Properties

Label 43.7.f.a.22.14
Level 43
Weight 7
Character 43.22
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 22.14
Character \(\chi\) \(=\) 43.22
Dual form 43.7.f.a.2.14

$q$-expansion

\(f(q)\) \(=\) \(q+(2.61426 - 5.42856i) q^{2} +(1.01637 + 2.11052i) q^{3} +(17.2684 + 21.6539i) q^{4} +(-102.842 + 23.4731i) q^{5} +14.1142 q^{6} -486.006i q^{7} +(538.641 - 122.941i) q^{8} +(451.103 - 565.665i) q^{9} +O(q^{10})\) \(q+(2.61426 - 5.42856i) q^{2} +(1.01637 + 2.11052i) q^{3} +(17.2684 + 21.6539i) q^{4} +(-102.842 + 23.4731i) q^{5} +14.1142 q^{6} -486.006i q^{7} +(538.641 - 122.941i) q^{8} +(451.103 - 565.665i) q^{9} +(-141.431 + 619.650i) q^{10} +(609.196 - 763.908i) q^{11} +(-28.1498 + 58.4537i) q^{12} +(-77.4782 - 339.454i) q^{13} +(-2638.32 - 1270.55i) q^{14} +(-154.067 - 193.193i) q^{15} +(346.320 - 1517.33i) q^{16} +(664.284 - 2910.42i) q^{17} +(-1891.45 - 3927.64i) q^{18} +(2015.78 - 1607.53i) q^{19} +(-2284.20 - 1821.59i) q^{20} +(1025.73 - 493.964i) q^{21} +(-2554.33 - 5304.11i) q^{22} +(-5367.87 + 6731.09i) q^{23} +(806.931 + 1011.86i) q^{24} +(-4052.10 + 1951.39i) q^{25} +(-2045.30 - 466.826i) q^{26} +(3317.21 + 757.131i) q^{27} +(10523.9 - 8392.54i) q^{28} +(1624.49 - 3373.30i) q^{29} +(-1451.53 + 331.303i) q^{30} +(4571.58 + 2201.56i) q^{31} +(20313.7 + 16199.6i) q^{32} +(2231.41 + 509.306i) q^{33} +(-14062.8 - 11214.7i) q^{34} +(11408.1 + 49982.0i) q^{35} +20038.6 q^{36} -14590.2i q^{37} +(-3456.81 - 15145.3i) q^{38} +(637.679 - 508.532i) q^{39} +(-52509.3 + 25287.1i) q^{40} +(34086.8 + 16415.3i) q^{41} -6859.57i q^{42} +(-42282.4 + 67331.7i) q^{43} +27061.4 q^{44} +(-33114.5 + 68763.0i) q^{45} +(22507.2 + 46736.6i) q^{46} +(48965.7 + 61401.1i) q^{47} +(3554.34 - 811.255i) q^{48} -118553. q^{49} +27098.5i q^{50} +(6817.66 - 1556.09i) q^{51} +(6012.58 - 7539.53i) q^{52} +(28175.5 - 123445. i) q^{53} +(12782.2 - 16028.3i) q^{54} +(-44719.8 + 92861.7i) q^{55} +(-59750.3 - 261783. i) q^{56} +(5441.51 + 2620.49i) q^{57} +(-14065.3 - 17637.4i) q^{58} +(16530.9 - 72426.4i) q^{59} +(1522.90 - 6672.27i) q^{60} +(-7616.39 - 15815.6i) q^{61} +(23902.6 - 19061.7i) q^{62} +(-274917. - 219239. i) q^{63} +(230788. - 111142. i) q^{64} +(15936.1 + 33091.6i) q^{65} +(8598.29 - 10781.9i) q^{66} +(213761. + 268047. i) q^{67} +(74492.9 - 35873.9i) q^{68} +(-19661.9 - 4487.69i) q^{69} +(301154. + 68736.4i) q^{70} +(393246. - 313603. i) q^{71} +(173439. - 360150. i) q^{72} +(-521532. + 119036. i) q^{73} +(-79203.8 - 38142.5i) q^{74} +(-8236.89 - 6568.70i) q^{75} +(69618.5 + 15890.0i) q^{76} +(-371264. - 296073. i) q^{77} +(-1093.54 - 4791.12i) q^{78} -197625. q^{79} +164175. i q^{80} +(-115593. - 506446. i) q^{81} +(178223. - 142128. i) q^{82} +(-833718. + 401497. i) q^{83} +(28408.9 + 13681.0i) q^{84} +314907. i q^{85} +(254978. + 405555. i) q^{86} +8770.51 q^{87} +(234222. - 486368. i) q^{88} +(503044. + 1.04458e6i) q^{89} +(286715. + 359529. i) q^{90} +(-164977. + 37654.9i) q^{91} -238448. q^{92} +11886.0i q^{93} +(461329. - 105295. i) q^{94} +(-169573. + 212638. i) q^{95} +(-13543.4 + 59337.4i) q^{96} +(-983626. + 1.23343e6i) q^{97} +(-309928. + 643573. i) q^{98} +(-157306. - 689202. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.61426 5.42856i 0.326782 0.678571i −0.671253 0.741229i \(-0.734243\pi\)
0.998035 + 0.0626580i \(0.0199577\pi\)
\(3\) 1.01637 + 2.11052i 0.0376435 + 0.0781675i 0.918942 0.394392i \(-0.129045\pi\)
−0.881299 + 0.472559i \(0.843330\pi\)
\(4\) 17.2684 + 21.6539i 0.269818 + 0.338342i
\(5\) −102.842 + 23.4731i −0.822738 + 0.187785i −0.613111 0.789997i \(-0.710082\pi\)
−0.209627 + 0.977781i \(0.567225\pi\)
\(6\) 14.1142 0.0653434
\(7\) 486.006i 1.41693i −0.705747 0.708464i \(-0.749389\pi\)
0.705747 0.708464i \(-0.250611\pi\)
\(8\) 538.641 122.941i 1.05203 0.240120i
\(9\) 451.103 565.665i 0.618797 0.775946i
\(10\) −141.431 + 619.650i −0.141431 + 0.619650i
\(11\) 609.196 763.908i 0.457698 0.573935i −0.498413 0.866940i \(-0.666084\pi\)
0.956111 + 0.293005i \(0.0946551\pi\)
\(12\) −28.1498 + 58.4537i −0.0162904 + 0.0338274i
\(13\) −77.4782 339.454i −0.0352655 0.154508i 0.954230 0.299075i \(-0.0966782\pi\)
−0.989495 + 0.144567i \(0.953821\pi\)
\(14\) −2638.32 1270.55i −0.961485 0.463027i
\(15\) −154.067 193.193i −0.0456493 0.0572425i
\(16\) 346.320 1517.33i 0.0845508 0.370441i
\(17\) 664.284 2910.42i 0.135209 0.592391i −0.861240 0.508198i \(-0.830312\pi\)
0.996449 0.0841927i \(-0.0268311\pi\)
\(18\) −1891.45 3927.64i −0.324323 0.673463i
\(19\) 2015.78 1607.53i 0.293888 0.234368i −0.465434 0.885082i \(-0.654102\pi\)
0.759323 + 0.650714i \(0.225530\pi\)
\(20\) −2284.20 1821.59i −0.285525 0.227699i
\(21\) 1025.73 493.964i 0.110758 0.0533381i
\(22\) −2554.33 5304.11i −0.239888 0.498132i
\(23\) −5367.87 + 6731.09i −0.441182 + 0.553225i −0.951854 0.306550i \(-0.900825\pi\)
0.510672 + 0.859776i \(0.329397\pi\)
\(24\) 806.931 + 1011.86i 0.0583718 + 0.0731959i
\(25\) −4052.10 + 1951.39i −0.259334 + 0.124889i
\(26\) −2045.30 466.826i −0.116369 0.0265604i
\(27\) 3317.21 + 757.131i 0.168532 + 0.0384662i
\(28\) 10523.9 8392.54i 0.479406 0.382313i
\(29\) 1624.49 3373.30i 0.0666077 0.138312i −0.865007 0.501760i \(-0.832686\pi\)
0.931615 + 0.363448i \(0.118400\pi\)
\(30\) −1451.53 + 331.303i −0.0537605 + 0.0122705i
\(31\) 4571.58 + 2201.56i 0.153455 + 0.0739001i 0.509035 0.860746i \(-0.330002\pi\)
−0.355580 + 0.934646i \(0.615717\pi\)
\(32\) 20313.7 + 16199.6i 0.619925 + 0.494374i
\(33\) 2231.41 + 509.306i 0.0620924 + 0.0141722i
\(34\) −14062.8 11214.7i −0.357795 0.285332i
\(35\) 11408.1 + 49982.0i 0.266077 + 1.16576i
\(36\) 20038.6 0.429498
\(37\) 14590.2i 0.288042i −0.989575 0.144021i \(-0.953997\pi\)
0.989575 0.144021i \(-0.0460033\pi\)
\(38\) −3456.81 15145.3i −0.0629977 0.276011i
\(39\) 637.679 508.532i 0.0107500 0.00857283i
\(40\) −52509.3 + 25287.1i −0.820457 + 0.395111i
\(41\) 34086.8 + 16415.3i 0.494577 + 0.238176i 0.664509 0.747280i \(-0.268641\pi\)
−0.169932 + 0.985456i \(0.554355\pi\)
\(42\) 6859.57i 0.0925868i
\(43\) −42282.4 + 67331.7i −0.531807 + 0.846866i
\(44\) 27061.4 0.317681
\(45\) −33114.5 + 68763.0i −0.363397 + 0.754601i
\(46\) 22507.2 + 46736.6i 0.231232 + 0.480158i
