Properties

Label 80.6.q.a.29.3
Level $80$
Weight $6$
Character 80.29
Analytic conductor $12.831$
Analytic rank $0$
Dimension $116$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.3
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.61624 - 0.676673i) q^{2} +(18.5525 - 18.5525i) q^{3} +(31.0842 + 7.60071i) q^{4} +(8.85788 - 55.1955i) q^{5} +(-116.749 + 91.6413i) q^{6} -206.395 q^{7} +(-169.433 - 63.7213i) q^{8} -445.391i q^{9} +O(q^{10})\) \(q+(-5.61624 - 0.676673i) q^{2} +(18.5525 - 18.5525i) q^{3} +(31.0842 + 7.60071i) q^{4} +(8.85788 - 55.1955i) q^{5} +(-116.749 + 91.6413i) q^{6} -206.395 q^{7} +(-169.433 - 63.7213i) q^{8} -445.391i q^{9} +(-87.0972 + 303.997i) q^{10} +(-431.215 + 431.215i) q^{11} +(717.703 - 435.678i) q^{12} +(325.010 - 325.010i) q^{13} +(1159.16 + 139.662i) q^{14} +(-859.678 - 1188.35i) q^{15} +(908.458 + 472.525i) q^{16} +11.3173i q^{17} +(-301.384 + 2501.42i) q^{18} +(633.012 + 633.012i) q^{19} +(694.865 - 1648.38i) q^{20} +(-3829.15 + 3829.15i) q^{21} +(2713.60 - 2130.01i) q^{22} +633.812 q^{23} +(-4325.60 + 1961.22i) q^{24} +(-2968.08 - 977.829i) q^{25} +(-2045.26 + 1605.41i) q^{26} +(-3754.87 - 3754.87i) q^{27} +(-6415.63 - 1568.75i) q^{28} +(-5806.14 - 5806.14i) q^{29} +(4024.03 + 7255.78i) q^{30} +4462.77 q^{31} +(-4782.37 - 3268.54i) q^{32} +16000.2i q^{33} +(7.65811 - 63.5606i) q^{34} +(-1828.22 + 11392.1i) q^{35} +(3385.29 - 13844.6i) q^{36} +(1633.96 + 1633.96i) q^{37} +(-3126.80 - 3983.48i) q^{38} -12059.5i q^{39} +(-5017.94 + 8787.51i) q^{40} +2095.37i q^{41} +(24096.5 - 18914.3i) q^{42} +(-3517.93 - 3517.93i) q^{43} +(-16681.5 + 10126.4i) q^{44} +(-24583.6 - 3945.22i) q^{45} +(-3559.64 - 428.883i) q^{46} -8225.47i q^{47} +(25620.7 - 8087.66i) q^{48} +25791.9 q^{49} +(16007.7 + 7500.14i) q^{50} +(209.964 + 209.964i) q^{51} +(12573.0 - 7632.38i) q^{52} +(-14407.9 - 14407.9i) q^{53} +(18547.4 + 23629.0i) q^{54} +(19981.4 + 27620.7i) q^{55} +(34970.2 + 13151.8i) q^{56} +23487.9 q^{57} +(28679.8 + 36537.5i) q^{58} +(6023.12 - 6023.12i) q^{59} +(-17690.1 - 43473.1i) q^{60} +(-27741.1 - 27741.1i) q^{61} +(-25064.0 - 3019.84i) q^{62} +91926.6i q^{63} +(24647.2 + 21593.0i) q^{64} +(-15060.2 - 20818.0i) q^{65} +(10826.9 - 89861.1i) q^{66} +(-11643.0 + 11643.0i) q^{67} +(-86.0195 + 351.789i) q^{68} +(11758.8 - 11758.8i) q^{69} +(17976.4 - 62743.4i) q^{70} -73970.7i q^{71} +(-28380.9 + 75464.1i) q^{72} -43814.9 q^{73} +(-8071.03 - 10282.3i) q^{74} +(-73206.4 + 36924.1i) q^{75} +(14865.3 + 24488.0i) q^{76} +(89000.6 - 89000.6i) q^{77} +(-8160.35 + 67729.0i) q^{78} +4592.73 q^{79} +(34128.2 - 45957.2i) q^{80} -31094.3 q^{81} +(1417.88 - 11768.1i) q^{82} +(-24957.5 + 24957.5i) q^{83} +(-148130. + 89921.8i) q^{84} +(624.663 + 100.247i) q^{85} +(17377.1 + 22138.0i) q^{86} -215437. q^{87} +(100540. - 45584.5i) q^{88} -127683. i q^{89} +(135398. + 38792.4i) q^{90} +(-67080.5 + 67080.5i) q^{91} +(19701.5 + 4817.42i) q^{92} +(82795.5 - 82795.5i) q^{93} +(-5565.96 + 46196.2i) q^{94} +(40546.5 - 29332.2i) q^{95} +(-149365. + 28085.4i) q^{96} +176164. i q^{97} +(-144854. - 17452.7i) q^{98} +(192059. + 192059. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.61624 0.676673i −0.992820 0.119620i
\(3\) 18.5525 18.5525i 1.19014 1.19014i 0.213118 0.977027i \(-0.431638\pi\)
0.977027 0.213118i \(-0.0683617\pi\)
\(4\) 31.0842 + 7.60071i 0.971382 + 0.237522i
\(5\) 8.85788 55.1955i 0.158455 0.987366i
\(6\) −116.749 + 91.6413i −1.32396 + 1.03923i
\(7\) −206.395 −1.59204 −0.796020 0.605270i \(-0.793065\pi\)
−0.796020 + 0.605270i \(0.793065\pi\)
\(8\) −169.433 63.7213i −0.935995 0.352014i
\(9\) 445.391i 1.83289i
\(10\) −87.0972 + 303.997i −0.275426 + 0.961322i
\(11\) −431.215 + 431.215i −1.07451 + 1.07451i −0.0775232 + 0.996991i \(0.524701\pi\)
−0.996991 + 0.0775232i \(0.975299\pi\)
\(12\) 717.703 435.678i 1.43877 0.873399i
\(13\) 325.010 325.010i 0.533382 0.533382i −0.388195 0.921577i \(-0.626901\pi\)
0.921577 + 0.388195i \(0.126901\pi\)
\(14\) 1159.16 + 139.662i 1.58061 + 0.190440i
\(15\) −859.678 1188.35i −0.986524 1.36369i
\(16\) 908.458 + 472.525i 0.887166 + 0.461450i
\(17\) 11.3173i 0.00949774i 0.999989 + 0.00474887i \(0.00151162\pi\)
−0.999989 + 0.00474887i \(0.998488\pi\)
\(18\) −301.384 + 2501.42i −0.219250 + 1.81973i
\(19\) 633.012 + 633.012i 0.402279 + 0.402279i 0.879036 0.476756i \(-0.158188\pi\)
−0.476756 + 0.879036i \(0.658188\pi\)
\(20\) 694.865 1648.38i 0.388441 0.921473i
\(21\) −3829.15 + 3829.15i −1.89476 + 1.89476i
\(22\) 2713.60 2130.01i 1.19533 0.938265i
\(23\) 633.812 0.249828 0.124914 0.992168i \(-0.460135\pi\)
0.124914 + 0.992168i \(0.460135\pi\)
\(24\) −4325.60 + 1961.22i −1.53292 + 0.695022i
\(25\) −2968.08 977.829i −0.949784 0.312905i
\(26\) −2045.26 + 1605.41i −0.593356 + 0.465749i
\(27\) −3754.87 3754.87i −0.991255 0.991255i
\(28\) −6415.63 1568.75i −1.54648 0.378145i
\(29\) −5806.14 5806.14i −1.28201 1.28201i −0.939520 0.342494i \(-0.888728\pi\)
−0.342494 0.939520i \(-0.611272\pi\)
\(30\) 4024.03 + 7255.78i 0.816316 + 1.47191i
\(31\) 4462.77 0.834065 0.417033 0.908892i \(-0.363070\pi\)
0.417033 + 0.908892i \(0.363070\pi\)
\(32\) −4782.37 3268.54i −0.825598 0.564259i
\(33\) 16000.2i 2.55765i
\(34\) 7.65811 63.5606i 0.00113612 0.00942954i
\(35\) −1828.22 + 11392.1i −0.252266 + 1.57193i
\(36\) 3385.29 13844.6i 0.435351 1.78043i
\(37\) 1633.96 + 1633.96i 0.196217 + 0.196217i 0.798376 0.602159i \(-0.205693\pi\)
−0.602159 + 0.798376i \(0.705693\pi\)
\(38\) −3126.80 3983.48i −0.351270 0.447511i
\(39\) 12059.5i 1.26960i
\(40\) −5017.94 + 8787.51i −0.495879 + 0.868392i
\(41\) 2095.37i 0.194670i 0.995252 + 0.0973352i \(0.0310319\pi\)
−0.995252 + 0.0973352i \(0.968968\pi\)
\(42\) 24096.5 18914.3i 2.10780 1.65450i
\(43\) −3517.93 3517.93i −0.290146 0.290146i 0.546992 0.837138i \(-0.315773\pi\)
−0.837138 + 0.546992i \(0.815773\pi\)
