Properties

Label 43.6.c.a.6.1
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.1
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.1

$q$-expansion

\(f(q)\) \(=\) \(q-10.9797 q^{2} +(8.65096 - 14.9839i) q^{3} +88.5548 q^{4} +(-5.02316 + 8.70037i) q^{5} +(-94.9853 + 164.519i) q^{6} +(36.4175 + 63.0770i) q^{7} -620.957 q^{8} +(-28.1782 - 48.8060i) q^{9} +O(q^{10})\) \(q-10.9797 q^{2} +(8.65096 - 14.9839i) q^{3} +88.5548 q^{4} +(-5.02316 + 8.70037i) q^{5} +(-94.9853 + 164.519i) q^{6} +(36.4175 + 63.0770i) q^{7} -620.957 q^{8} +(-28.1782 - 48.8060i) q^{9} +(55.1531 - 95.5279i) q^{10} +500.662 q^{11} +(766.084 - 1326.90i) q^{12} +(376.594 + 652.280i) q^{13} +(-399.855 - 692.570i) q^{14} +(86.9104 + 150.533i) q^{15} +3984.20 q^{16} +(-829.023 - 1435.91i) q^{17} +(309.389 + 535.877i) q^{18} +(1131.01 - 1958.96i) q^{19} +(-444.825 + 770.460i) q^{20} +1260.19 q^{21} -5497.15 q^{22} +(20.0997 - 34.8138i) q^{23} +(-5371.88 + 9304.36i) q^{24} +(1512.04 + 2618.92i) q^{25} +(-4134.90 - 7161.86i) q^{26} +3229.29 q^{27} +(3224.95 + 5585.78i) q^{28} +(-638.786 - 1106.41i) q^{29} +(-954.254 - 1652.82i) q^{30} +(2826.10 - 4894.95i) q^{31} -23874.9 q^{32} +(4331.21 - 7501.88i) q^{33} +(9102.46 + 15765.9i) q^{34} -731.725 q^{35} +(-2495.31 - 4322.01i) q^{36} +(1526.84 - 2644.57i) q^{37} +(-12418.2 + 21508.9i) q^{38} +13031.6 q^{39} +(3119.17 - 5402.56i) q^{40} -2618.84 q^{41} -13836.5 q^{42} +(-12059.1 + 1259.13i) q^{43} +44336.1 q^{44} +566.174 q^{45} +(-220.690 + 382.246i) q^{46} +21065.7 q^{47} +(34467.2 - 59698.9i) q^{48} +(5751.03 - 9961.07i) q^{49} +(-16601.8 - 28755.1i) q^{50} -28687.4 q^{51} +(33349.2 + 57762.5i) q^{52} +(-17059.7 + 29548.2i) q^{53} -35456.8 q^{54} +(-2514.91 + 4355.95i) q^{55} +(-22613.7 - 39168.2i) q^{56} +(-19568.6 - 33893.8i) q^{57} +(7013.71 + 12148.1i) q^{58} +17442.8 q^{59} +(7696.33 + 13330.4i) q^{60} +(448.086 + 776.108i) q^{61} +(-31029.9 + 53745.3i) q^{62} +(2052.36 - 3554.79i) q^{63} +134646. q^{64} -7566.77 q^{65} +(-47555.6 + 82368.7i) q^{66} +(-20575.5 + 35637.9i) q^{67} +(-73414.0 - 127157. i) q^{68} +(-347.764 - 602.345i) q^{69} +8034.16 q^{70} +(10965.4 + 18992.6i) q^{71} +(17497.4 + 30306.4i) q^{72} +(-19444.9 - 33679.6i) q^{73} +(-16764.3 + 29036.7i) q^{74} +52322.2 q^{75} +(100156. - 173475. i) q^{76} +(18232.9 + 31580.3i) q^{77} -143084. q^{78} +(45994.2 + 79664.2i) q^{79} +(-20013.3 + 34664.0i) q^{80} +(34783.8 - 60247.3i) q^{81} +28754.2 q^{82} +(39178.2 - 67858.7i) q^{83} +111596. q^{84} +16657.3 q^{85} +(132406. - 13824.9i) q^{86} -22104.4 q^{87} -310890. q^{88} +(-28420.5 + 49225.7i) q^{89} -6216.44 q^{90} +(-27429.2 + 47508.8i) q^{91} +(1779.93 - 3082.93i) q^{92} +(-48897.0 - 84692.1i) q^{93} -231296. q^{94} +(11362.5 + 19680.4i) q^{95} +(-206541. + 357739. i) q^{96} -331.126 q^{97} +(-63144.8 + 109370. i) q^{98} +(-14107.7 - 24435.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.9797 −1.94096 −0.970482 0.241175i \(-0.922467\pi\)
−0.970482 + 0.241175i \(0.922467\pi\)
\(3\) 8.65096 14.9839i 0.554959 0.961218i −0.442947 0.896548i \(-0.646067\pi\)
0.997907 0.0646700i \(-0.0205995\pi\)
\(4\) 88.5548 2.76734
\(5\) −5.02316 + 8.70037i −0.0898571 + 0.155637i −0.907451 0.420159i \(-0.861974\pi\)
0.817594 + 0.575796i \(0.195308\pi\)
\(6\) −94.9853 + 164.519i −1.07716 + 1.86569i
\(7\) 36.4175 + 63.0770i 0.280909 + 0.486549i 0.971609 0.236593i \(-0.0760308\pi\)
−0.690700 + 0.723141i \(0.742697\pi\)
\(8\) −620.957 −3.43034
\(9\) −28.1782 48.8060i −0.115959 0.200848i
\(10\) 55.1531 95.5279i 0.174409 0.302086i
\(11\) 500.662 1.24757 0.623783 0.781598i \(-0.285595\pi\)
0.623783 + 0.781598i \(0.285595\pi\)
\(12\) 766.084 1326.90i 1.53576 2.66001i
\(13\) 376.594 + 652.280i 0.618037 + 1.07047i 0.989843 + 0.142162i \(0.0454053\pi\)
−0.371806 + 0.928310i \(0.621261\pi\)
\(14\) −399.855 692.570i −0.545234 0.944373i
\(15\) 86.9104 + 150.533i 0.0997340 + 0.172744i
\(16\) 3984.20 3.89082
\(17\) −829.023 1435.91i −0.695736 1.20505i −0.969932 0.243376i \(-0.921745\pi\)
0.274196 0.961674i \(-0.411588\pi\)
\(18\) 309.389 + 535.877i 0.225073 + 0.389838i
\(19\) 1131.01 1958.96i 0.718755 1.24492i −0.242738 0.970092i \(-0.578046\pi\)
0.961493 0.274829i \(-0.0886211\pi\)
\(20\) −444.825 + 770.460i −0.248665 + 0.430700i
\(21\) 1260.19 0.623572
\(22\) −5497.15 −2.42148
\(23\) 20.0997 34.8138i 0.00792265 0.0137224i −0.862037 0.506846i \(-0.830811\pi\)
0.869960 + 0.493123i \(0.164145\pi\)
\(24\) −5371.88 + 9304.36i −1.90370 + 3.29730i
\(25\) 1512.04 + 2618.92i 0.483851 + 0.838055i
\(26\) −4134.90 7161.86i −1.19959 2.07775i
\(27\) 3229.29 0.852507
\(28\) 3224.95 + 5585.78i 0.777370 + 1.34644i
\(29\) −638.786 1106.41i −0.141046 0.244299i 0.786845 0.617151i \(-0.211713\pi\)
−0.927891 + 0.372852i \(0.878380\pi\)
\(30\) −954.254 1652.82i −0.193580 0.335291i
\(31\) 2826.10 4894.95i 0.528182 0.914838i −0.471278 0.881985i \(-0.656207\pi\)
0.999460 0.0328537i \(-0.0104595\pi\)
\(32\) −23874.9 −4.12160
\(33\) 4331.21 7501.88i 0.692348 1.19918i
\(34\) 9102.46 + 15765.9i 1.35040 + 2.33896i
\(35\) −731.725 −0.100967
\(36\) −2495.31 4322.01i −0.320899 0.555813i
\(37\) 1526.84 2644.57i 0.183354 0.317578i −0.759667 0.650313i \(-0.774638\pi\)
0.943021 + 0.332734i \(0.107971\pi\)
\(38\) −12418.2 + 21508.9i −1.39508 + 2.41634i
\(39\) 13031.6 1.37194
\(40\) 3119.17 5402.56i 0.308240 0.533888i
\(41\) −2618.84 −0.243304 −0.121652 0.992573i \(-0.538819\pi\)
−0.121652 + 0.992573i \(0.538819\pi\)
\(42\) −13836.5 −1.21033
\(43\) −12059.1 + 1259.13i −0.994593 + 0.103848i
\(44\) 44336.1 3.45243
\(45\) 566.174 0.0416791
\(46\) −220.690 + 382.246i −0.0153776 + 0.0266347i
\(47\) 21065.7 1.39101 0.695506 0.718520i \(-0.255180\pi\)