\(47\) 48965.7 + 61401.1i 0.471627 + 0.591401i 0.959569 0.281475i \(-0.0908236\pi\)
−0.487942 + 0.872876i \(0.662252\pi\)
\(48\) 3554.34 811.255i 0.0321392 0.00733557i
\(49\) −118553. −1.00768
\(50\) 27098.5i 0.216788i
\(51\) 6817.66 1556.09i 0.0513954 0.0117307i
\(52\) 6012.58 7539.53i 0.0427613 0.0536209i
\(53\) 28175.5 123445.i 0.189253 0.829173i −0.787758 0.615985i \(-0.788758\pi\)
0.977011 0.213188i \(-0.0683848\pi\)
\(54\) 12782.2 16028.3i 0.0811752 0.101790i
\(55\) −44719.8 + 92861.7i −0.268789 + 0.558147i
\(56\) −59750.3 261783.i −0.340233 1.49066i
\(57\) 5441.51 + 2620.49i 0.0293829 + 0.0141501i
\(58\) −14065.3 17637.4i −0.0720884 0.0903960i
\(59\) 16530.9 72426.4i 0.0804895 0.352648i −0.918606 0.395175i \(-0.870684\pi\)
0.999095 + 0.0425276i \(0.0135410\pi\)
\(60\) 1522.90 6672.27i 0.00705048 0.0308902i
\(61\) −7616.39 15815.6i −0.0335552 0.0696780i 0.883517 0.468398i \(-0.155169\pi\)
−0.917073 + 0.398720i \(0.869454\pi\)
\(62\) 23902.6 19061.7i 0.100293 0.0799809i
\(63\) −274917. 219239.i −1.09946 0.876790i
\(64\) 230788. 111142.i 0.880387 0.423972i
\(65\) 15936.1 + 33091.6i 0.0580285 + 0.120497i
\(66\) 8598.29 10781.9i 0.0299075 0.0375028i
\(67\) 213761. + 268047.i 0.710728 + 0.891224i 0.997774 0.0666924i \(-0.0212446\pi\)
−0.287046 + 0.957917i \(0.592673\pi\)
\(68\) 74492.9 35873.9i 0.236912 0.114091i
\(69\) −19661.9 4487.69i −0.0598518 0.0136608i
\(70\) 301154. + 68736.4i 0.878000 + 0.200398i
\(71\) 393246. 313603.i 1.09873 0.876205i 0.105735 0.994394i \(-0.466280\pi\)
0.992991 + 0.118190i \(0.0377091\pi\)
\(72\) 173439. 360150.i 0.464675 0.964907i
\(73\) −521532. + 119036.i −1.34064 + 0.305992i −0.831899 0.554927i \(-0.812746\pi\)
−0.508741 + 0.860919i \(0.669889\pi\)
\(74\) −79203.8 38142.5i −0.195457 0.0941271i
\(75\) −8236.89 6568.70i −0.0195245 0.0155702i
\(76\) 69618.5 + 15890.0i 0.158593 + 0.0361978i
\(77\) −371264. 296073.i −0.813224 0.648525i
\(78\) −1093.54 4791.12i −0.00230436 0.0100961i
\(79\) −197625. −0.400831 −0.200415 0.979711i \(-0.564229\pi\)
−0.200415 + 0.979711i \(0.564229\pi\)
\(80\) 164175.i 0.320653i
\(81\) −115593. 506446.i −0.217509 0.952968i
\(82\) 178223. 142128.i 0.323238 0.257774i
\(83\) −833718. + 401497.i −1.45809 + 0.702180i −0.983979 0.178284i \(-0.942945\pi\)
−0.474113 + 0.880464i \(0.657231\pi\)
\(84\) 28408.9 + 13681.0i 0.0479309 + 0.0230823i
\(85\) 314907.i 0.512773i
\(86\) 254978. + 405555.i 0.400873 + 0.637609i
\(87\) 8770.51 0.0133189
\(88\) 234222. 486368.i 0.343701 0.713702i
\(89\) 503044. + 1.04458e6i 0.713569 + 1.48174i 0.869479 + 0.493970i \(0.164455\pi\)
−0.155910 + 0.987771i \(0.549831\pi\)
\(90\) 286715. + 359529.i 0.393298 + 0.493181i
\(91\) −164977. + 37654.9i −0.218927 + 0.0499686i
\(92\) −238448. −0.306218
\(93\) 11886.0i 0.0147771i
\(94\) 461329. 105295.i 0.555427 0.126773i
\(95\) −169573. + 212638.i −0.197782 + 0.248011i
\(96\) −13543.4 + 59337.4i −0.0153078 + 0.0670679i
\(97\) −983626. + 1.23343e6i −1.07774 + 1.35145i −0.145605 + 0.989343i \(0.546513\pi\)
−0.932138 + 0.362103i \(0.882059\pi\)
\(98\) −309928. + 643573.i −0.329293 + 0.683785i
\(99\) −157306. 689202.i −0.162121 0.710298i
\(100\) −112228. 54046.3i −0.112228 0.0540463i
\(101\) 303004. + 379954.i 0.294092 + 0.368780i 0.906823 0.421512i \(-0.138500\pi\)
−0.612731 + 0.790292i \(0.709929\pi\)
\(102\) 9375.81 41078.1i 0.00883503 0.0387088i
\(103\) −285048. + 1.24888e6i −0.260859 + 1.14290i 0.659463 + 0.751737i \(0.270784\pi\)
−0.920322 + 0.391161i \(0.872073\pi\)
\(104\) −83466.0 173319.i −0.0742010 0.154080i
\(105\) −93893.2 + 74877.3i −0.0811084 + 0.0646818i
\(106\) −596470. 475669.i −0.500808 0.399381i
\(107\) 1.91340e6 921447.i 1.56191 0.752175i 0.564590 0.825372i \(-0.309034\pi\)
0.997318 + 0.0731968i \(0.0233201\pi\)
\(108\) 40888.0 + 84904.7i 0.0324582 + 0.0674001i
\(109\) 705875. 885139.i 0.545065 0.683490i −0.430654 0.902517i \(-0.641717\pi\)
0.975719 + 0.219028i \(0.0702885\pi\)
\(110\) 387196. + 485529.i 0.290906 + 0.364785i
\(111\) 30792.9 14829.1i 0.0225155 0.0108429i
\(112\) −737430. 168314.i −0.524888 0.119802i
\(113\) 2.03407e6 + 464263.i 1.40971 + 0.321757i 0.858588 0.512666i \(-0.171342\pi\)
0.551123 + 0.834424i \(0.314199\pi\)
\(114\) 28451.0 22688.9i 0.0192036 0.0153144i
\(115\) 394044. 818241.i 0.259090 0.538007i
\(116\) 101097. 23074.8i 0.0647688 0.0147831i
\(117\) −226968. 109302.i −0.141712 0.0682450i
\(118\) −349956. 279080.i −0.212994 0.169857i
\(119\) −1.41448e6 322846.i −0.839375 0.191582i
\(120\) −106738. 85120.8i −0.0617697 0.0492597i
\(121\) 181774. + 796406.i 0.102607 + 0.449550i
\(122\) −105767. −0.0582467
\(123\) 88624.9i 0.0476256i
\(124\) 31271.6 + 137010.i 0.0164016 + 0.0718599i
\(125\) 1.65956e6 1.32346e6i 0.849696 0.677610i
\(126\) −1.90886e6 + 919256.i −0.954248 + 0.459542i
\(127\) −2.61592e6 1.25976e6i −1.27706 0.615002i −0.332430 0.943128i \(-0.607869\pi\)
−0.944634 + 0.328126i \(0.893583\pi\)
\(128\) 119459.i 0.0569623i
\(129\) −185080. 20803.7i −0.0862164 0.00969104i
\(130\) 221301. 0.100729
\(131\) 444997. 924047.i 0.197945 0.411036i −0.778243 0.627963i \(-0.783889\pi\)
0.976188 + 0.216927i \(0.0696033\pi\)
\(132\) 27504.5 + 57113.6i 0.0119586 + 0.0248324i
\(133\) −781269. 979681.i −0.332082 0.416418i
\(134\) 2.01394e6 459668.i 0.837012 0.191043i
\(135\) −358921. −0.145881
\(136\) 1.64934e6i 0.655682i
\(137\) 2.48239e6 566589.i 0.965402 0.220347i 0.289369 0.957218i \(-0.406555\pi\)
0.676033 + 0.736871i \(0.263697\pi\)
\(138\) −75763.0 + 95003.7i −0.0288283 + 0.0361496i
\(139\) −212764. + 932178.i −0.0792233 + 0.347100i −0.998968 0.0454168i \(-0.985538\pi\)
0.919745 + 0.392517i \(0.128396\pi\)
\(140\) −885304. + 1.11014e6i −0.322633 + 0.404569i
\(141\) −79820.8 + 165750.i −0.0284747 + 0.0591283i
\(142\) −674369. 2.95460e6i −0.235522 1.03189i
\(143\) −306511. 147608.i −0.104819 0.0504780i
\(144\) −702073. 880372.i −0.235123 0.294835i
\(145\) −87885.0 + 385049.i −0.0288278 + 0.126303i
\(146\) −717223. + 3.14236e6i −0.230460 + 1.00971i
\(147\) −120494. 250209.i −0.0379327 0.0787681i
\(148\) 315934. 251949.i 0.0974566 0.0777190i
\(149\) 1.04762e6 + 835446.i 0.316697 + 0.252557i 0.768916 0.639349i \(-0.220796\pi\)
−0.452220 + 0.891907i \(0.649368\pi\)
