Properties

Label 43.7.f.a.2.4
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 2.4
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.02991 - 10.4447i) q^{2} +(20.6257 - 42.8298i) q^{3} +(-43.8887 + 55.0347i) q^{4} +(127.013 + 28.9898i) q^{5} -551.091 q^{6} -619.099i q^{7} +(72.2435 + 16.4891i) q^{8} +(-954.446 - 1196.84i) q^{9} +O(q^{10})\) \(q+(-5.02991 - 10.4447i) q^{2} +(20.6257 - 42.8298i) q^{3} +(-43.8887 + 55.0347i) q^{4} +(127.013 + 28.9898i) q^{5} -551.091 q^{6} -619.099i q^{7} +(72.2435 + 16.4891i) q^{8} +(-954.446 - 1196.84i) q^{9} +(-336.072 - 1472.43i) q^{10} +(1279.58 + 1604.54i) q^{11} +(1451.89 + 3014.88i) q^{12} +(58.3552 - 255.671i) q^{13} +(-6466.31 + 3114.01i) q^{14} +(3861.36 - 4841.99i) q^{15} +(811.323 + 3554.64i) q^{16} +(-499.657 - 2189.14i) q^{17} +(-7699.85 + 15988.9i) q^{18} +(9757.92 + 7781.68i) q^{19} +(-7169.87 + 5717.78i) q^{20} +(-26515.9 - 12769.4i) q^{21} +(10322.8 - 21435.6i) q^{22} +(5083.42 + 6374.40i) q^{23} +(2196.30 - 2754.07i) q^{24} +(1214.18 + 584.718i) q^{25} +(-2963.93 + 676.497i) q^{26} +(-37160.5 + 8481.65i) q^{27} +(34071.9 + 27171.5i) q^{28} +(8210.48 + 17049.2i) q^{29} +(-69995.5 - 15976.0i) q^{30} +(-5612.02 + 2702.61i) q^{31} +(36754.1 - 29310.4i) q^{32} +(95114.6 - 21709.3i) q^{33} +(-20351.7 + 16230.0i) q^{34} +(17947.6 - 78633.4i) q^{35} +107757. q^{36} +7288.20i q^{37} +(32196.0 - 141060. i) q^{38} +(-9746.70 - 7772.74i) q^{39} +(8697.82 + 4188.65i) q^{40} +(21045.2 - 10134.9i) q^{41} +341180. i q^{42} +(-79504.8 - 585.981i) q^{43} -144465. q^{44} +(-86530.7 - 179683. i) q^{45} +(41009.7 - 85157.5i) q^{46} +(5976.39 - 7494.15i) q^{47} +(168979. + 38568.2i) q^{48} -265635. q^{49} -15622.8i q^{50} +(-104066. - 23752.5i) q^{51} +(11509.6 + 14432.6i) q^{52} +(7862.33 + 34447.1i) q^{53} +(275503. + 345469. i) q^{54} +(116008. + 240892. i) q^{55} +(10208.4 - 44725.9i) q^{56} +(534552. - 257427. i) q^{57} +(136776. - 171512. i) q^{58} +(-63690.5 - 279046. i) q^{59} +(97007.5 + 425018. i) q^{60} +(-56259.6 + 116824. i) q^{61} +(56455.9 + 45022.1i) q^{62} +(-740961. + 590897. i) q^{63} +(-280770. - 135212. i) q^{64} +(14823.7 - 30781.7i) q^{65} +(-705165. - 884249. i) q^{66} +(80047.0 - 100376. i) q^{67} +(142408. + 68580.1i) q^{68} +(377864. - 86244.9i) q^{69} +(-911579. + 208062. i) q^{70} +(-148353. - 118307. i) q^{71} +(-49217.7 - 102202. i) q^{72} +(283332. + 64668.6i) q^{73} +(76123.2 - 36659.0i) q^{74} +(50086.7 - 39942.8i) q^{75} +(-856526. + 195496. i) q^{76} +(993371. - 792187. i) q^{77} +(-32159.0 + 140898. i) q^{78} -223117. q^{79} +475004. i q^{80} +(-154871. + 678535. i) q^{81} +(-211711. - 168834. i) q^{82} +(-167663. - 80742.4i) q^{83} +(1.86651e6 - 898863. i) q^{84} -292534. i q^{85} +(393782. + 833353. i) q^{86} +899563. q^{87} +(65983.9 + 137017. i) q^{88} +(15929.3 - 33077.5i) q^{89} +(-1.44149e6 + 1.80758e6i) q^{90} +(-158285. - 36127.6i) q^{91} -573918. q^{92} +296105. i q^{93} +(-108335. - 24726.8i) q^{94} +(1.01379e6 + 1.27125e6i) q^{95} +(-497279. - 2.17872e6i) q^{96} +(4633.46 + 5810.17i) q^{97} +(1.33612e6 + 2.77448e6i) q^{98} +(699087. - 3.06290e6i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.02991 10.4447i −0.628739 1.30559i −0.935340 0.353751i \(-0.884906\pi\)
0.306601 0.951838i \(-0.400808\pi\)
\(3\) 20.6257 42.8298i 0.763916 1.58629i −0.0454371 0.998967i \(-0.514468\pi\)
0.809354 0.587322i \(-0.199818\pi\)
\(4\) −43.8887 + 55.0347i −0.685761 + 0.859917i
\(5\) 127.013 + 28.9898i 1.01610 + 0.231919i 0.697969 0.716128i \(-0.254087\pi\)
0.318132 + 0.948046i \(0.396944\pi\)
\(6\) −551.091 −2.55135
\(7\) 619.099i 1.80495i −0.430739 0.902477i \(-0.641747\pi\)
0.430739 0.902477i \(-0.358253\pi\)
\(8\) 72.2435 + 16.4891i 0.141101 + 0.0322053i
\(9\) −954.446 1196.84i −1.30925 1.64175i
\(10\) −336.072 1472.43i −0.336072 1.47243i
\(11\) 1279.58 + 1604.54i 0.961368 + 1.20552i 0.978622 + 0.205666i \(0.0659361\pi\)
−0.0172542 + 0.999851i \(0.505492\pi\)
\(12\) 1451.89 + 3014.88i 0.840213 + 1.74472i
\(13\) 58.3552 255.671i 0.0265613 0.116373i −0.959909 0.280311i \(-0.909563\pi\)
0.986471 + 0.163938i \(0.0524197\pi\)
\(14\) −6466.31 + 3114.01i −2.35653 + 1.13484i
\(15\) 3861.36 4841.99i 1.14411 1.43466i
\(16\) 811.323 + 3554.64i 0.198077 + 0.867831i
\(17\) −499.657 2189.14i −0.101701 0.445582i −0.999981 0.00615793i \(-0.998040\pi\)
0.898280 0.439424i \(-0.144817\pi\)
\(18\) −7699.85 + 15988.9i −1.32028 + 2.74158i
\(19\) 9757.92 + 7781.68i 1.42265 + 1.13452i 0.970079 + 0.242791i \(0.0780630\pi\)
0.452567 + 0.891731i \(0.350508\pi\)
\(20\) −7169.87 + 5717.78i −0.896234 + 0.714723i
\(21\) −26515.9 12769.4i −2.86318 1.37883i
\(22\) 10322.8 21435.6i 0.969461 2.01311i
\(23\) 5083.42 + 6374.40i 0.417803 + 0.523909i 0.945543 0.325497i \(-0.105532\pi\)
−0.527739 + 0.849406i \(0.676960\pi\)
\(24\) 2196.30 2754.07i 0.158876 0.199224i
\(25\) 1214.18 + 584.718i 0.0777075 + 0.0374220i
\(26\) −2963.93 + 676.497i −0.168635 + 0.0384898i
\(27\) −37160.5 + 8481.65i −1.88795 + 0.430912i
\(28\) 34071.9 + 27171.5i 1.55211 + 1.23777i
\(29\) 8210.48 + 17049.2i 0.336647 + 0.699055i 0.998730 0.0503756i \(-0.0160418\pi\)
−0.662083 + 0.749430i \(0.730328\pi\)
\(30\) −69995.5 15976.0i −2.59243 0.591704i
\(31\) −5612.02 + 2702.61i −0.188380 + 0.0907189i −0.525696 0.850672i \(-0.676195\pi\)
0.337316 + 0.941391i \(0.390481\pi\)
\(32\) 36754.1 29310.4i 1.12165 0.894483i
\(33\) 95114.6 21709.3i 2.64670 0.604093i
\(34\) −20351.7 + 16230.0i −0.517803 + 0.412934i
\(35\) 17947.6 78633.4i 0.418602 1.83402i
\(36\) 107757. 2.30961
\(37\) 7288.20i 0.143885i 0.997409 + 0.0719424i \(0.0229198\pi\)
−0.997409 + 0.0719424i \(0.977080\pi\)
\(38\) 32196.0 141060.i 0.586747 2.57071i
\(39\) −9746.70 7772.74i −0.164310 0.131033i
\(40\) 8697.82 + 4188.65i 0.135903 + 0.0654477i
\(41\) 21045.2 10134.9i 0.305353 0.147050i −0.274932 0.961464i \(-0.588655\pi\)
0.580285 + 0.814413i \(0.302941\pi\)
\(42\) 341180.i 4.60506i
\(43\) −79504.8 585.981i −0.999973 0.00737018i
\(44\) −144465. −1.69591
\(45\) −86530.7 179683.i −0.949583 1.97183i
\(46\) 41009.7 85157.5i 0.421321 0.874882i
