Properties

Label 80.6.q.a.29.2
Level $80$
Weight $6$
Character 80.29
Analytic conductor $12.831$
Analytic rank $0$
Dimension $116$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 29.2
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.64889 + 0.300072i) q^{2} +(-16.1243 + 16.1243i) q^{3} +(31.8199 - 3.39015i) q^{4} +(33.0407 + 45.0922i) q^{5} +(86.2458 - 95.9226i) q^{6} +106.654 q^{7} +(-178.730 + 28.6988i) q^{8} -276.984i q^{9} +O(q^{10})\) \(q+(-5.64889 + 0.300072i) q^{2} +(-16.1243 + 16.1243i) q^{3} +(31.8199 - 3.39015i) q^{4} +(33.0407 + 45.0922i) q^{5} +(86.2458 - 95.9226i) q^{6} +106.654 q^{7} +(-178.730 + 28.6988i) q^{8} -276.984i q^{9} +(-200.174 - 244.806i) q^{10} +(507.841 - 507.841i) q^{11} +(-458.409 + 567.736i) q^{12} +(478.170 - 478.170i) q^{13} +(-602.476 + 32.0039i) q^{14} +(-1259.84 - 194.321i) q^{15} +(1001.01 - 215.748i) q^{16} +345.388i q^{17} +(83.1151 + 1564.65i) q^{18} +(1702.33 + 1702.33i) q^{19} +(1204.22 + 1322.82i) q^{20} +(-1719.72 + 1719.72i) q^{21} +(-2716.35 + 3021.12i) q^{22} +1767.61 q^{23} +(2419.14 - 3344.64i) q^{24} +(-941.619 + 2979.76i) q^{25} +(-2557.64 + 2844.61i) q^{26} +(547.964 + 547.964i) q^{27} +(3393.72 - 361.573i) q^{28} +(-3730.61 - 3730.61i) q^{29} +(7174.99 + 719.659i) q^{30} +9851.28 q^{31} +(-5589.88 + 1519.12i) q^{32} +16377.1i q^{33} +(-103.641 - 1951.06i) q^{34} +(3523.93 + 4809.26i) q^{35} +(-939.016 - 8813.60i) q^{36} +(-4215.21 - 4215.21i) q^{37} +(-10127.1 - 9105.43i) q^{38} +15420.3i q^{39} +(-7199.46 - 7111.10i) q^{40} +2726.90i q^{41} +(9198.45 - 10230.5i) q^{42} +(-1660.98 - 1660.98i) q^{43} +(14437.8 - 17881.1i) q^{44} +(12489.8 - 9151.75i) q^{45} +(-9985.04 + 530.411i) q^{46} +9102.04i q^{47} +(-12661.8 + 19619.4i) q^{48} -5431.94 q^{49} +(4424.96 - 17114.9i) q^{50} +(-5569.12 - 5569.12i) q^{51} +(13594.2 - 16836.4i) q^{52} +(-9650.20 - 9650.20i) q^{53} +(-3259.82 - 2930.96i) q^{54} +(39679.1 + 6120.24i) q^{55} +(-19062.2 + 3060.84i) q^{56} -54897.5 q^{57} +(22193.3 + 19954.4i) q^{58} +(-23709.2 + 23709.2i) q^{59} +(-40746.7 - 1912.26i) q^{60} +(20219.1 + 20219.1i) q^{61} +(-55648.8 + 2956.09i) q^{62} -29541.4i q^{63} +(31120.8 - 10258.7i) q^{64} +(37360.8 + 5762.66i) q^{65} +(-4914.31 - 92512.5i) q^{66} +(35679.2 - 35679.2i) q^{67} +(1170.92 + 10990.2i) q^{68} +(-28501.4 + 28501.4i) q^{69} +(-21349.4 - 26109.6i) q^{70} -29193.4i q^{71} +(7949.11 + 49505.3i) q^{72} +11534.8 q^{73} +(25076.1 + 22546.4i) q^{74} +(-32863.6 - 63229.4i) q^{75} +(59939.0 + 48396.7i) q^{76} +(54163.2 - 54163.2i) q^{77} +(-4627.19 - 87107.4i) q^{78} -41167.8 q^{79} +(42802.8 + 38009.5i) q^{80} +49636.0 q^{81} +(-818.266 - 15403.9i) q^{82} +(-17752.6 + 17752.6i) q^{83} +(-48891.1 + 60551.3i) q^{84} +(-15574.3 + 11411.9i) q^{85} +(9881.08 + 8884.25i) q^{86} +120307. q^{87} +(-76191.9 + 105341. i) q^{88} +90461.0i q^{89} +(-67807.4 + 55445.1i) q^{90} +(50998.7 - 50998.7i) q^{91} +(56245.2 - 5992.46i) q^{92} +(-158845. + 158845. i) q^{93} +(-2731.27 - 51416.4i) q^{94} +(-20515.6 + 133008. i) q^{95} +(65638.0 - 114627. i) q^{96} +65282.8i q^{97} +(30684.4 - 1629.97i) q^{98} +(-140664. - 140664. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.64889 + 0.300072i −0.998592 + 0.0530457i
\(3\) −16.1243 + 16.1243i −1.03437 + 1.03437i −0.0349842 + 0.999388i \(0.511138\pi\)
−0.999388 + 0.0349842i \(0.988862\pi\)
\(4\) 31.8199 3.39015i 0.994372 0.105942i
\(5\) 33.0407 + 45.0922i 0.591051 + 0.806634i
\(6\) 86.2458 95.9226i 0.978047 1.08778i
\(7\) 106.654 0.822682 0.411341 0.911482i \(-0.365061\pi\)
0.411341 + 0.911482i \(0.365061\pi\)
\(8\) −178.730 + 28.6988i −0.987353 + 0.158540i
\(9\) 276.984i 1.13985i
\(10\) −200.174 244.806i −0.633007 0.774146i
\(11\) 507.841 507.841i 1.26545 1.26545i 0.317040 0.948412i \(-0.397311\pi\)
0.948412 0.317040i \(-0.102689\pi\)
\(12\) −458.409 + 567.736i −0.918967 + 1.13813i
\(13\) 478.170 478.170i 0.784736 0.784736i −0.195890 0.980626i \(-0.562760\pi\)
0.980626 + 0.195890i \(0.0627595\pi\)
\(14\) −602.476 + 32.0039i −0.821523 + 0.0436398i
\(15\) −1259.84 194.321i −1.44573 0.222994i
\(16\) 1001.01 215.748i 0.977553 0.210692i
\(17\) 345.388i 0.289858i 0.989442 + 0.144929i \(0.0462953\pi\)
−0.989442 + 0.144929i \(0.953705\pi\)
\(18\) 83.1151 + 1564.65i 0.0604643 + 1.13825i
\(19\) 1702.33 + 1702.33i 1.08183 + 1.08183i 0.996339 + 0.0854897i \(0.0272455\pi\)
0.0854897 + 0.996339i \(0.472755\pi\)
\(20\) 1204.22 + 1322.82i 0.673181 + 0.739478i
\(21\) −1719.72 + 1719.72i −0.850959 + 0.850959i
\(22\) −2716.35 + 3021.12i −1.19654 + 1.33080i
\(23\) 1767.61 0.696734 0.348367 0.937358i \(-0.386736\pi\)
0.348367 + 0.937358i \(0.386736\pi\)
\(24\) 2419.14 3344.64i 0.857300 1.18528i
\(25\) −941.619 + 2979.76i −0.301318 + 0.953524i
\(26\) −2557.64 + 2844.61i −0.742004 + 0.825258i
\(27\) 547.964 + 547.964i 0.144658 + 0.144658i
\(28\) 3393.72 361.573i 0.818052 0.0871567i
\(29\) −3730.61 3730.61i −0.823730 0.823730i 0.162911 0.986641i \(-0.447912\pi\)
−0.986641 + 0.162911i \(0.947912\pi\)
\(30\) 7174.99 + 719.659i 1.45552 + 0.145990i
\(31\) 9851.28 1.84115 0.920574 0.390569i \(-0.127722\pi\)
0.920574 + 0.390569i \(0.127722\pi\)
\(32\) −5589.88 + 1519.12i −0.965000 + 0.262250i
\(33\) 16377.1i 2.61790i
\(34\) −103.641 1951.06i −0.0153757 0.289449i
\(35\) 3523.93 + 4809.26i 0.486247 + 0.663603i
\(36\) −939.016 8813.60i −0.120758 1.13344i
\(37\) −4215.21 4215.21i −0.506191 0.506191i 0.407164 0.913355i \(-0.366518\pi\)
−0.913355 + 0.407164i \(0.866518\pi\)
\(38\) −10127.1 9105.43i −1.13769 1.02292i
\(39\) 15420.3i 1.62342i
\(40\) −7199.46 7111.10i −0.711459 0.702727i
\(41\) 2726.90i 0.253343i 0.991945 + 0.126672i \(0.0404294\pi\)
−0.991945 + 0.126672i \(0.959571\pi\)
\(42\) 9198.45 10230.5i 0.804621 0.894901i
\(43\) −1660.98 1660.98i −0.136991 0.136991i 0.635286 0.772277i \(-0.280882\pi\)
−0.772277 + 0.635286i \(0.780882\pi\)
\(44\) 14437.8 17881.1i 1.12427 1.39240i