\(44\) −16681.5 + 10126.4i −1.29898 + 0.788542i
\(45\) −24583.6 3945.22i −1.80973 0.290429i
\(46\) −3559.64 428.883i −0.248034 0.0298844i
\(47\) 8225.47i 0.543145i −0.962418 0.271573i \(-0.912456\pi\)
0.962418 0.271573i \(-0.0875438\pi\)
\(48\) 25620.7 8087.66i 1.60505 0.506664i
\(49\) 25791.9 1.53459
\(50\) 16007.7 + 7500.14i 0.905535 + 0.424272i
\(51\) 209.964 + 209.964i 0.0113037 + 0.0113037i
\(52\) 12573.0 7632.38i 0.644808 0.391428i
\(53\) −14407.9 14407.9i −0.704549 0.704549i 0.260834 0.965384i \(-0.416002\pi\)
−0.965384 + 0.260834i \(0.916002\pi\)
\(54\) 18547.4 + 23629.0i 0.865563 + 1.10271i
\(55\) 19981.4 + 27620.7i 0.890677 + 1.23120i
\(56\) 34970.2 + 13151.8i 1.49014 + 0.560420i
\(57\) 23487.9 0.957541
\(58\) 28679.8 + 36537.5i 1.11945 + 1.42616i
\(59\) 6023.12 6023.12i 0.225264 0.225264i −0.585447 0.810711i \(-0.699081\pi\)
0.810711 + 0.585447i \(0.199081\pi\)
\(60\) −17690.1 43473.1i −0.634385 1.55899i
\(61\) −27741.1 27741.1i −0.954551 0.954551i 0.0444600 0.999011i \(-0.485843\pi\)
−0.999011 + 0.0444600i \(0.985843\pi\)
\(62\) −25064.0 3019.84i −0.828076 0.0997709i
\(63\) 91926.6i 2.91803i
\(64\) 24647.2 + 21593.0i 0.752173 + 0.658966i
\(65\) −15060.2 20818.0i −0.442127 0.611160i
\(66\) 10826.9 89861.1i 0.305947 2.53929i
\(67\) −11643.0 + 11643.0i −0.316869 + 0.316869i −0.847563 0.530694i \(-0.821931\pi\)
0.530694 + 0.847563i \(0.321931\pi\)
\(68\) −86.0195 + 351.789i −0.00225593 + 0.00922593i
\(69\) 11758.8 11758.8i 0.297331 0.297331i
\(70\) 17976.4 62743.4i 0.438489 1.53046i
\(71\) 73970.7i 1.74146i −0.491761 0.870730i \(-0.663647\pi\)
0.491761 0.870730i \(-0.336353\pi\)
\(72\) −28380.9 + 75464.1i −0.645201 + 1.71557i
\(73\) −43814.9 −0.962310 −0.481155 0.876635i \(-0.659783\pi\)
−0.481155 + 0.876635i \(0.659783\pi\)
\(74\) −8071.03 10282.3i −0.171336 0.218279i
\(75\) −73206.4 + 36924.1i −1.50278 + 0.757978i
\(76\) 14865.3 + 24488.0i 0.295217 + 0.486317i
\(77\) 89000.6 89000.6i 1.71067 1.71067i
\(78\) −8160.35 + 67729.0i −0.151870 + 1.26049i
\(79\) 4592.73 0.0827948 0.0413974 0.999143i \(-0.486819\pi\)
0.0413974 + 0.999143i \(0.486819\pi\)
\(80\) 34128.2 45957.2i 0.596196 0.802839i
\(81\) −31094.3 −0.526585
\(82\) 1417.88 11768.1i 0.0232865 0.193273i
\(83\) −24957.5 + 24957.5i −0.397654 + 0.397654i −0.877405 0.479751i \(-0.840727\pi\)
0.479751 + 0.877405i \(0.340727\pi\)
\(84\) −148130. + 89921.8i −2.29058 + 1.39049i
\(85\) 624.663 + 100.247i 0.00937775 + 0.00150496i
\(86\) 17377.1 + 22138.0i 0.253355 + 0.322770i
\(87\) −215437. −3.05156
\(88\) 100540. 45584.5i 1.38398 0.627496i
\(89\) 127683.i 1.70867i −0.519719 0.854337i \(-0.673963\pi\)
0.519719 0.854337i \(-0.326037\pi\)
\(90\) 135398. + 38792.4i 1.76199 + 0.504824i
\(91\) −67080.5 + 67080.5i −0.849166 + 0.849166i
\(92\) 19701.5 + 4817.42i 0.242678 + 0.0593397i
\(93\) 82795.5 82795.5i 0.992658 0.992658i
\(94\) −5565.96 + 46196.2i −0.0649711 + 0.539246i
\(95\) 40546.5 29332.2i 0.460940 0.333454i
\(96\) −149365. + 28085.4i −1.65413 + 0.311030i
\(97\) 176164.i 1.90102i 0.310693 + 0.950510i \(0.399439\pi\)
−0.310693 + 0.950510i \(0.600561\pi\)
\(98\) −144854. 17452.7i −1.52358 0.183568i
\(99\) 192059. + 192059.i 1.96946 + 1.96946i
\(100\) −84828.1 52954.6i −0.848281 0.529546i
\(101\) 39702.8 39702.8i 0.387273 0.387273i −0.486440 0.873714i \(-0.661705\pi\)
0.873714 + 0.486440i \(0.161705\pi\)
\(102\) −1037.13 1321.29i −0.00987037 0.0125747i
\(103\) 189748. 1.76231 0.881157 0.472824i \(-0.156765\pi\)
0.881157 + 0.472824i \(0.156765\pi\)
\(104\) −75777.6 + 34357.4i −0.687001 + 0.311485i
\(105\) 177433. + 245270.i 1.57059 + 2.17105i
\(106\) 71168.8 + 90667.7i 0.615212 + 0.783768i
\(107\) 48791.8 + 48791.8i 0.411991 + 0.411991i 0.882432 0.470441i \(-0.155905\pi\)
−0.470441 + 0.882432i \(0.655905\pi\)
\(108\) −88177.5 145257.i −0.727442 1.19833i
\(109\) 33432.1 + 33432.1i 0.269524 + 0.269524i 0.828908 0.559384i \(-0.188962\pi\)
−0.559384 + 0.828908i \(0.688962\pi\)
\(110\) −93530.3 168646.i −0.737005 1.32890i
\(111\) 60628.0 0.467052
\(112\) −187501. 97526.8i −1.41240 0.734647i
\(113\) 204550.i 1.50697i −0.657467 0.753483i \(-0.728372\pi\)
0.657467 0.753483i \(-0.271628\pi\)
\(114\) −131914. 15893.6i −0.950665 0.114541i
\(115\) 5614.23 34983.5i 0.0395863 0.246671i
\(116\) −136349. 224610.i −0.940818 1.54983i
\(117\) −144757. 144757.i −0.977629 0.977629i
\(118\) −37902.9 + 29751.6i −0.250592 + 0.196700i
\(119\) 2335.83i 0.0151208i
\(120\) 69934.8 + 256126.i 0.443344 + 1.62368i
\(121\) 210841.i 1.30916i
\(122\) 137029. + 174572.i 0.833514 + 1.06188i
\(123\) 38874.3 + 38874.3i 0.231686 + 0.231686i
\(124\) 138722. + 33920.2i 0.810196 + 0.198109i
\(125\) −80262.6 + 155163.i −0.459450 + 0.888204i
\(126\) 62204.3 516281.i 0.349055 2.89708i
\(127\) 177859.i 0.978513i −0.872140 0.489257i \(-0.837268\pi\)
0.872140 0.489257i \(-0.162732\pi\)
\(128\) −123813. 137949.i −0.667946 0.744209i
\(129\) −130533. −0.690631
\(130\) 70494.6 + 127110.i 0.365845 + 0.659659i
\(131\) 156919. + 156919.i 0.798909 + 0.798909i 0.982924 0.184014i \(-0.0589093\pi\)
−0.184014 + 0.982924i \(0.558909\pi\)
\(132\) −121613. + 497355.i −0.607500 + 2.48446i
\(133\) −130650. 130650.i −0.640445 0.640445i
\(134\) 73268.6 57511.5i 0.352497 0.276690i
\(135\) −240512. + 173991.i −1.13580 + 0.821663i
\(136\) 721.152 1917.52i 0.00334333 0.00888983i
\(137\) 243007. 1.10616 0.553079 0.833129i \(-0.313453\pi\)
0.553079 + 0.833129i \(0.313453\pi\)
\(138\) −73997.1 + 58083.3i −0.330763 + 0.259629i
\(139\) 156573. 156573.i 0.687352 0.687352i −0.274294 0.961646i \(-0.588444\pi\)
0.961646 + 0.274294i \(0.0884440\pi\)
\(140\) −143417. + 340218.i −0.618415 + 1.46702i
\(141\) −152603. 152603.i −0.646421 0.646421i
\(142\) −50054.0 + 415437.i −0.208314 + 1.72896i
\(143\) 280298.i 1.14625i
\(144\) 210458. 404619.i 0.845785 1.62607i
\(145\) −371903. + 269043.i −1.46896 + 1.06268i
