Properties

Label 43.7.f.a.2.14
Level 43
Weight 7
Character 43.2
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 2.14
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.14

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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 0.998035 0.0626580i \(-0.0199577\pi\)
−0.671253 + 0.741229i \(0.734243\pi\)
\(3\) 1.01637 2.11052i 0.0376435 0.0781675i −0.881299 0.472559i \(-0.843330\pi\)
0.918942 + 0.394392i \(0.129045\pi\)
\(4\) 17.2684 21.6539i 0.269818 0.338342i
\(5\) −102.842 23.4731i −0.822738 0.187785i −0.209627 0.977781i \(-0.567225\pi\)
−0.613111 + 0.789997i \(0.710082\pi\)
\(6\) 14.1142 0.0653434
\(7\) 486.006i 1.41693i 0.705747 + 0.708464i \(0.250611\pi\)
−0.705747 + 0.708464i \(0.749389\pi\)
\(8\) 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 0.956111 0.293005i \(-0.0946551\pi\)
−0.498413 + 0.866940i \(0.666084\pi\)
\(12\) −28.1498 58.4537i −0.0162904 0.0338274i
\(13\) −77.4782 + 339.454i −0.0352655 + 0.154508i −0.989495 0.144567i \(-0.953821\pi\)
0.954230 + 0.299075i \(0.0966782\pi\)
\(14\) −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 0.996449 + 0.0841927i \(0.0268311\pi\)
−0.861240 + 0.508198i \(0.830312\pi\)
\(18\) −1891.45 + 3927.64i −0.324323 + 0.673463i
\(19\) 2015.78 + 1607.53i 0.293888 + 0.234368i 0.759323 0.650714i \(-0.225530\pi\)
−0.465434 + 0.885082i \(0.654102\pi\)
\(20\) −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 0.510672 0.859776i \(-0.329397\pi\)
−0.951854 + 0.306550i \(0.900825\pi\)
\(24\) 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 0.931615 0.363448i \(-0.118400\pi\)
−0.865007 + 0.501760i \(0.832686\pi\)
\(30\) −1451.53 331.303i −0.0537605 0.0122705i
\(31\) 4571.58 2201.56i 0.153455 0.0739001i −0.355580 0.934646i \(-0.615717\pi\)
0.509035 + 0.860746i \(0.330002\pi\)
\(32\) 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 \(0.0460033\pi\)
−0.989575 + 0.144021i \(0.953997\pi\)
\(38\) −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 −0.169932 0.985456i \(-0.554355\pi\)
0.664509 + 0.747280i \(0.268641\pi\)
\(42\) 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 −0.487942 0.872876i \(-0.662252\pi\)
0.959569 + 0.281475i \(0.0908236\pi\)
\(48\) 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 0.977011 + 0.213188i \(0.0683848\pi\)
−0.787758 + 0.615985i \(0.788758\pi\)
\(54\) 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 0.999095 0.0425276i \(-0.0135410\pi\)
−0.918606 + 0.395175i \(0.870684\pi\)
\(60\) 1522.90 + 6672.27i 0.00705048 + 0.0308902i
\(61\) −7616.39 + 15815.6i −0.0335552 + 0.0696780i −0.917073 0.398720i \(-0.869454\pi\)
0.883517 + 0.468398i \(0.155169\pi\)
\(62\) 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 −0.287046 0.957917i \(-0.592673\pi\)
0.997774 + 0.0666924i \(0.0212446\pi\)
\(68\) 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 0.992991 0.118190i \(-0.0377091\pi\)
0.105735 + 0.994394i \(0.466280\pi\)
\(72\) 173439. + 360150.i 0.464675 + 0.964907i
\(73\) −521532. 119036.i −1.34064 0.305992i −0.508741 0.860919i \(-0.669889\pi\)
−0.831899 + 0.554927i \(0.812746\pi\)
\(74\) −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 −0.474113 0.880464i \(-0.657231\pi\)
−0.983979 + 0.178284i \(0.942945\pi\)
\(84\) 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 −0.155910 0.987771i \(-0.549831\pi\)
0.869479 0.493970i \(-0.164455\pi\)
\(90\) 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 −0.932138 0.362103i \(-0.882059\pi\)
−0.145605 0.989343i \(-0.546513\pi\)
\(98\) −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 −0.612731 0.790292i \(-0.709929\pi\)
0.906823 + 0.421512i \(0.138500\pi\)