\(47\) 5976.39 7494.15i 0.0575632 0.0721820i −0.752216 0.658916i \(-0.771015\pi\)
0.809780 + 0.586734i \(0.199587\pi\)
\(48\) 168979. + 38568.2i 1.52795 + 0.348744i
\(49\) −265635. −2.25786
\(50\) 15622.8i 0.124983i
\(51\) −104066. 23752.5i −0.784512 0.179060i
\(52\) 11509.6 + 14432.6i 0.0818561 + 0.102644i
\(53\) 7862.33 + 34447.1i 0.0528109 + 0.231380i 0.994445 0.105259i \(-0.0335671\pi\)
−0.941634 + 0.336639i \(0.890710\pi\)
\(54\) 275503. + 345469.i 1.74962 + 2.19396i
\(55\) 116008. + 240892.i 0.697266 + 1.44789i
\(56\) 10208.4 44725.9i 0.0581290 0.254680i
\(57\) 534552. 257427.i 2.88646 1.39005i
\(58\) 136776. 171512.i 0.701015 0.879045i
\(59\) −63690.5 279046.i −0.310112 1.35869i −0.854324 0.519741i \(-0.826028\pi\)
0.544212 0.838948i \(-0.316829\pi\)
\(60\) 97007.5 + 425018.i 0.449109 + 1.96767i
\(61\) −56259.6 + 116824.i −0.247860 + 0.514688i −0.987365 0.158464i \(-0.949346\pi\)
0.739504 + 0.673152i \(0.235060\pi\)
\(62\) 56455.9 + 45022.1i 0.236883 + 0.188908i
\(63\) −740961. + 590897.i −2.96329 + 2.36314i
\(64\) −280770. 135212.i −1.07105 0.515792i
\(65\) 14823.7 30781.7i 0.0539779 0.112086i
\(66\) −705165. 884249.i −2.45278 3.07569i
\(67\) 80047.0 100376.i 0.266146 0.333737i −0.630743 0.775992i \(-0.717250\pi\)
0.896889 + 0.442255i \(0.145821\pi\)
\(68\) 142408. + 68580.1i 0.452906 + 0.218108i
\(69\) 377864. 86244.9i 1.15024 0.262534i
\(70\) −911579. + 208062.i −2.65766 + 0.606594i
\(71\) −148353. 118307.i −0.414496 0.330549i 0.393938 0.919137i \(-0.371113\pi\)
−0.808433 + 0.588588i \(0.799684\pi\)
\(72\) −49217.7 102202.i −0.131863 0.273817i
\(73\) 283332. + 64668.6i 0.728328 + 0.166236i 0.570578 0.821243i \(-0.306719\pi\)
0.157749 + 0.987479i \(0.449576\pi\)
\(74\) 76123.2 36659.0i 0.187855 0.0904660i
\(75\) 50086.7 39942.8i 0.118724 0.0946793i
\(76\) −856526. + 195496.i −1.95119 + 0.445346i
\(77\) 993371. 792187.i 2.17590 1.73522i
\(78\) −32159.0 + 140898.i −0.0677670 + 0.296907i
\(79\) −223117. −0.452534 −0.226267 0.974065i \(-0.572652\pi\)
−0.226267 + 0.974065i \(0.572652\pi\)
\(80\) 475004.i 0.927743i
\(81\) −154871. + 678535.i −0.291418 + 1.27678i
\(82\) −211711. 168834.i −0.383975 0.306210i
\(83\) −167663. 80742.4i −0.293227 0.141211i 0.281487 0.959565i \(-0.409172\pi\)
−0.574714 + 0.818354i \(0.694887\pi\)
\(84\) 1.86651e6 898863.i 3.14914 1.51655i
\(85\) 292534.i 0.476343i
\(86\) 393782. + 833353.i 0.619099 + 1.31019i
\(87\) 899563. 1.36607
\(88\) 65983.9 + 137017.i 0.0968255 + 0.201060i
\(89\) 15929.3 33077.5i 0.0225957 0.0469205i −0.889366 0.457197i \(-0.848853\pi\)
0.911961 + 0.410276i \(0.134568\pi\)
\(90\) −1.44149e6 + 1.80758e6i −1.97736 + 2.47953i
\(91\) −158285. 36127.6i −0.210047 0.0479419i
\(92\) −573918. −0.737032
\(93\) 296105.i 0.368127i
\(94\) −108335. 24726.8i −0.130432 0.0297703i
\(95\) 1.01379e6 + 1.27125e6i 1.18244 + 1.48273i
\(96\) −497279. 2.17872e6i −0.562065 2.46257i
\(97\) 4633.46 + 5810.17i 0.00507680 + 0.00636610i 0.784363 0.620302i \(-0.212990\pi\)
−0.779287 + 0.626668i \(0.784418\pi\)
\(98\) 1.33612e6 + 2.77448e6i 1.41960 + 2.94783i
\(99\) 699087. 3.06290e6i 0.720486 3.15666i
\(100\) −85468.6 + 41159.5i −0.0854686 + 0.0411595i
\(101\) 701208. 879287.i 0.680586 0.853427i −0.314822 0.949151i \(-0.601945\pi\)
0.995408 + 0.0957233i \(0.0305164\pi\)
\(102\) 275357. + 1.20642e6i 0.259475 + 1.13683i
\(103\) 338968. + 1.48512e6i 0.310204 + 1.35909i 0.854174 + 0.519987i \(0.174063\pi\)
−0.543971 + 0.839104i \(0.683080\pi\)
\(104\) 8431.56 17508.3i 0.00749563 0.0155648i
\(105\) −2.99767e6 2.39056e6i −2.58950 2.06506i
\(106\) 320244. 255386.i 0.268883 0.214427i
\(107\) 1.43089e6 + 689083.i 1.16804 + 0.562497i 0.914404 0.404804i \(-0.132660\pi\)
0.253633 + 0.967301i \(0.418374\pi\)
\(108\) 1.16414e6 2.41737e6i 0.924134 1.91898i
\(109\) 109492. + 137299.i 0.0845480 + 0.106020i 0.822306 0.569045i \(-0.192687\pi\)
−0.737758 + 0.675065i \(0.764116\pi\)
\(110\) 1.93254e6 2.42333e6i 1.45195 1.82069i
\(111\) 312152. + 150325.i 0.228243 + 0.109916i
\(112\) 2.20067e6 502289.i 1.56640 0.357519i
\(113\) −1.85063e6 + 422394.i −1.28258 + 0.292740i −0.808895 0.587954i \(-0.799934\pi\)
−0.473685 + 0.880694i \(0.657077\pi\)
\(114\) −5.37750e6 4.28841e6i −3.62966 2.89456i
\(115\) 460866. + 956997.i 0.303027 + 0.629241i
\(116\) −1.29865e6 296408.i −0.831989 0.189896i
\(117\) −361693. + 174182.i −0.225831 + 0.108754i
\(118\) −2.59420e6 + 2.06881e6i −1.57891 + 1.25914i
\(119\) −1.35530e6 + 309337.i −0.804254 + 0.183566i
\(120\) 358798. 286132.i 0.207638 0.165586i
\(121\) −543024. + 2.37914e6i −0.306523 + 1.34296i
\(122\) 1.50318e6 0.827810
\(123\) 1.11040e6i 0.596712i
\(124\) 97567.3 427470.i 0.0511728 0.224203i
\(125\) −1.45424e6 1.15972e6i −0.744570 0.593775i
\(126\) 9.89872e6 + 4.76697e6i 4.94843 + 2.38304i
\(127\) −1.98463e6 + 955747.i −0.968876 + 0.466586i −0.850265 0.526355i \(-0.823558\pi\)
−0.118611 + 0.992941i \(0.537844\pi\)
\(128\) 604011.i 0.288015i
\(129\) −1.66494e6 + 3.39309e6i −0.775587 + 1.58062i
\(130\) −396068. −0.180277
\(131\) −244324. 507345.i −0.108681 0.225678i 0.839534 0.543307i \(-0.182828\pi\)
−0.948215 + 0.317628i \(0.897114\pi\)
\(132\) −2.97969e6 + 6.18740e6i −1.29554 + 2.69021i
\(133\) 4.81763e6 6.04112e6i 2.04776 2.56781i
\(134\) −1.45102e6 331187.i −0.603060 0.137644i
\(135\) −4.96574e6 −2.01829
\(136\) 166390.i 0.0661471i
\(137\) 3.12424e6 + 713088.i 1.21502 + 0.277320i 0.781546 0.623847i \(-0.214431\pi\)
0.433472 + 0.901167i \(0.357288\pi\)
\(138\) −2.80142e6 3.51287e6i −1.06596 1.33667i
\(139\) −152330. 667402.i −0.0567207 0.248510i 0.938617 0.344961i \(-0.112108\pi\)
−0.995338 + 0.0964514i \(0.969251\pi\)
\(140\) 3.53987e6 + 4.43886e6i 1.29004 + 1.61766i
\(141\) −197706. 410540.i −0.0705280 0.146453i
\(142\) −489485. + 2.14457e6i −0.170952 + 0.748990i
\(143\) 484905. 233518.i 0.165824 0.0798568i
\(144\) 3.47996e6 4.36373e6i 1.16543 1.46141i
\(145\) 548581. + 2.40349e6i 0.179944 + 0.788385i
\(146\) −749688. 3.28460e6i −0.240892 1.05542i
\(147\) −5.47891e6 + 1.13771e7i −1.72481 + 3.58161i
\(148\) −401104. 319870.i −0.123729 0.0986707i
\(149\) 780201. 622189.i 0.235856 0.188089i −0.498428 0.866931i \(-0.666089\pi\)
