Properties

Label 43.6.e.a.11.3
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.37139 - 6.73550i) q^{2} +(15.6252 - 19.5934i) q^{3} +(-9.39457 + 41.1603i) q^{4} +(-42.9010 + 20.6600i) q^{5} -215.900 q^{6} -55.8448 q^{7} +(79.3171 - 38.1971i) q^{8} +(-85.6808 - 375.392i) q^{9} +O(q^{10})\) \(q+(-5.37139 - 6.73550i) q^{2} +(15.6252 - 19.5934i) q^{3} +(-9.39457 + 41.1603i) q^{4} +(-42.9010 + 20.6600i) q^{5} -215.900 q^{6} -55.8448 q^{7} +(79.3171 - 38.1971i) q^{8} +(-85.6808 - 375.392i) q^{9} +(369.594 + 177.987i) q^{10} +(-41.5992 - 182.258i) q^{11} +(659.677 + 827.208i) q^{12} +(-716.393 + 344.997i) q^{13} +(299.964 + 376.143i) q^{14} +(-265.537 + 1163.39i) q^{15} +(533.891 + 257.108i) q^{16} +(820.073 + 394.926i) q^{17} +(-2068.23 + 2593.48i) q^{18} +(255.615 - 1119.92i) q^{19} +(-447.337 - 1959.91i) q^{20} +(-872.585 + 1094.19i) q^{21} +(-1004.15 + 1259.17i) q^{22} +(-1089.96 - 4775.44i) q^{23} +(490.935 - 2150.93i) q^{24} +(-534.747 + 670.551i) q^{25} +(6171.75 + 2972.16i) q^{26} +(-3207.27 - 1544.54i) q^{27} +(524.638 - 2298.59i) q^{28} +(-623.919 - 782.370i) q^{29} +(9262.33 - 4460.50i) q^{30} +(854.013 + 1070.90i) q^{31} +(-1762.85 - 7723.55i) q^{32} +(-4221.04 - 2032.75i) q^{33} +(-1744.90 - 7644.91i) q^{34} +(2395.80 - 1153.76i) q^{35} +16256.2 q^{36} -14114.5 q^{37} +(-8916.26 + 4293.85i) q^{38} +(-4434.13 + 19427.2i) q^{39} +(-2613.63 + 3277.39i) q^{40} +(-10233.1 - 12831.8i) q^{41} +12056.9 q^{42} +(5571.44 + 10768.8i) q^{43} +7892.59 q^{44} +(11431.4 + 14334.5i) q^{45} +(-26310.4 + 32992.2i) q^{46} +(4589.11 - 20106.2i) q^{47} +(13379.8 - 6443.35i) q^{48} -13688.4 q^{49} +7388.83 q^{50} +(20551.7 - 9897.19i) q^{51} +(-7469.96 - 32728.0i) q^{52} +(18101.7 + 8717.31i) q^{53} +(6824.22 + 29898.9i) q^{54} +(5550.10 + 6959.60i) q^{55} +(-4429.45 + 2133.11i) q^{56} +(-17949.0 - 22507.4i) q^{57} +(-1918.34 + 8404.82i) q^{58} +(4506.67 + 2170.30i) q^{59} +(-45390.9 - 21859.1i) q^{60} +(-21795.9 + 27331.2i) q^{61} +(2625.81 - 11504.4i) q^{62} +(4784.83 + 20963.7i) q^{63} +(-30730.2 + 38534.5i) q^{64} +(23606.3 - 29601.4i) q^{65} +(8981.26 + 39349.5i) q^{66} +(15178.3 - 66500.3i) q^{67} +(-23959.5 + 30044.3i) q^{68} +(-110598. - 53261.1i) q^{69} +(-20639.9 - 9939.64i) q^{70} +(-3101.79 + 13589.8i) q^{71} +(-21134.9 - 26502.3i) q^{72} +(45887.5 - 22098.3i) q^{73} +(75814.5 + 95068.4i) q^{74} +(4782.83 + 20955.0i) q^{75} +(43695.0 + 21042.4i) q^{76} +(2323.10 + 10178.2i) q^{77} +(154669. - 74484.8i) q^{78} +44702.3 q^{79} -28216.3 q^{80} +(3923.45 - 1889.44i) q^{81} +(-31463.3 + 137850. i) q^{82} +(27673.0 - 34700.8i) q^{83} +(-36839.5 - 46195.3i) q^{84} -43341.2 q^{85} +(42607.1 - 95369.9i) q^{86} -25078.1 q^{87} +(-10261.3 - 12867.2i) q^{88} +(-20172.2 + 25295.1i) q^{89} +(35147.8 - 153993. i) q^{90} +(40006.8 - 19266.3i) q^{91} +206798. q^{92} +34326.6 q^{93} +(-160075. + 77088.1i) q^{94} +(12171.5 + 53326.9i) q^{95} +(-178875. - 86141.8i) q^{96} +(-21059.8 - 92269.0i) q^{97} +(73525.5 + 92198.0i) q^{98} +(-64853.9 + 31232.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.37139 6.73550i −0.949536 1.19068i −0.981552 0.191193i \(-0.938764\pi\)
0.0320167 0.999487i \(-0.489807\pi\)
\(3\) 15.6252 19.5934i 1.00236 1.25691i 0.0360953 0.999348i \(-0.488508\pi\)
0.966261 0.257566i \(-0.0829206\pi\)
\(4\) −9.39457 + 41.1603i −0.293580 + 1.28626i
\(5\) −42.9010 + 20.6600i −0.767436 + 0.369578i −0.776284 0.630383i \(-0.782898\pi\)
0.00884786 + 0.999961i \(0.497184\pi\)
\(6\) −215.900 −2.44836
\(7\) −55.8448 −0.430762 −0.215381 0.976530i \(-0.569099\pi\)
−0.215381 + 0.976530i \(0.569099\pi\)
\(8\) 79.3171 38.1971i 0.438169 0.211011i
\(9\) −85.6808 375.392i −0.352596 1.54482i
\(10\) 369.594 + 177.987i 1.16876 + 0.562844i
\(11\) −41.5992 182.258i −0.103658 0.454155i −0.999943 0.0106769i \(-0.996601\pi\)
0.896285 0.443479i \(-0.146256\pi\)
\(12\) 659.677 + 827.208i 1.32245 + 1.65829i
\(13\) −716.393 + 344.997i −1.17569 + 0.566183i −0.916653 0.399685i \(-0.869120\pi\)
−0.259038 + 0.965867i \(0.583405\pi\)
\(14\) 299.964 + 376.143i 0.409024 + 0.512900i
\(15\) −265.537 + 1163.39i −0.304717 + 1.33505i
\(16\) 533.891 + 257.108i 0.521378 + 0.251082i
\(17\) 820.073 + 394.926i 0.688225 + 0.331432i 0.745103 0.666950i \(-0.232400\pi\)
−0.0568781 + 0.998381i \(0.518115\pi\)
\(18\) −2068.23 + 2593.48i −1.50459 + 1.88669i
\(19\) 255.615 1119.92i 0.162444 0.711713i −0.826440 0.563024i \(-0.809638\pi\)
0.988884 0.148688i \(-0.0475051\pi\)
\(20\) −447.337 1959.91i −0.250069 1.09562i
\(21\) −872.585 + 1094.19i −0.431777 + 0.541431i
\(22\) −1004.15 + 1259.17i −0.442327 + 0.554660i
\(23\) −1089.96 4775.44i −0.429628 1.88232i −0.469177 0.883104i \(-0.655449\pi\)
0.0395495 0.999218i \(-0.487408\pi\)
\(24\) 490.935 2150.93i 0.173979 0.762250i
\(25\) −534.747 + 670.551i −0.171119 + 0.214576i
\(26\) 6171.75 + 2972.16i 1.79050 + 0.862261i
\(27\) −3207.27 1544.54i −0.846692 0.407745i
\(28\) 524.638 2298.59i 0.126463 0.554072i
\(29\) −623.919 782.370i −0.137763 0.172750i 0.708164 0.706048i \(-0.249524\pi\)
−0.845927 + 0.533298i \(0.820952\pi\)
\(30\) 9262.33 4460.50i 1.87896 0.904858i
\(31\) 854.013 + 1070.90i 0.159610 + 0.200145i 0.855206 0.518289i \(-0.173431\pi\)
−0.695596 + 0.718434i \(0.744859\pi\)
\(32\) −1762.85 7723.55i −0.304327 1.33334i
\(33\) −4221.04 2032.75i −0.674737 0.324936i
\(34\) −1744.90 7644.91i −0.258865 1.13416i
\(35\) 2395.80 1153.76i 0.330583 0.159200i
\(36\) 16256.2 2.09056
\(37\) −14114.5 −1.69497 −0.847484 0.530820i \(-0.821884\pi\)
−0.847484 + 0.530820i \(0.821884\pi\)
\(38\) −8916.26 + 4293.85i −1.00167 + 0.482378i
\(39\) −4434.13 + 19427.2i −0.466817 + 2.04526i
\(40\) −2613.63 + 3277.39i −0.258282 + 0.323875i
\(41\) −10233.1 12831.8i −0.950705 1.19215i −0.981275 0.192613i \(-0.938304\pi\)
0.0305699 0.999533i \(-0.490268\pi\)
\(42\) 12056.9 1.05466
\(43\) 5571.44 + 10768.8i 0.459511 + 0.888172i
\(44\) 7892.59 0.614594
\(45\) 11431.4 + 14334.5i 0.841528 + 1.05524i
\(46\) −26310.4 + 32992.2i −1.83330 + 2.29888i
