853.71 + 12230.6i −0.00310012 + 0.00553224i
\(346\) −6469.59 + 36690.9i −0.00290527 + 0.0164766i
\(347\) −336446. 282311.i −0.150000 0.125865i 0.564699 0.825297i \(-0.308992\pi\)
−0.714699 + 0.699432i \(0.753437\pi\)
\(348\) 1.57817e6 + 1.29011e6i 0.698563 + 0.571057i
\(349\) −2.14147e6 779432.i −0.941128 0.342543i −0.174517 0.984654i \(-0.555836\pi\)
−0.766611 + 0.642111i \(0.778059\pi\)
\(350\) 3231.45 0.00141003
\(351\) 411683. 3.00719e6i 0.178359 1.30285i
\(352\) 134102. 0.0576870
\(353\) 586126. + 213333.i 0.250354 + 0.0911214i 0.464149 0.885757i \(-0.346360\pi\)
−0.213795 + 0.976879i \(0.568582\pi\)
\(354\) 15664.7 96025.3i 0.00664376 0.0407265i
\(355\) 2.49511e6 + 2.09365e6i 1.05080 + 0.881724i
\(356\) 245424. 1.39187e6i 0.102634 0.582067i
\(357\) 188748. + 317448.i 0.0783813 + 0.131826i
\(358\) 84935.3 71269.2i 0.0350252 0.0293896i
\(359\) −479880. 831177.i −0.196515 0.340375i 0.750881 0.660438i \(-0.229629\pi\)
−0.947396 + 0.320063i \(0.896296\pi\)
\(360\) −75948.8 + 139705.i −0.0308862 + 0.0568138i
\(361\) 900382. 1.55951e6i 0.363629 0.629824i
\(362\) 4593.04 + 26048.4i 0.00184217 + 0.0104474i
\(363\) 1.50762e6 1.29836e6i 0.600519 0.517164i
\(364\) −250293. + 91099.3i −0.0990138 + 0.0360381i
\(365\) −1.87459e6 + 682295.i −0.736503 + 0.268065i
\(366\) −116839. + 100622.i −0.0455918 + 0.0392635i
\(367\) 399907. + 2.26798e6i 0.154986 + 0.878971i 0.958798 + 0.284088i \(0.0916907\pi\)
−0.803812 + 0.594883i \(0.797198\pi\)
\(368\) 10713.1 18555.7i 0.00412379 0.00714261i
\(369\) 422206. 776631.i 0.161421 0.296926i
\(370\) −53017.3 91828.6i −0.0201332 0.0348717i
\(371\) 171733. 144101.i 0.0647766 0.0543540i
\(372\) −1.56332e6 2.62928e6i −0.585719 0.985096i
\(373\) 224484. 1.27311e6i 0.0835436 0.473799i −0.914118 0.405449i \(-0.867115\pi\)
0.997661 0.0683506i \(-0.0217736\pi\)
\(374\) 76313.2 + 64034.3i 0.0282111 + 0.0236719i
\(375\) 474503. 2.90872e6i 0.174245 1.06813i
\(376\) 34386.4 + 12515.6i 0.0125435 + 0.00456545i
\(377\) −3.28016e6 −1.18862
\(378\) 1279.87 9348.94i 0.000460718 0.00336537i
\(379\) 1.37520e6 0.491777 0.245888 0.969298i \(-0.420920\pi\)
0.245888 + 0.969298i \(0.420920\pi\)
\(380\) −1.05458e6 383836.i −0.374645 0.136360i
\(381\) 780699. + 638201.i 0.275532 + 0.225240i
\(382\) 82909.8 + 69569.6i 0.0290702 + 0.0243928i
\(383\) −251350. + 1.42548e6i −0.0875552 + 0.496550i 0.909221 + 0.416314i \(0.136678\pi\)
−0.996776 + 0.0802359i \(0.974433\pi\)
\(384\) 238024. 424759.i 0.0823744 0.146999i
\(385\) −62301.4 + 52277.1i −0.0214213 + 0.0179746i
\(386\) −80347.1 139165.i −0.0274475 0.0475404i
\(387\) −788963. 628249.i −0.267781 0.213233i
\(388\) 1.45790e6 2.52515e6i 0.491641 0.851547i
\(389\) 476167. + 2.70048e6i 0.159546 + 0.904829i 0.954511 + 0.298175i \(0.0963778\pi\)
−0.794966 + 0.606655i \(0.792511\pi\)
\(390\) −23809.9 125591.i −0.00792676 0.0418116i
\(391\) 45005.4 16380.6i 0.0148875 0.00541861i
\(392\) 240180. 87418.3i 0.0789444 0.0287334i
\(393\) −4.53072e6 1.58354e6i −1.47974 0.517186i
\(394\) −25212.3 142986.i −0.00818224 0.0464038i
\(395\) −559719. + 969461.i −0.180500 + 0.312635i
\(396\) 282150. + 1.39056e6i 0.0904154 + 0.445608i
