Properties

Label 43.7.h.a.12.4
Level $43$
Weight $7$
Character 43.12
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 12.4
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.10062 - 10.5915i) q^{2} +(-0.905002 - 1.32739i) q^{3} +(-46.2612 + 58.0097i) q^{4} +(140.603 - 151.534i) q^{5} +(-9.44309 + 16.3559i) q^{6} +(243.269 - 140.452i) q^{7} +(116.869 + 26.6747i) q^{8} +(265.391 - 676.204i) q^{9} +O(q^{10})\) \(q+(-5.10062 - 10.5915i) q^{2} +(-0.905002 - 1.32739i) q^{3} +(-46.2612 + 58.0097i) q^{4} +(140.603 - 151.534i) q^{5} +(-9.44309 + 16.3559i) q^{6} +(243.269 - 140.452i) q^{7} +(116.869 + 26.6747i) q^{8} +(265.391 - 676.204i) q^{9} +(-2322.14 - 716.285i) q^{10} +(-66.0129 - 82.7776i) q^{11} +(118.868 + 8.90794i) q^{12} +(1518.99 - 468.545i) q^{13} +(-2728.43 - 1860.21i) q^{14} +(-328.391 - 49.4970i) q^{15} +(743.087 + 3255.67i) q^{16} +(-6423.68 + 5960.31i) q^{17} +(-8515.71 + 638.164i) q^{18} +(3770.01 - 1479.62i) q^{19} +(2285.98 + 15166.5i) q^{20} +(-406.594 - 195.805i) q^{21} +(-540.036 + 1121.40i) q^{22} +(-9634.65 + 1452.19i) q^{23} +(-70.3592 - 179.272i) q^{24} +(-2025.69 - 27030.9i) q^{25} +(-12710.4 - 13698.5i) q^{26} +(-2279.58 + 520.299i) q^{27} +(-3106.37 + 20609.4i) q^{28} +(-8907.88 + 13065.5i) q^{29} +(1150.75 + 3730.64i) q^{30} +(2824.03 - 37684.1i) q^{31} +(36690.6 - 29259.8i) q^{32} +(-50.1366 + 162.539i) q^{33} +(95893.6 + 37635.5i) q^{34} +(12921.2 - 56611.5i) q^{35} +(26949.1 + 46677.2i) q^{36} +(36099.6 + 20842.1i) q^{37} +(-34900.8 - 32383.2i) q^{38} +(-1996.63 - 1592.26i) q^{39} +(20474.3 - 13959.1i) q^{40} +(-96623.5 + 46531.4i) q^{41} +5305.19i q^{42} +(78966.1 - 9258.29i) q^{43} +7855.73 q^{44} +(-65153.2 - 135292. i) q^{45} +(64523.6 + 94638.7i) q^{46} +(65997.0 - 82757.6i) q^{47} +(3649.07 - 3932.76i) q^{48} +(-19371.1 + 33551.8i) q^{49} +(-275967. + 159330. i) q^{50} +(13725.1 + 3132.67i) q^{51} +(-43089.9 + 109791. i) q^{52} +(136244. + 42025.7i) q^{53} +(17138.0 + 21490.4i) q^{54} +(-21825.2 - 1635.57i) q^{55} +(32177.3 - 9925.37i) q^{56} +(-5375.90 - 3665.23i) q^{57} +(183819. + 27706.3i) q^{58} +(54184.0 + 237396. i) q^{59} +(18063.1 - 16760.1i) q^{60} +(138811. - 10402.5i) q^{61} +(-413537. + 162301. i) q^{62} +(-30412.6 - 201774. i) q^{63} +(-304495. - 146637. i) q^{64} +(142573. - 296057. i) q^{65} +(1977.27 - 298.025i) q^{66} +(-170477. - 434368. i) q^{67} +(-48588.4 - 648367. i) q^{68} +(10647.0 + 11474.7i) q^{69} +(-665509. + 151898. i) q^{70} +(-21501.7 + 142654. i) q^{71} +(49053.6 - 71948.4i) q^{72} +(118629. + 384586. i) q^{73} +(36619.9 - 488659. i) q^{74} +(-34047.4 + 27151.9i) q^{75} +(-88572.8 + 287146. i) q^{76} +(-27685.2 - 10865.6i) q^{77} +(-6680.44 + 29268.9i) q^{78} +(149708. + 259303. i) q^{79} +(597825. + 345155. i) q^{80} +(-385441. - 357637. i) q^{81} +(985680. + 786053. i) q^{82} +(493685. - 336589. i) q^{83} +(30168.1 - 14528.2i) q^{84} +1.81144e6i q^{85} +(-500836. - 789150. i) q^{86} +25404.7 q^{87} +(-5506.82 - 11435.0i) q^{88} +(-294999. - 432684. i) q^{89} +(-1.10063e6 + 1.38015e6i) q^{90} +(303715. - 327327. i) q^{91} +(361469. - 626083. i) q^{92} +(-52577.4 + 30355.6i) q^{93} +(-1.21316e6 - 276895. i) q^{94} +(305862. - 779323. i) q^{95} +(-72044.4 - 22222.8i) q^{96} +(76301.2 + 95678.7i) q^{97} +(454170. + 34035.4i) q^{98} +(-73493.8 + 22669.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.10062 10.5915i −0.637577 1.32394i −0.929967 0.367644i \(-0.880165\pi\)
0.292389 0.956299i \(-0.405550\pi\)
\(3\) −0.905002 1.32739i −0.0335186 0.0491628i 0.809114 0.587652i \(-0.199948\pi\)
−0.842632 + 0.538489i \(0.818995\pi\)
\(4\) −46.2612 + 58.0097i −0.722831 + 0.906401i
\(5\) 140.603 151.534i 1.12482 1.21227i 0.150144 0.988664i \(-0.452026\pi\)
0.974679 0.223607i \(-0.0717833\pi\)
\(6\) −9.44309 + 16.3559i −0.0437180 + 0.0757218i
\(7\) 243.269 140.452i 0.709240 0.409480i −0.101539 0.994832i \(-0.532377\pi\)
0.810780 + 0.585351i \(0.199043\pi\)
\(8\) 116.869 + 26.6747i 0.228261 + 0.0520990i
\(9\) 265.391 676.204i 0.364048 0.927578i
\(10\) −2322.14 716.285i −2.32214 0.716285i
\(11\) −66.0129 82.7776i −0.0495965 0.0621920i 0.756415 0.654092i \(-0.226949\pi\)
−0.806011 + 0.591900i \(0.798378\pi\)
\(12\) 118.868 + 8.90794i 0.0687894 + 0.00515506i
\(13\) 1518.99 468.545i 0.691391 0.213266i 0.0709047 0.997483i \(-0.477411\pi\)
0.620486 + 0.784217i \(0.286935\pi\)
\(14\) −2728.43 1860.21i −0.994324 0.677919i
\(15\) −328.391 49.4970i −0.0973011 0.0146658i
\(16\) 743.087 + 3255.67i 0.181418 + 0.794842i
\(17\) −6423.68 + 5960.31i −1.30749 + 1.21317i −0.346028 + 0.938224i \(0.612470\pi\)
−0.961460 + 0.274947i \(0.911340\pi\)
\(18\) −8515.71 + 638.164i −1.46017 + 0.109425i
\(19\) 3770.01 1479.62i 0.549644 0.215719i −0.0742343 0.997241i \(-0.523651\pi\)
0.623878 + 0.781521i \(0.285556\pi\)
\(20\) 2285.98 + 15166.5i 0.285747 + 1.89581i
\(21\) −406.594 195.805i −0.0439039 0.0211430i
\(22\) −540.036 + 1121.40i −0.0507171 + 0.105315i
\(23\) −9634.65 + 1452.19i −0.791867 + 0.119355i −0.532507 0.846426i \(-0.678750\pi\)
−0.259360 + 0.965781i \(0.583512\pi\)
\(24\) −70.3592 179.272i −0.00508964 0.0129682i
\(25\) −2025.69 27030.9i −0.129644 1.72998i
\(26\) −12710.4 13698.5i −0.723167 0.779389i
\(27\) −2279.58 + 520.299i −0.115815 + 0.0264339i
\(28\) −3106.37 + 20609.4i −0.141508 + 0.938841i
\(29\) −8907.88 + 13065.5i −0.365242 + 0.535711i −0.964237 0.265041i \(-0.914614\pi\)
0.598995 + 0.800753i \(0.295567\pi\)
\(30\) 1150.75 + 3730.64i 0.0426203 + 0.138172i
\(31\) 2824.03 37684.1i 0.0947949 1.26495i −0.723570 0.690251i \(-0.757500\pi\)
0.818365 0.574699i \(-0.194881\pi\)
\(32\) 36690.6 29259.8i 1.11971 0.892938i
\(33\) −50.1366 + 162.539i −0.00139513 + 0.00452289i
\(34\) 95893.6 + 37635.5i 2.43979 + 0.957548i
\(35\) 12921.2 56611.5i 0.301369 1.32038i
\(36\) 26949.1 + 46677.2i 0.577613 + 1.00045i
\(37\) 36099.6 + 20842.1i 0.712685 + 0.411469i 0.812054 0.583582i \(-0.198349\pi\)
−0.0993693 + 0.995051i \(0.531683\pi\)
\(38\) −34900.8 32383.2i −0.636041 0.590160i
\(39\) −1996.63 1592.26i −0.0336592 0.0268423i
\(40\) 20474.3 13959.1i 0.319911 0.218112i
\(41\) −96623.5 + 46531.4i −1.40195 + 0.675142i −0.973555 0.228452i \(-0.926634\pi\)
−0.428391 + 0.903594i \(0.640919\pi\)
\(42\) 5305.19i 0.0716066i
\(43\) 78966.1 9258.29i 0.993197 0.116446i
\(44\) 7855.73 0.0922208
\(45\) −65153.2 135292.i −0.714987 1.48469i
\(46\) 64523.6 + 94638.7i 0.662896 + 0.972289i