\(45\) 12489.8 9151.75i 0.919443 0.673710i
\(46\) −9985.04 + 530.411i −0.695753 + 0.0369588i
\(47\) 9102.04i 0.601027i 0.953778 + 0.300513i \(0.0971580\pi\)
−0.953778 + 0.300513i \(0.902842\pi\)
\(48\) −12661.8 + 19619.4i −0.793219 + 1.22909i
\(49\) −5431.94 −0.323195
\(50\) 4424.96 17114.9i 0.250313 0.968165i
\(51\) −5569.12 5569.12i −0.299821 0.299821i
\(52\) 13594.2 16836.4i 0.697183 0.863456i
\(53\) −9650.20 9650.20i −0.471896 0.471896i 0.430632 0.902528i \(-0.358291\pi\)
−0.902528 + 0.430632i \(0.858291\pi\)
\(54\) −3259.82 2930.96i −0.152128 0.136781i
\(55\) 39679.1 + 6120.24i 1.76870 + 0.272811i
\(56\) −19062.2 + 3060.84i −0.812277 + 0.130428i
\(57\) −54897.5 −2.23803
\(58\) 22193.3 + 19954.4i 0.866266 + 0.778875i
\(59\) −23709.2 + 23709.2i −0.886720 + 0.886720i −0.994207 0.107487i \(-0.965720\pi\)
0.107487 + 0.994207i \(0.465720\pi\)
\(60\) −40746.7 1912.26i −1.46121 0.0685754i
\(61\) 20219.1 + 20219.1i 0.695724 + 0.695724i 0.963485 0.267761i \(-0.0862839\pi\)
−0.267761 + 0.963485i \(0.586284\pi\)
\(62\) −55648.8 + 2956.09i −1.83856 + 0.0976650i
\(63\) 29541.4i 0.937735i
\(64\) 31120.8 10258.7i 0.949730 0.313070i
\(65\) 37360.8 + 5762.66i 1.09681 + 0.169176i
\(66\) −4914.31 92512.5i −0.138868 2.61421i
\(67\) 35679.2 35679.2i 0.971019 0.971019i −0.0285729 0.999592i \(-0.509096\pi\)
0.999592 + 0.0285729i \(0.00909628\pi\)
\(68\) 1170.92 + 10990.2i 0.0307081 + 0.288226i
\(69\) −28501.4 + 28501.4i −0.720682 + 0.720682i
\(70\) −21349.4 26109.6i −0.520763 0.636876i
\(71\) 29193.4i 0.687289i −0.939100 0.343644i \(-0.888338\pi\)
0.939100 0.343644i \(-0.111662\pi\)
\(72\) 7949.11 + 49505.3i 0.180712 + 1.12543i
\(73\) 11534.8 0.253339 0.126669 0.991945i \(-0.459571\pi\)
0.126669 + 0.991945i \(0.459571\pi\)
\(74\) 25076.1 + 22546.4i 0.532330 + 0.478627i
\(75\) −32863.6 63229.4i −0.674623 1.29797i
\(76\) 59939.0 + 48396.7i 1.19035 + 0.961129i
\(77\) 54163.2 54163.2i 1.04106 1.04106i
\(78\) −4627.19 87107.4i −0.0861154 1.62113i
\(79\) −41167.8 −0.742146 −0.371073 0.928604i \(-0.621010\pi\)
−0.371073 + 0.928604i \(0.621010\pi\)
\(80\) 42802.8 + 38009.5i 0.747734 + 0.663998i
\(81\) 49636.0 0.840591
\(82\) −818.266 15403.9i −0.0134388 0.252987i
\(83\) −17752.6 + 17752.6i −0.282857 + 0.282857i −0.834247 0.551391i \(-0.814097\pi\)
0.551391 + 0.834247i \(0.314097\pi\)
\(84\) −48891.1 + 60551.3i −0.756018 + 0.936322i
\(85\) −15574.3 + 11411.9i −0.233809 + 0.171321i
\(86\) 9881.08 + 8884.25i 0.144065 + 0.129531i
\(87\) 120307. 1.70409
\(88\) −76191.9 + 105341.i −1.04882 + 1.45007i
\(89\) 90461.0i 1.21056i 0.796013 + 0.605280i \(0.206939\pi\)
−0.796013 + 0.605280i \(0.793061\pi\)
\(90\) −67807.4 + 55445.1i −0.882411 + 0.721534i
\(91\) 50998.7 50998.7i 0.645588 0.645588i
\(92\) 56245.2 5992.46i 0.692813 0.0738135i
\(93\) −158845. + 158845.i −1.90443 + 1.90443i
\(94\) −2731.27 51416.4i −0.0318819 0.600181i
\(95\) −20515.6 + 133008.i −0.233225 + 1.51206i
\(96\) 65638.0 114627.i 0.726905 1.26943i
\(97\) 65282.8i 0.704481i 0.935909 + 0.352241i \(0.114580\pi\)
−0.935909 + 0.352241i \(0.885420\pi\)
\(98\) 30684.4 1629.97i 0.322740 0.0171441i
\(99\) −140664. 140664.i −1.44243 1.44243i
\(100\) −19860.4 + 98008.0i −0.198604 + 0.980080i
\(101\) 19875.6 19875.6i 0.193872 0.193872i −0.603495 0.797367i \(-0.706226\pi\)
0.797367 + 0.603495i \(0.206226\pi\)
\(102\) 33130.5 + 29788.2i 0.315303 + 0.283494i
\(103\) 92076.8 0.855179 0.427590 0.903973i \(-0.359363\pi\)
0.427590 + 0.903973i \(0.359363\pi\)
\(104\) −71740.3 + 99186.1i −0.650399 + 0.899223i
\(105\) −134367. 20725.1i −1.18937 0.183453i
\(106\) 57408.7 + 51617.2i 0.496264 + 0.446200i
\(107\) 77619.1 + 77619.1i 0.655404 + 0.655404i 0.954289 0.298885i \(-0.0966147\pi\)
−0.298885 + 0.954289i \(0.596615\pi\)
\(108\) 19293.8 + 15578.5i 0.159169 + 0.128519i
\(109\) −58363.6 58363.6i −0.470518 0.470518i 0.431564 0.902082i \(-0.357962\pi\)
−0.902082 + 0.431564i \(0.857962\pi\)
\(110\) −225979. 22666.0i −1.78068 0.178604i
\(111\) 135934. 1.04718
\(112\) 106762. 23010.4i 0.804215 0.173332i
\(113\) 27760.2i 0.204516i 0.994758 + 0.102258i \(0.0326067\pi\)
−0.994758 + 0.102258i \(0.967393\pi\)
\(114\) 310110. 16473.2i 2.23488 0.118718i
\(115\) 58403.2 + 79705.5i 0.411805 + 0.562010i
\(116\) −131355. 106060.i −0.906362 0.731827i
\(117\) −132445. 132445.i −0.894482 0.894482i
\(118\) 126816. 141045.i 0.838435 0.932508i
\(119\) 36837.0i 0.238461i
\(120\) 230747. 1424.80i 1.46280 0.00903237i
\(121\) 354753.i 2.20274i
\(122\) −120283. 108148.i −0.731649 0.657839i
\(123\) −43969.2 43969.2i −0.262051 0.262051i
\(124\) 313467. 33397.3i 1.83079 0.195055i
\(125\) −165476. + 55993.8i −0.947239 + 0.320527i
\(126\) 8864.55 + 166876.i 0.0497428 + 0.936414i
\(127\) 106682.i 0.586925i −0.955971 0.293463i \(-0.905192\pi\)
0.955971 0.293463i \(-0.0948077\pi\)
\(128\) −172719. + 67288.6i −0.931786 + 0.363008i
\(129\) 53564.0 0.283399
\(130\) −212776. 21341.7i −1.10424 0.110757i
\(131\) −177951. 177951.i −0.905985 0.905985i 0.0899603 0.995945i \(-0.471326\pi\)
−0.995945 + 0.0899603i \(0.971326\pi\)
\(132\) 55520.8 + 521118.i 0.277346 + 2.60316i
\(133\) 181560. + 181560.i 0.890001 + 0.890001i
\(134\) −190841. + 212254.i −0.918143 + 1.02116i
\(135\) −6603.78 + 42814.1i −0.0311859 + 0.202186i
\(136\) −9912.23 61731.1i −0.0459541 0.286192i
\(137\) −42919.9 −0.195370 −0.0976848 0.995217i \(-0.531144\pi\)
−0.0976848 + 0.995217i \(0.531144\pi\)
\(138\) 152449. 169554.i 0.681438 0.757897i
\(139\) 67513.6 67513.6i 0.296384 0.296384i −0.543212 0.839596i \(-0.682792\pi\)
0.839596 + 0.543212i \(0.182792\pi\)
\(140\) 128435. + 141084.i 0.553814 + 0.608355i
\(141\) −146764. 146764.i −0.621685 0.621685i
\(142\) 8760.13 + 164911.i 0.0364578 + 0.686321i
\(143\) 485668.i 1.98609i
\(144\) −59758.8 277265.i −0.240157 1.11426i
\(145\) 44959.4 291484.i 0.177583 1.15132i
\(146\) −65158.6 + 3461.26i −0.252982 + 0.0134385i
\(147\) 87586.0 87586.0i 0.334304 0.334304i