0.734285 + 0.678842i \(0.237518\pi\)
\(150\) −669123. 322233.i −0.198259 0.0954764i
\(151\) −511682. + 1.06252e6i −0.148617 + 0.308607i −0.961966 0.273170i \(-0.911928\pi\)
0.813349 + 0.581777i \(0.197642\pi\)
\(152\) 576633. + 723075.i 0.164198 + 0.205898i
\(153\) −2.14315e6 + 2.68743e6i −0.598382 + 0.750348i
\(154\) −1.32707e7 6.39085e6i −3.63356 1.74983i
\(155\) −791146. + 180574.i −0.212452 + 0.0484909i
\(156\) 855541. 195272.i 0.225355 0.0514358i
\(157\) −4.10926e6 3.27703e6i −1.06185 0.846800i −0.0732458 0.997314i \(-0.523336\pi\)
−0.988608 + 0.150514i \(0.951907\pi\)
\(158\) 1.12226e6 + 2.33039e6i 0.284526 + 0.590824i
\(159\) 1.63753e6 + 373756.i 0.407378 + 0.0929815i
\(160\) 5.51794e6 2.65730e6i 1.34715 0.648755i
\(161\) 3.94639e6 3.14714e6i 0.945631 0.754116i
\(162\) 7.86610e6 1.79539e6i 1.85018 0.422292i
\(163\) −2.73072e6 + 2.17768e6i −0.630543 + 0.502841i −0.885821 0.464026i \(-0.846404\pi\)
0.255278 + 0.966868i \(0.417833\pi\)
\(164\) −365880. + 1.60302e6i −0.0829482 + 0.363420i
\(165\) 1.27101e7 2.82942
\(166\) 2.15732e6i 0.471618i
\(167\) 1.43726e6 6.29703e6i 0.308592 1.35203i −0.548191 0.836353i \(-0.684683\pi\)
0.856783 0.515677i \(-0.172459\pi\)
\(168\) −1.70504e6 1.35973e6i −0.359590 0.286764i
\(169\) 4.28684e6 + 2.06443e6i 0.888132 + 0.427702i
\(170\) −3.05543e6 + 1.47142e6i −0.621908 + 0.299495i
\(171\) 1.91059e7i 3.82101i
\(172\) 3.52161e6 4.34981e6i 0.692080 0.854840i
\(173\) −4.80434e6 −0.927888 −0.463944 0.885865i \(-0.653566\pi\)
−0.463944 + 0.885865i \(0.653566\pi\)
\(174\) −4.52472e6 9.39568e6i −0.858903 1.78353i
\(175\) 361998. 751698.i 0.0675449 0.140258i
\(176\) −4.66542e6 + 5.85025e6i −0.855761 + 1.07309i
\(177\) −1.32652e7 3.02769e6i −2.39217 0.545998i
\(178\) −425608. −0.0754657
\(179\) 4.15894e6i 0.725142i 0.931956 + 0.362571i \(0.118101\pi\)
−0.931956 + 0.362571i \(0.881899\pi\)
\(180\) 1.36865e7 + 3.12386e6i 2.34680 + 0.535641i
\(181\) 4.98673e6 + 6.25316e6i 0.840969 + 1.05454i 0.997759 + 0.0669103i \(0.0213141\pi\)
−0.156790 + 0.987632i \(0.550114\pi\)
\(182\) 418819. + 1.83496e6i 0.0694723 + 0.304378i
\(183\) 3.84317e6 + 4.81918e6i 0.627099 + 0.786357i
\(184\) 262135. + 544330.i 0.0420797 + 0.0873793i
\(185\) −211284. + 925694.i −0.0333696 + 0.146202i
\(186\) 3.09273e6 1.48938e6i 0.480622 0.231455i
\(187\) 2.87322e6 3.60291e6i 0.439384 0.550970i
\(188\) 150143. + 657818.i 0.0225959 + 0.0989993i
\(189\) 5.25098e6 + 2.30061e7i 0.777777 + 3.40766i
\(190\) 8.17860e6 1.69830e7i 1.19239 2.47602i
\(191\) 6.29267e6 + 5.01824e6i 0.903098 + 0.720197i 0.960537 0.278152i \(-0.0897219\pi\)
−0.0574387 + 0.998349i \(0.518293\pi\)
\(192\) −1.15822e7 + 9.23649e6i −1.63639 + 1.30498i
\(193\) 6.12095e6 + 2.94770e6i 0.851427 + 0.410025i 0.808107 0.589036i \(-0.200492\pi\)
0.0433197 + 0.999061i \(0.486207\pi\)
\(194\) 37379.7 77619.7i 0.00511954 0.0106308i
\(195\) −1.01263e6 1.26979e6i −0.136567 0.171249i
\(196\) 1.16584e7 1.46191e7i 1.54835 1.94157i
\(197\) 8.86018e6 + 4.26684e6i 1.15889 + 0.558094i 0.911694 0.410870i \(-0.134775\pi\)
0.247201 + 0.968964i \(0.420489\pi\)
\(198\) −3.55075e7 + 8.10435e6i −4.57430 + 1.04405i
\(199\) −7.58231e6 + 1.73061e6i −0.962149 + 0.219604i −0.674618 0.738167i \(-0.735692\pi\)
−0.287531 + 0.957771i \(0.592834\pi\)
\(200\) 78075.1 + 62262.8i 0.00975939 + 0.00778285i
\(201\) −2.64804e6 5.49872e6i −0.326090 0.677132i
\(202\) −1.27109e7 2.90118e6i −1.54214 0.351982i
\(203\) 1.05552e7 5.08310e6i 1.26176 0.607632i
\(204\) 5.87455e6 4.68480e6i 0.691965 0.551823i
\(205\) 2.96682e6 677157.i 0.344373 0.0786010i
\(206\) 1.38066e7 1.10104e7i 1.57938 1.25951i
\(207\) 2.77728e6 1.21680e7i 0.313118 1.37186i
\(208\) 956161. 0.106253
\(209\) 2.56143e7i 2.80572i
\(210\) −9.89074e6 + 4.33342e7i −1.06800 + 4.67921i
\(211\) −2.73954e6 2.18471e6i −0.291629 0.232567i 0.466736 0.884397i \(-0.345430\pi\)
−0.758365 + 0.651830i \(0.774001\pi\)
\(212\) −2.24086e6 1.07914e6i −0.235183 0.113258i
\(213\) −8.12696e6 + 3.91374e6i −0.840987 + 0.404998i
\(214\) 1.84113e7i 1.87864i
\(215\) −1.00811e7 2.37926e6i −1.01436 0.239401i
\(216\) −2.82446e6 −0.280269
\(217\) 1.67318e6 + 3.47440e6i 0.163743 + 0.340017i
\(218\) 883310. 1.83421e6i 0.0852597 0.177044i
\(219\) 8.61367e6 1.08012e7i 0.820080 1.02835i
\(220\) −1.83489e7 4.18801e6i −1.72322 0.393314i
\(221\) −588857. −0.0545548
\(222\) 4.01646e6i 0.367100i
\(223\) −1.11533e7 2.54567e6i −1.00575 0.229556i −0.312240 0.950003i \(-0.601079\pi\)
−0.693509 + 0.720448i \(0.743936\pi\)
\(224\) −1.81461e7 2.27544e7i −1.61450 2.02452i
\(225\) −459057. 2.01126e6i −0.0403013 0.176571i
\(226\) 1.37203e7 + 1.72047e7i 1.18861 + 1.49047i
\(227\) 7.24549e6 + 1.50454e7i 0.619427 + 1.28625i 0.940691 + 0.339264i \(0.110178\pi\)
−0.321264 + 0.946990i \(0.604108\pi\)
\(228\) −9.29341e6 + 4.07171e7i −0.784098 + 3.43536i
\(229\) −1.19954e7 + 5.77666e6i −0.998866 + 0.481028i −0.860553 0.509360i \(-0.829882\pi\)
−0.138312 + 0.990389i \(0.544168\pi\)
\(230\) 7.67745e6 9.62722e6i 0.631006 0.791257i
\(231\) −1.34402e7 5.88853e7i −1.09036 4.77718i
\(232\) 312027. + 1.36708e6i 0.0249878 + 0.109479i
\(233\) 3.40253e6 7.06543e6i 0.268989 0.558562i −0.722096 0.691793i \(-0.756821\pi\)
0.991085 + 0.133231i \(0.0425353\pi\)
\(234\) 3.63857e6 + 2.90166e6i 0.283977 + 0.226464i
\(235\) 976331. 778598.i 0.0752304 0.0599943i
\(236\) 1.81525e7 + 8.74179e6i 1.38102 + 0.665066i
\(237\) −4.60195e6 + 9.55605e6i −0.345698 + 0.717850i
\(238\) 1.00480e7 + 1.25997e7i 0.745327 + 0.934610i
\(239\) −4.24398e6 + 5.32179e6i −0.310871 + 0.389820i −0.912582 0.408894i \(-0.865915\pi\)
0.601711 + 0.798714i \(0.294486\pi\)
\(240\) 2.03443e7 + 9.79732e6i 1.47167 + 0.708718i
\(241\) 1.88194e7 4.29542e6i 1.34448 0.306870i 0.511080 0.859533i \(-0.329246\pi\)
0.833404 + 0.552664i \(0.186389\pi\)
\(242\) 2.75808e7 6.29514e6i 1.94608 0.444180i
\(243\) 4.14268e6 + 3.30368e6i 0.288711 + 0.230239i
\(244\) −3.96023e6 8.22350e6i −0.272616 0.566092i
\(245\) −3.37390e7 7.70070e6i −2.29421 0.523639i
\(246\) −1.15978e7 + 5.58522e6i −0.779061 + 0.375176i
\(247\) 2.55897e6 2.04071e6i 0.169815 0.135423i