\(47\) 65997.0 82757.6i 0.635669 0.797103i −0.354785 0.934948i \(-0.615446\pi\)
0.990454 + 0.137845i \(0.0440175\pi\)
\(48\) 3649.07 3932.76i 0.0329958 0.0355610i
\(49\) −19371.1 + 33551.8i −0.164652 + 0.285186i
\(50\) −275967. + 159330.i −2.20774 + 1.27464i
\(51\) 13725.1 + 3132.67i 0.103468 + 0.0236159i
\(52\) −43089.9 + 109791.i −0.306454 + 0.780833i
\(53\) 136244. + 42025.7i 0.915145 + 0.282285i 0.716338 0.697754i \(-0.245817\pi\)
0.198807 + 0.980039i \(0.436293\pi\)
\(54\) 17138.0 + 21490.4i 0.108838 + 0.136478i
\(55\) −21825.2 1635.57i −0.131181 0.00983065i
\(56\) 32177.3 9925.37i 0.183225 0.0565175i
\(57\) −5375.90 3665.23i −0.0290287 0.0197914i
\(58\) 183819. + 27706.3i 0.942121 + 0.142002i
\(59\) 54184.0 + 237396.i 0.263825 + 1.15589i 0.917064 + 0.398740i \(0.130552\pi\)
−0.653240 + 0.757151i \(0.726591\pi\)
\(60\) 18063.1 16760.1i 0.0836253 0.0775929i
\(61\) 138811. 10402.5i 0.611555 0.0458297i 0.234648 0.972081i \(-0.424606\pi\)
0.376908 + 0.926251i \(0.376987\pi\)
\(62\) −413537. + 162301.i −1.73516 + 0.681000i
\(63\) −30412.6 201774.i −0.121628 0.806946i
\(64\) −304495. 146637.i −1.16156 0.559376i
\(65\) 142573. 296057.i 0.519157 1.07804i
\(66\) 1977.27 298.025i 0.00687755 0.00103662i
\(67\) −170477. 434368.i −0.566814 1.44422i −0.870845 0.491557i \(-0.836428\pi\)
0.304031 0.952662i \(-0.401667\pi\)
\(68\) −48588.4 648367.i −0.154527 2.06202i
\(69\) 10647.0 + 11474.7i 0.0324101 + 0.0349298i
\(70\) −665509. + 151898.i −1.94026 + 0.442852i
\(71\) −21501.7 + 142654.i −0.0600754 + 0.398574i 0.938503 + 0.345271i \(0.112213\pi\)
−0.998578 + 0.0533032i \(0.983025\pi\)
\(72\) 49053.6 71948.4i 0.131424 0.192763i
\(73\) 118629. + 384586.i 0.304946 + 0.988610i 0.970264 + 0.242050i \(0.0778197\pi\)
−0.665318 + 0.746560i \(0.731704\pi\)
\(74\) 36619.9 488659.i 0.0903696 1.20590i
\(75\) −34047.4 + 27151.9i −0.0807050 + 0.0643601i
\(76\) −88572.8 + 287146.i −0.201771 + 0.654127i
\(77\) −27685.2 10865.6i −0.0606422 0.0238003i
\(78\) −6680.44 + 29268.9i −0.0140774 + 0.0616769i
\(79\) 149708. + 259303.i 0.303644 + 0.525927i 0.976959 0.213429i \(-0.0684632\pi\)
−0.673314 + 0.739356i \(0.735130\pi\)
\(80\) 597825. + 345155.i 1.16763 + 0.674130i
\(81\) −385441. 357637.i −0.725275 0.672957i
\(82\) 985680. + 786053.i 1.78770 + 1.42564i
\(83\) 493685. 336589.i 0.863407 0.588661i −0.0486082 0.998818i \(-0.515479\pi\)
0.912015 + 0.410157i \(0.134526\pi\)
\(84\) 30168.1 14528.2i 0.0508991 0.0245117i
\(85\) 1.81144e6i 2.94963i
\(86\) −500836. 789150.i −0.787408 1.24069i
\(87\) 25404.7 0.0385794
\(88\) −5506.82 11435.0i −0.00808078 0.0167799i
\(89\) −294999. 432684.i −0.418456 0.613763i 0.557906 0.829904i \(-0.311605\pi\)
−0.976362 + 0.216142i \(0.930653\pi\)
\(90\) −1.10063e6 + 1.38015e6i −1.50978 + 1.89320i
\(91\) 303715. 327327.i 0.403034 0.434368i
\(92\) 361469. 626083.i 0.464203 0.804022i
\(93\) −52577.4 + 30355.6i −0.0653658 + 0.0377390i
\(94\) −1.21316e6 276895.i −1.46061 0.333374i
\(95\) 305862. 779323.i 0.356742 0.908964i
\(96\) −72044.4 22222.8i −0.0814304 0.0251179i
\(97\) 76301.2 + 95678.7i 0.0836020 + 0.104834i 0.821873 0.569670i \(-0.192929\pi\)
−0.738271 + 0.674504i \(0.764358\pi\)
\(98\) 454170. + 34035.4i 0.482548 + 0.0361620i
\(99\) −73493.8 + 22669.8i −0.0757434 + 0.0233637i
\(100\) 1.66177e6 + 1.13297e6i 1.66177 + 1.13297i
\(101\) 1.53739e6 + 231724.i 1.49218 + 0.224909i 0.843902 0.536498i \(-0.180253\pi\)
0.648274 + 0.761407i \(0.275491\pi\)
\(102\) −36826.8 161349.i −0.0347027 0.152043i
\(103\) 612015. 567867.i 0.560080 0.519679i −0.348544 0.937292i \(-0.613324\pi\)
0.908625 + 0.417614i \(0.137133\pi\)
\(104\) 190021. 14240.1i 0.168928 0.0126594i
\(105\) −86839.5 + 34082.0i −0.0750152 + 0.0294413i
\(106\) −249812. 1.65739e6i −0.209747 1.39158i
\(107\) −827025. 398274.i −0.675098 0.325110i 0.0647329 0.997903i \(-0.479380\pi\)
−0.739831 + 0.672792i \(0.765095\pi\)
\(108\) 75273.7 156307.i 0.0597547 0.124082i
\(109\) −34040.7 + 5130.81i −0.0262856 + 0.00396192i −0.162172 0.986763i \(-0.551850\pi\)
0.135886 + 0.990724i \(0.456612\pi\)
\(110\) 93998.9 + 239505.i 0.0706227 + 0.179944i
\(111\) −5004.52 66780.6i −0.00365926 0.0488294i
\(112\) 638035. + 687639.i 0.454141 + 0.489448i
\(113\) 1.14285e6 260849.i 0.792054 0.180781i 0.192692 0.981259i \(-0.438278\pi\)
0.599362 + 0.800478i \(0.295421\pi\)
\(114\) −11400.0 + 75634.1i −0.00769468 + 0.0510508i
\(115\) −1.13460e6 + 1.66416e6i −0.746020 + 1.09421i
\(116\) −345834. 1.12117e6i −0.221561 0.718284i
\(117\) 86292.4 1.15149e6i 0.0538785 0.718958i
\(118\) 2.23802e6 1.78476e6i 1.36213 1.08626i
\(119\) −725551. + 2.35218e6i −0.430553 + 1.39582i
\(120\) −37058.6 14544.4i −0.0214459 0.00841691i
\(121\) 391715. 1.71622e6i 0.221113 0.968759i
\(122\) −818203. 1.41717e6i −0.450590 0.780444i
\(123\) 149210. + 86146.5i 0.0801831 + 0.0462937i
\(124\) 2.05540e6 + 1.90713e6i 1.07803 + 1.00027i
\(125\) −1.85565e6 1.47983e6i −0.950090 0.757672i
\(126\) −1.98198e6 + 1.35129e6i −0.990804 + 0.675519i
\(127\) 654364. 315125.i 0.319454 0.153841i −0.267284 0.963618i \(-0.586126\pi\)
0.586738 + 0.809777i \(0.300412\pi\)
\(128\) 969551.i 0.462318i
\(129\) −83753.9 96440.4i −0.0390154 0.0449252i
\(130\) −3.86291e6 −1.75827
\(131\) −385092. 799653.i −0.171298 0.355703i 0.797592 0.603198i \(-0.206107\pi\)
−0.968889 + 0.247495i \(0.920393\pi\)
\(132\) −7109.45 10427.7i −0.00309111 0.00453383i
\(133\) 709313. 889450.i 0.301497 0.378065i
\(134\) −3.73109e6 + 4.02116e6i −1.55068 + 1.67123i
\(135\) −241673. + 418589.i −0.0982260 + 0.170132i
\(136\) −909722. + 525228.i −0.361653 + 0.208800i
\(137\) −3.63490e6 829643.i −1.41362 0.322648i −0.553543 0.832821i \(-0.686724\pi\)
−0.860072 + 0.510172i \(0.829582\pi\)
\(138\) 67228.9 171297.i 0.0255811 0.0651795i
\(139\) −3.46119e6 1.06764e6i −1.28879 0.397538i −0.426743 0.904373i \(-0.640339\pi\)
−0.862043 + 0.506835i \(0.830815\pi\)
\(140\) 2.68626e6 + 3.36847e6i 0.978959 + 1.22758i
\(141\) −169579. 12708.2i −0.0604945 0.00453344i
\(142\) 1.62060e6 499889.i 0.565993 0.174586i
\(143\) −139058. 94807.9i −0.0475540 0.0324218i
\(144\) 2.39871e6 + 361547.i 0.803323 + 0.121081i
\(145\) 727386. + 3.18689e6i 0.238595 + 1.04535i
\(146\) 3.46828e6 3.21809e6i 1.11444 1.03405i
\(147\) 62067.4 4651.31i 0.0195394 0.00146428i
\(148\) −2.87906e6 + 1.12995e6i −0.888107 + 0.348556i
\(149\) −89057.6 590859.i −0.0269223 0.178618i 0.971328 0.237742i \(-0.0764073\pi\)
−0.998251 + 0.0591242i \(0.981169\pi\)
\(150\) 461244. + 222123.i 0.136665 + 0.0658143i