\(146\) 246075. + 29648.4i 0.955401 + 0.115112i
\(147\) 478505. 478505.i 1.82639 1.82639i
\(148\) 38371.0 + 63209.5i 0.143996 + 0.237207i
\(149\) −44779.2 + 44779.2i −0.165238 + 0.165238i −0.784883 0.619644i \(-0.787277\pi\)
0.619644 + 0.784883i \(0.287277\pi\)
\(150\) 436130. 157837.i 1.58266 0.572772i
\(151\) 111293.i 0.397216i 0.980079 + 0.198608i \(0.0636421\pi\)
−0.980079 + 0.198608i \(0.936358\pi\)
\(152\) −66916.9 147589.i −0.234924 0.518139i
\(153\) 5040.62 0.0174083
\(154\) −560073. + 439624.i −1.90302 + 1.49376i
\(155\) 39530.6 246324.i 0.132161 0.823528i
\(156\) 91660.9 374860.i 0.301559 1.23327i
\(157\) 71652.6 71652.6i 0.231997 0.231997i −0.581529 0.813526i \(-0.697545\pi\)
0.813526 + 0.581529i \(0.197545\pi\)
\(158\) −25793.8 3107.78i −0.0822003 0.00990392i
\(159\) −534606. −1.67703
\(160\) −222770. + 235013.i −0.687950 + 0.725758i
\(161\) −130816. −0.397736
\(162\) 174633. + 21040.7i 0.522804 + 0.0629902i
\(163\) 182118. 182118.i 0.536887 0.536887i −0.385726 0.922613i \(-0.626049\pi\)
0.922613 + 0.385726i \(0.126049\pi\)
\(164\) −15926.3 + 65132.8i −0.0462386 + 0.189099i
\(165\) 883140. + 141728.i 2.52534 + 0.405272i
\(166\) 157055. 123279.i 0.442367 0.347232i
\(167\) −154635. −0.429058 −0.214529 0.976718i \(-0.568822\pi\)
−0.214529 + 0.976718i \(0.568822\pi\)
\(168\) 892783. 404786.i 2.44046 1.10650i
\(169\) 160030.i 0.431007i
\(170\) −3440.42 985.705i −0.00913039 0.00261592i
\(171\) 281938. 281938.i 0.737332 0.737332i
\(172\) −82613.4 136091.i −0.212926 0.350759i
\(173\) −244108. + 244108.i −0.620107 + 0.620107i −0.945559 0.325452i \(-0.894484\pi\)
0.325452 + 0.945559i \(0.394484\pi\)
\(174\) 1.20995e6 + 145781.i 3.02965 + 0.365028i
\(175\) 612596. + 201819.i 1.51210 + 0.498158i
\(176\) −595500. + 187981.i −1.44911 + 0.457438i
\(177\) 223488.i 0.536193i
\(178\) −86399.9 + 717100.i −0.204392 + 1.69641i
\(179\) −242500. 242500.i −0.565690 0.565690i 0.365228 0.930918i \(-0.380991\pi\)
−0.930918 + 0.365228i \(0.880991\pi\)
\(180\) −734175. 309487.i −1.68896 0.711969i
\(181\) 315882. 315882.i 0.716684 0.716684i −0.251240 0.967925i \(-0.580838\pi\)
0.967925 + 0.251240i \(0.0808385\pi\)
\(182\) 422131. 331348.i 0.944646 0.741492i
\(183\) −1.02933e6 −2.27211
\(184\) −107389. 40387.3i −0.233837 0.0879428i
\(185\) 104660. 75713.6i 0.224829 0.162646i
\(186\) −521025. + 408974.i −1.10427 + 0.866788i
\(187\) −4880.18 4880.18i −0.0102055 0.0102055i
\(188\) 62519.5 255682.i 0.129009 0.527602i
\(189\) 774986. + 774986.i 1.57812 + 1.57812i
\(190\) −247567. + 137300.i −0.497518 + 0.275922i
\(191\) −673272. −1.33539 −0.667693 0.744436i \(-0.732718\pi\)
−0.667693 + 0.744436i \(0.732718\pi\)
\(192\) 857872. 56663.1i 1.67946 0.110930i
\(193\) 170490.i 0.329462i 0.986338 + 0.164731i \(0.0526757\pi\)
−0.986338 + 0.164731i \(0.947324\pi\)
\(194\) 119205. 989376.i 0.227400 1.88737i
\(195\) −665630. 106822.i −1.25356 0.201174i
\(196\) 801722. + 196037.i 1.49068 + 0.364500i
\(197\) −210873. 210873.i −0.387129 0.387129i 0.486533 0.873662i \(-0.338261\pi\)
−0.873662 + 0.486533i \(0.838261\pi\)
\(198\) −948689. 1.20861e6i −1.71973 2.19091i
\(199\) 248390.i 0.444633i 0.974975 + 0.222317i \(0.0713619\pi\)
−0.974975 + 0.222317i \(0.928638\pi\)
\(200\) 440582. + 354806.i 0.778846 + 0.627215i
\(201\) 432015.i 0.754239i
\(202\) −249846. + 196114.i −0.430818 + 0.338167i
\(203\) 1.19836e6 + 1.19836e6i 2.04102 + 2.04102i
\(204\) 4930.70 + 8122.45i 0.00829531 + 0.0136651i
\(205\) 115655. + 18560.5i 0.192211 + 0.0308464i
\(206\) −1.06567e6 128397.i −1.74966 0.210808i
\(207\) 282294.i 0.457906i
\(208\) 448833. 141683.i 0.719328 0.227070i
\(209\) −545928. −0.864509
\(210\) −830540. 1.49756e6i −1.29961 2.34334i
\(211\) 255913. + 255913.i 0.395718 + 0.395718i 0.876720 0.481001i \(-0.159727\pi\)
−0.481001 + 0.876720i \(0.659727\pi\)
\(212\) −338348. 557369.i −0.517040 0.851733i
\(213\) −1.37234e6 1.37234e6i −2.07259 2.07259i
\(214\) −241010. 307043.i −0.359750 0.458315i
\(215\) −225335. + 163013.i −0.332455 + 0.240505i
\(216\) 396934. + 875464.i 0.578874 + 1.27674i
\(217\) −921093. −1.32787
\(218\) −165140. 210385.i −0.235348 0.299829i
\(219\) −812877. + 812877.i −1.14529 + 1.14529i
\(220\) 411170. + 1.01044e6i 0.572750 + 1.40752i
\(221\) 3678.23 + 3678.23i 0.00506592 + 0.00506592i
\(222\) −340501. 41025.3i −0.463699 0.0558688i
\(223\) 1.06376e6i 1.43246i 0.697866 + 0.716229i \(0.254133\pi\)
−0.697866 + 0.716229i \(0.745867\pi\)
\(224\) 987058. + 674611.i 1.31438 + 0.898324i
\(225\) −435517. + 1.32196e6i −0.573520 + 1.74085i
\(226\) −138414. + 1.14880e6i −0.180263 + 1.49615i
\(227\) 232844. 232844.i 0.299917 0.299917i −0.541064 0.840981i \(-0.681978\pi\)
0.840981 + 0.541064i \(0.181978\pi\)
\(228\) 730103. + 178525.i 0.930138 + 0.227437i
\(229\) 261751. 261751.i 0.329837 0.329837i −0.522687 0.852525i \(-0.675070\pi\)
0.852525 + 0.522687i \(0.175070\pi\)
\(230\) −55203.2 + 192677.i −0.0688090 + 0.240165i
\(231\) 3.30237e6i 4.07189i
\(232\) 613778. + 1.35373e6i 0.748672 + 1.65124i
\(233\) 719528. 0.868276 0.434138 0.900846i \(-0.357053\pi\)
0.434138 + 0.900846i \(0.357053\pi\)
\(234\) 715035. + 910941.i 0.853665 + 1.08755i
\(235\) −454009. 72860.2i −0.536284 0.0860639i
\(236\) 233004. 141444.i 0.272322 0.165312i
\(237\) 85206.6 85206.6i 0.0985377 0.0985377i
\(238\) −1580.60 + 13118.6i −0.00180875 + 0.0150122i
\(239\) −1.47462e6 −1.66988 −0.834941 0.550339i \(-0.814498\pi\)
−0.834941 + 0.550339i \(0.814498\pi\)
\(240\) −219457. 1.48579e6i −0.245936 1.66505i
\(241\) 1.48713e6 1.64933 0.824664 0.565622i \(-0.191364\pi\)
0.824664 + 0.565622i \(0.191364\pi\)
\(242\) −142671. + 1.18414e6i −0.156602 + 1.29976i
\(243\) 335555. 335555.i 0.364542 0.364542i
\(244\) −651459. 1.07316e6i −0.700507 1.15396i
\(245\) 228462. 1.42360e6i 0.243163 1.51521i
\(246\) −192022. 244632.i −0.202308 0.257737i