\(47\) 4589.11 20106.2i 0.303028 1.32765i −0.562501 0.826797i \(-0.690161\pi\)
0.865530 0.500858i \(-0.166982\pi\)
\(48\) 13379.8 6443.35i 0.838195 0.403654i
\(49\) −13688.4 −0.814444
\(50\) 7388.83 0.417975
\(51\) 20551.7 9897.19i 1.10643 0.532827i
\(52\) −7469.96 32728.0i −0.383098 1.67846i
\(53\) 18101.7 + 8717.31i 0.885175 + 0.426278i 0.820512 0.571629i \(-0.193688\pi\)
0.0646630 + 0.997907i \(0.479403\pi\)
\(54\) 6824.22 + 29898.9i 0.318470 + 1.39531i
\(55\) 5550.10 + 6959.60i 0.247397 + 0.310226i
\(56\) −4429.45 + 2133.11i −0.188747 + 0.0908957i
\(57\) −17949.0 22507.4i −0.731736 0.917567i
\(58\) −1918.34 + 8404.82i −0.0748784 + 0.328064i
\(59\) 4506.67 + 2170.30i 0.168549 + 0.0811689i 0.516256 0.856434i \(-0.327325\pi\)
−0.347707 + 0.937603i \(0.613040\pi\)
\(60\) −45390.9 21859.1i −1.62776 0.783889i
\(61\) −21795.9 + 27331.2i −0.749980 + 0.940446i −0.999611 0.0278956i \(-0.991119\pi\)
0.249631 + 0.968341i \(0.419691\pi\)
\(62\) 2625.81 11504.4i 0.0867528 0.380089i
\(63\) 4784.83 + 20963.7i 0.151885 + 0.665452i
\(64\) −30730.2 + 38534.5i −0.937812 + 1.17598i
\(65\) 23606.3 29601.4i 0.693019 0.869018i
\(66\) 8981.26 + 39349.5i 0.253792 + 1.11193i
\(67\) 15178.3 66500.3i 0.413081 1.80983i −0.156250 0.987717i \(-0.549941\pi\)
0.569331 0.822108i \(-0.307202\pi\)
\(68\) −23959.5 + 30044.3i −0.628356 + 0.787934i
\(69\) −110598. 53261.1i −2.79656 1.34675i
\(70\) −20639.9 9939.64i −0.503457 0.242452i
\(71\) −3101.79 + 13589.8i −0.0730242 + 0.319940i −0.998226 0.0595351i \(-0.981038\pi\)
0.925202 + 0.379475i \(0.123895\pi\)
\(72\) −21134.9 26502.3i −0.480472 0.602493i
\(73\) 45887.5 22098.3i 1.00783 0.485345i 0.144241 0.989543i \(-0.453926\pi\)
0.863588 + 0.504197i \(0.168212\pi\)
\(74\) 75814.5 + 95068.4i 1.60943 + 2.01817i
\(75\) 4782.83 + 20955.0i 0.0981821 + 0.430164i
\(76\) 43695.0 + 21042.4i 0.867757 + 0.417890i
\(77\) 2323.10 + 10178.2i 0.0446520 + 0.195633i
\(78\) 154669. 74484.8i 2.87851 1.38622i
\(79\) 44702.3 0.805866 0.402933 0.915230i \(-0.367991\pi\)
0.402933 + 0.915230i \(0.367991\pi\)
\(80\) −28216.3 −0.492919
\(81\) 3923.45 1889.44i 0.0664440 0.0319978i
\(82\) −31463.3 + 137850.i −0.516737 + 2.26397i
\(83\) 27673.0 34700.8i 0.440921 0.552897i −0.510865 0.859661i \(-0.670675\pi\)
0.951786 + 0.306764i \(0.0992462\pi\)
\(84\) −36839.5 46195.3i −0.569660 0.714331i
\(85\) −43341.2 −0.650659
\(86\) 42607.1 95369.9i 0.621207 1.39048i
\(87\) −25078.1 −0.355219
\(88\) −10261.3 12867.2i −0.141252 0.177124i
\(89\) −20172.2 + 25295.1i −0.269947 + 0.338502i −0.898265 0.439454i \(-0.855172\pi\)
0.628319 + 0.777956i \(0.283743\pi\)
\(90\) 35147.8 153993.i 0.457396 2.00398i
\(91\) 40006.8 19266.3i 0.506443 0.243890i
\(92\) 206798. 2.54728
\(93\) 34326.6 0.411551
\(94\) −160075. + 77088.1i −1.86855 + 0.899845i
\(95\) 12171.5 + 53326.9i 0.138368 + 0.606230i
\(96\) −178875. 86141.8i −1.98094 0.953972i
\(97\) −21059.8 92269.0i −0.227261 0.995695i −0.951862 0.306527i \(-0.900833\pi\)
0.724601 0.689168i \(-0.242024\pi\)
\(98\) 73525.5 + 92198.0i 0.773344 + 0.969742i
\(99\) −64853.9 + 31232.0i −0.665041 + 0.320267i
\(100\) −22576.4 28309.9i −0.225764 0.283099i
\(101\) −12218.9 + 53534.3i −0.119187 + 0.522191i 0.879722 + 0.475488i \(0.157728\pi\)
−0.998909 + 0.0467027i \(0.985129\pi\)
\(102\) −177054. 85264.6i −1.68502 0.811463i
\(103\) −41152.8 19818.1i −0.382213 0.184064i 0.232904 0.972500i \(-0.425177\pi\)
−0.615118 + 0.788435i \(0.710891\pi\)
\(104\) −43644.4 + 54728.3i −0.395681 + 0.496168i
\(105\) 14828.8 64969.4i 0.131260 0.575089i
\(106\) −38515.6 168748.i −0.332945 1.45873i
\(107\) 38731.3 48567.5i 0.327041 0.410097i −0.590943 0.806713i \(-0.701244\pi\)
0.917984 + 0.396616i \(0.129816\pi\)
\(108\) 93704.5 117502.i 0.773038 0.969359i
\(109\) 26795.3 + 117398.i 0.216019 + 0.946441i 0.960387 + 0.278671i \(0.0898939\pi\)
−0.744368 + 0.667770i \(0.767249\pi\)
\(110\) 17064.7 74765.4i 0.134468 0.589141i
\(111\) −220542. + 276551.i −1.69896 + 2.13043i
\(112\) −29815.0 14358.2i −0.224590 0.108157i
\(113\) 98145.2 + 47264.2i 0.723057 + 0.348206i 0.758949 0.651150i \(-0.225713\pi\)
−0.0358920 + 0.999356i \(0.511427\pi\)
\(114\) −55187.4 + 241792.i −0.397720 + 1.74253i
\(115\) 145421. + 182353.i 1.02538 + 1.28578i
\(116\) 38064.0 18330.7i 0.262645 0.126483i
\(117\) 190890. + 239369.i 1.28920 + 1.61660i
\(118\) −9589.02 42012.2i −0.0633971 0.277761i
\(119\) −45796.8 22054.6i −0.296461 0.142768i
\(120\) 23376.6 + 102420.i 0.148193 + 0.649277i
\(121\) 113614. 54713.9i 0.705457 0.339730i
\(122\) 301163. 1.83190
\(123\) −411312. −2.45137
\(124\) −52101.6 + 25090.8i −0.304296 + 0.146541i
\(125\) 42199.0 184886.i 0.241561 1.05835i
\(126\) 115500. 144832.i 0.648120 0.812717i
\(127\) −55635.3 69764.4i −0.306084 0.383818i 0.604870 0.796324i \(-0.293225\pi\)
−0.910955 + 0.412506i \(0.864653\pi\)
\(128\) 171103. 0.923068
\(129\) 298052. + 59101.7i 1.57695 + 0.312698i
\(130\) −326179. −1.69277
\(131\) −134394. 168525.i −0.684230 0.857998i 0.311506 0.950244i \(-0.399167\pi\)
−0.995736 + 0.0922465i \(0.970595\pi\)
\(132\) 123323. 154642.i 0.616042 0.772492i
\(133\) −14274.8 + 62541.9i −0.0699746 + 0.306579i
\(134\) −529442. + 254966.i −2.54716 + 1.22665i
\(135\) 169505. 0.800476
\(136\) 80130.9 0.371495
\(137\) −163478. + 78726.8i −0.744145 + 0.358361i −0.767230 0.641372i \(-0.778366\pi\)
0.0230848 + 0.999734i \(0.492651\pi\)
\(138\) 235323. + 1.03102e6i 1.05188 + 4.60859i
\(139\) 265111. + 127670.i 1.16383 + 0.560472i 0.913160 0.407601i \(-0.133635\pi\)
0.250671 + 0.968072i \(0.419349\pi\)
\(140\) 24981.4 + 109451.i 0.107720 + 0.471953i
\(141\) −322242. 404079.i −1.36501 1.71166i
\(142\) 108195. 52104.1i 0.450285 0.216846i
\(143\) 92679.7 + 116217.i 0.379005 + 0.475257i
\(144\) 50772.2 222448.i 0.204042 0.893967i
\(145\) 42930.5 + 20674.3i 0.169569 + 0.0816601i
\(146\) −395322. 190377.i −1.53486 0.739150i
\(147\) −213883. + 268201.i −0.816363 + 1.02369i
\(148\) 132600. 580958.i 0.497609 2.18017i
\(149\) 4733.80 + 20740.2i 0.0174681 + 0.0765326i 0.982911 0.184083i \(-0.0589316\pi\)
