Properties

Label 80.6.q.a.29.19
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.19
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.80183 + 4.91424i) q^{2} +(12.4641 - 12.4641i) q^{3} +(-16.2995 - 27.5377i) q^{4} +(55.1914 + 8.88296i) q^{5} +(26.3294 + 96.1740i) q^{6} -61.0801 q^{7} +(180.995 - 2.94408i) q^{8} -67.7088i q^{9} +O(q^{10})\) \(q+(-2.80183 + 4.91424i) q^{2} +(12.4641 - 12.4641i) q^{3} +(-16.2995 - 27.5377i) q^{4} +(55.1914 + 8.88296i) q^{5} +(26.3294 + 96.1740i) q^{6} -61.0801 q^{7} +(180.995 - 2.94408i) q^{8} -67.7088i q^{9} +(-198.290 + 246.336i) q^{10} +(-0.0360246 + 0.0360246i) q^{11} +(-546.393 - 140.074i) q^{12} +(573.425 - 573.425i) q^{13} +(171.136 - 300.162i) q^{14} +(798.631 - 577.194i) q^{15} +(-492.650 + 897.704i) q^{16} -2194.98i q^{17} +(332.737 + 189.708i) q^{18} +(24.3976 + 24.3976i) q^{19} +(-654.979 - 1664.63i) q^{20} +(-761.309 + 761.309i) q^{21} +(-0.0760989 - 0.277968i) q^{22} +1563.06 q^{23} +(2219.25 - 2292.64i) q^{24} +(2967.19 + 980.526i) q^{25} +(1211.31 + 4424.58i) q^{26} +(2184.85 + 2184.85i) q^{27} +(995.577 + 1682.00i) q^{28} +(-281.280 - 281.280i) q^{29} +(598.848 + 5541.86i) q^{30} +5178.79 q^{31} +(-3031.22 - 4936.21i) q^{32} +0.898030i q^{33} +(10786.7 + 6149.96i) q^{34} +(-3371.10 - 542.572i) q^{35} +(-1864.54 + 1103.62i) q^{36} +(-5637.20 - 5637.20i) q^{37} +(-188.253 + 51.5378i) q^{38} -14294.5i q^{39} +(10015.5 + 1445.29i) q^{40} -6435.13i q^{41} +(-1608.20 - 5874.32i) q^{42} +(13559.5 + 13559.5i) q^{43} +(1.57922 + 0.404850i) q^{44} +(601.454 - 3736.95i) q^{45} +(-4379.42 + 7681.25i) q^{46} -10279.2i q^{47} +(5048.65 + 17329.5i) q^{48} -13076.2 q^{49} +(-13132.1 + 11834.2i) q^{50} +(-27358.5 - 27358.5i) q^{51} +(-25137.4 - 6444.24i) q^{52} +(919.815 + 919.815i) q^{53} +(-16858.5 + 4615.32i) q^{54} +(-2.30825 + 1.66824i) q^{55} +(-11055.2 + 179.825i) q^{56} +608.189 q^{57} +(2170.37 - 594.180i) q^{58} +(-23491.8 + 23491.8i) q^{59} +(-28911.9 - 12584.5i) q^{60} +(-16909.0 - 16909.0i) q^{61} +(-14510.1 + 25449.8i) q^{62} +4135.66i q^{63} +(32750.7 - 1065.73i) q^{64} +(36741.8 - 26554.4i) q^{65} +(-4.41313 - 2.51612i) q^{66} +(-15202.5 + 15202.5i) q^{67} +(-60444.8 + 35777.2i) q^{68} +(19482.2 - 19482.2i) q^{69} +(12111.5 - 15046.2i) q^{70} +32856.2i q^{71} +(-199.340 - 12255.0i) q^{72} +70073.5 q^{73} +(43497.0 - 11908.1i) q^{74} +(49204.8 - 24762.0i) q^{75} +(274.184 - 1069.52i) q^{76} +(2.20038 - 2.20038i) q^{77} +(70246.5 + 40050.6i) q^{78} -68146.7 q^{79} +(-35164.3 + 45169.4i) q^{80} +70917.8 q^{81} +(31623.8 + 18030.1i) q^{82} +(-51773.1 + 51773.1i) q^{83} +(33373.7 + 8555.71i) q^{84} +(19497.9 - 121144. i) q^{85} +(-104626. + 28643.4i) q^{86} -7011.81 q^{87} +(-6.41422 + 6.62634i) q^{88} +95297.0i q^{89} +(16679.1 + 13426.0i) q^{90} +(-35024.8 + 35024.8i) q^{91} +(-25477.1 - 43043.0i) q^{92} +(64549.1 - 64549.1i) q^{93} +(50514.5 + 28800.5i) q^{94} +(1129.81 + 1563.26i) q^{95} +(-99307.0 - 23744.1i) q^{96} +7203.64i q^{97} +(36637.3 - 64259.7i) q^{98} +(2.43918 + 2.43918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.80183 + 4.91424i −0.495297 + 0.868723i
\(3\) 12.4641 12.4641i 0.799574 0.799574i −0.183454 0.983028i \(-0.558728\pi\)
0.983028 + 0.183454i \(0.0587279\pi\)
\(4\) −16.2995 27.5377i −0.509361 0.860553i
\(5\) 55.1914 + 8.88296i 0.987294 + 0.158903i
\(6\) 26.3294 + 96.1740i 0.298582 + 1.09064i
\(7\) −61.0801 −0.471145 −0.235572 0.971857i \(-0.575696\pi\)
−0.235572 + 0.971857i \(0.575696\pi\)
\(8\) 180.995 2.94408i 0.999868 0.0162639i
\(9\) 67.7088i 0.278637i
\(10\) −198.290 + 246.336i −0.627047 + 0.778981i
\(11\) −0.0360246 + 0.0360246i −8.97671e−5 + 8.97671e-5i −0.707152 0.707062i \(-0.750020\pi\)
0.707062 + 0.707152i \(0.250020\pi\)
\(12\) −546.393 140.074i −1.09535 0.280804i
\(13\) 573.425 573.425i 0.941062 0.941062i −0.0572955 0.998357i \(-0.518248\pi\)
0.998357 + 0.0572955i \(0.0182477\pi\)
\(14\) 171.136 300.162i 0.233357 0.409294i
\(15\) 798.631 577.194i 0.916470 0.662360i
\(16\) −492.650 + 897.704i −0.481103 + 0.876664i
\(17\) 2194.98i 1.84208i −0.389466 0.921041i \(-0.627341\pi\)
0.389466 0.921041i \(-0.372659\pi\)
\(18\) 332.737 + 189.708i 0.242059 + 0.138008i
\(19\) 24.3976 + 24.3976i 0.0155047 + 0.0155047i 0.714817 0.699312i \(-0.246510\pi\)
−0.699312 + 0.714817i \(0.746510\pi\)
\(20\) −654.979 1664.63i −0.366144 0.930558i
\(21\) −761.309 + 761.309i −0.376715 + 0.376715i
\(22\) −0.0760989 0.277968i −3.35214e−5 0.000122444i
\(23\) 1563.06 0.616106 0.308053 0.951369i \(-0.400323\pi\)
0.308053 + 0.951369i \(0.400323\pi\)
\(24\) 2219.25 2292.64i 0.786464 0.812472i
\(25\) 2967.19 + 980.526i 0.949500 + 0.313768i
\(26\) 1211.31 + 4424.58i 0.351417 + 1.28363i
\(27\) 2184.85 + 2184.85i 0.576783 + 0.576783i
\(28\) 995.577 + 1682.00i 0.239983 + 0.405445i
\(29\) −281.280 281.280i −0.0621074 0.0621074i 0.675371 0.737478i \(-0.263984\pi\)
−0.737478 + 0.675371i \(0.763984\pi\)
\(30\) 598.848 + 5541.86i 0.121483 + 1.12422i
\(31\) 5178.79 0.967886 0.483943 0.875100i \(-0.339204\pi\)
0.483943 + 0.875100i \(0.339204\pi\)
\(32\) −3031.22 4936.21i −0.523289 0.852155i
\(33\) 0.898030i 0.000143551i
\(34\) 10786.7 + 6149.96i 1.60026 + 0.912378i
\(35\) −3371.10 542.572i −0.465158 0.0748664i
\(36\) −1864.54 + 1103.62i −0.239782 + 0.141927i
\(37\) −5637.20 5637.20i −0.676954 0.676954i 0.282356 0.959310i \(-0.408884\pi\)
−0.959310 + 0.282356i \(0.908884\pi\)
\(38\) −188.253 + 51.5378i −0.0211487 + 0.00578985i
\(39\) 14294.5i 1.50490i
\(40\) 10015.5 + 1445.29i 0.989748 + 0.142825i
\(41\) 6435.13i 0.597857i −0.954275 0.298929i \(-0.903371\pi\)
0.954275 0.298929i \(-0.0966293\pi\)
\(42\) −1608.20 5874.32i −0.140675 0.513847i
\(43\) 13559.5 + 13559.5i 1.11834 + 1.11834i 0.991985 + 0.126354i \(0.0403276\pi\)
0.126354 + 0.991985i \(0.459672\pi\)
\(44\) 1.57922 + 0.404850i 0.000122973 + 3.15255e-5i
\(45\) 601.454 3736.95i 0.0442763 0.275097i
\(46\) −4379.42 + 7681.25i −0.305156 + 0.535226i