\(247\) 411470. 0.429137
\(248\) −756141. 284373.i −0.780681 0.293602i
\(249\) 926048.i 0.946532i
\(250\) 555768. 817119.i 0.562398 0.826867i
\(251\) −537301. + 537301.i −0.538311 + 0.538311i −0.923033 0.384722i \(-0.874297\pi\)
0.384722 + 0.923033i \(0.374297\pi\)
\(252\) −698708. + 2.85747e6i −0.693097 + 2.83452i
\(253\) −273309. + 273309.i −0.268443 + 0.268443i
\(254\) −120353. + 998899.i −0.117050 + 0.971487i
\(255\) 13448.9 9729.23i 0.0129520 0.00936975i
\(256\) 602017. + 858538.i 0.574128 + 0.818766i
\(257\) 128023.i 0.120908i −0.998171 0.0604542i \(-0.980745\pi\)
0.998171 0.0604542i \(-0.0192549\pi\)
\(258\) 733104. + 88328.2i 0.685672 + 0.0826133i
\(259\) −337240. 337240.i −0.312385 0.312385i
\(260\) −309903. 761579.i −0.284310 0.698685i
\(261\) −2.58601e6 + 2.58601e6i −2.34979 + 2.34979i
\(262\) −775111. 987477.i −0.697607 0.888738i
\(263\) 1.59175e6 1.41901 0.709506 0.704700i \(-0.248918\pi\)
0.709506 + 0.704700i \(0.248918\pi\)
\(264\) 1.01956e6 2.71097e6i 0.900329 2.39395i
\(265\) −922875. + 667628.i −0.807287 + 0.584009i
\(266\) 645356. + 822172.i 0.559236 + 0.712457i
\(267\) −2.36885e6 2.36885e6i −2.03357 2.03357i
\(268\) −450410. + 273419.i −0.383064 + 0.232537i
\(269\) −517091. 517091.i −0.435699 0.435699i 0.454863 0.890562i \(-0.349688\pi\)
−0.890562 + 0.454863i \(0.849688\pi\)
\(270\) 1.46851e6 814429.i 1.22593 0.679898i
\(271\) 23212.2 0.0191996 0.00959981 0.999954i \(-0.496944\pi\)
0.00959981 + 0.999954i \(0.496944\pi\)
\(272\) −5347.70 + 10281.3i −0.00438273 + 0.00842607i
\(273\) 2.48902e6i 2.02126i
\(274\) −1.36478e6 164436.i −1.09822 0.132319i
\(275\) 1.70153e6 858224.i 1.35678 0.684335i
\(276\) 454888. 276138.i 0.359445 0.218199i
\(277\) −372295. 372295.i −0.291533 0.291533i 0.546153 0.837686i \(-0.316092\pi\)
−0.837686 + 0.546153i \(0.816092\pi\)
\(278\) −985299. + 773402.i −0.764638 + 0.600196i
\(279\) 1.98768e6i 1.52875i
\(280\) 1.03568e6 1.81370e6i 0.789460 1.38251i
\(281\) 568423.i 0.429443i −0.976675 0.214722i \(-0.931116\pi\)
0.976675 0.214722i \(-0.0688844\pi\)
\(282\) 753793. + 960318.i 0.564455 + 0.719105i
\(283\) −260140. 260140.i −0.193082 0.193082i 0.603944 0.797026i \(-0.293595\pi\)
−0.797026 + 0.603944i \(0.793595\pi\)
\(284\) 562230. 2.29932e6i 0.413636 1.69162i
\(285\) 208053. 1.29643e6i 0.151727 0.945443i
\(286\) 189670. 1.57422e6i 0.137115 1.13802i
\(287\) 432473.i 0.309923i
\(288\) −1.45578e6 + 2.13003e6i −1.03422 + 1.51323i
\(289\) 1.41973e6 0.999910
\(290\) 2.27075e6 1.25935e6i 1.58553 0.879329i
\(291\) 3.26828e6 + 3.26828e6i 2.26249 + 2.26249i
\(292\) −1.36195e6 333025.i −0.934771 0.228570i
\(293\) 1.56562e6 + 1.56562e6i 1.06541 + 1.06541i 0.997705 + 0.0677046i \(0.0215675\pi\)
0.0677046 + 0.997705i \(0.478432\pi\)
\(294\) −3.01119e6 + 2.36361e6i −2.03175 + 1.59480i
\(295\) −279097. 385801.i −0.186724 0.258112i
\(296\) −172729. 380964.i −0.114587 0.252729i
\(297\) 3.23831e6 2.13023
\(298\) 281791. 221189.i 0.183817 0.144286i
\(299\) 205995. 205995.i 0.133254 0.133254i
\(300\) −2.55622e6 + 591335.i −1.63981 + 0.379342i
\(301\) 726084. + 726084.i 0.461924 + 0.461924i
\(302\) 75309.3 625050.i 0.0475150 0.394364i
\(303\) 1.47317e6i 0.921822i
\(304\) 275951. + 874178.i 0.171257 + 0.542520i
\(305\) −1.77691e6 + 1.28546e6i −1.09374 + 0.791239i
\(306\) −28309.3 3410.86i −0.0172833 0.00208238i
\(307\) 367810. 367810.i 0.222729 0.222729i −0.586917 0.809647i \(-0.699659\pi\)
0.809647 + 0.586917i \(0.199659\pi\)
\(308\) 3.44298e6 2.09005e6i 2.06804 1.25539i
\(309\) 3.52029e6 3.52029e6i 2.09741 2.09741i
\(310\) −388695. + 1.35667e6i −0.229723 + 0.801805i
\(311\) 1.21854e6i 0.714395i 0.934029 + 0.357198i \(0.116268\pi\)
−0.934029 + 0.357198i \(0.883732\pi\)
\(312\) −768447. + 2.04328e6i −0.446918 + 1.18834i
\(313\) −1.84640e6 −1.06529 −0.532643 0.846340i \(-0.678801\pi\)
−0.532643 + 0.846340i \(0.678801\pi\)
\(314\) −450903. + 353932.i −0.258083 + 0.202580i
\(315\) 5.07393e6 + 814274.i 2.88116 + 0.462375i
\(316\) 142761. + 34908.0i 0.0804254 + 0.0196656i
\(317\) 195597. 195597.i 0.109323 0.109323i −0.650329 0.759653i \(-0.725369\pi\)
0.759653 + 0.650329i \(0.225369\pi\)
\(318\) 3.00247e6 + 361753.i 1.66499 + 0.200606i
\(319\) 5.00739e6 2.75508
\(320\) 1.41016e6 1.16915e6i 0.769826 0.638254i
\(321\) 1.81042e6 0.980657
\(322\) 734691. + 88519.4i 0.394880 + 0.0475772i
\(323\) −7163.98 + 7163.98i −0.00382074 + 0.00382074i
\(324\) −966544. 236339.i −0.511516 0.125076i
\(325\) −1.28246e6 + 646850.i −0.673496 + 0.339700i
\(326\) −1.14605e6 + 899582.i −0.597255 + 0.468810i
\(327\) 1.24050e6 0.641545
\(328\) 133519. 355024.i 0.0685267 0.182211i
\(329\) 1.69770e6i 0.864710i
\(330\) −4.86402e6 1.39358e6i −2.45873 0.704443i
\(331\) −2.55769e6 + 2.55769e6i −1.28315 + 1.28315i −0.344284 + 0.938865i \(0.611878\pi\)
−0.938865 + 0.344284i \(0.888122\pi\)
\(332\) −965479. + 586090.i −0.480726 + 0.291823i
\(333\) 727750. 727750.i 0.359643 0.359643i
\(334\) 868465. + 104637.i 0.425977 + 0.0513239i
\(335\) 539510. + 745775.i 0.262656 + 0.363075i
\(336\) −5.28799e6 + 1.66925e6i −2.55530 + 0.806630i
\(337\) 2.31360e6i 1.10972i −0.831943 0.554861i \(-0.812772\pi\)
0.831943 0.554861i \(-0.187228\pi\)
\(338\) 108288. 898765.i 0.0515571 0.427912i
\(339\) −3.79492e6 3.79492e6i −1.79351 1.79351i
\(340\) 18655.2 + 7863.99i 0.00875191 + 0.00368932i
\(341\) −1.92441e6 + 1.92441e6i −0.896214 + 0.896214i
\(342\) −1.77421e6 + 1.39265e6i −0.820238 + 0.643838i
\(343\) −1.85444e6 −0.851096
\(344\) 371887. + 820222.i 0.169440 + 0.373710i
\(345\) −544874. 753190.i −0.246461 0.340688i
\(346\) 1.53615e6 1.20579e6i 0.689832 0.541477i
\(347\) 1.32216e6 + 1.32216e6i 0.589468 + 0.589468i 0.937487 0.348019i \(-0.113146\pi\)
−0.348019 + 0.937487i \(0.613146\pi\)
\(348\) −6.69669e6 1.63748e6i −2.96423 0.724814i
\(349\) −51911.1 51911.1i −0.0228137 0.0228137i 0.695608 0.718422i \(-0.255135\pi\)