\(148\) −148418. 119837.i −0.556970 0.449716i
\(149\) −111062. + 111062.i −0.409826 + 0.409826i −0.881678 0.471852i \(-0.843586\pi\)
0.471852 + 0.881678i \(0.343586\pi\)
\(150\) 204616. + 347314.i 0.742525 + 1.26036i
\(151\) 450545.i 1.60804i 0.594605 + 0.804018i \(0.297309\pi\)
−0.594605 + 0.804018i \(0.702691\pi\)
\(152\) −353111. 255402.i −1.23966 0.896633i
\(153\) 95666.8 0.330394
\(154\) −289709. + 322215.i −0.984375 + 1.09482i
\(155\) 325494. + 444216.i 1.08821 + 1.48513i
\(156\) 52277.0 + 490672.i 0.171988 + 1.61428i
\(157\) 44772.2 44772.2i 0.144964 0.144964i −0.630900 0.775864i \(-0.717314\pi\)
0.775864 + 0.630900i \(0.217314\pi\)
\(158\) 232552. 12353.3i 0.741102 0.0393677i
\(159\) 311205. 0.976233
\(160\) −253194. 201867.i −0.781904 0.623399i
\(161\) 188523. 0.573190
\(162\) −280388. + 14894.4i −0.839407 + 0.0445898i
\(163\) 360485. 360485.i 1.06272 1.06272i 0.0648203 0.997897i \(-0.479353\pi\)
0.997897 0.0648203i \(-0.0206474\pi\)
\(164\) 9244.59 + 86769.7i 0.0268397 + 0.251917i
\(165\) −738481. + 541112.i −2.11169 + 1.54731i
\(166\) 94955.3 105609.i 0.267454 0.297463i
\(167\) −446604. −1.23917 −0.619586 0.784929i \(-0.712700\pi\)
−0.619586 + 0.784929i \(0.712700\pi\)
\(168\) 258011. 356719.i 0.705285 0.975108i
\(169\) 85999.4i 0.231621i
\(170\) 84553.2 69137.8i 0.224392 0.183482i
\(171\) 471517. 471517.i 1.23312 1.23312i
\(172\) −58483.0 47221.1i −0.150733 0.121707i
\(173\) −125328. + 125328.i −0.318370 + 0.318370i −0.848141 0.529771i \(-0.822278\pi\)
0.529771 + 0.848141i \(0.322278\pi\)
\(174\) −679599. + 36100.7i −1.70169 + 0.0903945i
\(175\) −100427. + 317803.i −0.247889 + 0.784446i
\(176\) 398790. 617921.i 0.970426 1.50367i
\(177\) 764586.i 1.83440i
\(178\) −27144.8 511004.i −0.0642151 1.20886i
\(179\) −141618. 141618.i −0.330359 0.330359i 0.522364 0.852723i \(-0.325050\pi\)
−0.852723 + 0.522364i \(0.825050\pi\)
\(180\) 366399. 333550.i 0.842894 0.767326i
\(181\) 140546. 140546.i 0.318877 0.318877i −0.529459 0.848336i \(-0.677605\pi\)
0.848336 + 0.529459i \(0.177605\pi\)
\(182\) −272783. + 303389.i −0.610433 + 0.678925i
\(183\) −652036. −1.43927
\(184\) −315925. + 50728.4i −0.687922 + 0.110460i
\(185\) 50799.5 329347.i 0.109127 0.707496i
\(186\) 849631. 944961.i 1.80073 2.00277i
\(187\) 175402. + 175402.i 0.366801 + 0.366801i
\(188\) 30857.3 + 289626.i 0.0636741 + 0.597645i
\(189\) 58442.5 + 58442.5i 0.119008 + 0.119008i
\(190\) 75978.2 757502.i 0.152688 1.52230i
\(191\) −188620. −0.374114 −0.187057 0.982349i \(-0.559895\pi\)
−0.187057 + 0.982349i \(0.559895\pi\)
\(192\) −336386. + 667213.i −0.658543 + 1.30621i
\(193\) 545101.i 1.05338i 0.850058 + 0.526688i \(0.176567\pi\)
−0.850058 + 0.526688i \(0.823433\pi\)
\(194\) −19589.5 368775.i −0.0373697 0.703489i
\(195\) −695334. + 509497.i −1.30950 + 0.959522i
\(196\) −172844. + 18415.1i −0.321376 + 0.0342399i
\(197\) 321818. + 321818.i 0.590806 + 0.590806i 0.937849 0.347043i \(-0.112814\pi\)
−0.347043 + 0.937849i \(0.612814\pi\)
\(198\) 836803. + 752384.i 1.51691 + 1.36388i
\(199\) 848271.i 1.51846i 0.650825 + 0.759228i \(0.274423\pi\)
−0.650825 + 0.759228i \(0.725577\pi\)
\(200\) 82779.7 559596.i 0.146335 0.989235i
\(201\) 1.15060e6i 2.00879i
\(202\) −106311. + 118239.i −0.183315 + 0.203884i
\(203\) −397884. 397884.i −0.677668 0.677668i
\(204\) −196089. 158329.i −0.329897 0.266370i
\(205\) −122962. + 90098.7i −0.204355 + 0.149739i
\(206\) −520132. + 27629.7i −0.853975 + 0.0453636i
\(207\) 489600.i 0.794173i
\(208\) 375490. 581819.i 0.601783 0.932458i
\(209\) 1.72902e6 2.73801
\(210\) 765241. + 76754.4i 1.19743 + 0.120103i
\(211\) −656915. 656915.i −1.01579 1.01579i −0.999873 0.0159151i \(-0.994934\pi\)
−0.0159151 0.999873i \(-0.505066\pi\)
\(212\) −339784. 274353.i −0.519234 0.419247i
\(213\) 470723. + 470723.i 0.710912 + 0.710912i
\(214\) −461753. 415170.i −0.689248 0.619715i
\(215\) 20017.2 129777.i 0.0295330 0.191470i
\(216\) −113663. 82211.6i −0.165763 0.119894i
\(217\) 1.05068e6 1.51468
\(218\) 347203. + 312176.i 0.494814 + 0.444896i
\(219\) −185989. + 185989.i −0.262046 + 0.262046i
\(220\) 1.28333e6 + 60227.4i 1.78765 + 0.0838953i
\(221\) 165154. + 165154.i 0.227462 + 0.227462i
\(222\) −767878. + 40790.1i −1.04571 + 0.0555485i
\(223\) 1.29876e6i 1.74891i 0.485105 + 0.874456i \(0.338781\pi\)
−0.485105 + 0.874456i \(0.661219\pi\)
\(224\) −596182. + 162020.i −0.793888 + 0.215748i
\(225\) 825346. + 260813.i 1.08688 + 0.343458i
\(226\) −8330.06 156814.i −0.0108487 0.204228i
\(227\) −165088. + 165088.i −0.212643 + 0.212643i −0.805389 0.592746i \(-0.798044\pi\)
0.592746 + 0.805389i \(0.298044\pi\)
\(228\) −1.74683e6 + 186111.i −2.22543 + 0.237101i
\(229\) −128962. + 128962.i −0.162508 + 0.162508i −0.783677 0.621169i \(-0.786658\pi\)
0.621169 + 0.783677i \(0.286658\pi\)
\(230\) −353830. 432723.i −0.441038 0.539374i
\(231\) 1.74668e6i 2.15370i
\(232\) 773836. + 559707.i 0.943906 + 0.682718i
\(233\) −157099. −0.189576 −0.0947882 0.995497i \(-0.530217\pi\)
−0.0947882 + 0.995497i \(0.530217\pi\)
\(234\) 787912. + 708425.i 0.940671 + 0.845774i
\(235\) −410431. + 300738.i −0.484809 + 0.355237i
\(236\) −674046. + 834802.i −0.787789 + 0.975671i
\(237\) 663800. 663800.i 0.767656 0.767656i
\(238\) −11053.7 208088.i −0.0126493 0.238125i
\(239\) 108661. 0.123049 0.0615245 0.998106i \(-0.480404\pi\)
0.0615245 + 0.998106i \(0.480404\pi\)
\(240\) −1.30304e6 + 77289.4i −1.46026 + 0.0866147i
\(241\) −1.27264e6 −1.41145 −0.705724 0.708487i \(-0.749378\pi\)
−0.705724 + 0.708487i \(0.749378\pi\)
\(242\) 106452. + 2.00396e6i 0.116846 + 2.19964i
\(243\) −933500. + 933500.i −1.01414 + 1.01414i
\(244\) 711915. + 574824.i 0.765515 + 0.618102i
\(245\) −179475. 244938.i −0.191025 0.260700i
\(246\) 261571. + 235183.i 0.275583 + 0.247781i
\(247\) 1.62800e6 1.69790
\(248\) −1.76072e6 + 282720.i −1.81786 + 0.291896i
\(249\) 572495.i 0.585158i
\(250\) 917953. 365958.i 0.928903 0.370323i