\(47\) 10279.2i 0.678758i −0.940650 0.339379i \(-0.889783\pi\)
0.940650 0.339379i \(-0.110217\pi\)
\(48\) 5048.65 + 17329.5i 0.316280 + 1.08564i
\(49\) −13076.2 −0.778023
\(50\) −13132.1 + 11834.2i −0.742863 + 0.669444i
\(51\) −27358.5 27358.5i −1.47288 1.47288i
\(52\) −25137.4 6444.24i −1.28917 0.330494i
\(53\) 919.815 + 919.815i 0.0449791 + 0.0449791i 0.729239 0.684259i \(-0.239874\pi\)
−0.684259 + 0.729239i \(0.739874\pi\)
\(54\) −16858.5 + 4615.32i −0.786744 + 0.215386i
\(55\) −2.30825 + 1.66824i −0.000102891 + 7.43622e-5i
\(56\) −11055.2 + 179.825i −0.471082 + 0.00766266i
\(57\) 608.189 0.0247943
\(58\) 2170.37 594.180i 0.0847158 0.0231925i
\(59\) −23491.8 + 23491.8i −0.878589 + 0.878589i −0.993389 0.114800i \(-0.963377\pi\)
0.114800 + 0.993389i \(0.463377\pi\)
\(60\) −28911.9 12584.5i −1.03681 0.451290i
\(61\) −16909.0 16909.0i −0.581827 0.581827i 0.353578 0.935405i \(-0.384965\pi\)
−0.935405 + 0.353578i \(0.884965\pi\)
\(62\) −14510.1 + 25449.8i −0.479391 + 0.840825i
\(63\) 4135.66i 0.131278i
\(64\) 32750.7 1065.73i 0.999471 0.0325235i
\(65\) 36741.8 26554.4i 1.07864 0.779567i
\(66\) −4.41313 2.51612i −0.000124706 7.11004e-5i
\(67\) −15202.5 + 15202.5i −0.413741 + 0.413741i −0.883039 0.469299i \(-0.844507\pi\)
0.469299 + 0.883039i \(0.344507\pi\)
\(68\) −60444.8 + 35777.2i −1.58521 + 0.938284i
\(69\) 19482.2 19482.2i 0.492623 0.492623i
\(70\) 12111.5 15046.2i 0.295430 0.367013i
\(71\) 32856.2i 0.773521i 0.922180 + 0.386760i \(0.126406\pi\)
−0.922180 + 0.386760i \(0.873594\pi\)
\(72\) −199.340 12255.0i −0.00453173 0.278600i
\(73\) 70073.5 1.53903 0.769515 0.638629i \(-0.220498\pi\)
0.769515 + 0.638629i \(0.220498\pi\)
\(74\) 43497.0 11908.1i 0.923380 0.252792i
\(75\) 49204.8 24762.0i 1.01008 0.508314i
\(76\) 274.184 1069.52i 0.00544512 0.0212401i
\(77\) 2.20038 2.20038i 4.22933e−5 4.22933e-5i
\(78\) 70246.5 + 40050.6i 1.30734 + 0.745372i
\(79\) −68146.7 −1.22851 −0.614253 0.789109i \(-0.710542\pi\)
−0.614253 + 0.789109i \(0.710542\pi\)
\(80\) −35164.3 + 45169.4i −0.614295 + 0.789076i
\(81\) 70917.8 1.20100
\(82\) 31623.8 + 18030.1i 0.519373 + 0.296117i
\(83\) −51773.1 + 51773.1i −0.824915 + 0.824915i −0.986808 0.161894i \(-0.948240\pi\)
0.161894 + 0.986808i \(0.448240\pi\)
\(84\) 33373.7 + 8555.71i 0.516067 + 0.132299i
\(85\) 19497.9 121144.i 0.292713 1.81868i
\(86\) −104626. + 28643.4i −1.52544 + 0.417617i
\(87\) −7011.81 −0.0993190
\(88\) −6.41422 + 6.62634i −8.82952e−5 + 9.12152e-5i
\(89\) 95297.0i 1.27528i 0.770336 + 0.637638i \(0.220088\pi\)
−0.770336 + 0.637638i \(0.779912\pi\)
\(90\) 16679.1 + 13426.0i 0.217053 + 0.174719i
\(91\) −35024.8 + 35024.8i −0.443376 + 0.443376i
\(92\) −25477.1 43043.0i −0.313820 0.530192i
\(93\) 64549.1 64549.1i 0.773896 0.773896i
\(94\) 50514.5 + 28800.5i 0.589653 + 0.336187i
\(95\) 1129.81 + 1563.26i 0.0128439 + 0.0177714i
\(96\) −99307.0 23744.1i −1.09977 0.262952i
\(97\) 7203.64i 0.0777361i 0.999244 + 0.0388680i \(0.0123752\pi\)
−0.999244 + 0.0388680i \(0.987625\pi\)
\(98\) 36637.3 64259.7i 0.385353 0.675886i
\(99\) 2.43918 + 2.43918i 2.50124e−5 + 2.50124e-5i
\(100\) −21362.4 97691.6i −0.213624 0.976916i
\(101\) −41112.0 + 41112.0i −0.401019 + 0.401019i −0.878592 0.477573i \(-0.841517\pi\)
0.477573 + 0.878592i \(0.341517\pi\)
\(102\) 211100. 57792.6i 2.00904 0.550012i
\(103\) −152983. −1.42086 −0.710430 0.703768i \(-0.751499\pi\)
−0.710430 + 0.703768i \(0.751499\pi\)
\(104\) 102099. 105475.i 0.925632 0.956243i
\(105\) −48780.4 + 35255.1i −0.431790 + 0.312067i
\(106\) −7097.36 + 1943.03i −0.0613525 + 0.0167964i
\(107\) 146519. + 146519.i 1.23718 + 1.23718i 0.961147 + 0.276037i \(0.0890211\pi\)
0.276037 + 0.961147i \(0.410979\pi\)
\(108\) 24553.7 95777.9i 0.202562 0.790143i
\(109\) −42624.3 42624.3i −0.343630 0.343630i 0.514100 0.857730i \(-0.328126\pi\)
−0.857730 + 0.514100i \(0.828126\pi\)
\(110\) −1.73083 16.0174i −1.36387e−5 0.000126215i
\(111\) −140526. −1.08255
\(112\) 30091.1 54831.8i 0.226669 0.413036i
\(113\) 62468.0i 0.460216i −0.973165 0.230108i \(-0.926092\pi\)
0.973165 0.230108i \(-0.0739079\pi\)
\(114\) −1704.04 + 2988.79i −0.0122805 + 0.0215394i
\(115\) 86267.4 + 13884.6i 0.608278 + 0.0979012i
\(116\) −3161.06 + 12330.5i −0.0218116 + 0.0850818i
\(117\) −38825.9 38825.9i −0.262215 0.262215i
\(118\) −49624.4 181264.i −0.328088 1.19841i
\(119\) 134070.i 0.867887i
\(120\) 142849. 106821.i 0.905576 0.677178i
\(121\) 161051.i 1.00000i
\(122\) 130471. 35718.9i 0.793624 0.217269i
\(123\) −80208.3 80208.3i −0.478031 0.478031i
\(124\) −84411.9 142612.i −0.493003 0.832917i
\(125\) 155053. + 80474.0i 0.887577 + 0.460660i
\(126\) −20323.6 11587.4i −0.114045 0.0650219i
\(127\) 208970.i 1.14967i 0.818268 + 0.574837i \(0.194935\pi\)
−0.818268 + 0.574837i \(0.805065\pi\)
\(128\) −86524.4 + 163931.i −0.466782 + 0.884373i
\(129\) 338015. 1.78839
\(130\) 27550.6 + 254959.i 0.142979 + 1.32316i
\(131\) −49412.8 49412.8i −0.251571 0.251571i 0.570043 0.821615i \(-0.306926\pi\)
−0.821615 + 0.570043i \(0.806926\pi\)
\(132\) 24.7297 14.6375i 0.000123533 7.31192e-5i
\(133\) −1490.21 1490.21i −0.00730495 0.00730495i
\(134\) −32114.0 117304.i −0.154501 0.564351i
\(135\) 101177. + 139993.i 0.477802 + 0.661107i
\(136\) −6462.21 397282.i −0.0299595 1.84184i
\(137\) −327003. −1.48850 −0.744252 0.667899i \(-0.767194\pi\)
−0.744252 + 0.667899i \(0.767194\pi\)
\(138\) 41154.4 + 150326.i 0.183958 + 0.671948i
\(139\) 271985. 271985.i 1.19401 1.19401i 0.218077 0.975932i \(-0.430022\pi\)
0.975932 0.218077i \(-0.0699784\pi\)
\(140\) 40006.2 + 101676.i 0.172507 + 0.438428i
\(141\) −128121. 128121.i −0.542717 0.542717i
\(142\) −161464. 92057.5i −0.671976 0.383123i
\(143\) 41.3148i 0.000168953i
\(144\) 60782.5 + 33356.7i 0.244271 + 0.134053i
\(145\) −13025.6 18022.8i −0.0514492 0.0711874i
\(146\) −196334. + 344358.i −0.762277 + 1.33699i
\(147\) −162984. + 162984.i −0.622087 + 0.622087i
\(148\) −63351.7 + 247119.i −0.237741 + 0.927369i