\(397\) 1.87457e6 + 3.24686e6i 0.596934 + 1.03392i 0.993271 + 0.115814i \(0.0369478\pi\)
−0.396337 + 0.918105i \(0.629719\pi\)
\(398\) 765.846 642.621i 0.000242345 0.000203352i
\(399\) 133301. 1709.87i 0.0419182 0.000537687i
\(400\) −229427. + 1.30115e6i −0.0716961 + 0.406609i
\(401\) 18934.1 + 15887.6i 0.00588010 + 0.00493399i 0.645723 0.763572i \(-0.276556\pi\)
−0.639843 + 0.768506i \(0.721001\pi\)
\(402\) 65924.0 24956.5i 0.0203460 0.00770226i
\(403\) 4.62556e6 + 1.68357e6i 1.41874 + 0.516378i
\(404\) 2.96391e6 0.903465
\(405\) −2.41341e6 740636.i −0.731128 0.224371i
\(406\) −10197.6 −0.00307030
\(407\) −1.77979e6 647789.i −0.532577 0.193842i
\(408\) 508023. 192320.i 0.151089 0.0571970i
\(409\) 466811. + 391701.i 0.137985 + 0.115784i 0.709168 0.705039i \(-0.249071\pi\)
−0.571183 + 0.820823i \(0.693515\pi\)
\(410\) 6464.63 36662.7i 0.00189926 0.0107712i
\(411\) 4.05717e6 52041.6i 1.18473 0.0151966i
\(412\) 2.86144e6 2.40103e6i 0.830503 0.696875i
\(413\) −135671. 234989.i −0.0391392 0.0677910i
\(414\) −1160.24 388.890i −0.000332695 0.000111513i
\(415\) −2.24531e6 + 3.88900e6i −0.639965 + 1.10845i
\(416\) 102074. + 578889.i 0.0289188 + 0.164007i
\(417\) −2.83140e6 989606.i −0.797372 0.278690i
\(418\) 33790.6 12298.8i 0.00945923 0.00344288i
\(419\) −4.29315e6 + 1.56258e6i −1.19465 + 0.434818i −0.861355 0.508004i \(-0.830383\pi\)
−0.333297 + 0.942822i \(0.608161\pi\)
\(420\) 41264.5 + 217659.i 0.0114144 + 0.0602080i
\(421\) 7495.15 + 42507.1i 0.00206099 + 0.0116884i 0.985821 0.167801i \(-0.0536666\pi\)
−0.983760 + 0.179489i \(0.942555\pi\)
\(422\) −30274.4 + 52436.8i −0.00827550 + 0.0143336i
\(423\) −86173.0 + 574525.i −0.0234164 + 0.156120i
\(424\) −164865. 285555.i −0.0445363 0.0771391i
\(425\) −2.26236e6 + 1.89834e6i −0.607560 + 0.509803i
\(426\) −138973. + 248001.i −0.0371028 + 0.0662109i
\(427\) −74674.0 + 423497.i −0.0198198 + 0.112404i
\(428\) 4.01060e6 + 3.36529e6i 1.05828 + 0.888001i
\(429\) −1.76778e6 1.44511e6i −0.463751 0.379105i
\(430\) −39912.9 14527.1i −0.0104098 0.00378885i
\(431\) −522848. −0.135576 −0.0677879 0.997700i \(-0.521594\pi\)
−0.0677879 + 0.997700i \(0.521594\pi\)
\(432\) 3.67349e6 + 1.17910e6i 0.947043 + 0.303977i
\(433\) −6.99922e6 −1.79403 −0.897016 0.441998i \(-0.854270\pi\)
−0.897016 + 0.441998i \(0.854270\pi\)
\(434\) 14380.2 + 5233.97i 0.00366472 + 0.00133385i
\(435\) −439248. + 2.69261e6i −0.111298 + 0.682261i
\(436\) −3.65700e6 3.06858e6i −0.921316 0.773076i
\(437\) 3002.02 17025.3i 0.000751987 0.00426473i
\(438\) −88984.8 149660.i −0.0221631 0.0372752i
\(439\) −1.82734e6 + 1.53332e6i −0.452541 + 0.379727i −0.840378 0.542001i \(-0.817667\pi\)
0.387837 + 0.921728i \(0.373222\pi\)
\(440\) 59810.0 + 103594.i 0.0147280 + 0.0255096i
\(441\) 2.11836e6 + 3.46095e6i 0.518685 + 0.847420i
\(442\) −218336. + 378169.i −0.0531581 + 0.0920725i
\(443\) −569355. 3.22897e6i −0.137839 0.781726i −0.972840 0.231478i \(-0.925644\pi\)
0.835001 0.550249i \(-0.185467\pi\)
\(444\) −3.90932e6 + 3.36669e6i −0.941118 + 0.810487i
\(445\) 1.77755e6 646976.i 0.425522 0.154878i
\(446\) −85083.7 + 30967.9i −0.0202539 + 0.00737182i