\(150\) −57192.0 + 27542.2i −0.0169458 + 0.00816065i
\(151\) −1.26697e6 2.63089e6i −0.367990 0.764139i 0.631951 0.775008i \(-0.282254\pi\)
−0.999941 + 0.0108697i \(0.996540\pi\)
\(152\) 888150. 1.11370e6i 0.252904 0.317131i
\(153\) −1.34666e6 1.68866e6i −0.375997 0.471485i
\(154\) −2.57783e6 + 1.24142e6i −0.705817 + 0.339904i
\(155\) −521829. 119104.i −0.140131 0.0319839i
\(156\) 22023.4 + 5026.69i 0.00580109 + 0.00132406i
\(157\) 3.30672e6 2.63702e6i 0.854473 0.681419i −0.0949287 0.995484i \(-0.530262\pi\)
0.949402 + 0.314065i \(0.101691\pi\)
\(158\) −516643. + 1.07282e6i −0.130984 + 0.271992i
\(159\) 289170. 66001.1i 0.0719385 0.0164195i
\(160\) −2.46936e6 1.18918e6i −0.602872 0.290328i
\(161\) 3.27135e6 + 2.60882e6i 0.783880 + 0.625124i
\(162\) −3.05147e6 696477.i −0.717734 0.163818i
\(163\) 2.00398e6 + 1.59812e6i 0.462732 + 0.369017i 0.826930 0.562305i \(-0.190085\pi\)
−0.364198 + 0.931322i \(0.618657\pi\)
\(164\) 233168. + 1.02158e6i 0.0528612 + 0.231600i
\(165\) −241439. −0.0537471
\(166\) 5.57551e6i 1.21888i
\(167\) 1.54684e6 + 6.77715e6i 0.332121 + 1.45512i 0.815016 + 0.579438i \(0.196728\pi\)
−0.482896 + 0.875678i \(0.660415\pi\)
\(168\) 491770. 392174.i 0.103713 0.0827086i
\(169\) 4.23958e6 2.04167e6i 0.878340 0.422986i
\(170\) 1.70949e6 + 823247.i 0.347952 + 0.167565i
\(171\) 1.86542e6i 0.373067i
\(172\) −2.18814e6 + 247133.i −0.430021 + 0.0485675i
\(173\) −1.73894e6 −0.335851 −0.167926 0.985800i \(-0.553707\pi\)
−0.167926 + 0.985800i \(0.553707\pi\)
\(174\) 22928.4 47611.3i 0.00435237 0.00903779i
\(175\) 948386. + 1.96934e6i 0.176958 + 0.367458i
\(176\) −948121. 1.18891e6i −0.173910 0.218077i
\(177\) 169659. 38723.6i 0.0305955 0.00698322i
\(178\) 6.98567e6 1.23865
\(179\) 2.43668e6i 0.424854i 0.977177 + 0.212427i \(0.0681368\pi\)
−0.977177 + 0.212427i \(0.931863\pi\)
\(180\) −2.06082e6 + 470369.i −0.353364 + 0.0806531i
\(181\) 4.82977e6 6.05634e6i 0.814500 1.02135i −0.184756 0.982784i \(-0.559150\pi\)
0.999256 0.0385661i \(-0.0122790\pi\)
\(182\) −226880. + 994028.i −0.0376342 + 0.164886i
\(183\) 25638.1 32149.1i 0.00418342 0.00524585i
\(184\) −2.06383e6 + 4.28558e6i −0.331298 + 0.687948i
\(185\) 342477. + 1.50049e6i 0.0540898 + 0.236983i
\(186\) 64524.1 + 31073.2i 0.0100273 + 0.00482888i
\(187\) −1.81861e6 2.28046e6i −0.278109 0.348737i
\(188\) −484012. + 2.12059e6i −0.0728421 + 0.319142i
\(189\) 367970. 1.61218e6i 0.0545038 0.238797i
\(190\) 711013. + 1.47643e6i 0.103661 + 0.215255i
\(191\) −959769. + 765390.i −0.137742 + 0.109846i −0.689937 0.723869i \(-0.742362\pi\)
0.552195 + 0.833715i \(0.313790\pi\)
\(192\) 469134. + 374122.i 0.0662816 + 0.0528578i
\(193\) −8.18989e6 + 3.94404e6i −1.13922 + 0.548618i −0.905777 0.423754i \(-0.860712\pi\)
−0.233439 + 0.972371i \(0.574998\pi\)
\(194\) 4.12429e6 + 8.56418e6i 0.564865 + 1.17295i
\(195\) −53643.5 + 67266.8i −0.00723458 + 0.00907188i
\(196\) −2.04722e6 2.56713e6i −0.271892 0.340941i
\(197\) −1.15644e6 + 556914.i −0.151261 + 0.0728433i −0.507983 0.861367i \(-0.669609\pi\)
0.356722 + 0.934211i \(0.383894\pi\)
\(198\) −4.15261e6 947807.i −0.534966 0.122102i
\(199\) −1.12394e7 2.56533e6i −1.42622 0.325525i −0.561372 0.827564i \(-0.689726\pi\)
−0.864845 + 0.502039i \(0.832583\pi\)
\(200\) −1.94272e6 + 1.54927e6i −0.242840 + 0.193659i
\(201\) −348459. + 723583.i −0.0429105 + 0.0891046i
\(202\) 2.85474e6 651575.i 0.346347 0.0790516i
\(203\) −1.63944e6 789515.i −0.195979 0.0943783i
\(204\) 151425. + 120758.i 0.0178364 + 0.0142241i
\(205\) −3.89088e6 888067.i −0.451633 0.103082i
\(206\) 6.03442e6 + 4.81229e6i 0.690293 + 0.550490i
\(207\) 1.38608e6 + 6.07283e6i 0.156271 + 0.684668i
\(208\) −541896. −0.0602179
\(209\) 2.51917e6i 0.275942i
\(210\) 161015. + 705454.i 0.0173864 + 0.0761747i
\(211\) 8.47054e6 6.75503e6i 0.901704 0.719085i −0.0585290 0.998286i \(-0.518641\pi\)
0.960233 + 0.279201i \(0.0900696\pi\)
\(212\) 3.15960e6 1.52158e6i 0.331608 0.159694i
\(213\) 1.06155e6 + 511216.i 0.109851 + 0.0529012i
\(214\) 1.27959e7i 1.30566i
\(215\) 2.76793e6 7.91704e6i 0.278509 0.796614i
\(216\) 1.87987e6 0.186537
\(217\) 1.06997e6 2.22182e6i 0.104711 0.217435i
\(218\) −2.95969e6 6.14587e6i −0.285678 0.593217i
\(219\) −781300. 979719.i −0.0743850 0.0932758i
\(220\) −2.78305e6 + 635214.i −0.261369 + 0.0596557i
\(221\) −1.03942e6 −0.0962974
\(222\) 205928.i 0.0188216i
\(223\) −1.43776e7 + 3.28160e6i −1.29650 + 0.295918i −0.814454 0.580228i \(-0.802963\pi\)
−0.482046 + 0.876146i \(0.660106\pi\)
\(224\) 7.87312e6 9.87258e6i 0.700492 0.878389i
\(225\) −724081. + 3.17241e6i −0.0635681 + 0.278510i
\(226\) 7.83786e6 9.82837e6i 0.679004 0.851444i
\(227\) 2.71076e6 5.62896e6i 0.231747 0.481227i −0.752372 0.658739i \(-0.771090\pi\)
0.984119 + 0.177511i \(0.0568046\pi\)
\(228\) 37222.3 + 163081.i 0.00314050 + 0.0137594i
\(229\) −916747. 441482.i −0.0763384 0.0367626i 0.395325 0.918541i \(-0.370632\pi\)
−0.471663 + 0.881779i \(0.656346\pi\)
\(230\) −3.41174e6 4.27819e6i −0.280409 0.351622i
\(231\) 247526. 1.08448e6i 0.0200810 0.0879804i
\(232\) 460302. 2.01672e6i 0.0368620 0.161503i
\(233\) 1.02680e7 + 2.13216e7i 0.811739 + 1.68559i 0.724363 + 0.689419i \(0.242134\pi\)
0.0873762 + 0.996175i \(0.472152\pi\)
\(234\) −1.18671e6 + 946367.i −0.0926181 + 0.0738605i
\(235\) −6.47702e6 5.16525e6i −0.499081 0.398004i
\(236\) 1.85377e6 892730.i 0.141033 0.0679179i
\(237\) −200861. 417092.i −0.0150887 0.0313319i
\(238\) −5.45041e6 + 6.83460e6i −0.404295 + 0.506970i
\(239\) −1.10288e7 1.38297e7i −0.807858 1.01302i −0.999502 0.0315578i \(-0.989953\pi\)
0.191644 0.981465i \(-0.438618\pi\)
\(240\) −346494. + 166863.i −0.0250647 + 0.0120705i
\(241\) 1.86593e7 + 4.25885e6i 1.33304 + 0.304258i 0.828916 0.559373i \(-0.188958\pi\)
0.504124 + 0.863631i \(0.331815\pi\)
\(242\) 4.79854e6 + 1.09524e6i 0.338582 + 0.0772791i
\(243\) 2.89066e6 2.30522e6i 0.201455 0.160655i
\(244\) 210946. 438034.i 0.0145212 0.0301535i
\(245\) 1.21923e7 2.78280e6i 0.829060 0.189228i
\(246\) 481106. + 231688.i 0.0323173 + 0.0155632i
\(247\) −701862. 559716.i −0.0465759 0.0371430i
\(248\) 2.73311e6 + 623814.i 0.179185 + 0.0408978i
\(249\) −1.69474e6 1.35151e6i −0.109775 0.0875429i