\(149\) −292503. + 292503.i −1.07935 + 1.07935i −0.0827874 + 0.996567i \(0.526382\pi\)
−0.996567 + 0.0827874i \(0.973618\pi\)
\(150\) −16176.8 + 311183.i −0.0587037 + 1.12924i
\(151\) 5484.26i 0.0195738i 0.999952 + 0.00978691i \(0.00311532\pi\)
−0.999952 + 0.00978691i \(0.996885\pi\)
\(152\) 4487.68 + 4344.02i 0.0157548 + 0.0152505i
\(153\) −148620. −0.513272
\(154\) 4.64812 + 16.9783i 1.57934e−5 + 5.76889e-5i
\(155\) 285825. + 46003.0i 0.955588 + 0.153800i
\(156\) −393637. + 232993.i −1.29504 + 0.766536i
\(157\) 105885. 105885.i 0.342836 0.342836i −0.514597 0.857432i \(-0.672058\pi\)
0.857432 + 0.514597i \(0.172058\pi\)
\(158\) 190935. 334889.i 0.608476 1.06723i
\(159\) 22929.4 0.0719283
\(160\) −123449. 299363.i −0.381230 0.924480i
\(161\) −95471.7 −0.290275
\(162\) −198699. + 348507.i −0.594852 + 1.04334i
\(163\) 102328. 102328.i 0.301667 0.301667i −0.539999 0.841666i \(-0.681575\pi\)
0.841666 + 0.539999i \(0.181575\pi\)
\(164\) −177209. + 104890.i −0.514488 + 0.304525i
\(165\) −7.97716 + 49.5635i −2.28107e−5 + 0.000141727i
\(166\) −109366. 399485.i −0.308045 1.12520i
\(167\) −258989. −0.718605 −0.359303 0.933221i \(-0.616985\pi\)
−0.359303 + 0.933221i \(0.616985\pi\)
\(168\) −135552. + 140035.i −0.370538 + 0.382792i
\(169\) 286339.i 0.771194i
\(170\) 540702. + 435243.i 1.43495 + 1.15507i
\(171\) 1651.93 1651.93i 0.00432018 0.00432018i
\(172\) 152384. 594413.i 0.392752 1.53203i
\(173\) 518477. 518477.i 1.31709 1.31709i 0.401013 0.916072i \(-0.368658\pi\)
0.916072 0.401013i \(-0.131342\pi\)
\(174\) 19645.9 34457.7i 0.0491924 0.0862807i
\(175\) −181236. 59890.6i −0.447352 0.147830i
\(176\) −14.5919 50.0869i −3.55083e−5 0.000121883i
\(177\) 585609.i 1.40499i
\(178\) −468313. 267006.i −1.10786 0.631641i
\(179\) 28027.6 + 28027.6i 0.0653813 + 0.0653813i 0.739041 0.673660i \(-0.235279\pi\)
−0.673660 + 0.739041i \(0.735279\pi\)
\(180\) −112710. + 44347.8i −0.259288 + 0.102021i
\(181\) 73896.0 73896.0i 0.167658 0.167658i −0.618291 0.785949i \(-0.712175\pi\)
0.785949 + 0.618291i \(0.212175\pi\)
\(182\) −73987.0 270254.i −0.165568 0.604775i
\(183\) −421512. −0.930427
\(184\) 282906. 4601.77i 0.616025 0.0100203i
\(185\) −261050. 361200.i −0.560783 0.775923i
\(186\) 136355. + 498065.i 0.288993 + 1.05561i
\(187\) 79.0733 + 79.0733i 0.000165358 + 0.000165358i
\(188\) −283066. + 167546.i −0.584107 + 0.345733i
\(189\) −133451. 133451.i −0.271748 0.271748i
\(190\) −10847.8 + 1172.20i −0.0218000 + 0.00235569i
\(191\) −529701. −1.05062 −0.525312 0.850910i \(-0.676051\pi\)
−0.525312 + 0.850910i \(0.676051\pi\)
\(192\) 394925. 421492.i 0.773146 0.825156i
\(193\) 463856.i 0.896375i 0.893939 + 0.448188i \(0.147930\pi\)
−0.893939 + 0.448188i \(0.852070\pi\)
\(194\) −35400.4 20183.3i −0.0675311 0.0385025i
\(195\) 126977. 788933.i 0.239133 1.48578i
\(196\) 213137. + 360089.i 0.396294 + 0.669530i
\(197\) 318289. + 318289.i 0.584328 + 0.584328i 0.936090 0.351762i \(-0.114417\pi\)
−0.351762 + 0.936090i \(0.614417\pi\)
\(198\) −18.8209 + 5.15256i −3.41175e−5 + 9.34029e-6i
\(199\) 85283.1i 0.152662i 0.997083 + 0.0763309i \(0.0243205\pi\)
−0.997083 + 0.0763309i \(0.975679\pi\)
\(200\) 539934. + 168735.i 0.954477 + 0.298284i
\(201\) 378972.i 0.661632i
\(202\) −86845.7 317223.i −0.149751 0.546999i
\(203\) 17180.6 + 17180.6i 0.0292616 + 0.0292616i
\(204\) −307459. + 1.19932e6i −0.517264 + 2.01772i
\(205\) 57163.0 355164.i 0.0950014 0.590261i
\(206\) 428633. 751797.i 0.703748 1.23433i
\(207\) 105833.i 0.171670i
\(208\) 232268. + 797263.i 0.372247 + 1.27774i
\(209\) −1.75782 −2.78362e−6
\(210\) −36577.7 338497.i −0.0572358 0.529672i
\(211\) 255680. + 255680.i 0.395358 + 0.395358i 0.876592 0.481234i \(-0.159811\pi\)
−0.481234 + 0.876592i \(0.659811\pi\)
\(212\) 10337.0 40322.2i 0.0157963 0.0616175i
\(213\) 409524. + 409524.i 0.618487 + 0.618487i
\(214\) −1.13055e6 + 309509.i −1.68754 + 0.461997i
\(215\) 627921. + 868819.i 0.926422 + 1.28184i
\(216\) 401880. + 389016.i 0.586087 + 0.567326i
\(217\) −316321. −0.456014
\(218\) 328892. 90040.3i 0.468719 0.128320i
\(219\) 873405. 873405.i 1.23057 1.23057i
\(220\) 83.5630 + 36.3723i 0.000116401 + 5.06658e-5i
\(221\) −1.25866e6 1.25866e6i −1.73351 1.73351i
\(222\) 393728. 690577.i 0.536184 0.940437i
\(223\) 1.41022e6i 1.89899i −0.313777 0.949497i \(-0.601595\pi\)
0.313777 0.949497i \(-0.398405\pi\)
\(224\) 185147. + 301504.i 0.246545 + 0.401488i
\(225\) 66390.2 200905.i 0.0874275 0.264566i
\(226\) 306983. + 175024.i 0.399800 + 0.227944i
\(227\) 262444. 262444.i 0.338043 0.338043i −0.517587 0.855631i \(-0.673170\pi\)
0.855631 + 0.517587i \(0.173170\pi\)
\(228\) −9913.20 16748.1i −0.0126292 0.0213368i
\(229\) 458703. 458703.i 0.578020 0.578020i −0.356337 0.934357i \(-0.615975\pi\)
0.934357 + 0.356337i \(0.115975\pi\)
\(230\) −309938. + 385037.i −0.386328 + 0.479935i
\(231\) 54.8517i 6.76332e-5i
\(232\) −51738.5 50082.2i −0.0631093 0.0610891i
\(233\) 1.07048e6 1.29179 0.645893 0.763428i \(-0.276485\pi\)
0.645893 + 0.763428i \(0.276485\pi\)
\(234\) 299583. 82016.5i 0.357666 0.0979178i
\(235\) 91309.8 567324.i 0.107857 0.670134i
\(236\) 1.02981e6 + 264004.i 1.20359 + 0.308554i
\(237\) −849389. + 849389.i −0.982281 + 0.982281i
\(238\) −658851. 375640.i −0.753954 0.429862i
\(239\) 294443. 0.333432 0.166716 0.986005i \(-0.446684\pi\)
0.166716 + 0.986005i \(0.446684\pi\)
\(240\) 124705. + 1.00129e6i 0.139751 + 1.12210i
\(241\) 1.61414e6 1.79019 0.895095 0.445876i \(-0.147108\pi\)
0.895095 + 0.445876i \(0.147108\pi\)
\(242\) −791444. 451237.i −0.868723 0.495297i
\(243\) 353009. 353009.i 0.383504 0.383504i
\(244\) −190026. + 741245.i −0.204333 + 0.797053i
\(245\) −721696. 116156.i −0.768137 0.123630i
\(246\) 618892. 169433.i 0.652045 0.178509i
\(247\) 27980.4 0.0291817
\(248\) 937337. 15246.8i 0.967758 0.0157416i
\(249\) 1.29061e6i 1.31916i
\(250\) −829901. + 536495.i −0.839801 + 0.542895i
\(251\) −103683. + 103683.i −0.103878 + 0.103878i −0.757136 0.653258i \(-0.773402\pi\)