0.695506 + 0.718520i \(0.255180\pi\)
\(48\) 34467.2 59698.9i 2.15925 3.73993i
\(49\) 5751.03 9961.07i 0.342180 0.592674i
\(50\) −16601.8 28755.1i −0.939138 1.62663i
\(51\) −28687.4 −1.54442
\(52\) 33349.2 + 57762.5i 1.71032 + 2.96236i
\(53\) −17059.7 + 29548.2i −0.834221 + 1.44491i 0.0604429 + 0.998172i \(0.480749\pi\)
−0.894663 + 0.446741i \(0.852585\pi\)
\(54\) −35456.8 −1.65469
\(55\) −2514.91 + 4355.95i −0.112103 + 0.194167i
\(56\) −22613.7 39168.2i −0.963612 1.66903i
\(57\) −19568.6 33893.8i −0.797760 1.38176i
\(58\) 7013.71 + 12148.1i 0.273765 + 0.474175i
\(59\) 17442.8 0.652358 0.326179 0.945308i \(-0.394239\pi\)
0.326179 + 0.945308i \(0.394239\pi\)
\(60\) 7696.33 + 13330.4i 0.275998 + 0.478042i
\(61\) 448.086 + 776.108i 0.0154183 + 0.0267053i 0.873632 0.486588i \(-0.161759\pi\)
−0.858213 + 0.513293i \(0.828425\pi\)
\(62\) −31029.9 + 53745.3i −1.02518 + 1.77567i
\(63\) 2052.36 3554.79i 0.0651481 0.112840i
\(64\) 134646. 4.10906
\(65\) −7566.77 −0.222140
\(66\) −47555.6 + 82368.7i −1.34382 + 2.32757i
\(67\) −20575.5 + 35637.9i −0.559970 + 0.969896i 0.437529 + 0.899204i \(0.355854\pi\)
−0.997498 + 0.0706912i \(0.977480\pi\)
\(68\) −73414.0 127157.i −1.92534 3.33478i
\(69\) −347.764 602.345i −0.00879350 0.0152308i
\(70\) 8034.16 0.195972
\(71\) 10965.4 + 18992.6i 0.258153 + 0.447135i 0.965747 0.259485i \(-0.0835527\pi\)
−0.707594 + 0.706619i \(0.750219\pi\)
\(72\) 17497.4 + 30306.4i 0.397780 + 0.688975i
\(73\) −19444.9 33679.6i −0.427070 0.739707i 0.569541 0.821963i \(-0.307121\pi\)
−0.996611 + 0.0822557i \(0.973788\pi\)
\(74\) −16764.3 + 29036.7i −0.355883 + 0.616408i
\(75\) 52322.2 1.07407
\(76\) 100156. 173475.i 1.98904 3.44512i
\(77\) 18232.9 + 31580.3i 0.350452 + 0.607001i
\(78\) −143084. −2.66289
\(79\) 45994.2 + 79664.2i 0.829154 + 1.43614i 0.898703 + 0.438558i \(0.144511\pi\)
−0.0695491 + 0.997579i \(0.522156\pi\)
\(80\) −20013.3 + 34664.0i −0.349618 + 0.605556i
\(81\) 34783.8 60247.3i 0.589066 1.02029i
\(82\) 28754.2 0.472244
\(83\) 39178.2 67858.7i 0.624237 1.08121i −0.364450 0.931223i \(-0.618743\pi\)
0.988688 0.149988i \(-0.0479235\pi\)
\(84\) 111596. 1.72563
\(85\) 16657.3 0.250067
\(86\) 132406. 13824.9i 1.93047 0.201566i
\(87\) −22104.4 −0.313099
\(88\) −310890. −4.27957
\(89\) −28420.5 + 49225.7i −0.380326 + 0.658744i −0.991109 0.133054i \(-0.957522\pi\)
0.610783 + 0.791798i \(0.290855\pi\)
\(90\) −6216.44 −0.0808976
\(91\) −27429.2 + 47508.8i −0.347224 + 0.601410i
\(92\) 1779.93 3082.93i 0.0219247 0.0379746i
\(93\) −48897.0 84692.1i −0.586239 1.01540i
\(94\) −231296. −2.69990
\(95\) 11362.5 + 19680.4i 0.129170 + 0.223730i
\(96\) −206541. + 357739.i −2.28732 + 3.96176i
\(97\) −331.126 −0.00357325 −0.00178663 0.999998i \(-0.500569\pi\)
−0.00178663 + 0.999998i \(0.500569\pi\)
\(98\) −63144.8 + 109370.i −0.664159 + 1.15036i
\(99\) −14107.7 24435.3i −0.144667 0.250571i
\(100\) 133898. + 231918.i 1.33898 + 2.31918i
\(101\) 37817.0 + 65501.0i 0.368879 + 0.638917i 0.989391 0.145280i \(-0.0464083\pi\)
−0.620511 + 0.784197i \(0.713075\pi\)
\(102\) 314980. 2.99766
\(103\) −47711.9 82639.4i −0.443132 0.767528i 0.554788 0.831992i \(-0.312800\pi\)
−0.997920 + 0.0644642i \(0.979466\pi\)
\(104\) −233849. 405038.i −2.12008 3.67208i
\(105\) −6330.12 + 10964.1i −0.0560324 + 0.0970509i
\(106\) 187311. 324432.i 1.61919 2.80452i
\(107\) −67921.9 −0.573522 −0.286761 0.958002i \(-0.592579\pi\)
−0.286761 + 0.958002i \(0.592579\pi\)
\(108\) 285969. 2.35918
\(109\) 30174.0 52263.0i 0.243258 0.421335i −0.718382 0.695648i \(-0.755117\pi\)
0.961640 + 0.274313i \(0.0884505\pi\)
\(110\) 27613.1 47827.2i 0.217587 0.376872i
\(111\) −26417.3 45756.1i −0.203508 0.352486i
\(112\) 145095. + 251312.i 1.09297 + 1.89307i
\(113\) −49345.3 −0.363538 −0.181769 0.983341i \(-0.558182\pi\)
−0.181769 + 0.983341i \(0.558182\pi\)
\(114\) 214858. + 372145.i 1.54842 + 2.68195i
\(115\) 201.928 + 349.750i 0.00142381 + 0.00246612i
\(116\) −56567.6 97977.9i −0.390322 0.676057i
\(117\) 21223.4 36760.1i 0.143335 0.248263i
\(118\) −191517. −1.26620
\(119\) 60382.0 104585.i 0.390877 0.677019i
\(120\) −53967.6 93474.7i −0.342121 0.592572i
\(121\) 89611.9 0.556419
\(122\) −4919.87 8521.47i −0.0299264 0.0518340i
\(123\) −22655.5 + 39240.4i −0.135024 + 0.233868i
\(124\) 250265. 433472.i 1.46166 2.53167i
\(125\) −61775.6 −0.353624
\(126\) −22534.4 + 39030.7i −0.126450 + 0.219018i
\(127\) −122729. −0.675206 −0.337603 0.941289i \(-0.609616\pi\)
−0.337603 + 0.941289i \(0.609616\pi\)
\(128\) −714379. −3.85393
\(129\) −85456.5 + 191586.i −0.452138 + 1.01365i
\(130\) 83081.2 0.431166
\(131\) −134688. −0.685727 −0.342863 0.939385i \(-0.611397\pi\)
−0.342863 + 0.939385i \(0.611397\pi\)
\(132\) 383549. 664327.i 1.91596 3.31854i
\(133\) 164754. 0.807619
\(134\) 225914. 391295.i 1.08688 1.88253i
\(135\) −16221.3 + 28096.1i −0.0766038 + 0.132682i
\(136\) 514788. + 891639.i 2.38661 + 4.13373i
\(137\) 282687. 1.28678 0.643391 0.765538i \(-0.277527\pi\)
0.643391 + 0.765538i \(0.277527\pi\)
\(138\) 3818.36 + 6613.59i 0.0170679 + 0.0295624i
\(139\) −208305. + 360795.i −0.914457 + 1.58389i −0.106764 + 0.994284i \(0.534049\pi\)
−0.807694 + 0.589602i \(0.799285\pi\)
\(140\) −64797.8 −0.279409
\(141\) 182238. 315646.i 0.771955 1.33707i
\(142\) −120397. 208534.i −0.501066 0.867872i
\(143\) 188546. + 326572.i 0.771042 + 1.33548i
\(144\) −112267. 194453.i −0.451178 0.781462i
\(145\) 12834.9 0.0506959
\(146\) 213500. + 369793.i 0.828927 + 1.43574i
\(147\) −99503.8 172346.i −0.379792 0.657820i
\(148\) 135209. 234189.i 0.507402 0.878846i
\(149\) 49843.7 86331.8i 0.183927 0.318570i −0.759288 0.650755i \(-0.774452\pi\)
0.943214 + 0.332185i \(0.107786\pi\)
\(150\) −574485. −2.08473