\(250\) −2.84595e6 1.24689e7i −0.182141 0.798010i
\(251\) −1.01361e6 −0.0640987 −0.0320493 0.999486i \(-0.510203\pi\)
−0.0320493 + 0.999486i \(0.510203\pi\)
\(252\) 9.73891e6i 0.608567i
\(253\) 1.87185e6 + 8.20111e6i 0.115587 + 0.506420i
\(254\) −1.36774e7 + 1.09073e7i −0.834644 + 0.665607i
\(255\) −664617. + 320063.i −0.0400821 + 0.0193025i
\(256\) 1.54189e7 + 7.42537e6i 0.919040 + 0.442586i
\(257\) 6.32313e6i 0.372505i −0.982502 0.186253i \(-0.940366\pi\)
0.982502 0.186253i \(-0.0596343\pi\)
\(258\) −596780. + 950331.i −0.0347501 + 0.0553370i
\(259\) −7.09092e6 −0.408135
\(260\) −441371. + 916516.i −0.0251121 + 0.0521459i
\(261\) −1.17534e6 2.44062e6i −0.0661063 0.137271i
\(262\) −3.85291e6 4.83139e6i −0.214232 0.268639i
\(263\) −2.33310e7 + 5.32515e6i −1.28253 + 0.292728i −0.808873 0.587983i \(-0.799922\pi\)
−0.473653 + 0.880712i \(0.657065\pi\)
\(264\) 1.26455e6 0.0687263
\(265\) 1.33567e7i 0.717731i
\(266\) −7.36070e6 + 1.68003e6i −0.391088 + 0.0892632i
\(267\) −1.69333e6 + 2.12337e6i −0.0889627 + 0.111556i
\(268\) −2.11296e6 + 9.25749e6i −0.109771 + 0.480938i
\(269\) −6.68068e6 + 8.37731e6i −0.343213 + 0.430375i −0.923241 0.384221i \(-0.874470\pi\)
0.580028 + 0.814596i \(0.303042\pi\)
\(270\) −938313. + 1.94843e6i −0.0476712 + 0.0989903i
\(271\) 7.44838e6 + 3.26335e7i 0.374243 + 1.63967i 0.714717 + 0.699413i \(0.246555\pi\)
−0.340474 + 0.940254i \(0.610588\pi\)
\(272\) −4.18600e6 2.01587e6i −0.208014 0.100174i
\(273\) −247150. 309916.i −0.0121471 0.0152320i
\(274\) 3.41384e6 1.49570e7i 0.165956 0.727099i
\(275\) −977842. + 4.28420e6i −0.0470187 + 0.206002i
\(276\) −242353. 503251.i −0.0115271 0.0239363i
\(277\) 1.00708e6 803121.i 0.0473833 0.0377870i −0.599512 0.800366i \(-0.704639\pi\)
0.646895 + 0.762579i \(0.276067\pi\)
\(278\) 4.50417e6 + 3.59196e6i 0.209643 + 0.167185i
\(279\) 3.30760e6 1.59286e6i 0.152300 0.0733439i
\(280\) 1.22897e7 + 2.55198e7i 0.559844 + 1.16253i
\(281\) −2.54542e6 + 3.19186e6i −0.114721 + 0.143855i −0.835876 0.548918i \(-0.815040\pi\)
0.721156 + 0.692773i \(0.243611\pi\)
\(282\) 691110. + 866625.i 0.0308177 + 0.0386442i
\(283\) −3.28203e7 + 1.58054e7i −1.44805 + 0.697343i −0.982255 0.187550i \(-0.939945\pi\)
−0.465794 + 0.884893i \(0.654231\pi\)
\(284\) 1.35814e7 + 3.09988e6i 0.592913 + 0.135329i
\(285\) −621128. 141768.i −0.0268316 0.00612414i
\(286\) −1.60260e6 + 1.27803e6i −0.0685057 + 0.0546315i
\(287\) 7.97794e6 1.65664e7i 0.337478 0.700780i
\(288\) 1.83271e7 4.18305e6i 0.767215 0.175112i
\(289\) 1.37179e7 + 6.60622e6i 0.568324 + 0.273690i
\(290\) 1.86051e6 + 1.48371e6i 0.0762849 + 0.0608352i
\(291\) −3.60291e6 822341.i −0.146209 0.0333713i
\(292\) −1.15836e7 9.23762e6i −0.465259 0.371032i
\(293\) 3.08235e6 + 1.35046e7i 0.122540 + 0.536884i 0.998513 + 0.0545225i \(0.0173637\pi\)
−0.875972 + 0.482361i \(0.839779\pi\)
\(294\) −1.67328e6 −0.0658455
\(295\) 7.83652e6i 0.305251i
\(296\) −1.79374e6 7.85888e6i −0.0691646 0.303030i
\(297\) 2.59921e6 2.07280e6i 0.0992136 0.0791202i
\(298\) 7.27401e6 3.50298e6i 0.274869 0.132370i
\(299\) 2.70079e6 + 1.30063e6i 0.101036 + 0.0486565i
\(300\) 291791.i 0.0108071i
\(301\) 3.27236e7 + 2.05495e7i 1.19995 + 0.753532i
\(302\) −1.75942e7 −0.638774
\(303\) −493937. + 1.02567e6i −0.0177559 + 0.0368706i
\(304\) −1.74104e6 3.61531e6i −0.0619711 0.128684i
\(305\) 1.15453e6 + 1.44773e6i 0.0406916 + 0.0510256i
\(306\) −1.26875e7 + 2.89584e6i −0.442805 + 0.101067i
\(307\) −5.14760e7 −1.77905 −0.889527 0.456882i \(-0.848966\pi\)
−0.889527 + 0.456882i \(0.848966\pi\)
\(308\) 1.31520e7i 0.450132i
\(309\) −2.92549e6 + 667725.i −0.0991571 + 0.0226320i
\(310\) −2.01076e6 + 2.52142e6i −0.0674956 + 0.0846368i
\(311\) −3.58168e6 + 1.56924e7i −0.119071 + 0.521684i 0.879850 + 0.475251i \(0.157643\pi\)
−0.998921 + 0.0464333i \(0.985214\pi\)
\(312\) 280961. 352313.i 0.00925085 0.0116002i
\(313\) 1.85893e7 3.86012e7i 0.606221 1.25883i −0.341546 0.939865i \(-0.610950\pi\)
0.947766 0.318965i \(-0.103335\pi\)
\(314\) −5.67062e6 2.48446e7i −0.183164 0.802496i
\(315\) 3.34193e7 + 1.60939e7i 1.06922 + 0.514907i
\(316\) −3.41267e6 4.27935e6i −0.108151 0.135618i
\(317\) 1.12019e7 4.90786e7i 0.351652 1.54069i −0.421715 0.906728i \(-0.638572\pi\)
0.773367 0.633959i \(-0.218571\pi\)
\(318\) 397673. 1.74232e6i 0.0123665 0.0541810i
\(319\) −1.58725e6 3.29596e6i −0.0488961 0.101534i
\(320\) −2.11259e7 + 1.68474e7i −0.644712 + 0.514141i
\(321\) 3.88947e6 + 3.10175e6i 0.117591 + 0.0937759i
\(322\) 2.27143e7 1.09386e7i 0.680349 0.327639i
\(323\) −3.33953e6 6.93461e6i −0.0991010 0.205785i
\(324\) 8.97041e6 1.12485e7i 0.263741 0.330721i
\(325\) 976356. + 1.22431e6i 0.0284419 + 0.0356650i
\(326\) 1.39144e7 6.70082e6i 0.401617 0.193408i
\(327\) 2.58554e6 + 590132.i 0.0739448 + 0.0168774i
\(328\) 2.03787e7 + 4.65130e6i 0.577503 + 0.131811i
\(329\) 2.98413e7 2.37976e7i 0.837973 0.668261i
\(330\) −631183. + 1.31066e6i −0.0175636 + 0.0364712i
\(331\) −4.14229e6 + 945450.i −0.114224 + 0.0260708i −0.279251 0.960218i \(-0.590086\pi\)
0.165027 + 0.986289i \(0.447229\pi\)
\(332\) −2.30909e7 1.11200e7i −0.630997 0.303872i
\(333\) −8.25316e6 6.58168e6i −0.223505 0.178239i
\(334\) 4.08340e7 + 9.32010e6i 1.09593 + 0.250139i
\(335\) −2.82755e7 2.25490e7i −0.752101 0.599780i
\(336\) −394275. 1.72743e6i −0.0103940 0.0455390i
\(337\) 4.15530e6 0.108571 0.0542853 0.998525i \(-0.482712\pi\)
0.0542853 + 0.998525i \(0.482712\pi\)
\(338\) 2.83523e7i 0.734240i
\(339\) 1.08754e6 + 4.76481e6i 0.0279155 + 0.122306i
\(340\) −6.81894e6 + 5.43793e6i −0.173492 + 0.138356i
\(341\) 4.46678e6 2.15109e6i 0.112650 0.0542494i
\(342\) −1.01265e7 4.87668e6i −0.253153 0.121912i
\(343\) 439359.i 0.0108877i
\(344\) −1.44972e7 + 4.14659e7i −0.356130 + 1.01863i
\(345\) 2.12741e6 0.0518077
\(346\) −4.54604e6 + 9.43996e6i −0.109750 + 0.227899i
\(347\) −2.59331e7 5.38506e7i −0.620677 1.28885i −0.939991 0.341200i \(-0.889167\pi\)
0.319314 0.947649i \(-0.396548\pi\)
\(348\) 151453. + 189915.i 0.00359368 + 0.00450633i
\(349\) −6.23044e7 + 1.42206e7i −1.46569 + 0.334534i −0.879601 0.475711i \(-0.842191\pi\)
−0.586090 + 0.810246i \(0.699333\pi\)
\(350\) 1.31700e7 0.307173
\(351\) 1.18470e6i 0.0273960i
\(352\) 2.47500e7 5.64904e6i 0.567477 0.129523i