0.653258 + 0.757136i \(0.273402\pi\)
\(252\) 113886. 67409.3i 0.112972 0.0668681i
\(253\) −56.3085 + 56.3085i −5.53061e−5 + 5.53061e-5i
\(254\) −1.02693e6 585498.i −0.998749 0.569431i
\(255\) −1.26693e6 1.75298e6i −1.22012 1.68821i
\(256\) −563169. 884507.i −0.537080 0.843532i
\(257\) 1.10466e6i 1.04327i 0.853169 + 0.521634i \(0.174677\pi\)
−0.853169 + 0.521634i \(0.825323\pi\)
\(258\) −947060. + 1.66109e6i −0.885785 + 1.55362i
\(259\) 344321. + 344321.i 0.318943 + 0.318943i
\(260\) −1.33012e6 578961.i −1.22028 0.531148i
\(261\) −19045.1 + 19045.1i −0.0173054 + 0.0173054i
\(262\) 381272. 104380.i 0.343148 0.0939432i
\(263\) −591589. −0.527389 −0.263695 0.964606i \(-0.584941\pi\)
−0.263695 + 0.964606i \(0.584941\pi\)
\(264\) 2.64387 + 162.539i 2.33470e−6 + 0.000143532i
\(265\) 42595.2 + 58936.6i 0.0372603 + 0.0515549i
\(266\) 11498.5 3147.93i 0.00996410 0.00272786i
\(267\) 1.18779e6 + 1.18779e6i 1.01968 + 1.01968i
\(268\) 666436. + 170848.i 0.566789 + 0.145302i
\(269\) −647690. 647690.i −0.545741 0.545741i 0.379465 0.925206i \(-0.376108\pi\)
−0.925206 + 0.379465i \(0.876108\pi\)
\(270\) −971440. + 104973.i −0.810973 + 0.0876330i
\(271\) 2.29223e6 1.89599 0.947994 0.318289i \(-0.103108\pi\)
0.947994 + 0.318289i \(0.103108\pi\)
\(272\) 1.97044e6 + 1.08136e6i 1.61489 + 0.886231i
\(273\) 873108.i 0.709024i
\(274\) 916205. 1.60697e6i 0.737253 1.29310i
\(275\) −142.215 + 71.5686i −0.000113400 + 5.70677e-5i
\(276\) −854044. 218943.i −0.674851 0.173005i
\(277\) −475738. 475738.i −0.372536 0.372536i 0.495864 0.868400i \(-0.334852\pi\)
−0.868400 + 0.495864i \(0.834852\pi\)
\(278\) 574545. + 2.09865e6i 0.445874 + 1.62865i
\(279\) 350650.i 0.269689i
\(280\) −611750. 88278.2i −0.466315 0.0672912i
\(281\) 1.49546e6i 1.12982i 0.825152 + 0.564911i \(0.191090\pi\)
−0.825152 + 0.564911i \(0.808910\pi\)
\(282\) 988593. 270646.i 0.740278 0.202665i
\(283\) 307291. + 307291.i 0.228078 + 0.228078i 0.811890 0.583811i \(-0.198439\pi\)
−0.583811 + 0.811890i \(0.698439\pi\)
\(284\) 904785. 535542.i 0.665656 0.394001i
\(285\) 33566.8 + 5402.52i 0.0244792 + 0.00393989i
\(286\) −203.031 115.757i −0.000146773 8.36819e-5i
\(287\) 393058.i 0.281677i
\(288\) −334225. + 205240.i −0.237442 + 0.145808i
\(289\) −3.39809e6 −2.39326
\(290\) 125064. 13514.3i 0.0873248 0.00943623i
\(291\) 89787.0 + 89787.0i 0.0621557 + 0.0621557i
\(292\) −1.14217e6 1.92966e6i −0.783921 1.32442i
\(293\) −611457. 611457.i −0.416099 0.416099i 0.467758 0.883857i \(-0.345062\pi\)
−0.883857 + 0.467758i \(0.845062\pi\)
\(294\) −344289. 1.25759e6i −0.232303 0.848539i
\(295\) −1.50522e6 + 1.08787e6i −1.00704 + 0.727815i
\(296\) −1.03690e6 1.00371e6i −0.687875 0.665855i
\(297\) −157.417 −0.000103552
\(298\) −617887. 2.25697e6i −0.403059 1.47226i
\(299\) 896297. 896297.i 0.579794 0.579794i
\(300\) −1.48390e6 951377.i −0.951924 0.610309i
\(301\) −828217. 828217.i −0.526900 0.526900i
\(302\) −26951.0 15365.9i −0.0170042 0.00969486i
\(303\) 1.02485e6i 0.641289i
\(304\) −33921.3 + 9882.35i −0.0210517 + 0.00613304i
\(305\) −783031. 1.08343e6i −0.481980 0.666888i
\(306\) 416406. 730353.i 0.254222 0.445892i
\(307\) −1.86946e6 + 1.86946e6i −1.13206 + 1.13206i −0.142227 + 0.989834i \(0.545426\pi\)
−0.989834 + 0.142227i \(0.954574\pi\)
\(308\) −96.4587 24.7282i −5.79382e−5 1.48531e-5i
\(309\) −1.90680e6 + 1.90680e6i −1.13608 + 1.13608i
\(310\) −1.02690e6 + 1.27572e6i −0.606910 + 0.753965i
\(311\) 620013.i 0.363496i −0.983345 0.181748i \(-0.941824\pi\)
0.983345 0.181748i \(-0.0581755\pi\)
\(312\) −42084.1 2.58723e6i −0.0244755 1.50470i
\(313\) −1.63381e6 −0.942626 −0.471313 0.881966i \(-0.656220\pi\)
−0.471313 + 0.881966i \(0.656220\pi\)
\(314\) 223673. + 817017.i 0.128024 + 0.467635i
\(315\) −36736.9 + 228253.i −0.0208605 + 0.129610i
\(316\) 1.11076e6 + 1.87660e6i 0.625752 + 1.05719i
\(317\) −1.14612e6 + 1.14612e6i −0.640592 + 0.640592i −0.950701 0.310109i \(-0.899634\pi\)
0.310109 + 0.950701i \(0.399634\pi\)
\(318\) −64244.1 + 112681.i −0.0356259 + 0.0624858i
\(319\) 20.2660 1.11504e−5
\(320\) 1.81702e6 + 232104.i 0.991940 + 0.126709i
\(321\) 3.65246e6 1.97844
\(322\) 267495. 469171.i 0.143773 0.252169i
\(323\) 53552.3 53552.3i 0.0285609 0.0285609i
\(324\) −1.15593e6 1.95291e6i −0.611742 1.03352i
\(325\) 2.26372e6 1.13920e6i 1.18881 0.598262i
\(326\) 216160. + 789573.i 0.112650 + 0.411480i
\(327\) −1.06255e6 −0.549516
\(328\) −18945.6 1.16473e6i −0.00972350 0.597778i
\(329\) 627855.i 0.319793i
\(330\) −221.217 178.070i −0.000111823 9.00132e-5i
\(331\) −1.80465e6 + 1.80465e6i −0.905365 + 0.905365i −0.995894 0.0905285i \(-0.971144\pi\)
0.0905285 + 0.995894i \(0.471144\pi\)
\(332\) 2.26959e6 + 581834.i 1.13006 + 0.289704i
\(333\) −381688. + 381688.i −0.188625 + 0.188625i
\(334\) 725642. 1.27273e6i 0.355923 0.624269i
\(335\) −974091. + 704005.i −0.474228 + 0.342739i
\(336\) −308372. 1.05849e6i −0.149014 0.511491i
\(337\) 1.13751e6i 0.545609i 0.962069 + 0.272805i \(0.0879513\pi\)
−0.962069 + 0.272805i \(0.912049\pi\)
\(338\) 1.40714e6 + 802272.i 0.669955 + 0.381971i
\(339\) −778609. 778609.i −0.367977 0.367977i
\(340\) −3.65384e6 + 1.43767e6i −1.71416 + 0.674468i
\(341\) −186.564 + 186.564i −8.68843e−5 + 8.68843e-5i
\(342\) 3489.57 + 12746.4i 0.00161327 + 0.00589281i
\(343\) 1.82527e6 0.837706
\(344\) 2.49413e6 + 2.41429e6i 1.13638 + 1.10000i
\(345\) 1.24831e6 902189.i 0.564643 0.408084i
\(346\) 1.09524e6 + 4.00060e6i 0.491834 + 1.79653i
\(347\) −2.38445e6 2.38445e6i −1.06307 1.06307i −0.997872 0.0652022i \(-0.979231\pi\)
−0.0652022 0.997872i \(1.47923\pi\)
\(348\) 114289. + 193089.i 0.0505892 + 0.0854692i
\(349\) 1.91063e6 + 1.91063e6i 0.839678 + 0.839678i 0.988816 0.149138i \(-0.0476499\pi\)
−0.149138 + 0.988816i \(0.547650\pi\)
\(350\) 802108. 722834.i 0.349996 0.315405i
\(351\) 2.50570e6 1.08558
\(352\) 287.023 + 68.6266i 0.000123470 + 2.95213e-5i
\(353\) 2.02139e6i 0.863404i −0.902016 0.431702i \(-0.857913\pi\)