\(151\) −2.20634e6 + 4.58152e6i −0.640829 + 1.33070i 0.287087 + 0.957905i \(0.407313\pi\)
−0.927916 + 0.372790i \(0.878401\pi\)
\(152\) 480067. 72358.5i 0.136701 0.0206043i
\(153\) 2.32560e6 + 5.92553e6i 0.649323 + 1.65445i
\(154\) 26127.7 + 348650.i 0.00715384 + 0.0954614i
\(155\) −5.31335e6 5.72643e6i −1.42683 1.53776i
\(156\) 184733. 42164.1i 0.0486598 0.0111063i
\(157\) 109601. 727154.i 0.0283214 0.187900i −0.970197 0.242318i \(-0.922092\pi\)
0.998518 + 0.0544178i \(0.0173303\pi\)
\(158\) 1.98281e6 2.90825e6i 0.502701 0.737327i
\(159\) −67516.4 218883.i −0.0167965 0.0544528i
\(160\) 724958. 9.67389e6i 0.176992 2.36179i
\(161\) −2.13985e6 + 1.70648e6i −0.512751 + 0.408905i
\(162\) −1.82194e6 + 5.90658e6i −0.428538 + 1.38928i
\(163\) 7.43990e6 + 2.91995e6i 1.71793 + 0.674236i 0.999766 0.0216409i \(-0.00688905\pi\)
0.718161 + 0.695877i \(0.244984\pi\)
\(164\) 1.77064e6 7.75770e6i 0.401421 1.75874i
\(165\) 17580.8 + 30450.9i 0.00391370 + 0.00677872i
\(166\) −6.08309e6 3.51207e6i −1.32984 0.767785i
\(167\) 3.31800e6 + 3.07866e6i 0.712406 + 0.661016i 0.950677 0.310183i \(-0.100390\pi\)
−0.238271 + 0.971199i \(0.576581\pi\)
\(168\) −42295.4 33729.4i −0.00892000 0.00711346i
\(169\) −1.90031e6 + 1.29561e6i −0.393699 + 0.268420i
\(170\) 1.91860e7 9.23948e6i 3.90515 1.88062i
\(171\) 2.94197e6i 0.588370i
\(172\) −3.11599e6 + 5.00910e6i −0.612366 + 0.984406i
\(173\) 3.96873e6 0.766502 0.383251 0.923644i \(-0.374804\pi\)
0.383251 + 0.923644i \(0.374804\pi\)
\(174\) −129580. 269075.i −0.0245974 0.0510770i
\(175\) −4.28933e6 6.29129e6i −0.800341 1.17388i
\(176\) 220444. 276427.i 0.0404352 0.0507041i
\(177\) 266081. 286767.i 0.0479837 0.0517142i
\(178\) −3.07811e6 + 5.33145e6i −0.545789 + 0.945334i
\(179\) −1.92083e6 + 1.10899e6i −0.334911 + 0.193361i −0.658019 0.753001i \(-0.728605\pi\)
0.323108 + 0.946362i \(0.395272\pi\)
\(180\) 1.08623e7 + 2.47925e6i 1.86254 + 0.425112i
\(181\) 38909.0 99138.5i 0.00656167 0.0167189i −0.927555 0.373686i \(-0.878094\pi\)
0.934117 + 0.356967i \(0.116189\pi\)
\(182\) −5.01603e6 1.54724e6i −0.832044 0.256652i
\(183\) −139433. 174843.i −0.0227516 0.0285296i
\(184\) −1.16473e6 87284.6i −0.186970 0.0140115i
\(185\) 8.23401e6 2.53985e6i 1.30046 0.401138i
\(186\) 589690. + 402044.i 0.0916400 + 0.0624791i
\(187\) 917426. + 138280.i 0.140296 + 0.0211463i
\(188\) 1.74764e6 + 7.65693e6i 0.263014 + 1.15234i
\(189\) −481475. + 446744.i −0.0713163 + 0.0661718i
\(190\) −9.81432e6 + 735482.i −1.43087 + 0.107229i
\(191\) −2.21276e6 + 868443.i −0.317566 + 0.124635i −0.518770 0.854914i \(-0.673610\pi\)
0.201204 + 0.979549i \(0.435515\pi\)
\(192\) 80923.4 + 536892.i 0.0114333 + 0.0758548i
\(193\) 3.15808e6 + 1.52085e6i 0.439289 + 0.211551i 0.640438 0.768010i \(-0.278753\pi\)
−0.201148 + 0.979561i \(0.564467\pi\)
\(194\) 624202. 1.29617e6i 0.0854909 0.177524i
\(195\) −522013. + 78680.8i −0.0704008 + 0.0106112i
\(196\) −1.05020e6 2.67586e6i −0.139477 0.355382i
\(197\) 949959. + 1.26763e7i 0.124253 + 1.65804i 0.616331 + 0.787487i \(0.288618\pi\)
−0.492078 + 0.870551i \(0.663762\pi\)
\(198\) 614972. + 662782.i 0.0792246 + 0.0853838i
\(199\) 1.14027e7 2.60260e6i 1.44694 0.330254i 0.574309 0.818639i \(-0.305271\pi\)
0.872629 + 0.488384i \(0.162414\pi\)
\(200\) 484300. 3.21312e6i 0.0605375 0.401640i
\(201\) −422295. + 619394.i −0.0520030 + 0.0762744i
\(202\) −5.38732e6 1.74653e7i −0.653610 2.11895i
\(203\) −331949. + 4.42956e6i −0.0396811 + 0.529507i
\(204\) −816666. + 651269.i −0.0961953 + 0.0767132i
\(205\) −6.53446e6 + 2.11842e7i −0.758487 + 2.45895i
\(206\) −9.13624e6 3.58571e6i −1.04512 0.410179i
\(207\) −1.57497e6 + 6.90039e6i −0.177566 + 0.777969i
\(208\) 2.65417e6 + 4.59716e6i 0.294943 + 0.510857i
\(209\) −371348. 214398.i −0.0406764 0.0234845i
\(210\) 803916. + 745925.i 0.0868066 + 0.0805448i
\(211\) −6.61496e6 5.27525e6i −0.704174 0.561560i 0.204602 0.978845i \(-0.434410\pi\)
−0.908775 + 0.417286i \(0.862981\pi\)
\(212\) −8.74070e6 + 5.95931e6i −0.917358 + 0.625444i
\(213\) 208817. 100561.i 0.0216087 0.0104062i
\(214\) 1.07909e7i 1.10107i
\(215\) 9.69992e6 1.32678e7i 0.976007 1.33501i
\(216\) −280292. −0.0278131
\(217\) −4.60580e6 9.56404e6i −0.450739 0.935970i
\(218\) 227972. + 334373.i 0.0220045 + 0.0322747i
\(219\) 403138. 505519.i 0.0383814 0.0481288i
\(220\) 1.10454e6 1.19041e6i 0.103732 0.111797i
\(221\) −6.96481e6 + 1.20634e7i −0.645257 + 1.11762i
\(222\) −681784. + 393628.i −0.0623143 + 0.0359772i
\(223\) −1.41356e7 3.22635e6i −1.27467 0.290936i −0.468948 0.883226i \(-0.655367\pi\)
−0.805725 + 0.592290i \(0.798224\pi\)
\(224\) 4.81612e6 1.22713e7i 0.428503 1.09181i
\(225\) −1.88160e7 5.80397e6i −1.65189 0.509540i
\(226\) −8.59204e6 1.07741e7i −0.744340 0.933372i
\(227\) 1.80114e7 + 1.34977e6i 1.53982 + 0.115394i 0.817405 0.576063i \(-0.195412\pi\)
0.722418 + 0.691457i \(0.243031\pi\)
\(228\) 461314. 142297.i 0.0389218 0.0120058i
\(229\) 1.51469e7 + 1.03270e7i 1.26130 + 0.859940i 0.994594 0.103838i \(-0.0331122\pi\)
0.266706 + 0.963778i \(0.414065\pi\)
\(230\) 2.34132e7 + 3.52897e6i 1.92432 + 0.290044i
\(231\) 10632.2 + 46582.6i 0.000862553 + 0.00377909i
\(232\) −1.38958e6 + 1.28934e6i −0.111280 + 0.103253i
\(233\) −3.27496e6 + 245424.i −0.258904 + 0.0194021i −0.203550 0.979065i \(-0.565248\pi\)
−0.0553540 + 0.998467i \(0.517629\pi\)
\(234\) −1.26362e7 + 4.95936e6i −0.986211 + 0.387059i
\(235\) −3.26122e6 2.16368e7i −0.251290 1.66720i
\(236\) −1.62779e7 7.83900e6i −1.23840 0.596383i
\(237\) 208710. 433392.i 0.0156783 0.0325563i
\(238\) 2.86140e7 4.31286e6i 2.12250 0.319915i
\(239\) −8.39321e6 2.13856e7i −0.614801 1.56649i −0.810447 0.585812i \(-0.800776\pi\)
0.195646 0.980675i \(-0.437320\pi\)
\(240\) −82876.9 1.10592e6i −0.00599515 0.0799997i
\(241\) −647120. 697429.i −0.0462310 0.0498252i 0.709513 0.704692i \(-0.248915\pi\)
−0.755744 + 0.654867i \(0.772725\pi\)
\(242\) −2.01754e7 + 4.60489e6i −1.42356 + 0.324918i
\(243\) −379950. + 2.52081e6i −0.0264794 + 0.175679i
\(244\) −5.81813e6 + 8.53364e6i −0.400511 + 0.587442i
\(245\) 2.36060e6 + 7.65287e6i 0.160518 + 0.520386i
\(246\) 151360. 2.01977e6i 0.0101673 0.135674i
\(247\) 5.03332e6 4.01394e6i 0.334013 0.266367i
\(248\) 1.33525e6 4.32879e6i 0.0875405 0.283799i
\(249\) −893571. 350701.i −0.0578804 0.0227164i
\(250\) −6.20872e6 + 2.72022e7i −0.397358 + 1.74094i
\(251\) −1.04909e7 1.81707e7i −0.663422 1.14908i −0.979711 0.200417i \(-0.935770\pi\)