\(353\) −1.62729e7 + 2.04056e7i −0.369948 + 0.463900i −0.931606 0.363469i \(-0.881592\pi\)
0.561658 + 0.827369i \(0.310164\pi\)
\(354\) 233319. 1.02224e6i 0.00525946 0.0230432i
\(355\) −3.30811e7 + 4.14824e7i −0.739426 + 0.927211i
\(356\) −1.39325e7 + 2.89311e7i −0.308801 + 0.641231i
\(357\) −756267. 3.31342e6i −0.0166215 0.0728236i
\(358\) 1.32277e7 + 6.37012e6i 0.288294 + 0.138835i
\(359\) −3.46189e7 4.34107e7i −0.748221 0.938239i 0.251339 0.967899i \(-0.419129\pi\)
−0.999560 + 0.0296598i \(0.990558\pi\)
\(360\) −9.38303e6 + 4.11098e7i −0.201111 + 0.881125i
\(361\) −8.98948e6 + 3.93855e7i −0.191079 + 0.837172i
\(362\) −2.02510e7 4.20516e7i −0.426894 0.886455i
\(363\) −1.49608e6 + 1.19308e6i −0.0312777 + 0.0249431i
\(364\) −3.66426e6 2.92215e6i −0.0759770 0.0605896i
\(365\) 5.08414e7 2.44839e7i 1.04553 0.503503i
\(366\) −107499. 223224.i −0.00219261 0.00455300i
\(367\) 2.83224e7 3.55152e7i 0.572970 0.718482i −0.407926 0.913015i \(-0.633748\pi\)
0.980896 + 0.194533i \(0.0623192\pi\)
\(368\) 8.35427e6 + 1.04759e7i 0.167635 + 0.210208i
\(369\) 2.46622e7 1.18767e7i 0.490854 0.236383i
\(370\) 9.04082e6 + 2.06351e6i 0.178485 + 0.0407381i
\(371\) −5.99950e7 1.36935e7i −1.17488 0.268158i
\(372\) −257379. + 205253.i −0.00499970 + 0.00398712i
\(373\) 3.65907e7 7.59814e7i 0.705090 1.46413i −0.172643 0.984984i \(-0.555231\pi\)
0.877733 0.479150i \(-0.159055\pi\)
\(374\) −1.71340e7 + 3.91072e6i −0.327524 + 0.0747552i
\(375\) 4.47992e6 + 2.15742e6i 0.0849526 + 0.0409110i
\(376\) 3.39237e7 + 2.70532e7i 0.638175 + 0.508927i
\(377\) −1.27094e6 290085.i −0.0237193 0.00541378i
\(378\) −7.78987e6 6.21221e6i −0.144230 0.115019i
\(379\) 2.68155e6 + 1.17486e7i 0.0492571 + 0.215809i 0.993567 0.113249i \(-0.0361258\pi\)
−0.944310 + 0.329058i \(0.893269\pi\)
\(380\) −7.53270e6 −0.137278
\(381\) 6.80133e6i 0.122976i
\(382\) 1.64589e6 + 7.21109e6i 0.0295263 + 0.129363i
\(383\) 8.13855e7 6.49028e7i 1.44861 1.15523i 0.489564 0.871967i \(-0.337156\pi\)
0.959044 0.283259i \(-0.0914155\pi\)
\(384\) −252120. + 121415.i −0.00445260 + 0.00214426i
\(385\) 4.51313e7 + 2.17341e7i 0.790854 + 0.380855i
\(386\) 5.47701e7i 0.952318i
\(387\) 1.90135e7 + 5.42912e7i 0.328042 + 0.936691i
\(388\) −4.36941e7 −0.748045
\(389\) −2.52969e7 + 5.25296e7i −0.429753 + 0.892391i 0.567846 + 0.823135i \(0.307777\pi\)
−0.997599 + 0.0692562i \(0.977937\pi\)
\(390\) 224924. + 467060.i 0.00379178 + 0.00787370i
\(391\) 1.60245e7 + 2.00941e7i 0.268074 + 0.336154i
\(392\) −6.38576e7 + 1.45751e7i −1.06012 + 0.241965i
\(393\) 2.40250e6 0.0395810
\(394\) 7.73375e6i 0.126445i
\(395\) 2.03242e7 4.63887e6i 0.329779 0.0752698i
\(396\) 1.22075e7 1.53077e7i 0.196580 0.246504i
\(397\) −2.06807e7 + 9.06083e7i −0.330518 + 1.44809i 0.487613 + 0.873060i \(0.337868\pi\)
−0.818131 + 0.575032i \(0.804989\pi\)
\(398\) −4.33089e7 + 5.43076e7i −0.686954 + 0.861413i
\(399\) 1.27358e6 2.64461e6i 0.0200496 0.0416335i
\(400\) 1.55757e6 + 6.82416e6i 0.0243370 + 0.106628i
\(401\) 7.23519e7 + 3.48428e7i 1.12206 + 0.540356i 0.900529 0.434797i \(-0.143180\pi\)
0.221533 + 0.975153i \(0.428894\pi\)
\(402\) 3.01705e6 + 3.78326e6i 0.0464413 + 0.0582356i
\(403\) 393130. 1.72242e6i 0.00600650 0.0263162i
\(404\) −2.99510e6 + 1.31224e7i −0.0454221 + 0.199007i
\(405\) 2.37757e7 + 4.93707e7i 0.357905 + 0.743198i
\(406\) −8.57186e6 + 6.83583e6i −0.128085 + 0.102144i
\(407\) −1.11456e7 8.88829e6i −0.165317 0.131836i
\(408\) 3.48096e6 1.67634e6i 0.0512530 0.0246821i
\(409\) −5.25467e7 1.09114e8i −0.768026 1.59482i −0.803394 0.595448i \(-0.796975\pi\)
0.0353684 0.999374i \(-0.488740\pi\)
\(410\) −1.49927e7 + 1.88002e7i −0.217534 + 0.272779i
\(411\) 3.71883e6 + 4.66327e6i 0.0535650 + 0.0671684i
\(412\) −3.19653e7 + 1.53937e7i −0.457075 + 0.220116i
\(413\) −3.51997e7 8.03410e6i −0.499676 0.114048i
\(414\) 3.65903e7 + 8.35150e6i 0.515662 + 0.117697i
\(415\) 7.63171e7 6.08608e7i 1.06777 0.851517i
\(416\) 3.92517e6 8.15069e6i 0.0545228 0.113218i
\(417\) −2.18363e6 + 498399.i −0.0301142 + 0.00687336i
\(418\) −1.36755e7 6.58576e6i −0.187246 0.0901731i
\(419\) 4.74066e6 + 3.78055e6i 0.0644461 + 0.0513940i 0.655183 0.755470i \(-0.272591\pi\)
−0.590737 + 0.806864i \(0.701163\pi\)
\(420\) −3.24277e6 740140.i −0.0437691 0.00999001i
\(421\) 9.90509e7 + 7.89905e7i 1.32743 + 1.05859i 0.993239 + 0.116087i \(0.0370352\pi\)
0.334193 + 0.942505i \(0.391536\pi\)
\(422\) −1.45259e7 6.36423e7i −0.193289 0.846854i
\(423\) 5.68210e7 0.750737
\(424\) 6.99564e7i 0.917762i
\(425\) 2.98761e6 + 1.30896e7i 0.0389186 + 0.170513i
\(426\) 5.55034e6 4.42625e6i 0.0717945 0.0572542i
\(427\) −7.68648e6 + 3.70161e6i −0.0987288 + 0.0475453i
\(428\) 5.29943e7 + 2.55207e7i 0.675923 + 0.325508i
\(429\) 796923.i 0.0100936i
\(430\) −3.57421e7 3.57231e7i −0.449547 0.449308i
\(431\) −1.06466e8 −1.32978 −0.664890 0.746941i \(-0.731522\pi\)
−0.664890 + 0.746941i \(0.731522\pi\)
\(432\) 2.29763e6 4.77108e6i 0.0284989 0.0591787i
\(433\) 1.39680e7 + 2.90048e7i 0.172056 + 0.357278i 0.969110 0.246631i \(-0.0793234\pi\)
−0.797053 + 0.603909i \(0.793609\pi\)
\(434\) −9.26410e6 1.16168e7i −0.113327 0.142108i
\(435\) −901979. + 205871.i −0.0109579 + 0.00250108i
\(436\) 3.13560e7 0.378321
\(437\) 2.21974e7i 0.265985i
\(438\) −7.36099e6 + 1.68010e6i −0.0876019 + 0.0199946i
\(439\) −2.47684e7 + 3.10585e7i −0.292755 + 0.367103i −0.906357 0.422512i \(-0.861148\pi\)
0.613603 + 0.789615i \(0.289720\pi\)
\(440\) −1.26714e7 + 5.55171e7i −0.148753 + 0.651731i
\(441\) −5.34796e7 + 6.70613e7i −0.623552 + 0.781909i
\(442\) −2.71732e6 + 5.64256e6i −0.0314683 + 0.0653446i
\(443\) −2.04106e7 8.94248e7i −0.234771 1.02860i −0.945625 0.325260i \(-0.894548\pi\)
0.710853 0.703340i \(-0.248309\pi\)
\(444\) 852851. + 410711.i 0.00974370 + 0.00469232i
\(445\) −7.62537e7 9.56191e7i −0.865328 1.08509i
\(446\) −1.97725e7 + 8.66288e7i −0.222872 + 0.976468i
\(447\) −698457. + 3.06014e6i −0.00782019 + 0.0342625i
\(448\) −5.40156e7 1.12164e8i −0.600738 1.24744i
\(449\) −2.36662e7 + 1.88731e7i −0.261450 + 0.208500i −0.745438 0.666575i \(-0.767759\pi\)
0.483987 + 0.875075i \(0.339188\pi\)
\(450\) 1.53287e7 + 1.22242e7i 0.168216 + 0.134148i
\(451\) 3.33053e7 1.60390e7i 0.363064 0.174843i