−0.718422 + 0.695608i \(0.755135\pi\)
\(350\) −3.30392e6 1.54799e6i −1.44165 0.675458i
\(351\) −2.44074e6 −1.05743
\(352\) 3.47167e6 652787.i 1.49342 0.280811i
\(353\) 1.20346e6i 0.514037i −0.966407 0.257018i \(-0.917260\pi\)
0.966407 0.257018i \(-0.0827401\pi\)
\(354\) −151228. + 1.25516e6i −0.0641394 + 0.532343i
\(355\) −4.08284e6 655223.i −1.71946 0.275942i
\(356\) 970485. 3.96894e6i 0.405848 1.65978i
\(357\) −43335.6 43335.6i −0.0179959 0.0179959i
\(358\) 1.19784e6 + 1.52603e6i 0.493961 + 0.629296i
\(359\) 4.58387e6i 1.87714i 0.345090 + 0.938570i \(0.387848\pi\)
−0.345090 + 0.938570i \(0.612152\pi\)
\(360\) 3.91388e6 + 2.23495e6i 1.59166 + 0.908890i
\(361\) 1.67469e6i 0.676343i
\(362\) −1.98781e6 + 1.56032e6i −0.797268 + 0.625809i
\(363\) −3.91164e6 3.91164e6i −1.55809 1.55809i
\(364\) −2.59500e6 + 1.57529e6i −1.02656 + 0.623169i
\(365\) −388107. + 2.41839e6i −0.152482 + 0.950153i
\(366\) 5.78099e6 + 696523.i 2.25579 + 0.271790i
\(367\) 1.87893e6i 0.728190i −0.931362 0.364095i \(-0.881378\pi\)
0.931362 0.364095i \(-0.118622\pi\)
\(368\) 575792. + 299492.i 0.221639 + 0.115283i
\(369\) 933257. 0.356809
\(370\) −639031. + 354404.i −0.242671 + 0.134584i
\(371\) 2.97372e6 + 2.97372e6i 1.12167 + 1.12167i
\(372\) 3.20294e6 1.94433e6i 1.20003 0.728471i
\(373\) 774892. + 774892.i 0.288383 + 0.288383i 0.836440 0.548058i \(-0.184633\pi\)
−0.548058 + 0.836440i \(0.684633\pi\)
\(374\) 24106.0 + 30710.6i 0.00891140 + 0.0113529i
\(375\) 1.38959e6 + 4.36773e6i 0.510279 + 1.60390i
\(376\) −524138. + 1.39367e6i −0.191195 + 0.508381i
\(377\) −3.77411e6 −1.36761
\(378\) −3.82809e6 4.87692e6i −1.37801 1.75556i
\(379\) −66164.9 + 66164.9i −0.0236608 + 0.0236608i −0.718838 0.695177i \(-0.755326\pi\)
0.695177 + 0.718838i \(0.255326\pi\)
\(380\) 1.48330e6 603587.i 0.526952 0.214428i
\(381\) −3.29973e6 3.29973e6i −1.16457 1.16457i
\(382\) 3.78125e6 + 455585.i 1.32580 + 0.159739i
\(383\) 2.35966e6i 0.821964i 0.911643 + 0.410982i \(0.134814\pi\)
−0.911643 + 0.410982i \(0.865186\pi\)
\(384\) −4.85635e6 262266.i −1.68067 0.0907639i
\(385\) −4.12407e6 5.70079e6i −1.41799 1.96012i
\(386\) 115366. 957513.i 0.0394103 0.327097i
\(387\) −1.56686e6 + 1.56686e6i −0.531804 + 0.531804i
\(388\) −1.33897e6 + 5.47591e6i −0.451535 + 1.84662i
\(389\) 1.54044e6 1.54044e6i 0.516144 0.516144i −0.400259 0.916402i \(-0.631080\pi\)
0.916402 + 0.400259i \(0.131080\pi\)
\(390\) 3.66605e6 + 1.05035e6i 1.22050 + 0.349681i
\(391\) 7173.03i 0.00237280i
\(392\) −4.37001e6 1.64349e6i −1.43637 0.540198i
\(393\) 5.82248e6 1.90163
\(394\) 1.04162e6 + 1.32700e6i 0.338041 + 0.430657i
\(395\) 40681.8 253498.i 0.0131192 0.0817488i
\(396\) 4.51023e6 + 7.42980e6i 1.44531 + 2.38089i
\(397\) 2.77633e6 2.77633e6i 0.884086 0.884086i −0.109861 0.993947i \(-0.535040\pi\)
0.993947 + 0.109861i \(0.0350405\pi\)
\(398\) 168079. 1.39502e6i 0.0531871 0.441441i
\(399\) −4.84779e6 −1.52444
\(400\) −2.23432e6 2.29081e6i −0.698226 0.715877i
\(401\) −177492. −0.0551212 −0.0275606 0.999620i \(-0.508774\pi\)
−0.0275606 + 0.999620i \(0.508774\pi\)
\(402\) 292333. 2.42630e6i 0.0902221 0.748823i
\(403\) 1.45044e6 1.45044e6i 0.444875 0.444875i
\(404\) 1.53590e6 932361.i 0.468176 0.284204i
\(405\) −275430. + 1.71627e6i −0.0834398 + 0.519933i
\(406\) −5.91937e6 7.54117e6i −1.78222 2.27051i
\(407\) −1.40917e6 −0.421675
\(408\) −22195.7 48954.1i −0.00660114 0.0145592i
\(409\) 1.07032e6i 0.316377i 0.987409 + 0.158189i \(0.0505654\pi\)
−0.987409 + 0.158189i \(0.949435\pi\)
\(410\) −636984. 182500.i −0.187141 0.0536172i
\(411\) 4.50839e6 4.50839e6i 1.31649 1.31649i
\(412\) 5.89816e6 + 1.44222e6i 1.71188 + 0.418589i
\(413\) −1.24314e6 + 1.24314e6i −0.358629 + 0.358629i
\(414\) −191021. + 1.58543e6i −0.0547747 + 0.454618i
\(415\) 1.15647e6 + 1.59861e6i 0.329620 + 0.455641i
\(416\) −2.61663e6 + 492011.i −0.741325 + 0.139393i
\(417\) 5.80964e6i 1.63610i
\(418\) 3.06606e6 + 369415.i 0.858302 + 0.103413i
\(419\) −3.73689e6 3.73689e6i −1.03986 1.03986i −0.999172 0.0406886i \(-0.987045\pi\)
−0.0406886 0.999172i \(-0.512955\pi\)
\(420\) 3.65115e6 + 8.97264e6i 1.00997 + 2.48197i
\(421\) −2.62619e6 + 2.62619e6i −0.722138 + 0.722138i −0.969040 0.246902i \(-0.920587\pi\)
0.246902 + 0.969040i \(0.420587\pi\)
\(422\) −1.26410e6 1.61044e6i −0.345541 0.440213i
\(423\) −3.66355e6 −0.995524
\(424\) 1.52309e6 + 3.35927e6i 0.411443 + 0.907465i
\(425\) 11066.4 33590.6i 0.00297189 0.00902080i
\(426\) 6.77877e6 + 8.63602e6i 1.80978 + 2.30563i
\(427\) 5.72563e6 + 5.72563e6i 1.51968 + 1.51968i
\(428\) 1.14580e6 + 1.88751e6i 0.302344 + 0.498058i
\(429\) 5.20024e6 + 5.20024e6i 1.36421 + 1.36421i
\(430\) 1.37584e6 763038.i 0.358837 0.199010i
\(431\) 721640. 0.187123 0.0935615 0.995613i \(-0.470175\pi\)
0.0935615 + 0.995613i \(0.470175\pi\)
\(432\) −1.63687e6 5.18541e6i −0.421993 1.33682i
\(433\) 2.32124e6i 0.594977i 0.954725 + 0.297489i \(0.0961491\pi\)
−0.954725 + 0.297489i \(0.903851\pi\)
\(434\) 5.17308e6 + 623279.i 1.31833 + 0.158839i
\(435\) −1.90832e6 + 1.18911e7i −0.483534 + 3.01301i
\(436\) 785103. + 1.29332e6i 0.197793 + 0.325829i
\(437\) 401210. + 401210.i 0.100501 + 0.100501i
\(438\) 5.11536e6 4.01526e6i 1.27406 1.00006i
\(439\) 3093.44i 0.000766092i −1.00000 0.000383046i \(-0.999878\pi\)
1.00000 0.000383046i \(-0.000121927\pi\)
\(440\) −1.62549e6 5.95311e6i −0.400270 1.46593i
\(441\) 1.14875e7i 2.81274i
\(442\) −18168.9 23146.8i −0.00442356 0.00563554i
\(443\) −2.88549e6 2.88549e6i −0.698571 0.698571i 0.265531 0.964102i \(-0.414453\pi\)
−0.964102 + 0.265531i \(0.914453\pi\)
\(444\) 1.88457e6 + 460816.i 0.453686 + 0.110935i
\(445\) −7.04754e6 1.13100e6i −1.68709 0.270747i
\(446\) 719818. 5.97433e6i 0.171351 1.42217i
\(447\) 1.66153e6i 0.393314i
\(448\) −5.08706e6 4.45669e6i −1.19749 1.04910i
\(449\) 2.56587e6 0.600646 0.300323 0.953838i \(-0.402906\pi\)