−0.965443 + 0.260616i \(0.916074\pi\)
\(150\) 115452. 144772.i 0.418960 0.525359i
\(151\) 23216.8 29113.0i 0.0828630 0.103907i −0.738672 0.674065i \(-0.764547\pi\)
0.821535 + 0.570158i \(0.193118\pi\)
\(152\) −22503.2 98593.0i −0.0790015 0.346128i
\(153\) 77987.8 341687.i 0.269338 1.18005i
\(154\) 56076.7 70318.0i 0.190538 0.238927i
\(155\) −58762.8 28298.7i −0.196460 0.0946099i
\(156\) −757972. 365020.i −2.49368 1.20090i
\(157\) 105533. 462369.i 0.341695 1.49706i −0.453801 0.891103i \(-0.649932\pi\)
0.795496 0.605959i \(-0.207211\pi\)
\(158\) −240114. 301093.i −0.765198 0.959528i
\(159\) 453643. 218463.i 1.42306 0.685307i
\(160\) 235197. + 294928.i 0.726326 + 0.910784i
\(161\) 60868.8 + 266684.i 0.185067 + 0.810833i
\(162\) −33800.7 16277.6i −0.101190 0.0487306i
\(163\) −31985.9 140139.i −0.0942951 0.413134i 0.905645 0.424036i \(-0.139387\pi\)
−0.999941 + 0.0109018i \(0.996530\pi\)
\(164\) 624298. 300646.i 1.81252 0.872862i
\(165\) 223083. 0.637907
\(166\) −382370. −1.07699
\(167\) −133523. + 64301.4i −0.370481 + 0.178414i −0.609855 0.792513i \(-0.708772\pi\)
0.239374 + 0.970928i \(0.423058\pi\)
\(168\) −27416.2 + 120118.i −0.0749434 + 0.328348i
\(169\) 162699. 204018.i 0.438195 0.549479i
\(170\) 232802. + 291925.i 0.617824 + 0.774726i
\(171\) −442312. −1.15675
\(172\) −495589. + 128154.i −1.27732 + 0.330301i
\(173\) 423603. 1.07608 0.538039 0.842920i \(-0.319165\pi\)
0.538039 + 0.842920i \(0.319165\pi\)
\(174\) 134704. + 168914.i 0.337293 + 0.422953i
\(175\) 29862.8 37446.8i 0.0737116 0.0924314i
\(176\) 24650.6 108001.i 0.0599854 0.262813i
\(177\) 112941. 54389.5i 0.270968 0.130492i
\(178\) 278728. 0.659372
\(179\) 147445. 0.343952 0.171976 0.985101i \(-0.444985\pi\)
0.171976 + 0.985101i \(0.444985\pi\)
\(180\) −697407. + 335853.i −1.60437 + 0.772624i
\(181\) 156935. + 687575.i 0.356059 + 1.56000i 0.762911 + 0.646503i \(0.223769\pi\)
−0.406852 + 0.913494i \(0.633373\pi\)
\(182\) −344660. 165980.i −0.771281 0.371429i
\(183\) 194945. + 854109.i 0.430313 + 1.88532i
\(184\) −268861. 337141.i −0.585441 0.734119i
\(185\) 605527. 291606.i 1.30078 0.626423i
\(186\) −184381. 231207.i −0.390782 0.490025i
\(187\) 37864.1 165893.i 0.0791814 0.346917i
\(188\) 784464. + 377778.i 1.61874 + 0.779546i
\(189\) 179109. + 86254.4i 0.364723 + 0.175641i
\(190\) 293806. 368421.i 0.590441 0.740389i
\(191\) −139713. + 612122.i −0.277110 + 1.21410i 0.624317 + 0.781171i \(0.285377\pi\)
−0.901428 + 0.432929i \(0.857480\pi\)
\(192\) 274855. + 1.20422e6i 0.538084 + 2.35750i
\(193\) −171185. + 214659.i −0.330805 + 0.414817i −0.919221 0.393742i \(-0.871180\pi\)
0.588416 + 0.808559i \(0.299752\pi\)
\(194\) −508358. + 637461.i −0.969762 + 1.21604i
\(195\) −211138. 925055.i −0.397630 1.74213i
\(196\) 128596. 563417.i 0.239105 1.04759i
\(197\) 193151. 242204.i 0.354594 0.444647i −0.572258 0.820074i \(-0.693932\pi\)
0.926852 + 0.375427i \(0.122504\pi\)
\(198\) 558719. + 269065.i 1.01282 + 0.487746i
\(199\) −547032. 263437.i −0.979220 0.471568i −0.125383 0.992108i \(-0.540016\pi\)
−0.853837 + 0.520541i \(0.825730\pi\)
\(200\) −16801.4 + 73612.0i −0.0297010 + 0.130129i
\(201\) −1.06580e6 1.33647e6i −1.86074 2.33330i
\(202\) 426213. 205253.i 0.734934 0.353926i
\(203\) 34842.6 + 43691.3i 0.0593432 + 0.0744140i
\(204\) 214297. + 938895.i 0.360529 + 1.57958i
\(205\) 704115. + 339084.i 1.17020 + 0.563537i
\(206\) 87562.3 + 383635.i 0.143764 + 0.629869i
\(207\) −1.69927e6 + 818327.i −2.75637 + 1.32740i
\(208\) −471177. −0.755137
\(209\) −214748. −0.340067
\(210\) −517253. + 249096.i −0.809384 + 0.389779i
\(211\) −88134.1 + 386141.i −0.136282 + 0.597090i 0.859951 + 0.510376i \(0.170494\pi\)
−0.996233 + 0.0867139i \(0.972363\pi\)
\(212\) −528864. + 663175.i −0.808174 + 1.01342i
\(213\) 217804. + 273118.i 0.328941 + 0.412479i
\(214\) −535168. −0.798832
\(215\) −461504. 346887.i −0.680894 0.511790i
\(216\) −313388. −0.457033
\(217\) −47692.2 59804.1i −0.0687540 0.0862147i
\(218\) 646806. 811068.i 0.921791 1.15589i
\(219\) 284021. 1.24438e6i 0.400167 1.75324i
\(220\) −338600. + 163061.i −0.471662 + 0.227140i
\(221\) −723743. −0.996790
\(222\) 3.04732e6 4.14989
\(223\) −929514. + 447631.i −1.25168 + 0.602778i −0.937962 0.346738i \(-0.887289\pi\)
−0.313720 + 0.949516i \(0.601575\pi\)
\(224\) 98446.0 + 431320.i 0.131093 + 0.574354i
\(225\) 297537. + 143286.i 0.391818 + 0.188690i
\(226\) −208827. 914931.i −0.271967 1.19156i
\(227\) −534990. 670856.i −0.689098 0.864102i 0.307058 0.951691i \(-0.400655\pi\)
−0.996157 + 0.0875887i \(0.972084\pi\)
\(228\) 1.09503e6 527341.i 1.39505 0.671822i
\(229\) 493226. + 618486.i 0.621524 + 0.779366i 0.988558 0.150841i \(-0.0481983\pi\)
−0.367034 + 0.930207i \(0.619627\pi\)
\(230\) 447122. 1.95897e6i 0.557323 2.44179i
\(231\) 235723. + 113518.i 0.290651 + 0.139970i
\(232\) −79371.7 38223.4i −0.0968157 0.0466240i
\(233\) −799019. + 1.00194e6i −0.964200 + 1.20907i 0.0136804 + 0.999906i \(0.495645\pi\)
−0.977881 + 0.209163i \(0.932926\pi\)
\(234\) 586924. 2.57148e6i 0.700717 3.07004i
\(235\) 218517. + 957387.i 0.258117 + 1.13088i
\(236\) −131668. + 165107.i −0.153887 + 0.192968i
\(237\) 698482. 875869.i 0.807764 1.01290i
\(238\) 97443.6 + 426928.i 0.111509 + 0.488554i
\(239\) −98010.3 + 429411.i −0.110988 + 0.486271i 0.888630 + 0.458626i \(0.151658\pi\)
−0.999618 + 0.0276455i \(0.991199\pi\)
\(240\) −440885. + 552852.i −0.494080 + 0.619557i
\(241\) 1.18546e6 + 570887.i 1.31475 + 0.633151i 0.954083 0.299542i \(-0.0968339\pi\)
0.360670 + 0.932694i \(0.382548\pi\)
\(242\) −978793. 471362.i −1.07437 0.517387i
\(243\) 216772. 949739.i 0.235498 1.03178i
\(244\) −920196. 1.15389e6i −0.989477 1.24077i
\(245\) 587244. 282802.i 0.625034 0.301000i
\(246\) 2.20932e6 + 2.77040e6i 2.32766 + 2.91880i
\(247\) 203249. + 890492.i 0.211976 + 0.928726i
\(248\) 108643. + 52319.7i 0.112169 + 0.0540177i
\(249\) −247510. 1.08441e6i −0.252985 1.10840i
\(250\) −1.47197e6 + 708863.i −1.48953 + 0.717318i
\(251\) 287450. 0.287991 0.143995 0.989578i \(-0.454005\pi\)