\(248\) −449996. + 102709.i −0.0295021 + 0.00673367i
\(249\) −6.91636e6 + 5.51561e6i −0.448002 + 0.357269i
\(250\) −4.79822e6 + 2.10224e7i −0.307086 + 1.34543i
\(251\) −1.51061e7 −0.955279 −0.477640 0.878556i \(-0.658508\pi\)
−0.477640 + 0.878556i \(0.658508\pi\)
\(252\) 6.67123e7i 4.16873i
\(253\) −3.72336e6 + 1.63131e7i −0.229918 + 1.00734i
\(254\) 1.99650e7 + 1.59216e7i 1.21834 + 0.971593i
\(255\) −1.25292e7 6.03373e6i −0.755617 0.363886i
\(256\) −1.16606e7 + 5.61544e6i −0.695025 + 0.334706i
\(257\) 2.20954e6i 0.130167i 0.997880 + 0.0650837i \(0.0207314\pi\)
−0.997880 + 0.0650837i \(0.979269\pi\)
\(258\) 4.38144e7 + 322928.i 2.55128 + 0.0188039i
\(259\) 4.51212e6 0.259706
\(260\) 1.04347e6 + 2.16679e6i 0.0593690 + 0.123281i
\(261\) 1.25687e7 2.60992e7i 0.706918 1.46793i
\(262\) −4.07014e6 + 5.10380e6i −0.226311 + 0.283785i
\(263\) 2.42175e7 + 5.52748e6i 1.33126 + 0.303850i 0.828214 0.560412i \(-0.189357\pi\)
0.503042 + 0.864262i \(0.332214\pi\)
\(264\) 7.22938e6 0.392906
\(265\) 4.60315e6i 0.247353i
\(266\) −8.73300e7 1.99325e7i −4.64001 1.05905i
\(267\) −1.08815e6 1.36450e6i −0.0571682 0.0716866i
\(268\) 2.01099e6 + 8.81072e6i 0.104473 + 0.457728i
\(269\) −1.70409e7 2.13686e7i −0.875458 1.09779i −0.994483 0.104899i \(-0.966548\pi\)
0.119024 0.992891i \(-0.462023\pi\)
\(270\) 2.49772e7 + 5.18658e7i 1.26897 + 2.63505i
\(271\) −3.29280e6 + 1.44267e7i −0.165447 + 0.724869i 0.822332 + 0.569007i \(0.192672\pi\)
−0.987779 + 0.155861i \(0.950185\pi\)
\(272\) 7.37622e6 3.55220e6i 0.366545 0.176519i
\(273\) −4.81209e6 + 6.03418e6i −0.236508 + 0.296572i
\(274\) −8.26665e6 3.62186e7i −0.401863 1.76068i
\(275\) 615435. + 2.69640e6i 0.0295927 + 0.129654i
\(276\) −1.18375e7 + 2.45808e7i −0.563031 + 1.16915i
\(277\) 2.20498e7 + 1.75841e7i 1.03745 + 0.827335i 0.985219 0.171300i \(-0.0547968\pi\)
0.0522264 + 0.998635i \(0.483368\pi\)
\(278\) −6.20462e6 + 4.94802e6i −0.288789 + 0.230302i
\(279\) 8.59096e6 + 4.13719e6i 0.395575 + 0.190499i
\(280\) 2.59319e6 5.38481e6i 0.118130 0.245299i
\(281\) 1.38347e7 + 1.73482e7i 0.623520 + 0.781869i 0.988835 0.149015i \(-0.0476101\pi\)
−0.365315 + 0.930884i \(0.619039\pi\)
\(282\) −3.29353e6 + 4.12996e6i −0.146864 + 0.184161i
\(283\) −2.15885e7 1.03965e7i −0.952495 0.458698i −0.107935 0.994158i \(-0.534424\pi\)
−0.844560 + 0.535460i \(0.820138\pi\)
\(284\) 1.30220e7 2.97219e6i 0.568490 0.129754i
\(285\) 7.53577e7 1.71999e7i 3.25532 0.743005i
\(286\) −4.87805e6 3.89012e6i −0.208520 0.166289i
\(287\) −6.27448e6 1.30291e7i −0.265419 0.551148i
\(288\) −7.01597e7 1.60135e7i −2.93704 0.670361i
\(289\) 1.72045e7 8.28526e6i 0.712769 0.343251i
\(290\) 2.23445e7 1.78191e7i 0.916170 0.730621i
\(291\) 344417. 78610.9i 0.0139767 0.00319010i
\(292\) −1.59941e7 + 1.27549e7i −0.642408 + 0.512303i
\(293\) −1.41603e6 + 6.20402e6i −0.0562948 + 0.246644i −0.995244 0.0974116i \(-0.968944\pi\)
0.938949 + 0.344055i \(0.111801\pi\)
\(294\) 1.46389e8 5.76057
\(295\) 3.72888e7i 1.45249i
\(296\) −120176. + 526525.i −0.00463385 + 0.0203022i
\(297\) −6.11591e7 4.87727e7i −2.33449 1.86169i
\(298\) −1.04229e7 5.01942e6i −0.393859 0.189673i
\(299\) 1.92639e6 927701.i 0.0720661 0.0347052i
\(300\) 4.50955e6i 0.167020i
\(301\) −362780. + 4.92214e7i −0.0133028 + 1.80490i
\(302\) 1.36714e7 0.496356
\(303\) −2.31968e7 4.81685e7i −0.833872 1.73155i
\(304\) −1.97442e7 + 4.09993e7i −0.702780 + 1.45934i
\(305\) −1.05324e7 + 1.32072e7i −0.371217 + 0.465491i
\(306\) 3.88493e7 + 8.86709e6i 1.35587 + 0.309469i
\(307\) 1.93216e7 0.667771 0.333886 0.942614i \(-0.391640\pi\)
0.333886 + 0.942614i \(0.391640\pi\)
\(308\) 8.94380e7i 3.06105i
\(309\) 7.05987e7 + 1.61137e7i 2.39288 + 0.546159i
\(310\) 5.86544e6 + 7.35503e6i 0.196886 + 0.246888i
\(311\) −7.93209e6 3.47528e7i −0.263698 1.15534i −0.917205 0.398415i \(-0.869560\pi\)
0.653507 0.756920i \(-0.273297\pi\)
\(312\) −575970. 722244.i −0.0189643 0.0237805i
\(313\) −2.87731e6 5.97479e6i −0.0938325 0.194845i 0.848770 0.528762i \(-0.177344\pi\)
−0.942602 + 0.333917i \(0.891629\pi\)
\(314\) −1.35584e7 + 5.94032e7i −0.437945 + 1.91876i
\(315\) −1.11241e8 + 5.35711e7i −3.55906 + 1.71395i
\(316\) 9.79232e6 1.22792e7i 0.310330 0.389142i
\(317\) −1.31798e7 5.77446e7i −0.413744 1.81273i −0.566019 0.824392i \(-0.691517\pi\)
0.152275 0.988338i \(-0.451340\pi\)
\(318\) −4.33286e6 1.89835e7i −0.134739 0.590330i
\(319\) −1.68503e7 + 3.49900e7i −0.519081 + 1.07788i
\(320\) −3.17416e7 2.53131e7i −0.968678 0.772495i
\(321\) 5.90265e7 4.70721e7i 1.78456 1.42314i
\(322\) −5.27209e7 2.53891e7i −1.57912 0.760464i
\(323\) 1.21596e7 2.52497e7i 0.360837 0.749287i
\(324\) −3.05459e7 3.83033e7i −0.898086 1.12616i
\(325\) 220349. 276309.i 0.00641890 0.00804905i
\(326\) 3.64805e7 + 1.75681e7i 1.05295 + 0.507075i
\(327\) 8.13883e6 1.85764e6i 0.232766 0.0531272i
\(328\) 1.68750e6 385160.i 0.0478213 0.0109149i
\(329\) −4.63962e6 3.69998e6i −0.130285 0.103899i
\(330\) −6.39307e7 1.32753e8i −1.77897 3.69406i
\(331\) 5.86943e7 + 1.33966e7i 1.61850 + 0.369411i 0.933343 0.358987i \(-0.116878\pi\)
0.685154 + 0.728398i \(0.259735\pi\)
\(332\) 1.18022e7 5.68362e6i 0.322513 0.155314i
\(333\) 8.72280e6 6.95620e6i 0.236223 0.188382i
\(334\) −7.29999e7 + 1.66618e7i −1.95922 + 0.447179i
\(335\) 1.30769e7 1.04284e7i 0.347832 0.277386i
\(336\) 2.38776e7 1.04614e8i 0.629466 2.75787i
\(337\) −7.93483e6 −0.207323 −0.103662 0.994613i \(-0.533056\pi\)
−0.103662 + 0.994613i \(0.533056\pi\)
\(338\) 5.51588e7i 1.42845i
\(339\) −2.00796e7 + 8.79743e7i −0.515413 + 2.25817i
\(340\) 1.60995e7 + 1.28389e7i 0.409615 + 0.326657i
\(341\) −1.15175e7 5.54653e6i −0.290466 0.139881i
\(342\) −1.99555e8 + 9.61007e7i −4.98867 + 2.40242i
\(343\) 9.16178e7i 2.27037i
\(344\) −5.73404e6 1.35330e6i −0.140859 0.0332443i
\(345\) 5.04937e7 1.22965
\(346\) 2.41654e7 + 5.01800e7i 0.583399 + 1.21144i
\(347\) −2.42370e7 + 5.03286e7i −0.580083 + 1.20455i 0.380038 + 0.924971i \(0.375911\pi\)
−0.960121 + 0.279584i \(0.909803\pi\)
\(348\) −3.94807e7 + 4.95072e7i −0.936800 + 1.17471i
\(349\) −4.01031e7 9.15328e6i −0.943414 0.215328i −0.276966 0.960880i \(-0.589329\pi\)
