Properties

Label 43.7.h.a.3.10
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.10
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.806603 + 1.67493i) q^{2} +(-16.6260 - 1.24594i) q^{3} +(37.7486 + 47.3352i) q^{4} +(-23.7056 + 76.8517i) q^{5} +(15.4974 - 26.8423i) q^{6} +(289.941 - 167.398i) q^{7} +(-225.726 + 51.5205i) q^{8} +(-445.988 - 67.2218i) q^{9} +O(q^{10})\) \(q+(-0.806603 + 1.67493i) q^{2} +(-16.6260 - 1.24594i) q^{3} +(37.7486 + 47.3352i) q^{4} +(-23.7056 + 76.8517i) q^{5} +(15.4974 - 26.8423i) q^{6} +(289.941 - 167.398i) q^{7} +(-225.726 + 51.5205i) q^{8} +(-445.988 - 67.2218i) q^{9} +(-109.600 - 101.694i) q^{10} +(-36.3774 + 45.6158i) q^{11} +(-568.629 - 834.026i) q^{12} +(-2474.56 + 2296.06i) q^{13} +(46.5117 + 620.655i) q^{14} +(489.881 - 1248.20i) q^{15} +(-766.449 + 3358.03i) q^{16} +(-7109.83 + 2193.09i) q^{17} +(472.327 - 692.776i) q^{18} +(-1128.06 - 7484.19i) q^{19} +(-4532.65 + 1778.93i) q^{20} +(-5029.12 + 2421.90i) q^{21} +(-47.0612 - 97.7235i) q^{22} +(-3524.13 - 8979.34i) q^{23} +(3817.11 - 575.336i) q^{24} +(7565.75 + 5158.24i) q^{25} +(-1849.74 - 5996.72i) q^{26} +(19180.8 + 4377.89i) q^{27} +(18868.7 + 7405.41i) q^{28} +(-24570.7 + 1841.32i) q^{29} +(1695.50 + 1827.32i) q^{30} +(-20523.8 + 13992.9i) q^{31} +(-16591.4 - 13231.2i) q^{32} +(661.644 - 713.083i) q^{33} +(2061.54 - 13677.4i) q^{34} +(5991.57 + 26250.8i) q^{35} +(-13653.4 - 23648.4i) q^{36} +(75584.9 + 43638.9i) q^{37} +(13445.4 + 4147.35i) q^{38} +(44002.7 - 35090.9i) q^{39} +(1391.54 - 18568.8i) q^{40} +(45983.7 + 22144.6i) q^{41} -10376.9i q^{42} +(-6895.84 - 79207.4i) q^{43} -3532.43 q^{44} +(15738.5 - 32681.4i) q^{45} +(17882.3 + 1340.09i) q^{46} +(112495. + 141064. i) q^{47} +(16926.9 - 54875.6i) q^{48} +(-2780.49 + 4815.94i) q^{49} +(-14742.2 + 8511.44i) q^{50} +(120940. - 27603.8i) q^{51} +(-202095. - 30461.0i) q^{52} +(-157343. - 145993. i) q^{53} +(-22803.9 + 28595.2i) q^{54} +(-2643.31 - 3877.02i) q^{55} +(-56823.0 + 52724.0i) q^{56} +(9430.20 + 125837. i) q^{57} +(16734.7 - 42639.4i) q^{58} +(-46356.5 + 203101. i) q^{59} +(77576.0 - 23929.0i) q^{60} +(-87460.3 + 128281. i) q^{61} +(-6882.54 - 45662.7i) q^{62} +(-140563. + 55166.9i) q^{63} +(-163067. + 78528.7i) q^{64} +(-117795. - 244604. i) q^{65} +(660.679 + 1683.38i) q^{66} +(146052. - 22013.7i) q^{67} +(-372196. - 253759. i) q^{68} +(47404.3 + 153681. i) q^{69} +(-48801.0 - 11138.5i) q^{70} +(64251.1 + 25216.7i) q^{71} +(104134. - 7803.79i) q^{72} +(280586. + 302399. i) q^{73} +(-134059. + 91400.0i) q^{74} +(-119361. - 95187.2i) q^{75} +(311683. - 335914. i) q^{76} +(-2911.33 + 19315.4i) q^{77} +(23282.2 + 102006. i) q^{78} +(41108.6 + 71202.2i) q^{79} +(-239902. - 138507. i) q^{80} +(745.523 + 229.963i) q^{81} +(-74181.2 + 59157.6i) q^{82} +(-32427.9 + 432720. i) q^{83} +(-304483. - 146631. i) q^{84} -598391. i q^{85} +(138229. + 52338.9i) q^{86} +410806. q^{87} +(5861.18 - 12170.9i) q^{88} +(-336641. - 25227.7i) q^{89} +(42044.3 + 52721.8i) q^{90} +(-333123. + 1.07996e6i) q^{91} +(292008. - 505772. i) q^{92} +(358663. - 207074. i) q^{93} +(-327010. + 74638.0i) q^{94} +(601914. + 90723.9i) q^{95} +(259363. + 240654. i) q^{96} +(414600. - 519892. i) q^{97} +(-5823.61 - 8541.67i) q^{98} +(19290.3 - 17898.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.806603 + 1.67493i −0.100825 + 0.209366i −0.945279 0.326262i \(-0.894211\pi\)
0.844454 + 0.535628i \(0.179925\pi\)
\(3\) −16.6260 1.24594i −0.615776 0.0461460i −0.236809 0.971556i \(-0.576102\pi\)
−0.378967 + 0.925410i \(0.623721\pi\)
\(4\) 37.7486 + 47.3352i 0.589821 + 0.739613i
\(5\) −23.7056 + 76.8517i −0.189645 + 0.614814i 0.809954 + 0.586493i \(0.199492\pi\)
−0.999599 + 0.0283203i \(0.990984\pi\)
\(6\) 15.4974 26.8423i 0.0717473 0.124270i
\(7\) 289.941 167.398i 0.845310 0.488040i −0.0137555 0.999905i \(-0.504379\pi\)
0.859066 + 0.511865i \(0.171045\pi\)
\(8\) −225.726 + 51.5205i −0.440871 + 0.100626i
\(9\) −445.988 67.2218i −0.611780 0.0922110i
\(10\) −109.600 101.694i −0.109600 0.101694i
\(11\) −36.3774 + 45.6158i −0.0273309 + 0.0342719i −0.795309 0.606204i \(-0.792691\pi\)
0.767978 + 0.640476i \(0.221263\pi\)
\(12\) −568.629 834.026i −0.329068 0.482654i
\(13\) −2474.56 + 2296.06i −1.12634 + 1.04509i −0.127756 + 0.991806i \(0.540777\pi\)
−0.998580 + 0.0532809i \(0.983032\pi\)
\(14\) 46.5117 + 620.655i 0.0169503 + 0.226186i
\(15\) 489.881 1248.20i 0.145150 0.369836i
\(16\) −766.449 + 3358.03i −0.187121 + 0.819833i
\(17\) −7109.83 + 2193.09i −1.44715 + 0.446385i −0.916097 0.400956i \(-0.868678\pi\)
−0.531049 + 0.847341i \(0.678202\pi\)
\(18\) 472.327 692.776i 0.0809888 0.118789i
\(19\) −1128.06 7484.19i −0.164464 1.09115i −0.906935 0.421270i \(-0.861584\pi\)
0.742471 0.669878i \(-0.233654\pi\)
\(20\) −4532.65 + 1778.93i −0.566581 + 0.222367i
\(21\) −5029.12 + 2421.90i −0.543043 + 0.261516i
\(22\) −47.0612 97.7235i −0.00441972 0.00917764i
\(23\) −3524.13 8979.34i −0.289647 0.738007i −0.999436 0.0335931i \(-0.989305\pi\)
0.709789 0.704414i \(-0.248790\pi\)
\(24\) 3817.11 575.336i 0.276122 0.0416186i
\(25\) 7565.75 + 5158.24i 0.484208 + 0.330127i
\(26\) −1849.74 5996.72i −0.105242 0.341188i
\(27\) 19180.8 + 4377.89i 0.974485 + 0.222420i
\(28\) 18868.7 + 7405.41i 0.859543 + 0.337346i
\(29\) −24570.7 + 1841.32i −1.00745 + 0.0754980i −0.568220 0.822876i \(-0.692368\pi\)
−0.439230 + 0.898374i \(0.644749\pi\)
\(30\) 1695.50 + 1827.32i 0.0627964 + 0.0676784i
\(31\) −20523.8 + 13992.9i −0.688927 + 0.469703i −0.856493 0.516158i \(-0.827362\pi\)
0.167566 + 0.985861i \(0.446409\pi\)
\(32\) −16591.4 13231.2i −0.506330 0.403785i
\(33\) 661.644 713.083i 0.0184112 0.0198426i
\(34\) 2061.54 13677.4i 0.0524511 0.347990i
\(35\) 5991.57 + 26250.8i 0.139745 + 0.612263i
\(36\) −13653.4 23648.4i −0.292641 0.506868i
\(37\) 75584.9 + 43638.9i 1.49221 + 0.861527i 0.999960 0.00892726i \(-0.00284167\pi\)
0.492249 + 0.870455i \(0.336175\pi\)
\(38\) 13445.4 + 4147.35i 0.245032 + 0.0755823i
\(39\) 44002.7 35090.9i 0.741797 0.591563i
\(40\) 1391.54 18568.8i 0.0217428 0.290137i
\(41\) 45983.7 + 22144.6i 0.667195 + 0.321304i 0.736643 0.676282i \(-0.236410\pi\)
−0.0694486 + 0.997586i \(0.522124\pi\)
\(42\) 10376.9i 0.140062i
\(43\) −6895.84 79207.4i −0.0867325 0.996232i
\(44\) −3532.43 −0.0414682
\(45\) 15738.5 32681.4i 0.172714 0.358643i
\(46\) 17882.3 + 1340.09i 0.183717 + 0.0137677i