0.316289 0.948663i \(-0.397563\pi\)
\(252\) 1.31118e7 + 7.57010e6i 0.819333 + 0.473042i
\(253\) 756220. + 701669.i 0.0466967 + 0.0433282i
\(254\) −6.67532e6 5.32339e6i −0.407353 0.324853i
\(255\) 2.40450e6 1.63936e6i 0.145012 0.0988675i
\(256\) −9.21864e6 + 4.43946e6i −0.549474 + 0.264613i
\(257\) 2.86936e6i 0.169039i −0.996422 0.0845193i \(-0.973065\pi\)
0.996422 0.0845193i \(-0.0269355\pi\)
\(258\) −594256. + 1.37899e6i −0.0346031 + 0.0802974i
\(259\) 1.17093e7 0.673954
\(260\) 1.05785e7 + 2.19666e7i 0.601874 + 1.24980i
\(261\) 6.47085e6 + 9.49100e6i 0.363949 + 0.533815i
\(262\) −6.50535e6 + 8.15745e6i −0.361715 + 0.453576i
\(263\) 1.67783e7 1.80827e7i 0.922315 0.994020i −0.0776802 0.996978i \(-0.524751\pi\)
0.999996 + 0.00295872i \(0.000941792\pi\)
\(264\) −10195.1 + 17658.5i −0.000554090 + 0.000959712i
\(265\) 2.55246e7 1.47367e7i 1.37158 0.791883i
\(266\) −1.30386e7 2.97597e6i −0.692765 0.158119i
\(267\) −307367. + 783159.i −0.0161482 + 0.0411449i
\(268\) 3.30840e7 + 1.02051e7i 1.71875 + 0.530165i
\(269\) 1.78775e7 + 2.24177e7i 0.918441 + 1.15169i 0.988053 + 0.154114i \(0.0492523\pi\)
−0.0696125 + 0.997574i \(0.522176\pi\)
\(270\) 5.66619e6 + 424622.i 0.287872 + 0.0215730i
\(271\) 5.43721e6 1.67716e6i 0.273192 0.0842686i −0.155132 0.987894i \(-0.549580\pi\)
0.428324 + 0.903625i \(0.359104\pi\)
\(272\) −2.41782e7 1.64844e7i −1.20148 0.819156i
\(273\) −709355. 106918.i −0.0348639 0.00525488i
\(274\) 9.75306e6 + 4.27309e7i 0.474121 + 2.07726i
\(275\) −2.10383e6 + 1.95207e6i −0.101161 + 0.0938637i
\(276\) −1.15819e6 + 86794.2i −0.0550874 + 0.00412823i
\(277\) −6.67888e6 + 2.62127e6i −0.314242 + 0.123331i −0.517220 0.855852i \(-0.673033\pi\)
0.202978 + 0.979183i \(0.434938\pi\)
\(278\) 6.34630e6 + 4.21049e7i 0.295383 + 1.95974i
\(279\) −2.47327e7 1.19106e7i −1.13883 0.548431i
\(280\) 3.02019e6 6.27148e6i 0.137581 0.285691i
\(281\) −2.20492e7 + 3.32338e6i −0.993742 + 0.149783i −0.625731 0.780039i \(-0.715199\pi\)
−0.368011 + 0.929821i \(0.619961\pi\)
\(282\) 730361. + 1.86093e6i 0.0325679 + 0.0829817i
\(283\) −1.74527e6 2.32890e7i −0.0770023 1.02752i −0.893173 0.449713i \(-0.851526\pi\)
0.816171 0.577811i \(-0.196093\pi\)
\(284\) −7.28063e6 7.84665e6i −0.317844 0.342554i
\(285\) −1.31127e6 + 299290.i −0.0566447 + 0.0129288i
\(286\) −294882. + 1.95642e6i −0.0126052 + 0.0836302i
\(287\) −1.69701e7 + 2.48906e7i −0.717860 + 1.05291i
\(288\) −1.00483e7 3.25756e7i −0.420643 1.36369i
\(289\) 3.93465e6 5.25042e7i 0.163009 2.17521i
\(290\) 3.00439e7 2.39592e7i 1.23186 0.982379i
\(291\) 57950.6 187871.i 0.00235168 0.00762398i
\(292\) −2.77976e7 1.09098e7i −1.11650 0.438194i
\(293\) −6.52351e6 + 2.85814e7i −0.259345 + 1.13627i 0.662608 + 0.748966i \(0.269450\pi\)
−0.921954 + 0.387300i \(0.873408\pi\)
\(294\) −365847. 633665.i −0.0143965 0.0249355i
\(295\) 4.35919e7 + 2.51678e7i 1.69801 + 0.980346i
\(296\) 3.66299e6 + 3.39875e6i 0.141241 + 0.131052i
\(297\) 193551. + 154352.i 0.00738798 + 0.00589172i
\(298\) −5.80386e6 + 3.95700e6i −0.219315 + 0.149526i
\(299\) −1.39545e7 + 6.72012e6i −0.522036 + 0.251399i
\(300\) 3.23116e6i 0.119673i
\(301\) 1.79097e7 1.33432e7i 0.656733 0.489283i
\(302\) 5.97791e7 2.17034
\(303\) −1.08375e6 2.25043e6i −0.0389585 0.0808981i
\(304\) 7.61860e6 + 1.11744e7i 0.271178 + 0.397745i
\(305\) 1.79410e7 2.24973e7i 0.632334 0.792921i
\(306\) 5.08986e7 5.48556e7i 1.77640 1.91451i
\(307\) 3.99813e6 6.92496e6i 0.138179 0.239333i −0.788628 0.614870i \(-0.789208\pi\)
0.926807 + 0.375537i \(0.122542\pi\)
\(308\) 1.91106e6 1.10335e6i 0.0654067 0.0377626i
\(309\) −1.30766e6 298464.i −0.0443219 0.0101162i
\(310\) −3.35504e7 + 8.54850e7i −1.12619 + 2.86949i
\(311\) −2.09007e7 6.44700e6i −0.694830 0.214327i −0.0728307 0.997344i \(-0.523203\pi\)
−0.622000 + 0.783018i \(0.713679\pi\)
\(312\) −190872. 239346.i −0.00628461 0.00788065i
\(313\) 2.79651e7 + 2.09569e6i 0.911975 + 0.0683431i 0.522447 0.852672i \(-0.325019\pi\)
0.389528 + 0.921015i \(0.372638\pi\)
\(314\) −8.26072e6 + 2.54809e6i −0.266827 + 0.0823051i
\(315\) −3.48518e7 2.37615e7i −1.11505 0.760226i
\(316\) −2.19678e7 3.31111e6i −0.696185 0.104933i
\(317\) 3.89937e6 + 1.70842e7i 0.122410 + 0.536313i 0.998529 + 0.0542183i \(0.0172667\pi\)
−0.876119 + 0.482095i \(0.839876\pi\)
\(318\) −1.97393e6 + 1.83154e6i −0.0613834 + 0.0569555i
\(319\) 1.66956e6 125116.i 0.0514317 0.00385427i
\(320\) −6.50334e7 + 2.55237e7i −1.98466 + 0.778922i
\(321\) 219792. + 1.45823e6i 0.00664504 + 0.0440869i
\(322\) 2.89888e7 + 1.39603e7i 0.868285 + 0.418144i
\(323\) −1.53984e7 + 3.19750e7i −0.456948 + 0.948863i
\(324\) 3.85773e7 5.81460e6i 1.13422 0.170956i
\(325\) −1.57422e7 4.01105e7i −0.458580 1.16844i
\(326\) −7.02137e6 9.36936e7i −0.202660 2.70431i
\(327\) 37617.5 + 40542.0i 0.00107584 + 0.00115948i
\(328\) −1.25335e7 + 2.86070e6i −0.355183 + 0.0810682i
\(329\) 4.43161e6 2.94018e7i 0.124444 0.825632i
\(330\) 232849. 341526.i 0.00647936 0.00950347i
\(331\) 1.13739e7 + 3.68734e7i 0.313636 + 1.01678i 0.965927 + 0.258815i \(0.0833321\pi\)
−0.652290 + 0.757969i \(0.726192\pi\)
\(332\) −3.31304e6 + 4.42095e7i −0.0905342 + 1.20809i
\(333\) 2.36741e7 1.88794e7i 0.641121 0.511277i
\(334\) 1.56839e7 5.08458e7i 0.420934 1.36463i
\(335\) −8.97910e7 3.52404e7i −2.38835 0.937359i
\(336\) 335344. 1.46924e6i 0.00884042 0.0387324i
\(337\) 2.45832e7 + 4.25794e7i 0.642317 + 1.11253i 0.984914 + 0.173043i \(0.0553601\pi\)
−0.342597 + 0.939482i \(0.611307\pi\)
\(338\) 2.34153e7 + 1.35188e7i 0.606386 + 0.350097i
\(339\) −1.38053e6 1.28095e6i −0.0354362 0.0328800i
\(340\) −1.05081e8 8.37995e7i −2.67355 2.13208i
\(341\) −3.30582e6 + 2.25387e6i −0.0833712 + 0.0568416i
\(342\) −3.11600e7 + 1.50059e7i −0.778968 + 0.375131i
\(343\) 4.39308e7i 1.08865i
\(344\) 9.47568e6 + 1.02439e6i 0.232774 + 0.0251645i
\(345\) 3.23581e6 0.0788000
\(346\) −2.02430e7 4.20350e7i −0.488704 1.01480i
\(347\) −1.73930e6 2.55108e6i −0.0416280 0.0610570i 0.804861 0.593464i \(-0.202240\pi\)
−0.846489 + 0.532407i \(0.821288\pi\)
\(348\) −1.17525e6 + 1.47372e6i −0.0278864 + 0.0349684i
\(349\) −3.17168e7 + 3.41826e7i −0.746128 + 0.804135i −0.986013 0.166666i \(-0.946700\pi\)
0.239885 + 0.970801i \(0.422890\pi\)
\(350\) −4.47562e7 + 7.75200e7i −1.04388 + 1.80805i
\(351\) −3.21887e6 + 1.85841e6i −0.0744358 + 0.0429755i
\(352\) −4.84411e6 1.10564e6i −0.111067 0.0253504i
\(353\) −2.95387e7 + 7.52634e7i −0.671533 + 1.71104i 0.0311305 + 0.999515i \(0.490089\pi\)