\(151\) −538696. −1.92265 −0.961327 0.275409i \(-0.911187\pi\)
−0.961327 + 0.275409i \(0.911187\pi\)
\(152\) −702307. + 1.21643e6i −2.46557 + 4.27050i
\(153\) −46720.7 + 80922.6i −0.161354 + 0.279474i
\(154\) −200193. 346744.i −0.680215 1.17817i
\(155\) 28392.0 + 49176.3i 0.0949218 + 0.164409i
\(156\) 1.15401e6 3.79663
\(157\) 24542.7 + 42509.2i 0.0794645 + 0.137637i 0.903019 0.429601i \(-0.141346\pi\)
−0.823555 + 0.567237i \(0.808012\pi\)
\(158\) −505004. 874693.i −1.60936 2.78749i
\(159\) 295165. + 511241.i 0.925917 + 1.60373i
\(160\) 119927. 207720.i 0.370355 0.641474i
\(161\) 2927.93 0.00890218
\(162\) −381917. + 661500.i −1.14336 + 1.98035i
\(163\) −267536. 463386.i −0.788703 1.36607i −0.926762 0.375649i \(-0.877420\pi\)
0.138059 0.990424i \(-0.455914\pi\)
\(164\) −231911. −0.673305
\(165\) 43512.7 + 75366.3i 0.124425 + 0.215510i
\(166\) −430167. + 745071.i −1.21162 + 2.09859i
\(167\) −2529.34 + 4380.94i −0.00701803 + 0.0121556i −0.869513 0.493910i \(-0.835567\pi\)
0.862495 + 0.506065i \(0.168901\pi\)
\(168\) −782522. −2.13906
\(169\) −97999.3 + 169740.i −0.263941 + 0.457159i
\(170\) −182893. −0.485371
\(171\) −127479. −0.333386
\(172\) −1.06790e6 + 111502.i −2.75238 + 0.287384i
\(173\) −313445. −0.796244 −0.398122 0.917332i \(-0.630338\pi\)
−0.398122 + 0.917332i \(0.630338\pi\)
\(174\) 242701. 0.607713
\(175\) −110129. + 190749.i −0.271836 + 0.470834i
\(176\) 1.99474e6 4.85405
\(177\) 150897. 261361.i 0.362032 0.627058i
\(178\) 312050. 540486.i 0.738199 1.27860i
\(179\) 108557. + 188026.i 0.253236 + 0.438617i 0.964415 0.264394i \(-0.0851719\pi\)
−0.711179 + 0.703011i \(0.751839\pi\)
\(180\) 50137.4 0.115340
\(181\) −192913. 334134.i −0.437687 0.758097i 0.559823 0.828612i \(-0.310869\pi\)
−0.997511 + 0.0705153i \(0.977536\pi\)
\(182\) 301166. 521635.i 0.673950 1.16732i
\(183\) 15505.5 0.0342261
\(184\) −12481.1 + 21617.9i −0.0271774 + 0.0470726i
\(185\) 15339.2 + 26568.2i 0.0329513 + 0.0570733i
\(186\) 536877. + 929898.i 1.13787 + 1.97085i
\(187\) −415061. 718906.i −0.867976 1.50338i
\(188\) 1.86547e6 3.84940
\(189\) 117603. + 203694.i 0.239477 + 0.414786i
\(190\) −124757. 216085.i −0.250715 0.434251i
\(191\) −146123. + 253092.i −0.289824 + 0.501991i −0.973768 0.227545i \(-0.926930\pi\)
0.683943 + 0.729535i \(0.260264\pi\)
\(192\) 1.16481e6 2.01752e6i 2.28036 3.94970i
\(193\) 159495. 0.308216 0.154108 0.988054i \(-0.450750\pi\)
0.154108 + 0.988054i \(0.450750\pi\)
\(194\) 3635.68 0.00693555
\(195\) −65459.8 + 113380.i −0.123279 + 0.213525i
\(196\) 509281. 882100.i 0.946929 1.64013i
\(197\) 335011. + 580255.i 0.615025 + 1.06525i 0.990380 + 0.138374i \(0.0441875\pi\)
−0.375355 + 0.926881i \(0.622479\pi\)
\(198\) 154899. + 268294.i 0.280793 + 0.486348i
\(199\) −209704. −0.375383 −0.187692 0.982228i \(-0.560101\pi\)
−0.187692 + 0.982228i \(0.560101\pi\)
\(200\) −938910. 1.62624e6i −1.65977 2.87481i
\(201\) 355996. + 616604.i 0.621520 + 1.07651i
\(202\) −415221. 719185.i −0.715981 1.24012i
\(203\) 46526.0 80585.5i 0.0792421 0.137251i
\(204\) −2.54041e6 −4.27393
\(205\) 13154.9 22784.9i 0.0218626 0.0378671i
\(206\) 523864. + 907360.i 0.860104 + 1.48974i
\(207\) −2265.49 −0.00367483
\(208\) 1.50043e6 + 2.59881e6i 2.40467 + 4.16502i
\(209\) 566252. 980778.i 0.896694 1.55312i
\(210\) 69503.1 120383.i 0.108757 0.188372i
\(211\) 12638.9 0.0195435 0.00977177 0.999952i \(-0.496890\pi\)
0.00977177 + 0.999952i \(0.496890\pi\)
\(212\) −1.51072e6 + 2.61664e6i −2.30857 + 3.99856i
\(213\) 379444. 0.573058
\(214\) 745765. 1.11319
\(215\) 49620.2 111244.i 0.0732086 0.164127i
\(216\) −2.00525e6 −2.92439
\(217\) 411679. 0.593484
\(218\) −331303. + 573834.i −0.472155 + 0.817796i
\(219\) −672869. −0.948026
\(220\) −222707. + 385740.i −0.310226 + 0.537327i
\(221\) 624410. 1.08151e6i 0.859982 1.48953i
\(222\) 290055. + 502391.i 0.395001 + 0.684162i
\(223\) −280171. −0.377278 −0.188639 0.982047i \(-0.560408\pi\)
−0.188639 + 0.982047i \(0.560408\pi\)
\(224\) −869464. 1.50596e6i −1.15780 2.00536i
\(225\) 85212.7 147593.i 0.112214 0.194361i
\(226\) 541798. 0.705613
\(227\) −259056. + 448698.i −0.333679 + 0.577950i −0.983230 0.182369i \(-0.941624\pi\)
0.649551 + 0.760318i \(0.274957\pi\)
\(228\) −1.73289e6 3.00146e6i −2.20767 3.82380i
\(229\) 109788. + 190158.i 0.138346 + 0.239622i 0.926871 0.375381i \(-0.122488\pi\)
−0.788525 + 0.615003i \(0.789155\pi\)
\(230\) −2217.12 3840.17i −0.00276357 0.00478664i
\(231\) 630928. 0.777947
\(232\) 396659. + 687033.i 0.483835 + 0.838027i
\(233\) −466639. 808242.i −0.563107 0.975330i −0.997223 0.0744733i \(-0.976272\pi\)
0.434116 0.900857i \(-0.357061\pi\)
\(234\) −233028. + 403616.i −0.278207 + 0.481869i
\(235\) −105816. + 183279.i −0.124992 + 0.216493i
\(236\) 1.54464e6 1.80529
\(237\) 1.59157e6 1.84059
\(238\) −662979. + 1.14831e6i −0.758678 + 1.31407i
\(239\) −373296. + 646567.i −0.422725 + 0.732181i −0.996205 0.0870383i \(-0.972260\pi\)
0.573480 + 0.819220i \(0.305593\pi\)
\(240\) 346268. + 599754.i 0.388047 + 0.672118i
\(241\) −563630. 976236.i −0.625103 1.08271i −0.988521 0.151084i \(-0.951724\pi\)
0.363418 0.931626i \(-0.381610\pi\)
\(242\) −983916. −1.07999
\(243\) −209467. 362807.i −0.227562 0.394149i
\(244\) 39680.2 + 68728.1i 0.0426677 + 0.0739026i
\(245\) 57776.7 + 100072.i 0.0614947 + 0.106512i
\(246\) 248751. 430850.i 0.262076 0.453929i
\(247\) 1.70372e6 1.77687
\(248\) −1.75489e6 + 3.03956e6i −1.81184 + 3.13820i
\(249\) −677859. 1.17409e6i −0.692853 1.20006i
\(250\) 678280. 0.686371
\(251\) −440706. 763326.i −0.441535 0.764761i 0.556269 0.831002i \(-0.312232\pi\)
−0.997804 + 0.0662417i \(0.978899\pi\)
\(252\) 181746. 314794.i 0.180287 0.312266i
\(253\) 10063.2 17429.9i 0.00988403 0.0171196i