0.902016 0.431702i \(-0.142087\pi\)
\(354\) −2.87782e6 1.64077e6i −1.22055 0.695890i
\(355\) −291861. + 1.81338e6i −0.122915 + 0.763693i
\(356\) 2.62426e6 1.55330e6i 1.09744 0.649576i
\(357\) 1.67106e6 + 1.67106e6i 0.693940 + 0.693940i
\(358\) −216263. + 59206.0i −0.0891814 + 0.0244151i
\(359\) 2.75691e6i 1.12898i 0.825440 + 0.564489i \(0.190927\pi\)
−0.825440 + 0.564489i \(0.809073\pi\)
\(360\) 97858.6 678141.i 0.0397963 0.275780i
\(361\) 2.47491e6i 0.999519i
\(362\) 156099. + 570187.i 0.0626079 + 0.228689i
\(363\) 2.00736e6 + 2.00736e6i 0.799574 + 0.799574i
\(364\) 1.53539e6 + 393614.i 0.607387 + 0.155710i
\(365\) 3.86746e6 + 622460.i 1.51947 + 0.244557i
\(366\) 1.18100e6 2.07141e6i 0.460838 0.808284i
\(367\) 272135.i 0.105468i 0.998609 + 0.0527339i \(0.0167935\pi\)
−0.998609 + 0.0527339i \(0.983206\pi\)
\(368\) −770040. + 1.40316e6i −0.296411 + 0.540118i
\(369\) −435715. −0.166585
\(370\) 2.50644e6 270844.i 0.951817 0.102852i
\(371\) −56182.4 56182.4i −0.0211917 0.0211917i
\(372\) −2.82965e6 725412.i −1.06017 0.271786i
\(373\) −2.92737e6 2.92737e6i −1.08944 1.08944i −0.995585 0.0938592i \(-0.970080\pi\)
−0.0938592 0.995585i \(1.47008\pi\)
\(374\) −610.135 + 167.036i −0.000225552 + 6.17491e-5i
\(375\) 2.93564e6 929565.i 1.07801 0.341351i
\(376\) −30262.8 1.86049e6i −0.0110393 0.678668i
\(377\) −322586. −0.116894
\(378\) 1.02972e6 281904.i 0.370670 0.101478i
\(379\) 344347. 344347.i 0.123140 0.123140i −0.642851 0.765991i \(-0.722249\pi\)
0.765991 + 0.642851i \(0.222249\pi\)
\(380\) 24633.1 56592.9i 0.00875105 0.0201050i
\(381\) 2.60463e6 + 2.60463e6i 0.919250 + 0.919250i
\(382\) 1.48413e6 2.60308e6i 0.520371 0.912701i
\(383\) 1.00024e6i 0.348423i −0.984708 0.174211i \(-0.944262\pi\)
0.984708 0.174211i \(-0.0557376\pi\)
\(384\) 964802. + 3.12170e6i 0.333895 + 1.08035i
\(385\) 140.988 101.896i 4.84765e−5 3.50354e-5i
\(386\) −2.27950e6 1.29964e6i −0.778702 0.443972i
\(387\) 918100. 918100.i 0.311611 0.311611i
\(388\) 198372. 117416.i 0.0668960 0.0395957i
\(389\) −2.26767e6 + 2.26767e6i −0.759810 + 0.759810i −0.976288 0.216477i \(-0.930543\pi\)
0.216477 + 0.976288i \(0.430543\pi\)
\(390\) 3.52124e6 + 2.83445e6i 1.17229 + 0.943641i
\(391\) 3.43089e6i 1.13492i
\(392\) −2.36674e6 + 38497.5i −0.777920 + 0.0126537i
\(393\) −1.23177e6 −0.402300
\(394\) −2.45594e6 + 672360.i −0.797035 + 0.218203i
\(395\) −3.76111e6 605344.i −1.21290 0.195213i
\(396\) 27.4119 106.927i 8.78417e−6 3.42649e-5i
\(397\) 2.28603e6 2.28603e6i 0.727956 0.727956i −0.242256 0.970212i \(-0.577887\pi\)
0.970212 + 0.242256i \(0.0778874\pi\)
\(398\) −419102. 238948.i −0.132621 0.0756130i
\(399\) −37148.2 −0.0116817
\(400\) −2.34201e6 + 2.18060e6i −0.731877 + 0.681437i
\(401\) 1.58520e6 0.492291 0.246145 0.969233i \(-0.420836\pi\)
0.246145 + 0.969233i \(0.420836\pi\)
\(402\) −1.86236e6 1.06181e6i −0.574776 0.327705i
\(403\) 2.96965e6 2.96965e6i 0.910840 0.910840i
\(404\) 1.80224e6 + 462023.i 0.549362 + 0.140835i
\(405\) 3.91405e6 + 629959.i 1.18574 + 0.190842i
\(406\) −132567. + 36292.5i −0.0399134 + 0.0109270i
\(407\) 406.156 0.000121536
\(408\) −5.03232e6 4.87122e6i −1.49664 1.44873i
\(409\) 784306.i 0.231834i −0.993259 0.115917i \(-0.963019\pi\)
0.993259 0.115917i \(-0.0369807\pi\)
\(410\) 1.58520e6 + 1.27602e6i 0.465720 + 0.374885i
\(411\) −4.07580e6 + 4.07580e6i −1.19017 + 1.19017i
\(412\) 2.49356e6 + 4.21281e6i 0.723730 + 1.22273i
\(413\) 1.43488e6 1.43488e6i 0.413943 0.413943i
\(414\) 520088. + 296525.i 0.149134 + 0.0850277i
\(415\) −3.31733e6 + 2.39753e6i −0.945515 + 0.683352i
\(416\) −4.56872e6 1.09237e6i −1.29438 0.309483i
\(417\) 6.78010e6i 1.90940i
\(418\) 4.92512 8.63838i 1.37872e−6 2.41820e-6i
\(419\) −1.95269e6 1.95269e6i −0.543374 0.543374i 0.381142 0.924516i \(-0.375531\pi\)
−0.924516 + 0.381142i \(0.875531\pi\)
\(420\) 1.76594e6 + 768659.i 0.488487 + 0.212623i
\(421\) 3.54668e6 3.54668e6i 0.975251 0.975251i −0.0244497 0.999701i \(-0.507783\pi\)
0.999701 + 0.0244497i \(0.00778337\pi\)
\(422\) −1.97285e6 + 540103.i −0.539277 + 0.147637i
\(423\) −695993. −0.189127
\(424\) 169190. + 163774.i 0.0457047 + 0.0442416i
\(425\) 2.15224e6 6.51292e6i 0.577987 1.74906i
\(426\) −3.15992e6 + 865086.i −0.843629 + 0.230959i
\(427\) 1.03280e6 + 1.03280e6i 0.274125 + 0.274125i
\(428\) 1.64660e6 6.42298e6i 0.434489 1.69484i
\(429\) 514.952 + 514.952i 0.000135090 + 0.000135090i
\(430\) −6.02891e6 + 651478.i −1.57242 + 0.169914i
\(431\) −5.31788e6 −1.37894 −0.689470 0.724314i \(-0.742157\pi\)
−0.689470 + 0.724314i \(0.742157\pi\)
\(432\) −3.03772e6 + 884984.i −0.783137 + 0.228153i
\(433\) 1.15815e6i 0.296856i 0.988923 + 0.148428i \(0.0474212\pi\)
−0.988923 + 0.148428i \(0.952579\pi\)
\(434\) 886276. 1.55448e6i 0.225863 0.396150i
\(435\) −386992. 62285.6i −0.0980570 0.0157821i
\(436\) −479019. + 1.86853e6i −0.120680 + 0.470744i
\(437\) 38134.8 + 38134.8i 0.00955253 + 0.00955253i
\(438\) 1.84500e6 + 6.73925e6i 0.459526 + 1.67852i
\(439\) 5.71548e6i 1.41544i −0.706493 0.707720i \(-0.749724\pi\)
0.706493 0.707720i \(-0.250276\pi\)
\(440\) −412.872 + 308.740i −0.000101668 + 7.60258e-5i
\(441\) 885376.i 0.216786i
\(442\) 9.71189e6 2.65881e6i 2.36455 0.647338i
\(443\) −2.92177e6 2.92177e6i −0.707355 0.707355i 0.258624 0.965978i \(-0.416731\pi\)
−0.965978 + 0.258624i \(0.916731\pi\)
\(444\) 2.29050e6 + 3.86975e6i 0.551409 + 0.931592i
\(445\) −846519. + 5.25958e6i −0.202645 + 1.25907i
\(446\) 6.93014e6 + 3.95118e6i 1.64970 + 0.940567i
\(447\) 7.29158e6i 1.72605i
\(448\) −2.00041e6 + 65094.9i −0.470896 + 0.0153233i
\(449\) −5.89142e6 −1.37913 −0.689563 0.724226i \(-0.742197\pi\)
−0.689563 + 0.724226i \(0.742197\pi\)
\(450\) 801280. + 889157.i 0.186532 + 0.206989i
\(451\) 231.823 + 231.823i 5.36679e−5 + 5.36679e-5i
\(452\) −1.72022e6 + 1.01820e6i −0.396040 + 0.234416i
\(453\) 68356.5 + 68356.5i 0.0156507 + 0.0156507i
\(454\) 554392. + 2.02504e6i 0.126234 + 0.461098i