−0.702663 + 0.711522i \(0.748006\pi\)
\(354\) −4.39449e6 1.35552e6i −0.0990600 0.0305560i
\(355\) 1.85937e7 + 2.33158e7i 0.415606 + 0.521154i
\(356\) 3.87468e7 + 2.90367e6i 0.858788 + 0.0643573i
\(357\) 3.77889e6 1.16563e6i 0.0830539 0.0256187i
\(358\) 2.15433e7 + 1.46880e7i 0.469530 + 0.320120i
\(359\) −5.13922e6 774612.i −0.111074 0.0167418i 0.0932698 0.995641i \(-0.470268\pi\)
−0.204344 + 0.978899i \(0.565506\pi\)
\(360\) −4.00554e6 1.75494e7i −0.0858527 0.376145i
\(361\) −2.24634e7 + 2.08430e7i −0.477478 + 0.443035i
\(362\) −1.24849e6 + 93561.4i −0.0263184 + 0.00197229i
\(363\) −2.63260e6 + 1.03322e6i −0.0550382 + 0.0216009i
\(364\) 4.93792e6 + 3.27609e7i 0.102386 + 0.679285i
\(365\) 7.49574e7 + 3.60976e7i 1.54147 + 0.742334i
\(366\) −1.14067e6 + 2.36862e6i −0.0232657 + 0.0483116i
\(367\) 7.01901e7 1.05795e7i 1.41997 0.214025i 0.606243 0.795279i \(-0.292676\pi\)
0.813722 + 0.581254i \(0.197438\pi\)
\(368\) −1.18872e7 3.02882e7i −0.238527 0.607757i
\(369\) 5.82178e6 + 7.76862e7i 0.115872 + 1.54620i
\(370\) −6.88995e7 7.42560e7i −1.36023 1.46597i
\(371\) 3.90466e7 8.91213e6i 0.764648 0.174526i
\(372\) 671375. 4.45428e6i 0.0130418 0.0865265i
\(373\) 3.71121e7 5.44334e7i 0.715136 1.04891i −0.280880 0.959743i \(-0.590626\pi\)
0.996016 0.0891692i \(-0.0284212\pi\)
\(374\) −3.21484e6 1.04223e7i −0.0614533 0.199227i
\(375\) −284952. + 3.80242e6i −0.00540353 + 0.0721051i
\(376\) 9.92057e6 7.91139e6i 0.186626 0.148830i
\(377\) −7.40919e6 + 2.40200e7i −0.138276 + 0.448280i
\(378\) 7.18753e6 + 2.82090e6i 0.133077 + 0.0522290i
\(379\) −1.33035e7 + 5.82865e7i −0.244370 + 1.07066i 0.692620 + 0.721302i \(0.256456\pi\)
−0.936991 + 0.349354i \(0.886401\pi\)
\(380\) 3.10587e7 + 5.37953e7i 0.566022 + 0.980379i
\(381\) −1.01050e6 583410.i −0.0182709 0.0105487i
\(382\) 2.04846e7 + 1.90069e7i 0.367483 + 0.340974i
\(383\) −4.72432e7 3.76752e7i −0.840898 0.670593i 0.105209 0.994450i \(-0.466449\pi\)
−0.946106 + 0.323857i \(0.895020\pi\)
\(384\) 1.28698e6 877445.i 0.0227288 0.0154962i
\(385\) −5.53913e6 + 2.66750e6i −0.0970642 + 0.0467437i
\(386\) 4.12062e7i 0.716474i
\(387\) 1.46964e7 5.58543e7i 0.253558 0.963660i
\(388\) −9.08008e6 −0.155451
\(389\) 2.11781e7 + 4.39767e7i 0.359781 + 0.747092i 0.999773 0.0212888i \(-0.00677696\pi\)
−0.639993 + 0.768381i \(0.721063\pi\)
\(390\) 3.49594e6 + 5.12761e6i 0.0589346 + 0.0864412i
\(391\) 5.32344e7 6.67539e7i 0.890558 1.11672i
\(392\) −3.15888e6 + 3.40446e6i −0.0524414 + 0.0565184i
\(393\) −712945. + 1.23486e6i −0.0117457 + 0.0203441i
\(394\) 1.29416e8 7.47186e7i 2.11593 1.22163i
\(395\) 6.03426e7 + 1.37728e7i 0.979113 + 0.223476i
\(396\) 2.08484e6 5.31208e6i 0.0335727 0.0855419i
\(397\) −8.07171e7 2.48979e7i −1.29001 0.397916i −0.427530 0.904001i \(-0.640616\pi\)
−0.862484 + 0.506085i \(0.831092\pi\)
\(398\) −8.57266e7 1.07498e8i −1.35977 1.70510i
\(399\) −1.82258e6 136584.i −0.0286925 0.00215020i
\(400\) 8.64986e7 2.66813e7i 1.35154 0.416895i
\(401\) −8.59709e7 5.86140e7i −1.33327 0.909009i −0.333837 0.942631i \(-0.608343\pi\)
−0.999435 + 0.0336220i \(0.989296\pi\)
\(402\) 8.71430e6 + 1.31347e6i 0.134139 + 0.0202182i
\(403\) −1.33670e7 5.85648e7i −0.204230 0.894791i
\(404\) −8.45637e7 + 7.84637e7i −1.28245 + 1.18994i
\(405\) −1.08388e8 + 8.12258e6i −1.63161 + 0.122272i
\(406\) 4.86090e7 1.90776e7i 0.726337 0.285066i
\(407\) −657781. 4.36409e6i −0.00975659 0.0647307i
\(408\) 1.52048e6 + 732227.i 0.0223873 + 0.0107811i
\(409\) −1.87635e7 + 3.89628e7i −0.274248 + 0.569483i −0.991915 0.126904i \(-0.959496\pi\)
0.717667 + 0.696387i \(0.245210\pi\)
\(410\) 2.57703e8 3.88425e7i 3.73911 0.563580i
\(411\) 2.18833e6 + 5.57578e6i 0.0315201 + 0.0803119i
\(412\) 4.62924e6 + 6.17730e7i 0.0661940 + 0.883297i
\(413\) 4.65239e7 + 5.01409e7i 0.660429 + 0.711774i
\(414\) 8.11191e7 1.85149e7i 1.14320 0.260928i
\(415\) 1.84089e7 1.22135e8i 0.257564 1.70882i
\(416\) 4.20230e7 6.16365e7i 0.583724 0.856165i
\(417\) 1.71521e6 + 5.56057e6i 0.0236542 + 0.0766852i
\(418\) −376700. + 5.02672e6i −0.00515783 + 0.0688265i
\(419\) −5.22468e7 + 4.16654e7i −0.710260 + 0.566413i −0.910588 0.413315i \(-0.864371\pi\)
0.200328 + 0.979729i \(0.435799\pi\)
\(420\) 2.04021e6 6.61420e6i 0.0275377 0.0892750i
\(421\) −8.31192e7 3.26219e7i −1.11392 0.437183i −0.264230 0.964460i \(-0.585118\pi\)
−0.849693 + 0.527277i \(0.823213\pi\)
\(422\) −2.21327e7 + 9.69697e7i −0.294508 + 1.29032i
\(423\) −3.84461e7 6.65906e7i −0.507962 0.879816i
\(424\) 1.48017e7 + 8.54579e6i 0.194185 + 0.112113i
\(425\) 1.74125e8 + 1.61564e8i 2.26827 + 2.10464i
\(426\) −2.13020e6 1.69877e6i −0.0275544 0.0219739i
\(427\) 3.23075e7 2.20269e7i 0.414973 0.282924i
\(428\) 6.13629e7 2.95508e7i 0.782662 0.376910i
\(429\) 270386.i 0.00342462i
\(430\) −1.90002e8 3.50632e7i −2.38975 0.441008i
\(431\) 5.28824e7 0.660510 0.330255 0.943892i \(-0.392865\pi\)
0.330255 + 0.943892i \(0.392865\pi\)
\(432\) −3.38785e6 7.03494e6i −0.0420216 0.0872588i
\(433\) 2.69432e7 + 3.95184e7i 0.331883 + 0.486784i 0.955518 0.294932i \(-0.0952971\pi\)
−0.623635 + 0.781716i \(0.714345\pi\)
\(434\) −7.78055e7 + 9.75650e7i −0.951790 + 1.19351i
\(435\) 3.57197e6 3.84967e6i 0.0433950 0.0467687i
\(436\) 1.27712e6 2.21205e6i 0.0154090 0.0266891i
\(437\) −3.41740e7 + 1.97304e7i −0.409498 + 0.236424i
\(438\) −7.41048e6 1.69139e6i −0.0881909 0.0201290i
\(439\) −5.75773e7 + 1.46704e8i −0.680546 + 1.73400i −0.00140009 + 0.999999i \(0.500446\pi\)
−0.679146 + 0.734003i \(0.737650\pi\)
\(440\) −2.50707e6 773329.i −0.0294312 0.00907834i
\(441\) 1.75470e7 + 2.20032e7i 0.204591 + 0.256549i
\(442\) 1.63295e8 + 1.22373e7i 1.89106 + 0.141716i
\(443\) −9.91452e7 + 3.05823e7i −1.14041 + 0.351770i −0.806732 0.590918i \(-0.798766\pi\)
−0.333677 + 0.942687i \(0.608290\pi\)
\(444\) 4.10544e6 + 2.79904e6i 0.0469041 + 0.0319786i
\(445\) −1.07044e8 1.61343e7i −1.21474 0.183092i
\(446\) 3.79281e7 + 1.66174e8i 0.427520 + 1.87309i
\(447\) −703705. + 652943.i −0.00787895 + 0.00731059i
\(448\) −9.46697e7 + 7.09452e6i −1.05288 + 0.0789021i
\(449\) 4.61477e7 1.81116e7i 0.509813 0.200087i −0.0964697 0.995336i \(-0.530755\pi\)
0.606283 + 0.795249i \(0.292660\pi\)
\(450\) 3.45003e7 + 2.28895e8i 0.378604 + 2.51188i
\(451\) 1.02302e7 + 4.92658e6i 0.111520 + 0.0537052i
\(452\) −3.77379e7 + 7.83636e7i −0.408661 + 0.848593i
\(453\) 8.07823e6 1.21760e6i 0.0869003 0.0130981i
\(454\) −7.75733e7 1.97654e8i −0.828982 2.11221i
\(455\) −6.89791e6 9.20463e7i −0.0732291 0.977174i