\(47\) 112495. + 141064.i 1.08352 + 1.35869i 0.928734 + 0.370747i \(0.120898\pi\)
0.154789 + 0.987948i \(0.450530\pi\)
\(48\) 16926.9 54875.6i 0.153057 0.496198i
\(49\) −2780.49 + 4815.94i −0.0236337 + 0.0409348i
\(50\) −14742.2 + 8511.44i −0.117938 + 0.0680915i
\(51\) 120940. 27603.8i 0.911717 0.208093i
\(52\) −202095. 30461.0i −1.43730 0.216637i
\(53\) −157343. 145993.i −1.05687 0.980628i −0.0570226 0.998373i \(-0.518161\pi\)
−0.999843 + 0.0177454i \(0.994351\pi\)
\(54\) −22803.9 + 28595.2i −0.144820 + 0.181599i
\(55\) −2643.31 3877.02i −0.0158876 0.0233029i
\(56\) −56823.0 + 52724.0i −0.323564 + 0.300223i
\(57\) 9430.20 + 125837.i 0.0509209 + 0.679492i
\(58\) 16734.7 42639.4i 0.0857699 0.218538i
\(59\) −46356.5 + 203101.i −0.225712 + 0.988910i 0.727381 + 0.686234i \(0.240737\pi\)
−0.953093 + 0.302676i \(0.902120\pi\)
\(60\) 77576.0 23929.0i 0.359148 0.110783i
\(61\) −87460.3 + 128281.i −0.385320 + 0.565161i −0.969074 0.246770i \(-0.920631\pi\)
0.583754 + 0.811930i \(0.301583\pi\)
\(62\) −6882.54 45662.7i −0.0288784 0.191596i
\(63\) −140563. + 55166.9i −0.562147 + 0.220626i
\(64\) −163067. + 78528.7i −0.622049 + 0.299563i
\(65\) −117795. 244604.i −0.428930 0.890682i
\(66\) 660.679 + 1683.38i 0.00229804 + 0.00585532i
\(67\) 146052. 22013.7i 0.485604 0.0731930i 0.0983224 0.995155i \(-0.468652\pi\)
0.387281 + 0.921962i \(0.373414\pi\)
\(68\) −372196. 253759.i −1.18371 0.807040i
\(69\) 47404.3 + 153681.i 0.144301 + 0.467813i
\(70\) −48801.0 11138.5i −0.142277 0.0324738i
\(71\) 64251.1 + 25216.7i 0.179517 + 0.0704552i 0.453397 0.891309i \(-0.350212\pi\)
−0.273880 + 0.961764i \(0.588307\pi\)
\(72\) 104134. 7803.79i 0.278995 0.0209078i
\(73\) 280586. + 302399.i 0.721268 + 0.777342i 0.982164 0.188024i \(-0.0602084\pi\)
−0.260896 + 0.965367i \(0.584018\pi\)
\(74\) −134059. + 91400.0i −0.330827 + 0.225554i
\(75\) −119361. 95187.2i −0.282930 0.225629i
\(76\) 311683. 335914.i 0.710023 0.765222i
\(77\) −2911.33 + 19315.4i −0.00637704 + 0.0423089i
\(78\) 23282.2 + 102006.i 0.0490613 + 0.214952i
\(79\) 41108.6 + 71202.2i 0.0833781 + 0.144415i 0.904699 0.426051i \(-0.140096\pi\)
−0.821321 + 0.570467i \(0.806762\pi\)
\(80\) −239902. 138507.i −0.468558 0.270522i
\(81\) 745.523 + 229.963i 0.00140283 + 0.000432717i
\(82\) −74181.2 + 59157.6i −0.134540 + 0.107292i
\(83\) −32427.9 + 432720.i −0.0567132 + 0.756785i 0.894267 + 0.447534i \(0.147698\pi\)
−0.950980 + 0.309252i \(0.899921\pi\)
\(84\) −304483. 146631.i −0.513719 0.247394i
\(85\) 598391.i 0.974380i
\(86\) 138229. + 52338.9i 0.217322 + 0.0822866i
\(87\) 410806. 0.623848
\(88\) 5861.18 12170.9i 0.00860077 0.0178597i
\(89\) −336641. 25227.7i −0.477526 0.0357856i −0.166206 0.986091i \(-0.553152\pi\)
−0.311319 + 0.950305i \(0.600771\pi\)
\(90\) 42044.3 + 52721.8i 0.0576739 + 0.0723208i
\(91\) −333123. + 1.07996e6i −0.442059 + 1.43312i
\(92\) 292008. 505772.i 0.375000 0.649519i
\(93\) 358663. 207074.i 0.445900 0.257440i
\(94\) −327010. + 74638.0i −0.393711 + 0.0898620i
\(95\) 601914. + 90723.9i 0.702043 + 0.105816i
\(96\) 259363. + 240654.i 0.293153 + 0.272006i
\(97\) 414600. 519892.i 0.454270 0.569637i −0.500971 0.865464i \(-0.667024\pi\)
0.955242 + 0.295827i \(0.0955951\pi\)
\(98\) −5823.61 8541.67i −0.00618749 0.00907538i
\(99\) 19290.3 17898.7i 0.0198807 0.0184466i
\(100\) 41429.8 + 552842.i 0.0414298 + 0.552842i
\(101\) 517512. 1.31860e6i 0.502292 1.27982i −0.424903 0.905239i \(-0.639692\pi\)
0.927195 0.374580i \(-0.122213\pi\)
\(102\) −51316.3 + 224832.i −0.0483565 + 0.211864i
\(103\) 1.59193e6 491044.i 1.45684 0.449375i 0.537641 0.843174i \(-0.319316\pi\)
0.919196 + 0.393799i \(0.128839\pi\)
\(104\) 440279. 645770.i 0.391406 0.574088i
\(105\) −66908.5 443909.i −0.0577981 0.383465i
\(106\) 371441. 145780.i 0.311869 0.122400i
\(107\) −1.40834e6 + 678222.i −1.14963 + 0.553631i −0.908922 0.416967i \(-0.863093\pi\)
−0.240706 + 0.970598i \(0.577379\pi\)
\(108\) 516819. + 1.07319e6i 0.410268 + 0.851929i
\(109\) 14953.8 + 38101.6i 0.0115471 + 0.0294214i 0.936531 0.350585i \(-0.114017\pi\)
−0.924984 + 0.380006i \(0.875922\pi\)
\(110\) 8625.83 1300.14i 0.00648072 0.000976811i
\(111\) −1.20230e6 819713.i −0.879111 0.599367i
\(112\) 339902. + 1.10194e6i 0.241936 + 0.784336i
\(113\) 1.22542e6 + 279695.i 0.849281 + 0.193843i 0.624945 0.780669i \(-0.285122\pi\)
0.224336 + 0.974512i \(0.427979\pi\)
\(114\) −218375. 85705.8i −0.147397 0.0578490i
\(115\) 773619. 57974.7i 0.508667 0.0381193i
\(116\) −1.01467e6 1.09355e6i −0.650055 0.700593i
\(117\) 1.25797e6 857668.i 0.785438 0.535503i
\(118\) −302789. 241466.i −0.184287 0.146964i
\(119\) −1.69432e6 + 1.82604e6i −1.00543 + 1.08360i
\(120\) −46271.3 + 306990.i −0.0267774 + 0.177656i
\(121\) 393452. + 1.72383e6i 0.222093 + 0.973055i
\(122\) −144315. 249961.i −0.0794754 0.137655i
\(123\) −736932. 425468.i −0.396016 0.228640i
\(124\) −1.43710e6 443287.i −0.753742 0.232499i
\(125\) −1.55825e6 + 1.24266e6i −0.797823 + 0.636243i
\(126\) 20977.9 279931.i 0.0104870 0.139939i
\(127\) 1.83985e6 + 886027.i 0.898199 + 0.432550i 0.825238 0.564785i \(-0.191041\pi\)
0.0729606 + 0.997335i \(0.476755\pi\)
\(128\) 1.69462e6i 0.808060i
\(129\) 15962.0 + 1.32549e6i 0.00743565 + 0.617458i
\(130\) 504707. 0.229726
\(131\) −300184. + 623338.i −0.133528 + 0.277275i −0.957003 0.290079i \(-0.906318\pi\)
0.823474 + 0.567354i \(0.192033\pi\)
\(132\) 58730.0 + 4401.21i 0.0255352 + 0.00191360i
\(133\) −1.57991e6 1.98114e6i −0.671547 0.842094i
\(134\) −80934.3 + 262382.i −0.0336371 + 0.109049i
\(135\) −791141. + 1.37030e6i −0.321553 + 0.556946i
\(136\) 1.49189e6 861340.i 0.593087 0.342419i
\(137\) −1.82781e6 + 417187.i −0.710837 + 0.162244i −0.562626 0.826712i \(-0.690209\pi\)
−0.148212 + 0.988956i \(0.547352\pi\)
\(138\) −295641. 44560.7i −0.112494 0.0169557i
\(139\) −3.33392e6 3.09342e6i −1.24140 1.15185i −0.982564 0.185925i \(-0.940472\pi\)
−0.258833 0.965922i \(-0.583338\pi\)
\(140\) −1.01641e6 + 1.27454e6i −0.370413 + 0.464483i
\(141\) −1.69457e6 2.48548e6i −0.604509 0.886652i
\(142\) −94061.3 + 87276.1i −0.0328508 + 0.0304811i
\(143\) −14718.4 196404.i −0.00503330 0.0671648i
\(144\) 567560. 1.44612e6i 0.190075 0.484303i
\(145\) 440955. 1.93195e6i 0.144641 0.633712i
\(146\) −732819. + 226045.i −0.235471 + 0.0726333i
\(147\) 52228.6 76605.3i 0.0164421 0.0241161i
\(148\) 787562. + 5.22513e6i 0.242940 + 1.61180i