\(254\) 1.34753e6 1.31055
\(255\) 144101. 249591.i 0.138777 0.240369i
\(256\) 3.53504e6 3.37127
\(257\) 585552. 0.553009 0.276505 0.961013i \(-0.410824\pi\)
0.276505 + 0.961013i \(0.410824\pi\)
\(258\) 938290. 2.10356e6i 0.877583 1.96746i
\(259\) 222416. 0.206023
\(260\) −670074. −0.614737
\(261\) −35999.6 + 62353.2i −0.0327112 + 0.0566575i
\(262\) 1.47884e6 1.33097
\(263\) 21088.5 36526.4i 0.0187999 0.0325625i −0.856472 0.516193i \(-0.827349\pi\)
0.875272 + 0.483630i \(0.160682\pi\)
\(264\) −2.68950e6 + 4.65835e6i −2.37499 + 4.11360i
\(265\) −171387. 296851.i −0.149921 0.259671i
\(266\) −1.80896e6 −1.56756
\(267\) 491729. + 851699.i 0.422131 + 0.731152i
\(268\) −1.82206e6 + 3.15591e6i −1.54962 + 2.68403i
\(269\) 124175. 0.104629 0.0523147 0.998631i \(-0.483340\pi\)
0.0523147 + 0.998631i \(0.483340\pi\)
\(270\) 178105. 308488.i 0.148685 0.257530i
\(271\) 23151.5 + 40099.6i 0.0191495 + 0.0331678i 0.875441 0.483324i \(-0.160571\pi\)
−0.856292 + 0.516492i \(0.827237\pi\)
\(272\) −3.30300e6 5.72096e6i −2.70698 4.68863i
\(273\) 474578. + 821994.i 0.385391 + 0.667517i
\(274\) −3.10383e6 −2.49760
\(275\) 757019. + 1.31120e6i 0.603636 + 1.04553i
\(276\) −30796.2 53340.5i −0.0243346 0.0421487i
\(277\) 558590. 967507.i 0.437415 0.757626i −0.560074 0.828443i \(-0.689227\pi\)
0.997489 + 0.0708170i \(0.0225606\pi\)
\(278\) 2.28714e6 3.96144e6i 1.77493 3.07427i
\(279\) −318537. −0.244991
\(280\) 454370. 0.346350
\(281\) −493131. + 854128.i −0.372560 + 0.645293i −0.989959 0.141358i \(-0.954853\pi\)
0.617399 + 0.786651i \(0.288187\pi\)
\(282\) −2.00093e6 + 3.46571e6i −1.49834 + 2.59520i
\(283\) −204863. 354834.i −0.152054 0.263365i 0.779928 0.625869i \(-0.215255\pi\)
−0.931982 + 0.362503i \(0.881922\pi\)
\(284\) 971037. + 1.68188e6i 0.714397 + 1.23737i
\(285\) 393185. 0.286737
\(286\) −2.07019e6 3.58568e6i −1.49656 2.59213i
\(287\) −95371.7 165189.i −0.0683463 0.118379i
\(288\) 672750. + 1.16524e6i 0.477939 + 0.827814i
\(289\) −664631. + 1.15117e6i −0.468097 + 0.810768i
\(290\) −140924. −0.0983988
\(291\) −2864.56 + 4961.56i −0.00198301 + 0.00343467i
\(292\) −1.72194e6 2.98249e6i −1.18185 2.04702i
\(293\) −224494. −0.152769 −0.0763844 0.997078i \(-0.524338\pi\)
−0.0763844 + 0.997078i \(0.524338\pi\)
\(294\) 1.09253e6 + 1.89231e6i 0.737163 + 1.27680i
\(295\) −87617.9 + 151759.i −0.0586189 + 0.101531i
\(296\) −948105. + 1.64217e6i −0.628966 + 1.08940i
\(297\) 1.61679e6 1.06356
\(298\) −547271. + 947901.i −0.356995 + 0.618333i
\(299\) 30277.7 0.0195860
\(300\) 4.63339e6 2.97232
\(301\) −518587. 714801.i −0.329917 0.454746i
\(302\) 5.91474e6 3.73180
\(303\) 1.30861e6 0.818852
\(304\) 4.50616e6 7.80489e6i 2.79655 4.84376i
\(305\) −9003.24 −0.00554178
\(306\) 512981. 888510.i 0.313183 0.542449i
\(307\) −936168. + 1.62149e6i −0.566902 + 0.981903i 0.429968 + 0.902844i \(0.358525\pi\)
−0.996870 + 0.0790590i \(0.974808\pi\)
\(308\) 1.61461e6 + 2.79659e6i 0.969820 + 1.67978i
\(309\) −1.65101e6 −0.983682
\(310\) −311736. 539943.i −0.184240 0.319113i
\(311\) −166912. + 289099.i −0.0978555 + 0.169491i −0.910797 0.412855i \(-0.864532\pi\)
0.812941 + 0.582346i \(0.197865\pi\)
\(312\) −8.09206e6 −4.70623
\(313\) −1.50992e6 + 2.61526e6i −0.871151 + 1.50888i −0.0103440 + 0.999946i \(0.503293\pi\)
−0.860807 + 0.508931i \(0.830041\pi\)
\(314\) −269473. 466740.i −0.154238 0.267148i
\(315\) 20618.7 + 35712.6i 0.0117080 + 0.0202789i
\(316\) 4.07301e6 + 7.05465e6i 2.29455 + 3.97427i
\(317\) −2.97812e6 −1.66454 −0.832269 0.554371i \(-0.812959\pi\)
−0.832269 + 0.554371i \(0.812959\pi\)
\(318\) −3.24084e6 5.61329e6i −1.79717 3.11279i
\(319\) −319816. 553938.i −0.175964 0.304779i
\(320\) −676347. + 1.17147e6i −0.369228 + 0.639522i
\(321\) −587589. + 1.01773e6i −0.318282 + 0.551280i
\(322\) −32147.9 −0.0172788
\(323\) −3.75052e6 −2.00025
\(324\) 3.08027e6 5.33519e6i 1.63015 2.82349i
\(325\) −1.13885e6 + 1.97254e6i −0.598077 + 1.03590i
\(326\) 2.93748e6 + 5.08786e6i 1.53084 + 2.65150i
\(327\) −522069. 904250.i −0.269997 0.467648i
\(328\) 1.62619e6 0.834615
\(329\) 767161. + 1.32876e6i 0.390748 + 0.676795i
\(330\) −477759. 827503.i −0.241504 0.418297i
\(331\) −906110. 1.56943e6i −0.454581 0.787357i 0.544083 0.839031i \(-0.316877\pi\)
−0.998664 + 0.0516745i \(0.983544\pi\)
\(332\) 3.46942e6 6.00922e6i 1.72748 2.99208i
\(333\) −172094. −0.0850465
\(334\) 27771.5 48101.6i 0.0136217 0.0235936i
\(335\) −206709. 358030.i −0.100634 0.174304i
\(336\) 5.02084e6 2.42621
\(337\) −486844. 843239.i −0.233515 0.404460i 0.725325 0.688407i \(-0.241690\pi\)
−0.958840 + 0.283946i \(0.908356\pi\)
\(338\) 1.07601e6 1.86370e6i 0.512299 0.887328i
\(339\) −426884. + 739384.i −0.201749 + 0.349439i
\(340\) 1.47508e6 0.692020
\(341\) 1.41492e6 2.45072e6i 0.658942 1.14132i
\(342\) 1.39968e6 0.647090
\(343\) 2.06189e6 0.946304
\(344\) 7.48822e6 781867.i 3.41179 0.356235i
\(345\) 6987.50 0.00316063
\(346\) 3.44155e6 1.54548
\(347\) −1.60766e6 + 2.78454e6i −0.716753 + 1.24145i 0.245527 + 0.969390i \(0.421039\pi\)
−0.962280 + 0.272062i \(0.912294\pi\)
\(348\) −1.95745e6 −0.866450
\(349\) 746288. 1.29261e6i 0.327977 0.568072i −0.654134 0.756379i \(-0.726967\pi\)
0.982110 + 0.188307i \(0.0603000\pi\)
\(350\) 1.20919e6 2.09438e6i 0.527624 0.913872i
\(351\) 1.21613e6 + 2.10640e6i 0.526881 + 0.912586i
\(352\) −1.19533e7 −5.14197
\(353\) −1.81167e6 3.13790e6i −0.773822 1.34030i −0.935454 0.353449i \(-0.885009\pi\)
0.161631 0.986851i \(-0.448324\pi\)
\(354\) −1.65681e6 + 2.86968e6i −0.702691 + 1.21710i
\(355\) −220323. −0.0927876
\(356\) −2.51677e6 + 4.35917e6i −1.05249 + 1.82297i
\(357\) −1.04472e6 1.80952e6i −0.433841 0.751435i
\(358\) −1.19193e6 2.06448e6i −0.491521 0.851339i