0.143995 + 0.989578i \(0.454005\pi\)
\(252\) −907823. −0.900534
\(253\) −825020. + 397309.i −0.810332 + 0.390236i
\(254\) −171060. + 749463.i −0.166366 + 0.728897i
\(255\) −677213. + 849199.i −0.652192 + 0.817822i
\(256\) 64304.8 + 80635.6i 0.0613258 + 0.0769001i
\(257\) −1.27806e6 −1.20703 −0.603517 0.797350i \(-0.706234\pi\)
−0.603517 + 0.797350i \(0.706234\pi\)
\(258\) −1.20287e6 2.32499e6i −1.12505 2.17456i
\(259\) 788222. 0.730129
\(260\) 996631. + 1.24974e6i 0.914326 + 1.14653i
\(261\) −240238. + 301248.i −0.218293 + 0.273731i
\(262\) −413218. + 1.81043e6i −0.371900 + 1.62940i
\(263\) 811410. 390754.i 0.723354 0.348349i −0.0357124 0.999362i \(-0.511370\pi\)
0.759066 + 0.651013i \(0.225656\pi\)
\(264\) −412446. −0.364214
\(265\) −956680. −0.836858
\(266\) 497927. 239789.i 0.431481 0.207790i
\(267\) 180422. + 790482.i 0.154886 + 0.678600i
\(268\) 2.59458e6 + 1.24948e6i 2.20663 + 1.06266i
\(269\) −391053. 1.71332e6i −0.329500 1.44363i −0.820086 0.572240i \(-0.806074\pi\)
0.490586 0.871393i \(-0.336783\pi\)
\(270\) −910477. 1.14170e6i −0.760081 0.953111i
\(271\) −1.00952e6 + 486158.i −0.835009 + 0.402119i −0.801991 0.597336i \(-0.796226\pi\)
−0.0330175 + 0.999455i \(0.510512\pi\)
\(272\) 336291. + 421695.i 0.275608 + 0.345602i
\(273\) 247623. 1.08491e6i 0.201087 0.881020i
\(274\) 1.40837e6 + 678234.i 1.13329 + 0.545762i
\(275\) 144458. + 69567.4i 0.115189 + 0.0554720i
\(276\) 3.23126e6 4.05187e6i 2.55329 3.20172i
\(277\) 353896. 1.55052e6i 0.277126 1.21417i −0.624283 0.781198i \(-0.714609\pi\)
0.901409 0.432969i \(-0.142534\pi\)
\(278\) −564086. 2.47142e6i −0.437757 1.91794i
\(279\) 328834. 412345.i 0.252910 0.317140i
\(280\) 145958. 183025.i 0.111258 0.139513i
\(281\) −495394. 2.17046e6i −0.374270 1.63978i −0.714640 0.699492i \(-0.753409\pi\)
0.340370 0.940292i \(-0.389448\pi\)
\(282\) −990788. + 4.34093e6i −0.741922 + 3.25057i
\(283\) 445067. 558096.i 0.330339 0.414231i −0.588730 0.808330i \(-0.700372\pi\)
0.919068 + 0.394099i \(0.128943\pi\)
\(284\) −530222. 255341.i −0.390087 0.187856i
\(285\) 1.23504e6 + 594762.i 0.900673 + 0.433741i
\(286\) 284960. 1.24849e6i 0.206000 0.902547i
\(287\) 571463. + 716592.i 0.409528 + 0.513532i
\(288\) −2.74832e6 + 1.32352e6i −1.95248 + 0.940263i
\(289\) −368713. 462352.i −0.259683 0.325633i
\(290\) −91344.9 400208.i −0.0637807 0.279442i
\(291\) −2.13692e6 1.02909e6i −1.47930 0.712393i
\(292\) 478477. + 2.09635e6i 0.328401 + 1.43882i
\(293\) −97120.4 + 46770.7i −0.0660909 + 0.0318277i −0.466637 0.884449i \(-0.654535\pi\)
0.400546 + 0.916276i \(0.368820\pi\)
\(294\) 2.95532e6 1.99405
\(295\) −238179. −0.159349
\(296\) −1.11952e6 + 539134.i −0.742683 + 0.357657i
\(297\) −148085. + 648801.i −0.0974134 + 0.426796i
\(298\) 114268. 143288.i 0.0745393 0.0934693i
\(299\) 2.42835e6 + 3.04506e6i 1.57085 + 1.96978i
\(300\) −907445. −0.582126
\(301\) −311136. 601383.i −0.197940 0.382591i
\(302\) −320797. −0.202401
\(303\) 857996. + 1.07589e6i 0.536882 + 0.673228i
\(304\) 424413. 532196.i 0.263393 0.330284i
\(305\) 370402. 1.62284e6i 0.227994 0.998908i
\(306\) −2.72033e6 + 1.31004e6i −1.66081 + 0.799802i
\(307\) −778.521 −0.000471438 −0.000235719 1.00000i \(-0.500075\pi\)
−0.000235719 1.00000i \(0.500075\pi\)
\(308\) −440760. −0.264744
\(309\) −1.03132e6 + 496659.i −0.614467 + 0.295912i
\(310\) 125032. + 547800.i 0.0738952 + 0.323756i
\(311\) −2.37068e6 1.14166e6i −1.38987 0.669324i −0.418787 0.908085i \(-0.637545\pi\)
−0.971078 + 0.238761i \(0.923259\pi\)
\(312\) 390360. + 1.71028e6i 0.227028 + 0.994673i
\(313\) 1.82041e6 + 2.28273e6i 1.05029 + 1.31702i 0.946599 + 0.322412i \(0.104494\pi\)
0.103690 + 0.994610i \(0.466935\pi\)
\(314\) −3.68115e6 + 1.77275e6i −2.10697 + 1.01467i
\(315\) −638385. 800509.i −0.362498 0.454559i
\(316\) −419959. + 1.83996e6i −0.236586 + 1.03655i
\(317\) −42897.3 20658.2i −0.0239763 0.0115464i 0.421857 0.906662i \(-0.361378\pi\)
−0.445833 + 0.895116i \(0.647093\pi\)
\(318\) −3.90815e6 1.88207e6i −2.16722 1.04368i
\(319\) −116639. + 146260.i −0.0641749 + 0.0804728i
\(320\) 522234. 2.28806e6i 0.285095 1.24908i
\(321\) −346417. 1.51775e6i −0.187645 0.822126i
\(322\) 1.46930e6 1.84244e6i 0.789715 0.990271i
\(323\) 651911. 817471.i 0.347682 0.435979i
\(324\) 40910.6 + 179241.i 0.0216508 + 0.0948582i
\(325\) 151751. 664864.i 0.0796935 0.349160i
\(326\) −772100. + 968183.i −0.402374 + 0.504561i
\(327\) 2.71890e6 + 1.30935e6i 1.40612 + 0.677154i
\(328\) −1.30180e6 626912.i −0.668126 0.321753i
\(329\) −256278. + 1.12283e6i −0.130533 + 0.571903i
\(330\) −1.19827e6 1.50258e6i −0.605715 0.759543i
\(331\) 1.14239e6 550146.i 0.573118 0.275999i −0.124794 0.992183i \(-0.539827\pi\)
0.697912 + 0.716184i \(0.254113\pi\)
\(332\) 1.16832e6 + 1.46503e6i 0.581723 + 0.729458i
\(333\) 1.20934e6 + 5.29848e6i 0.597639 + 2.61843i
\(334\) 1.15031e6 + 553959.i 0.564219 + 0.271714i
\(335\) 722736. + 3.16651e6i 0.351858 + 1.54159i
\(336\) −747190. + 359828.i −0.361063 + 0.173879i
\(337\) −103775. −0.0497759 −0.0248880 0.999690i \(-0.507923\pi\)
−0.0248880 + 0.999690i \(0.507923\pi\)
\(338\) −2.24808e6 −1.07034
\(339\) 2.45960e6 1.18448e6i 1.16243 0.559795i
\(340\) 407171. 1.78393e6i 0.191021 0.836916i
\(341\) 159653. 200199.i 0.0743519 0.0932343i
\(342\) 2.37583e6 + 2.97920e6i 1.09837 + 1.37732i
\(343\) 1.70301e6 0.781594
\(344\) 853248. + 641339.i 0.388758 + 0.292208i
\(345\) 5.84513e6 2.64391
\(346\) −2.27533e6 2.85318e6i −1.02177 1.28126i
\(347\) −1.19078e6 + 1.49319e6i −0.530894 + 0.665720i −0.972882 0.231301i \(-0.925702\pi\)
0.441988 + 0.897021i \(0.354273\pi\)
\(348\) 235598. 1.03222e6i 0.104285 0.456904i
\(349\) 610350. 293929.i 0.268235 0.129175i −0.294932 0.955518i \(-0.595297\pi\)
0.563167 + 0.826343i \(0.309583\pi\)
\(350\) −412628. −0.180048
\(351\) 2.83052e6 1.22631
\(352\) −1.33435e6 + 642587.i −0.573999 + 0.276424i
\(353\) −46119.8 202064.i −0.0196993 0.0863083i 0.964123 0.265457i \(-0.0855228\pi\)
−0.983822 + 0.179149i \(0.942666\pi\)
\(354\) −972991. 468568.i −0.412668 0.198730i