\(447\) 3.42750e6 2.95175e6i 0.811352 0.698733i
\(448\) −58579.3 332220.i −0.0137895 0.0782042i
\(449\) 1.13802e6 1.97111e6i 0.266400 0.461419i −0.701529 0.712641i \(-0.747499\pi\)
0.967930 + 0.251222i \(0.0808324\pi\)
\(450\) 75431.6 1935.45i 0.0175599 0.000450558i
\(451\) −332490. 575889.i −0.0769727 0.133321i
\(452\) 3.65451e6 3.06650e6i 0.841363 0.705988i
\(453\) 1.18317e6 + 1.98993e6i 0.270896 + 0.455609i
\(454\) −24810.9 + 140710.i −0.00564941 + 0.0320394i
\(455\) −273091. 229151.i −0.0618414 0.0518911i
\(456\) 31569.2 193521.i 0.00710971 0.0435828i
\(457\) 1.88674e6 + 686717.i 0.422592 + 0.153811i 0.544558 0.838723i \(-0.316698\pi\)
−0.121966 + 0.992534i \(0.538920\pi\)
\(458\) 87267.4 0.0194396
\(459\) 4.59607e6 + 7.29711e6i 1.01825 + 1.61666i
\(460\) 28728.8 0.00633028
\(461\) 7.58603e6 + 2.76109e6i 1.66250 + 0.605101i 0.990753 0.135678i \(-0.0433214\pi\)
0.671748 + 0.740779i \(0.265544\pi\)
\(462\) −5495.78 4492.66i −0.00119791 0.000979261i
\(463\) −4.39970e6 3.69179e6i −0.953830 0.800358i 0.0261088 0.999659i \(-0.491688\pi\)
−0.979938 + 0.199301i \(0.936133\pi\)
\(464\) 724008. 4.10606e6i 0.156116 0.885380i
\(465\) 2.00141e6 3.57157e6i 0.429244 0.765997i
\(466\) −99112.1 + 83165.0i −0.0211428 + 0.0177409i
\(467\) −3.73526e6 6.46967e6i −0.792554 1.37274i −0.924380 0.381472i \(-0.875417\pi\)
0.131826 0.991273i \(-0.457916\pi\)
\(468\) −5.78801e6 + 2.27644e6i −1.22156 + 0.480442i
\(469\) 98293.2 170249.i 0.0206344 0.0357398i
\(470\) 4248.57 + 24094.8i 0.000887152 + 0.00503129i
\(471\) −1.10620e6 5.83491e6i −0.229764 1.21194i
\(472\) −375027. + 136499.i −0.0774832 + 0.0282016i
\(473\) −712932. + 259486.i −0.146519 + 0.0533287i
\(474\) −92233.9 32236.8i −0.0188558 0.00659031i
\(475\) 185116. + 1.04984e6i 0.0376451 + 0.213496i
\(476\) 378394. 655397.i 0.0765467 0.132583i
\(477\) 3.92244e6 3.46659e6i 0.789332 0.697601i
\(478\) −136113. 235754.i −0.0272477 0.0471944i
\(479\) 1.61591e6 1.35591e6i 0.321794 0.270017i −0.467552 0.883965i \(-0.654864\pi\)
0.789346 + 0.613948i \(0.210420\pi\)
\(480\) 488866. 6270.72i 0.0968472 0.00124226i
\(481\) 1.44166e6 8.17605e6i 0.284118 1.61132i
\(482\) 85881.3 + 72063.0i 0.0168376 + 0.0141285i
\(483\) −3191.63 + 1208.24i −0.000622508 + 0.000235659i
\(484\) −3.83115e6 1.39442e6i −0.743388 0.270571i
\(485\) 3.90254e6 0.753344
\(486\) 24276.4 218998.i 0.00466222 0.0420581i
\(487\) 3.05549e6 0.583793 0.291896 0.956450i \(-0.405714\pi\)
0.291896 + 0.956450i \(0.405714\pi\)
\(488\) 594353. + 216327.i 0.112978 + 0.0411208i
\(489\) −8.39531e6 + 3.17817e6i −1.58769 + 0.601042i
\(490\) 130911. + 109847.i 0.0246312 + 0.0206680i
\(491\) 340940. 1.93357e6i 0.0638226 0.361956i −0.936125 0.351669i \(-0.885614\pi\)
0.999947 0.0102870i \(-0.00327452\pi\)
\(492\) −1.81123e6 + 23232.7i −0.337334 + 0.00432701i
\(493\) 7.13937e6 5.99064e6i 1.32295 1.11008i
\(494\) 78811.6 + 136506.i 0.0145302 + 0.0251671i
\(495\) −1.42299e6 + 1.25762e6i −0.261029 + 0.230693i
\(496\) −3.12843e6 + 5.41860e6i −0.570982 + 0.988970i
\(497\) 137674. + 780788.i 0.0250012 + 0.141789i
\(498\) −369996. 129318.i −0.0668535 0.0233661i