\(359\) 551097. + 954528.i 0.225679 + 0.390888i 0.956523 0.291657i \(-0.0942065\pi\)
−0.730844 + 0.682545i \(0.760873\pi\)
\(360\) −351570. −0.142973
\(361\) −1.32030e6 2.28683e6i −0.533218 0.923560i
\(362\) 2.11813e6 + 3.66871e6i 0.849535 + 1.47144i
\(363\) 775229. 1.34274e6i 0.308790 0.534840i
\(364\) −2.42899e6 + 4.20714e6i −0.960888 + 1.66431i
\(365\) 390700. 0.153501
\(366\) −170246. −0.0664317
\(367\) −1.06747e6 + 1.84891e6i −0.413704 + 0.716557i −0.995291 0.0969272i \(-0.969099\pi\)
0.581587 + 0.813484i \(0.302432\pi\)
\(368\) 80081.4 138705.i 0.0308256 0.0533916i
\(369\) 73794.1 + 127815.i 0.0282134 + 0.0488671i
\(370\) −168420. 291712.i −0.0639572 0.110777i
\(371\) −2.48508e6 −0.937360
\(372\) −4.33006e6 7.49989e6i −1.62232 2.80994i
\(373\) 2.18818e6 + 3.79004e6i 0.814350 + 1.41050i 0.909794 + 0.415061i \(0.136240\pi\)
−0.0954433 + 0.995435i \(0.530427\pi\)
\(374\) 4.55726e6 + 7.89341e6i 1.68471 + 2.91800i
\(375\) −534418. + 925639.i −0.196247 + 0.339910i
\(376\) −1.30809e7 −4.77164
\(377\) 481126. 833334.i 0.174343 0.301971i
\(378\) −1.29125e6 2.23651e6i −0.464816 0.805085i
\(379\) 147627. 0.0527918 0.0263959 0.999652i \(-0.491597\pi\)
0.0263959 + 0.999652i \(0.491597\pi\)
\(380\) 1.00620e6 + 1.74279e6i 0.357458 + 0.619136i
\(381\) −1.06172e6 + 1.83895e6i −0.374712 + 0.649020i
\(382\) 1.60439e6 2.77889e6i 0.562539 0.974345i
\(383\) 4.70208e6 1.63792 0.818961 0.573850i \(-0.194551\pi\)
0.818961 + 0.573850i \(0.194551\pi\)
\(384\) −6.18006e6 + 1.07042e7i −2.13877 + 3.70446i
\(385\) −366347. −0.125962
\(386\) −1.75122e6 −0.598236
\(387\) 401258. + 553079.i 0.136190 + 0.187720i
\(388\) −29322.8 −0.00988840
\(389\) 1.57266e6 0.526941 0.263471 0.964667i \(-0.415133\pi\)
0.263471 + 0.964667i \(0.415133\pi\)
\(390\) 718732. 1.24488e6i 0.239279 0.414444i
\(391\) −66652.6 −0.0220483
\(392\) −3.57114e6 + 6.18540e6i −1.17379 + 2.03307i
\(393\) −1.16518e6 + 2.01815e6i −0.380550 + 0.659133i
\(394\) −3.67833e6 6.37105e6i −1.19374 2.06762i
\(395\) −924145. −0.298021
\(396\) −1.24931e6 2.16387e6i −0.400343 0.693414i
\(397\) 2.57403e6 4.45835e6i 0.819666 1.41970i −0.0862623 0.996272i \(-0.527492\pi\)
0.905928 0.423431i \(-0.139174\pi\)
\(398\) 2.30250e6 0.728605
\(399\) 1.42528e6 2.46866e6i 0.448196 0.776298i
\(400\) 6.02425e6 + 1.04343e7i 1.88258 + 3.26072i
\(401\) 567285. + 982566.i 0.176173 + 0.305141i 0.940567 0.339609i \(-0.110295\pi\)
−0.764393 + 0.644750i \(0.776961\pi\)
\(402\) −3.90875e6 6.77015e6i −1.20635 2.08946i
\(403\) 4.25717e6 1.30575
\(404\) 3.34888e6 + 5.80043e6i 1.02081 + 1.76810i
\(405\) 349449. + 605264.i 0.105864 + 0.183361i
\(406\) −510844. + 884808.i −0.153806 + 0.266400i
\(407\) 764433. 1.32404e6i 0.228746 0.396200i
\(408\) 1.78136e7 5.29788
\(409\) −2.05089e6 −0.606224 −0.303112 0.952955i \(-0.598026\pi\)
−0.303112 + 0.952955i \(0.598026\pi\)
\(410\) −144437. + 250172.i −0.0424345 + 0.0734987i
\(411\) 2.44552e6 4.23576e6i 0.714111 1.23688i
\(412\) −4.22512e6 7.31812e6i −1.22630 2.12401i
\(413\) 635223. + 1.10024e6i 0.183253 + 0.317404i
\(414\) 24874.5 0.00713270
\(415\) 393597. + 681731.i 0.112184 + 0.194309i
\(416\) −8.99113e6 1.55731e7i −2.54731 4.41206i
\(417\) 3.60408e6 + 6.24245e6i 1.01497 + 1.75798i
\(418\) −6.21731e6 + 1.07687e7i −1.74045 + 3.01455i
\(419\) 2.20325e6 0.613096 0.306548 0.951855i \(-0.400826\pi\)
0.306548 + 0.951855i \(0.400826\pi\)
\(420\) −560563. + 970923.i −0.155060 + 0.268573i
\(421\) −1.61280e6 2.79345e6i −0.443481 0.768131i 0.554464 0.832207i \(-0.312923\pi\)
−0.997945 + 0.0640765i \(0.979590\pi\)
\(422\) −138772. −0.0379333
\(423\) −593592. 1.02813e6i −0.161301 0.279382i
\(424\) 1.05933e7 1.83482e7i 2.86166 4.95654i
\(425\) 2.50703e6 4.34230e6i 0.673266 1.16613i
\(426\) −4.16620e6 −1.11228
\(427\) −32636.4 + 56527.9i −0.00866228 + 0.0150035i
\(428\) −6.01481e6 −1.58713
\(429\) 6.52443e6 1.71159
\(430\) −544817. + 1.22143e6i −0.142095 + 0.318565i
\(431\) −2.60589e6 −0.675713 −0.337857 0.941198i \(-0.609702\pi\)
−0.337857 + 0.941198i \(0.609702\pi\)
\(432\) 1.28662e7 3.31695
\(433\) −493922. + 855498.i −0.126601 + 0.219280i −0.922358 0.386337i \(-0.873740\pi\)
0.795756 + 0.605617i \(0.207074\pi\)
\(434\) −4.52013e6 −1.15193
\(435\) 111034. 192317.i 0.0281341 0.0487298i
\(436\) 2.67206e6 4.62814e6i 0.673177 1.16598i
\(437\) −45465.8 78749.2i −0.0113889 0.0197261i
\(438\) 7.38793e6 1.84008
\(439\) −1.34500e6 2.32962e6i −0.333091 0.576930i 0.650026 0.759912i \(-0.274758\pi\)
−0.983116 + 0.182982i \(0.941425\pi\)
\(440\) 1.56165e6 2.70486e6i 0.384550 0.666060i
\(441\) −648213. −0.158716
\(442\) −6.85586e6 + 1.18747e7i −1.66919 + 2.89113i
\(443\) −3.25280e6 5.63402e6i −0.787496 1.36398i −0.927497 0.373831i \(-0.878044\pi\)
0.140001 0.990151i \(-0.455289\pi\)
\(444\) −2.33938e6 4.05193e6i −0.563175 0.975448i
\(445\) −285521. 494537.i −0.0683500 0.118386i
\(446\) 3.07621e6 0.732282
\(447\) −862391. 1.49371e6i −0.204144 0.353587i
\(448\) 4.90346e6 + 8.49305e6i 1.15427 + 1.99926i
\(449\) −3.36046e6 + 5.82048e6i −0.786651 + 1.36252i 0.141356 + 0.989959i \(0.454854\pi\)
−0.928008 + 0.372561i \(0.878480\pi\)
\(450\) −935614. + 1.62053e6i −0.217804 + 0.377247i
\(451\) −1.31116e6 −0.303538
\(452\) −4.36976e6 −1.00603
\(453\) −4.66024e6 + 8.07176e6i −1.06699 + 1.84809i
\(454\) 2.84437e6 4.92659e6i 0.647659 1.12178i
\(455\) −275563. 477289.i −0.0624012 0.108082i
\(456\) 1.21513e7 + 2.10466e7i 2.73658 + 4.73990i
\(457\) 4.09315e6 0.916785 0.458393 0.888750i \(-0.348425\pi\)
0.458393 + 0.888750i \(0.348425\pi\)
\(458\) −1.20544e6 2.08789e6i −0.268524 0.465097i
\(459\) −2.67716e6 4.63698e6i −0.593120 1.02731i
\(460\) 17881.7 + 30972.1i 0.00394017 + 0.00682458i