\(251\) −66016.5 + 66016.5i −0.0661406 + 0.0661406i −0.739403 0.673263i \(-0.764892\pi\)
0.673263 + 0.739403i \(0.264892\pi\)
\(252\) −100150. 940005.i −0.0993456 0.932457i
\(253\) 897665. 897665.i 0.881684 0.881684i
\(254\) 32012.4 + 602636.i 0.0311339 + 0.586099i
\(255\) 67116.2 435132.i 0.0646364 0.419055i
\(256\) 955481. 431934.i 0.911218 0.411925i
\(257\) 1.74381e6i 1.64690i −0.567390 0.823449i \(-0.692047\pi\)
0.567390 0.823449i \(-0.307953\pi\)
\(258\) −302577. + 16073.1i −0.283000 + 0.0150331i
\(259\) −449569. 449569.i −0.416434 0.416434i
\(260\) 1.20835e6 + 56708.6i 1.10856 + 0.0520254i
\(261\) −1.03332e6 + 1.03332e6i −0.938930 + 0.938930i
\(262\) 1.05862e6 + 951825.i 0.952768 + 0.856651i
\(263\) 724361. 0.645752 0.322876 0.946441i \(-0.395350\pi\)
0.322876 + 0.946441i \(0.395350\pi\)
\(264\) −470004. 2.92708e6i −0.415042 2.58479i
\(265\) 116299. 753999.i 0.101733 0.659562i
\(266\) −1.08009e6 971130.i −0.935958 0.841537i
\(267\) −1.45862e6 1.45862e6i −1.25217 1.25217i
\(268\) 1.01435e6 1.25627e6i 0.862682 1.06843i
\(269\) 352734. + 352734.i 0.297213 + 0.297213i 0.839921 0.542709i \(-0.182601\pi\)
−0.542709 + 0.839921i \(0.682601\pi\)
\(270\) 24456.7 243834.i 0.0204169 0.203556i
\(271\) 1.98947e6 1.64556 0.822779 0.568361i \(-0.192422\pi\)
0.822779 + 0.568361i \(0.192422\pi\)
\(272\) 74516.9 + 345738.i 0.0610706 + 0.283351i
\(273\) 1.64463e6i 1.33556i
\(274\) 242450. 12879.1i 0.195095 0.0103635i
\(275\) 1.03505e6 + 1.99144e6i 0.825335 + 1.58794i
\(276\) −810289. + 1.00354e6i −0.640276 + 0.792977i
\(277\) −307696. 307696.i −0.240948 0.240948i 0.576294 0.817242i \(-0.304498\pi\)
−0.817242 + 0.576294i \(0.804498\pi\)
\(278\) −361118. + 401636.i −0.280245 + 0.311688i
\(279\) 2.72865e6i 2.09863i
\(280\) −767851. 758427.i −0.585305 0.578121i
\(281\) 1.74500e6i 1.31834i −0.751992 0.659172i \(-0.770907\pi\)
0.751992 0.659172i \(-0.229093\pi\)
\(282\) 873091. + 785012.i 0.653788 + 0.587832i
\(283\) −1.53254e6 1.53254e6i −1.13748 1.13748i −0.988900 0.148582i \(-0.952529\pi\)
−0.148582 0.988900i \(1.45253\pi\)
\(284\) −98970.1 928933.i −0.0728129 0.683421i
\(285\) −1.81385e6 2.47545e6i −1.32279 1.80527i
\(286\) 145735. + 2.74348e6i 0.105354 + 1.98330i
\(287\) 290834.i 0.208421i
\(288\) 420770. + 1.54831e6i 0.298926 + 1.09996i
\(289\) 1.30056e6 0.915983
\(290\) −166505. + 1.66005e6i −0.116260 + 1.15911i
\(291\) −1.05264e6 1.05264e6i −0.728696 0.728696i
\(292\) 367035. 39104.5i 0.251913 0.0268392i
\(293\) −539237. 539237.i −0.366953 0.366953i 0.499412 0.866365i \(-0.333550\pi\)
−0.866365 + 0.499412i \(0.833550\pi\)
\(294\) −468481. + 521046.i −0.316100 + 0.351566i
\(295\) −1.85247e6 285731.i −1.23936 0.191162i
\(296\) 874355. + 632412.i 0.580041 + 0.419538i
\(297\) 556557. 0.366116
\(298\) 594049. 660702.i 0.387509 0.430988i
\(299\) 845218. 845218.i 0.546752 0.546752i
\(300\) −1.26007e6 1.90054e6i −0.808337 1.21920i
\(301\) −177150. 177150.i −0.112700 0.112700i
\(302\) −135196. 2.54508e6i −0.0852995 1.60577i
\(303\) 640958.i 0.401072i
\(304\) 2.07132e6 + 1.33678e6i 1.28548 + 0.829612i
\(305\) −243670. + 1.57978e6i −0.149987 + 0.972403i
\(306\) −540411. + 28706.9i −0.329929 + 0.0175260i
\(307\) 859969. 859969.i 0.520759 0.520759i −0.397041 0.917801i \(-0.629963\pi\)
0.917801 + 0.397041i \(0.129963\pi\)
\(308\) 1.53985e6 1.90709e6i 0.924913 1.14550i
\(309\) −1.48467e6 + 1.48467e6i −0.884573 + 0.884573i
\(310\) −1.97197e6 2.41166e6i −1.16546 1.42532i
\(311\) 2.83767e6i 1.66364i 0.555043 + 0.831822i \(0.312702\pi\)
−0.555043 + 0.831822i \(0.687298\pi\)
\(312\) −442544. 2.75606e6i −0.257377 1.60289i
\(313\) −944802. −0.545104 −0.272552 0.962141i \(-0.587868\pi\)
−0.272552 + 0.962141i \(0.587868\pi\)
\(314\) −239478. + 266348.i −0.137070 + 0.152449i
\(315\) 1.33209e6 976070.i 0.756409 0.554249i
\(316\) −1.30995e6 + 139565.i −0.737970 + 0.0786246i
\(317\) 785638. 785638.i 0.439111 0.439111i −0.452602 0.891713i \(-0.649504\pi\)
0.891713 + 0.452602i \(0.149504\pi\)
\(318\) −1.75796e6 + 93383.8i −0.974858 + 0.0517850i
\(319\) −3.78911e6 −2.08478
\(320\) 1.49084e6 + 1.06435e6i 0.813872 + 0.581045i
\(321\) −2.50310e6 −1.35586
\(322\) −1.06494e6 + 56570.4i −0.572383 + 0.0304053i
\(323\) −587962. + 587962.i −0.313576 + 0.313576i
\(324\) 1.57941e6 168274.i 0.835860 0.0890540i
\(325\) 974578. + 1.87508e6i 0.511809 + 0.984720i
\(326\) −1.92817e6 + 2.14451e6i −1.00485 + 1.11759i
\(327\) 1.88214e6 0.973381
\(328\) −78258.8 487378.i −0.0401651 0.250139i
\(329\) 970768.i 0.494454i
\(330\) 4.00922e6 3.27828e6i 2.02663 1.65715i
\(331\) 49123.4 49123.4i 0.0246444 0.0246444i −0.694677 0.719322i \(-0.744453\pi\)
0.719322 + 0.694677i \(0.244453\pi\)
\(332\) −504702. + 625070.i −0.251298 + 0.311231i
\(333\) −1.16754e6 + 1.16754e6i −0.576983 + 0.576983i
\(334\) 2.52282e6 134013.i 1.23743 0.0657328i
\(335\) 2.78772e6 + 429987.i 1.35718 + 0.209336i
\(336\) −1.35043e6 + 2.09249e6i −0.652567 + 1.01115i
\(337\) 1.86908e6i 0.896507i 0.893906 + 0.448254i \(0.147954\pi\)
−0.893906 + 0.448254i \(0.852046\pi\)
\(338\) 25806.0 + 485801.i 0.0122865 + 0.231295i
\(339\) −447613. 447613.i −0.211545 0.211545i
\(340\) −456885. + 415924.i −0.214343 + 0.195127i
\(341\) 5.00288e6 5.00288e6i 2.32988 2.32988i
\(342\) −2.52206e6 + 2.80503e6i −1.16598 + 1.29680i
\(343\) −2.37187e6 −1.08857
\(344\) 344534. + 249198.i 0.156977 + 0.113540i
\(345\) −2.22690e6 343485.i −1.00729 0.155367i
\(346\) 670356. 745571.i 0.301034 0.334810i
\(347\) 283389. + 283389.i 0.126346 + 0.126346i 0.767452 0.641106i \(-0.221524\pi\)
−0.641106 + 0.767452i \(0.721524\pi\)
\(348\) 3.82815e6 407858.i 1.69450 0.180535i
\(349\) −921238. 921238.i −0.404863 0.404863i 0.475080 0.879943i \(-0.342419\pi\)
−0.879943 + 0.475080i \(0.842419\pi\)
\(350\) 471939. 1.82537e6i 0.205928 0.796491i
\(351\) 524040. 0.227037
\(352\) −2.06730e6 + 3.61024e6i −0.889296 + 1.55303i
\(353\) 3.61698e6i 1.54493i −0.635057 0.772465i \(-0.719023\pi\)