\(455\) −2.24419e6 + 1.62195e6i −0.508197 + 0.367289i
\(456\) 110079. 1790.56i 0.0247910 0.000403252i
\(457\) 3.92768e6 0.879723 0.439862 0.898066i \(-0.355028\pi\)
0.439862 + 0.898066i \(0.355028\pi\)
\(458\) 968972. + 3.53938e6i 0.215848 + 0.788431i
\(459\) 4.79571e6 4.79571e6i 1.06248 1.06248i
\(460\) −1.02377e6 2.60192e6i −0.225584 0.573323i
\(461\) −4.19559e6 4.19559e6i −0.919476 0.919476i 0.0775151 0.996991i \(-0.475301\pi\)
−0.996991 + 0.0775151i \(0.975301\pi\)
\(462\) 269.555 + 153.685i 5.87546e−5 + 3.34986e-5i
\(463\) 9.19950e6i 1.99440i 0.0747898 + 0.997199i \(0.476171\pi\)
−0.0747898 + 0.997199i \(0.523829\pi\)
\(464\) 391078. 113934.i 0.0843274 0.0245673i
\(465\) 4.13594e6 2.98917e6i 0.887038 0.641089i
\(466\) −2.99931e6 + 5.26062e6i −0.639818 + 1.12220i
\(467\) −3.96464e6 + 3.96464e6i −0.841224 + 0.841224i −0.989018 0.147794i \(-0.952783\pi\)
0.147794 + 0.989018i \(0.452783\pi\)
\(468\) −436331. + 1.70202e6i −0.0920878 + 0.359212i
\(469\) 928570. 928570.i 0.194932 0.194932i
\(470\) 2.53213e6 + 2.03826e6i 0.528740 + 0.425613i
\(471\) 2.63953e6i 0.548245i
\(472\) −4.18274e6 + 4.32106e6i −0.864183 + 0.892762i
\(473\) −976.953 −0.000200780
\(474\) −1.79426e6 6.55394e6i −0.366809 1.33985i
\(475\) 48469.7 + 96314.6i 0.00985681 + 0.0195866i
\(476\) 3.69197e6 2.18527e6i 0.746863 0.442068i
\(477\) 62279.6 62279.6i 0.0125328 0.0125328i
\(478\) −824979. + 1.44697e6i −0.165148 + 0.289660i
\(479\) 6.30561e6 1.25571 0.627854 0.778331i \(-0.283934\pi\)
0.627854 + 0.778331i \(0.283934\pi\)
\(480\) −5.26998e6 2.19261e6i −1.04401 0.434368i
\(481\) −6.46502e6 −1.27411
\(482\) −4.52254e6 + 7.93228e6i −0.886676 + 1.55518i
\(483\) −1.18997e6 + 1.18997e6i −0.232097 + 0.232097i
\(484\) 4.43497e6 2.62506e6i 0.860553 0.509361i
\(485\) −63989.6 + 397579.i −0.0123525 + 0.0767484i
\(486\) 745702. + 2.72384e6i 0.143210 + 0.523108i
\(487\) 9.09240e6 1.73723 0.868613 0.495491i \(-0.165012\pi\)
0.868613 + 0.495491i \(0.165012\pi\)
\(488\) −3.11024e6 3.01067e6i −0.591213 0.572287i
\(489\) 2.55087e6i 0.482410i
\(490\) 2.59288e6 3.22114e6i 0.487857 0.606065i
\(491\) −3.87803e6 + 3.87803e6i −0.725951 + 0.725951i −0.969810 0.243860i \(-0.921586\pi\)
0.243860 + 0.969810i \(0.421586\pi\)
\(492\) −901393. + 3.51611e6i −0.167881 + 0.654862i
\(493\) −617404. + 617404.i −0.114407 + 0.114407i
\(494\) −78396.1 + 137502.i −0.0144536 + 0.0253508i
\(495\) 112.955 + 156.289i 2.07201e−5 + 2.86692e-5i
\(496\) −2.55133e6 + 4.64902e6i −0.465653 + 0.848511i
\(497\) 2.00686e6i 0.364440i
\(498\) −6.34238e6 3.61607e6i −1.14599 0.653377i
\(499\) 4.41985e6 + 4.41985e6i 0.794614 + 0.794614i 0.982240 0.187627i \(-0.0600795\pi\)
−0.187627 + 0.982240i \(0.560079\pi\)
\(500\) −311229. 5.58150e6i −0.0556743 0.998449i
\(501\) −3.22807e6 + 3.22807e6i −0.574578 + 0.574578i
\(502\) −219022. 800026.i −0.0387908 0.141692i
\(503\) −1.25419e6 −0.221026 −0.110513 0.993875i \(-0.535249\pi\)
−0.110513 + 0.993875i \(0.535249\pi\)
\(504\) 12175.7 + 748535.i 0.00213510 + 0.131261i
\(505\) −2.63423e6 + 1.90383e6i −0.459647 + 0.332201i
\(506\) −118.947 434.480i −2.06527e−5 7.54386e-5i
\(507\) −3.56897e6 3.56897e6i −0.616627 0.616627i
\(508\) 5.75456e6 3.40612e6i 0.989356 0.585599i
\(509\) 6.07857e6 + 6.07857e6i 1.03994 + 1.03994i 0.999169 + 0.0407682i \(0.0129805\pi\)
0.0407682 + 0.999169i \(0.487019\pi\)
\(510\) 1.21643e7 1.31446e6i 2.07091 0.223781i
\(511\) −4.28010e6 −0.725105
\(512\) 5.92458e6 289313.i 0.998810 0.0487745i
\(513\) 106610.i 0.0178857i
\(514\) −5.42857e6 3.09507e6i −0.906312 0.516728i
\(515\) −8.44337e6 1.35894e6i −1.40281 0.225779i
\(516\) −5.50950e6 9.30817e6i −0.910936 1.53900i
\(517\) 370.304 + 370.304i 6.09301e−5 + 6.09301e-5i
\(518\) −2.65680e6 + 727349.i −0.435046 + 0.119102i
\(519\) 1.29247e7i 2.10621i
\(520\) 6.57193e6 4.91440e6i 1.06582 0.797007i
\(521\) 1.14925e6i 0.185490i 0.995690 + 0.0927449i \(0.0295641\pi\)
−0.995690 + 0.0927449i \(0.970436\pi\)
\(522\) −40231.2 146953.i −0.00646230 0.0236050i
\(523\) 5.57645e6 + 5.57645e6i 0.891463 + 0.891463i 0.994661 0.103198i \(-0.0329074\pi\)
−0.103198 + 0.994661i \(0.532907\pi\)
\(524\) −555308. + 2.16612e6i −0.0883499 + 0.344631i
\(525\) −3.00543e6 + 1.51246e6i −0.475892 + 0.239490i
\(526\) 1.65753e6 2.90721e6i 0.261214 0.458155i
\(527\) 1.13674e7i 1.78292i
\(528\) −806.165 442.414i −0.000125846 6.90628e-5i
\(529\) −3.99319e6 −0.620413
\(530\) −408973. + 44193.2i −0.0632419 + 0.00683386i
\(531\) 1.59060e6 + 1.59060e6i 0.244807 + 0.244807i
\(532\) −16747.2 + 65326.5i −0.00256544 + 0.0100071i
\(533\) −3.69006e6 3.69006e6i −0.562621 0.562621i
\(534\) −9.16510e6 + 2.50912e6i −1.39086 + 0.380774i
\(535\) 6.78507e6 + 9.38811e6i 1.02487 + 1.41806i
\(536\) −2.70683e6 + 2.79634e6i −0.406957 + 0.420415i
\(537\) 698679. 0.104554
\(538\) 4.99762e6 1.36819e6i 0.744402 0.203794i
\(539\) 471.065 471.065i 6.98408e−5 6.98408e-5i
\(540\) 2.20594e6 5.06801e6i 0.325544 0.747916i
\(541\) 2.41280e6 + 2.41280e6i 0.354428 + 0.354428i 0.861754 0.507326i \(-0.169366\pi\)
−0.507326 + 0.861754i \(0.669366\pi\)
\(542\) −6.42244e6 + 1.12646e7i −0.939078 + 1.64709i
\(543\) 1.84210e6i 0.268110i
\(544\) −1.08349e7 + 6.65347e6i −1.56974 + 0.963942i
\(545\) −1.97387e6 2.73113e6i −0.284660 0.393868i
\(546\) −4.29066e6 2.44630e6i −0.615946 0.351178i
\(547\) 6.88813e6 6.88813e6i 0.984313 0.984313i −0.0155659 0.999879i \(-0.504955\pi\)
0.999879 + 0.0155659i \(0.00495498\pi\)
\(548\) 5.33000e6 + 9.00491e6i 0.758186 + 1.28094i
\(549\) −1.14489e6 + 1.14489e6i −0.162118 + 0.162118i
\(550\) 46.7553 899.400i 6.59059e−6 0.000126779i
\(551\) 13725.1i 0.00192591i
\(552\) 3.46882e6 3.58354e6i 0.484545 0.500569i
\(553\) 4.16240e6 0.578804
\(554\) 3.67083e6 1.00496e6i 0.508148 0.139115i
\(555\) −7.75581e6 1.24828e6i −1.06880 0.172021i
\(556\) −1.19231e7 3.05661e6i −1.63569 0.419327i
\(557\) −593830. + 593830.i −0.0811006 + 0.0811006i −0.746493 0.665393i \(-0.768264\pi\)
0.665393 + 0.746493i \(0.268264\pi\)