\(461\) 1.23734e6 2.14314e6i 0.271168 0.469676i −0.697993 0.716104i \(-0.745924\pi\)
0.969161 + 0.246428i \(0.0792568\pi\)
\(462\) −6.92743e6 −1.50997
\(463\) −190639. + 330196.i −0.0413294 + 0.0715846i −0.885950 0.463780i \(-0.846493\pi\)
0.844621 + 0.535365i \(0.179826\pi\)
\(464\) −2.54505e6 4.40816e6i −0.548784 0.950522i
\(465\) 982470. 0.210711
\(466\) 5.12358e6 + 8.87429e6i 1.09297 + 1.89308i
\(467\) −84316.9 + 146041.i −0.0178905 + 0.0309873i −0.874832 0.484426i \(-0.839028\pi\)
0.856942 + 0.515414i \(0.172362\pi\)
\(468\) 1.87944e6 3.25528e6i 0.396655 0.687027i
\(469\) −2.99724e6 −0.629202
\(470\) 1.16184e6 2.01236e6i 0.242605 0.420205i
\(471\) 849272. 0.176398
\(472\) −1.08312e7 −2.23781
\(473\) −6.03756e6 + 630400.i −1.24082 + 0.129558i
\(474\) −1.74751e7 −3.57251
\(475\) 6.84049e6 1.39108
\(476\) 5.34712e6 9.26147e6i 1.08169 1.87354i
\(477\) 1.92284e6 0.386943
\(478\) 4.09869e6 7.09914e6i 0.820494 1.42114i
\(479\) 2.90428e6 5.03036e6i 0.578362 1.00175i −0.417305 0.908767i \(-0.637025\pi\)
0.995667 0.0929866i \(-0.0296414\pi\)
\(480\) −2.07497e6 3.59396e6i −0.411064 0.711984i
\(481\) 2.30000e6 0.453278
\(482\) 6.18851e6 + 1.07188e7i 1.21330 + 2.10150i
\(483\) 25329.4 43871.8i 0.00494035 0.00855693i
\(484\) 7.93556e6 1.53980
\(485\) 1663.30 2880.92i 0.000321082 0.000556130i
\(486\) 2.29989e6 + 3.98353e6i 0.441689 + 0.765028i
\(487\) 4.77091e6 + 8.26346e6i 0.911546 + 1.57884i 0.811880 + 0.583824i \(0.198444\pi\)
0.0996661 + 0.995021i \(0.468223\pi\)
\(488\) −278242. 481930.i −0.0528900 0.0916082i
\(489\) −9.25778e6 −1.75079
\(490\) −634373. 1.09877e6i −0.119359 0.206736i
\(491\) −704101. 1.21954e6i −0.131805 0.228293i 0.792567 0.609784i \(-0.208744\pi\)
−0.924372 + 0.381491i \(0.875411\pi\)
\(492\) −2.00625e6 + 3.47493e6i −0.373657 + 0.647192i
\(493\) −1.05914e6 + 1.83448e6i −0.196261 + 0.339935i
\(494\) −1.87064e7 −3.44884
\(495\) 283462. 0.0519974
\(496\) 1.12598e7 1.95025e7i 2.05506 3.55947i
\(497\) −798664. + 1.38333e6i −0.145035 + 0.251208i
\(498\) 7.44272e6 + 1.28912e7i 1.34480 + 2.32926i
\(499\) −2.03319e6 3.52159e6i −0.365533 0.633122i 0.623328 0.781960i \(-0.285780\pi\)
−0.988862 + 0.148838i \(0.952447\pi\)
\(500\) −5.47052e6 −0.978597
\(501\) 43762.4 + 75798.7i 0.00778945 + 0.0134917i
\(502\) 4.83884e6 + 8.38112e6i 0.857003 + 1.48437i
\(503\) −351293. 608457.i −0.0619083 0.107228i 0.833410 0.552655i \(-0.186385\pi\)
−0.895318 + 0.445427i \(0.853052\pi\)
\(504\) −1.27443e6 + 2.20737e6i −0.223480 + 0.387079i
\(505\) −759845. −0.132586
\(506\) −110491. + 191376.i −0.0191845 + 0.0332286i
\(507\) 1.69558e6 + 2.93682e6i 0.292953 + 0.507409i
\(508\) −1.08682e7 −1.86852
\(509\) −4.42953e6 7.67218e6i −0.757815 1.31257i −0.943962 0.330053i \(-0.892933\pi\)
0.186147 0.982522i \(-0.440400\pi\)
\(510\) −1.58220e6 + 2.74045e6i −0.269361 + 0.466547i
\(511\) 1.41627e6 2.45306e6i 0.239936 0.415581i
\(512\) −1.59537e7 −2.68959
\(513\) 3.65235e6 6.32606e6i 0.612744 1.06130i
\(514\) −6.42921e6 −1.07337
\(515\) 958658. 0.159274
\(516\) −7.56758e6 + 1.69658e7i −1.25122 + 2.80512i
\(517\) 1.05468e7 1.73538
\(518\) −2.44207e6 −0.399883
\(519\) −2.71160e6 + 4.69663e6i −0.441883 + 0.765364i
\(520\) 4.69864e6 0.762016
\(521\) −3.79348e6 + 6.57049e6i −0.612270 + 1.06048i 0.378587 + 0.925566i \(0.376410\pi\)
−0.990857 + 0.134917i \(0.956923\pi\)
\(522\) 395267. 684622.i 0.0634913 0.109970i
\(523\) 5.16090e6 + 8.93895e6i 0.825033 + 1.42900i 0.901894 + 0.431958i \(0.142177\pi\)
−0.0768605 + 0.997042i \(0.524490\pi\)
\(524\) −1.19273e7 −1.89764
\(525\) 1.90545e6 + 3.30033e6i 0.301716 + 0.522588i
\(526\) −231547. + 401050.i −0.0364900 + 0.0632026i
\(527\) −9.37162e6 −1.46990
\(528\) 1.72564e7 2.98890e7i 2.69380 4.66580i
\(529\) 3.21736e6 + 5.57264e6i 0.499874 + 0.865808i
\(530\) 1.88179e6 + 3.25935e6i 0.290992 + 0.504012i
\(531\) −491505. 851312.i −0.0756470 0.131025i
\(532\) 1.45897e7 2.23495
\(533\) −986239. 1.70822e6i −0.150371 0.260450i
\(534\) −5.39905e6 9.35144e6i −0.819341 1.41914i
\(535\) 341183. 590946.i 0.0515350 0.0892613i
\(536\) 1.27765e7 2.21296e7i 1.92088 3.32707i
\(537\) 3.75648e6 0.562142
\(538\) −1.36341e6 −0.203082
\(539\) 2.87932e6 4.98713e6i 0.426892 0.739399i
\(540\) −1.43647e6 + 2.48804e6i −0.211989 + 0.367175i
\(541\) −1.59418e6 2.76121e6i −0.234178 0.405607i 0.724856 0.688901i \(-0.241906\pi\)
−0.959033 + 0.283293i \(0.908573\pi\)
\(542\) −254198. 440284.i −0.0371684 0.0643776i
\(543\) −6.67551e6 −0.971594
\(544\) 1.97928e7 + 3.42822e7i 2.86755 + 4.96674i
\(545\) 303138. + 525051.i 0.0437169 + 0.0757199i
\(546\) −5.21075e6 9.02529e6i −0.748029 1.29563i
\(547\) 4.90549e6 8.49655e6i 0.700993 1.21416i −0.267125 0.963662i \(-0.586074\pi\)
0.968118 0.250494i \(-0.0805929\pi\)
\(548\) 2.50333e7 3.56096
\(549\) 25252.5 43738.6i 0.00357580 0.00619346i
\(550\) −8.31188e6 1.43966e7i −1.17164 2.02933i
\(551\) −2.88988e6 −0.405510
\(552\) 215947. + 374030.i 0.0301647 + 0.0522468i
\(553\) −3.34999e6 + 5.80235e6i −0.465833 + 0.806847i
\(554\) −6.13318e6 + 1.06230e7i −0.849007 + 1.47052i
\(555\) 530794. 0.0731465
\(556\) −1.84464e7 + 3.19502e7i −2.53061 + 4.38315i
\(557\) −4.05122e6 −0.553283 −0.276642 0.960973i \(-0.589222\pi\)
−0.276642 + 0.960973i \(0.589222\pi\)
\(558\) 3.49746e6 0.475518
\(559\) −5.36271e6 7.39176e6i −0.725863 1.00050i
\(560\) −2.91534e6 −0.392843
\(561\) −1.43627e7 −1.92677
\(562\) 5.41445e6 9.37810e6i 0.723125 1.25249i
\(563\) 966125. 0.128458 0.0642292 0.997935i \(-0.479541\pi\)
0.0642292 + 0.997935i \(0.479541\pi\)
\(564\) 1.61381e7 2.79520e7i 2.13626 3.70011i
\(565\) 247869. 429322.i 0.0326664 0.0565799i
\(566\) 2.24935e6 + 3.89598e6i 0.295131 + 0.511183i
\(567\) 5.06696e6 0.661896
\(568\) −6.80903e6 1.17936e7i −0.885553 1.53382i