0.635057 0.772465i \(-0.280977\pi\)
\(354\) 229431. + 4.31906e6i 0.0973069 + 1.83181i
\(355\) 1.31640e6 964573.i 0.554391 0.406223i
\(356\) 306676. + 2.87846e6i 0.128249 + 1.20375i
\(357\) −593969. 593969.i −0.246657 0.246657i
\(358\) 842481. + 757490.i 0.347418 + 0.312370i
\(359\) 897162.i 0.367396i −0.982983 0.183698i \(-0.941193\pi\)
0.982983 0.183698i \(-0.0588069\pi\)
\(360\) −1.96966e6 + 1.99413e6i −0.801004 + 0.810958i
\(361\) 3.31972e6i 1.34071i
\(362\) −751757. + 836105.i −0.301513 + 0.335343i
\(363\) 5.72013e6 + 5.72013e6i 2.27845 + 2.27845i
\(364\) 1.44988e6 1.79567e6i 0.573560 0.710350i
\(365\) 381117. + 520128.i 0.149736 + 0.204352i
\(366\) 3.68328e6 195658.i 1.43725 0.0763474i
\(367\) 2.06490e6i 0.800264i −0.916458 0.400132i \(-0.868964\pi\)
0.916458 0.400132i \(-0.131036\pi\)
\(368\) 1.76940e6 381359.i 0.681094 0.146796i
\(369\) 755307. 0.288774
\(370\) −188133. + 1.87569e6i −0.0714433 + 0.712289i
\(371\) −1.02923e6 1.02923e6i −0.388220 0.388220i
\(372\) −4.51592e6 + 5.59293e6i −1.69195 + 2.09547i
\(373\) −2.11086e6 2.11086e6i −0.785575 0.785575i 0.195191 0.980765i \(-0.437467\pi\)
−0.980765 + 0.195191i \(0.937467\pi\)
\(374\) −1.04346e6 938193.i −0.385742 0.346827i
\(375\) 1.76532e6 3.57104e6i 0.648253 1.31134i
\(376\) −261218. 1.62681e6i −0.0952869 0.593425i
\(377\) −3.56773e6 −1.29282
\(378\) −347672. 312598.i −0.125153 0.112527i
\(379\) −3.32981e6 + 3.32981e6i −1.19075 + 1.19075i −0.213896 + 0.976857i \(0.568615\pi\)
−0.976857 + 0.213896i \(0.931385\pi\)
\(380\) −201887. + 4.30185e6i −0.0717216 + 1.52825i
\(381\) 1.72017e6 + 1.72017e6i 0.607099 + 0.607099i
\(382\) 1.06549e6 56599.5i 0.373587 0.0198451i
\(383\) 1.03056e6i 0.358984i −0.983759 0.179492i \(-0.942555\pi\)
0.983759 0.179492i \(-0.0574454\pi\)
\(384\) 1.69999e6 3.86995e6i 0.588327 1.33930i
\(385\) 4.23193e6 + 652747.i 1.45508 + 0.224436i
\(386\) −163570. 3.07922e6i −0.0558772 1.05189i
\(387\) −460063. + 460063.i −0.156149 + 0.156149i
\(388\) 221318. + 2.07729e6i 0.0746342 + 0.700517i
\(389\) 139295. 139295.i 0.0466726 0.0466726i −0.683385 0.730058i \(-0.739493\pi\)
0.730058 + 0.683385i \(0.239493\pi\)
\(390\) 3.77498e6 3.08674e6i 1.25676 1.02764i
\(391\) 610511.i 0.201954i
\(392\) 970849. 155890.i 0.319107 0.0512394i
\(393\) 5.73864e6 1.87425
\(394\) −1.91448e6 1.72135e6i −0.621314 0.558634i
\(395\) −1.36021e6 1.85635e6i −0.438646 0.598641i
\(396\) −4.95278e6 3.99903e6i −1.58712 1.28150i
\(397\) −1.40764e6 + 1.40764e6i −0.448244 + 0.448244i −0.894770 0.446527i \(-0.852661\pi\)
0.446527 + 0.894770i \(0.352661\pi\)
\(398\) −254543. 4.79179e6i −0.0805476 1.51632i
\(399\) −5.85503e6 −1.84118
\(400\) −299695. + 3.18594e6i −0.0936546 + 0.995605i
\(401\) −5.37790e6 −1.67014 −0.835068 0.550147i \(-0.814572\pi\)
−0.835068 + 0.550147i \(0.814572\pi\)
\(402\) −345263. 6.49962e6i −0.106558 2.00596i
\(403\) 4.71058e6 4.71058e6i 1.44481 1.44481i
\(404\) 565057. 699820.i 0.172242 0.213321i
\(405\) 1.64001e6 + 2.23820e6i 0.496832 + 0.678049i
\(406\) 2.36700e6 + 2.12821e6i 0.712661 + 0.640766i
\(407\) −4.28131e6 −1.28112
\(408\) 1.15520e6 + 835542.i 0.343562 + 0.248495i
\(409\) 1.76714e6i 0.522353i −0.965291 0.261176i \(-0.915890\pi\)
0.965291 0.261176i \(-0.0841104\pi\)
\(410\) 667562. 545855.i 0.196125 0.160368i
\(411\) 692051. 692051.i 0.202085 0.202085i
\(412\) 2.92988e6 312154.i 0.850367 0.0905995i
\(413\) −2.52868e6 + 2.52868e6i −0.729488 + 0.729488i
\(414\) 146915. + 2.76569e6i 0.0421275 + 0.793055i
\(415\) −1.38706e6 213945.i −0.395345 0.0609793i
\(416\) −1.94651e6 + 3.39930e6i −0.551473 + 0.963067i
\(417\) 2.17722e6i 0.613142i
\(418\) −9.76704e6 + 518831.i −2.73415 + 0.145240i
\(419\) 1.53830e6 + 1.53830e6i 0.428061 + 0.428061i 0.887968 0.459906i \(-0.152117\pi\)
−0.459906 + 0.887968i \(0.652117\pi\)
\(420\) −4.34579e6 203950.i −1.20211 0.0564157i
\(421\) −1.46939e6 + 1.46939e6i −0.404047 + 0.404047i −0.879657 0.475609i \(-0.842228\pi\)
0.475609 + 0.879657i \(0.342228\pi\)
\(422\) 3.90796e6 + 3.51372e6i 1.06824 + 0.960475i
\(423\) 2.52112e6 0.685081
\(424\) 2.00173e6 + 1.44783e6i 0.540743 + 0.391113i
\(425\) −1.02917e6 325224.i −0.276386 0.0873393i
\(426\) −2.80031e6 2.51781e6i −0.747622 0.672201i
\(427\) 2.15644e6 + 2.15644e6i 0.572359 + 0.572359i
\(428\) 2.73297e6 + 2.20669e6i 0.721151 + 0.582281i
\(429\) 7.83104e6 + 7.83104e6i 2.05436 + 2.05436i
\(430\) −74132.7 + 739102.i −0.0193348 + 0.192767i
\(431\) 1.73678e6 0.450350 0.225175 0.974318i \(-0.427705\pi\)
0.225175 + 0.974318i \(0.427705\pi\)
\(432\) 666742. + 430297.i 0.171889 + 0.110933i
\(433\) 3.15065e6i 0.807572i −0.914854 0.403786i \(-0.867694\pi\)
0.914854 0.403786i \(-0.132306\pi\)
\(434\) −5.93516e6 + 315279.i −1.51255 + 0.0803472i
\(435\) 3.97502e6 + 5.42490e6i 1.00720 + 1.37457i
\(436\) −2.05499e6 1.65926e6i −0.517717 0.418022i
\(437\) 3.00905e6 + 3.00905e6i 0.753747 + 0.753747i
\(438\) 994824. 1.10644e6i 0.247777 0.275578i
\(439\) 5.85460e6i 1.44989i −0.688806 0.724946i \(-0.741865\pi\)
0.688806 0.724946i \(-0.258135\pi\)
\(440\) −7.26749e6 + 44874.8i −1.78959 + 0.0110502i
\(441\) 1.50456e6i 0.368394i
\(442\) −982494. 883378.i −0.239207 0.215076i
\(443\) 1.99689e6 + 1.99689e6i 0.483443 + 0.483443i 0.906229 0.422787i \(-0.138948\pi\)
−0.422787 + 0.906229i \(0.638948\pi\)
\(444\) 4.32542e6 460837.i 1.04129 0.110941i
\(445\) −4.07909e6 + 2.98890e6i −0.976479 + 0.715502i
\(446\) −389723. 7.33657e6i −0.0927723 1.74645i
\(447\) 3.58158e6i 0.847824i
\(448\) 3.31915e6 1.09413e6i 0.781325 0.257557i
\(449\) 3.70028e6 0.866201 0.433101 0.901346i \(-0.357419\pi\)
0.433101 + 0.901346i \(0.357419\pi\)
\(450\) −4.74055e6 1.22564e6i −1.10356 0.285320i
\(451\) 1.38483e6 + 1.38483e6i 0.320594 + 0.320594i
\(452\) 94111.2 + 883327.i 0.0216668 + 0.203365i
\(453\) −7.26471e6 7.26471e6i −1.66331 1.66331i
\(454\) 883026. 982103.i 0.201064 0.223623i
\(455\) 3.98468e6 + 614610.i 0.902329 + 0.139178i