\(149\) −4.64912e6 + 1.82465e6i −1.40544 + 0.551595i −0.942324 0.334703i \(-0.891364\pi\)
−0.463117 + 0.886297i \(0.653269\pi\)
\(150\) 255709. 123143.i 0.0757655 0.0364868i
\(151\) −339857. 705719.i −0.0987108 0.204975i 0.845765 0.533555i \(-0.179144\pi\)
−0.944476 + 0.328580i \(0.893430\pi\)
\(152\) 640222. + 1.63126e6i 0.182305 + 0.464507i
\(153\) 3.31832e6 500156.i 0.926497 0.139647i
\(154\) −30003.7 20456.2i −0.00821509 0.00560095i
\(155\) −588849. 1.90900e6i −0.158128 0.512639i
\(156\) 3.32207e6 + 758242.i 0.875056 + 0.199726i
\(157\) 5.23760e6 + 2.05561e6i 1.35342 + 0.531179i 0.927582 0.373619i \(-0.121883\pi\)
0.425840 + 0.904798i \(0.359979\pi\)
\(158\) −152417. + 11422.1i −0.0386422 + 0.00289584i
\(159\) 2.43408e6 + 2.62331e6i 0.605540 + 0.652617i
\(160\) 1.41015e6 961425.i 0.344275 0.234723i
\(161\) −2.52491e6 2.01355e6i −0.605018 0.482486i
\(162\) −986.514 + 1063.21i −0.000232037 + 0.000250077i
\(163\) −302043. + 2.00392e6i −0.0697439 + 0.462720i 0.926512 + 0.376265i \(0.122792\pi\)
−0.996256 + 0.0864549i \(0.972446\pi\)
\(164\) 687601. + 3.01258e6i 0.155885 + 0.682978i
\(165\) 39117.0 + 67752.6i 0.00870790 + 0.0150825i
\(166\) −698619. 403348.i −0.152727 0.0881770i
\(167\) −1.65410e6 510223.i −0.355151 0.109549i 0.112046 0.993703i \(-0.464260\pi\)
−0.467196 + 0.884154i \(0.654736\pi\)
\(168\) 1.01043e6 805789.i 0.213097 0.169939i
\(169\) 490865. 6.55013e6i 0.101695 1.35703i
\(170\) 1.00226e6 + 482664.i 0.204002 + 0.0982423i
\(171\) 3.41369e6i 0.682708i
\(172\) 3.48899e6 3.31638e6i 0.685669 0.651747i
\(173\) −3.16121e6 −0.610541 −0.305270 0.952266i \(-0.598747\pi\)
−0.305270 + 0.952266i \(0.598747\pi\)
\(174\) −331357. + 688071.i −0.0628997 + 0.130613i
\(175\) 3.05710e6 + 229098.i 0.570421 + 0.0427472i
\(176\) −125298. 157119.i −0.0229830 0.0288198i
\(177\) 1.02377e6 3.31900e6i 0.184622 0.598531i
\(178\) 313790. 543501.i 0.0556390 0.0963696i
\(179\) 5.38261e6 3.10765e6i 0.938500 0.541843i 0.0490099 0.998798i \(-0.484393\pi\)
0.889490 + 0.456955i \(0.151060\pi\)
\(180\) 2.14109e6 488689.i 0.367127 0.0837944i
\(181\) −1.25320e6 188889.i −0.211341 0.0318545i 0.0425185 0.999096i \(-0.486462\pi\)
−0.253859 + 0.967241i \(0.581700\pi\)
\(182\) −1.54015e6 1.42905e6i −0.255476 0.237047i
\(183\) 1.61394e6 2.02382e6i 0.263351 0.330231i
\(184\) 1.25811e6 + 1.84531e6i 0.201960 + 0.296220i
\(185\) −5.14551e6 + 4.77434e6i −0.812669 + 0.754046i
\(186\) 57535.7 + 767761.i 0.00894126 + 0.119313i
\(187\) 158598. 404100.i 0.0242533 0.0617965i
\(188\) −2.43077e6 + 1.06499e7i −0.365823 + 1.60277i
\(189\) 6.29415e6 1.94149e6i 0.932292 0.287574i
\(190\) −637462. + 934985.i −0.0929380 + 0.136315i
\(191\) −1.55758e6 1.03339e7i −0.223538 1.48307i −0.765916 0.642940i \(-0.777714\pi\)
0.542379 0.840134i \(-0.317524\pi\)
\(192\) 2.80898e6 1.10244e6i 0.396867 0.155759i
\(193\) 5.75531e6 2.77161e6i 0.800566 0.385532i 0.0115718 0.999933i \(-0.496316\pi\)
0.788994 + 0.614401i \(0.210602\pi\)
\(194\) 536365. + 1.11377e6i 0.0734607 + 0.152543i
\(195\) 1.65369e6 + 4.21353e6i 0.223023 + 0.568254i
\(196\) −332923. + 50180.1i −0.0442156 + 0.00666443i
\(197\) −4.03846e6 2.75338e6i −0.528223 0.360136i 0.269653 0.962957i \(-0.413091\pi\)
−0.797876 + 0.602821i \(0.794043\pi\)
\(198\) 14419.5 + 46747.0i 0.00185762 + 0.00602224i
\(199\) 1.04687e6 + 238941.i 0.132841 + 0.0303202i 0.288425 0.957503i \(-0.406869\pi\)
−0.155583 + 0.987823i \(0.549726\pi\)
\(200\) −1.97354e6 774559.i −0.246693 0.0968198i
\(201\) −2.45568e6 + 184027.i −0.302401 + 0.0226618i
\(202\) 1.79113e6 + 1.93038e6i 0.217307 + 0.234201i
\(203\) −6.81584e6 + 4.64696e6i −0.814762 + 0.555496i
\(204\) 5.87195e6 + 4.68272e6i 0.691659 + 0.551579i
\(205\) −2.79192e6 + 3.00898e6i −0.324072 + 0.349267i
\(206\) −461589. + 3.06244e6i −0.0528024 + 0.350321i
\(207\) 968111. + 4.24157e6i 0.109148 + 0.478207i
\(208\) −5.81361e6 1.00695e7i −0.646035 1.11896i
\(209\) 382433. + 220798.i 0.0418906 + 0.0241856i
\(210\) 797485. + 245992.i 0.0861122 + 0.0265621i
\(211\) −1.17649e7 + 9.38220e6i −1.25239 + 0.998751i −0.252882 + 0.967497i \(0.581379\pi\)
−0.999511 + 0.0312536i \(0.990050\pi\)
\(212\) 971134. 1.29589e7i 0.101923 1.36007i
\(213\) −1.03682e6 499305.i −0.107291 0.0516686i
\(214\) 2.90593e6i 0.296513i
\(215\) 6.25069e6 + 1.34770e6i 0.628945 + 0.135606i
\(216\) −4.55516e6 −0.452004
\(217\) −3.60833e6 + 7.49277e6i −0.353124 + 0.733269i
\(218\) −75879.2 5686.36i −0.00732408 0.000548864i
\(219\) −4.28823e6 5.37727e6i −0.408269 0.511953i
\(220\) 83738.5 271473.i 0.00786424 0.0254953i
\(221\) 1.25582e7 2.17515e7i 1.16346 2.01517i
\(222\) 2.34274e6 1.35258e6i 0.214124 0.123625i
\(223\) −2.34100e6 + 534317.i −0.211099 + 0.0481820i −0.326762 0.945106i \(-0.605958\pi\)
0.115664 + 0.993288i \(0.463101\pi\)
\(224\) −7.02542e6 1.05891e6i −0.625069 0.0942140i
\(225\) −3.02748e6 2.80910e6i −0.265787 0.246615i
\(226\) −1.45690e6 + 1.82690e6i −0.126213 + 0.158266i
\(227\) 9.36776e6 + 1.37400e7i 0.800863 + 1.17465i 0.981568 + 0.191113i \(0.0612096\pi\)
−0.180705 + 0.983537i \(0.557838\pi\)
\(228\) −5.60056e6 + 5.19656e6i −0.472527 + 0.438441i
\(229\) −115239. 1.53776e6i −0.00959605 0.128050i 0.990348 0.138601i \(-0.0442606\pi\)
−0.999944 + 0.0105507i \(0.996642\pi\)
\(230\) −526900. + 1.34252e6i −0.0433057 + 0.110341i
\(231\) 72469.6 317510.i 0.00587922 0.0257585i
\(232\) 5.45139e6 1.68153e6i 0.436559 0.134661i
\(233\) −5.01976e6 + 7.36263e6i −0.396840 + 0.582057i −0.971707 0.236190i \(-0.924101\pi\)
0.574867 + 0.818247i \(0.305054\pi\)
\(234\) 421852. + 2.79880e6i 0.0329240 + 0.218436i
\(235\) −1.35077e7 + 5.30140e6i −1.04083 + 0.408495i
\(236\) −1.13637e7 + 5.47249e6i −0.864540 + 0.416341i
\(237\) −594756. 1.23502e6i −0.0446780 0.0927749i
\(238\) −1.69184e6 4.31075e6i −0.125496 0.319758i
\(239\) −4.54955e6 + 685734.i −0.333254 + 0.0502299i −0.313538 0.949576i \(-0.601514\pi\)
−0.0197158 + 0.999806i \(0.506276\pi\)
\(240\) 3.81602e6 + 2.60172e6i 0.276043 + 0.188203i
\(241\) 171262. + 555218.i 0.0122352 + 0.0396655i 0.961485 0.274859i \(-0.0886312\pi\)
−0.949249 + 0.314524i \(0.898155\pi\)
\(242\) −3.20465e6 731439.i −0.226117 0.0516098i
\(243\) −1.33631e7 5.24462e6i −0.931295 0.365506i
\(244\) −9.37370e6 + 702461.i −0.645270 + 0.0483563i
\(245\) −304200. 327850.i −0.0206853 0.0222934i
\(246\) 1.30704e6 891125.i 0.0877979 0.0598596i