\(102\) 9375.81 + 41078.1i 0.00883503 + 0.0387088i
\(103\) −285048. 1.24888e6i −0.260859 1.14290i −0.920322 0.391161i \(-0.872073\pi\)
0.659463 0.751737i \(-0.270784\pi\)
\(104\) −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 0.997318 0.0731968i \(-0.0233201\pi\)
0.564590 + 0.825372i \(0.309034\pi\)
\(108\) 40888.0 84904.7i 0.0324582 0.0674001i
\(109\) 705875. + 885139.i 0.545065 + 0.683490i 0.975719 0.219028i \(-0.0702885\pi\)
−0.430654 + 0.902517i \(0.641717\pi\)
\(110\) 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 0.551123 0.834424i \(-0.314199\pi\)
0.858588 + 0.512666i \(0.171342\pi\)
\(114\) 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 −0.944634 0.328126i \(-0.893583\pi\)
−0.332430 + 0.943128i \(0.607869\pi\)
\(128\) 119459.i 0.0569623i
\(129\) −185080. + 20803.7i −0.0862164 + 0.00969104i
\(130\) 221301. 0.100729
\(131\) 444997. + 924047.i 0.197945 + 0.411036i 0.976188 0.216927i \(-0.0696033\pi\)
−0.778243 + 0.627963i \(0.783889\pi\)
\(132\) 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 0.676033 0.736871i \(-0.263697\pi\)
0.289369 + 0.957218i \(0.406555\pi\)
\(138\) −75763.0 95003.7i −0.0288283 0.0361496i
\(139\) −212764. 932178.i −0.0792233 0.347100i 0.919745 0.392517i \(-0.128396\pi\)
−0.998968 + 0.0454168i \(0.985538\pi\)
\(140\) −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 −0.452220 0.891907i \(-0.649368\pi\)
0.768916 + 0.639349i \(0.220796\pi\)
\(150\) −57192.0 27542.2i −0.0169458 0.00816065i
\(151\) −1.26697e6 + 2.63089e6i −0.367990 + 0.764139i −0.999941 0.0108697i \(-0.996540\pi\)
0.631951 + 0.775008i \(0.282254\pi\)
\(152\) 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 0.949402 0.314065i \(-0.101691\pi\)
−0.0949287 + 0.995484i \(0.530262\pi\)
\(158\) −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 −0.364198 0.931322i \(-0.618657\pi\)
0.826930 + 0.562305i \(0.190085\pi\)
\(164\) 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 −0.482896 0.875678i \(-0.660415\pi\)
0.815016 0.579438i \(-0.196728\pi\)
\(168\) 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 \(-0.931863\pi\)
0.977177 0.212427i \(-0.0681368\pi\)
\(180\) −2.06082e6 470369.i −0.353364 0.0806531i
\(181\) 4.82977e6 + 6.05634e6i 0.814500 + 1.02135i 0.999256 + 0.0385661i \(0.0122790\pi\)
−0.184756 + 0.982784i \(0.559150\pi\)
\(182\) −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 0.552195 0.833715i \(-0.313790\pi\)
−0.689937 + 0.723869i \(0.742362\pi\)
\(192\) 469134. 374122.i 0.0662816 0.0528578i
\(193\) −8.18989e6 3.94404e6i −1.13922 0.548618i −0.233439 0.972371i \(-0.574998\pi\)
−0.905777 + 0.423754i \(0.860712\pi\)
\(194\) 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 0.356722 0.934211i \(-0.383894\pi\)
−0.507983 + 0.861367i \(0.669609\pi\)
\(198\) −4.15261e6 + 947807.i −0.534966 + 0.122102i
\(199\) −1.12394e7 + 2.56533e6i −1.42622 + 0.325525i −0.864845 0.502039i \(-0.832583\pi\)
−0.561372 + 0.827564i \(0.689726\pi\)
\(200\) −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 0.960233 0.279201i \(-0.0900696\pi\)
−0.0585290 + 0.998286i \(0.518641\pi\)
\(212\) 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 −0.482046 0.876146i \(-0.660106\pi\)
−0.814454 + 0.580228i \(0.802963\pi\)
\(224\) 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 0.984119 0.177511i \(-0.0568046\pi\)
−0.752372 + 0.658739i \(0.771090\pi\)
\(228\) 37222.3 163081.i 0.00314050 0.0137594i
\(229\) −916747. + 441482.i −0.0763384 + 0.0367626i −0.471663 0.881779i \(-0.656346\pi\)
0.395325 + 0.918541i \(0.370632\pi\)
\(230\) −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 0.0873762 0.996175i \(-0.472152\pi\)
0.724363 0.689419i \(-0.242134\pi\)