\(456\) 9.81182e6 1.57549e6i 2.20972 0.354817i
\(457\) −1.17955e6 −0.264196 −0.132098 0.991237i \(-0.542171\pi\)
−0.132098 + 0.991237i \(0.542171\pi\)
\(458\) 689796. 767192.i 0.153659 0.170899i
\(459\) −189260. + 189260.i −0.0419302 + 0.0419302i
\(460\) 2.12860e6 + 2.33823e6i 0.469028 + 0.515219i
\(461\) 2.05756e6 + 2.05756e6i 0.450920 + 0.450920i 0.895660 0.444740i \(-0.146704\pi\)
−0.444740 + 0.895660i \(0.646704\pi\)
\(462\) −524131. 9.86682e6i −0.114244 2.15066i
\(463\) 7.30819e6i 1.58437i 0.610279 + 0.792187i \(0.291057\pi\)
−0.610279 + 0.792187i \(0.708943\pi\)
\(464\) −4.53927e6 2.92952e6i −0.978793 0.631686i
\(465\) −1.24110e7 1.91432e6i −2.66180 0.410564i
\(466\) 887436. 47141.1i 0.189310 0.0100562i
\(467\) 3.80558e6 3.80558e6i 0.807473 0.807473i −0.176778 0.984251i \(-0.556567\pi\)
0.984251 + 0.176778i \(0.0565673\pi\)
\(468\) −4.66341e6 3.76539e6i −0.984212 0.794685i
\(469\) 3.80532e6 3.80532e6i 0.798839 0.798839i
\(470\) 2.22824e6 1.82199e6i 0.465283 0.380454i
\(471\) 1.44384e6i 0.299893i
\(472\) 3.55711e6 4.91796e6i 0.734924 1.01609i
\(473\) −1.68702e6 −0.346711
\(474\) −3.55055e6 + 3.94892e6i −0.725854 + 0.807296i
\(475\) −6.67546e6 + 3.46958e6i −1.35752 + 0.705575i
\(476\) 124883. + 1.17215e6i 0.0252630 + 0.237119i
\(477\) −2.67295e6 + 2.67295e6i −0.537892 + 0.537892i
\(478\) −613812. + 32606.0i −0.122876 + 0.00652722i
\(479\) 2.15210e6 0.428571 0.214286 0.976771i \(-0.431258\pi\)
0.214286 + 0.976771i \(0.431258\pi\)
\(480\) 7.33753e6 827605.i 1.45361 0.163953i
\(481\) −4.03117e6 −0.794453
\(482\) 7.18903e6 381885.i 1.40946 0.0748713i
\(483\) −3.03979e6 + 3.03979e6i −0.592892 + 0.592892i
\(484\) −1.20267e6 1.12882e7i −0.233363 2.19034i
\(485\) −2.94375e6 + 2.15699e6i −0.568259 + 0.416384i
\(486\) 4.99312e6 5.55335e6i 0.958918 1.06651i
\(487\) −3.58426e6 −0.684821 −0.342410 0.939551i \(-0.611243\pi\)
−0.342410 + 0.939551i \(0.611243\pi\)
\(488\) −4.19402e6 3.03349e6i −0.797225 0.576624i
\(489\) 1.16251e7i 2.19849i
\(490\) 1.08733e6 + 1.32977e6i 0.204585 + 0.250200i
\(491\) 2.36369e6 2.36369e6i 0.442473 0.442473i −0.450369 0.892842i \(-0.648708\pi\)
0.892842 + 0.450369i \(0.148708\pi\)
\(492\) −1.54816e6 1.25003e6i −0.288339 0.232814i
\(493\) 1.28851e6 1.28851e6i 0.238764 0.238764i
\(494\) −9.19639e6 + 488517.i −1.69551 + 0.0900664i
\(495\) 1.69521e6 1.09905e7i 0.310964 2.01606i
\(496\) 9.86127e6 2.12540e6i 1.79982 0.387915i
\(497\) 3.11360e6i 0.565420i
\(498\) 171790. + 3.23396e6i 0.0310401 + 0.584334i
\(499\) 66435.0 + 66435.0i 0.0119439 + 0.0119439i 0.713054 0.701110i \(-0.247312\pi\)
−0.701110 + 0.713054i \(0.747312\pi\)
\(500\) −5.07560e6 + 2.34271e6i −0.907951 + 0.419076i
\(501\) 7.20117e6 7.20117e6i 1.28177 1.28177i
\(502\) 353110. 392729.i 0.0625390 0.0695559i
\(503\) 3.27183e6 0.576594 0.288297 0.957541i \(-0.406911\pi\)
0.288297 + 0.957541i \(0.406911\pi\)
\(504\) 847804. + 5.27993e6i 0.148669 + 0.925875i
\(505\) 1.55294e6 + 239530.i 0.270973 + 0.0417957i
\(506\) −4.80144e6 + 5.34017e6i −0.833673 + 0.927212i
\(507\) 1.38668e6 + 1.38668e6i 0.239583 + 0.239583i
\(508\) −361669. 3.39462e6i −0.0621801 0.583622i
\(509\) −2.09968e6 2.09968e6i −0.359218 0.359218i 0.504307 0.863525i \(-0.331748\pi\)
−0.863525 + 0.504307i \(0.831748\pi\)
\(510\) −248561. + 2.47815e6i −0.0423163 + 0.421893i
\(511\) 1.23023e6 0.208417
\(512\) −5.26780e6 + 2.72666e6i −0.888084 + 0.459681i
\(513\) 1.86563e6i 0.312991i
\(514\) 523269. + 9.85060e6i 0.0873609 + 1.64458i
\(515\) 3.04229e6 + 4.15195e6i 0.505454 + 0.689817i
\(516\) 1.70440e6 181590.i 0.281804 0.0300239i
\(517\) 4.62238e6 + 4.62238e6i 0.760571 + 0.760571i
\(518\) 2.67447e6 + 2.40466e6i 0.437938 + 0.393758i
\(519\) 4.04164e6i 0.658627i
\(520\) −6.84288e6 + 42252.9i −1.10976 + 0.00685249i
\(521\) 716199.i 0.115595i −0.998328 0.0577975i \(-0.981592\pi\)
0.998328 0.0577975i \(-0.0184078\pi\)
\(522\) 5.52703e6 6.14717e6i 0.887801 0.987414i
\(523\) −8.61633e6 8.61633e6i −1.37742 1.37742i −0.848947 0.528478i \(-0.822763\pi\)
−0.528478 0.848947i \(1.32276\pi\)
\(524\) −6.26565e6 5.05909e6i −0.996868 0.804904i
\(525\) −3.50503e6 6.74366e6i −0.555000 1.06782i
\(526\) −4.09183e6 + 217360.i −0.644843 + 0.0342544i
\(527\) 3.40251e6i 0.533670i
\(528\) 3.53334e6 + 1.63937e7i 0.551569 + 2.55913i
\(529\) −3.31190e6 −0.514562
\(530\) −430708. + 4.29415e6i −0.0666029 + 0.664030i
\(531\) 6.56706e6 + 6.56706e6i 1.01073 + 1.01073i
\(532\) 6.39273e6 + 5.16170e6i 0.979281 + 0.790703i
\(533\) 1.30392e6 + 1.30392e6i 0.198808 + 0.198808i
\(534\) 8.67726e6 + 7.80188e6i 1.31683 + 1.18398i
\(535\) −935426. + 6.06461e6i −0.141294 + 0.916049i
\(536\) −5.35298e6 + 7.40088e6i −0.804792 + 1.11268i
\(537\) 4.56698e6 0.683428
\(538\) −2.09840e6 1.88671e6i −0.312560 0.281028i
\(539\) −2.75856e6 + 2.75856e6i −0.408988 + 0.408988i
\(540\) −64985.8 + 1.38473e6i −0.00959035 + 0.204352i
\(541\) −9.21163e6 9.21163e6i −1.35314 1.35314i −0.882124 0.471017i \(-0.843887\pi\)
−0.471017 0.882124i \(-0.656113\pi\)
\(542\) −1.12383e7 + 596983.i −1.64324 + 0.0872899i
\(543\) 4.53241e6i 0.659675i
\(544\) −524684. 1.93067e6i −0.0760152 0.279713i
\(545\) 703369. 4.56012e6i 0.101436 0.657635i
\(546\) −493508. 9.29035e6i −0.0708456 1.33368i
\(547\) −2.84257e6 + 2.84257e6i −0.406203 + 0.406203i −0.880412 0.474209i \(-0.842734\pi\)
0.474209 + 0.880412i \(0.342734\pi\)
\(548\) −1.36571e6 + 145505.i −0.194270 + 0.0206979i
\(549\) 5.60036e6 5.60036e6i 0.793022 0.793022i
\(550\) −6.44447e6 1.09388e7i −0.908407 1.54193i
\(551\) 1.27014e7i 1.78227i
\(552\) 4.27610e6 5.91201e6i 0.597310 0.825825i
\(553\) −4.39071e6 −0.610550
\(554\) 1.83047e6 + 1.64581e6i 0.253390 + 0.227827i
\(555\) 4.49137e6 + 6.12958e6i 0.618937 + 0.844692i
\(556\) 1.91940e6 2.37716e6i 0.263316 0.326115i
\(557\) 4.92637e6 4.92637e6i 0.672804 0.672804i −0.285557 0.958362i \(-0.592179\pi\)
0.958362 + 0.285557i \(0.0921787\pi\)
\(558\) 818790. + 1.54138e7i 0.111324 + 2.09568i