\(569\) −1.79077e6 + 3.10170e6i −0.231877 + 0.401624i −0.958361 0.285561i \(-0.907820\pi\)
0.726483 + 0.687184i \(0.241154\pi\)
\(570\) −4.31707e6 −0.556547
\(571\) 1.70131e6 2.94676e6i 0.218371 0.378229i −0.735939 0.677047i \(-0.763259\pi\)
0.954310 + 0.298819i \(0.0965925\pi\)
\(572\) 1.66967e7 + 2.89195e7i 2.13373 + 3.69574i
\(573\) 2.52821e6 + 4.37898e6i 0.321681 + 0.557169i
\(574\) 1.04716e6 + 1.81373e6i 0.132658 + 0.229770i
\(575\) 121566. 0.0153335
\(576\) −3.79406e6 6.57151e6i −0.476484 0.825295i
\(577\) 1.39626e6 + 2.41840e6i 0.174594 + 0.302405i 0.940021 0.341118i \(-0.110806\pi\)
−0.765427 + 0.643523i \(0.777472\pi\)
\(578\) 7.29748e6 1.26396e7i 0.908559 1.57367i
\(579\) 1.37979e6 2.38986e6i 0.171047 0.296263i
\(580\) 1.13659e6 0.140293
\(581\) 5.70710e6 0.701415
\(582\) 31452.1 54476.6i 0.00384895 0.00666657i
\(583\) −8.54113e6 + 1.47937e7i −1.04074 + 1.80262i
\(584\) 1.20745e7 + 2.09136e7i 1.46499 + 2.53745i
\(585\) 213218. + 369304.i 0.0257593 + 0.0446163i
\(586\) 2.46488e6 0.296519
\(587\) 4.37350e6 + 7.57513e6i 0.523883 + 0.907392i 0.999613 + 0.0278007i \(0.00885039\pi\)
−0.475731 + 0.879591i \(0.657816\pi\)
\(588\) −8.81154e6 1.52620e7i −1.05101 1.82041i
\(589\) −6.39268e6 1.10724e7i −0.759267 1.31509i
\(590\) 962023. 1.66627e6i 0.113777 0.197068i
\(591\) 1.15926e7 1.36526
\(592\) 6.08325e6 1.05365e7i 0.713397 1.23564i
\(593\) −3.70637e6 6.41962e6i −0.432824 0.749674i 0.564291 0.825576i \(-0.309150\pi\)
−0.997115 + 0.0759023i \(0.975816\pi\)
\(594\) −1.77519e7 −2.06433
\(595\) 606617. + 1.05069e6i 0.0702461 + 0.121670i
\(596\) 4.41390e6 7.64510e6i 0.508987 0.881591i
\(597\) −1.81414e6 + 3.14219e6i −0.208322 + 0.360825i
\(598\) −332442. −0.0380157
\(599\) 5.05365e6 8.75318e6i 0.575491 0.996779i −0.420497 0.907294i \(-0.638144\pi\)
0.995988 0.0894854i \(-0.0285223\pi\)
\(600\) −3.24899e7 −3.68443
\(601\) −4.17965e6 −0.472013 −0.236006 0.971752i \(-0.575839\pi\)
−0.236006 + 0.971752i \(0.575839\pi\)
\(602\) 5.69395e6 + 7.84833e6i 0.640357 + 0.882645i
\(603\) 2.31912e6 0.259735
\(604\) −4.77041e7 −5.32063
\(605\) −450135. + 779657.i −0.0499982 + 0.0865994i
\(606\) −1.43683e7 −1.58936
\(607\) 2.91717e6 5.05268e6i 0.321358 0.556609i −0.659410 0.751783i \(-0.729194\pi\)
0.980769 + 0.195174i \(0.0625272\pi\)
\(608\) −2.70026e7 + 4.67699e7i −2.96242 + 5.13107i
\(609\) −804990. 1.39428e6i −0.0879523 0.152338i
\(610\) 98853.3 0.0107564
\(611\) 7.93321e6 + 1.37407e7i 0.859698 + 1.48904i
\(612\) −4.13734e6 + 7.16609e6i −0.446522 + 0.773399i
\(613\) 1.63198e7 1.75414 0.877070 0.480362i \(-0.159495\pi\)
0.877070 + 0.480362i \(0.159495\pi\)
\(614\) 1.02789e7 1.78036e7i 1.10034 1.90584i
\(615\) −227604. 394222.i −0.0242657 0.0420294i
\(616\) −1.13219e7 1.96100e7i −1.20217 2.08222i
\(617\) −2.65640e6 4.60101e6i −0.280918 0.486565i 0.690693 0.723148i \(-0.257306\pi\)
−0.971611 + 0.236583i \(0.923972\pi\)
\(618\) 1.81277e7 1.90929
\(619\) 7.23199e6 + 1.25262e7i 0.758632 + 1.31399i 0.943548 + 0.331234i \(0.107465\pi\)
−0.184917 + 0.982754i \(0.559202\pi\)
\(620\) 2.51424e6 + 4.35480e6i 0.262681 + 0.454976i
\(621\) 64907.9 112424.i 0.00675412 0.0116985i
\(622\) 1.83265e6 3.17424e6i 0.189934 0.328975i
\(623\) −4.14001e6 −0.427348
\(624\) 5.19205e7 5.33798
\(625\) −4.41480e6 + 7.64666e6i −0.452076 + 0.783018i
\(626\) 1.65786e7 2.87149e7i 1.69087 2.92868i
\(627\) −9.79725e6 1.69693e7i −0.995257 1.72384i
\(628\) 2.17337e6 + 3.76440e6i 0.219905 + 0.380887i
\(629\) −5.06315e6 −0.510264
\(630\) −226388. 392115.i −0.0227249 0.0393606i
\(631\) 3.93843e6 + 6.82156e6i 0.393776 + 0.682040i 0.992944 0.118583i \(-0.0378352\pi\)
−0.599168 + 0.800623i \(0.704502\pi\)
\(632\) −2.85604e7 4.94681e7i −2.84428 4.92643i
\(633\) 109339. 189380.i 0.0108459 0.0187856i
\(634\) 3.26990e7 3.23081
\(635\) 616486. 1.06778e6i 0.0606721 0.105087i
\(636\) 2.61383e7 + 4.52728e7i 2.56232 + 4.43808i
\(637\) 8.66320e6 0.845921
\(638\) 3.51150e6 + 6.08210e6i 0.341540 + 0.591564i
\(639\) 617968. 1.07035e6i 0.0598706 0.103699i
\(640\) 3.58844e6 6.21536e6i 0.346303 0.599814i
\(641\) −1.62760e7 −1.56460 −0.782301 0.622901i \(-0.785954\pi\)
−0.782301 + 0.622901i \(0.785954\pi\)
\(642\) 6.45158e6 1.11745e7i 0.617773 1.07001i
\(643\) 1.26517e7 1.20676 0.603382 0.797452i \(-0.293819\pi\)
0.603382 + 0.797452i \(0.293819\pi\)
\(644\) 259282. 0.0246353
\(645\) −1.23761e6 1.70587e6i −0.117134 0.161453i
\(646\) 4.11798e7 3.88242
\(647\) 1.68252e7 1.58015 0.790075 0.613010i \(-0.210041\pi\)
0.790075 + 0.613010i \(0.210041\pi\)
\(648\) −2.15992e7 + 3.74110e7i −2.02070 + 3.49995i
\(649\) 8.73295e6 0.813859
\(650\) 1.25042e7 2.16580e7i 1.16084 2.01064i
\(651\) 3.56142e6 6.16856e6i 0.329360 0.570468i
\(652\) −2.36916e7 4.10351e7i −2.18261 3.78039i
\(653\) −1.56294e7 −1.43436 −0.717180 0.696888i \(-0.754567\pi\)
−0.717180 + 0.696888i \(0.754567\pi\)
\(654\) 5.73218e6 + 9.92843e6i 0.524054 + 0.907687i
\(655\) 676560. 1.17184e6i 0.0616174 0.106724i
\(656\) −1.04340e7 −0.946653
\(657\) −1.09584e6 + 1.89806e6i −0.0990456 + 0.171552i
\(658\) −8.42323e6 1.45895e7i −0.758427 1.31363i
\(659\) −457666. 792700.i −0.0410520 0.0711042i 0.844769 0.535131i \(-0.179738\pi\)
−0.885821 + 0.464026i \(0.846404\pi\)
\(660\) 3.85326e6 + 6.67405e6i 0.344325 + 0.596389i
\(661\) −8.73256e6 −0.777389 −0.388694 0.921367i \(-0.627074\pi\)
−0.388694 + 0.921367i \(0.627074\pi\)
\(662\) 9.94885e6 + 1.72319e7i 0.882324 + 1.52823i
\(663\) −1.08035e7 1.87122e7i −0.954510 1.65326i
\(664\) −2.43280e7 + 4.21374e7i −2.14135 + 3.70892i
\(665\) −827586. + 1.43342e6i −0.0725703 + 0.125695i
\(666\) 1.88955e6 0.165072
\(667\) −51357.7 −0.00446983
\(668\) −223985. + 387953.i −0.0194213 + 0.0336386i