\(499\) −8.58872e6 + 3.12604e6i −1.54411 + 0.562008i −0.967026 0.254680i \(-0.918030\pi\)
−0.577080 + 0.816688i \(0.695808\pi\)
\(500\) −5.67492e6 + 2.06550e6i −1.01516 + 0.369488i
\(501\) 1.93566e6 + 1.02101e7i 0.344536 + 1.81734i
\(502\) −26811.1 152053.i −0.00474849 0.0269300i
\(503\) 2.27101e6 3.93350e6i 0.400220 0.693201i −0.593532 0.804810i \(-0.702267\pi\)
0.993752 + 0.111609i \(0.0356004\pi\)
\(504\) −36020.5 + 14166.9i −0.00631646 + 0.00248427i
\(505\) 1.98347e6 + 3.43547e6i 0.346096 + 0.599456i
\(506\) −705.162 + 591.701i −0.000122437 + 0.000102737i
\(507\) 2.06327e6 3.68196e6i 0.356481 0.636149i
\(508\) 358802. 2.03487e6i 0.0616873 0.349846i
\(509\) 3.85363e6 + 3.23358e6i 0.659289 + 0.553209i 0.909874 0.414885i \(-0.136178\pi\)
−0.250584 + 0.968095i \(0.580623\pi\)
\(510\) 281193. + 229868.i 0.0478717 + 0.0391339i
\(511\) −456302. 166080.i −0.0773037 0.0281362i
\(512\) −1.24604e6 −0.210066
\(513\) 3.11062e6 119753.i 0.521860 0.0200906i
\(514\) 238366. 0.0397957
\(515\) 4.69793e6 + 1.70991e6i 0.780528 + 0.284089i
\(516\) −332733. + 2.03967e6i −0.0550139 + 0.337237i
\(517\) 334782. + 280915.i 0.0550852 + 0.0462220i
\(518\) 4481.91 25418.2i 0.000733903 0.00416217i
\(519\) 1.23997e6 + 2.08545e6i 0.202065 + 0.339845i
\(520\) −401668. + 337040.i −0.0651417 + 0.0546604i
\(521\) −558858. 967971.i −0.0902002 0.156231i 0.817395 0.576077i \(-0.195417\pi\)
−0.907595 + 0.419846i \(0.862084\pi\)
\(522\) −238041. + 6107.73i −0.0382362 + 0.000981078i
\(523\) −1.12279e6 + 1.94473e6i −0.179492 + 0.310889i −0.941707 0.336435i \(-0.890779\pi\)
0.762215 + 0.647324i \(0.224112\pi\)
\(524\) 1.70778e6 + 9.68532e6i 0.271709 + 1.54094i
\(525\) 159457. 137323.i 0.0252490 0.0217443i
\(526\) 191242. 69606.3i 0.0301383 0.0109694i
\(527\) −1.31424e7 + 4.78345e6i −2.06133 + 0.750264i
\(528\) 2.19916e6 1.89391e6i 0.343299 0.295648i
\(529\) −1.11758e6 6.33812e6i −0.173636 0.984740i
\(530\) 110230. 190924.i 0.0170455 0.0295237i
\(531\) −3.30770e6 5.40407e6i −0.509085 0.831735i
\(532\) −136587. 236576.i −0.0209233 0.0362402i
\(533\) 2.23291e6 1.87364e6i 0.340450 0.285672i
\(534\) 84378.5 + 141913.i 0.0128050 + 0.0215362i
\(535\) −1.21679e6 + 6.90077e6i −0.183794 + 1.04235i
\(536\) −221497. 185858.i −0.0333009 0.0279427i
\(537\) 1.16250e6 7.12619e6i 0.173964 1.06640i
\(538\) 390925. + 142285.i 0.0582288 + 0.0211936i
\(539\) 3.05251e6 0.452569
\(540\) 1.09360e6 + 5.05609e6i 0.161389 + 0.746158i
\(541\) 3.75984e6 0.552302 0.276151 0.961114i \(-0.410941\pi\)
0.276151 + 0.961114i \(0.410941\pi\)
\(542\) −310031. 112842.i −0.0453322 0.0164996i
\(543\) 1.33360e6 + 1.09018e6i 0.194100 + 0.158671i
\(544\) −1.27941e6 1.07355e6i −0.185358 0.155534i
\(545\) 1.10951e6 6.29235e6i 0.160007 0.907447i
\(546\) 15210.7 27143.8i 0.00218357 0.00389663i
\(547\) −4.62555e6 + 3.88130e6i −0.660991 + 0.554637i −0.910384 0.413765i \(-0.864213\pi\)
0.249393 + 0.968402i \(0.419769\pi\)
\(548\) −4.15717e6 7.20042e6i −0.591352 1.02425i
\(549\) −1.48946e6 + 9.93039e6i −0.210910 + 1.40616i
\(550\) 28381.4 49158.0i 0.00400062 0.00692928i
\(551\) −584173. 3.31301e6i −0.0819714 0.464883i
\(552\) 934.945 + 4931.59i 0.000130599 + 0.000688873i