\(559\) −1.58846e6 −0.215004
\(560\) 4.56509e6 + 4.05386e6i 0.615147 + 0.546259i
\(561\) −5.65645e6 −0.758817
\(562\) 523625. + 9.85730e6i 0.0699326 + 1.31649i
\(563\) 8.55023e6 8.55023e6i 1.13686 1.13686i 0.147850 0.989010i \(-0.452765\pi\)
0.989010 0.147850i \(-0.0472354\pi\)
\(564\) −5.16756e6 4.17246e6i −0.684049 0.552324i
\(565\) −1.25177e6 + 917217.i −0.164969 + 0.120879i
\(566\) 9.11700e6 + 8.19726e6i 1.19622 + 1.07554i
\(567\) 5.29388e6 0.691538
\(568\) 837818. + 5.21774e6i 0.108963 + 0.678596i
\(569\) 7.88710e6i 1.02126i −0.859800 0.510630i \(-0.829412\pi\)
0.859800 0.510630i \(-0.170588\pi\)
\(570\) 1.09891e7 + 1.34393e7i 1.41669 + 1.73256i
\(571\) 5.49118e6 5.49118e6i 0.704816 0.704816i −0.260625 0.965440i \(-0.583928\pi\)
0.965440 + 0.260625i \(0.0839285\pi\)
\(572\) −1.64649e6 1.54539e7i −0.210411 1.97491i
\(573\) 3.04135e6 3.04135e6i 0.386973 0.386973i
\(574\) −87271.3 1.64289e6i −0.0110558 0.208127i
\(575\) −1.66442e6 + 5.26706e6i −0.209939 + 0.664352i
\(576\) −2.84149e6 8.61994e6i −0.356853 1.08255i
\(577\) 1.57700e7i 1.97193i 0.166959 + 0.985964i \(0.446605\pi\)
−0.166959 + 0.985964i \(0.553395\pi\)
\(578\) −7.34674e6 + 390263.i −0.914693 + 0.0485890i
\(579\) −8.78936e6 8.78936e6i −1.08958 1.08958i
\(580\) 442432. 9.42740e6i 0.0546105 1.16365i
\(581\) −1.89338e6 + 1.89338e6i −0.232701 + 0.232701i
\(582\) 6.26210e6 + 5.63036e6i 0.766324 + 0.689016i
\(583\) −9.80153e6 −1.19432
\(584\) −2.06161e6 + 331034.i −0.250134 + 0.0401643i
\(585\) 1.59616e6 1.03483e7i 0.192836 1.25020i
\(586\) 3.20790e6 + 2.88428e6i 0.385902 + 0.346971i
\(587\) 1.56405e6 + 1.56405e6i 0.187351 + 0.187351i 0.794550 0.607199i \(-0.207707\pi\)
−0.607199 + 0.794550i \(0.707707\pi\)
\(588\) 2.49005e6 3.08391e6i 0.297005 0.367839i
\(589\) 1.67701e7 + 1.67701e7i 1.99181 + 1.99181i
\(590\) 1.05501e7 + 1.05819e6i 1.24775 + 0.125151i
\(591\) −1.03782e7 −1.22223
\(592\) −5.12891e6 3.31006e6i −0.601479 0.388178i
\(593\) 1.54632e7i 1.80577i 0.429881 + 0.902886i \(0.358555\pi\)
−0.429881 + 0.902886i \(0.641445\pi\)
\(594\) −3.14393e6 + 167007.i −0.365600 + 0.0194209i
\(595\) −1.66106e6 + 1.21712e6i −0.192350 + 0.140942i
\(596\) −3.15746e6 + 3.91049e6i −0.364101 + 0.450937i
\(597\) −1.36778e7 1.36778e7i −1.57065 1.57065i
\(598\) −4.52092e6 + 5.02817e6i −0.516980 + 0.574985i
\(599\) 4.21528e6i 0.480020i −0.970770 0.240010i \(-0.922849\pi\)
0.970770 0.240010i \(-0.0771508\pi\)
\(600\) 7.68831e6 + 1.03578e7i 0.871872 + 1.17460i
\(601\) 1.05672e7i 1.19337i −0.802476 0.596684i \(-0.796485\pi\)
0.802476 0.596684i \(-0.203515\pi\)
\(602\) 1.05386e6 + 947541.i 0.118520 + 0.106563i
\(603\) −9.88255e6 9.88255e6i −1.10682 1.10682i
\(604\) 1.52741e6 + 1.43363e7i 0.170359 + 1.59899i
\(605\) 1.59966e7 1.17213e7i 1.77680 1.30193i
\(606\) −192333. 3.62070e6i −0.0212752 0.400508i
\(607\) 8.11448e6i 0.893900i 0.894559 + 0.446950i \(0.147490\pi\)
−0.894559 + 0.446950i \(0.852510\pi\)
\(608\) −1.21018e7 6.92976e6i −1.32767 0.760255i
\(609\) 1.28312e7 1.40192
\(610\) 902419. 8.99711e6i 0.0981937 0.978990i
\(611\) 4.35232e6 + 4.35232e6i 0.471647 + 0.471647i
\(612\) 3.04411e6 324325.i 0.328535 0.0350027i
\(613\) 9.50964e6 + 9.50964e6i 1.02215 + 1.02215i 0.999749 + 0.0223966i \(0.00712966\pi\)
0.0223966 + 0.999749i \(0.492870\pi\)
\(614\) −4.59982e6 + 5.11592e6i −0.492402 + 0.547650i
\(615\) 529895. 3.43545e6i 0.0564939 0.366265i
\(616\) −8.12616e6 + 1.12350e7i −0.862847 + 1.19295i
\(617\) −1.49495e7 −1.58093 −0.790466 0.612506i \(-0.790162\pi\)
−0.790466 + 0.612506i \(0.790162\pi\)
\(618\) 7.94123e6 8.83225e6i 0.836405 0.930251i
\(619\) −167897. + 167897.i −0.0176123 + 0.0176123i −0.715858 0.698246i \(-0.753964\pi\)
0.698246 + 0.715858i \(0.253964\pi\)
\(620\) 1.18631e7 + 1.30315e7i 1.23943 + 1.36149i
\(621\) 968587. + 968587.i 0.100788 + 0.100788i
\(622\) −851504. 1.60297e7i −0.0882492 1.66130i
\(623\) 9.64802e6i 0.995905i
\(624\) 3.32690e6 + 1.54359e7i 0.342041 + 1.58698i
\(625\) −7.99233e6 5.61160e6i −0.818415 0.574628i
\(626\) 5.33708e6 283509.i 0.544337 0.0289155i
\(627\) −2.78792e7 + 2.78792e7i −2.83212 + 2.83212i
\(628\) 1.27286e6 1.57643e6i 0.128790 0.159506i
\(629\) 1.45588e6 1.45588e6i 0.146723 0.146723i
\(630\) −7.23193e6 + 5.91344e6i −0.725943 + 0.593593i
\(631\) 4.46243e6i 0.446168i −0.974799 0.223084i \(-0.928388\pi\)
0.974799 0.223084i \(-0.0716123\pi\)
\(632\) 7.35791e6 1.18147e6i 0.732760 0.117660i
\(633\) 2.11846e7 2.10141
\(634\) −4.20223e6 + 4.67373e6i −0.415200 + 0.461786i
\(635\) 4.81054e6 3.52486e6i 0.473434 0.346903i
\(636\) 9.90251e6 1.05503e6i 0.970739 0.103424i
\(637\) −2.59739e6 + 2.59739e6i −0.253623 + 0.253623i
\(638\) 2.14043e7 1.13701e6i 2.08185 0.110589i
\(639\) −8.08611e6 −0.783407
\(640\) −8.74097e6 5.56504e6i −0.843548 0.537054i
\(641\) 1.53043e7 1.47119 0.735593 0.677424i \(-0.236904\pi\)
0.735593 + 0.677424i \(0.236904\pi\)
\(642\) 1.41397e7 751111.i 1.35395 0.0719228i
\(643\) 2.54082e6 2.54082e6i 0.242352 0.242352i −0.575471 0.817822i \(-0.695181\pi\)
0.817822 + 0.575471i \(0.195181\pi\)
\(644\) 5.99878e6 639120.i 0.569965 0.0607250i
\(645\) 1.76979e6 + 2.41532e6i 0.167503 + 0.228600i
\(646\) 3.14490e6 3.49777e6i 0.296501 0.329769i
\(647\) −7.78276e6 −0.730925 −0.365463 0.930826i \(-0.619089\pi\)
−0.365463 + 0.930826i \(0.619089\pi\)
\(648\) −8.87144e6 + 1.42450e6i −0.829959 + 0.133267i
\(649\) 2.40810e7i 2.24420i
\(650\) −6.06794e6 1.02997e7i −0.563324 0.956184i
\(651\) −1.69414e7 + 1.69414e7i −1.56674 + 1.56674i
\(652\) 1.02485e7 1.26927e7i 0.944150 1.16932i
\(653\) 9.68542e6 9.68542e6i 0.888865 0.888865i −0.105549 0.994414i \(-0.533660\pi\)
0.994414 + 0.105549i \(0.0336601\pi\)
\(654\) −1.06320e7 + 564778.i −0.972010 + 0.0516337i
\(655\) 2.14457e6 1.39038e7i 0.195316 1.26628i
\(656\) 588324. + 2.72966e6i 0.0533773 + 0.247656i
\(657\) 3.19494e6i 0.288768i
\(658\) −291300. 5.48376e6i −0.0262287 0.493758i