\(452\) 2.50720e7 + 5.20625e7i 0.271502 + 0.563780i
\(453\) 4.26484e6 5.34794e6i 0.0458784 0.0575296i
\(454\) −2.34705e7 2.94311e7i −0.250816 0.314513i
\(455\) 1.60827e7 7.74503e6i 0.170736 0.0822222i
\(456\) 3.25319e6 + 742519.i 0.0343095 + 0.00783093i
\(457\) −4.99753e7 1.14065e7i −0.523609 0.119510i −0.0474570 0.998873i \(-0.515112\pi\)
−0.476152 + 0.879363i \(0.657969\pi\)
\(458\) −4.79323e6 + 3.82247e6i −0.0498921 + 0.0397876i
\(459\) 4.40713e6 9.15150e6i 0.0455741 0.0946355i
\(460\) 2.45226e7 5.59712e6i 0.251937 0.0575031i
\(461\) −6.83480e7 3.29147e7i −0.697627 0.335959i 0.0512339 0.998687i \(-0.483685\pi\)
−0.748861 + 0.662727i \(0.769399\pi\)
\(462\) −5.24008e6 4.17882e6i −0.0531388 0.0423768i
\(463\) −3.01568e7 6.88308e6i −0.303838 0.0693490i 0.0678839 0.997693i \(-0.478375\pi\)
−0.371722 + 0.928344i \(0.621232\pi\)
\(464\) −4.55580e6 3.63313e6i −0.0456048 0.0363686i
\(465\) −279002. 1.22239e6i −0.00277490 0.0121576i
\(466\) 1.42589e8 1.40906
\(467\) 1.73581e6i 0.0170432i 0.999964 + 0.00852160i \(0.00271254\pi\)
−0.999964 + 0.00852160i \(0.997287\pi\)
\(468\) −1.55256e6 6.80221e6i −0.0151464 0.0663609i
\(469\) 1.30273e8 1.03889e8i 1.26280 1.00705i
\(470\) −4.49725e7 + 2.16576e7i −0.433165 + 0.208601i
\(471\) 8.92635e6 + 4.29870e6i 0.0854301 + 0.0411410i
\(472\) 4.10442e7i 0.390324i
\(473\) 2.56770e7 + 7.33180e7i 0.242639 + 0.692831i
\(474\) −2.78931e6 −0.0261916
\(475\) −5.03122e6 + 1.04474e7i −0.0469453 + 0.0974829i
\(476\) −1.74349e7 3.62040e7i −0.161659 0.335688i
\(477\) −5.71184e7 7.16242e7i −0.526285 0.659940i
\(478\) −1.03908e8 + 2.37162e7i −0.951401 + 0.217151i
\(479\) 1.28183e8 1.16633 0.583167 0.812352i \(-0.301813\pi\)
0.583167 + 0.812352i \(0.301813\pi\)
\(480\) 6.42029e6i 0.0580539i
\(481\) −4.95270e6 + 1.13042e6i −0.0445048 + 0.0101579i
\(482\) 7.18996e7 9.01592e7i 0.642074 0.805136i
\(483\) −2.18105e6 + 9.55579e6i −0.0193564 + 0.0848057i
\(484\) −1.41063e7 + 1.76888e7i −0.124416 + 0.156013i
\(485\) 7.22060e7 1.49937e8i 0.632919 1.31427i
\(486\) −4.95713e6 2.17186e7i −0.0431838 0.189201i
\(487\) −3.78494e7 1.82273e7i −0.327697 0.157811i 0.262800 0.964850i \(-0.415354\pi\)
−0.590497 + 0.807040i \(0.701068\pi\)
\(488\) −6.04689e6 7.58256e6i −0.0520323 0.0652464i
\(489\) −1.33607e6 + 5.85372e6i −0.0114262 + 0.0500617i
\(490\) 1.67671e7 7.34614e7i 0.142518 0.624412i
\(491\) 8.35082e7 + 1.73407e8i 0.705480 + 1.46494i 0.877363 + 0.479827i \(0.159300\pi\)
−0.171883 + 0.985117i \(0.554985\pi\)
\(492\) −1.91907e6 + 1.53041e6i −0.0161137 + 0.0128503i
\(493\) −8.73858e6 6.96878e6i −0.0729289 0.0581589i
\(494\) −4.87330e6 + 2.34686e6i −0.0404243 + 0.0194673i
\(495\) 3.23554e7 + 6.71866e7i 0.266766 + 0.553945i
\(496\) 4.92372e6 6.17414e6i 0.0403504 0.0505978i
\(497\) −1.52413e8 1.91120e8i −1.24152 1.55682i
\(498\) −1.17672e7 + 5.66680e6i −0.0952766 + 0.0458828i
\(499\) 8.32958e7 + 1.90117e7i 0.670380 + 0.153010i 0.544146 0.838991i \(-0.316854\pi\)
0.126234 + 0.992000i \(0.459711\pi\)
\(500\) 5.73159e7 + 1.30820e7i 0.458528 + 0.104656i
\(501\) −1.27312e7 + 1.01528e7i −0.101241 + 0.0807366i
\(502\) −2.64983e6 + 5.50244e6i −0.0209463 + 0.0434955i
\(503\) −5.82375e7 + 1.32923e7i −0.457613 + 0.104447i −0.445113 0.895475i \(-0.646836\pi\)
−0.0125006 + 0.999922i \(0.503979\pi\)
\(504\) −1.75035e8 8.42924e7i −1.36720 0.658411i
\(505\) −4.00803e7 3.19629e7i −0.311212 0.248183i
\(506\) 4.94137e7 + 1.12784e7i 0.381414 + 0.0870552i
\(507\) 8.61799e6 + 6.87262e6i 0.0661275 + 0.0527349i
\(508\) −1.78940e7 7.83987e7i −0.136495 0.598023i
\(509\) 4.11004e7 0.311669 0.155834 0.987783i \(-0.450193\pi\)
0.155834 + 0.987783i \(0.450193\pi\)
\(510\) 4.44464e6i 0.0335063i
\(511\) 5.78523e7 + 2.53468e8i 0.433569 + 1.89959i
\(512\) 7.46408e7 5.95240e7i 0.556117 0.443489i
\(513\) 7.90386e6 3.80630e6i 0.0585446 0.0281936i
\(514\) −3.43255e7 1.65303e7i −0.252771 0.121728i
\(515\) 1.35128e8i 0.989291i
\(516\) −2.74555e6 4.36694e6i −0.0199839 0.0317854i
\(517\) 7.67345e7 0.555289
\(518\) −1.85375e7 + 3.84935e7i −0.133371 + 0.276948i
\(519\) −1.76741e6 3.67007e6i −0.0126426 0.0262526i
\(520\) 1.26522e7 + 1.58653e7i 0.0899818 + 0.112834i
\(521\) 2.26119e7 5.16102e6i 0.159891 0.0364940i −0.141826 0.989892i \(-0.545297\pi\)
0.301717 + 0.953398i \(0.402440\pi\)
\(522\) −1.63217e7 −0.114751
\(523\) 1.45802e8i 1.01920i 0.860412 + 0.509599i \(0.170206\pi\)
−0.860412 + 0.509599i \(0.829794\pi\)
\(524\) 2.76936e7 6.32088e6i 0.192480 0.0439322i
\(525\) −3.19243e6 + 4.00318e6i −0.0220619 + 0.0276648i
\(526\) −3.20854e7 + 1.40575e8i −0.220470 + 0.965943i
\(527\) 9.44428e6 1.18428e7i 0.0645263 0.0809135i
\(528\) 1.54557e6 3.20940e6i 0.0104999 0.0218033i
\(529\) 1.64475e7 + 7.20611e7i 0.111105 + 0.486781i
\(530\) 7.25078e7 + 3.49179e7i 0.487031 + 0.234542i
\(531\) −3.35120e7 4.20227e7i −0.223829 0.280673i
\(532\) 7.72262e6 3.38350e7i 0.0512896 0.224715i
\(533\) 2.93127e6 1.28427e7i 0.0193586 0.0848156i
\(534\) 7.10005e6 + 1.47434e7i 0.0466270 + 0.0968219i
\(535\) −1.75150e8 + 1.39677e8i −1.14379 + 0.912145i
\(536\) 1.48094e8 + 1.18101e8i 0.961711 + 0.766939i
\(537\) −5.14267e6 + 2.47658e6i −0.0332098 + 0.0159930i
\(538\) 2.80117e7 + 5.81669e7i 0.179884 + 0.373533i
\(539\) −7.22220e7 + 9.05635e7i −0.461215 + 0.578345i
\(540\) −6.19799e6 7.77203e6i −0.0393613 0.0493575i
\(541\) −2.63767e8 + 1.27024e8i −1.66583 + 0.802219i −0.667485 + 0.744623i \(0.732629\pi\)
−0.998340 + 0.0575962i \(0.981656\pi\)
\(542\) 1.96625e8 + 4.48784e7i 1.23493 + 0.281864i
\(543\) 1.76909e7 + 4.03783e6i 0.110497 + 0.0252202i
\(544\) 6.06417e7 4.83602e7i 0.376682 0.300394i
\(545\) −5.18168e7 + 1.07599e8i −0.320097 + 0.664687i
\(546\) −2.32851e6 + 531468.i −0.0143054 + 0.00326512i
\(547\) 4.47452e7 + 2.15481e7i 0.273391 + 0.131658i 0.565556 0.824710i \(-0.308662\pi\)
−0.292165 + 0.956368i \(0.594376\pi\)
\(548\) 5.51357e7 + 4.39693e7i 0.335036 + 0.267182i
\(549\) −1.23821e7 2.82613e6i −0.0748303 0.0170795i
\(550\) 2.07008e7 + 1.65083e7i 0.124422 + 0.0992234i
\(551\) −2.14806e6 9.41124e6i −0.0128408 0.0562590i
\(552\) −1.11424e7 −0.0662464
\(553\) 9.60470e7i 0.567948i
\(554\) −1.72702e6 7.56658e6i −0.0101571 0.0445011i
\(555\) −2.81873e6 + 2.24786e6i −0.0164882 + 0.0131489i