\(247\) 1.99756e7 + 1.59300e7i 1.32559 + 1.05712i
\(248\) 3.91184e6 4.21597e6i 0.256464 0.276403i
\(249\) 1.07829e6 7.15398e6i 0.0698453 0.463393i
\(250\) −824482. 3.61229e6i −0.0527668 0.231187i
\(251\) 2.00432e6 + 3.47158e6i 0.126749 + 0.219536i 0.922415 0.386199i \(-0.126212\pi\)
−0.795666 + 0.605735i \(0.792879\pi\)
\(252\) −7.91739e6 4.57111e6i −0.494744 0.285641i
\(253\) 537799. + 165889.i 0.0332092 + 0.0102437i
\(254\) −2.96807e6 + 2.36695e6i −0.181122 + 0.144440i
\(255\) −745561. + 9.94883e6i −0.0449638 + 0.600000i
\(256\) −7.59788e6 3.65895e6i −0.452869 0.218090i
\(257\) 2.34854e7i 1.38356i 0.722108 + 0.691780i \(0.243173\pi\)
−0.722108 + 0.691780i \(0.756827\pi\)
\(258\) −2.23298e6 1.04241e6i −0.130024 0.0606987i
\(259\) 2.92202e7 1.68184
\(260\) 7.13177e6 1.48093e7i 0.405768 0.842585i
\(261\) 1.10820e7 + 830482.i 0.623300 + 0.0467099i
\(262\) −801918. 1.00557e6i −0.0445888 0.0559126i
\(263\) 3.18806e6 1.03354e7i 0.175250 0.568148i −0.824746 0.565503i \(-0.808682\pi\)
0.999997 0.00264463i \(-0.000841813\pi\)
\(264\) −112612. + 195050.i −0.00612030 + 0.0106007i
\(265\) 1.49497e7 8.63122e6i 0.803332 0.463804i
\(266\) 4.59263e6 1.04824e6i 0.244015 0.0556948i
\(267\) 5.56554e6 + 838870.i 0.292397 + 0.0440718i
\(268\) 6.55526e6 + 6.08240e6i 0.340554 + 0.315988i
\(269\) 560430. 702757.i 0.0287915 0.0361034i −0.767227 0.641375i \(-0.778364\pi\)
0.796019 + 0.605272i \(0.206936\pi\)
\(270\) −1.65701e6 2.43039e6i −0.0841849 0.123477i
\(271\) −8.74390e6 + 8.11315e6i −0.439336 + 0.407645i −0.868584 0.495542i \(-0.834969\pi\)
0.429247 + 0.903187i \(0.358779\pi\)
\(272\) −1.91515e6 2.55559e7i −0.0951693 1.26995i
\(273\) 6.88405e6 1.75403e7i 0.338342 0.862081i
\(274\) 775563. 3.39796e6i 0.0377021 0.165184i
\(275\) −510520. + 157475.i −0.0245479 + 0.00757203i
\(276\) −5.48507e6 + 8.04512e6i −0.260889 + 0.382653i
\(277\) −7002.43 46458.1i −0.000329465 0.00218586i 0.988665 0.150135i \(-0.0479709\pi\)
−0.988995 + 0.147949i \(0.952733\pi\)
\(278\) 7.87041e6 3.08891e6i 0.366322 0.143771i
\(279\) 1.00940e7 4.86102e6i 0.464784 0.223828i
\(280\) −2.70491e6 5.61680e6i −0.123219 0.255867i
\(281\) −3.16101e6 8.05413e6i −0.142465 0.362994i 0.841776 0.539827i \(-0.181510\pi\)
−0.984241 + 0.176832i \(0.943415\pi\)
\(282\) 5.52985e6 833491.i 0.246585 0.0371667i
\(283\) 3.96464e6 + 2.70305e6i 0.174922 + 0.119260i 0.647616 0.761967i \(-0.275766\pi\)
−0.472694 + 0.881227i \(0.656718\pi\)
\(284\) 1.23175e6 + 3.99323e6i 0.0537733 + 0.174329i
\(285\) −9.89436e6 2.25832e6i −0.427418 0.0975554i
\(286\) 340834. + 133768.i 0.0145695 + 0.00571811i
\(287\) 1.70395e7 1.27694e6i 0.720796 0.0540162i
\(288\) 6.51014e6 + 7.01627e6i 0.272529 + 0.293717i
\(289\) 2.57966e7 1.75878e7i 1.06873 0.728650i
\(290\) 2.88021e6 + 2.29689e6i 0.118094 + 0.0941772i
\(291\) −7.54088e6 + 8.12714e6i −0.306015 + 0.329806i
\(292\) −3.72243e6 + 2.46967e7i −0.149513 + 0.991952i
\(293\) 7.19662e6 + 3.15304e7i 0.286105 + 1.25351i 0.889821 + 0.456309i \(0.150829\pi\)
−0.603716 + 0.797199i \(0.706314\pi\)
\(294\) 86180.7 + 149269.i 0.00339131 + 0.00587393i
\(295\) −1.45098e7 8.37722e6i −0.565190 0.326313i
\(296\) −1.93098e7 5.95628e6i −0.744564 0.229668i
\(297\) −897449. + 715692.i −0.0342563 + 0.0273185i
\(298\) 693845. 9.25872e6i 0.0262189 0.349866i
\(299\) 2.93377e7 + 1.41283e7i 1.09752 + 0.528538i
\(300\) 9.24315e6i 0.342339i
\(301\) −1.52585e7 2.18112e7i −0.559517 0.799796i
\(302\) 1.45616e6 0.0528674
\(303\) −1.02470e7 + 2.12782e7i −0.368358 + 0.764903i
\(304\) 2.59968e7 + 1.94819e6i 0.925334 + 0.0693442i
\(305\) −7.78529e6 9.76245e6i −0.274395 0.344080i
\(306\) −1.83884e6 + 5.96138e6i −0.0641771 + 0.208057i
\(307\) −2.13740e7 + 3.70209e7i −0.738705 + 1.27948i 0.214373 + 0.976752i \(0.431229\pi\)
−0.953078 + 0.302723i \(0.902104\pi\)
\(308\) −1.02420e6 + 591321.i −0.0350535 + 0.0202382i
\(309\) −2.70791e7 + 6.18063e6i −0.917822 + 0.209487i
\(310\) 3.67241e6 + 553527.i 0.123273 + 0.0185803i
\(311\) −1.40007e7 1.29908e7i −0.465445 0.431870i 0.412263 0.911065i \(-0.364738\pi\)
−0.877709 + 0.479194i \(0.840929\pi\)
\(312\) −8.12465e6 + 1.01880e7i −0.267510 + 0.335448i
\(313\) 1.08322e6 + 1.58880e6i 0.0353252 + 0.0518126i 0.843495 0.537137i \(-0.180494\pi\)
−0.808170 + 0.588949i \(0.799542\pi\)
\(314\) −7.66766e6 + 7.11455e6i −0.247670 + 0.229804i
\(315\) −907540. 1.21103e7i −0.0290358 0.387456i
\(316\) −1.81858e6 + 4.63367e6i −0.0576330 + 0.146847i
\(317\) 7.96678e6 3.49047e7i 0.250095 1.09574i −0.681379 0.731931i \(-0.738620\pi\)
0.931474 0.363807i \(-0.118523\pi\)
\(318\) −6.35720e6 + 1.96094e6i −0.197690 + 0.0609792i
\(319\) 809826. 1.18780e6i 0.0249471 0.0365906i
\(320\) −2.16947e6 1.43935e7i −0.0662071 0.439255i
\(321\) 2.42601e7 9.52138e6i 0.733461 0.287862i
\(322\) 5.40916e6 2.60491e6i 0.162017 0.0780235i
\(323\) 2.44338e7 + 5.07374e7i 0.725076 + 1.50564i
\(324\) 17257.1 + 43970.3i 0.000507378 + 0.00129278i
\(325\) −3.05655e7 + 4.60701e6i −0.890392 + 0.134205i
\(326\) −3.11280e6 2.12227e6i −0.0898460 0.0612560i
\(327\) −201148. 652107.i −0.00575272 0.0186499i
\(328\) −1.15206e7 2.62951e6i −0.326479 0.0745166i
\(329\) 5.62306e7 + 2.20689e7i 1.57901 + 0.619716i
\(330\) −145033. + 10868.7i −0.00403575 + 0.000302437i
\(331\) −3.17860e7 3.42572e7i −0.876500 0.944643i 0.122355 0.992486i \(-0.460956\pi\)
−0.998855 + 0.0478438i \(0.984765\pi\)
\(332\) −2.17070e7 + 1.47996e7i −0.593179 + 0.404422i
\(333\) −3.07764e7 2.45434e7i −0.833461 0.664663i
\(334\) 2.18879e6 2.35896e6i 0.0587442 0.0633112i
\(335\) −1.77045e6 + 1.17462e7i −0.0470922 + 0.312437i
\(336\) −4.27825e6 1.87442e7i −0.112784 0.494140i
\(337\) −3.45684e7 5.98743e7i −0.903213 1.56441i −0.823298 0.567609i \(-0.807869\pi\)
−0.0799147 0.996802i \(-0.525465\pi\)
\(338\) 1.05751e7 + 6.10552e6i 0.273863 + 0.158115i
\(339\) −2.00254e7 6.17701e6i −0.514022 0.158555i
\(340\) 2.83250e7 2.25884e7i 0.720664 0.574710i
\(341\) 108306. 1.44524e6i 0.00273142 0.0364482i
\(342\) −5.71768e6 2.75349e6i −0.142936 0.0688343i
\(343\) 4.12501e7i 1.02222i
\(344\) 5.63738e6 + 1.75239e7i 0.138485 + 0.430483i
\(345\) −1.29344e7 −0.314984
\(346\) 2.54984e6 5.29480e6i 0.0615580 0.127827i
\(347\) 3.81230e6 + 285692.i 0.0912428 + 0.00683770i 0.120273 0.992741i \(-0.461623\pi\)
−0.0290304 + 0.999579i \(0.509242\pi\)
\(348\) 1.55073e7 + 1.94456e7i 0.367959 + 0.461406i