\(355\) −147697. 647101.i −0.0622013 0.272522i
\(356\) −851646. 1.06793e6i −0.356151 0.446599i
\(357\) −1.14771e6 + 552707.i −0.476607 + 0.229522i
\(358\) −791984. 993117.i −0.326595 0.409537i
\(359\) −809493. + 3.54662e6i −0.331495 + 1.45237i 0.484742 + 0.874657i \(0.338913\pi\)
−0.816237 + 0.577717i \(0.803944\pi\)
\(360\) 1.45424e6 + 700327.i 0.591400 + 0.284803i
\(361\) 1.04200e6 + 501799.i 0.420822 + 0.202657i
\(362\) 3.78821e6 4.75027e6i 1.51937 1.90523i
\(363\) 703219. 3.08100e6i 0.280107 1.22723i
\(364\) 417158. + 1.82769e6i 0.165024 + 0.723018i
\(365\) −1.51207e6 + 1.89607e6i −0.594072 + 0.744943i
\(366\) 4.70573e6 5.90080e6i 1.83622 2.30255i
\(367\) −1.05371e6 4.61659e6i −0.408371 1.78919i −0.591722 0.806142i \(-0.701552\pi\)
0.183351 0.983047i \(-0.441305\pi\)
\(368\) 645884. 2.82980e6i 0.248619 1.08927i
\(369\) −3.94020e6 + 4.94085e6i −1.50644 + 1.88902i
\(370\) −5.21663e6 2.51220e6i −1.98101 0.954003i
\(371\) −1.01088e6 486816.i −0.381300 0.183624i
\(372\) −322484. + 1.41289e6i −0.120823 + 0.529361i
\(373\) −154368. 193571.i −0.0574492 0.0720390i 0.752277 0.658847i \(-0.228956\pi\)
−0.809726 + 0.586808i \(0.800384\pi\)
\(374\) −1.32076e6 + 636044.i −0.488252 + 0.235130i
\(375\) −2.96317e6 3.71570e6i −1.08812 1.36446i
\(376\) −404004. 1.77006e6i −0.147372 0.645680i
\(377\) 716886. + 345234.i 0.259775 + 0.125101i
\(378\) −381097. 1.66970e6i −0.137185 0.601046i
\(379\) −718231. + 345882.i −0.256842 + 0.123689i −0.557875 0.829925i \(-0.688383\pi\)
0.301033 + 0.953614i \(0.402669\pi\)
\(380\) −2.30930e6 −0.820391
\(381\) −2.23623e6 −0.789231
\(382\) 4.87340e6 2.34691e6i 1.70873 0.822882i
\(383\) −465651. + 2.04015e6i −0.162205 + 0.710665i 0.826765 + 0.562547i \(0.190179\pi\)
−0.988970 + 0.148118i \(0.952679\pi\)
\(384\) 2.67352e6 3.35249e6i 0.925243 1.16022i
\(385\) −309944. 388658.i −0.106569 0.133634i
\(386\) 2.36534e6 0.808026
\(387\) 3.56517e6 3.01416e6i 1.21005 1.02303i
\(388\) 3.99567e6 1.34744
\(389\) −1.88105e6 2.35876e6i −0.630270 0.790333i 0.359479 0.933153i \(-0.382954\pi\)
−0.989749 + 0.142820i \(0.954383\pi\)
\(390\) −5.09661e6 + 6.39095e6i −1.69676 + 2.12767i
\(391\) 992098. 4.34667e6i 0.328180 1.43785i
\(392\) −1.08572e6 + 522856.i −0.356864 + 0.171857i
\(393\) −5.40191e6 −1.76427
\(394\) −2.66885e6 −0.866133
\(395\) −1.91778e6 + 923552.i −0.618451 + 0.297830i
\(396\) −676244. 2.96282e6i −0.216703 0.949439i
\(397\) 1.09493e6 + 527288.i 0.348665 + 0.167908i 0.600016 0.799988i \(-0.295161\pi\)
−0.251351 + 0.967896i \(0.580875\pi\)
\(398\) 1.16394e6 + 5.09956e6i 0.368318 + 1.61371i
\(399\) 1.00236e6 + 1.25692e6i 0.315204 + 0.395253i
\(400\) −457901. + 220513.i −0.143094 + 0.0689104i
\(401\) −2.64774e6 3.32016e6i −0.822269 1.03109i −0.998904 0.0468163i \(-0.985092\pi\)
0.176634 0.984277i \(-0.443479\pi\)
\(402\) −3.27699e6 + 1.43574e7i −1.01137 + 4.43110i
\(403\) −981265. 472552.i −0.300970 0.144940i
\(404\) −2.08870e6 1.00586e6i −0.636682 0.306610i
\(405\) −129284. + 162117.i −0.0391659 + 0.0491125i
\(406\) 107130. 469365.i 0.0322548 0.141318i
\(407\) 587152. + 2.57248e6i 0.175697 + 0.769779i
\(408\) 1.25206e6 1.57003e6i 0.372370 0.466937i
\(409\) −566008. + 709751.i −0.167307 + 0.209796i −0.858416 0.512954i \(-0.828551\pi\)
0.691109 + 0.722751i \(0.257122\pi\)
\(410\) −1.49817e6 6.56392e6i −0.440151 1.92843i
\(411\) −1.01185e6 + 4.43320e6i −0.295469 + 1.29453i
\(412\) 1.20233e6 1.50768e6i 0.348965 0.437588i
\(413\) −251674. 121200.i −0.0726045 0.0349645i
\(414\) 1.46393e7 + 7.04992e6i 4.19778 + 2.02154i
\(415\) −470278. + 2.06042e6i −0.134040 + 0.587268i
\(416\) 3.92749e6 + 4.92492e6i 1.11271 + 1.39529i
\(417\) 6.64389e6 3.19953e6i 1.87104 0.901044i
\(418\) 1.15350e6 + 1.44644e6i 0.322906 + 0.404911i
\(419\) −1.21636e6 5.32923e6i −0.338476 1.48296i −0.802240 0.597002i \(-0.796359\pi\)
0.463764 0.885959i \(-0.346499\pi\)
\(420\) 2.53485e6 + 1.22072e6i 0.701179 + 0.337670i
\(421\) −607407. 2.66122e6i −0.167022 0.731772i −0.987177 0.159630i \(-0.948970\pi\)
0.820155 0.572142i \(-0.193887\pi\)
\(422\) 3.07426e6 1.48048e6i 0.840347 0.404690i
\(423\) −7.94090e6 −2.15784
\(424\) 1.76875e6 0.477806
\(425\) −703350. + 338715.i −0.188886 + 0.0909625i
\(426\) 669677. 2.93405e6i 0.178789 0.783327i
\(427\) 1.21719e6 1.52630e6i 0.323063 0.405108i
\(428\) 1.63519e6 + 2.05046e6i 0.431478 + 0.541056i
\(429\) 3.72521e6 0.977255
\(430\) 142458. + 4.97173e6i 0.0371548 + 1.29669i
\(431\) 7.02818e6 1.82242 0.911212 0.411937i \(-0.135148\pi\)
0.911212 + 0.411937i \(0.135148\pi\)
\(432\) −1.31522e6 1.64923e6i −0.339069 0.425179i
\(433\) 1.25512e6 1.57387e6i 0.321710 0.403412i −0.594509 0.804089i \(-0.702654\pi\)
0.916219 + 0.400677i \(0.131225\pi\)
\(434\) −146638. + 642462.i −0.0373698 + 0.163728i
\(435\) 1.07588e6 518114.i 0.272608 0.131281i
\(436\) −5.08386e6 −1.28079
\(437\) −5.62674e6 −1.40946
\(438\) −9.90711e6 + 4.77101e6i −2.46753 + 1.18830i
\(439\) 1.20630e6 + 5.28515e6i 0.298740 + 1.30887i 0.872005 + 0.489497i \(0.162820\pi\)
−0.573265 + 0.819370i \(0.694323\pi\)
\(440\) 706055. + 340018.i 0.173863 + 0.0837279i
\(441\) 1.17283e6 + 5.13850e6i 0.287170 + 1.25817i
\(442\) 3.88750e6 + 4.87477e6i 0.946488 + 1.18686i
\(443\) 684079. 329435.i 0.165614 0.0797555i −0.349240 0.937033i \(-0.613560\pi\)
0.514854 + 0.857278i \(0.327846\pi\)
\(444\) −9.31102e6 1.16756e7i −2.24150 2.81076i
\(445\) 342809. 1.50194e6i 0.0820639 0.359545i
\(446\) 8.00780e6 + 3.85635e6i 1.90623 + 0.917993i
\(447\) 480336. + 231318.i 0.113704 + 0.0547570i
\(448\) 1.71612e6 2.15195e6i 0.403974 0.506567i
\(449\) −1.39610e6 + 6.11671e6i −0.326814 + 1.43186i 0.498352 + 0.866975i \(0.333939\pi\)
−0.825166 + 0.564890i \(0.808919\pi\)
\(450\) −633081. 2.77371e6i −0.147376 0.645698i
\(451\) −1.91302e6 + 2.39885e6i −0.442872 + 0.555343i
\(452\) −2.86744e6 + 3.59566e6i −0.660159 + 0.827813i
\(453\) −207654. 909792.i −0.0475439 0.208304i
\(454\) −1.64492e6 + 7.20686e6i −0.374546 + 1.64099i
\(455\) −1.31829e6 + 1.65308e6i −0.298526 + 0.374340i
\(456\) −2.28338e6 1.09962e6i −0.514241 0.247645i