0.300323 + 0.953838i \(0.402906\pi\)
\(450\) 3.34050e6 7.12971e6i 0.777642 1.65974i
\(451\) −903552. 903552.i −0.209176 0.209176i
\(452\) 1.55473e6 6.35828e6i 0.357938 1.46384i
\(453\) 2.06477e6 + 2.06477e6i 0.472745 + 0.472745i
\(454\) −1.46527e6 + 1.15015e6i −0.333639 + 0.261887i
\(455\) 3.10835e6 + 4.29673e6i 0.703884 + 0.972992i
\(456\) −3.97963e6 1.49668e6i −0.896253 0.337067i
\(457\) −3.63334e6 −0.813796 −0.406898 0.913474i \(-0.633390\pi\)
−0.406898 + 0.913474i \(0.633390\pi\)
\(458\) −1.64718e6 + 1.29294e6i −0.366924 + 0.288014i
\(459\) 42494.9 42494.9i 0.00941468 0.00941468i
\(460\) 440414. 1.04476e6i 0.0970435 0.230210i
\(461\) −1.29705e6 1.29705e6i −0.284253 0.284253i 0.550550 0.834802i \(-0.314418\pi\)
−0.834802 + 0.550550i \(0.814418\pi\)
\(462\) −2.23463e6 + 1.85469e7i −0.487079 + 4.04265i
\(463\) 522295.i 0.113230i 0.998396 + 0.0566152i \(0.0180308\pi\)
−0.998396 + 0.0566152i \(0.981969\pi\)
\(464\) −2.53109e6 8.01818e6i −0.545774 1.72894i
\(465\) −3.83654e6 5.30333e6i −0.822826 1.13741i
\(466\) −4.04104e6 486885.i −0.862042 0.103863i
\(467\) −3.63598e6 + 3.63598e6i −0.771487 + 0.771487i −0.978367 0.206879i \(-0.933669\pi\)
0.206879 + 0.978367i \(0.433669\pi\)
\(468\) −3.39940e6 5.59990e6i −0.717442 1.18186i
\(469\) 2.40307e6 2.40307e6i 0.504468 0.504468i
\(470\) 2.50052e6 + 716416.i 0.522138 + 0.149596i
\(471\) 2.65867e6i 0.552220i
\(472\) −1.40432e6 + 636715.i −0.290142 + 0.131550i
\(473\) 3.03397e6 0.623532
\(474\) −536198. + 420884.i −0.109617 + 0.0860431i
\(475\) −1.25985e6 2.49780e6i −0.256203 0.507954i
\(476\) 17754.0 72607.6i 0.00359152 0.0146881i
\(477\) −6.41716e6 + 6.41716e6i −1.29136 + 1.29136i
\(478\) 8.28182e6 + 997837.i 1.65789 + 0.199751i
\(479\) −3.71225e6 −0.739263 −0.369631 0.929178i \(-0.620516\pi\)
−0.369631 + 0.929178i \(0.620516\pi\)
\(480\) 227132. + 8.49302e6i 0.0449961 + 1.68252i
\(481\) 1.06210e6 0.209317
\(482\) −8.35209e6 1.00630e6i −1.63749 0.197293i
\(483\) −2.42696e6 + 2.42696e6i −0.473363 + 0.473363i
\(484\) 1.60255e6 6.55384e6i 0.310955 1.27169i
\(485\) 9.72343e6 + 1.56044e6i 1.87700 + 0.301225i
\(486\) −2.11162e6 + 1.65749e6i −0.405531 + 0.318318i
\(487\) −1.40634e6 −0.268701 −0.134350 0.990934i \(-0.542895\pi\)
−0.134350 + 0.990934i \(0.542895\pi\)
\(488\) 2.93256e6 + 6.46796e6i 0.557440 + 1.22947i
\(489\) 6.75748e6i 1.27795i
\(490\) −2.24641e6 + 7.84066e6i −0.422667 + 1.47524i
\(491\) −581671. + 581671.i −0.108886 + 0.108886i −0.759451 0.650565i \(-0.774532\pi\)
0.650565 + 0.759451i \(0.274532\pi\)
\(492\) 912905. + 1.50385e6i 0.170025 + 0.280086i
\(493\) 65709.8 65709.8i 0.0121762 0.0121762i
\(494\) −2.31091e6 278431.i −0.426056 0.0513334i
\(495\) 1.23020e7 8.89956e6i 2.25665 1.63251i
\(496\) 4.05424e6 + 2.10877e6i 0.739954 + 0.384879i
\(497\) 1.52672e7i 2.77248i
\(498\) 626632. 5.20091e6i 0.113224 0.939736i
\(499\) −532938. 532938.i −0.0958132 0.0958132i 0.657575 0.753389i \(-0.271582\pi\)
−0.753389 + 0.657575i \(0.771582\pi\)
\(500\) −3.67425e6 + 4.21306e6i −0.657270 + 0.753656i
\(501\) −2.86886e6 + 2.86886e6i −0.510640 + 0.510640i
\(502\) 3.38118e6 2.65403e6i 0.598838 0.470053i
\(503\) 2.67259e6 0.470991 0.235495 0.971875i \(-0.424329\pi\)
0.235495 + 0.971875i \(0.424329\pi\)
\(504\) 5.85768e6 1.55754e7i 1.02719 2.73126i
\(505\) −1.83973e6 2.54310e6i −0.321015 0.443746i
\(506\) 1.71991e6 1.35003e6i 0.298627 0.234405i
\(507\) 2.96896e6 + 2.96896e6i 0.512960 + 0.512960i
\(508\) 1.35186e6 5.52861e6i 0.232419 0.950510i
\(509\) −1.75682e6 1.75682e6i −0.300561 0.300561i 0.540673 0.841233i \(-0.318170\pi\)
−0.841233 + 0.540673i \(0.818170\pi\)
\(510\) −82115.7 + 45541.1i −0.0139798 + 0.00775316i
\(511\) 9.04319e6 1.53204
\(512\) −2.80012e6 5.22912e6i −0.472065 0.881564i
\(513\) 4.75375e6i 0.797522i
\(514\) −86630.0 + 719009.i −0.0144631 + 0.120040i
\(515\) 1.68076e6 1.04732e7i 0.279247 1.74005i
\(516\) −4.05752e6 992144.i −0.670867 0.164040i
\(517\) 3.54695e6 + 3.54695e6i 0.583617 + 0.583617i
\(518\) 1.66582e6 + 2.12222e6i 0.272775 + 0.347510i
\(519\) 9.05763e6i 1.47603i
\(520\) 1.22515e6 + 4.48691e6i 0.198692 + 0.727678i
\(521\) 1.19270e7i 1.92502i 0.271246 + 0.962510i \(0.412564\pi\)
−0.271246 + 0.962510i \(0.587436\pi\)
\(522\) 1.62735e7 1.27737e7i 2.61399 2.05183i
\(523\) −2.80132e6 2.80132e6i −0.447825 0.447825i 0.446806 0.894631i \(-0.352561\pi\)
−0.894631 + 0.446806i \(0.852561\pi\)
\(524\) 3.68501e6 + 6.07040e6i 0.586287 + 0.965805i
\(525\) 1.51094e7 7.62095e6i 2.39249 1.20673i
\(526\) −8.93965e6 1.07710e6i −1.40882 0.169742i
\(527\) 50506.4i 0.00792173i
\(528\) −7.56051e6 + 1.45355e7i −1.18023 + 2.26906i
\(529\) −6.03463e6 −0.937586
\(530\) 5.63485e6 3.12507e6i 0.871350 0.483248i
\(531\) −2.68264e6 2.68264e6i −0.412883 0.412883i
\(532\) −3.06813e6 5.05421e6i −0.469997 0.774237i
\(533\) 681015. + 681015.i 0.103834 + 0.103834i
\(534\) 1.17011e7 + 1.49069e7i 1.77571 + 2.26222i
\(535\) 3.12528e6 2.26090e6i 0.472068 0.341504i
\(536\) 2.71463e6 1.23081e6i 0.408130 0.185045i
\(537\) −8.99796e6 −1.34651
\(538\) 2.55420e6 + 3.25401e6i 0.380452 + 0.484689i
\(539\) −1.11219e7 + 1.11219e7i −1.64894 + 1.64894i
\(540\) −8.79858e6 + 3.58033e6i −1.29846 + 0.528370i
\(541\) −2.61698e6 2.61698e6i −0.384422 0.384422i 0.488271 0.872692i \(-0.337628\pi\)
−0.872692 + 0.488271i \(0.837628\pi\)
\(542\) −130365. 15707.1i −0.0190618 0.00229666i
\(543\) 1.17208e7i 1.70592i
\(544\) 36991.0 54123.5i 0.00535919 0.00784131i
\(545\) 2.14144e6 1.54916e6i 0.308826 0.223412i
\(546\) 1.68426e6 1.39789e7i 0.241783 2.00675i
\(547\) 1.91210e6 1.91210e6i 0.273238 0.273238i −0.557164 0.830402i \(-0.688111\pi\)
0.830402 + 0.557164i \(0.188111\pi\)
\(548\) 7.55368e6 + 1.84703e6i 1.07450 + 0.262737i
\(549\) −1.23556e7 + 1.23556e7i −1.74958 + 1.74958i
\(550\) −1.01369e7 + 3.66861e6i −1.42890 + 0.517124i
\(551\) 7.35071e6i 1.03146i
\(552\) −2.74162e6 + 1.24304e6i −0.382965 + 0.173636i