\(349\) −7.32244e6 + 2.37388e7i −0.172258 + 0.558447i −0.999996 0.00266721i \(-0.999151\pi\)
0.827738 + 0.561114i \(0.189627\pi\)
\(350\) −2.84959e6 + 4.93564e6i −0.0664628 + 0.115117i
\(351\) −5.75159e7 + 3.32068e7i −1.33005 + 0.767902i
\(352\) 1.20711e6 275514.i 0.0276769 0.00631707i
\(353\) 4.85809e7 + 7.32239e6i 1.10444 + 0.166467i 0.675855 0.737035i \(-0.263775\pi\)
0.428583 + 0.903502i \(0.359013\pi\)
\(354\) 4.73330e6 + 4.39186e6i 0.106698 + 0.0990008i
\(355\) −3.46106e6 + 4.34003e6i −0.0773613 + 0.0970080i
\(356\) −1.15135e7 1.68873e7i −0.255187 0.374291i
\(357\) 3.04447e7 2.82486e7i 0.669126 0.620858i
\(358\) 863465. + 1.15221e7i 0.0188190 + 0.251122i
\(359\) −8.33288e6 + 2.12318e7i −0.180099 + 0.458885i −0.992204 0.124627i \(-0.960227\pi\)
0.812105 + 0.583512i \(0.198322\pi\)
\(360\) −1.86884e6 + 8.18790e6i −0.0400556 + 0.175495i
\(361\) −9.78477e6 + 3.01820e6i −0.207983 + 0.0641544i
\(362\) 1.32721e6 1.94665e6i 0.0279778 0.0410358i
\(363\) −4.39373e6 2.91505e7i −0.0918572 0.609432i
\(364\) −6.36949e7 + 2.49984e7i −1.32069 + 0.518332i
\(365\) −2.98914e7 + 1.43949e7i −0.614706 + 0.296027i
\(366\) 2.08794e6 + 4.33566e6i 0.0425868 + 0.0884324i
\(367\) 491426. + 1.25213e6i 0.00994169 + 0.0253310i 0.935758 0.352642i \(-0.114717\pi\)
−0.925817 + 0.377973i \(0.876621\pi\)
\(368\) 3.28540e7 4.95194e6i 0.659242 0.0993647i
\(369\) −1.90196e7 1.29673e7i −0.378549 0.258090i
\(370\) −3.84629e6 1.24694e7i −0.0759341 0.246172i
\(371\) −7.00591e7 1.59905e7i −1.37196 0.313142i
\(372\) 2.33409e7 + 9.16062e6i 0.453407 + 0.177949i
\(373\) −3.78139e7 + 2.83376e6i −0.728659 + 0.0546055i −0.433894 0.900964i \(-0.642861\pi\)
−0.294766 + 0.955570i \(0.595242\pi\)
\(374\) 548913. + 591588.i 0.0104927 + 0.0113085i
\(375\) 2.74557e7 1.87190e7i 0.520641 0.354967i
\(376\) −3.26607e7 2.60460e7i −0.614414 0.489979i
\(377\) 5.65739e7 6.09722e7i 1.05583 1.13791i
\(378\) −1.82503e6 + 1.21083e7i −0.0337905 + 0.224185i
\(379\) 1.22338e7 + 5.35998e7i 0.224721 + 0.984567i 0.953872 + 0.300214i \(0.0970581\pi\)
−0.729151 + 0.684353i \(0.760085\pi\)
\(380\) 1.84270e7 + 3.19164e7i 0.335817 + 0.581652i
\(381\) −2.94854e7 1.70234e7i −0.533129 0.307802i
\(382\) 1.85649e7 + 5.72650e6i 0.333044 + 0.102730i
\(383\) 8.14911e7 6.49870e7i 1.45049 1.15672i 0.492356 0.870394i \(-0.336136\pi\)
0.958131 0.286331i \(-0.0924358\pi\)
\(384\) −2.11141e6 + 2.81748e7i −0.0372888 + 0.497584i
\(385\) −1.41541e6 681625.i −0.0248027 0.0119444i
\(386\) 1.18753e7i 0.206483i
\(387\) −2.24901e6 + 3.57891e7i −0.0388023 + 0.617472i
\(388\) 4.02598e7 0.689249
\(389\) 4.13921e7 8.59515e7i 0.703183 1.46017i −0.176346 0.984328i \(-0.556428\pi\)
0.879529 0.475846i \(-0.157858\pi\)
\(390\) −8.39124e6 628837.i −0.141460 0.0106009i
\(391\) 4.47485e7 + 5.61128e7i 0.748597 + 0.938711i
\(392\) 379509. 1.23034e6i 0.00630033 0.0204252i
\(393\) 5.76749e6 9.98958e6i 0.0950187 0.164577i
\(394\) 7.86915e6 4.54325e6i 0.128659 0.0742811i
\(395\) −6.44652e6 + 1.47138e6i −0.104601 + 0.0238744i
\(396\) 1.57542e6 + 237456.i 0.0253694 + 0.00382383i
\(397\) 2.86352e7 + 2.65696e7i 0.457645 + 0.424632i 0.875009 0.484107i \(-0.160856\pi\)
−0.417364 + 0.908739i \(0.637046\pi\)
\(398\) −1.24462e6 + 1.56070e6i −0.0197418 + 0.0247554i
\(399\) 2.37991e7 + 3.49068e7i 0.374664 + 0.549530i
\(400\) −2.31203e7 + 2.14525e7i −0.361255 + 0.335196i
\(401\) −1.75492e6 2.34178e7i −0.0272161 0.363173i −0.994139 0.108106i \(-0.965521\pi\)
0.966923 0.255067i \(-0.0820976\pi\)
\(402\) 1.67252e6 4.26152e6i 0.0257451 0.0655973i
\(403\) 1.86589e7 8.17501e7i 0.285083 1.24903i
\(404\) 8.19515e7 2.52787e7i 1.24283 0.383363i
\(405\) −35346.2 + 51843.3i −0.000532080 + 0.000780419i
\(406\) −2.28565e6 1.51643e7i −0.0341532 0.226592i
\(407\) −4.74021e6 + 1.86040e6i −0.0703095 + 0.0275945i
\(408\) −2.58772e7 + 1.24618e7i −0.381010 + 0.183485i
\(409\) −1.83925e7 3.81924e7i −0.268826 0.558222i 0.722233 0.691650i \(-0.243116\pi\)
−0.991059 + 0.133428i \(0.957402\pi\)
\(410\) −2.78785e6 7.10332e6i −0.0404499 0.103065i
\(411\) 3.09089e7 4.65877e6i 0.445204 0.0671037i
\(412\) 8.33366e7 + 5.68179e7i 1.19164 + 0.812444i
\(413\) 2.05580e7 + 6.66475e7i 0.291831 + 0.946092i
\(414\) −7.88521e6 1.79975e6i −0.111125 0.0253636i
\(415\) −3.24866e7 1.27500e7i −0.454527 0.178389i
\(416\) 7.14361e7 5.35339e6i 0.992287 0.0743617i
\(417\) 5.15753e7 + 5.55850e7i 0.711269 + 0.766566i
\(418\) −678293. + 462452.i −0.00928728 + 0.00633196i
\(419\) 6.81658e7 + 5.43604e7i 0.926669 + 0.738993i 0.965541 0.260251i \(-0.0838052\pi\)
−0.0388726 + 0.999244i \(0.512377\pi\)
\(420\) 1.84868e7 1.99241e7i 0.249525 0.268924i
\(421\) 1.06116e7 7.04035e7i 0.142212 0.943514i −0.797935 0.602744i \(-0.794074\pi\)
0.940147 0.340770i \(-0.110688\pi\)
\(422\) −6.22490e6 2.72731e7i −0.0828315 0.362908i
\(423\) −4.06886e7 7.04748e7i −0.537591 0.931135i
\(424\) 4.30380e7 + 2.48480e7i 0.564618 + 0.325983i
\(425\) −6.51037e7 2.00818e7i −0.848084 0.261599i
\(426\) 1.67260e6 1.33385e6i 0.0216353 0.0172536i
\(427\) −3.88446e6 + 5.18345e7i −0.0498939 + 0.665788i
\(428\) −8.52667e7 4.10623e7i −1.08755 0.523735i
\(429\) 3.28374e6i 0.0415907i
\(430\) −7.29914e6 + 9.38241e6i −0.0918050 + 0.118007i
\(431\) −2.42451e6 −0.0302825 −0.0151413 0.999885i \(-0.504820\pi\)
−0.0151413 + 0.999885i \(0.504820\pi\)
\(432\) −2.94022e7 + 6.10543e7i −0.364694 + 0.757295i
\(433\) −1.48514e8 1.11296e7i −1.82938 0.137093i −0.884924 0.465735i \(-0.845790\pi\)
−0.944454 + 0.328642i \(0.893409\pi\)
\(434\) −9.63937e6 1.20874e7i −0.117918 0.147864i
\(435\) −9.73841e6 + 3.15711e7i −0.118310 + 0.383550i
\(436\) −1.23906e6 + 2.14612e6i −0.0149497 + 0.0258937i
\(437\) −6.32276e7 + 3.65045e7i −0.757639 + 0.437423i
\(438\) 1.24655e7 2.84516e6i 0.148349 0.0338598i
\(439\) −1.38317e8 2.08479e7i −1.63487 0.246416i −0.733568 0.679616i \(-0.762146\pi\)
−0.901298 + 0.433200i \(0.857384\pi\)
\(440\) 796410. + 738960.i 0.00934929 + 0.00867487i
\(441\) 1.56380e6 1.96094e6i 0.0182333 0.0228638i
\(442\) 2.63027e7 + 3.85790e7i 0.304603 + 0.446770i
\(443\) 3.94755e7 3.66279e7i 0.454063 0.421309i −0.419698 0.907664i \(-0.637864\pi\)
0.873762 + 0.486355i \(0.161674\pi\)
\(444\) −6.58375e6 8.78541e7i −0.0752185 1.00372i
\(445\) 9.91907e6 2.52734e7i 0.112562 0.286803i
\(446\) 993312. 4.35198e6i 0.0111965 0.0490549i
\(447\) 7.95695e7 2.45440e7i 0.890890 0.274803i