\(553\) −256054. + 93196.0i −0.0356056 + 0.0129594i
\(554\) −125910. + 45827.3i −0.0174295 + 0.00634381i
\(555\) −6.51848e6 2.27828e6i −0.898285 0.313961i
\(556\) 1.06725e6 + 6.05268e6i 0.146413 + 0.830349i
\(557\) −4.88291e6 + 8.45744e6i −0.666869 + 1.15505i 0.311906 + 0.950113i \(0.399033\pi\)
−0.978775 + 0.204938i \(0.934301\pi\)
\(558\) 338811. + 113563.i 0.0460651 + 0.0154402i
\(559\) −1.66281e6 2.88007e6i −0.225067 0.389828i
\(560\) 347125. 291273.i 0.0467752 0.0392491i
\(561\) 6.48688e6 83207.6i 0.870220 0.0111624i
\(562\) 68389.1 387854.i 0.00913368 0.0517997i
\(563\) 6.64600e6 + 5.57666e6i 0.883668 + 0.741486i 0.966930 0.255042i \(-0.0820893\pi\)
−0.0832617 + 0.996528i \(0.526534\pi\)
\(564\) 1.11334e6 421469.i 0.147377 0.0557915i
\(565\) 6.00001e6 + 2.18383e6i 0.790735 + 0.287804i
\(566\) 345907. 0.0453856
\(567\) −334136. 515714.i −0.0436481 0.0673676i
\(568\) 1.16612e6 0.151660
\(569\) −4.10478e6 1.49402e6i −0.531508 0.193453i 0.0623037 0.998057i \(-0.480155\pi\)
−0.593811 + 0.804604i \(0.702377\pi\)
\(570\) 122608. 46415.1i 0.0158064 0.00598374i
\(571\) 4.62094e6 + 3.87743e6i 0.593117 + 0.497684i 0.889225 0.457470i \(-0.151244\pi\)
−0.296108 + 0.955154i \(0.595689\pi\)
\(572\) −812455. + 4.60766e6i −0.103827 + 0.588831i
\(573\) 7.04762e6 90400.2i 0.896718 0.0115023i
\(574\) 6941.81 5824.87i 0.000879414 0.000737916i
\(575\) −13644.8 23633.5i −0.00172106 0.00298097i
\(576\) −1.56639e6 7.71989e6i −0.196718 0.969516i
\(577\) −670217. + 1.16085e6i −0.0838061 + 0.145156i −0.904882 0.425663i \(-0.860041\pi\)
0.821076 + 0.570819i \(0.193374\pi\)
\(578\) −156426. 887135.i −0.0194755 0.110451i
\(579\) −9.87869e6 3.45272e6i −1.22462 0.428020i
\(580\) 5.25328e6 1.91204e6i 0.648427 0.236008i
\(581\) −1.02716e6 + 373856.i −0.126240 + 0.0459477i
\(582\) 63444.9 + 334656.i 0.00776407 + 0.0409535i
\(583\) −683810. 3.87808e6i −0.0833228 0.472547i
\(584\) −357105. + 618525.i −0.0433276 + 0.0750456i
\(585\) −6.51200e6 5.18548e6i −0.786728 0.626469i
\(586\) 92093.4 + 159510.i 0.0110786 + 0.0191887i
\(587\) −8.44352e6 + 7.08496e6i −1.01141 + 0.848676i −0.988524 0.151062i \(-0.951731\pi\)
−0.0228886 + 0.999738i \(0.507286\pi\)
\(588\) 4.06475e6 7.25365e6i 0.484832 0.865194i
\(589\) −876647. + 4.97171e6i −0.104121 + 0.590497i
\(590\) −204410. 171520.i −0.0241753 0.0202855i
\(591\) −7.32042e6 5.98426e6i −0.862120 0.704760i
\(592\) 9.91645e6 + 3.60929e6i 1.16293 + 0.423270i
\(593\) 3.96800e6 0.463378 0.231689 0.972790i \(-0.425575\pi\)
0.231689 + 0.972790i \(0.425575\pi\)
\(594\) −130979. 101580.i −0.0152312 0.0118125i
\(595\) 1.01290e6 0.117293
\(596\) −8.70991e6 3.17015e6i −1.00438 0.365564i
\(597\) 10482.1 64255.6i 0.00120368 0.00737862i
\(598\) −3091.00 2593.65i −0.000353464 0.000296592i
\(599\) 1.63958e6 9.29850e6i 0.186709 1.05888i −0.737032 0.675858i \(-0.763773\pi\)
0.923740 0.383019i \(-0.125116\pi\)
\(600\) −158184. 266042.i −0.0179384 0.0301698i
\(601\) 9.27279e6 7.78080e6i 1.04719 0.878694i 0.0543923 0.998520i \(-0.482678\pi\)
0.992795 + 0.119825i \(0.0382334\pi\)
\(602\) −5169.44 8953.73i −0.000581369 0.00100696i