\(456\) −530510. 571754.i −0.00559499 0.00602996i
\(457\) −1.05081e8 + 2.39842e7i −1.10097 + 0.251290i −0.734142 0.678996i \(-0.762415\pi\)
−0.366833 + 0.930287i \(0.619558\pi\)
\(458\) 3.21202e7 2.13104e8i 0.334335 2.21817i
\(459\) 1.15422e7 1.69292e7i 0.119357 0.175065i
\(460\) −4.40492e7 1.42804e8i −0.452547 1.46712i
\(461\) 1.02223e7 1.36408e8i 0.104339 1.39231i −0.661822 0.749661i \(-0.730217\pi\)
0.766161 0.642648i \(-0.222164\pi\)
\(462\) 439151. 350211.i 0.00445336 0.00355143i
\(463\) −1.29225e7 + 4.18937e7i −0.130198 + 0.422091i −0.997075 0.0764312i \(-0.975647\pi\)
0.866877 + 0.498522i \(0.166124\pi\)
\(464\) −4.91562e7 1.92924e7i −0.492067 0.193122i
\(465\) −2.79264e6 + 1.22354e7i −0.0277751 + 0.121691i
\(466\) 1.93037e7 + 3.34351e7i 0.190758 + 0.330403i
\(467\) −2.82054e7 1.62844e7i −0.276937 0.159890i 0.355099 0.934829i \(-0.384447\pi\)
−0.632036 + 0.774939i \(0.717781\pi\)
\(468\) 6.28057e7 + 5.82752e7i 0.612719 + 0.568520i
\(469\) −1.02479e8 8.17247e7i −0.993387 0.792200i
\(470\) −2.12532e8 + 1.44902e8i −2.04707 + 1.39567i
\(471\) −1.06441e6 + 512593.i −0.0101870 + 0.00490580i
\(472\) 2.91896e7i 0.277589i
\(473\) −5.97916e6 5.92546e6i −0.0565011 0.0559936i
\(474\) −5.65484e6 −0.0530989
\(475\) −4.76323e7 9.89095e7i −0.444448 0.922906i
\(476\) −1.02884e8 1.50903e8i −0.953955 1.39920i
\(477\) 6.45759e7 8.09756e7i 0.594997 0.746103i
\(478\) −1.83695e8 + 1.97977e8i −1.68196 + 1.81272i
\(479\) −5.68205e7 + 9.84160e7i −0.517009 + 0.895486i 0.482796 + 0.875733i \(0.339621\pi\)
−0.999805 + 0.0197533i \(0.993712\pi\)
\(480\) −1.34972e7 + 7.79259e6i −0.122045 + 0.0704625i
\(481\) 6.46003e7 + 1.47446e7i 0.580496 + 0.132495i
\(482\) −4.08614e6 + 1.04113e7i −0.0364899 + 0.0929747i
\(483\) 4.20174e6 + 1.29606e6i 0.0372896 + 0.0115023i
\(484\) 8.14359e7 + 1.02117e8i 0.718257 + 0.900666i
\(485\) 2.52268e7 + 1.89048e6i 0.221124 + 0.0165710i
\(486\) 2.86372e7 8.83341e6i 0.249472 0.0769520i
\(487\) 6.67333e7 + 4.54980e7i 0.577771 + 0.393918i 0.816651 0.577131i \(-0.195828\pi\)
−0.238880 + 0.971049i \(0.576780\pi\)
\(488\) 1.65003e7 + 2.48702e6i 0.141982 + 0.0214003i
\(489\) −2.85721e6 1.25182e7i −0.0244352 0.107057i
\(490\) 6.90152e7 6.40367e7i 0.586619 0.544303i
\(491\) 1.57311e8 1.17889e7i 1.32897 0.0995927i 0.608764 0.793351i \(-0.291666\pi\)
0.720208 + 0.693758i \(0.244046\pi\)
\(492\) −1.19000e7 + 4.67039e6i −0.0999195 + 0.0392155i
\(493\) −2.06528e7 1.37022e8i −0.172360 1.14354i
\(494\) −6.81869e7 3.28371e7i −0.565614 0.272385i
\(495\) −6.89819e6 + 1.43242e7i −0.0568748 + 0.118102i
\(496\) 1.24786e8 1.88084e7i 1.02263 0.154137i
\(497\) 1.48053e7 + 3.77233e7i 0.120600 + 0.307285i
\(498\) 843303. + 1.12531e7i 0.00682803 + 0.0911137i
\(499\) 4.48152e7 + 4.82993e7i 0.360681 + 0.388722i 0.887157 0.461468i \(-0.152677\pi\)
−0.526475 + 0.850190i \(0.676487\pi\)
\(500\) 1.71689e8 3.91868e7i 1.37351 0.313494i
\(501\) 1.08379e6 7.19049e6i 0.00861852 0.0571802i
\(502\) −1.38946e8 + 2.03796e8i −1.09833 + 1.61096i
\(503\) −4.41201e7 1.43034e8i −0.346683 1.12392i −0.946207 0.323563i \(-0.895119\pi\)
0.599523 0.800357i \(-0.295357\pi\)
\(504\) 1.82797e6 2.43925e7i 0.0142783 0.190531i
\(505\) 2.51276e8 2.00386e8i 1.95109 1.55594i
\(506\) 3.57457e6 1.15885e7i 0.0275913 0.0894489i
\(507\) 3.43957e6 + 1.34993e6i 0.0263925 + 0.0103583i
\(508\) −1.19913e7 + 5.25375e7i −0.0914695 + 0.400754i
\(509\) −1.74369e7 3.02016e7i −0.132226 0.229022i 0.792308 0.610121i \(-0.208879\pi\)
−0.924534 + 0.381099i \(0.875546\pi\)
\(510\) −2.96278e7 1.71056e7i −0.223351 0.128952i
\(511\) 8.28746e7 + 7.68964e7i 0.621096 + 0.576293i
\(512\) 1.42555e8 + 1.13684e8i 1.06212 + 0.847011i
\(513\) −7.82419e6 + 5.33444e6i −0.0579545 + 0.0395127i
\(514\) −3.03910e7 + 1.46355e7i −0.223797 + 0.107775i
\(515\) 1.72585e8i 1.26352i
\(516\) 9.46903e6 397090.i 0.0689218 0.00289028i
\(517\) −1.12071e7 −0.0811004
\(518\) −5.97244e7 1.24019e8i −0.429698 0.892276i
\(519\) −3.59171e6 5.26807e6i −0.0256921 0.0376833i
\(520\) 2.45597e7 3.07969e7i 0.174668 0.219026i
\(521\) −1.81366e7 + 1.95466e7i −0.128246 + 0.138216i −0.793910 0.608035i \(-0.791958\pi\)
0.665664 + 0.746251i \(0.268148\pi\)
\(522\) 6.75190e7 1.16946e8i 0.474695 0.822195i
\(523\) −1.15788e8 + 6.68500e7i −0.809388 + 0.467300i −0.846743 0.532002i \(-0.821440\pi\)
0.0373553 + 0.999302i \(0.488107\pi\)
\(524\) 6.42024e7 + 1.46538e7i 0.446229 + 0.101849i
\(525\) −4.46917e6 + 1.13873e7i −0.0308851 + 0.0786939i
\(526\) −2.77103e8 8.54749e7i −1.90407 0.587329i
\(527\) 2.06468e8 + 2.58903e8i 1.41066 + 1.76891i
\(528\) −566430. 42448.1i −0.00384808 0.000288374i
\(529\) −5.07415e7 + 1.56517e7i −0.342765 + 0.105729i
\(530\) −2.86275e8 1.95179e8i −1.92290 1.31101i
\(531\) 1.74908e8 + 2.63631e7i 1.16822 + 0.176081i
\(532\) 1.87831e7 + 8.22940e7i 0.124747 + 0.546554i
\(533\) −1.24968e8 + 1.15953e8i −0.825308 + 0.765774i
\(534\) 9.86263e6 739102.i 0.0647693 0.00485379i
\(535\) −1.76634e8 + 6.93238e7i −1.15349 + 0.452711i
\(536\) −8.33690e6 5.53117e7i −0.0541390 0.359189i
\(537\) 3.21042e6 + 1.54606e6i 0.0207319 + 0.00998395i
\(538\) 1.46252e8 3.03695e8i 0.939193 1.95025i
\(539\) 4.05608e6 611356.i 0.0259024 0.00390416i
\(540\) −1.31022e7 3.33838e7i −0.0832074 0.212009i
\(541\) −5.82687e6 7.77542e7i −0.0367996 0.491057i −0.984904 0.173099i \(-0.944622\pi\)
0.948105 0.317958i \(-0.102997\pi\)
\(542\) −4.54968e7 4.90339e7i −0.285748 0.307963i
\(543\) −166809. + 38073.0i −0.00104188 + 0.000237803i
\(544\) −6.12916e7 + 4.06643e8i −0.380719 + 2.52590i
\(545\) −4.00873e6 + 5.87972e6i −0.0247638 + 0.0363218i
\(546\) 2.48572e6 + 8.05851e6i 0.0152712 + 0.0495082i
\(547\) −1.85996e7 + 2.48194e8i −0.113642 + 1.51645i 0.590873 + 0.806765i \(0.298783\pi\)
−0.704515 + 0.709689i \(0.748836\pi\)
\(548\) 2.16282e8 1.72479e8i 1.31425 1.04808i
\(549\) 2.98051e7 9.66256e7i 0.180125 0.583949i
\(550\) 3.14063e7 + 1.23261e7i 0.188768 + 0.0740860i
\(551\) −1.42509e7 + 6.24372e7i −0.0851896 + 0.373240i
\(552\) 938224. + 1.62505e6i 0.00557814 + 0.00966162i
\(553\) 7.28390e7 + 4.20536e7i 0.430714 + 0.248673i
\(554\) 6.18297e7 + 5.73696e7i 0.363637 + 0.337406i
\(555\) −1.08232e7 8.63120e6i −0.0633105 0.0504885i
\(556\) 2.22052e8 1.51392e8i 1.29190 0.880805i
\(557\) 2.19982e8 1.05938e8i 1.27298 0.613036i 0.329405 0.944189i \(-0.393152\pi\)
0.943577 + 0.331153i \(0.107438\pi\)
\(558\) 3.22709e8i 1.85741i
\(559\) 1.15611e8 5.10624e7i 0.661854 0.292325i
\(560\) 1.93910e8 1.10417