\(448\) −3.41342e7 + 5.00657e7i −0.379626 + 0.556809i
\(449\) 1.30564e7 + 8.66235e7i 0.144239 + 0.956966i 0.937475 + 0.348052i \(0.113157\pi\)
−0.793236 + 0.608915i \(0.791605\pi\)
\(450\) 7.14701e6 2.80500e6i 0.0784309 0.0307819i
\(451\) −2.68291e6 + 1.29202e6i −0.0292467 + 0.0140845i
\(452\) 3.30186e7 + 6.85638e7i 0.357555 + 0.742471i
\(453\) 4.77115e6 + 1.21567e7i 0.0513250 + 0.130774i
\(454\) −3.05696e7 + 4.60762e6i −0.326679 + 0.0492390i
\(455\) −7.50997e7 5.12021e7i −0.797267 0.543568i
\(456\) −8.61184e6 2.79189e7i −0.0908242 0.294445i
\(457\) 2.72576e7 + 6.22136e6i 0.285587 + 0.0651834i 0.362915 0.931822i \(-0.381782\pi\)
−0.0773277 + 0.997006i \(0.524639\pi\)
\(458\) 2.66858e6 + 1.04734e6i 0.0277770 + 0.0109016i
\(459\) −1.45973e8 + 1.09392e7i −1.50951 + 0.113122i
\(460\) 3.19473e7 + 3.44310e7i 0.328216 + 0.353733i
\(461\) −6.54797e7 + 4.46433e7i −0.668350 + 0.455673i −0.849364 0.527807i \(-0.823014\pi\)
0.181014 + 0.983480i \(0.442062\pi\)
\(462\) 473352. + 377486.i 0.00480019 + 0.00382803i
\(463\) 8.17120e7 8.80646e7i 0.823271 0.887275i −0.171932 0.985109i \(-0.555001\pi\)
0.995203 + 0.0978338i \(0.0311914\pi\)
\(464\) 1.26490e7 8.39206e7i 0.126620 0.840068i
\(465\) 7.41167e6 + 3.24727e7i 0.0737153 + 0.322968i
\(466\) −8.28293e6 1.43465e7i −0.0818514 0.141771i
\(467\) 6.99966e7 + 4.04125e7i 0.687268 + 0.396794i 0.802588 0.596534i \(-0.203456\pi\)
−0.115320 + 0.993328i \(0.536789\pi\)
\(468\) 8.80844e7 + 2.71704e7i 0.859333 + 0.265069i
\(469\) 3.86614e7 3.08314e7i 0.374765 0.298865i
\(470\) 2.01592e6 2.69006e7i 0.0194169 0.259101i
\(471\) −8.45189e7 4.07022e7i −0.808893 0.389542i
\(472\) 4.82336e7i 0.458695i
\(473\) 3.86396e6 + 2.56680e6i 0.0365132 + 0.0242554i
\(474\) 2.54831e6 0.0239286
\(475\) 3.00706e7 6.24423e7i 0.280583 0.582637i
\(476\) −1.50394e8 1.12705e7i −1.39447 0.104501i
\(477\) 6.03591e7 + 7.56879e7i 0.556144 + 0.697383i
\(478\) 2.52113e6 8.17329e6i 0.0230840 0.0748365i
\(479\) −2.87806e7 + 4.98494e7i −0.261874 + 0.453579i −0.966740 0.255761i \(-0.917674\pi\)
0.704866 + 0.709341i \(0.251007\pi\)
\(480\) −2.46430e7 + 1.42276e7i −0.222828 + 0.128650i
\(481\) −2.87237e8 + 6.55599e7i −2.58110 + 0.589119i
\(482\) −1.06809e6 160989.i −0.00953822 0.00143766i
\(483\) 3.94703e7 + 3.66231e7i 0.350291 + 0.325023i
\(484\) −6.67454e7 + 8.36961e7i −0.588688 + 0.738191i
\(485\) 3.01263e7 + 4.41871e7i 0.264071 + 0.387321i
\(486\) 1.95630e7 1.81519e7i 0.170423 0.158129i
\(487\) −2.32497e6 3.10246e7i −0.0201294 0.268608i −0.998183 0.0602549i \(-0.980809\pi\)
0.978054 0.208353i \(-0.0668104\pi\)
\(488\) 1.31330e7 3.34623e7i 0.113007 0.287936i
\(489\) 7.51853e6 3.29408e7i 0.0642993 0.281714i
\(490\) 794495. 245069.i 0.00675309 0.00208305i
\(491\) −5.60798e7 + 8.22539e7i −0.473764 + 0.694884i −0.986518 0.163652i \(-0.947673\pi\)
0.512755 + 0.858535i \(0.328625\pi\)
\(492\) −7.67852e6 5.09437e7i −0.0644737 0.427755i
\(493\) 1.70655e8 6.69773e7i 1.42423 0.558968i
\(494\) −4.27939e7 + 2.06085e7i −0.354978 + 0.170948i
\(495\) 918262. + 1.90679e6i 0.00757096 + 0.0157213i
\(496\) −3.12582e7 7.96446e7i −0.256164 0.652696i
\(497\) 2.28503e7 3.44412e6i 0.186132 0.0280549i
\(498\) 1.11127e7 + 7.57648e6i 0.0899767 + 0.0613451i
\(499\) −2.73075e7 8.85288e7i −0.219776 0.712497i −0.996571 0.0827432i \(-0.973632\pi\)
0.776795 0.629754i \(-0.216844\pi\)
\(500\) −1.17643e8 2.68513e7i −0.941147 0.214811i
\(501\) 2.68653e7 + 1.05439e7i 0.213638 + 0.0838468i
\(502\) −7.43134e6 + 556902.i −0.0587430 + 0.00440218i
\(503\) −1.56507e7 1.68674e7i −0.122979 0.132540i 0.668561 0.743657i \(-0.266911\pi\)
−0.791540 + 0.611118i \(0.790720\pi\)
\(504\) 2.88865e7 1.96945e7i 0.225634 0.153834i
\(505\) 8.90686e7 + 7.10299e7i 0.691593 + 0.551527i
\(506\) −711642. + 766968.i −0.00549301 + 0.00592006i
\(507\) −1.63222e7 + 1.08291e8i −0.125243 + 0.830935i
\(508\) 2.75116e7 + 1.20536e8i 0.209858 + 0.919446i
\(509\) 8.65552e7 + 1.49918e8i 0.656357 + 1.13684i 0.981552 + 0.191196i \(0.0612367\pi\)
−0.325195 + 0.945647i \(0.605430\pi\)
\(510\) −1.60622e7 9.27352e6i −0.121086 0.0699092i
\(511\) 1.31974e8 + 4.07087e7i 0.989070 + 0.305088i
\(512\) 9.70513e7 7.73958e7i 0.723088 0.576644i
\(513\) 1.11279e7 1.48491e8i 0.0824252 1.09989i
\(514\) −3.93364e7 1.89434e7i −0.289671 0.139498i
\(515\) 1.33983e8i 0.980905i
\(516\) −6.21398e7 + 5.07909e7i −0.452294 + 0.369689i
\(517\) −1.05270e7 −0.0761786
\(518\) −2.35691e7 + 4.89418e7i −0.169572 + 0.352120i
\(519\) 5.25581e7 + 3.93868e6i 0.375956 + 0.0281740i
\(520\) 3.91915e7 + 4.91446e7i 0.278729 + 0.349515i
\(521\) 3.35744e7 1.08846e8i 0.237408 0.769658i −0.755954 0.654625i \(-0.772827\pi\)
0.993362 0.115033i \(-0.0366973\pi\)
\(522\) −1.03298e7 + 1.78917e7i −0.0726240 + 0.125788i
\(523\) −1.56297e7 + 9.02382e6i −0.109256 + 0.0630791i −0.553632 0.832761i \(-0.686759\pi\)
0.444376 + 0.895840i \(0.353425\pi\)
\(524\) −4.08374e7 + 9.32086e6i −0.283834 + 0.0647832i
\(525\) −5.05418e7 7.61795e6i −0.349279 0.0526454i
\(526\) 1.47396e7 + 1.36764e7i 0.101281 + 0.0939752i
\(527\) 1.15233e8 1.44498e8i 0.787310 0.987255i
\(528\) 1.88744e6 + 2.76837e6i 0.0128225 + 0.0188071i
\(529\) 4.03090e7 3.74013e7i 0.272292 0.252650i
\(530\) 2.39819e6 + 3.20017e7i 0.0161086 + 0.214954i
\(531\) 3.43273e7 8.74645e7i 0.229275 0.584182i
\(532\) 3.41385e7 1.49570e8i 0.226730 0.993370i
\(533\) −1.64635e8 + 5.07831e7i −1.08728 + 0.335380i
\(534\) −5.89423e6 + 8.64525e6i −0.0387082 + 0.0567746i
\(535\) −1.87369e7 1.24311e8i −0.122359 0.811800i
\(536\) −3.18335e7 + 1.24937e7i −0.206724 + 0.0811331i
\(537\) −9.33630e7 + 4.49613e7i −0.602910 + 0.290346i
\(538\) 725023. + 1.50553e6i 0.00465592 + 0.00966811i
\(539\) −118536. 302026.i −0.000756982 0.00192876i
\(540\) −9.47277e7 + 1.42779e7i −0.601583 + 0.0906741i
\(541\) 1.40470e8 + 9.57708e7i 0.887139 + 0.604841i 0.918829 0.394657i \(-0.129137\pi\)
−0.0316899 + 0.999498i \(0.510089\pi\)
\(542\) −6.53610e6 2.11895e7i −0.0410507 0.133083i
\(543\) 2.06002e7 + 4.70187e6i 0.128669 + 0.0293678i
\(544\) 1.46979e8 + 5.76852e7i 0.912977 + 0.358317i
\(545\) −3.28266e6 + 246001.i −0.0202785 + 0.00151967i
\(546\) 2.38260e7 + 2.56783e7i 0.146377 + 0.157757i
\(547\) 2.00344e8 1.36592e8i 1.22409 0.834570i 0.233624 0.972327i \(-0.424942\pi\)
0.990466 + 0.137757i \(0.0439892\pi\)
\(548\) −8.87450e7 7.07718e7i −0.539265 0.430049i
\(549\) 4.76295e7 5.13324e7i 0.287845 0.310223i