\(556\) −2.38593e7 + 1.14901e7i −0.138814 + 0.0668494i
\(557\) −1.65874e8 7.98808e7i −0.959872 0.462250i −0.112735 0.993625i \(-0.535961\pi\)
−0.847137 + 0.531375i \(0.821676\pi\)
\(558\) 2.21197e7i 0.127314i
\(559\) 2.61320e7 + 9.13619e6i 0.149602 + 0.0523034i
\(560\) 7.97898e7 0.454343
\(561\) 2.96458e6 6.15602e6i 0.0167909 0.0348667i
\(562\) 1.06728e7 + 2.21624e7i 0.0601271 + 0.124855i
\(563\) −1.32434e8 1.66067e8i −0.742121 0.930590i 0.257240 0.966348i \(-0.417187\pi\)
−0.999360 + 0.0357574i \(0.988616\pi\)
\(564\) −4.96750e6 + 1.13380e6i −0.0276886 + 0.00631973i
\(565\) −2.20086e8 −1.22024
\(566\) 2.19487e8i 1.21048i
\(567\) −2.46136e8 + 5.61789e7i −1.35029 + 0.308194i
\(568\) 1.73264e8 2.17266e8i 0.945503 1.18562i
\(569\) −1.85537e7 + 8.12893e7i −0.100715 + 0.441262i 0.899277 + 0.437379i \(0.144093\pi\)
−0.999992 + 0.00388303i \(0.998764\pi\)
\(570\) −2.39339e6 + 3.00121e6i −0.0129238 + 0.0162059i
\(571\) 5.65005e7 1.17325e8i 0.303490 0.630203i −0.692326 0.721585i \(-0.743414\pi\)
0.995816 + 0.0913815i \(0.0291283\pi\)
\(572\) −2.09667e6 9.18610e6i −0.0112032 0.0490844i
\(573\) −2.59086e6 1.24769e6i −0.0137714 0.00663198i
\(574\) −6.90752e7 8.66176e7i −0.365247 0.458005i
\(575\) 8.61615e6 3.77498e7i 0.0453221 0.198569i
\(576\) 4.12402e7 1.80685e8i 0.215801 0.945486i
\(577\) −3.06430e7 6.36308e7i −0.159516 0.331238i 0.805858 0.592109i \(-0.201704\pi\)
−0.965374 + 0.260871i \(0.915990\pi\)
\(578\) 7.17245e7 5.71984e7i 0.371436 0.296211i
\(579\) −1.66480e7 1.32763e7i −0.0857681 0.0683978i
\(580\) −9.85544e6 + 4.74613e6i −0.0505117 + 0.0243252i
\(581\) 1.95130e8 + 4.05192e8i 0.994938 + 2.06601i
\(582\) −1.38831e7 + 1.74088e7i −0.0704233 + 0.0883080i
\(583\) −7.71361e7 9.67256e7i −0.389271 0.488130i
\(584\) −2.66284e8 + 1.28236e8i −1.33692 + 0.643829i
\(585\) 2.59076e7 + 5.91323e6i 0.129407 + 0.0295364i
\(586\) 8.13689e7 + 1.85719e7i 0.404358 + 0.0922920i
\(587\) 1.10311e8 8.79702e7i 0.545387 0.434932i −0.311642 0.950200i \(-0.600879\pi\)
0.857029 + 0.515268i \(0.172307\pi\)
\(588\) 3.33725e6 6.92986e6i 0.0164156 0.0340873i
\(589\) 1.27544e7 2.91110e6i 0.0624185 0.0142466i
\(590\) 4.25411e7 + 2.04867e7i 0.207135 + 0.0997507i
\(591\) −2.35076e6 1.87467e6i −0.0113880 0.00908159i
\(592\) −2.21381e7 5.05288e6i −0.106703 0.0243542i
\(593\) 1.79045e8 + 1.42783e8i 0.858613 + 0.684721i 0.950391 0.311059i \(-0.100684\pi\)
−0.0917780 + 0.995779i \(0.529255\pi\)
\(594\) −4.45732e6 1.95288e7i −0.0212674 0.0931786i
\(595\) 1.53047e8 0.726562
\(596\) 3.71117e7i 0.175296i
\(597\) −6.00929e6 2.63284e7i −0.0282423 0.123738i
\(598\) 1.41211e7 1.12612e7i 0.0660338 0.0526602i
\(599\) −9.09512e7 + 4.37998e7i −0.423183 + 0.203794i −0.633340 0.773874i \(-0.718317\pi\)
0.210158 + 0.977668i \(0.432602\pi\)
\(600\) −5.24429e6 2.52552e6i −0.0242791 0.0116922i
\(601\) 1.62986e8i 0.750803i −0.926862 0.375402i \(-0.877505\pi\)
0.926862 0.375402i \(-0.122495\pi\)
\(602\) 1.97102e8 1.23921e8i 0.903446 0.568008i
\(603\) 2.48053e8 1.13134
\(604\) 3.50904e7 7.28660e7i 0.159249 0.330685i
\(605\) −3.73882e7 7.76373e7i −0.168837 0.350594i
\(606\) 4.27664e6 + 5.36274e6i 0.0192170 + 0.0240973i
\(607\) −2.31342e8 + 5.28024e7i −1.03440 + 0.236095i −0.705828 0.708383i \(-0.749425\pi\)
−0.328573 + 0.944479i \(0.606568\pi\)
\(608\) 6.69893e7 0.298054
\(609\) 4.26252e6i 0.0188719i
\(610\) 1.08773e7 2.48268e6i 0.0479218 0.0109378i
\(611\) 1.70491e7 2.13789e7i 0.0747442 0.0937263i
\(612\) 1.33113e7 5.83208e7i 0.0580721 0.254431i
\(613\) 6.52690e7 8.18448e7i 0.283352 0.355312i −0.619704 0.784836i \(-0.712747\pi\)
0.903055 + 0.429524i \(0.141319\pi\)
\(614\) −1.34571e8 + 2.79441e8i −0.581364 + 1.20721i
\(615\) −2.08030e6 9.11438e6i −0.00894335 0.0391834i
\(616\) −2.36378e8 1.13833e8i −1.01126 0.486999i
\(617\) −1.92922e8 2.41916e8i −0.821344 1.02993i −0.998949 0.0458314i \(-0.985406\pi\)
0.177605 0.984102i \(-0.443165\pi\)
\(618\) −4.02321e6 + 1.76268e7i −0.0170454 + 0.0746808i
\(619\) 7.13660e7 3.12675e8i 0.300898 1.31832i −0.567877 0.823114i \(-0.692235\pi\)
0.868775 0.495207i \(-0.164908\pi\)
\(620\) −6.43208e6 1.33564e7i −0.0269884 0.0560419i
\(621\) −2.29026e7 + 1.82642e7i −0.0956336 + 0.0762653i
\(622\) 7.58236e7 + 6.04673e7i 0.315089 + 0.251275i
\(623\) 5.07673e8 2.44482e8i 2.09952 1.01108i
\(624\) −550768. 1.14368e6i −0.00226681 0.00470708i
\(625\) −9.57930e7 + 1.20121e8i −0.392368 + 0.492014i
\(626\) −1.60952e8 2.01827e8i −0.656103 0.822727i
\(627\) 5.31676e6 2.56042e6i 0.0215697 0.0103874i
\(628\) 1.14203e8 + 2.60662e7i 0.461105 + 0.105244i
\(629\) −4.24635e7 9.69202e6i −0.170633 0.0389460i
\(630\) 1.74733e8 1.39345e8i 0.698801 0.557275i
\(631\) −4.56312e7 + 9.47542e7i −0.181624 + 0.377147i −0.971826 0.235700i \(-0.924262\pi\)
0.790201 + 0.612847i \(0.209976\pi\)
\(632\) −1.06449e8 + 2.42963e7i −0.421687 + 0.0962474i
\(633\) 2.28659e7 + 1.10116e7i 0.0901523 + 0.0434150i
\(634\) −2.37142e8 1.89114e8i −0.930551 0.742090i
\(635\) 2.98597e8 + 6.81529e7i 1.16618 + 0.266172i
\(636\) 6.42267e6 + 5.12191e6i 0.0249657 + 0.0199095i
\(637\) 9.18528e6 + 4.02433e7i 0.0355365 + 0.155695i
\(638\) −2.20418e7 −0.0848762
\(639\) 3.63913e8i 1.39475i
\(640\) −2.80406e6 1.22854e7i −0.0106966 0.0468651i
\(641\) 4.88536e7 3.89594e7i 0.185491 0.147924i −0.526342 0.850273i \(-0.676437\pi\)
0.711833 + 0.702349i \(0.247865\pi\)
\(642\) 2.70061e7 1.30055e7i 0.102060 0.0491496i
\(643\) −1.12694e8 5.42705e7i −0.423904 0.204141i 0.209755 0.977754i \(-0.432733\pi\)
−0.633659 + 0.773613i \(0.718448\pi\)
\(644\) 1.15887e8i 0.433889i
\(645\) 1.95223e7 2.20490e6i 0.0727533 0.00821692i
\(646\) −4.63754e7 −0.172024
\(647\) −6.99913e7 + 1.45338e8i −0.258423 + 0.536621i −0.989301 0.145887i \(-0.953396\pi\)
0.730878 + 0.682508i \(0.239111\pi\)
\(648\) −1.24526e8 2.58582e8i −0.457653 0.950326i
\(649\) −4.52566e7 5.67499e7i −0.165557 0.207602i
\(650\) 9.19871e6 2.09954e6i 0.0334955 0.00764513i
\(651\) 5.77669e6 0.0209380
\(652\) 7.09907e7i 0.256129i
\(653\) −5.15400e7 + 1.17637e7i −0.185099 + 0.0422478i −0.314066 0.949401i \(-0.601691\pi\)
0.128966 + 0.991649i \(0.458834\pi\)
\(654\) 9.96283e6 1.24930e7i 0.0356164 0.0446615i
\(655\) −2.40743e7 + 1.05476e8i −0.0856703 + 0.375346i