\(553\) −947916. −0.131813
\(554\) 1.83897e6 + 2.34282e6i 0.254567 + 0.324313i
\(555\) 537035. 3.34639e6i 0.0740066 0.461152i
\(556\) 6.05701e6 3.67688e6i 0.830943 0.504420i
\(557\) 4.99710e6 4.99710e6i 0.682465 0.682465i −0.278090 0.960555i \(-0.589701\pi\)
0.960555 + 0.278090i \(0.0897014\pi\)
\(558\) −1.34501e6 + 1.11633e7i −0.182869 + 1.51777i
\(559\) −2.28673e6 −0.309517
\(560\) −7.04390e6 + 9.48534e6i −0.949168 + 1.27815i
\(561\) −181079. −0.0242919
\(562\) −384636. + 3.19240e6i −0.0513700 + 0.426360i
\(563\) 944316. 944316.i 0.125559 0.125559i −0.641535 0.767094i \(-0.721702\pi\)
0.767094 + 0.641535i \(0.221702\pi\)
\(564\) −3.58366e6 5.90344e6i −0.474383 0.781462i
\(565\) −1.12902e7 1.81188e6i −1.48793 0.238786i
\(566\) 1.28498e6 + 1.63704e6i 0.168599 + 0.214792i
\(567\) 6.41772e6 0.838345
\(568\) −4.71351e6 + 1.25331e7i −0.613018 + 1.63000i
\(569\) 5.38187e6i 0.696871i 0.937333 + 0.348436i \(0.113287\pi\)
−0.937333 + 0.348436i \(0.886713\pi\)
\(570\) −2.04573e6 + 7.14025e6i −0.263731 + 0.920505i
\(571\) 9.80482e6 9.80482e6i 1.25849 1.25849i 0.306675 0.951814i \(-0.400784\pi\)
0.951814 0.306675i \(-0.0992164\pi\)
\(572\) −2.13047e6 + 8.71286e6i −0.272261 + 1.11345i
\(573\) −1.24909e7 + 1.24909e7i −1.58930 + 1.58930i
\(574\) −292643. + 2.42887e6i −0.0370731 + 0.307698i
\(575\) −1.88120e6 619760.i −0.237282 0.0781724i
\(576\) 9.61733e6 1.09776e7i 1.20781 1.37865i
\(577\) 1.09597e7i 1.37044i −0.728338 0.685218i \(-0.759707\pi\)
0.728338 0.685218i \(-0.240293\pi\)
\(578\) −7.97353e6 960693.i −0.992730 0.119609i
\(579\) 3.16302e6 + 3.16302e6i 0.392108 + 0.392108i
\(580\) −1.36052e7 + 5.53625e6i −1.67933 + 0.683354i
\(581\) 5.15110e6 5.15110e6i 0.633082 0.633082i
\(582\) −1.61439e7 2.05670e7i −1.97560 2.51688i
\(583\) 1.24258e7 1.51410
\(584\) 7.42370e6 + 2.79194e6i 0.900717 + 0.338746i
\(585\) −9.27215e6 + 6.70767e6i −1.12019 + 0.810368i
\(586\) −7.73347e6 9.85229e6i −0.930316 1.18520i
\(587\) −9.23412e6 9.23412e6i −1.10612 1.10612i −0.993656 0.112459i \(-0.964127\pi\)
−0.112459 0.993656i \(1.46413\pi\)
\(588\) 1.85109e7 1.12370e7i 2.20793 1.34031i
\(589\) 2.82498e6 + 2.82498e6i 0.335527 + 0.335527i
\(590\) 1.30641e6 + 2.35560e6i 0.154508 + 0.278594i
\(591\) −7.82445e6 −0.921478
\(592\) 712296. + 2.25647e6i 0.0835327 + 0.264621i
\(593\) 8.84290e6i 1.03266i −0.856389 0.516331i \(-0.827297\pi\)
0.856389 0.516331i \(-0.172703\pi\)
\(594\) −1.81871e7 2.19128e6i −2.11494 0.254819i
\(595\) −128927. 20690.5i −0.0149298 0.00239596i
\(596\) −1.73228e6 + 1.05157e6i −0.199757 + 0.121262i
\(597\) 4.60826e6 + 4.60826e6i 0.529178 + 0.529178i
\(598\) −1.29631e6 + 1.01753e6i −0.148237 + 0.116357i
\(599\) 6.31283e6i 0.718881i −0.933168 0.359441i \(-0.882967\pi\)
0.933168 0.359441i \(-0.117033\pi\)
\(600\) 1.47564e7 1.59135e6i 1.67342 0.180463i
\(601\) 2.42258e6i 0.273584i 0.990600 + 0.136792i \(0.0436793\pi\)
−0.990600 + 0.136792i \(0.956321\pi\)
\(602\) −3.58654e6 4.56918e6i −0.403352 0.513863i
\(603\) 5.18571e6 + 5.18571e6i 0.580784 + 0.580784i
\(604\) −845909. + 3.45947e6i −0.0943477 + 0.385849i
\(605\) −1.16375e7 1.86761e6i −1.29262 0.207442i
\(606\) −996857. + 8.27369e6i −0.110268 + 0.915203i
\(607\) 2.98236e6i 0.328540i 0.986415 + 0.164270i \(0.0525269\pi\)
−0.986415 + 0.164270i \(0.947473\pi\)
\(608\) −958273. 5.09632e6i −0.105131 0.559111i
\(609\) 4.44651e7 4.85821
\(610\) 1.08494e7 6.01704e6i 1.18054 0.654724i
\(611\) −2.67336e6 2.67336e6i −0.289704 0.289704i
\(612\) 156684. + 38312.3i 0.0169101 + 0.00413485i
\(613\) −6.32855e6 6.32855e6i −0.680225 0.680225i 0.279825 0.960051i \(-0.409723\pi\)
−0.960051 + 0.279825i \(0.909723\pi\)
\(614\) −2.31459e6 + 1.81682e6i −0.247773 + 0.194487i
\(615\) 2.49003e6 1.80134e6i 0.265471 0.192047i
\(616\) −2.07509e7 + 9.40842e6i −2.20336 + 0.998999i
\(617\) 1.23802e7 1.30922 0.654612 0.755965i \(-0.272832\pi\)
0.654612 + 0.755965i \(0.272832\pi\)
\(618\) −2.21529e7 + 1.73887e7i −2.33324 + 1.83146i
\(619\) 2.69809e6 2.69809e6i 0.283028 0.283028i −0.551287 0.834316i \(-0.685863\pi\)
0.834316 + 0.551287i \(0.185863\pi\)
\(620\) 3.10102e6 7.35634e6i 0.323985 0.768569i
\(621\) −2.37988e6 2.37988e6i −0.247643 0.247643i
\(622\) 824553. 6.84360e6i 0.0854560 0.709266i
\(623\) 2.63532e7i 2.72028i
\(624\) 5.69842e6 1.09556e7i 0.585858 1.12635i
\(625\) 7.85333e6 + 5.80454e6i 0.804180 + 0.594385i
\(626\) 1.03698e7 + 1.24941e6i 1.05764 + 0.127430i
\(627\) −1.01283e7 + 1.01283e7i −1.02889 + 1.02889i
\(628\) 2.77188e6 1.68265e6i 0.280462 0.170253i
\(629\) −18492.0 + 18492.0i −0.00186362 + 0.00186362i
\(630\) −2.79454e7 8.00655e6i −2.80517 0.803700i
\(631\) 1.65763e7i 1.65735i 0.559729 + 0.828676i \(0.310905\pi\)
−0.559729 + 0.828676i \(0.689095\pi\)
\(632\) −778160. 292654.i −0.0774955 0.0291449i
\(633\) 9.49566e6 0.941924
\(634\) −1.23087e6 + 966163.i −0.121616 + 0.0954612i
\(635\) −9.81701e6 1.57545e6i −0.966151 0.155050i
\(636\) −1.66178e7 4.06339e6i −1.62904 0.398332i
\(637\) 8.38264e6 8.38264e6i 0.818525 0.818525i
\(638\) −2.81227e7 3.38837e6i −2.73530 0.329563i
\(639\) −3.29459e7 −3.19190
\(640\) −8.71091e6 + 5.61198e6i −0.840646 + 0.541584i
\(641\) 9.75119e6 0.937373 0.468687 0.883365i \(-0.344727\pi\)
0.468687 + 0.883365i \(0.344727\pi\)
\(642\) −1.01678e7 1.22506e6i −0.973616 0.117306i
\(643\) 5.16371e6 5.16371e6i 0.492532 0.492532i −0.416571 0.909103i \(-0.636768\pi\)
0.909103 + 0.416571i \(0.136768\pi\)
\(644\) −4.06630e6 994292.i −0.386354 0.0944712i
\(645\) −1.15625e6 + 7.20483e6i −0.109434 + 0.681906i
\(646\) 45082.3 35386.9i 0.00425035 0.00333627i
\(647\) 1.15819e7 1.08772 0.543861 0.839175i \(-0.316962\pi\)
0.543861 + 0.839175i \(0.316962\pi\)
\(648\) 5.26841e6 + 1.98137e6i 0.492881 + 0.185365i
\(649\) 5.19451e6i 0.484098i
\(650\) 7.64030e6 2.76506e6i 0.709295 0.256697i
\(651\) −1.70886e7 + 1.70886e7i −1.58035 + 1.58035i