\(561\) −646721. 1.34293e6i −0.00366293 0.00760614i
\(562\) 1.47664e8 + 2.16584e8i 0.831891 + 1.22016i
\(563\) −1.69057e8 + 2.11990e8i −0.947343 + 1.18793i 0.0347235 + 0.999397i \(0.488945\pi\)
−0.982067 + 0.188534i \(0.939626\pi\)
\(564\) 8.58214e6 9.24935e6i 0.0478364 0.0515554i
\(565\) 1.21161e8 2.09857e8i 0.671765 1.16353i
\(566\) −2.37765e8 + 1.37274e8i −1.31129 + 0.757073i
\(567\) −1.43997e8 3.28663e7i −0.789957 0.180303i
\(568\) −6.31814e6 + 1.60984e7i −0.0344782 + 0.0878489i
\(569\) 1.97167e8 + 6.08181e7i 1.07028 + 0.330138i 0.779339 0.626602i \(-0.215555\pi\)
0.290943 + 0.956740i \(0.406031\pi\)
\(570\) 9.85825e6 + 1.23619e7i 0.0532323 + 0.0667512i
\(571\) −1.10565e8 8.28569e6i −0.593894 0.0445062i −0.225607 0.974218i \(-0.572437\pi\)
−0.368287 + 0.929712i \(0.620056\pi\)
\(572\) 1.19327e7 3.68077e6i 0.0637606 0.0196675i
\(573\) 3.15531e6 + 2.15126e6i 0.0167718 + 0.0114348i
\(574\) 3.50188e8 + 5.27824e7i 1.85168 + 0.279096i
\(575\) 5.87708e7 + 2.57492e8i 0.309142 + 1.35444i
\(576\) −1.79967e8 + 1.66985e8i −0.941726 + 0.873794i
\(577\) −1.09163e8 + 8.18062e6i −0.568260 + 0.0425852i −0.355762 0.934576i \(-0.615779\pi\)
−0.212497 + 0.977162i \(0.568160\pi\)
\(578\) −5.76170e8 + 2.26130e8i −2.98378 + 1.17105i
\(579\) −839299. 5.56838e6i −0.00432395 0.0286876i
\(580\) −2.18520e8 1.05234e8i −1.11997 0.539350i
\(581\) 7.28240e7 1.51221e8i 0.371318 0.771050i
\(582\) −2.28543e6 + 344473.i −0.0115931 + 0.00174738i
\(583\) −5.51508e6 1.40522e7i −0.0278321 0.0709150i
\(584\) 3.60540e6 + 4.81107e7i 0.0181015 + 0.241548i
\(585\) −1.62357e8 1.74979e8i −0.810969 0.874016i
\(586\) 3.35995e8 7.66886e7i 1.66971 0.381099i
\(587\) 3.90421e7 2.59027e8i 0.193027 1.28065i −0.656990 0.753899i \(-0.728171\pi\)
0.850018 0.526754i \(-0.176591\pi\)
\(588\) −2.60149e6 + 3.81568e6i −0.0127965 + 0.0187690i
\(589\) −4.51115e7 1.46248e8i −0.220771 0.715721i
\(590\) 4.42202e7 5.90077e8i 0.215310 2.87311i
\(591\) 1.59668e7 1.27331e7i 0.0773490 0.0616837i
\(592\) −4.10301e7 + 1.33016e8i −0.197759 + 0.641120i
\(593\) 4.36605e7 + 1.71355e7i 0.209375 + 0.0821737i 0.467711 0.883882i \(-0.345079\pi\)
−0.258336 + 0.966055i \(0.583174\pi\)
\(594\) 647593. 2.83729e6i 0.00308989 0.0135377i
\(595\) 2.54420e8 + 4.40669e8i 1.20782 + 2.09200i
\(596\) 3.83954e7 + 2.21676e7i 0.181360 + 0.104708i
\(597\) −1.37742e7 1.27806e7i −0.0647355 0.0600658i
\(598\) 1.42353e8 + 1.13523e8i 0.665676 + 0.530859i
\(599\) 2.47898e8 1.69014e8i 1.15343 0.786398i 0.173326 0.984864i \(-0.444548\pi\)
0.980108 + 0.198466i \(0.0635961\pi\)
\(600\) −4.70337e6 + 2.26502e6i −0.0217749 + 0.0104862i
\(601\) 3.93531e8i 1.81282i 0.422396 + 0.906411i \(0.361189\pi\)
−0.422396 + 0.906411i \(0.638811\pi\)
\(602\) −2.32676e8 1.21633e8i −1.06650 0.557522i
\(603\) −3.38964e8 −1.54597
\(604\) −1.63704e8 3.39936e8i −0.742933 1.54272i
\(605\) −2.04989e8 3.00663e8i −0.925686 1.35773i
\(606\) −1.83078e7 + 2.29572e7i −0.0822655 + 0.103158i
\(607\) 2.69482e8 2.90433e8i 1.20494 1.29861i 0.262223 0.965007i \(-0.415545\pi\)
0.942713 0.333604i \(-0.108265\pi\)
\(608\) 9.50306e7 1.64598e8i 0.422817 0.732341i
\(609\) 6.18018e6 3.56813e6i 0.0273621 0.0157975i
\(610\) −3.29791e8 7.52726e7i −1.45294 0.331625i
\(611\) 6.14729e7 1.56630e8i 0.269501 0.686676i
\(612\) −4.51323e8 1.39215e8i −1.96894 0.607339i
\(613\) −6.48740e7 8.13494e7i −0.281637 0.353161i 0.620811 0.783960i \(-0.286803\pi\)
−0.902448 + 0.430799i \(0.858232\pi\)
\(614\) −9.37390e7 7.02476e6i −0.404963 0.0303478i
\(615\) 3.40335e7 1.04979e7i 0.146312 0.0451314i
\(616\) −2.94571e6 2.00835e6i −0.0126023 0.00859207i
\(617\) 6.49317e7 + 9.78689e6i 0.276440 + 0.0416667i 0.285799 0.958290i \(-0.407741\pi\)
−0.00935880 + 0.999956i \(0.502979\pi\)
\(618\) 3.50867e6 + 1.53725e7i 0.0148654 + 0.0651296i
\(619\) −9.69494e7 + 8.99559e7i −0.408764 + 0.379278i −0.857584 0.514345i \(-0.828035\pi\)
0.448819 + 0.893623i \(0.351845\pi\)
\(620\) 5.77990e8 4.33144e7i 2.42519 0.181743i
\(621\) 2.12074e7 8.32328e6i 0.0885548 0.0347552i
\(622\) 3.83226e7 + 2.54254e8i 0.159252 + 1.05657i
\(623\) −1.32535e8 6.38257e7i −0.548110 0.263956i
\(624\) 3.70021e6 7.68356e6i 0.0152290 0.0316234i
\(625\) −6.63415e7 + 9.99937e6i −0.271735 + 0.0409574i
\(626\) −1.20443e8 3.06883e8i −0.490972 1.25098i
\(627\) 51480.3 + 686957.i 0.000208852 + 0.00278693i
\(628\) 3.71117e7 + 3.99969e7i 0.149842 + 0.161491i
\(629\) −3.56118e8 + 8.12817e7i −1.43101 + 0.326618i
\(630\) −7.39058e7 + 4.90333e8i −0.295567 + 1.96096i
\(631\) −2.64684e8 + 3.88220e8i −1.05351 + 1.54522i −0.233931 + 0.972253i \(0.575159\pi\)
−0.819581 + 0.572964i \(0.805794\pi\)
\(632\) 1.05795e7 + 3.42980e7i 0.0419097 + 0.135868i
\(633\) −1.01579e6 + 1.35548e7i −0.00400491 + 0.0534418i
\(634\) 1.61059e8 1.28441e8i 0.632002 0.504005i
\(635\) 4.42533e7 1.43466e8i 0.172832 0.560308i
\(636\) 1.58207e7 + 6.20917e6i 0.0614971 + 0.0241358i
\(637\) −1.37040e7 + 6.00410e7i −0.0530185 + 0.232289i
\(638\) −9.84098e6 1.70451e7i −0.0378945 0.0656352i
\(639\) 9.07570e7 + 5.23986e7i 0.347839 + 0.200825i
\(640\) 1.46920e8 + 1.36322e8i 0.560455 + 0.520026i
\(641\) −5.32297e7 4.24493e7i −0.202106 0.161175i 0.517207 0.855861i \(-0.326972\pi\)
−0.719313 + 0.694686i \(0.755543\pi\)
\(642\) 1.43238e7 9.76580e6i 0.0541319 0.0369065i
\(643\) 1.02098e8 4.91679e7i 0.384047 0.184947i −0.231891 0.972742i \(-0.574491\pi\)
0.615938 + 0.787794i \(0.288777\pi\)
\(644\) 2.03076e8i 0.760327i
\(645\) −2.63900e7 868247.i −0.0983469 0.00323567i
\(646\) 4.17206e8 1.54758
\(647\) 1.80046e8 + 3.73869e8i 0.664768 + 1.38040i 0.911492 + 0.411318i \(0.134932\pi\)
−0.246724 + 0.969086i \(0.579354\pi\)
\(648\) −3.55064e7 5.20783e7i −0.130491 0.191396i
\(649\) 1.60742e7 2.01564e7i 0.0588024 0.0737359i
\(650\) −3.44537e8 + 3.71322e8i −1.25457 + 1.35211i
\(651\) −8.52699e6 + 1.47692e7i −0.0309067 + 0.0535320i
\(652\) −5.13564e8 + 2.96506e8i −1.85290 + 1.06977i
\(653\) 1.18872e8 + 2.71317e7i 0.426913 + 0.0974401i 0.430578 0.902553i \(-0.358310\pi\)
−0.00366536 + 0.999993i \(0.501167\pi\)
\(654\) 237530. 605217.i 0.000849152 0.00216360i
\(655\) −1.75320e8 5.40789e7i −0.623888 0.192444i
\(656\) −2.23291e8 2.79998e8i −0.790969 0.991844i
\(657\) 2.91542e8 + 2.18480e7i 1.02803 + 0.0770400i
\(658\) −3.34014e8 + 1.03030e8i −1.17243 + 0.361647i
\(659\) 2.79559e8 + 1.90600e8i 0.976827 + 0.665990i 0.942775 0.333430i \(-0.108206\pi\)
0.0340528 + 0.999420i \(0.489159\pi\)
\(660\) −2.57975e6 388835.i −0.00897318 0.00135249i