\(457\) −749409. 360896.i −0.167853 0.0808336i 0.348071 0.937468i \(-0.386837\pi\)
−0.515924 + 0.856635i \(0.672551\pi\)
\(458\) 1.51651e6 6.64426e6i 0.337817 1.48007i
\(459\) −2.02021e6 2.53327e6i −0.447575 0.561241i
\(460\) −8.87185e6 + 4.27246e6i −1.95488 + 0.941420i
\(461\) 4.31761e6 + 5.41411e6i 0.946217 + 1.18652i 0.982327 + 0.187171i \(0.0599319\pi\)
−0.0361101 + 0.999348i \(0.511497\pi\)
\(462\) −501557. 2.19746e6i −0.109324 0.478979i
\(463\) −7.59962e6 3.65979e6i −1.64755 0.793420i −0.999493 0.0318316i \(-0.989866\pi\)
−0.648061 0.761589i \(-0.724420\pi\)
\(464\) −131951. 578115.i −0.0284523 0.124658i
\(465\) −1.47265e6 + 709189.i −0.315839 + 0.152100i
\(466\) 1.10404e7 2.35516
\(467\) −1.89845e6 −0.402815 −0.201408 0.979507i \(-0.564552\pi\)
−0.201408 + 0.979507i \(0.564552\pi\)
\(468\) −1.16458e7 + 5.60833e6i −2.45785 + 1.18364i
\(469\) −847627. + 3.71370e6i −0.177940 + 0.779605i
\(470\) 5.27474e6 6.61432e6i 1.10143 1.38115i
\(471\) −7.41040e6 9.29235e6i −1.53918 1.93007i
\(472\) 440356. 0.0909805
\(473\) 1.73094e6 1.46341e6i 0.355736 0.300756i
\(474\) −9.65124e6 −1.97305
\(475\) 614277. + 770279.i 0.124919 + 0.156644i
\(476\) 1.33801e6 1.67782e6i 0.270672 0.339412i
\(477\) 1.72144e6 7.54213e6i 0.346415 1.51774i
\(478\) 3.41875e6 1.64638e6i 0.684381 0.329580i
\(479\) −970717. −0.193310 −0.0966548 0.995318i \(-0.530814\pi\)
−0.0966548 + 0.995318i \(0.530814\pi\)
\(480\) 9.45362e6 1.87282
\(481\) 1.01115e7 4.86946e6i 1.99276 0.959662i
\(482\) −2.52235e6 1.10511e7i −0.494524 2.16665i
\(483\) 6.17631e6 + 2.97435e6i 1.20465 + 0.580130i
\(484\) 1.18468e6 + 5.19042e6i 0.229873 + 1.00714i
\(485\) 2.80977e6 + 3.52334e6i 0.542395 + 0.680142i
\(486\) −7.56133e6 + 3.64135e6i −1.45214 + 0.699312i
\(487\) 2.69847e6 + 3.38377e6i 0.515579 + 0.646515i 0.969664 0.244443i \(-0.0786052\pi\)
−0.454085 + 0.890958i \(0.650034\pi\)
\(488\) −684815. + 3.00037e6i −0.130174 + 0.570329i
\(489\) −3.24558e6 1.56299e6i −0.613791 0.295586i
\(490\) −5.05913e6 2.43635e6i −0.951887 0.458405i
\(491\) −2.10488e6 + 2.63944e6i −0.394025 + 0.494092i −0.938787 0.344499i \(-0.888049\pi\)
0.544761 + 0.838591i \(0.316620\pi\)
\(492\) 3.86410e6 1.69297e7i 0.719674 3.15310i
\(493\) −202681. 888002.i −0.0375574 0.164550i
\(494\) 4.90619e6 6.15216e6i 0.904538 1.13425i
\(495\) 2.13704e6 2.67977e6i 0.392013 0.491569i
\(496\) 180613. + 791316.i 0.0329643 + 0.144426i
\(497\) 173219. 758922.i 0.0314561 0.137818i
\(498\) −5.97459e6 + 7.49191e6i −1.07953 + 1.35369i
\(499\) −2.01537e6 970552.i −0.362330 0.174489i 0.243857 0.969811i \(-0.421587\pi\)
−0.606187 + 0.795322i \(0.707302\pi\)
\(500\) 7.21352e6 + 3.47385e6i 1.29039 + 0.621421i
\(501\) −826445. + 3.62089e6i −0.147102 + 0.644498i
\(502\) −1.54401e6 1.93612e6i −0.273457 0.342905i
\(503\) 225779. 108730.i 0.0397891 0.0191614i −0.413883 0.910330i \(-0.635828\pi\)
0.453672 + 0.891168i \(0.350114\pi\)
\(504\) 1.18027e6 + 1.48001e6i 0.206969 + 0.259531i
\(505\) −581820. 2.54912e6i −0.101522 0.444797i
\(506\) 7.10758e6 + 3.42283e6i 1.23409 + 0.594304i
\(507\) −1.45520e6 6.37563e6i −0.251421 1.10155i
\(508\) 3.39419e6 1.63456e6i 0.583549 0.281022i
\(509\) −3.52927e6 −0.603796 −0.301898 0.953340i \(-0.597620\pi\)
−0.301898 + 0.953340i \(0.597620\pi\)
\(510\) 9.35736e6 1.59304
\(511\) −2.56258e6 + 1.23407e6i −0.434135 + 0.209068i
\(512\) 1.41609e6 6.20428e6i 0.238734 1.04596i
\(513\) −2.54959e6 + 3.19709e6i −0.427737 + 0.536366i
\(514\) 6.86497e6 + 8.60840e6i 1.14612 + 1.43719i
\(515\) 2.17494e6 0.361351
\(516\) −5.23271e6 + 1.17127e7i −0.865172 + 1.93656i
\(517\) −3.85541e6 −0.634373
\(518\) −4.23385e6 5.30908e6i −0.693283 0.869350i
\(519\) 6.61887e6 8.29980e6i 1.07861 1.35254i
\(520\) 741698. 3.24959e6i 0.120287 0.527012i
\(521\) −1.13498e6 + 546577.i −0.183186 + 0.0882180i −0.523229 0.852192i \(-0.675273\pi\)
0.340043 + 0.940410i \(0.389559\pi\)
\(522\) 3.31947e6 0.533203
\(523\) 1.69055e6 0.270255 0.135127 0.990828i \(-0.456856\pi\)
0.135127 + 0.990828i \(0.456856\pi\)
\(524\) 8.19912e6 3.94849e6i 1.30448 0.628206i
\(525\) −267096. 1.17023e6i −0.0422931 0.185298i
\(526\) −6.99032e6 3.36636e6i −1.10162 0.530514i
\(527\) 277427. + 1.21549e6i 0.0435133 + 0.190644i
\(528\) −1.73094e6 2.17053e6i −0.270207 0.338829i
\(529\) −1.58179e7 + 7.61748e6i −2.45759 + 1.18351i
\(530\) 5.13870e6 + 6.44372e6i 0.794627 + 0.996431i
\(531\) 428578. 1.87772e6i 0.0659620 0.288998i
\(532\) −2.44014e6 1.17511e6i −0.373797 0.180011i
\(533\) 1.17578e7 + 5.66227e6i 1.79271 + 0.863322i
\(534\) 4.35518e6 5.46122e6i 0.660926 0.828775i
\(535\) −658205. + 2.88379e6i −0.0994207 + 0.435591i
\(536\) −1.33622e6 5.85438e6i −0.200894 0.880175i
\(537\) 2.30386e6 2.88894e6i 0.344762 0.432318i
\(538\) −9.43955e6 + 1.18368e7i −1.40603 + 1.76311i
\(539\) 569424. + 2.49481e6i 0.0844236 + 0.369884i
\(540\) −1.59243e6 + 6.97688e6i −0.235004 + 1.02962i
\(541\) 2.05772e6 2.58029e6i 0.302268 0.379032i −0.607380 0.794411i \(-0.707780\pi\)
0.909648 + 0.415379i \(0.136351\pi\)
\(542\) 8.69703e6 + 4.18827e6i 1.27167 + 0.612402i
\(543\) 1.59240e7 + 7.66862e6i 2.31768 + 1.11614i
\(544\) 1.60457e6 7.03007e6i 0.232467 1.01850i
\(545\) −3.57499e6 4.48289e6i −0.515565 0.646498i
\(546\) −8.63747e6 + 4.15959e6i −1.23995 + 0.597130i
\(547\) −4.89255e6 6.13506e6i −0.699144 0.876699i 0.297815 0.954624i \(-0.403742\pi\)
−0.996959 + 0.0779245i \(0.975171\pi\)
\(548\) −1.70461e6 7.46840e6i −0.242479 1.06237i
\(549\) 1.21274e7 + 5.84025e6i 1.71726 + 0.826990i
\(550\) −307369. 1.34667e6i −0.0433265 0.189826i
\(551\) −1.03568e6 + 498756.i −0.145327 + 0.0699857i
\(552\) −1.08067e7 −1.50955
\(553\) −2.49639e6 −0.347136
\(554\) −1.23445e7 + 5.94478e6i −1.70882 + 0.822927i
\(555\) 3.74792e6 1.64207e7i 0.516485 2.26287i
\(556\) −7.74555e6 + 9.71262e6i −1.06259 + 1.33245i
\(557\) 1.64593e6 + 2.06394e6i 0.224789 + 0.281876i 0.881418 0.472338i \(-0.156590\pi\)
−0.656629 + 0.754214i \(0.728018\pi\)
\(558\) −4.54365e6 −0.617759
\(559\) −7.70655e6 5.79258e6i −1.04311 0.784048i