\(234\) −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 0.191644 + 0.981465i \(0.438618\pi\)
−0.999502 + 0.0315578i \(0.989953\pi\)
\(240\) −346494. 166863.i −0.0250647 0.0120705i
\(241\) 1.86593e7 4.25885e6i 1.33304 0.304258i 0.504124 0.863631i \(-0.331815\pi\)
0.828916 + 0.559373i \(0.188958\pi\)
\(242\) 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 \(0.0596343\pi\)
−0.982502 + 0.186253i \(0.940366\pi\)
\(258\) −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 −0.473653 0.880712i \(-0.657065\pi\)
−0.808873 + 0.587983i \(0.799922\pi\)
\(264\) 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 0.580028 0.814596i \(-0.303042\pi\)
−0.923241 + 0.384221i \(0.874470\pi\)
\(270\) −938313. 1.94843e6i −0.0476712 0.0989903i
\(271\) 7.44838e6 3.26335e7i 0.374243 1.63967i −0.340474 0.940254i \(-0.610588\pi\)
0.714717 0.699413i \(-0.246555\pi\)
\(272\) −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 0.646895 0.762579i \(-0.276067\pi\)
−0.599512 + 0.800366i \(0.704639\pi\)
\(278\) 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 0.721156 0.692773i \(-0.243611\pi\)
−0.835876 + 0.548918i \(0.815040\pi\)
\(282\) 691110. 866625.i 0.0308177 0.0386442i
\(283\) −3.28203e7 1.58054e7i −1.44805 0.697343i −0.465794 0.884893i \(-0.654231\pi\)
−0.982255 + 0.187550i \(0.939945\pi\)
\(284\) 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 −0.875972 0.482361i \(-0.839779\pi\)
0.998513 0.0545225i \(-0.0173637\pi\)
\(294\) −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 −0.998921 0.0464333i \(-0.985214\pi\)
0.879850 0.475251i \(-0.157643\pi\)
\(312\) 280961. + 352313.i 0.00925085 + 0.0116002i
\(313\) 1.85893e7 + 3.86012e7i 0.606221 + 1.25883i 0.947766 + 0.318965i \(0.103335\pi\)
−0.341546 + 0.939865i \(0.610950\pi\)
\(314\) −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 0.773367 + 0.633959i \(0.218571\pi\)
−0.421715 + 0.906728i \(0.638572\pi\)
\(318\) 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 0.165027 0.986289i \(-0.447229\pi\)
−0.279251 + 0.960218i \(0.590086\pi\)
\(332\) −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 0.319314 + 0.947649i \(0.396548\pi\)
−0.939991 + 0.341200i \(0.889167\pi\)
\(348\) 151453. 189915.i 0.00359368 0.00450633i
\(349\) −6.23044e7 1.42206e7i −1.46569 0.334534i −0.586090 0.810246i \(-0.699333\pi\)
−0.879601 + 0.475711i \(0.842191\pi\)
\(350\) 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 0.561658 0.827369i \(-0.310164\pi\)
−0.931606 + 0.363469i \(0.881592\pi\)
\(354\) 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 −0.999560 0.0296598i \(-0.990558\pi\)
0.251339 + 0.967899i \(0.419129\pi\)
\(360\) −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 0.980896 0.194533i \(-0.0623192\pi\)
−0.407926 + 0.913015i \(0.633748\pi\)
\(368\) 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 0.877733 + 0.479150i \(0.159055\pi\)
−0.172643 + 0.984984i \(0.555231\pi\)
\(374\) −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 −0.944310 0.329058i \(-0.893269\pi\)
0.993567 + 0.113249i \(0.0361258\pi\)
\(380\) −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 0.959044 + 0.283259i \(0.0914155\pi\)
0.489564 + 0.871967i \(0.337156\pi\)
\(384\) −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 −0.997599 0.0692562i \(-0.977937\pi\)
0.567846 0.823135i \(-0.307777\pi\)
\(390\) 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 −0.818131 0.575032i \(-0.804989\pi\)
0.487613 0.873060i \(-0.337868\pi\)
\(398\) −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 0.221533 0.975153i \(-0.428894\pi\)
0.900529 + 0.434797i \(0.143180\pi\)