\(603\) 2.19248e6 4.03298e6i 0.245552 0.451682i
\(604\) 2.37197e6 4.10837e6i 0.264556 0.458224i
\(605\) −947554. 5.37384e6i −0.105248 0.596893i
\(606\) −262356. + 225940.i −0.0290208 + 0.0249926i
\(607\) 1.06761e7 3.88577e6i 1.17609 0.428060i 0.321268 0.946988i \(-0.395891\pi\)
0.854818 + 0.518928i \(0.173669\pi\)
\(608\) −566508. + 206192.i −0.0621508 + 0.0226211i
\(609\) −503200. + 433354.i −0.0549791 + 0.0473478i
\(610\) 73434.5 + 416468.i 0.00799053 + 0.0453166i
\(611\) −957827. + 1.65901e6i −0.103797 + 0.179781i
\(612\) 8.44028e6 1.55255e7i 0.910916 1.67559i
\(613\) −1.63113e6 2.82521e6i −0.175323 0.303668i 0.764950 0.644089i \(-0.222764\pi\)
−0.940273 + 0.340422i \(0.889430\pi\)
\(614\) 149062. 125078.i 0.0159568 0.0133893i
\(615\) −1.23902e6 2.08385e6i −0.132096 0.222166i
\(616\) −5056.15 + 28674.9i −0.000536869 + 0.00304473i
\(617\) 5.85697e6 + 4.91458e6i 0.619384 + 0.519725i 0.897610 0.440791i \(-0.145302\pi\)
−0.278226 + 0.960516i \(0.589746\pi\)
\(618\) −70254.1 + 430661.i −0.00739947 + 0.0453591i
\(619\) −1.28260e7 4.66830e6i −1.34545 0.489702i −0.433922 0.900950i \(-0.642871\pi\)
−0.911523 + 0.411248i \(0.865093\pi\)
\(620\) −8.38935e6 −0.876494
\(621\) −73778.4 + 30115.4i −0.00767715 + 0.00313372i
\(622\) 484103. 0.0501720
\(623\) 432681. + 157483.i 0.0446630 + 0.0162560i
\(624\) 9.84955e6 + 8.05175e6i 1.01264 + 0.827807i
\(625\) −3.08643e6 2.58982e6i −0.316050 0.265197i
\(626\) −63145.8 + 358118.i −0.00644034 + 0.0365250i
\(627\) 1.14476e6 2.04285e6i 0.116291 0.207524i
\(628\) −9.32233e6 + 7.82237e6i −0.943247 + 0.791478i
\(629\) 1.17943e7 + 2.04284e7i 1.18863 + 2.05876i
\(630\) −20244.9 16120.9i −0.00203219 0.00161823i
\(631\) 3.13718e6 5.43375e6i 0.313665 0.543284i −0.665488 0.746409i \(-0.731776\pi\)
0.979153 + 0.203125i \(0.0651098\pi\)
\(632\) 69594.6 + 394691.i 0.00693079 + 0.0393065i
\(633\) 734451. + 3.87404e6i 0.0728540 + 0.384286i
\(634\) −250649. + 91228.6i −0.0247652 + 0.00901380i
\(635\) 2.59873e6 945860.i 0.255756 0.0930877i
\(636\) −1.01260e7 3.53916e6i −0.992649 0.346942i
\(637\) 2.32347e6 + 1.31770e7i 0.226876 + 1.28668i
\(638\) −89563.7 + 155129.i −0.00871125 + 0.0150883i
\(639\) 3.68136e6 + 1.81434e7i 0.356662 + 1.75779i
\(640\) −667686. 1.15647e6i −0.0644351 0.111605i
\(641\) −7.34401e6 + 6.16236e6i −0.705973 + 0.592382i −0.923466 0.383680i \(-0.874657\pi\)
0.217493 + 0.976062i \(0.430212\pi\)
\(642\) −611545. + 7844.32i −0.0585586 + 0.000751134i
\(643\) 1.08463e6 6.15125e6i 0.103456 0.586727i −0.888370 0.459128i \(-0.848162\pi\)
0.991826 0.127599i \(-0.0407270\pi\)
\(644\) 5356.95 + 4495.01i 0.000508982 + 0.000427087i
\(645\) −2.58685e6 + 979290.i −0.244834 + 0.0926856i
\(646\) −420840. 153173.i −0.0396767 0.0144411i
\(647\) −1.31564e7 −1.23560 −0.617799 0.786336i \(-0.711976\pi\)
−0.617799 + 0.786336i \(0.711976\pi\)
\(648\) −832340. + 352272.i −0.0778687 + 0.0329565i
\(649\) −4.76632e6 −0.444192
\(650\) 233808. + 85099.2i 0.0217058 + 0.00790027i
\(651\) 932016. 352828.i 0.0861928 0.0326295i
\(652\) 1.40910e7 + 1.18237e7i 1.29814 + 1.08927i
\(653\) 3.57324e6 2.02648e7i 0.327929 1.85978i −0.160313 0.987066i \(-0.551250\pi\)