\(560\) 1.57573e6 0.212331
\(561\) −2.65878e6 3.33400e6i −0.356677 0.447258i
\(562\) −1.19582e7 + 1.49951e7i −1.59708 + 2.00267i
\(563\) −495648. + 2.17158e6i −0.0659026 + 0.288738i −0.997131 0.0756986i \(-0.975881\pi\)
0.931228 + 0.364437i \(0.118738\pi\)
\(564\) 1.96593e7 9.46743e6i 2.60238 1.25324i
\(565\) −5.18701e6 −0.683590
\(566\) −6.14969e6 −0.806886
\(567\) −219104. + 105515.i −0.0286216 + 0.0137834i
\(568\) 273067. + 1.19639e6i 0.0355139 + 0.155597i
\(569\) −2.59914e6 1.25168e6i −0.336550 0.162074i 0.257974 0.966152i \(-0.416945\pi\)
−0.594524 + 0.804078i \(0.702659\pi\)
\(570\) −2.62783e6 1.15133e7i −0.338774 1.48427i
\(571\) 3.92113e6 + 4.91694e6i 0.503293 + 0.631109i 0.966969 0.254896i \(-0.0820411\pi\)
−0.463676 + 0.886005i \(0.653470\pi\)
\(572\) −5.65420e6 + 2.72292e6i −0.722572 + 0.347972i
\(573\) 9.81049e6 + 1.23020e7i 1.24826 + 1.56526i
\(574\) 1.75706e6 7.69818e6i 0.222591 0.975233i
\(575\) 3.78503e6 + 1.82277e6i 0.477419 + 0.229913i
\(576\) 1.70985e7 + 8.23422e6i 2.14735 + 1.03411i
\(577\) 4.70185e6 5.89593e6i 0.587935 0.737247i −0.395509 0.918462i \(-0.629432\pi\)
0.983443 + 0.181215i \(0.0580031\pi\)
\(578\) −1.13367e6 + 4.96694e6i −0.141146 + 0.618400i
\(579\) 1.53110e6 + 6.70818e6i 0.189805 + 0.831589i
\(580\) −1.25427e6 + 1.57281e6i −0.154818 + 0.194136i
\(581\) −1.54539e6 + 1.93786e6i −0.189932 + 0.238167i
\(582\) 4.54681e6 + 1.99209e7i 0.556416 + 2.43782i
\(583\) 835783. 3.66181e6i 0.101841 0.446194i
\(584\) 2.79557e6 3.50554e6i 0.339187 0.425327i
\(585\) −1.31347e7 6.32536e6i −1.58684 0.764180i
\(586\) 836696. + 402931.i 0.100652 + 0.0484716i
\(587\) −1.26286e6 + 5.53295e6i −0.151273 + 0.662768i 0.841244 + 0.540656i \(0.181824\pi\)
−0.992516 + 0.122112i \(0.961033\pi\)
\(588\) −9.02989e6 1.13231e7i −1.07706 1.35059i
\(589\) 1.41762e6 682692.i 0.168373 0.0810842i
\(590\) 1.27935e6 + 1.60426e6i 0.151307 + 0.189734i
\(591\) −1.72757e6 7.56896e6i −0.203454 0.891389i
\(592\) −7.53561e6 3.62896e6i −0.883719 0.425577i
\(593\) 2.02915e6 + 8.89029e6i 0.236961 + 1.03820i 0.943721 + 0.330742i \(0.107299\pi\)
−0.706760 + 0.707454i \(0.749844\pi\)
\(594\) 5.16542e6 2.48753e6i 0.600675 0.289270i
\(595\) 2.42038e6 0.280279
\(596\) −898143. −0.103569
\(597\) −1.37091e7 + 6.60195e6i −1.57425 + 0.758117i
\(598\) 7.46638e6 3.27124e7i 0.853802 3.74075i
\(599\) 8.80113e6 1.10363e7i 1.00224 1.25677i 0.0359383 0.999354i \(-0.488558\pi\)
0.966301 0.257414i \(-0.0828705\pi\)
\(600\) 1.17978e6 + 1.47940e6i 0.133790 + 0.167767i
\(601\) −1.31501e7 −1.48506 −0.742529 0.669814i \(-0.766374\pi\)
−0.742529 + 0.669814i \(0.766374\pi\)
\(602\) −2.37939e6 + 5.32591e6i −0.267592 + 0.598967i
\(603\) −2.62642e7 −2.94151
\(604\) 980188. + 1.22912e6i 0.109324 + 0.137088i
\(605\) −3.74379e6 + 4.69456e6i −0.415836 + 0.521442i
\(606\) 2.63805e6 1.15581e7i 0.291811 1.27851i
\(607\) 1.29382e7 6.23072e6i 1.42529 0.686383i 0.447174 0.894447i \(-0.352431\pi\)
0.978115 + 0.208064i \(0.0667163\pi\)
\(608\) −9.10041e6 −0.998394
\(609\) 1.40048e6 0.153015
\(610\) −1.29202e7 + 6.22204e6i −1.40587 + 0.677031i
\(611\) 3.64896e6 + 1.59872e7i 0.395427 + 1.73248i
\(612\) 1.33313e7 + 6.42000e6i 1.43877 + 0.692877i
\(613\) −1.42155e6 6.22820e6i −0.152795 0.669439i −0.992065 0.125724i \(-0.959874\pi\)
0.839270 0.543715i \(-0.182983\pi\)
\(614\) 4181.74 + 5243.74i 0.000447647 + 0.000561332i
\(615\) 1.76457e7 8.49773e6i 1.88127 0.905972i
\(616\) 573037. + 718566.i 0.0608459 + 0.0762983i
\(617\) 2.57972e6 1.13025e7i 0.272810 1.19526i −0.633870 0.773439i \(-0.718535\pi\)
0.906680 0.421819i \(-0.138608\pi\)
\(618\) 8.88488e6 + 4.27873e6i 0.935794 + 0.450655i
\(619\) 3.46887e6 + 1.67052e6i 0.363883 + 0.175237i 0.606886 0.794789i \(-0.292418\pi\)
−0.243003 + 0.970025i \(0.578133\pi\)
\(620\) 1.71683e6 2.15284e6i 0.179370 0.224922i
\(621\) −3.88005e6 + 1.69996e7i −0.403746 + 1.76893i
\(622\) 5.04419e6 + 2.21001e7i 0.522776 + 2.29043i
\(623\) 1.12651e6 1.41260e6i 0.116283 0.145814i
\(624\) −7.36223e6 + 9.23194e6i −0.756916 + 0.949143i
\(625\) 1.41297e6 + 6.19062e6i 0.144688 + 0.633919i
\(626\) 5.59717e6 2.45228e7i 0.570864 2.50112i
\(627\) −3.35548e6 + 4.20764e6i −0.340868 + 0.427435i
\(628\) 1.80398e7 + 8.68752e6i 1.82530 + 0.879016i
\(629\) −1.15749e7 5.57420e6i −1.16652 0.561766i
\(630\) −1.96282e6 + 8.59969e6i −0.197029 + 0.863239i
\(631\) −8.79692e6 1.10310e7i −0.879543 1.10291i −0.993989 0.109483i \(-0.965081\pi\)
0.114446 0.993430i \(-0.463491\pi\)
\(632\) 3.54566e6 1.70750e6i 0.353106 0.170047i
\(633\) 6.18868e6 + 7.76037e6i 0.613888 + 0.769791i
\(634\) 91274.2 + 399898.i 0.00901830 + 0.0395118i
\(635\) 3.82815e6 + 1.84354e6i 0.376751 + 0.181434i
\(636\) 4.73022e6 + 2.07245e7i 0.463702 + 2.03161i
\(637\) 9.80624e6 4.72244e6i 0.957534 0.461124i
\(638\) 1.61165e6 0.156754
\(639\) 5.36728e6 0.519999
\(640\) −7.34051e6 + 3.53500e6i −0.708396 + 0.341146i
\(641\) −299625. + 1.31274e6i −0.0288027 + 0.126193i −0.987285 0.158958i \(-0.949187\pi\)
0.958483 + 0.285151i \(0.0920437\pi\)
\(642\) −8.36209e6 + 1.04857e7i −0.800714 + 1.00406i
\(643\) 6.64122e6 + 8.32783e6i 0.633462 + 0.794336i 0.990168 0.139880i \(-0.0446717\pi\)
−0.356706 + 0.934217i \(0.616100\pi\)
\(644\) −1.15486e7 −1.09727
\(645\) −1.40078e7 + 3.62225e6i −1.32578 + 0.342830i
\(646\) −9.00774e6 −0.849248
\(647\) −548433. 687714.i −0.0515066 0.0645873i 0.755411 0.655251i \(-0.227437\pi\)
−0.806918 + 0.590664i \(0.798866\pi\)
\(648\) 239026. 299729.i 0.0223619 0.0280409i
\(649\) 208080. 911659.i 0.0193918 0.0849612i
\(650\) −5.29331e6 + 2.54912e6i −0.491410 + 0.236650i
\(651\) −1.91696e6 −0.177281
\(652\) 6.06867e6 0.559080
\(653\) 1.45273e7 6.99599e6i 1.33322 0.642046i 0.374722 0.927137i \(-0.377738\pi\)
0.958500 + 0.285091i \(0.0920240\pi\)
\(654\) −5.78510e6 2.53462e7i −0.528892 2.31723i
\(655\) 9.24738e6 + 4.45330e6i 0.842200 + 0.405582i
\(656\) −2.16416e6 9.48181e6i −0.196350 0.860264i
\(657\) −1.22272e7 1.53324e7i −1.10513 1.38579i
\(658\) 8.93937e6 4.30497e6i 0.804900 0.387619i