\(550\) 148028. 982104.i 0.000889727 0.00590296i
\(551\) 4.14980e7 + 1.81815e8i 0.248069 + 1.08686i
\(552\) −1.86181e7 3.22475e7i −0.110693 0.191725i
\(553\) 2.38382e7 + 1.37630e7i 0.140961 + 0.0813837i
\(554\) 83462.2 + 25744.7i 0.000490863 + 0.000151411i
\(555\) 9.14976e7 7.29669e7i 0.535218 0.426822i
\(556\) 2.05772e7 2.74584e8i 0.119719 1.59754i
\(557\) 1.95475e8 + 9.41358e7i 1.13116 + 0.544740i 0.903324 0.428959i \(-0.141119\pi\)
0.227840 + 0.973699i \(0.426834\pi\)
\(558\) 2.08277e7i 0.119878i
\(559\) 1.98929e8 + 1.80170e8i 1.13884 + 1.03145i
\(560\) −9.27432e7 −0.528102
\(561\) −3.14032e6 + 6.52094e6i −0.0177863 + 0.0369336i
\(562\) 1.60398e7 + 1.20202e6i 0.0903628 + 0.00677175i
\(563\) −1.88542e8 2.36424e8i −1.05653 1.32485i −0.943542 0.331253i \(-0.892529\pi\)
−0.112990 0.993596i \(-0.536043\pi\)
\(564\) 5.36831e7 1.74036e8i 0.299227 0.970069i
\(565\) −5.05445e7 + 8.75457e7i −0.280239 + 0.485388i
\(566\) −7.72531e6 + 4.46021e6i −0.0426056 + 0.0245984i
\(567\) 254653. 58123.0i 0.00139701 0.000318859i
\(568\) −1.58023e7 2.38182e6i −0.0862335 0.0129976i
\(569\) 1.32620e8 + 1.23054e8i 0.719903 + 0.667972i 0.952478 0.304606i \(-0.0985249\pi\)
−0.232576 + 0.972578i \(0.574715\pi\)
\(570\) 1.17634e7 1.47508e7i 0.0635194 0.0796508i
\(571\) −1.57712e8 2.31321e8i −0.847143 1.24253i −0.968273 0.249894i \(-0.919604\pi\)
0.121130 0.992637i \(-0.461348\pi\)
\(572\) 8.74121e6 8.11066e6i 0.0467072 0.0433379i
\(573\) 1.30208e7 + 1.73751e8i 0.0692110 + 0.923557i
\(574\) −1.16054e7 + 2.95700e7i −0.0613654 + 0.156356i
\(575\) 1.96549e7 8.61137e7i 0.103387 0.452969i
\(576\) 7.80045e7 2.40612e7i 0.408181 0.125907i
\(577\) −1.52910e8 + 2.24277e8i −0.795990 + 1.16750i 0.186731 + 0.982411i \(0.440211\pi\)
−0.982721 + 0.185092i \(0.940742\pi\)
\(578\) 8.65074e6 + 5.73939e7i 0.0447992 + 0.297223i
\(579\) −9.91409e7 + 3.89099e7i −0.510760 + 0.200459i
\(580\) 1.08095e8 5.20557e7i 0.554014 0.266799i
\(581\) 6.30342e7 + 1.30892e8i 0.321401 + 0.667397i
\(582\) −7.52988e6 1.91858e7i −0.0381961 0.0973221i
\(583\) 1.23833e7 1.86648e6i 0.0624930 0.00941930i
\(584\) −7.89153e7 5.38036e7i −0.396208 0.270130i
\(585\) 3.60924e7 + 1.17009e8i 0.180280 + 0.584454i
\(586\) −5.86161e7 1.33787e7i −0.291289 0.0664848i
\(587\) 2.01697e8 + 7.91601e7i 0.997204 + 0.391374i 0.807116 0.590393i \(-0.201027\pi\)
0.190088 + 0.981767i \(0.439123\pi\)
\(588\) 5.59769e6 419489.i 0.0275345 0.00206342i
\(589\) 1.27878e8 + 1.37819e8i 0.625819 + 0.674473i
\(590\) 2.57349e7 1.75457e7i 0.125304 0.0854311i
\(591\) 6.37127e7 + 5.08092e7i 0.308648 + 0.246139i
\(592\) −2.04473e8 + 2.20370e8i −0.985532 + 1.06215i
\(593\) 1.72065e7 1.14158e8i 0.0825143 0.547447i −0.908933 0.416942i \(-0.863102\pi\)
0.991448 0.130505i \(-0.0416599\pi\)
\(594\) −474847. 2.08044e6i −0.00226566 0.00992650i
\(595\) −1.00169e8 1.73498e8i −0.475537 0.823654i
\(596\) −2.61868e8 1.51189e8i −1.23693 0.714139i
\(597\) −1.71075e7 5.27696e6i −0.0804014 0.0248005i
\(598\) −4.73278e7 + 3.77427e7i −0.221316 + 0.176494i
\(599\) 2.12558e7 2.83639e8i 0.0989002 1.31973i −0.698208 0.715895i \(-0.746019\pi\)
0.797108 0.603837i \(-0.206362\pi\)
\(600\) 3.18470e7 + 1.53367e7i 0.147440 + 0.0710032i
\(601\) 3.39501e8i 1.56393i 0.623323 + 0.781965i \(0.285782\pi\)
−0.623323 + 0.781965i \(0.714218\pi\)
\(602\) 4.88397e7 7.96400e6i 0.223864 0.0365041i
\(603\) −6.66170e7 −0.303832
\(604\) 2.05763e7 4.27271e7i 0.0933805 0.193907i
\(605\) −1.41806e8 1.06269e7i −0.640366 0.0479888i
\(606\) −2.73741e7 3.43261e7i −0.123005 0.154243i
\(607\) −5.88276e6 + 1.90714e7i −0.0263036 + 0.0852742i −0.967773 0.251825i \(-0.918969\pi\)
0.941469 + 0.337099i \(0.109446\pi\)
\(608\) −8.03088e7 + 1.39099e8i −0.357316 + 0.618889i
\(609\) 1.19110e8 6.87680e7i 0.527345 0.304463i
\(610\) 2.26311e7 5.16539e6i 0.0997046 0.0227569i
\(611\) −6.02265e8 9.07768e7i −2.64036 0.397971i
\(612\) 1.48937e8 + 1.38193e8i 0.649752 + 0.602882i
\(613\) −2.87470e7 + 3.60475e7i −0.124799 + 0.156493i −0.840306 0.542113i \(-0.817624\pi\)
0.715507 + 0.698606i \(0.246196\pi\)
\(614\) −4.47670e7 6.56612e7i −0.193399 0.283664i
\(615\) 5.01674e7 4.65485e7i 0.215673 0.200116i
\(616\) −337977. 4.50999e6i −0.00144592 0.0192945i
\(617\) −6.60146e6 + 1.68203e7i −0.0281051 + 0.0716106i −0.944237 0.329265i \(-0.893199\pi\)
0.916132 + 0.400876i \(0.131294\pi\)
\(618\) 1.14900e7 5.03409e7i 0.0486804 0.213283i
\(619\) 1.78423e8 5.50363e7i 0.752281 0.232048i 0.105181 0.994453i \(-0.466458\pi\)
0.647100 + 0.762405i \(0.275982\pi\)
\(620\) 6.81348e7 9.99354e7i 0.285887 0.419319i
\(621\) −2.82850e7 1.87659e8i −0.118109 0.783600i
\(622\) 3.30516e7 1.29718e7i 0.137348 0.0539050i
\(623\) −1.01829e8 + 4.90383e7i −0.421122 + 0.202802i
\(624\) 8.41108e7 + 1.74658e8i 0.346177 + 0.718844i
\(625\) −6.28999e6 1.60266e7i −0.0257638 0.0656451i
\(626\) −3.53485e6 + 532793.i −0.0144095 + 0.00217188i
\(627\) −6.08322e6 4.14747e6i −0.0246792 0.0168260i
\(628\) 1.00409e8 + 3.25519e8i 0.405411 + 1.31431i
\(629\) −6.33100e8 1.44501e8i −2.54402 0.580655i
\(630\) 2.10159e7 + 8.24813e6i 0.0840478 + 0.0329863i
\(631\) −4.93664e7 + 3.69950e6i −0.196491 + 0.0147250i −0.172612 0.984990i \(-0.555221\pi\)
−0.0238791 + 0.999715i \(0.507602\pi\)
\(632\) −1.29477e7 1.39543e7i −0.0512909 0.0552785i
\(633\) 2.07292e8 1.41330e8i 0.817283 0.557214i
\(634\) 5.20369e7 + 4.14981e7i 0.204194 + 0.162840i
\(635\) −1.11708e8 + 1.20392e8i −0.436276 + 0.470194i
\(636\) −3.22921e7 + 2.14244e8i −0.125523 + 0.832793i
\(637\) −4.17719e6 1.83015e7i −0.0161609 0.0708057i
\(638\) 1.33627e6 + 2.31448e6i 0.00514554 + 0.00891234i
\(639\) −2.69601e7 1.55654e7i −0.103328 0.0596565i
\(640\) 1.30235e8 + 4.01721e7i 0.496807 + 0.153245i
\(641\) 2.37133e8 1.89107e8i 0.900362 0.718015i −0.0595772 0.998224i \(-0.518975\pi\)
0.959939 + 0.280209i \(0.0904038\pi\)
\(642\) −3.62062e6 + 4.83139e7i −0.0136829 + 0.182586i
\(643\) −1.08857e8 5.24229e7i −0.409472 0.197191i 0.217797 0.975994i \(-0.430113\pi\)
−0.627269 + 0.778803i \(0.715827\pi\)
\(644\) 1.95526e8i 0.732060i
\(645\) −1.02245e8 3.01949e7i −0.381032 0.112526i
\(646\) −1.04690e8 −0.388335
\(647\) −3.99211e7 + 8.28970e7i −0.147397 + 0.306074i −0.961575 0.274542i \(-0.911474\pi\)
0.814178 + 0.580616i \(0.197188\pi\)
\(648\) −180132. 13499.0i −0.000662012 4.96109e-5i
\(649\) −7.57830e6 9.50289e6i −0.0277229 0.0347634i