0.488241 0.872709i \(-0.337639\pi\)
\(654\) 557626. 7152.71i 0.0509799 0.000653922i
\(655\) −1.00834e7 + 8.46098e6i −0.918341 + 0.770579i
\(656\) 1.85253e6 + 3.20868e6i 0.168076 + 0.291117i
\(657\) −1.07509e7 3.60350e6i −0.971698 0.325695i
\(658\) −2977.75 + 5157.61i −0.000268117 + 0.000464391i
\(659\) −1.35582e6 7.68924e6i −0.121615 0.689715i −0.983261 0.182204i \(-0.941677\pi\)
0.861645 0.507511i \(-0.169434\pi\)
\(660\) 3.67353e6 + 1.28394e6i 0.328265 + 0.114732i
\(661\) −1.01080e7 + 3.67900e6i −0.899830 + 0.327511i −0.750185 0.661228i \(-0.770035\pi\)
−0.149646 + 0.988740i \(0.547813\pi\)
\(662\) −285176. + 103796.i −0.0252911 + 0.00920522i
\(663\) 5.29679e6 + 2.79392e7i 0.467982 + 2.46848i
\(664\) 279179. + 1.58330e6i 0.0245732 + 0.139362i
\(665\) 182810. 316636.i 0.0160304 0.0277656i
\(666\) 89397.0 596019.i 0.00780975 0.0520685i
\(667\) 43059.1 + 74580.6i 0.00374758 + 0.00649099i
\(668\) 1.63125e7 1.36878e7i 1.41442 1.18684i
\(669\) −2.88246e6 + 5.14382e6i −0.248999 + 0.444345i
\(670\) 33570.3 190386.i 0.00288913 0.0163851i
\(671\) 5.78654e6 + 4.85548e6i 0.496150 + 0.416319i
\(672\) 92138.1 + 75320.5i 0.00787075 + 0.00643413i
\(673\) −1.62726e7 5.92273e6i −1.38490 0.504063i −0.461240 0.887275i \(-0.652595\pi\)
−0.923660 + 0.383213i \(0.874818\pi\)
\(674\) 9164.76 0.000777090
\(675\) 3.63994e6 3.30104e6i 0.307492 0.278863i
\(676\) −8.64864e6 −0.727915
\(677\) −5.62735e6 2.04819e6i −0.471880 0.171750i 0.0951236 0.995465i \(-0.469675\pi\)
−0.567004 + 0.823715i \(0.691898\pi\)
\(678\) −89725.8 + 550023.i −0.00749623 + 0.0459522i
\(679\) 727692. + 610606.i 0.0605722 + 0.0508261i
\(680\) 258699. 1.46716e6i 0.0214547 0.121676i
\(681\) 4.75528e6 + 7.99771e6i 0.392924 + 0.660842i
\(682\) 205920. 172788.i 0.0169527 0.0142250i
\(683\) 5.70090e6 + 9.87425e6i 0.467618 + 0.809939i 0.999315 0.0369959i \(-0.0117788\pi\)
−0.531697 + 0.846935i \(0.678446\pi\)
\(684\) −3.33004e6 5.44056e6i −0.272150 0.444635i
\(685\) 5.56401e6 9.63715e6i 0.453066 0.784734i
\(686\) 14493.5 + 82196.8i 0.00117588 + 0.00666875i
\(687\) 4.30623e6 3.70850e6i 0.348101 0.299783i
\(688\) 3.97225e6 1.44578e6i 0.319937 0.116448i
\(689\) 1.62204e7 5.90373e6i 1.30170 0.473782i
\(690\) −2542.99 + 2190.01i −0.000203340 + 0.000175115i
\(691\) −2.89204e6 1.64016e7i −0.230414 1.30674i −0.852060 0.523444i \(-0.824647\pi\)
0.621646 0.783298i \(-0.286464\pi\)
\(692\) 2.48583e6 4.30558e6i 0.197336 0.341796i
\(693\) −462110. + 11857.0i −0.0365521 + 0.000937866i
\(694\) −52566.4 91047.6i −0.00414295 0.00717579i
\(695\) −6.30146e6 + 5.28755e6i −0.494856 + 0.415234i
\(696\) 499183. + 839554.i 0.0390604 + 0.0656940i
\(697\) −1.43813e6 + 8.15605e6i −0.112129 + 0.635914i
\(698\) −417886. 350648.i −0.0324653 0.0272416i
\(699\) −1.35654e6 + 8.31565e6i −0.105012 + 0.643729i
\(700\) −405208. 147484.i −0.0312560 0.0113763i
\(701\) 9.07012e6 0.697137 0.348568 0.937283i \(-0.386668\pi\)
0.348568 + 0.937283i \(0.386668\pi\)
\(702\) 338804. 642727.i 0.0259481 0.0492247i
\(703\) 8.51467e6 0.649800
\(704\) −5.56834e6 2.02671e6i −0.423442 0.154120i
\(705\) 1.23358e6 + 1.00842e6i 0.0934746 + 0.0764131i