\(669\) −2.42375e6 + 4.19806e6i −0.209374 + 0.362646i
\(670\) 2.26961e6 + 3.93108e6i 0.195328 + 0.338318i
\(671\) 224340. + 388568.i 0.0192354 + 0.0333166i
\(672\) −3.00868e7 −2.57012
\(673\) −3.97823e6 6.89050e6i −0.338573 0.586426i 0.645591 0.763683i \(-0.276611\pi\)
−0.984165 + 0.177257i \(0.943278\pi\)
\(674\) 5.34542e6 + 9.25855e6i 0.453244 + 0.785042i
\(675\) 4.88281e6 + 8.45727e6i 0.412487 + 0.714448i
\(676\) −8.67831e6 + 1.50313e7i −0.730413 + 1.26511i
\(677\) 7.91314e6 0.663555 0.331778 0.943358i \(-0.392352\pi\)
0.331778 + 0.943358i \(0.392352\pi\)
\(678\) 4.68708e6 8.11825e6i 0.391586 0.678248i
\(679\) −12058.8 20886.4i −0.00100376 0.00173856i
\(680\) −1.03435e7 −0.857815
\(681\) 4.48217e6 + 7.76334e6i 0.370357 + 0.641477i
\(682\) −1.55355e7 + 2.69083e7i −1.27898 + 2.21526i
\(683\) −6.47217e6 + 1.12101e7i −0.530882 + 0.919515i 0.468468 + 0.883480i \(0.344806\pi\)
−0.999351 + 0.0360349i \(0.988527\pi\)
\(684\) −1.12888e7 −0.922591
\(685\) −1.41998e6 + 2.45948e6i −0.115626 + 0.200271i
\(686\) −2.26391e7 −1.83674
\(687\) 3.79908e6 0.307105
\(688\) −4.80461e7 + 5.01663e6i −3.86978 + 0.404056i
\(689\) −2.56983e7 −2.06232
\(690\) −76721.0 −0.00613467
\(691\) −1.25765e6 + 2.17831e6i −0.100199 + 0.173550i −0.911767 0.410709i \(-0.865281\pi\)
0.811568 + 0.584259i \(0.198615\pi\)
\(692\) −2.77571e7 −2.20348
\(693\) 1.02754e6 1.77975e6i 0.0812765 0.140775i
\(694\) 1.76516e7 3.05736e7i 1.39119 2.40961i
\(695\) −2.09270e6 3.62467e6i −0.164341 0.284647i
\(696\) 1.37259e7 1.07403
\(697\) 2.17108e6 + 3.76042e6i 0.169275 + 0.293194i
\(698\) −8.19405e6 + 1.41925e7i −0.636590 + 1.10261i
\(699\) −1.61475e7 −1.25001
\(700\) −9.75247e6 + 1.68918e7i −0.752263 + 1.30296i
\(701\) −9.67939e6 1.67652e7i −0.743966 1.28859i −0.950676 0.310184i \(-0.899609\pi\)
0.206711 0.978402i \(-0.433724\pi\)
\(702\) −1.33528e7 2.31278e7i −1.02266 1.77129i
\(703\) −3.45374e6 5.98205e6i −0.263573 0.456522i
\(704\) 6.74120e7 5.12632
\(705\) 1.83083e6 + 3.17108e6i 0.138731 + 0.240290i
\(706\) 1.98916e7 + 3.44533e7i 1.50196 + 2.60147i
\(707\) −2.75441e6 + 4.77077e6i −0.207243 + 0.358955i
\(708\) 1.33626e7 2.31448e7i 1.00186 1.73528i
\(709\) 2.02872e7 1.51568 0.757838 0.652442i \(-0.226256\pi\)
0.757838 + 0.652442i \(0.226256\pi\)
\(710\) 2.41910e6 0.180097
\(711\) 2.59206e6 4.48958e6i 0.192296 0.333067i
\(712\) 1.76479e7 3.05671e7i 1.30465 2.25972i
\(713\) −113608. 196775.i −0.00836921 0.0144959i
\(714\) 1.14708e7 + 1.98680e7i 0.842070 + 1.45851i
\(715\) −3.78840e6 −0.277134
\(716\) 9.61324e6 + 1.66506e7i 0.700789 + 1.21380i
\(717\) 6.45873e6 + 1.11868e7i 0.469190 + 0.812662i
\(718\) −6.05090e6 1.04805e7i −0.438035 0.758699i
\(719\) 2.06802e6 3.58192e6i 0.149188 0.258401i −0.781740 0.623605i \(-0.785667\pi\)
0.930927 + 0.365204i \(0.119001\pi\)
\(720\) 2.25575e6 0.162166
\(721\) 3.47510e6 6.01905e6i 0.248960 0.431211i
\(722\) 1.44966e7 + 2.51088e7i 1.03496 + 1.79260i
\(723\) −1.95038e7 −1.38763
\(724\) −1.70833e7 2.95892e7i −1.21123 2.09791i
\(725\) 1.93173e6 3.34586e6i 0.136490 0.236408i
\(726\) −8.51181e6 + 1.47429e7i −0.599350 + 1.03810i
\(727\) −2.55897e7 −1.79568 −0.897841 0.440319i \(-0.854865\pi\)
−0.897841 + 0.440319i \(0.854865\pi\)
\(728\) 1.70324e7 2.95010e7i 1.19110 2.06304i
\(729\) 9.65656e6 0.672982
\(730\) −4.28979e6 −0.297940
\(731\) 1.18053e7 + 1.62720e7i 0.817117 + 1.12628i
\(732\) 1.37309e6 0.0947153
\(733\) −4.15702e6 −0.285774 −0.142887 0.989739i \(-0.545638\pi\)
−0.142887 + 0.989739i \(0.545638\pi\)
\(734\) 1.17205e7 2.03006e7i 0.802985 1.39081i
\(735\) 1.99929e6 0.136508
\(736\) −479879. + 831174.i −0.0326540 + 0.0565584i
\(737\) −1.03014e7 + 1.78426e7i −0.698599 + 1.21001i
\(738\) −810240. 1.40338e6i −0.0547612 0.0948492i
\(739\) 2.19214e6 0.147658 0.0738290 0.997271i \(-0.476478\pi\)
0.0738290 + 0.997271i \(0.476478\pi\)
\(740\) 1.35836e6 + 2.35274e6i 0.0911873 + 0.157941i
\(741\) 1.47388e7 2.55284e7i 0.986091 1.70796i
\(742\) 2.72856e7 1.81938
\(743\) −9.13301e6 + 1.58188e7i −0.606935 + 1.05124i 0.384808 + 0.922997i \(0.374268\pi\)
−0.991743 + 0.128245i \(0.959066\pi\)
\(744\) 3.03630e7 + 5.25902e7i 2.01100 + 3.48315i
\(745\) 500746. + 867318.i 0.0330542 + 0.0572516i
\(746\) −2.40257e7 4.16137e7i −1.58062 2.73772i
\(747\) −4.41588e6 −0.289545
\(748\) −3.67556e7 6.36626e7i −2.40198 4.16036i
\(749\) −2.47355e6 4.28431e6i −0.161108 0.279046i
\(750\) 5.86777e6 1.01633e7i 0.380908 0.659752i
\(751\) −1.14127e7 + 1.97674e7i −0.738395 + 1.27894i 0.214822 + 0.976653i \(0.431083\pi\)
−0.953218 + 0.302285i \(0.902250\pi\)
\(752\) 8.39299e7 5.41218
\(753\) −1.52501e7 −0.980135
\(754\) −5.28264e6 + 9.14980e6i −0.338394 + 0.586115i
\(755\) 2.70596e6 4.68686e6i 0.172764 0.299236i
\(756\) 1.04143e7 + 1.80381e7i 0.662714 + 1.14785i
\(757\) 2.80633e6 + 4.86071e6i 0.177992 + 0.308290i 0.941193 0.337871i \(-0.109707\pi\)
−0.763201 + 0.646161i \(0.776373\pi\)
\(758\) −1.62090e6 −0.102467
\(759\) −174112. 301571.i −0.0109705 0.0190014i
\(760\) −7.05560e6 1.22207e7i −0.443098 0.767469i
\(761\) 2.35036e6 + 4.07094e6i 0.147120 + 0.254820i 0.930162 0.367149i \(-0.119666\pi\)
−0.783042 + 0.621969i \(0.786333\pi\)
\(762\) 1.16574e7 2.01912e7i 0.727302 1.25972i
\(763\) 4.39546e6 0.273333
\(764\) −1.29399e7 + 2.24125e7i −0.802042 + 1.38918i
\(765\) −469371. 812975.i −0.0289977 0.0502254i
\(766\) −5.16276e7 −3.17914
\(767\) 6.56884e6 + 1.13776e7i 0.403181 + 0.698331i
\(768\) 3.05814e7 5.29686e7i 1.87092 3.24053i
\(769\) −5.12371e6 + 8.87453e6i −0.312442 + 0.541165i −0.978890 0.204386i \(-0.934480\pi\)
0.666449 + 0.745551i \(0.267814\pi\)
\(770\) 4.02240e6 0.244488
\(771\) 5.06558e6 8.77385e6i 0.306898 0.531562i
\(772\) 1.41241e7 0.852937
\(773\) 2.01869e7