\(661\) −3.20991e7 1.40635e8i −0.111145 0.486956i −0.999608 0.0280081i \(-0.991084\pi\)
0.888463 0.458948i \(-0.151774\pi\)
\(662\) 3.32532e8 3.08544e8i 1.14620 1.06352i
\(663\) 2.23161e7 1.67236e6i 0.0765733 0.00573837i
\(664\) 6.66750e7 2.61680e7i 0.227750 0.0893854i
\(665\) −3.50504e7 2.32544e8i −0.119187 0.790753i
\(666\) −3.20715e8 1.54448e8i −1.08567 0.522829i
\(667\) 6.68508e7 1.38817e8i 0.225283 0.467805i
\(668\) −3.32087e8 + 5.00540e7i −1.11409 + 0.167923i
\(669\) 8.51008e6 + 2.16833e7i 0.0284220 + 0.0724182i
\(670\) 8.47397e7 + 1.13077e9i 0.281749 + 3.75968i
\(671\) −1.00244e7 1.08038e7i −0.0331812 0.0357609i
\(672\) −2.06474e7 + 4.71264e6i −0.0680390 + 0.0155295i
\(673\) 6.77641e6 4.49585e7i 0.0222308 0.147491i −0.974962 0.222373i \(-0.928620\pi\)
0.997192 + 0.0748815i \(0.0238578\pi\)
\(674\) 3.25592e8 4.77556e8i 1.06339 1.55971i
\(675\) 1.86819e7 + 6.05652e7i 0.0607448 + 0.196930i
\(676\) 1.27527e7 1.70173e8i 0.0412821 0.550872i
\(677\) −2.18294e8 + 1.74084e8i −0.703520 + 0.561038i −0.908580 0.417711i \(-0.862832\pi\)
0.205060 + 0.978749i \(0.434261\pi\)
\(678\) −6.52564e6 + 2.11556e7i −0.0209379 + 0.0678791i
\(679\) 3.20000e7 + 1.25591e7i 0.102221 + 0.0401188i
\(680\) −4.83197e7 + 2.11702e8i −0.153673 + 0.673285i
\(681\) −1.45087e7 2.51298e7i −0.0459396 0.0795698i
\(682\) 4.07337e7 + 2.35176e7i 0.128411 + 0.0741379i
\(683\) −1.45772e8 1.35256e8i −0.457521 0.424517i 0.417445 0.908702i \(-0.362926\pi\)
−0.874966 + 0.484185i \(0.839116\pi\)
\(684\) 1.70663e8 + 1.36099e8i 0.533299 + 0.425292i
\(685\) −6.36797e8 + 4.34161e8i −1.98120 + 1.35076i
\(686\) 4.65296e8 2.24075e8i 1.44131 0.694097i
\(687\) 2.94519e7i 0.0908330i
\(688\) 8.88206e7 + 2.50208e8i 0.272740 + 0.768310i
\(689\) 2.26644e8 0.692925
\(690\) −1.65046e7 3.42723e7i −0.0502411 0.104327i
\(691\) −2.87725e8 4.22015e8i −0.872053 1.27907i −0.959159 0.282868i \(-0.908714\pi\)
0.0871056 0.996199i \(-0.472238\pi\)
\(692\) −1.83598e8 + 2.30225e8i −0.554051 + 0.694758i
\(693\) −1.46948e7 + 1.58372e7i −0.0441533 + 0.0475859i
\(694\) −1.81484e7 + 3.14339e7i −0.0542950 + 0.0940417i
\(695\) −6.48436e8 + 3.74375e8i −1.93158 + 1.11520i
\(696\) 2.96903e6 + 677661.i 0.00880616 + 0.00200995i
\(697\) 3.43337e8 8.74809e8i 1.01396 2.58354i
\(698\) 5.23822e8 + 1.61578e8i 1.54034 + 0.475133i
\(699\) 3.28962e6 + 4.12505e6i 0.00963195 + 0.0120781i
\(700\) 5.63385e8 + 4.22198e7i 1.64252 + 0.123090i
\(701\) −2.12573e8 + 6.55702e7i −0.617099 + 0.190350i −0.587516 0.809212i \(-0.699894\pi\)
−0.0295830 + 0.999562i \(0.509418\pi\)
\(702\) 3.61017e7 + 2.46137e7i 0.104356 + 0.0711485i
\(703\) 1.66934e8 + 2.51613e7i 0.480485 + 0.0724215i
\(704\) 7.96234e6 + 3.48853e7i 0.0228204 + 0.0999826i
\(705\) −2.57691e7 + 2.39102e7i −0.0735414 + 0.0682364i
\(706\) 9.47821e8 7.10294e7i 2.69347 0.201848i
\(707\) 4.06546e8 1.59558e8i 1.15041 0.451502i
\(708\) 4.32605e6 + 2.87015e7i 0.0121897 + 0.0808731i
\(709\) −3.19946e8 1.54078e8i −0.897715 0.432317i −0.0726521 0.997357i \(-0.523146\pi\)
−0.825063 + 0.565040i \(0.808861\pi\)
\(710\) 1.52111e8 3.15862e8i 0.424997 0.882515i
\(711\) 2.15073e8 3.24170e7i 0.598380 0.0901912i
\(712\) −2.29346e7 5.84365e7i −0.0635407 0.161899i
\(713\) 2.75159e7 + 3.67174e8i 0.0759128 + 1.01299i
\(714\) −3.16206e7 3.40789e7i −0.0868710 0.0936247i
\(715\) −3.39185e7 + 7.74169e6i −0.0927938 + 0.0211796i
\(716\) 2.45276e7 1.62730e8i 0.0668214 0.443331i
\(717\) −2.07912e7 + 3.04951e7i −0.0564055 + 0.0827317i
\(718\) 1.80089e7 + 5.83833e7i 0.0486533 + 0.157730i
\(719\) 5.86305e6 7.82370e7i 0.0157738 0.210487i −0.983748 0.179556i \(-0.942534\pi\)
0.999522 0.0309308i \(-0.00984714\pi\)
\(720\) 3.92052e8 3.12651e8i 1.05038 0.837650i
\(721\) 6.91267e7 2.24103e8i 0.184434 0.597919i
\(722\) 3.35336e8 + 1.31610e8i 0.890982 + 0.349685i
\(723\) −340119. + 1.49016e6i −0.000899945 + 0.00394292i
\(724\) 3.95102e6 + 6.84336e6i 0.0104110 + 0.0180324i
\(725\) 3.71216e8 + 2.14322e8i 0.974120 + 0.562409i
\(726\) 2.43713e7 + 2.26132e7i 0.0636895 + 0.0590953i
\(727\) −3.29773e8 2.62985e8i −0.858247 0.684429i 0.0920567 0.995754i \(-0.470656\pi\)
−0.950304 + 0.311325i \(0.899227\pi\)
\(728\) 4.42263e7 3.01530e7i 0.114627 0.0781513i
\(729\) −3.41661e8 + 1.64535e8i −0.881886 + 0.424694i
\(730\) 9.78035e8i 2.51412i
\(731\) −4.52071e8 + 5.30135e8i −1.15732 + 1.35717i
\(732\) 1.65929e7 0.0423048
\(733\) 9.52173e7 + 1.97721e8i 0.241771 + 0.502042i 0.986179 0.165682i \(-0.0529827\pi\)
−0.744408 + 0.667725i \(0.767268\pi\)
\(734\) −4.70066e8 6.89460e8i −1.18870 1.74350i
\(735\) 8.02203e6 1.00593e7i 0.0202033 0.0253341i
\(736\) −3.11011e8 + 3.35190e8i −0.780084 + 0.840731i
\(737\) −2.47022e7 + 4.27855e7i −0.0617069 + 0.106880i
\(738\) 7.93123e8 4.57910e8i 1.97320 1.13923i
\(739\) 1.90249e8 + 4.34230e7i 0.471399 + 0.107594i 0.451619 0.892211i \(-0.350847\pi\)
0.0197793 + 0.999804i \(0.493704\pi\)
\(740\) −2.33579e8 + 5.95149e8i −0.576418 + 1.46869i
\(741\) −9.88325e6 3.04858e6i −0.0242910 0.00749278i
\(742\) −2.93555e8 3.68106e8i −0.718584 0.901076i
\(743\) 6.17068e8 + 4.62429e7i 1.50441 + 0.112740i 0.801267 0.598307i \(-0.204160\pi\)
0.703145 + 0.711047i \(0.251779\pi\)
\(744\) −6.95442e6 + 2.14515e6i −0.0168866 + 0.00520882i
\(745\) −1.02057e8 6.95812e7i −0.246816 0.168276i
\(746\) −7.65828e8 1.15430e8i −1.84465 0.278037i
\(747\) −9.65833e7 4.23159e8i −0.231708 1.01518i
\(748\) −5.04627e7 + 4.68226e7i −0.120577 + 0.111880i
\(749\) −2.57128e8 + 1.92691e7i −0.611933 + 0.0458581i
\(750\) 4.17269e7 1.63766e7i 0.0989083 0.0388186i
\(751\) −1.86930e6 1.24020e7i −0.00441326 0.0292800i 0.986516 0.163666i \(-0.0523319\pi\)
−0.990929 + 0.134386i \(0.957094\pi\)
\(752\) 3.18473e8 + 1.53369e8i 0.748893 + 0.360648i
\(753\) −1.46254e7 + 3.03700e7i −0.0342550 + 0.0711312i
\(754\) 2.92200e8 4.40421e7i 0.681658 0.102743i
\(755\) 3.84037e8 + 9.78511e8i 0.892344 + 2.27366i
\(756\) −3.64185e6 4.85971e7i −0.00842863 0.112472i
\(757\) −5.23618e8 5.64326e8i −1.20706 1.30090i −0.941584 0.336777i \(-0.890663\pi\)
−0.265471 0.964119i \(-0.585527\pi\)
\(758\) 6.85200e8 1.56392e8i 1.57329 0.359094i
\(759\) 247011. 1.63881e6i 0.000564926 0.00374804i
\(760\) 5.65341e7 8.29203e7i 0.128786 0.188895i
\(761\) 1.93726e7 + 6.28044e7i 0.0439576 + 0.142507i 0.974891 0.222681i \(-0.0714809\pi\)
−0.930934 + 0.365188i \(0.881005\pi\)
\(762\) −1.02506e6 + 1.36785e7i −0.00231677 + 0.0309152i
\(763\) −7.56043e6 + 6.02924e6i −0.0170205 + 0.0135734i