\(650\) 1.69378e7 5.49111e7i 0.0616762 0.199949i
\(651\) 6.93274e7 1.20079e8i 0.251282 0.435234i
\(652\) −1.06258e8 + 6.13480e7i −0.383370 + 0.221339i
\(653\) −4.93030e8 + 1.12531e8i −1.77065 + 0.404140i −0.978511 0.206196i \(-0.933892\pi\)
−0.792143 + 0.610336i \(0.791034\pi\)
\(654\) 1.25448e6 + 189082.i 0.00448467 + 0.000675955i
\(655\) −4.07886e7 3.78463e7i −0.145149 0.134679i
\(656\) −1.09607e8 + 1.37442e8i −0.388262 + 0.486865i
\(657\) −1.04810e8 1.53728e8i −0.369578 0.542072i
\(658\) −8.23196e7 + 7.63814e7i −0.288952 + 0.268108i
\(659\) 1.07344e7 + 1.43241e8i 0.0375078 + 0.500507i 0.984046 + 0.177915i \(0.0569351\pi\)
−0.946538 + 0.322592i \(0.895446\pi\)
\(660\) −1.73047e6 + 4.40917e6i −0.00601912 + 0.0153365i
\(661\) 1.64209e7 7.19448e7i 0.0568582 0.249112i −0.938509 0.345254i \(-0.887793\pi\)
0.995368 + 0.0961413i \(0.0306501\pi\)
\(662\) 8.30170e7 2.56074e7i 0.286150 0.0882655i
\(663\) −2.35894e8 + 3.45993e8i −0.809423 + 1.18721i
\(664\) −1.49741e7 9.93470e7i −0.0511491 0.339352i
\(665\) 1.89707e8 7.44544e7i 0.645086 0.253178i
\(666\) 6.59328e7 3.17516e7i 0.223192 0.107484i
\(667\) 1.03124e8 + 2.14140e8i 0.347523 + 0.721638i
\(668\) −3.82885e7 9.75574e7i −0.128451 0.327289i
\(669\) 3.95870e7 5.96678e6i 0.132213 0.0199279i
\(670\) −1.82459e7 1.24399e7i −0.0606655 0.0413611i
\(671\) −2.67005e6 8.65610e6i −0.00883796 0.0286520i
\(672\) 1.15485e8 + 2.63587e7i 0.380555 + 0.0868592i
\(673\) 1.23759e8 + 4.85720e7i 0.406007 + 0.159346i 0.559551 0.828796i \(-0.310974\pi\)
−0.153544 + 0.988142i \(0.549069\pi\)
\(674\) 1.28168e8 9.60488e6i 0.418601 0.0313698i
\(675\) 1.22535e8 + 1.32061e8i 0.398427 + 0.429402i
\(676\) 3.28581e8 2.24023e8i 1.06366 0.725191i
\(677\) 3.49753e8 + 2.78918e8i 1.12718 + 0.898899i 0.995720 0.0924214i \(-0.0294607\pi\)
0.131464 + 0.991321i \(0.458032\pi\)
\(678\) 2.64986e7 2.85587e7i 0.0850224 0.0916324i
\(679\) 3.31810e7 2.20142e8i 0.105994 0.703222i
\(680\) 3.08294e7 + 1.35073e8i 0.0980480 + 0.429576i
\(681\) −1.38629e8 2.40112e8i −0.438947 0.760278i
\(682\) 2.33331e6 + 1.34714e6i 0.00735562 + 0.00424677i
\(683\) 3.35454e8 + 1.03474e8i 1.05286 + 0.324765i 0.772424 0.635107i \(-0.219044\pi\)
0.280438 + 0.959872i \(0.409520\pi\)
\(684\) −1.61587e8 + 1.28862e8i −0.504940 + 0.402676i
\(685\) 1.12679e7 1.50360e8i 0.0350569 0.467801i
\(686\) −6.90911e7 3.32725e7i −0.214018 0.103065i
\(687\) 2.57102e7i 0.0792932i
\(688\) 2.71266e8 + 3.75520e7i 0.832973 + 0.115310i
\(689\) 7.24562e8 2.21523
\(690\) 1.04329e7 2.16642e7i 0.0317584 0.0659470i
\(691\) −3.85368e8 2.88793e7i −1.16800 0.0875292i −0.523423 0.852073i \(-0.675345\pi\)
−0.644572 + 0.764544i \(0.722964\pi\)
\(692\) −1.19331e8 1.49636e8i −0.360110 0.451564i
\(693\) 2.59684e6 8.41873e6i 0.00780270 0.0252957i
\(694\) −3.55353e6 + 6.15489e6i −0.0106312 + 0.0184137i
\(695\) 3.16768e8 1.82886e8i 0.943596 0.544786i
\(696\) −9.27296e7 + 2.11649e7i −0.275037 + 0.0627754i
\(697\) −3.75502e8 5.65977e7i −1.10895 0.167148i
\(698\) −3.38545e7 3.14123e7i −0.0995519 0.0923707i
\(699\) 9.26317e7 1.16156e8i 0.271224 0.340104i
\(700\) 1.04557e8 + 1.53357e8i 0.304830 + 0.447104i
\(701\) −4.62854e8 + 4.29465e8i −1.34366 + 1.24673i −0.399713 + 0.916640i \(0.630890\pi\)
−0.943948 + 0.330095i \(0.892919\pi\)
\(702\) −9.22655e6 1.23120e8i −0.0266703 0.355890i
\(703\) 2.41338e8 6.14919e8i 0.694639 1.76991i
\(704\) 2.34979e6 1.02951e7i 0.00673458 0.0295061i
\(705\) 2.31184e8 7.13109e7i 0.659768 0.203511i
\(706\) −5.14500e7 + 7.54633e7i −0.146208 + 0.214448i
\(707\) −7.06823e7 4.68947e8i −0.200010 1.32698i
\(708\) 1.95751e8 7.68267e7i 0.551576 0.216477i
\(709\) −5.30097e8 + 2.55281e8i −1.48736 + 0.716276i −0.988614 0.150471i \(-0.951921\pi\)
−0.498748 + 0.866747i \(0.666207\pi\)
\(710\) −4.47754e6 9.29771e6i −0.0125102 0.0259777i
\(711\) −1.35476e7 3.45187e7i −0.0376924 0.0960386i
\(712\) 7.72884e7 1.16493e7i 0.214128 0.0322747i
\(713\) 1.97976e8 + 1.34978e8i 0.546189 + 0.372386i
\(714\) 2.27576e7 + 7.37782e7i 0.0625217 + 0.202691i
\(715\) 1.54429e7 + 3.52473e6i 0.0422484 + 0.00964291i
\(716\) 3.50287e8 + 1.37478e8i 0.954301 + 0.374536i
\(717\) 7.64950e7 5.73251e6i 0.207527 0.0155520i
\(718\) −2.88405e7 3.10826e7i −0.0779164 0.0839740i
\(719\) −3.76521e8 + 2.56707e8i −1.01298 + 0.690640i −0.951557 0.307472i \(-0.900517\pi\)
−0.0614256 + 0.998112i \(0.519565\pi\)
\(720\) 9.76824e7 + 7.78991e7i 0.261709 + 0.208706i
\(721\) 3.79365e8 4.08859e8i 1.01217 1.09086i
\(722\) 2.83715e6 1.88233e7i 0.00753826 0.0500131i
\(723\) −2.15563e6 9.44442e6i −0.00570373 0.0249897i
\(724\) −3.83652e7 6.64505e7i −0.101093 0.175099i
\(725\) −1.95394e8 1.12811e8i −0.512740 0.296030i
\(726\) 5.23690e7 + 1.61537e7i 0.136856 + 0.0422145i
\(727\) −4.42481e7 + 3.52867e7i −0.115157 + 0.0918348i −0.679375 0.733791i \(-0.737749\pi\)
0.564218 + 0.825626i \(0.309178\pi\)
\(728\) 1.95545e7 2.60937e8i 0.0506820 0.676304i
\(729\) 2.15127e8 + 1.03600e8i 0.555280 + 0.267409i
\(730\) 6.16769e7i 0.158546i
\(731\) 2.22737e8 + 5.48028e8i 0.570218 + 1.40298i
\(732\) 1.56722e8 0.399573
\(733\) −2.13609e8 + 4.43563e8i −0.542384 + 1.12627i 0.432102 + 0.901825i \(0.357772\pi\)
−0.974486 + 0.224447i \(0.927942\pi\)
\(734\) −2.49362e6 186871.i −0.00630583 0.000472557i
\(735\) 4.64914e6 + 5.82984e6i 0.0117088 + 0.0146823i
\(736\) −6.03372e7 + 1.95608e8i −0.151339 + 0.490630i
\(737\) −4.30881e6 + 7.46307e6i −0.0107635 + 0.0186430i
\(738\) 3.70606e7 2.13969e7i 0.0922026 0.0532332i
\(739\) 4.23908e8 9.67542e7i 1.05036 0.239738i 0.337705 0.941252i \(-0.390350\pi\)
0.712655 + 0.701514i \(0.247492\pi\)
\(740\) −4.20230e8 6.33395e7i −1.03703 0.156307i
\(741\) −3.12265e8 2.89739e8i −0.767482 0.712120i
\(742\) 8.32929e7 1.04446e8i 0.203890 0.255670i
\(743\) 3.16955e8 + 4.64887e8i 0.772735 + 1.13339i 0.987637 + 0.156759i \(0.0501046\pi\)
−0.214901 + 0.976636i \(0.568943\pi\)
\(744\) −7.02910e7 + 6.52205e7i −0.170679 + 0.158367i
\(745\) −3.00169e7 4.00548e8i −0.0725934 0.968691i
\(746\) 2.57544e7 6.56212e7i 0.0620348 0.158062i
\(747\) 4.35507e7 1.90808e8i 0.104480 0.457757i
\(748\) 2.51150e7 7.74695e6i 0.0600106 0.0185108i
\(749\) −2.94804e8 + 4.32398e8i −0.701598 + 1.02905i
\(750\) 9.20709e6 + 6.10851e7i 0.0218242 + 0.144794i
\(751\) 1.97255e8 7.74169e7i 0.465702 0.182775i −0.120875 0.992668i \(-0.538570\pi\)
0.586578 + 0.809893i \(0.300475\pi\)
\(752\) −5.59918e8 + 2.69642e8i −1.31665