\(402\) 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 0.0353684 + 0.999374i \(0.488740\pi\)
−0.803394 + 0.595448i \(0.796975\pi\)
\(410\) −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 −0.590737 0.806864i \(-0.701163\pi\)
0.655183 + 0.755470i \(0.272591\pi\)
\(420\) −3.24277e6 + 740140.i −0.0437691 + 0.00999001i
\(421\) 9.90509e7 7.89905e7i 1.32743 1.05859i 0.334193 0.942505i \(-0.391536\pi\)
0.993239 0.116087i \(-0.0370352\pi\)
\(422\) −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 −0.797053 0.603909i \(-0.793609\pi\)
0.969110 + 0.246631i \(0.0793234\pi\)
\(434\) −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 0.613603 0.789615i \(-0.289720\pi\)
−0.906357 + 0.422512i \(0.861148\pi\)
\(440\) −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 0.710853 + 0.703340i \(0.248309\pi\)
−0.945625 + 0.325260i \(0.894548\pi\)
\(444\) 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 0.483987 0.875075i \(-0.339188\pi\)
−0.745438 + 0.666575i \(0.767759\pi\)
\(450\) 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 −0.476152 0.879363i \(-0.657969\pi\)
−0.0474570 + 0.998873i \(0.515112\pi\)
\(458\) −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 −0.748861 0.662727i \(-0.769399\pi\)
0.0512339 + 0.998687i \(0.483685\pi\)
\(462\) −5.24008e6 + 4.17882e6i −0.0531388 + 0.0423768i
\(463\) −3.01568e7 + 6.88308e6i −0.303838 + 0.0693490i −0.371722 0.928344i \(-0.621232\pi\)
0.0678839 + 0.997693i \(0.478375\pi\)
\(464\) −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 \(-0.997287\pi\)
0.999964 0.00852160i \(-0.00271254\pi\)
\(468\) −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 −0.590497 0.807040i \(-0.701068\pi\)
0.262800 + 0.964850i \(0.415354\pi\)
\(488\) −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 −0.171883 0.985117i \(-0.554985\pi\)
0.877363 0.479827i \(-0.159300\pi\)
\(492\) −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 0.126234 0.992000i \(-0.459711\pi\)
0.544146 + 0.838991i \(0.316854\pi\)
\(500\) 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 −0.0125006 0.999922i \(-0.503979\pi\)
−0.445113 + 0.895475i \(0.646836\pi\)
\(504\) −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 0.301717 0.953398i \(-0.402440\pi\)
−0.141826 + 0.989892i \(0.545297\pi\)
\(522\) −1.63217e7 −0.114751
\(523\) 1.45802e8i 1.01920i −0.860412 0.509599i \(-0.829794\pi\)
0.860412 0.509599i \(-0.170206\pi\)
\(524\) 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 −0.998340 0.0575962i \(-0.981656\pi\)
−0.667485 0.744623i \(-0.732629\pi\)
\(542\) 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 −0.292165 0.956368i \(-0.594376\pi\)
0.565556 + 0.824710i \(0.308662\pi\)
\(548\) 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 −0.847137 0.531375i \(-0.821676\pi\)
−0.112735 + 0.993625i \(0.535961\pi\)
\(558\) 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 −0.999360 0.0357574i \(-0.988616\pi\)
0.257240 + 0.966348i \(0.417187\pi\)
\(564\) −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 −0.999992 0.00388303i \(-0.998764\pi\)
0.899277 0.437379i \(-0.144093\pi\)
\(570\) −2.39339e6 3.00121e6i −0.0129238 0.0162059i
\(571\) 5.65005e7 + 1.17325e8i 0.303490 + 0.630203i 0.995816 0.0913815i \(-0.0291283\pi\)
−0.692326 + 0.721585i \(0.743414\pi\)
\(572\) −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 −0.965374 0.260871i \(-0.915990\pi\)
0.805858 + 0.592109i \(0.201704\pi\)
\(578\) 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 0.857029 0.515268i \(-0.172307\pi\)
−0.311642 + 0.950200i \(0.600879\pi\)
\(588\) 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 −0.0917780 0.995779i \(-0.529255\pi\)
0.950391 + 0.311059i \(0.100684\pi\)