−0.666448 + 0.745552i \(0.732186\pi\)
\(350\) −9.67209e6 −0.225588
\(351\) 9.99581e6i 0.231151i
\(352\) 9.40597e7 + 2.14685e7i 2.15663 + 0.492237i
\(353\) −2.41691e7 3.03071e7i −0.549461 0.689002i 0.427110 0.904200i \(-0.359532\pi\)
−0.976570 + 0.215198i \(0.930960\pi\)
\(354\) 3.50992e7 + 1.53780e8i 0.791203 + 3.46649i
\(355\) −1.54130e7 1.93272e7i −0.344509 0.432001i
\(356\) 1.12129e6 + 2.32839e6i 0.0248525 + 0.0516067i
\(357\) −1.47051e7 + 6.44274e7i −0.323195 + 1.41601i
\(358\) 4.34389e7 2.09191e7i 0.946738 0.455925i
\(359\) 3.54249e7 4.44214e7i 0.765641 0.960084i −0.234286 0.972168i \(-0.575275\pi\)
0.999927 + 0.0120841i \(0.00384657\pi\)
\(360\) −3.28847e6 1.44077e7i −0.0704833 0.308808i
\(361\) 2.41938e7 + 1.06000e8i 0.514259 + 2.25312i
\(362\) 4.02297e7 8.35378e7i 0.848049 1.76099i
\(363\) 9.06979e7 + 7.23292e7i 1.89617 + 1.51215i
\(364\) 8.93522e6 7.12560e6i 0.185268 0.147747i
\(365\) 3.41120e7 + 1.64275e7i 0.701502 + 0.337825i
\(366\) 3.10042e7 6.43808e7i 0.632378 1.31315i
\(367\) −5.25507e7 6.58965e7i −1.06312 1.33310i −0.940176 0.340690i \(-0.889339\pi\)
−0.122940 0.992414i \(-0.539232\pi\)
\(368\) −1.85344e7 + 2.32414e7i −0.371907 + 0.466357i
\(369\) −3.22163e7 1.55146e7i −0.641205 0.308788i
\(370\) 1.07313e7 2.44936e6i 0.211860 0.0483557i
\(371\) 2.13262e7 4.86756e6i 0.417630 0.0953213i
\(372\) −1.62961e7 1.29957e7i −0.316558 0.252447i
\(373\) −2.00490e7 4.16322e7i −0.386337 0.802237i −0.999921 0.0126075i \(-0.995987\pi\)
0.613583 0.789630i \(-0.289727\pi\)
\(374\) −5.20834e7 1.18877e7i −0.995599 0.227239i
\(375\) −7.96652e7 + 3.83647e7i −1.51069 + 0.727509i
\(376\) 555327. 442858.i 0.0104468 0.00833108i
\(377\) 4.83811e6 1.10427e6i 0.0902926 0.0206087i
\(378\) 2.13880e8 1.70563e8i 3.95999 3.15799i
\(379\) −2.22923e7 + 9.76691e7i −0.409485 + 1.79407i 0.177112 + 0.984191i \(0.443325\pi\)
−0.586597 + 0.809879i \(0.699533\pi\)
\(380\) −1.14457e8 −2.08589
\(381\) 1.04714e8i 1.89335i
\(382\) 2.07625e7 9.09665e7i 0.372469 1.63189i
\(383\) 8.96127e6 + 7.14637e6i 0.159505 + 0.127201i 0.699990 0.714153i \(-0.253188\pi\)
−0.540485 + 0.841354i \(0.681759\pi\)
\(384\) 2.58697e7 + 1.24582e7i 0.456875 + 0.220019i
\(385\) 1.49136e8 7.18202e7i 2.61337 1.25853i
\(386\) 7.87583e7i 1.36941i
\(387\) 7.51818e7 + 9.57137e7i 1.29712 + 1.65136i
\(388\) −523117. −0.00895579
\(389\) −1.07806e7 2.23862e7i −0.183145 0.380305i 0.789102 0.614263i \(-0.210547\pi\)
−0.972247 + 0.233958i \(0.924832\pi\)
\(390\) −8.16920e6 + 1.69635e7i −0.137716 + 0.285971i
\(391\) 1.14145e7 1.43133e7i 0.190953 0.239448i
\(392\) −1.91904e7 4.38008e6i −0.318585 0.0727149i
\(393\) −2.67689e7 −0.441014
\(394\) 1.14004e8i 1.86394i
\(395\) −2.83387e7 6.46812e6i −0.459821 0.104951i
\(396\) 1.37884e8 + 1.72901e8i 2.22038 + 2.78427i
\(397\) −2.35349e7 1.03113e8i −0.376132 1.64794i −0.709177 0.705030i \(-0.750933\pi\)
0.333046 0.942911i \(-0.391924\pi\)
\(398\) 5.62141e7 + 7.04902e7i 0.891653 + 1.11810i
\(399\) −1.59373e8 3.30941e8i −2.50897 5.20993i
\(400\) −1.09337e6 + 4.79036e6i −0.0170839 + 0.0748494i
\(401\) −1.88287e7 + 9.06744e6i −0.292003 + 0.140621i −0.574151 0.818750i \(-0.694668\pi\)
0.282147 + 0.959371i \(0.408953\pi\)
\(402\) −4.41131e7 + 5.53161e7i −0.679031 + 0.851478i
\(403\) 363487. + 1.59254e6i 0.00555359 + 0.0243319i
\(404\) 1.76162e7 + 7.71816e7i 0.267158 + 1.17049i
\(405\) −3.93412e7 + 8.16929e7i −0.592220 + 1.22976i
\(406\) −1.06183e8 8.46782e7i −1.58664 1.26530i
\(407\) −1.16942e7 + 9.32584e6i −0.173456 + 0.138326i
\(408\) −7.12646e6 3.43192e6i −0.104928 0.0505309i
\(409\) −3.29472e7 + 6.84156e7i −0.481558 + 0.999966i 0.508728 + 0.860927i \(0.330116\pi\)
−0.990287 + 0.139039i \(0.955599\pi\)
\(410\) −2.19956e7 2.75816e7i −0.319142 0.400191i
\(411\) 9.49812e7 1.19103e8i 1.36808 1.71552i
\(412\) −9.66098e7 4.65248e7i −1.38143 0.665262i
\(413\) −1.72757e8 + 3.94307e7i −2.45237 + 0.559738i
\(414\) −1.41061e8 + 3.21963e7i −1.98796 + 0.453738i
\(415\) −1.89547e7 1.51158e7i −0.265199 0.211489i
\(416\) −5.34902e6 1.11074e7i −0.0743010 0.154288i
\(417\) −3.17266e7 7.24140e6i −0.437538 0.0998652i
\(418\) 2.67534e8 1.28838e8i 3.66311 1.76406i
\(419\) −5.11876e7 + 4.08207e7i −0.695861 + 0.554931i −0.906279 0.422681i \(-0.861089\pi\)
0.210418 + 0.977612i \(0.432518\pi\)
\(420\) 2.63128e8 6.00573e7i 3.55156 0.810621i
\(421\) 6.99991e7 5.58224e7i 0.938094 0.748105i −0.0297760 0.999557i \(-0.509479\pi\)
0.967870 + 0.251452i \(0.0809080\pi\)
\(422\) −9.03905e6 + 3.96027e7i −0.120278 + 0.526972i
\(423\) −1.46734e7 −0.193870
\(424\) 2.61822e6i 0.0343486i
\(425\) 673357. 2.95017e6i 0.00877160 0.0384309i
\(426\) 8.17557e7 + 6.51980e7i 1.05752 + 0.843345i
\(427\) 7.23258e7 + 3.48303e7i 0.928987 + 0.447377i
\(428\) −1.00724e8 + 4.85059e7i −1.28469 + 0.618676i
\(429\) 2.55849e7i 0.324049i
\(430\) 2.58565e7 + 1.17262e8i 0.325211 + 1.47486i
\(431\) 1.56042e7 0.194899 0.0974497 0.995240i \(-0.468931\pi\)
0.0974497 + 0.995240i \(0.468931\pi\)
\(432\) −6.02984e7 1.25211e8i −0.747919 1.55307i
\(433\) 5.39374e7 1.12002e8i 0.664395 1.37963i −0.247371 0.968921i \(-0.579567\pi\)
0.911766 0.410710i \(-0.134719\pi\)
\(434\) 2.78731e7 3.49518e7i 0.340970 0.427563i
\(435\) 1.14256e8 + 2.60782e7i 1.38807 + 0.316818i
\(436\) −1.23617e7 −0.149148
\(437\) 1.01758e8i 1.21934i
\(438\) −1.56142e8 3.56383e7i −1.85822 0.424126i
\(439\) 3.06855e7 + 3.84784e7i 0.362693 + 0.454803i 0.929377 0.369132i \(-0.120345\pi\)
−0.566683 + 0.823936i \(0.691774\pi\)
\(440\) 4.40869e6 + 1.93158e7i 0.0517550 + 0.226753i
\(441\) 2.53534e8 + 3.17922e8i 2.95611 + 3.70684i
\(442\) 2.96190e6 + 6.15044e6i 0.0343007 + 0.0712262i
\(443\) 1.04474e7 4.57730e7i 0.120170 0.526499i −0.878629 0.477505i \(-0.841541\pi\)
0.998799 0.0489944i \(-0.0156016\pi\)
\(444\) −2.19730e7 + 1.05817e7i −0.251039 + 0.120894i
\(445\) 2.98213e6 3.73947e6i 0.0338413 0.0424356i
\(446\) 2.95114e7 + 1.29298e8i 0.332648 + 1.45743i
\(447\) −1.05560e7 4.62490e7i −0.118189 0.517821i
\(448\) −8.37095e7 + 1.73825e8i −0.930981 + 1.93320i
\(449\) −7.85263e7 6.26226e7i −0.867513 0.691819i 0.0849785 0.996383i \(-0.472918\pi\)
−0.952492 + 0.304564i \(0.901489\pi\)