\(706\) 114376. + 95973.2i 0.00863624 + 0.00724666i
\(707\) −167676. + 950939.i −0.0126160 + 0.0715491i
\(708\) −6.34688e6 + 1.13262e7i −0.475858 + 0.849180i
\(709\) −2.71131e6 + 2.27506e6i −0.202564 + 0.169972i −0.738427 0.674334i \(-0.764431\pi\)
0.535862 + 0.844305i \(0.319987\pi\)
\(710\) 389837. + 675217.i 0.0290226 + 0.0502687i
\(711\) −5.92123e6 + 2.32883e6i −0.439276 + 0.172768i
\(712\) 338620. 586507.i 0.0250330 0.0433584i
\(713\) −22441.3 127271.i −0.00165320 0.00937575i
\(714\) 16467.0 + 86859.0i 0.00120884 + 0.00637631i
\(715\) −5.88445e6 + 2.14176e6i −0.430468 + 0.156677i
\(716\) −1.39032e7 + 5.06035e6i −1.01352 + 0.368891i
\(717\) −1.67351e7 5.84911e6i −1.21571 0.424905i
\(718\) −39894.2 226251.i −0.00288801 0.0163787i
\(719\) 7.01698e6 1.21538e7i 0.506207 0.876776i −0.493767 0.869594i \(-0.664381\pi\)
0.999974 0.00718202i \(-0.00228613\pi\)
\(720\) 7.92847e6 7.00707e6i 0.569978 0.503738i
\(721\) 608466. + 1.05389e6i 0.0435911 + 0.0755021i
\(722\) 330208. 277077.i 0.0235746 0.0197815i
\(723\) 7.30021e6 93640.2i 0.519385 0.00666218i
\(724\) 612908. 3.47597e6i 0.0434559 0.246451i
\(725\) −4.06797e6 3.41344e6i −0.287431 0.241183i
\(726\) 445420. 168620.i 0.0313637 0.0118732i
\(727\) −5.70543e6 2.07661e6i −0.400362 0.145720i 0.133989 0.990983i \(-0.457221\pi\)
−0.534350 + 0.845263i \(0.679444\pi\)
\(728\) −127632. −0.00892547
\(729\) −8.10860e6 1.18382e7i −0.565102 0.825021i
\(730\) −477527. −0.0331658
\(731\) 8.87909e6 + 3.23173e6i 0.614576 + 0.223687i
\(732\) 1.92435e7 7.28490e6i 1.32741 0.502512i
\(733\) −8.99390e6 7.54678e6i −0.618284 0.518802i 0.278980 0.960297i \(-0.410004\pi\)
−0.897264 + 0.441495i \(0.854448\pi\)
\(734\) −95727.2 + 542896.i −0.00655836 + 0.0371943i
\(735\) 1.11279e7 142738.i 0.759791 0.00974588i
\(736\) 11822.2 9920.00i 0.000804459 0.000675021i
\(737\) −1.72659e6 2.99054e6i −0.117090 0.202806i
\(738\) 158554. 140127.i 0.0107161 0.00947070i
\(739\) 1.09082e7 1.88936e7i 0.734756 1.27263i −0.220075 0.975483i \(-0.570630\pi\)
0.954830 0.297151i \(-0.0960365\pi\)
\(740\) 2.45704e6 + 1.39346e7i 0.164943 + 0.935436i
\(741\) 9.68990e6 + 3.38673e6i 0.648297 + 0.226587i
\(742\) 50426.8 18353.9i 0.00336242 0.00122382i
\(743\) 1.65674e7 6.03002e6i 1.10098 0.400725i 0.273305 0.961927i \(-0.411883\pi\)
0.827679 + 0.561202i \(0.189661\pi\)
\(744\) −273022. 1.44012e6i −0.0180828 0.0953818i
\(745\) −2.15421e6 1.22171e7i −0.142199 0.806453i
\(746\) 154726. 267993.i 0.0101792 0.0176309i
\(747\) −2.37530e7 + 9.34210e6i −1.55746 + 0.612552i
\(748\) −6.64676e6 1.15125e7i −0.434366 0.752345i
\(749\) −1.30661e6 + 1.09638e6i −0.0851023 + 0.0714093i
\(750\) 344873. 615434.i 0.0223875 0.0399511i
\(751\) −3.20400e6 + 1.81708e7i −0.207297 + 1.17564i 0.686487 + 0.727142i \(0.259152\pi\)
−0.893784 + 0.448498i \(0.851959\pi\)
\(752\) −1.86530e6 1.56518e6i −0.120283 0.100930i
\(753\) −7.78464e6 6.36374e6i −0.500324 0.409002i
\(754\) −737832. 268549.i −0.0472639 0.0172026i
\(755\) 6.34936e6 0.405380
\(756\) −587175. + 1.11390e6i −0.0373648 + 0.0708828i
\(757\) 753643. 0.0477998 0.0238999 0.999714i \(-0.492392\pi\)
0.0238999 + 0.999714i \(0.492392\pi\)