\(558\) 1.72318e6 + 982459.i 0.234285 + 0.133576i
\(559\) 1.55507e7 2.10485
\(560\) 2.14784e6 2.75895e6i 0.289422 0.371769i
\(561\) 1971.16 0.000264432
\(562\) −7.34908e6 4.19003e6i −0.981504 0.559598i
\(563\) 5.00758e6 5.00758e6i 0.665820 0.665820i −0.290925 0.956746i \(-0.593963\pi\)
0.956746 + 0.290925i \(0.0939631\pi\)
\(564\) −1.43985e6 + 5.61649e6i −0.190598 + 0.743476i
\(565\) 554901. 3.44770e6i 0.0731297 0.454368i
\(566\) −2.37108e6 + 649127.i −0.311104 + 0.0851704i
\(567\) −4.33166e6 −0.565844
\(568\) 96731.5 + 5.94683e6i 0.0125805 + 0.773418i
\(569\) 9.22655e6i 1.19470i 0.801981 + 0.597350i \(0.203780\pi\)
−0.801981 + 0.597350i \(0.796220\pi\)
\(570\) −120598. + 149819.i −0.0155472 + 0.0193143i
\(571\) −2.11298e6 + 2.11298e6i −0.271209 + 0.271209i −0.829587 0.558378i \(-0.811424\pi\)
0.558378 + 0.829587i \(0.311424\pi\)
\(572\) 1137.71 673.412i 0.000145393 8.60579e-5i
\(573\) −6.60226e6 + 6.60226e6i −0.840051 + 0.840051i
\(574\) −1.93158e6 1.10128e6i −0.244700 0.139514i
\(575\) 4.63789e6 + 1.53262e6i 0.584993 + 0.193315i
\(576\) −72159.4 2.21751e6i −0.00906226 0.278490i
\(577\) 6.15309e6i 0.769402i −0.923041 0.384701i \(-0.874305\pi\)
0.923041 0.384701i \(-0.125695\pi\)
\(578\) 9.52086e6 1.66990e7i 1.18538 2.07908i
\(579\) 5.78156e6 + 5.78156e6i 0.716718 + 0.716718i
\(580\) −283995. + 652460.i −0.0350543 + 0.0805349i
\(581\) 3.16230e6 3.16230e6i 0.388654 0.388654i
\(582\) −692803. + 189668.i −0.0847817 + 0.0232106i
\(583\) −66.2719 −8.07529e−6
\(584\) 1.26830e7 206302.i 1.53883 0.0250306i
\(585\) −1.79797e6 2.48775e6i −0.217216 0.300550i
\(586\) 4.71804e6 1.29165e6i 0.567568 0.155382i
\(587\) −4.67787e6 4.67787e6i −0.560342 0.560342i 0.369063 0.929405i \(-0.379679\pi\)
−0.929405 + 0.369063i \(0.879679\pi\)
\(588\) 7.14476e6 + 1.83164e6i 0.852205 + 0.218472i
\(589\) 126350. + 126350.i 0.0150068 + 0.0150068i
\(590\) −1.12868e6 1.04450e7i −0.133488 1.23532i
\(591\) 7.93440e6 0.934427
\(592\) 7.83770e6 2.28337e6i 0.919146 0.267777i
\(593\) 1.63754e7i 1.91229i 0.292886 + 0.956147i \(0.405384\pi\)
−0.292886 + 0.956147i \(0.594616\pi\)
\(594\) 441.054 773.584i 5.12892e−5 8.99583e-5i
\(595\) −1.19094e6 + 7.39950e6i −0.137910 + 0.856860i
\(596\) 1.28225e7 + 3.28719e6i 1.47862 + 0.379061i
\(597\) 1.06298e6 + 1.06298e6i 0.122064 + 0.122064i
\(598\) 1.89335e6 + 6.91589e6i 0.216510 + 0.790851i
\(599\) 2.50748e6i 0.285542i 0.989756 + 0.142771i \(0.0456013\pi\)
−0.989756 + 0.142771i \(0.954399\pi\)
\(600\) 8.83294e6 4.62667e6i 1.00168 0.524675i
\(601\) 5.89802e6i 0.666070i −0.942914 0.333035i \(-0.891927\pi\)
0.942914 0.333035i \(-0.108073\pi\)
\(602\) 6.39058e6 1.74954e6i 0.718702 0.196758i
\(603\) 1.02934e6 + 1.02934e6i 0.115283 + 0.115283i
\(604\) 151024. 89390.9i 0.0168443 0.00997013i
\(605\) −1.43061e6 + 8.88863e6i −0.158903 + 0.987294i
\(606\) −5.03636e6 2.87145e6i −0.557103 0.317629i
\(607\) 9.20361e6i 1.01388i −0.861981 0.506940i \(-0.830777\pi\)
0.861981 0.506940i \(-0.169223\pi\)
\(608\) 46477.2 194386.i 0.00509896 0.0213258i
\(609\) 428282. 0.0467936
\(610\) 7.51817e6 812406.i 0.818065 0.0883993i
\(611\) −5.89435e6 5.89435e6i −0.638753 0.638753i
\(612\) 2.42243e6 + 4.09264e6i 0.261441 + 0.441698i
\(613\) 2.00764e6 + 2.00764e6i 0.215792 + 0.215792i 0.806722 0.590930i \(-0.201239\pi\)
−0.590930 + 0.806722i \(0.701239\pi\)
\(614\) −3.94908e6 1.44249e7i −0.422741 1.54416i
\(615\) −3.71432e6 5.13929e6i −0.395997 0.547918i
\(616\) 391.781 404.737i 4.15998e−5 4.29756e-5i
\(617\) 3.56553e6 0.377061 0.188530 0.982067i \(-0.439628\pi\)
0.188530 + 0.982067i \(0.439628\pi\)
\(618\) −4.02796e6 1.47130e7i −0.424243 1.54964i
\(619\) −3.87582e6 + 3.87582e6i −0.406572 + 0.406572i −0.880541 0.473970i \(-0.842821\pi\)
0.473970 + 0.880541i \(0.342821\pi\)
\(620\) −3.39200e6 8.62078e6i −0.354386 0.900674i
\(621\) 3.41505e6 + 3.41505e6i 0.355360 + 0.355360i
\(622\) 3.04689e6 + 1.73717e6i 0.315778 + 0.180039i
\(623\) 5.82075e6i 0.600840i
\(624\) 1.28322e7 + 7.04217e6i 1.31929 + 0.724011i
\(625\) 7.84276e6 + 5.81881e6i 0.803099 + 0.595846i
\(626\) 4.57764e6 8.02892e6i 0.466881 0.818882i
\(627\) −21.9097 + 21.9097i −2.22571e−6 + 2.22571e-6i
\(628\) −4.64171e6 1.18995e6i −0.469655 0.120401i
\(629\) −1.23736e7 + 1.23736e7i −1.24700 + 1.24700i
\(630\) −1.01876e6 820059.i −0.102263 0.0823177i
\(631\) 1.60322e7i 1.60295i 0.598028 + 0.801475i \(0.295951\pi\)
−0.598028 + 0.801475i \(0.704049\pi\)
\(632\) −1.23342e7 + 200629.i −1.22834 + 0.0199803i
\(633\) 6.37366e6 0.632237
\(634\) −2.42108e6 8.84353e6i −0.239214 0.873781i
\(635\) −1.85627e6 + 1.15334e7i −0.182687 + 1.13507i
\(636\) −373739. 631422.i −0.0366374 0.0618981i
\(637\) −7.49823e6 + 7.49823e6i −0.732167 + 0.732167i
\(638\) −56.7817 + 99.5919i −5.52277e−6 + 9.68662e-6i
\(639\) 2.22466e6 0.215532
\(640\) −6.23159e6 + 8.27897e6i −0.601380 + 0.798963i
\(641\) −8.94734e6 −0.860100 −0.430050 0.902805i \(-0.641504\pi\)
−0.430050 + 0.902805i \(0.641504\pi\)
\(642\) −1.02336e7 + 1.79491e7i −0.979916 + 1.71872i
\(643\) −8.59093e6 + 8.59093e6i −0.819431 + 0.819431i −0.986026 0.166594i \(-0.946723\pi\)
0.166594 + 0.986026i \(0.446723\pi\)
\(644\) 1.55615e6 + 2.62907e6i 0.147855 + 0.249797i
\(645\) 1.86556e7 + 3.00258e6i 1.76567 + 0.284181i
\(646\) 113125. + 413213.i 0.0106654 + 0.0389576i
\(647\) 7.07572e6 0.664523 0.332262 0.943187i \(-0.392188\pi\)
0.332262 + 0.943187i \(0.392188\pi\)
\(648\) 1.28358e7 208788.i 1.20084 0.0195329i
\(649\) 1692.56i 0.000157737i
\(650\) −744232. + 1.43163e7i −0.0690916 + 1.32907i
\(651\) −3.94266e6 + 3.94266e6i −0.364617 + 0.364617i
\(652\) −4.48580e6 1.14998e6i −0.413257 0.105943i
\(653\) 6.72785e6 6.72785e6i 0.617438 0.617438i −0.327436 0.944874i \(-0.606184\pi\)
0.944874 + 0.327436i \(0.106184\pi\)
\(654\) 2.97708e6 5.22163e6i 0.272174 0.477377i
\(655\) −2.28823e6 3.16609e6i −0.208399 0.288350i
\(656\) 5.77684e6 + 3.17026e6i 0.524120 + 0.287631i
\(657\) 4.74459e6i 0.428831i