\(450\) −1.86980e7 + 1.49112e7i −0.205191 + 0.163634i
\(451\) 4.31909e7 + 2.07996e7i 0.470828 + 0.226739i
\(452\) 5.79755e7 1.20387e8i 0.627811 1.30366i
\(453\) 3.49537e7 + 4.38305e7i 0.376009 + 0.471500i
\(454\) 1.20701e8 1.51354e8i 1.28986 1.61743i
\(455\) −1.90569e7 9.17733e6i −0.202311 0.0974277i
\(456\) 4.28627e7 9.78312e6i 0.452048 0.103177i
\(457\) 8.41297e6 1.92020e6i 0.0881456 0.0201187i −0.178221 0.983991i \(-0.557034\pi\)
0.266366 + 0.963872i \(0.414177\pi\)
\(458\) 1.20671e8 + 9.62321e7i 1.25605 + 1.00167i
\(459\) 3.71351e7 + 7.71118e7i 0.384013 + 0.797412i
\(460\) −7.28949e7 1.66378e7i −0.748899 0.170931i
\(461\) 3.15094e7 1.51741e7i 0.321616 0.154882i −0.266109 0.963943i \(-0.585738\pi\)
0.587725 + 0.809061i \(0.300024\pi\)
\(462\) −5.47438e8 + 4.36567e8i −5.55148 + 4.42716i
\(463\) −1.26025e8 + 2.87644e7i −1.26974 + 0.289810i −0.803743 0.594977i \(-0.797161\pi\)
−0.465996 + 0.884787i \(0.654304\pi\)
\(464\) −5.39425e7 + 4.30177e7i −0.539980 + 0.430619i
\(465\) −8.58404e6 + 3.76091e7i −0.0853754 + 0.374054i
\(466\) −9.09109e7 −0.898376
\(467\) 2.11929e7i 0.208085i −0.994573 0.104042i \(-0.966822\pi\)
0.994573 0.104042i \(-0.0331777\pi\)
\(468\) 6.28818e6 2.75503e7i 0.0613462 0.268775i
\(469\) −6.21425e7 4.95570e7i −0.602380 0.480382i
\(470\) −1.30431e7 6.28122e6i −0.125628 0.0604993i
\(471\) −2.25111e8 + 1.08408e8i −2.15444 + 1.03752i
\(472\) 2.12095e7i 0.201699i
\(473\) −1.00793e8 1.28319e8i −0.952457 1.21257i
\(474\) 1.22958e8 1.15457
\(475\) 7.29778e6 + 1.51540e7i 0.0680942 + 0.141399i
\(476\) 4.24579e7 8.81647e7i 0.393675 0.817474i
\(477\) 3.37235e7 4.22879e7i 0.310726 0.389638i
\(478\) 7.69314e7 + 1.75591e7i 0.704401 + 0.160775i
\(479\) 1.12818e7 0.102653 0.0513265 0.998682i \(-0.483655\pi\)
0.0513265 + 0.998682i \(0.483655\pi\)
\(480\) 2.91141e8i 2.63257i
\(481\) 1.86338e6 + 425304.i 0.0167443 + 0.00382177i
\(482\) −1.39524e8 1.74958e8i −1.24597 1.56240i
\(483\) −5.33941e7 2.33935e8i −0.473862 2.07613i
\(484\) −1.07103e8 1.34303e8i −0.944636 1.18454i
\(485\) 420072. + 872288.i 0.00368212 + 0.00764601i
\(486\) 1.36687e7 5.98864e7i 0.119074 0.521698i
\(487\) −1.52039e8 + 7.32182e7i −1.31634 + 0.633916i −0.954469 0.298311i \(-0.903577\pi\)
−0.361872 + 0.932228i \(0.617862\pi\)
\(488\) −5.99072e6 + 7.51212e6i −0.0515489 + 0.0646403i
\(489\) 3.69464e7 + 1.61873e8i 0.315969 + 1.38435i
\(490\) 8.92724e7 + 3.91128e8i 0.758802 + 3.32453i
\(491\) −4.98923e7 + 1.03603e8i −0.421492 + 0.875237i 0.576804 + 0.816883i \(0.304300\pi\)
−0.998296 + 0.0583547i \(0.981415\pi\)
\(492\) 6.11107e7 + 4.87341e7i 0.513123 + 0.409202i
\(493\) 3.32208e7 2.64927e7i 0.277248 0.221098i
\(494\) −3.41861e7 1.64631e7i −0.283575 0.136563i
\(495\) 1.77586e8 3.68761e8i 1.46418 3.04039i
\(496\) −1.41600e7 1.77560e7i −0.116042 0.145513i
\(497\) −7.32439e7 + 9.18449e7i −0.596626 + 0.748145i
\(498\) 9.23977e7 + 4.44964e7i 0.748123 + 0.360277i
\(499\) 5.09189e7 1.16219e7i 0.409805 0.0935353i −0.0126484 0.999920i \(-0.504026\pi\)
0.422453 + 0.906385i \(0.361169\pi\)
\(500\) 1.27649e8 2.91351e7i 1.02119 0.233081i
\(501\) −2.40056e8 1.91438e8i −1.90897 1.52235i
\(502\) 7.59822e7 + 1.57779e8i 0.600621 + 1.24720i
\(503\) 1.34476e8 + 3.06932e7i 1.05667 + 0.241179i 0.715349 0.698767i \(-0.246268\pi\)
0.341323 + 0.939946i \(0.389125\pi\)
\(504\) −6.32730e7 + 3.04707e7i −0.494227 + 0.238007i
\(505\) 1.14553e8 9.13527e7i 0.889470 0.709328i
\(506\) 1.89114e8 4.31641e7i 1.45973 0.333174i
\(507\) 1.76839e8 1.41024e8i 1.35692 1.08211i
\(508\) 3.45036e7 1.51170e8i 0.263192 1.15312i
\(509\) 1.49021e8 1.13004 0.565020 0.825077i \(-0.308868\pi\)
0.565020 + 0.825077i \(0.308868\pi\)
\(510\) 1.61213e8i 1.21531i
\(511\) 4.00363e7 1.75410e8i 0.300048 1.31460i
\(512\) 1.47526e8 + 1.17648e8i 1.09916 + 0.876548i
\(513\) −4.28611e8 2.06408e8i −3.17476 1.52889i
\(514\) 2.30780e7 1.11138e7i 0.169945 0.0818412i
\(515\) 1.98455e8i 1.45292i
\(516\) −1.13665e8 2.40548e8i −0.827331 1.75087i
\(517\) 1.96720e7 0.142356
\(518\) −2.26955e7 4.71278e7i −0.163287 0.339069i
\(519\) −9.90931e7 + 2.05769e8i −0.708829 + 1.47190i
\(520\) 1.57848e6 1.97935e6i 0.0112261 0.0140771i
\(521\) 2.50818e8 + 5.72475e7i 1.77356 + 0.404802i 0.979240 0.202704i \(-0.0649728\pi\)
0.794315 + 0.607506i \(0.207830\pi\)
\(522\) −3.35818e8 −2.36098
\(523\) 1.79104e7i 0.125199i 0.998039 + 0.0625996i \(0.0199391\pi\)
−0.998039 + 0.0625996i \(0.980061\pi\)
\(524\) 3.86447e7 + 8.82040e6i 0.268594 + 0.0613048i
\(525\) −2.47286e7 3.10086e7i −0.170892 0.214291i
\(526\) −6.40787e7 2.80747e8i −0.440308 1.92912i
\(527\) 8.72048e6 + 1.09351e7i 0.0595811 + 0.0747124i
\(528\) 1.54337e8 + 3.20485e8i 1.04850 + 2.17724i
\(529\) 1.81492e7 7.95169e7i 0.122600 0.537146i
\(530\) 4.80786e7 2.31534e7i 0.322942 0.155521i
\(531\) −2.73184e8 + 3.42562e8i −1.82462 + 2.28800i
\(532\) 1.21032e8 + 5.30274e8i 0.803829 + 3.52181i
\(533\) −1.36309e6 5.97207e6i −0.00900206 0.0394406i
\(534\) −8.77847e6 + 1.82287e7i −0.0576495 + 0.119710i
\(535\) 1.61765e8 + 1.29004e8i 1.05639 + 0.842443i
\(536\) 7.43798e6 5.93159e6i 0.0483015 0.0385192i
\(537\) 1.78126e8 + 8.57812e7i 1.15029 + 0.553948i
\(538\) −1.37475e8 + 2.85469e8i −0.882828 + 1.83321i
\(539\) −3.39901e8 4.26222e8i −2.17063 2.72189i
\(540\) 2.17940e8 2.73288e8i 1.38406 1.73556i
\(541\) −2.65834e8 1.28019e8i −1.67887 0.808503i −0.997031 0.0770052i \(-0.975464\pi\)
−0.681844 0.731498i \(-0.738822\pi\)
\(542\) 1.67245e8 3.81727e7i 1.05040 0.239748i
\(543\) 3.70677e8 8.46046e7i 2.31524 0.528438i
\(544\) −8.25292e7 6.58148e7i −0.512638 0.408815i
\(545\) 9.92662e6 + 2.06128e7i 0.0613214 + 0.127335i
\(546\) 8.72296e7 + 1.99096e7i 0.535903 + 0.122316i
\(547\) −5.90605e7 + 2.84420e7i −0.360857 + 0.173780i −0.605523 0.795828i \(-0.707036\pi\)
0.244666 + 0.969607i \(0.421322\pi\)
\(548\) −1.76364e8 + 1.40645e8i −1.07168 + 0.854640i
\(549\) 1.93517e8 4.41689e7i 1.16950 0.266931i
\(550\) 2.50675e7 1.99907e7i 0.150669 0.120154i
\(551\) −5.25546e7 + 2.30257e8i −0.314163 + 1.37644i
\(552\) 2.87203e7 0.170754
\(553\) 1.38131e8i 0.816803i
\(554\) 7.27527e7 3.18750e8i 0.427878 1.87465i