\(594\) −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 0.210158 0.977668i \(-0.432602\pi\)
−0.633340 + 0.773874i \(0.718317\pi\)
\(600\) −5.24429e6 + 2.52552e6i −0.0242791 + 0.0116922i
\(601\) 1.62986e8i 0.750803i 0.926862 + 0.375402i \(0.122495\pi\)
−0.926862 + 0.375402i \(0.877505\pi\)
\(602\) 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 −0.328573 0.944479i \(-0.606568\pi\)
−0.705828 + 0.708383i \(0.749425\pi\)
\(608\) 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 0.903055 0.429524i \(-0.141319\pi\)
−0.619704 + 0.784836i \(0.712747\pi\)
\(614\) −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 0.177605 + 0.984102i \(0.443165\pi\)
−0.998949 + 0.0458314i \(0.985406\pi\)
\(618\) −4.02321e6 1.76268e7i −0.0170454 0.0746808i
\(619\) 7.13660e7 + 3.12675e8i 0.300898 + 1.31832i 0.868775 + 0.495207i \(0.164908\pi\)
−0.567877 + 0.823114i \(0.692235\pi\)
\(620\) −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 0.790201 0.612847i \(-0.209976\pi\)
−0.971826 + 0.235700i \(0.924262\pi\)
\(632\) −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 0.711833 0.702349i \(-0.247865\pi\)
−0.526342 + 0.850273i \(0.676437\pi\)
\(642\) 2.70061e7 + 1.30055e7i 0.102060 + 0.0491496i
\(643\) −1.12694e8 + 5.42705e7i −0.423904 + 0.204141i −0.633659 0.773613i \(-0.718448\pi\)
0.209755 + 0.977754i \(0.432733\pi\)
\(644\) 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 0.730878 0.682508i \(-0.239111\pi\)
−0.989301 + 0.145887i \(0.953396\pi\)
\(648\) −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 0.128966 0.991649i \(-0.458834\pi\)
−0.314066 + 0.949401i \(0.601691\pi\)
\(654\) 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 0.0786416 0.996903i \(-0.474942\pi\)
0.828442 + 0.560074i \(0.189227\pi\)
\(660\) −4.16925e6 + 5.22808e6i −0.0145020 + 0.0181849i
\(661\) 2.00354e7 + 8.77806e7i 0.0693733 + 0.303944i 0.997697 0.0678286i \(-0.0216071\pi\)
−0.928324 + 0.371773i \(0.878750\pi\)
\(662\) −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 0.852073 0.523423i \(-0.175345\pi\)
−0.320695 + 0.947182i \(0.603917\pi\)
\(674\) 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 −0.995187 0.0979982i \(-0.968756\pi\)
−0.125909 + 0.992042i \(0.540185\pi\)
\(678\) 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 −0.985636 0.168881i \(-0.945985\pi\)
0.961302 + 0.275495i \(0.0888418\pi\)
\(684\) 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 −0.812978 0.582294i \(-0.802155\pi\)
0.962140 + 0.272557i \(0.0878694\pi\)
\(692\) −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 0.615655 + 0.788016i \(0.288892\pi\)
−0.896593 + 0.442855i \(0.853966\pi\)
\(702\) −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 0.610202 0.792246i \(-0.291088\pi\)
−0.238949 + 0.971032i \(0.576803\pi\)
\(710\) 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 0.203025 0.979174i \(-0.434923\pi\)
0.892133 + 0.451773i \(0.149208\pi\)
\(720\) 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 0.945846 0.324615i \(-0.105235\pi\)
−0.106006 + 0.994366i \(0.533806\pi\)
\(728\) −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 −0.998501 0.0547383i \(-0.982568\pi\)
0.579759 0.814788i \(-0.303147\pi\)
\(734\) −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 0.531902 0.846806i \(-0.321477\pi\)
0.111812 + 0.993729i \(0.464335\pi\)
\(740\) −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 0.737462 0.675389i \(-0.236024\pi\)
−0.987840 + 0.155473i \(0.950310\pi\)
\(744\) 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 −0.562048 0.827105i \(-0.689986\pi\)
0.681300 + 0.732004i \(0.261415\pi\)
\(752\) 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