\(659\) 7.58677e6 + 9.51350e6i 0.680523 + 0.853349i 0.995402 0.0957825i \(-0.0305353\pi\)
−0.314879 + 0.949132i \(0.601964\pi\)
\(660\) −2.09577e6 + 9.18218e6i −0.187277 + 0.820514i
\(661\) −2.67595e6 1.28867e6i −0.238218 0.114720i 0.310966 0.950421i \(-0.399347\pi\)
−0.549185 + 0.835701i \(0.685062\pi\)
\(662\) −9.84172e6 4.73952e6i −0.872823 0.420329i
\(663\) −1.13086e7 + 1.41806e7i −0.999138 + 1.25288i
\(664\) 869470. 3.80940e6i 0.0765304 0.335302i
\(665\) −679716. 2.97803e6i −0.0596037 0.261141i
\(666\) 2.91921e7 3.66057e7i 2.55023 3.19789i
\(667\) −3.05611e6 + 3.83224e6i −0.265983 + 0.333533i
\(668\) −1.39227e6 6.09994e6i −0.120721 0.528913i
\(669\) −5.75325e6 + 2.52066e7i −0.496990 + 2.17746i
\(670\) 1.74460e7 2.18766e7i 1.50144 1.88275i
\(671\) 5.88801e6 + 2.83552e6i 0.504850 + 0.243123i
\(672\) 9.98925e6 + 4.81057e6i 0.853316 + 0.410935i
\(673\) 2.27462e6 9.96576e6i 0.193585 0.848151i −0.781071 0.624442i \(-0.785326\pi\)
0.974656 0.223709i \(-0.0718164\pi\)
\(674\) 557417. + 698979.i 0.0472640 + 0.0592672i
\(675\) 2.75077e6 1.32470e6i 0.232377 0.111907i
\(676\) 6.86895e6 + 8.61339e6i 0.578127 + 0.724949i
\(677\) 730405. + 3.20011e6i 0.0612480 + 0.268345i 0.996275 0.0862310i \(-0.0274823\pi\)
−0.935027 + 0.354576i \(0.884625\pi\)
\(678\) −2.11895e7 1.02043e7i −1.77030 0.852533i
\(679\) 1.17608e6 + 5.15274e6i 0.0978954 + 0.428908i
\(680\) −3.43770e6 + 1.65551e6i −0.285099 + 0.137296i
\(681\) −2.15037e7 −1.77682
\(682\) −2.20600e6 −0.181612
\(683\) 1.01037e7 4.86567e6i 0.828758 0.399109i 0.0291085 0.999576i \(-0.490733\pi\)
0.799649 + 0.600468i \(0.205019\pi\)
\(684\) 4.15533e6 1.82057e7i 0.339598 1.48788i
\(685\) 5.38687e6 6.75492e6i 0.438642 0.550039i
\(686\) −9.14751e6 1.14706e7i −0.742151 0.930628i
\(687\) 1.98250e7 1.60258
\(688\) 205785. + 7.18184e6i 0.0165746 + 0.578448i
\(689\) −1.59754e7 −1.28204
\(690\) −3.13965e7 3.93699e7i −2.51049 3.14805i
\(691\) 5.45128e6 6.83569e6i 0.434313 0.544612i −0.515721 0.856756i \(-0.672476\pi\)
0.950035 + 0.312145i \(0.101047\pi\)
\(692\) −3.97956e6 + 1.74356e7i −0.315915 + 1.38411i
\(693\) 3.62175e6 1.74415e6i 0.286474 0.137959i
\(694\) 1.64535e7 1.29676
\(695\) −1.40112e7 −1.10030
\(696\) −1.98912e6 + 957911.i −0.155646 + 0.0749553i
\(697\) −3.32422e6 1.45644e7i −0.259184 1.13556i
\(698\) −5.25819e6 2.53221e6i −0.408505 0.196726i
\(699\) 7.14652e6 + 3.13109e7i 0.553225 + 2.42384i
\(700\) 1.26077e6 + 1.58096e6i 0.0972504 + 0.121948i
\(701\) 1.07182e7 5.16160e6i 0.823808 0.396725i 0.0260186 0.999661i \(-0.491717\pi\)
0.797789 + 0.602937i \(0.206003\pi\)
\(702\) −1.52038e7 1.90650e7i −1.16442 1.46014i
\(703\) −3.60789e6 + 1.58072e7i −0.275337 + 1.20633i
\(704\) 8.30157e6 + 3.99782e6i 0.631289 + 0.304013i
\(705\) 2.21728e7 + 1.06779e7i 1.68015 + 0.809117i
\(706\) −1.11328e6 + 1.39601e6i −0.0840604 + 0.105408i
\(707\) 682360. 2.98961e6i 0.0513411 0.224940i
\(708\) 1.17766e6 + 5.15965e6i 0.0882949 + 0.386845i
\(709\) −1.85307e6 + 2.32367e6i −0.138444 + 0.173604i −0.846220 0.532833i \(-0.821127\pi\)
0.707776 + 0.706437i \(0.249699\pi\)
\(710\) −3.56521e6 + 4.47064e6i −0.265424 + 0.332831i
\(711\) −3.83013e6 1.67809e7i −0.284145 1.24492i
\(712\) −633799. + 2.77686e6i −0.0468545 + 0.205283i
\(713\) 4.18317e6 5.24553e6i 0.308164 0.386425i
\(714\) 9.88754e6 + 4.76159e6i 0.725843 + 0.349547i
\(715\) −6.37709e6 3.07105e6i −0.466506 0.224658i
\(716\) −1.38518e6 + 6.06888e6i −0.100977 + 0.442411i
\(717\) 6.88218e6 + 8.62998e6i 0.499952 + 0.626919i
\(718\) 2.82364e7 1.35979e7i 2.04408 0.984377i
\(719\) −1.07317e7 1.34571e7i −0.774188 0.970801i 0.225806 0.974172i \(-0.427498\pi\)
−0.999994 + 0.00337089i \(0.998927\pi\)
\(720\) 2.41760e6 + 1.05922e7i 0.173801 + 0.761473i
\(721\) 2.29817e6 + 1.10674e6i 0.164643 + 0.0792879i
\(722\) −2.21710e6 9.71373e6i −0.158286 0.693495i
\(723\) 2.97086e7 1.43069e7i 2.11367 1.01789i
\(724\) −2.97751e7 −2.11109
\(725\) 858257. 0.0606419
\(726\) −2.45294e7 + 1.18127e7i −1.72721 + 0.831780i
\(727\) −2.40805e6 + 1.05504e7i −0.168978 + 0.740340i 0.817431 + 0.576027i \(0.195398\pi\)
−0.986408 + 0.164313i \(0.947459\pi\)
\(728\) 2.43731e6 3.05629e6i 0.170444 0.213730i
\(729\) −1.45617e7 1.82598e7i −1.01483 1.27256i
\(730\) 2.08929e7 1.45108
\(731\) 316093. + 1.10315e7i 0.0218787 + 0.763558i
\(732\) −3.69868e7 −2.55134
\(733\) 9.09067e6 + 1.13993e7i 0.624937 + 0.783646i 0.989030 0.147717i \(-0.0471924\pi\)
−0.364093 + 0.931363i \(0.618621\pi\)
\(734\) −2.54352e7 + 3.18947e7i −1.74259 + 2.18514i
\(735\) 3.63476e6 1.59249e7i 0.248175 1.08732i
\(736\) −3.49619e7 + 1.68368e7i −2.37903 + 1.14568i
\(737\) −1.27516e7 −0.864761
\(738\) 5.44435e7 3.67964
\(739\) 2.39125e7 1.15156e7i 1.61070 0.775671i 0.610826 0.791765i \(-0.290837\pi\)
0.999870 + 0.0160942i \(0.00512316\pi\)
\(740\) 6.31394e6 + 2.76632e7i 0.423859 + 1.85705i
\(741\) 2.06235e7 + 9.93177e6i 1.37980 + 0.664479i
\(742\) 2.15090e6 + 9.42369e6i 0.143420 + 0.628364i
\(743\) −1.11696e7 1.40063e7i −0.742277 0.930786i 0.257089 0.966388i \(-0.417237\pi\)
−0.999366 + 0.0356017i \(0.988665\pi\)
\(744\) 2.72269e6 1.31118e6i 0.180329 0.0868418i
\(745\) −631577. 791973.i −0.0416904 0.0522781i
\(746\) −474629. + 2.07949e6i −0.0312254 + 0.136807i
\(747\) −1.53975e7 7.41502e6i −1.00960 0.486196i
\(748\) 6.47250e6 + 3.11699e6i 0.422979 + 0.203696i
\(749\) −2.16294e6 + 2.71224e6i −0.140877 + 0.176654i
\(750\) −9.11077e6 + 3.99169e7i −0.591428 + 2.59122i
\(751\) −4.42790e6 1.93999e7i −0.286483 1.25516i −0.889315 0.457295i \(-0.848818\pi\)
0.602832 0.797868i \(-0.294039\pi\)
\(752\) 7.61955e6 9.55461e6i 0.491343 0.616124i
\(753\) 4.49146e6 5.63212e6i 0.288669 0.361980i
\(754\) −1.52535e6 6.68298e6i −0.0977102 0.428096i
\(755\) −394550. + 1.72864e6i −0.0251904 + 0.110366i
\(756\) −5.23291e6 + 6.56186e6i −0.332996 + 0.417563i
\(757\) −1.80939e6 871356.i −0.114760 0.0552657i 0.375623 0.926773i \(-0.377429\pi\)
−0.490383 + 0.871507i \(0.663143\pi\)
\(758\) 6.18758e6 + 2.97978e6i 0.391154 + 0.188370i
\(759\) −5.10648e6 + 2.23729e7i −0.321749 + 1.40967i
\(760\)