\(656\) 3.67123e7 4.60358e7i 0.130047 0.163074i
\(657\) −1.67930e8 + 3.48710e8i −0.592150 + 1.22961i
\(658\) −5.11742e7 2.24209e8i −0.179628 0.787000i
\(659\) 2.59599e8 + 1.25016e8i 0.907084 + 0.436829i 0.828442 0.560074i \(-0.189227\pi\)
0.0786416 + 0.996903i \(0.474942\pi\)
\(660\) −4.16925e6 5.22808e6i −0.0145020 0.0181849i
\(661\) 2.00354e7 8.77806e7i 0.0693733 0.303944i −0.928324 0.371773i \(-0.878750\pi\)
0.997697 + 0.0678286i \(0.0216071\pi\)
\(662\) −5.69657e6 + 2.49583e7i −0.0196354 + 0.0860283i
\(663\) −1.05644e6 2.19372e6i −0.00362497 0.00752733i
\(664\) −3.99714e8 + 3.18762e8i −1.36535 + 1.08883i
\(665\) 1.03344e8 + 8.24138e7i 0.351414 + 0.280243i
\(666\) −5.73050e7 + 2.75966e7i −0.193986 + 0.0934185i
\(667\) 1.39859e7 + 2.90420e7i 0.0471317 + 0.0978700i
\(668\) −1.20040e8 + 1.50525e8i −0.402714 + 0.504987i
\(669\) −2.15389e7 2.70090e7i −0.0719359 0.0902048i
\(670\) −1.96328e8 + 9.45466e7i −0.652767 + 0.314356i
\(671\) −1.67215e7 3.81658e6i −0.0553488 0.0126330i
\(672\) 2.88383e7 + 6.58216e6i 0.0950304 + 0.0216901i
\(673\) 1.61975e8 1.29171e8i 0.531378 0.423760i −0.320695 0.947182i \(-0.603917\pi\)
0.852073 + 0.523423i \(0.175345\pi\)
\(674\) 1.08630e7 2.25573e7i 0.0354790 0.0736728i
\(675\) −1.49191e7 + 3.40519e6i −0.0485100 + 0.0110721i
\(676\) 1.17421e8 + 5.65469e7i 0.380106 + 0.183049i
\(677\) −3.47863e8 2.77412e8i −1.12110 0.894044i −0.125909 0.992042i \(-0.540185\pi\)
−0.995187 + 0.0979982i \(0.968756\pi\)
\(678\) 2.87092e7 + 6.55268e6i 0.0921153 + 0.0210247i
\(679\) 5.99454e8 + 4.78049e8i 1.91490 + 1.52708i
\(680\) 3.87150e7 + 1.69622e8i 0.123127 + 0.539454i
\(681\) 1.46352e7 0.0463401
\(682\) 2.98717e7i 0.0941687i
\(683\) −7.75309e6 3.39685e7i −0.0243340 0.106614i 0.961302 0.275495i \(-0.0888418\pi\)
−0.985636 + 0.168881i \(0.945985\pi\)
\(684\) 4.03935e7 3.22127e7i 0.126224 0.100660i
\(685\) −2.41995e8 + 1.16539e8i −0.752895 + 0.362575i
\(686\) 2.38509e6 + 1.14860e6i 0.00738809 + 0.00355792i
\(687\) 2.38353e6i 0.00735105i
\(688\) 8.75210e7 + 8.74745e7i 0.268749 + 0.268606i
\(689\) −4.40869e7 −0.134788
\(690\) 5.56160e6 1.15488e7i 0.0169298 0.0351552i
\(691\) 4.92143e7 + 1.02194e8i 0.149162 + 0.309737i 0.962140 0.272557i \(-0.0878694\pi\)
−0.812978 + 0.582294i \(0.802155\pi\)
\(692\) −3.00287e7 3.76548e7i −0.0906188 0.113632i
\(693\) −3.34956e8 + 7.64516e7i −1.00644 + 0.229714i
\(694\) −3.60127e8 −1.07740
\(695\) 1.00862e8i 0.300449i
\(696\) 4.72416e6 1.07826e6i 0.0140119 0.00319812i
\(697\) 7.04187e7 8.83022e7i 0.207965 0.260779i
\(698\) −8.56826e7 + 3.75400e8i −0.251957 + 1.10390i
\(699\) −3.45637e7 + 4.33415e7i −0.101202 + 0.126903i
\(700\) −2.62668e7 + 5.45436e7i −0.0765796 + 0.159019i
\(701\) −9.67754e7 4.24001e8i −0.280938 1.23087i −0.896593 0.442855i \(-0.853966\pi\)
0.615655 0.788016i \(-0.288892\pi\)
\(702\) −6.43123e6 3.09712e6i −0.0185901 0.00895254i
\(703\) −2.34542e7 2.94106e7i −0.0675078 0.0846521i
\(704\) 5.56932e7 2.44008e8i 0.159619 0.699336i
\(705\) 4.31830e6 1.89197e7i 0.0123238 0.0539942i
\(706\) 6.82314e7 + 1.41684e8i 0.193897 + 0.402630i
\(707\) 1.84660e8 1.47262e8i 0.522535 0.416707i
\(708\) 3.76825e6 + 3.00508e6i 0.0106179 + 0.00846752i
\(709\) 1.32315e8 6.37195e7i 0.371253 0.178786i −0.238949 0.971032i \(-0.576803\pi\)
0.610202 + 0.792246i \(0.291088\pi\)
\(710\) 1.38707e8 + 2.88028e8i 0.387547 + 0.804749i
\(711\) −8.91492e7 + 1.11790e8i −0.248033 + 0.311023i
\(712\) 3.99383e8 + 5.00810e8i 1.10649 + 1.38750i
\(713\) −3.93585e7 + 1.89541e7i −0.108585 + 0.0522919i
\(714\) −1.99642e7 4.55670e6i −0.0548476 0.0125186i
\(715\) 3.49871e7 + 7.98558e6i 0.0957172 + 0.0218468i
\(716\) −5.27636e7 + 4.20776e7i −0.143746 + 0.114634i
\(717\) 1.79785e7 3.73327e7i 0.0487748 0.101282i
\(718\) −3.26161e8 + 7.44440e7i −0.881167 + 0.201121i
\(719\) 4.07065e8 + 1.96032e8i 1.09516 + 0.527400i 0.892133 0.451773i \(-0.149208\pi\)
0.203025 + 0.979174i \(0.434923\pi\)
\(720\) 9.28678e7 + 7.40596e7i 0.248810 + 0.198419i
\(721\) 6.06962e8 + 1.38535e8i 1.61940 + 0.369619i
\(722\) 1.90306e8 + 1.51764e8i 0.505639 + 0.403234i
\(723\) 9.97637e6 + 4.37093e7i 0.0263972 + 0.115654i
\(724\) 2.14546e8 0.565332
\(725\) 1.68389e7i 0.0441877i
\(726\) 2.56559e6 + 1.12406e7i 0.00670468 + 0.0293751i
\(727\) 3.22701e8 2.57345e8i 0.839840 0.669750i −0.106006 0.994366i \(-0.533806\pi\)
0.945846 + 0.324615i \(0.105235\pi\)
\(728\) −8.42341e7 + 4.05650e7i −0.218320 + 0.105137i
\(729\) −3.33388e8 1.60551e8i −0.860533 0.414411i
\(730\) 3.40003e8i 0.874005i
\(731\) 1.67876e8 + 1.67787e8i 0.429770 + 0.429542i
\(732\) 1.13888e6 0.00290365
\(733\) −1.64914e8 + 3.42448e8i −0.418742 + 0.869526i 0.579759 + 0.814788i \(0.303147\pi\)
−0.998501 + 0.0547383i \(0.982568\pi\)
\(734\) −1.18754e8 2.46596e8i −0.300304 0.623588i
\(735\) 1.82651e7 + 2.29037e7i 0.0460001 + 0.0576823i
\(736\) −2.18082e8 + 4.97759e7i −0.547000 + 0.124849i
\(737\) 3.34986e8 0.836804
\(738\) 1.64929e8i 0.410325i
\(739\) 2.59792e8 5.92959e7i 0.643714 0.146924i 0.111812 0.993729i \(-0.464335\pi\)
0.531902 + 0.846806i \(0.321477\pi\)
\(740\) −2.65773e7 + 3.33269e7i −0.0655868 + 0.0822433i
\(741\) 467939. 2.05018e6i 0.00115010 0.00503891i
\(742\) −2.31178e8 + 2.89888e8i −0.565894 + 0.709609i
\(743\) −1.02698e8 + 2.13255e8i −0.250378 + 0.519916i −0.987840 0.155473i \(-0.950310\pi\)
0.737462 + 0.675389i \(0.236024\pi\)
\(744\) 1.46129e6 + 6.40231e6i 0.00354827 + 0.0155460i
\(745\) −1.27350e8 6.13284e7i −0.307985 0.148318i
\(746\) −3.16812e8 3.97270e8i −0.763108 0.956907i
\(747\) −1.48979e8 + 6.52722e8i −0.357408 + 1.56591i
\(748\) 1.79764e7 7.87599e7i 0.0429535 0.188192i
\(749\) −4.47829e8 9.29926e8i −1.06578 2.21311i
\(750\) 2.34234e7 1.86795e7i 0.0555220 0.0442773i
\(751\) 5.05111e7 + 4.02812e7i 0.119252 + 0.0951005i 0.681300 0.732004i \(-0.261415\pi\)
−0.562048 + 0.827105i \(0.689986\pi\)
\(752\) 1.10123e8 5.30326e7i 0.258956 0.124707i
\(753\) −1.03020e6 2.13924e6i −0.00241290 0.00501043i
\(754\) −4.89732e6 + 6.14104e6i −0.0114247 + 0.0143261i
\(755\) 1.92053e8 + 2.40827e8i 0.446253 + 0.559583i
\(756\) 4.12642e7 1.98718e7i 0.0955011 0.0459909i
\(757\) 1.49884e8 + 3.42100e7i 0.345515 + 0.0788615i 0.391757 0.920069i \(-0.371867\pi\)
−0.0462421