\(555\) 3.52894e7 + 2.81424e7i 0.206427 + 0.164620i
\(556\) 4.34159e7 + 2.09080e7i 0.252595 + 0.121643i
\(557\) 1.22032e8 5.87673e7i 0.706166 0.340072i −0.0460947 0.998937i \(-0.514678\pi\)
0.752261 + 0.658865i \(0.228963\pi\)
\(558\) 1.10540e8i 0.636233i
\(559\) −4.78934e6 + 2.02929e7i −0.0274183 + 0.116174i
\(560\) 2.94075e8 1.67453
\(561\) −9.50494e7 1.97372e8i −0.538345 1.11789i
\(562\) 1.11609e8 2.31759e8i 0.628769 1.30565i
\(563\) 1.22188e8 1.53219e8i 0.684705 0.858593i −0.311073 0.950386i \(-0.600688\pi\)
0.995778 + 0.0917926i \(0.0292597\pi\)
\(564\) 3.12710e7 + 7.13740e6i 0.174303 + 0.0397835i
\(565\) −2.47299e8 −1.37112
\(566\) 2.77779e8i 1.53197i
\(567\) 4.20081e8 + 9.58807e7i 2.30454 + 0.525995i
\(568\) −8.76673e6 1.09931e7i −0.0478401 0.0599896i
\(569\) 7.70575e7 + 3.37611e8i 0.418290 + 1.83265i 0.542061 + 0.840339i \(0.317644\pi\)
−0.123770 + 0.992311i \(0.539499\pi\)
\(570\) −5.58691e8 7.00576e8i −3.01680 3.78295i
\(571\) 5.48569e7 + 1.13912e8i 0.294661 + 0.611871i 0.994767 0.102168i \(-0.0325781\pi\)
−0.700106 + 0.714039i \(0.746864\pi\)
\(572\) −8.43026e6 + 3.69354e7i −0.0450457 + 0.197358i
\(573\) 3.44721e8 1.66009e8i 1.83233 0.882405i
\(574\) −1.04525e8 + 1.31070e8i −0.552694 + 0.693056i
\(575\) 2.44495e6 + 1.07120e7i 0.0128608 + 0.0563467i
\(576\) 1.06154e8 + 4.65089e8i 0.555478 + 2.43371i
\(577\) −1.54753e8 + 3.21348e8i −0.805586 + 1.67282i −0.0678798 + 0.997694i \(0.521623\pi\)
−0.737706 + 0.675122i \(0.764091\pi\)
\(578\) −1.73074e8 1.38022e8i −0.896291 0.714768i
\(579\) 2.52499e8 2.01361e8i 1.30084 1.03738i
\(580\) −1.56352e8 7.52951e7i −0.801345 0.385907i
\(581\) −4.99875e7 + 1.03800e8i −0.254879 + 0.529261i
\(582\) −2.55345e6 3.20193e6i −0.0129527 0.0162421i
\(583\) −4.52114e7 + 5.66934e7i −0.228162 + 0.286106i
\(584\) 1.94025e7 + 9.34378e6i 0.0974137 + 0.0469120i
\(585\) −5.09891e7 + 1.16379e7i −0.254689 + 0.0581311i
\(586\) 7.19217e7 1.64157e7i 0.357410 0.0815765i
\(587\) −8.59886e7 6.85736e7i −0.425135 0.339034i 0.387436 0.921897i \(-0.373361\pi\)
−0.812570 + 0.582863i \(0.801932\pi\)
\(588\) −3.85672e8 8.00856e8i −1.89708 3.93933i
\(589\) −7.57925e7 1.72992e7i −0.370920 0.0846601i
\(590\) −3.89471e8 + 1.87559e8i −1.89635 + 0.913235i
\(591\) 3.65496e8 2.91473e8i 1.77060 1.41200i
\(592\) −2.59069e7 + 5.91308e6i −0.124868 + 0.0285003i
\(593\) −2.33595e8 + 1.86286e8i −1.12021 + 0.893337i −0.995107 0.0988074i \(-0.968497\pi\)
−0.125102 + 0.992144i \(0.539926\pi\)
\(594\) −2.01793e8 + 8.84112e8i −0.962822 + 4.21840i
\(595\) −1.81107e8 −0.859776
\(596\) 7.02452e7i 0.331801i
\(597\) −8.22690e7 + 3.60444e8i −0.386646 + 1.69401i
\(598\) −1.93791e7 1.54543e7i −0.0906214 0.0722682i
\(599\) −5.14692e7 2.47863e7i −0.239479 0.115327i 0.310296 0.950640i \(-0.399572\pi\)
−0.549774 + 0.835313i \(0.685286\pi\)
\(600\) 4.27706e6 2.05972e6i 0.0198012 0.00953576i
\(601\) 2.90524e8i 1.33831i −0.743121 0.669157i \(-0.766655\pi\)
0.743121 0.669157i \(-0.233345\pi\)
\(602\) 5.15928e8 2.43790e8i 2.36483 1.11745i
\(603\) −1.96534e8 −0.896367
\(604\) −3.60184e7 7.47929e7i −0.163461 0.339429i
\(605\) −1.37942e8 + 2.86439e8i −0.622916 + 1.29350i
\(606\) −3.86429e8 + 4.84567e8i −1.73641 + 2.17739i
\(607\) 7.41338e7 + 1.69205e7i 0.331474 + 0.0756569i 0.385019 0.922909i \(-0.374195\pi\)
−0.0535448 + 0.998565i \(0.517052\pi\)
\(608\) 5.86728e8 2.61052
\(609\) 5.56919e8i 2.46570i
\(610\) 1.90923e8 + 4.35768e7i 0.841139 + 0.191985i
\(611\) −1.56728e6 1.96531e6i −0.00687106 0.00861603i
\(612\) −5.38416e7 2.35896e8i −0.234890 1.02912i
\(613\) −1.08503e8 1.36059e8i −0.471045 0.590671i 0.488382 0.872630i \(-0.337587\pi\)
−0.959427 + 0.281959i \(0.909016\pi\)
\(614\) −9.71858e7 2.01808e8i −0.419853 0.871835i
\(615\) 3.21904e7 1.41035e8i 0.138389 0.606320i
\(616\) 8.48271e7 4.08506e7i 0.362904 0.174766i
\(617\) −1.34015e7 + 1.68049e7i −0.0570554 + 0.0715452i −0.809540 0.587064i \(-0.800284\pi\)
0.752485 + 0.658609i \(0.228855\pi\)
\(618\) −1.86802e8 8.18433e8i −0.791437 3.46751i
\(619\) −6.82136e7 2.98863e8i −0.287607 1.26009i −0.887799 0.460231i \(-0.847767\pi\)
0.600193 0.799856i \(-0.295091\pi\)
\(620\) 2.47846e7 5.14657e7i 0.103994 0.215945i
\(621\) −2.42968e8 1.93760e8i −1.01455 0.809078i
\(622\) −3.23085e8 + 2.57652e8i −1.34260 + 1.07068i
\(623\) −2.04782e7 9.86180e6i −0.0846893 0.0407842i
\(624\) 1.97215e7 4.09522e7i 0.0811684 0.168548i
\(625\) −1.64216e8 2.05920e8i −0.672627 0.843448i
\(626\) −4.79324e7 + 6.01053e7i −0.195392 + 0.245014i
\(627\) 1.09706e9 + 5.28314e8i 4.45068 + 2.14333i
\(628\) 3.60700e8 8.23275e7i 1.45636 0.332404i
\(629\) 1.59549e7 3.64160e6i 0.0641124 0.0146332i
\(630\) 1.11907e9 + 8.92428e8i 4.47544 + 3.56904i
\(631\) 7.61300e7 + 1.58086e8i 0.303018 + 0.629223i 0.995763 0.0919599i \(-0.0293132\pi\)
−0.692745 + 0.721183i \(0.743599\pi\)
\(632\) −1.61187e7 3.67900e6i −0.0638528 0.0145740i
\(633\) −1.50076e8 + 7.22728e7i −0.591698 + 0.284947i
\(634\) −5.36832e8 + 4.28109e8i −2.10654 + 1.67991i
\(635\) −2.79780e8 + 6.38579e7i −1.09269 + 0.249398i
\(636\) −9.24387e7 + 7.37174e7i −0.359321 + 0.286549i
\(637\) −1.55011e7 + 6.79150e7i −0.0599716 + 0.262753i
\(638\) 4.50215e8 1.73364
\(639\) 2.90472e8i 1.11327i
\(640\) −1.75102e7 + 7.67170e7i −0.0667960 + 0.292652i
\(641\) 1.70131e8 + 1.35675e8i 0.645967 + 0.515141i 0.890783 0.454428i \(-0.150156\pi\)
−0.244817 + 0.969569i \(0.578728\pi\)
\(642\) −7.88553e8 3.79747e8i −2.98006 1.43512i
\(643\) −4.70684e7 + 2.26669e7i −0.177050 + 0.0852629i −0.520309 0.853978i \(-0.674183\pi\)
0.343259 + 0.939241i \(0.388469\pi\)
\(644\) 3.55312e8i 1.33031i
\(645\) −3.09834e8 + 3.82699e8i −1.15465 + 1.42619i
\(646\) −3.24887e8 −1.20513
\(647\) 2.45204e6 + 5.09171e6i 0.00905346 + 0.0187997i 0.905447 0.424460i \(-0.139536\pi\)
−0.896393 + 0.443260i \(0.853822\pi\)
\(648\) −2.23769e7 + 4.64661e7i −0.0822384 + 0.170770i
\(649\) 3.66245e8 4.59256e8i 1.33979 1.68005i
\(650\) −3.99430e6 911673.i −0.0145446 0.00331970i
\(651\) 1.83318e8 0.664451
\(652\) 2.45860e8i 0.887044i
\(653\) −4.38109e8 9.99956e7i −1.57341 0.359122i −0.655278 0.755387i \(-0.727449\pi\)
−0.918136 + 0.396266i \(0.870306\pi\)