\(659\) −9.93741e6 9.93741e6i −0.891374 0.891374i 0.103279 0.994652i \(-0.467067\pi\)
−0.994652 + 0.103279i \(0.967067\pi\)
\(660\) −2.16639e7 + 1.97217e7i −1.93588 + 1.76232i
\(661\) −4.73013e6 + 4.73013e6i −0.421084 + 0.421084i −0.885577 0.464493i \(-0.846237\pi\)
0.464493 + 0.885577i \(0.346237\pi\)
\(662\) −262752. + 292233.i −0.0233024 + 0.0259170i
\(663\) −5.32597e6 −0.470560
\(664\) 2.66344e6 3.68240e6i 0.234435 0.324123i
\(665\) −2.18807e6 + 1.41858e7i −0.191870 + 1.24394i
\(666\) 6.24498e6 6.94568e6i 0.545564 0.606777i
\(667\) −6.59427e6 6.59427e6i −0.573921 0.573921i
\(668\) −1.42109e7 + 1.51405e6i −1.23220 + 0.131281i
\(669\) −2.09416e7 2.09416e7i −1.80903 1.80903i
\(670\) −1.58765e7 1.59243e6i −1.36637 0.137048i
\(671\) 2.05361e7 1.76081
\(672\) 7.00055e6 1.22255e7i 0.598011 1.04434i
\(673\) 7.73701e6i 0.658470i 0.944248 + 0.329235i \(0.106791\pi\)
−0.944248 + 0.329235i \(0.893209\pi\)
\(674\) −560860. 1.05582e7i −0.0475559 0.895245i
\(675\) −2.14878e6 + 1.11683e6i −0.181523 + 0.0943468i
\(676\) −291551. 2.73649e6i −0.0245385 0.230318i
\(677\) 8.28716e6 + 8.28716e6i 0.694919 + 0.694919i 0.963310 0.268391i \(-0.0864919\pi\)
−0.268391 + 0.963310i \(0.586492\pi\)
\(678\) 2.66283e6 + 2.39420e6i 0.222469 + 0.200026i
\(679\) 6.96267e6i 0.579564i
\(680\) 2.45609e6 2.48661e6i 0.203691 0.206222i
\(681\) 5.32385e6i 0.439904i
\(682\) −2.67595e7 + 2.97620e7i −2.20301 + 2.45019i
\(683\) −2.20912e6 2.20912e6i −0.181204 0.181204i 0.610676 0.791880i \(-0.290898\pi\)
−0.791880 + 0.610676i \(0.790898\pi\)
\(684\) 1.34051e7 1.66021e7i 1.09554 1.35682i
\(685\) −1.41810e6 1.93535e6i −0.115473 0.157592i
\(686\) 1.33984e7 711732.i 1.08704 0.0577439i
\(687\) 4.15884e6i 0.336187i
\(688\) −2.02101e6 1.30431e6i −0.162779 0.105053i
\(689\) −9.22886e6 −0.740628
\(690\) 1.26826e7 + 1.27208e6i 1.01411 + 0.101716i
\(691\) −8.33836e6 8.33836e6i −0.664332 0.664332i 0.292066 0.956398i \(-0.405657\pi\)
−0.956398 + 0.292066i \(0.905657\pi\)
\(692\) −3.56304e6 + 4.41281e6i −0.282850 + 0.350308i
\(693\) −1.50023e7 1.50023e7i −1.18666 1.18666i
\(694\) −1.68587e6 1.51580e6i −0.132870 0.119466i
\(695\) 5.27504e6 + 813640.i 0.414251 + 0.0638955i
\(696\) −2.15024e7 + 3.45266e6i −1.68253 + 0.270166i
\(697\) −941837. −0.0734334
\(698\) 5.48041e6 + 4.92754e6i 0.425770 + 0.382817i
\(699\) 2.53311e6 2.53311e6i 0.196093 0.196093i
\(700\) −2.11819e6 + 1.04529e7i −0.163388 + 0.806294i
\(701\) 6.30948e6 + 6.30948e6i 0.484952 + 0.484952i 0.906709 0.421757i \(-0.138587\pi\)
−0.421757 + 0.906709i \(0.638587\pi\)
\(702\) −2.96024e6 + 157250.i −0.226717 + 0.0120433i
\(703\) 1.43513e7i 1.09522i
\(704\) 1.05946e7 2.10142e7i 0.805663 1.59801i
\(705\) 1.76872e6 1.14671e7i 0.134025 0.868921i
\(706\) 1.08535e6 + 2.04319e7i 0.0819520 + 1.54276i
\(707\) 2.11981e6 2.11981e6i 0.159495 0.159495i
\(708\) −2.59206e6 2.43291e7i −0.194340 1.82407i
\(709\) 5.00389e6 5.00389e6i 0.373846 0.373846i −0.495030 0.868876i \(-0.664843\pi\)
0.868876 + 0.495030i \(0.164843\pi\)
\(710\) −7.14674e6 + 5.84378e6i −0.532062 + 0.435059i
\(711\) 1.14028e7i 0.845936i
\(712\) −2.59613e6 1.61681e7i −0.191922 1.19525i
\(713\) 1.74132e7 1.28279
\(714\) 3.53350e6 + 3.17703e6i 0.259394 + 0.233226i
\(715\) 2.18999e7 1.60468e7i 1.60205 1.17388i
\(716\) −4.98638e6 4.02617e6i −0.363499 0.293501i
\(717\) −1.75207e6 + 1.75207e6i −0.127278 + 0.127278i
\(718\) 269213. + 5.06797e6i 0.0194888 + 0.366879i
\(719\) 1.73742e6 0.125338 0.0626691 0.998034i \(-0.480039\pi\)
0.0626691 + 0.998034i \(0.480039\pi\)
\(720\) 1.05280e7 1.18557e7i 0.756859 0.852306i
\(721\) 9.82035e6 0.703540
\(722\) −996156. 1.87527e7i −0.0711188 1.33882i
\(723\) 2.05205e7 2.05205e7i 1.45996 1.45996i
\(724\) 3.99570e6 4.94865e6i 0.283300 0.350865i
\(725\) 1.46291e7 7.60352e6i 1.03365 0.537241i
\(726\) −3.40289e7 3.05960e7i −2.39611 2.15438i
\(727\) 1.99882e7 1.40261 0.701307 0.712860i \(-0.252600\pi\)
0.701307 + 0.712860i \(0.252600\pi\)
\(728\) −7.65139e6 + 1.05786e7i −0.535071 + 0.739775i
\(729\) 1.80424e7i 1.25741i
\(730\) −2.30896e6 2.82378e6i −0.160365 0.196121i
\(731\) 573680. 573680.i 0.0397079 0.0397079i
\(732\) −2.07477e7 + 2.21050e6i −1.43117 + 0.152480i
\(733\) −1.06277e7 + 1.06277e7i −0.730603 + 0.730603i −0.970739 0.240136i \(-0.922808\pi\)
0.240136 + 0.970739i \(0.422808\pi\)
\(734\) 619618. + 1.16644e7i 0.0424506 + 0.799137i
\(735\) 6.84335e6 + 1.05554e6i 0.467251 + 0.0720704i
\(736\) −9.88073e6 + 2.68520e6i −0.672348 + 0.182719i
\(737\) 3.62387e7i 2.45756i
\(738\) −4.26664e6 + 226646.i −0.288367 + 0.0153182i
\(739\) 6.73131e6 + 6.73131e6i 0.453407 + 0.453407i 0.896484 0.443076i \(-0.146113\pi\)
−0.443076 + 0.896484i \(0.646113\pi\)
\(740\) 499903. 1.06520e7i 0.0335588 0.715076i
\(741\) −2.62503e7 + 2.62503e7i −1.75626 + 1.75626i
\(742\) 6.12286e6 + 5.50517e6i 0.408267 + 0.367080i
\(743\) −1.25304e7 −0.832707 −0.416353 0.909203i \(-0.636692\pi\)
−0.416353 + 0.909203i \(0.636692\pi\)
\(744\) 2.38316e7 3.29490e7i 1.57842 2.18227i
\(745\) −8.67759e6 1.33846e6i −0.572807 0.0883517i
\(746\) 1.25574e7 + 1.12906e7i 0.826140 + 0.742797i
\(747\) 4.91718e6 + 4.91718e6i 0.322414 + 0.322414i
\(748\) 6.17591e6 + 4.98664e6i 0.403596 + 0.325877i
\(749\) 8.27838e6 + 8.27838e6i 0.539189 + 0.539189i
\(750\) −8.90052e6 + 2.07021e7i −0.577779 + 1.34388i
\(751\) −1.63533e7 −1.05805 −0.529025 0.848606i \(-0.677442\pi\)
−0.529025 + 0.848606i \(0.677442\pi\)
\(752\) 1.96375e6 + 9.11126e6i 0.126631 + 0.587535i
\(753\) 2.12893e6i 0.136828i
\(754\) 2.01537e7 1.07058e6i 1.29100 0.0685787i
\(755\) −2.03161e7 + 1.48863e7i −1.29710 + 0.950431i
\(756\) 2.05777e6 + 1.66151e6i 0.130946 + 0.105730i
\(757\) 2.18368e7 + 2.18368e7i 1.38500 + 1.38500i 0.835487 + 0.549510i \(0.185186\pi\)
0.549510 + 0.835487i \(0.314814\pi\)
\(758\) 1.78105e7 1.98089e7i 1.12591 1.25224i
\(759\) 2.89484e7i 1.82398i
\(760\) −150424. 2.43612e7i −0.00944677 1.52991i
\(761\) 3.37886e6i 0.211499i