\(658\) −3.08543e6 1.75914e6i −0.277812 0.158393i
\(659\) −2.36406e6 2.36406e6i −0.212053 0.212053i 0.593086 0.805139i \(-0.297909\pi\)
−0.805139 + 0.593086i \(0.797909\pi\)
\(660\) 1494.89 588.190i 0.000133582 5.25603e-5i
\(661\) −895022. + 895022.i −0.0796764 + 0.0796764i −0.745822 0.666145i \(-0.767943\pi\)
0.666145 + 0.745822i \(0.267943\pi\)
\(662\) −3.81218e6 1.39248e7i −0.338087 1.23494i
\(663\) −3.13761e7 −2.77214
\(664\) −9.21827e6 + 9.52312e6i −0.811389 + 0.838222i
\(665\) −69009.1 95484.0i −0.00605135 0.00837291i
\(666\) −806284. 2.94513e6i −0.0704373 0.257288i
\(667\) −439657. 439657.i −0.0382648 0.0382648i
\(668\) 4.22140e6 + 7.13196e6i 0.366029 + 0.618398i
\(669\) −1.75771e7 1.75771e7i −1.51839 1.51839i
\(670\) −730416. 6.75942e6i −0.0628613 0.581731i
\(671\) 1218.28 0.000104458
\(672\) 6.06568e6 + 1.45029e6i 0.518151 + 0.123889i
\(673\) 1.71791e7i 1.46206i 0.682348 + 0.731028i \(0.260959\pi\)
−0.682348 + 0.731028i \(0.739041\pi\)
\(674\) −5.59002e6 3.18711e6i −0.473984 0.270239i
\(675\) 4.34056e6 + 8.62516e6i 0.366679 + 0.728631i
\(676\) −7.88512e6 + 4.66720e6i −0.663654 + 0.392816i
\(677\) −6.08592e6 6.08592e6i −0.510334 0.510334i 0.404295 0.914629i \(-0.367517\pi\)
−0.914629 + 0.404295i \(0.867517\pi\)
\(678\) 6.00780e6 1.64475e6i 0.501928 0.137412i
\(679\) 439999.i 0.0366249i
\(680\) 3.17238e6 2.19839e7i 0.263095 1.82320i
\(681\) 6.54228e6i 0.540582i
\(682\) −394.100 1439.54i −3.24448e−5 0.000118512i
\(683\) −3.20127e6 3.20127e6i −0.262586 0.262586i 0.563518 0.826104i \(-0.309447\pi\)
−0.826104 + 0.563518i \(0.809447\pi\)
\(684\) −72416.1 18564.7i −0.00591827 0.00151721i
\(685\) −1.80478e7 2.90475e6i −1.46959 0.236528i
\(686\) −5.11409e6 + 8.96981e6i −0.414914 + 0.727735i
\(687\) 1.14347e7i 0.924340i
\(688\) −1.88525e7 + 5.49235e6i −1.51844 + 0.442371i
\(689\) 1.05489e6 0.0846562
\(690\) 936035. + 8.66226e6i 0.0748461 + 0.692641i
\(691\) −2.59936e6 2.59936e6i −0.207096 0.207096i 0.595936 0.803032i \(-0.296781\pi\)
−0.803032 + 0.595936i \(0.796781\pi\)
\(692\) −2.27286e7 5.82672e6i −1.80429 0.462550i
\(693\) −148.985 148.985i −1.17845e−5 1.17845e-5i
\(694\) 1.83985e7 5.03694e6i 1.45006 0.396980i
\(695\) 1.74272e7 1.25952e7i 1.36857 0.989106i
\(696\) −1.26911e6 + 20643.4i −0.0993058 + 0.00161531i
\(697\) −1.41250e7 −1.10130
\(698\) −1.47425e7 + 4.03605e6i −1.14534 + 0.313558i
\(699\) 1.33426e7 1.33426e7i 1.03288 1.03288i
\(700\) 1.30481e6 + 5.96701e6i 0.100648 + 0.460269i
\(701\) 7.04831e6 + 7.04831e6i 0.541739 + 0.541739i 0.924038 0.382300i \(-0.124868\pi\)
−0.382300 + 0.924038i \(0.624868\pi\)
\(702\) −7.02052e6 + 1.23136e7i −0.537683 + 0.943066i
\(703\) 275068.i 0.0209919i
\(704\) −1141.44 + 1218.22i −8.68001e−5 + 9.26391e-5i
\(705\) −5.93310e6 8.20929e6i −0.449582 0.622061i
\(706\) 9.93361e6 + 5.66359e6i 0.750059 + 0.427642i
\(707\) 2.51112e6 2.51112e6i 0.188938 0.188938i
\(708\) 1.61263e7 9.54516e6i 1.20907 0.715649i
\(709\) −130958. + 130958.i −0.00978399 + 0.00978399i −0.711982 0.702198i \(-0.752202\pi\)
0.702198 + 0.711982i \(0.252202\pi\)
\(710\) −8.09366e6 6.51505e6i −0.602558 0.485034i
\(711\) 4.61413e6i 0.342307i
\(712\) 280562. + 1.72483e7i 0.0207410 + 1.27511i
\(713\) 8.09475e6 0.596321
\(714\) −1.28940e7 + 3.52998e6i −0.946548 + 0.259135i
\(715\) −366.997 + 2280.22i −2.68471e−5 + 0.000166806i
\(716\) 314979. 1.22865e6i 0.0229614 0.0895667i
\(717\) 3.66998e6 3.66998e6i 0.266603 0.266603i
\(718\) −1.35481e7 7.72437e6i −0.980770 0.559180i
\(719\) −5.89084e6 −0.424967 −0.212483 0.977165i \(-0.568155\pi\)
−0.212483 + 0.977165i \(0.568155\pi\)
\(720\) 3.05836e6 + 2.38093e6i 0.219866 + 0.171165i
\(721\) 9.34423e6 0.669431
\(722\) 1.21623e7 + 6.93426e6i 0.868306 + 0.495059i
\(723\) 2.01189e7 2.01189e7i 1.43139 1.43139i
\(724\) −3.23940e6 830455.i −0.229677 0.0588802i
\(725\) −558807. 1.11041e6i −0.0394836 0.0784583i
\(726\) −1.54889e7 + 4.24038e6i −1.09064 + 0.298582i
\(727\) 2.60610e7 1.82875 0.914375 0.404868i \(-0.132683\pi\)
0.914375 + 0.404868i \(0.132683\pi\)
\(728\) −6.23622e6 + 6.44245e6i −0.436107 + 0.450529i
\(729\) 8.43312e6i 0.587719i
\(730\) −1.38949e7 + 1.72616e7i −0.965044 + 1.19887i
\(731\) 2.97629e7 2.97629e7i 2.06007 2.06007i
\(732\) 6.87046e6 + 1.16075e7i 0.473923 + 0.800682i
\(733\) 1.51777e7 1.51777e7i 1.04339 1.04339i 0.0443744 0.999015i \(-0.485871\pi\)
0.999015 0.0443744i \(-0.0141295\pi\)
\(734\) −1.33734e6 762476.i −0.0916223 0.0522379i
\(735\) −1.04431e7 + 7.54753e6i −0.713034 + 0.515331i
\(736\) −4.73797e6 7.71558e6i −0.322402 0.525018i
\(737\) 1095.33i 7.42806e-5i
\(738\) 1.22080e6 2.14121e6i 0.0825092 0.144716i
\(739\) −8.27399e6 8.27399e6i −0.557319 0.557319i 0.371224 0.928543i \(-0.378938\pi\)
−0.928543 + 0.371224i \(0.878938\pi\)
\(740\) −5.69162e6 + 1.30761e7i −0.382082 + 0.877808i
\(741\) 348751. 348751.i 0.0233329 0.0233329i
\(742\) 433507. 118681.i 0.0289059 0.00791352i
\(743\) −2.34890e7 −1.56096 −0.780481 0.625179i \(-0.785026\pi\)
−0.780481 + 0.625179i \(0.785026\pi\)
\(744\) 1.14931e7 1.18731e7i 0.761207 0.786380i
\(745\) −1.87419e7 + 1.35453e7i −1.23715 + 0.894128i
\(746\) 2.25878e7 6.18382e6i 1.48603 0.406827i
\(747\) 3.50549e6 + 3.50549e6i 0.229852 + 0.229852i
\(748\) 888.638 3466.36i 5.80725e−5 0.000226527i
\(749\) −8.94938e6 8.94938e6i −0.582893 0.582893i
\(750\) −3.65705e6 + 1.70309e7i −0.237398 + 1.10557i
\(751\) −1.52403e7 −0.986040 −0.493020 0.870018i \(-0.664107\pi\)
−0.493020 + 0.870018i \(0.664107\pi\)
\(752\) 9.22769e6 + 5.06405e6i 0.595043 + 0.326553i
\(753\) 2.58464e6i 0.166116i
\(754\) 903829. 1.58526e6i 0.0578972 0.101548i
\(755\) −48716.4 + 302684.i −0.00311034 + 0.0193251i
\(756\) −1.49974e6 + 5.85012e6i −0.0954359 + 0.372272i
\(757\) 7.12245e6 + 7.12245e6i 0.451741 + 0.451741i 0.895932 0.444191i \(-0.146509\pi\)
−0.444191 + 0.895932i \(0.646509\pi\)
\(758\) 727404. + 2.65700e6i 0.0459835 + 0.167965i
\(759\) 1403.67i 8.84426e-5i
\(760\) 209094. + 279617.i 0.0131313 + 0.0175602i