\(654\) −6.03400e7 7.56640e7i −0.215711 0.270493i
\(655\) −1.63245e7 7.15222e7i −0.0580919 0.254517i
\(656\) 5.31002e7 + 6.65856e7i 0.188098 + 0.235868i
\(657\) −1.93027e8 4.00825e8i −0.680648 1.41338i
\(658\) −1.53083e7 + 6.70701e7i −0.0537340 + 0.235424i
\(659\) 2.99646e7 1.44302e7i 0.104701 0.0504215i −0.380800 0.924657i \(-0.624351\pi\)
0.485501 + 0.874236i \(0.338637\pi\)
\(660\) −5.57830e8 + 6.99497e8i −1.94031 + 2.43307i
\(661\) −7.48865e7 3.28099e8i −0.259298 1.13606i −0.922005 0.387179i \(-0.873450\pi\)
0.662707 0.748879i \(-0.269408\pi\)
\(662\) −1.55303e8 6.80429e8i −0.535312 2.34535i
\(663\) −1.21456e7 + 2.52206e7i −0.0416753 + 0.0865397i
\(664\) −1.07812e7 8.59773e6i −0.0368267 0.0293683i
\(665\) 7.87032e8 6.27637e8i 2.67625 2.13424i
\(666\) −1.16530e8 5.61181e7i −0.394472 0.189968i
\(667\) −6.69414e7 + 1.39005e8i −0.225589 + 0.468440i
\(668\) 2.83476e8 + 3.55467e8i 0.951013 + 1.19253i
\(669\) −3.39076e8 + 4.25188e8i −1.13245 + 1.42005i
\(670\) −1.74698e8 8.41299e7i −0.580848 0.279722i
\(671\) −2.59438e8 + 5.92151e7i −0.858750 + 0.196004i
\(672\) −1.34884e9 + 3.07865e8i −4.44482 + 1.01450i
\(673\) 9.90632e7 + 7.90003e7i 0.324988 + 0.259169i 0.772369 0.635174i \(-0.219072\pi\)
−0.447381 + 0.894344i \(0.647643\pi\)
\(674\) 3.99115e7 + 8.28771e7i 0.130352 + 0.270679i
\(675\) −5.00790e7 1.14302e7i −0.162834 0.0371657i
\(676\) −3.01760e8 + 1.45320e8i −0.976834 + 0.470419i
\(677\) 9.60702e7 7.66134e7i 0.309615 0.246910i −0.456337 0.889807i \(-0.650839\pi\)
0.765953 + 0.642897i \(0.222268\pi\)
\(678\) 1.01987e9 2.32778e8i 3.27230 0.746882i
\(679\) 3.59707e6 2.86857e6i 0.0114905 0.00916338i
\(680\) 4.82362e6 2.11337e7i 0.0153407 0.0672122i
\(681\) 7.93836e8 2.51356
\(682\) 1.48195e8i 0.467177i
\(683\) −1.13933e8 + 4.99174e8i −0.357593 + 1.56672i 0.401579 + 0.915824i \(0.368462\pi\)
−0.759171 + 0.650891i \(0.774396\pi\)
\(684\) 1.05149e9 + 8.38531e8i 3.28575 + 2.62030i
\(685\) 3.76146e8 + 1.81142e8i 1.17027 + 0.563571i
\(686\) 9.56921e8 4.60829e8i 2.96417 1.42747i
\(687\) 6.32907e8i 1.95195i
\(688\) −6.24211e7 2.83086e8i −0.191675 0.869268i
\(689\) 9.26593e6 0.0283290
\(690\) −2.53979e8 5.27392e8i −0.773126 1.60541i
\(691\) 2.82374e7 5.86356e7i 0.0855836 0.177716i −0.853785 0.520627i \(-0.825698\pi\)
0.939368 + 0.342910i \(0.111413\pi\)
\(692\) 2.10856e8 2.64405e8i 0.636309 0.797907i
\(693\) −1.89624e9 4.32804e8i −5.69762 1.30044i
\(694\) 6.47578e8 1.93737
\(695\) 8.91846e7i 0.265666i
\(696\) 6.49876e7 + 1.48330e7i 0.192754 + 0.0439948i
\(697\) −3.27020e7 4.10071e7i −0.0965776 0.121105i
\(698\) 1.06112e8 + 4.64906e8i 0.312031 + 1.36710i
\(699\) −2.32431e8 2.91460e8i −0.680555 0.853389i
\(700\) 2.54818e7 + 5.29135e7i 0.0742910 + 0.154267i
\(701\) −5.22539e7 + 2.28939e8i −0.151693 + 0.664610i 0.840700 + 0.541501i \(0.182144\pi\)
−0.992393 + 0.123109i \(0.960714\pi\)
\(702\) 1.04403e8 5.02780e7i 0.301789 0.145334i
\(703\) −5.67145e7 + 7.11177e7i −0.163241 + 0.204697i
\(704\) −1.42315e8 6.23523e8i −0.407880 1.78704i
\(705\) −1.32096e7 5.78752e7i −0.0376985 0.165168i
\(706\) −1.94981e8 + 4.04882e8i −0.554086 + 1.15057i
\(707\) −5.44366e8 4.34117e8i −1.54040 1.22843i
\(708\) 7.48819e8 5.97163e8i 2.10997 1.68265i
\(709\) 4.04567e8 + 1.94829e8i 1.13514 + 0.546657i 0.904539 0.426390i \(-0.140215\pi\)
0.230606 + 0.973047i \(0.425929\pi\)
\(710\) −1.24342e8 + 2.58198e8i −0.347410 + 0.721403i
\(711\) 2.12953e8 + 2.67035e8i 0.592482 + 0.742949i
\(712\) 1.69620e6 2.12697e6i 0.00469935 0.00589280i
\(713\) −4.57558e7 2.20348e7i −0.126234 0.0607912i
\(714\) 7.46891e8 1.70473e8i 2.05193 0.468340i
\(715\) 6.83587e7 1.56024e7i 0.187015 0.0426849i
\(716\) −2.28886e8 1.82530e8i −0.623562 0.497274i
\(717\) 1.40396e8 + 2.91535e8i 0.380887 + 0.790921i
\(718\) −6.42153e8 1.46567e8i −1.73486 0.395971i
\(719\) −4.72740e8 + 2.27660e8i −1.27185 + 0.612491i −0.943283 0.331990i \(-0.892280\pi\)
−0.328567 + 0.944481i \(0.606566\pi\)
\(720\) 5.68503e8 4.53366e8i 1.52312 1.21465i
\(721\) 9.19433e8 2.09855e8i 2.45310 0.559903i
\(722\) 9.85445e8 7.85866e8i 2.61831 2.08803i
\(723\) 2.04193e8 8.94629e8i 0.540290 2.36716i
\(724\) −5.63002e8 −1.48352
\(725\) 2.55017e7i 0.0669198i
\(726\) 2.99255e8 1.31112e9i 0.782045 3.42636i
\(727\) 1.48768e8 + 1.18639e8i 0.387175 + 0.308762i 0.797662 0.603105i \(-0.206070\pi\)
−0.410487 + 0.911866i \(0.634641\pi\)
\(728\) −1.08394e7 5.21997e6i −0.0280938 0.0135293i
\(729\) −2.30186e8 + 1.10852e8i −0.594149 + 0.286127i
\(730\) 4.38919e8i 1.12828i
\(731\) 3.84424e7 + 1.74340e8i 0.0984143 + 0.446319i
\(732\) −4.33894e8 −1.10624
\(733\) 1.77821e8 + 3.69250e8i 0.451515 + 0.937581i 0.995160 + 0.0982655i \(0.0313294\pi\)
−0.543645 + 0.839315i \(0.682956\pi\)
\(734\) −4.23945e8 + 8.80330e8i −1.07207 + 2.22617i
\(735\) −1.02571e9 + 1.28620e9i −2.58323 + 3.23927i
\(736\) 3.73673e8 + 8.52884e7i 0.937256 + 0.213923i
\(737\) 2.63484e8 0.658190
\(738\) 4.14527e8i 1.03130i
\(739\) −6.90781e8 1.57666e8i −1.71162 0.390666i −0.749223 0.662318i \(-0.769573\pi\)
−0.962396 + 0.271652i \(0.912430\pi\)
\(740\) −4.16723e7 5.22555e7i −0.102838 0.128955i
\(741\) −3.46226e7 1.51692e8i −0.0850952 0.372827i
\(742\) −1.58109e8 1.98263e8i −0.387030 0.485321i
\(743\) 4.68689e7 + 9.73242e7i 0.114266 + 0.237276i 0.950257 0.311468i \(-0.100821\pi\)
−0.835991 + 0.548744i \(0.815106\pi\)
\(744\) −4.88251e6 + 2.13917e7i −0.0118556 + 0.0519429i
\(745\) 1.17133e8 5.64081e7i 0.283275 0.136418i
\(746\) −3.33992e8 + 4.18812e8i −0.804487 + 1.00880i
\(747\) 6.33901e7 + 2.77730e8i 0.152076 + 0.666287i
\(748\) 7.21829e7 + 3.16254e8i 0.172476 + 0.755668i
\(749\) 4.26610e8 8.85866e8i 1.01528 2.10825i
\(750\) 8.01418e8 + 6.39109e8i 1.89966 + 1.51493i
\(751\) 3.52963e8 2.81479e8i 0.833316 0.664548i −0.110915 0.993830i \(-0.535378\pi\)
0.944232 + 0.329282i \(0.106807\pi\)
\(752\) 3.14878e7 + 1.51637e7i 0.0740438 + 0.0356576i
\(753\) −3.11574e8 + 6.46990e8i −0.729754 + 1.51535i
\(754\) −3.58690e7 4.49784e7i −0.0836769 0.104928i
\(755\) −9.57924e7 + 1.20120e8i −0.222582 + 0.279109i
\(756\) −1.49659e9 7.20720e8i −3.46368 1.66802i
\(757\) 1.59052e8 3.63025e7i