\(652\) 7.04521e6 4.27676e6i 0.649045 0.394000i
\(653\) 9.92125e6 9.92125e6i 0.910507 0.910507i −0.0858047 0.996312i \(-0.527346\pi\)
0.996312 + 0.0858047i \(0.0273461\pi\)
\(654\) −6.96694e6 839413.i −0.636939 0.0767417i
\(655\) 1.00512e7 7.27125e6i 0.915407 0.662225i
\(656\) −990112. + 1.90355e6i −0.0898307 + 0.172705i
\(657\) 1.95148e7i 1.76380i
\(658\) 1.14879e6 9.53467e6i 0.103437 0.858501i
\(659\) −2.32456e6 2.32456e6i −0.208510 0.208510i 0.595124 0.803634i \(-0.297103\pi\)
−0.803634 + 0.595124i \(0.797103\pi\)
\(660\) 2.63745e7 + 1.11180e7i 2.35681 + 0.993498i
\(661\) 6.64432e6 6.64432e6i 0.591490 0.591490i −0.346544 0.938034i \(-0.612645\pi\)
0.938034 + 0.346544i \(0.112645\pi\)
\(662\) 1.60953e7 1.26339e7i 1.42743 1.12045i
\(663\) 136481. 0.0120584
\(664\) 5.81895e6 2.63830e6i 0.512182 0.232223i
\(665\) −8.36860e6 + 6.05403e6i −0.733835 + 0.530872i
\(666\) −4.57966e6 + 3.59477e6i −0.400081 + 0.314040i
\(667\) −3.68000e6 3.68000e6i −0.320283 0.320283i
\(668\) −4.80670e6 1.17533e6i −0.416779 0.101911i
\(669\) 1.97354e7 + 1.97354e7i 1.70483 + 1.70483i
\(670\) −2.52537e6 4.55352e6i −0.217339 0.391887i
\(671\) 2.39248e7 2.05136
\(672\) 3.08281e7 5.79668e6i 2.63344 0.495172i
\(673\) 2.97354e6i 0.253067i 0.991962 + 0.126534i \(0.0403851\pi\)
−0.991962 + 0.126534i \(0.959615\pi\)
\(674\) −1.56555e6 + 1.29937e7i −0.132745 + 1.10175i
\(675\) 7.47311e6 + 1.48164e7i 0.631309 + 1.25165i
\(676\) −1.21634e6 + 4.97440e6i −0.102374 + 0.418672i
\(677\) 1.01471e7 + 1.01471e7i 0.850885 + 0.850885i 0.990242 0.139357i \(-0.0445036\pi\)
−0.139357 + 0.990242i \(0.544504\pi\)
\(678\) 1.87452e7 + 2.38811e7i 1.56609 + 1.99517i
\(679\) 3.63593e7i 3.02650i
\(680\) −99450.8 56789.5i −0.00824776 0.00470973i
\(681\) 8.63969e6i 0.713889i
\(682\) 1.21101e7 9.50575e6i 0.996985 0.782574i
\(683\) 9.41097e6 + 9.41097e6i 0.771939 + 0.771939i 0.978445 0.206507i \(-0.0662095\pi\)
−0.206507 + 0.978445i \(0.566210\pi\)
\(684\) 1.09068e7 6.62089e6i 0.891364 0.541098i
\(685\) 2.15253e6 1.34129e7i 0.175276 1.09218i
\(686\) 1.04150e7 + 1.25485e6i 0.844985 + 0.101808i
\(687\) 9.71228e6i 0.785108i
\(688\) −1.53359e6 4.85821e6i −0.123520 0.391296i
\(689\) −9.36543e6 −0.751588
\(690\) 2.55048e6 + 4.59880e6i 0.203938 + 0.367724i
\(691\) −1.05835e7 1.05835e7i −0.843209 0.843209i 0.146066 0.989275i \(-0.453339\pi\)
−0.989275 + 0.146066i \(0.953339\pi\)
\(692\) −9.44330e6 + 5.73251e6i −0.749650 + 0.455071i
\(693\) −3.96401e7 3.96401e7i −3.13546 3.13546i
\(694\) −6.53090e6 8.32024e6i −0.514724 0.655748i
\(695\) −7.25521e6 1.00290e7i −0.569754 0.787583i
\(696\) 3.65022e7 + 1.37279e7i 2.85625 + 1.07419i
\(697\) −23713.9 −0.00184893
\(698\) 256418. + 326672.i 0.0199209 + 0.0253789i
\(699\) 1.33491e7 1.33491e7i 1.03337 1.03337i
\(700\) 1.75081e7 + 1.09296e7i 1.35050 + 0.843058i
\(701\) 1.15757e6 + 1.15757e6i 0.0889714 + 0.0889714i 0.750192 0.661220i \(-0.229961\pi\)
−0.661220 + 0.750192i \(0.729961\pi\)
\(702\) 1.37078e7 + 1.65158e6i 1.04984 + 0.126490i
\(703\) 2.06863e6i 0.157868i
\(704\) −1.99395e7 + 1.31702e6i −1.51629 + 0.100152i
\(705\) −9.77474e6 + 7.07126e6i −0.740683 + 0.535826i
\(706\) −814348. + 6.75890e6i −0.0614891 + 0.510346i
\(707\) −8.19446e6 + 8.19446e6i −0.616555 + 0.616555i
\(708\) 1.69867e6 6.94695e6i 0.127358 0.520848i
\(709\) 458574. 458574.i 0.0342605 0.0342605i −0.689769 0.724030i \(-0.742288\pi\)
0.724030 + 0.689769i \(0.242288\pi\)
\(710\) 2.24869e7 + 6.44264e6i 1.67411 + 0.479643i
\(711\) 2.04556e6i 0.151753i
\(712\) −8.13615e6 + 2.16338e7i −0.601477 + 1.59931i
\(713\) 2.82855e6 0.208373
\(714\) 214059. + 272707.i 0.0157140 + 0.0200194i
\(715\) 1.54712e7 + 2.48285e6i 1.13177 + 0.181629i
\(716\) −5.69475e6 9.38109e6i −0.415137 0.683866i
\(717\) −2.73579e7 + 2.73579e7i −1.98740 + 1.98740i
\(718\) 3.10179e6 2.57441e7i 0.224544 1.86366i
\(719\) 9.42662e6 0.680039 0.340019 0.940418i \(-0.389566\pi\)
0.340019 + 0.940418i \(0.389566\pi\)
\(720\) −2.04689e7 1.52004e7i −1.47151 1.09276i
\(721\) −3.91630e7 −2.80568
\(722\) −1.13322e6 + 9.40546e6i −0.0809042 + 0.671486i
\(723\) 2.75901e7 2.75901e7i 1.96294 1.96294i
\(724\) 1.22199e7 7.41801e6i 0.866403 0.525946i
\(725\) 1.15557e7 + 2.29105e7i 0.816488 + 1.61879i
\(726\) 1.93218e7 + 2.46156e7i 1.36052 + 1.73328i
\(727\) −9.00346e6 −0.631791 −0.315895 0.948794i \(-0.602305\pi\)
−0.315895 + 0.948794i \(0.602305\pi\)
\(728\) 1.56401e7 7.09120e6i 1.09373 0.495897i
\(729\) 2.00067e7i 1.39430i
\(730\) 3.81616e6 1.33196e7i 0.265045 0.925090i
\(731\) 39813.5 39813.5i 0.00275573 0.00275573i
\(732\) −3.19961e7 7.82368e6i −2.20708 0.539676i
\(733\) −1.95184e6 + 1.95184e6i −0.134179 + 0.134179i −0.771006 0.636827i \(-0.780246\pi\)
0.636827 + 0.771006i \(0.280246\pi\)
\(734\) −1.27142e6 + 1.05525e7i −0.0871062 + 0.722962i
\(735\) −2.21728e7 3.06498e7i −1.51391 2.09271i
\(736\) −3.03112e6 2.07164e6i −0.206257 0.140968i
\(737\) 1.00413e7i 0.680960i
\(738\) −5.24139e6 631510.i −0.354247 0.0426815i
\(739\) −7.21495e6 7.21495e6i −0.485984 0.485984i 0.421052 0.907036i \(-0.361661\pi\)
−0.907036 + 0.421052i \(0.861661\pi\)
\(740\) 3.82876e6 1.55800e6i 0.257027 0.104590i
\(741\) 7.63381e6 7.63381e6i 0.510735 0.510735i
\(742\) −1.46889e7 1.87134e7i −0.979443 1.24779i
\(743\) −2.58570e7 −1.71833 −0.859163 0.511703i \(-0.829015\pi\)
−0.859163 + 0.511703i \(0.829015\pi\)
\(744\) −1.93041e7 + 8.75247e6i −1.27855 + 0.579693i
\(745\) 2.07496e6 + 2.86825e6i 0.136968 + 0.189333i
\(746\) −3.82763e6 4.87632e6i −0.251816 0.320808i
\(747\) 1.11159e7 + 1.11159e7i 0.728855 + 0.728855i
\(748\) −114604. 188790.i −0.00748937 0.0123374i
\(749\) −1.00704e7 1.00704e7i −0.655907 0.655907i
\(750\) −4.84872e6 2.54705e7i −0.314756 1.65343i
\(751\) 79211.9 0.00512496 0.00256248 0.999997i \(-0.499184\pi\)
0.00256248 + 0.999997i \(0.499184\pi\)
\(752\) 3.88674e6 7.47250e6i 0.250634 0.481860i
\(753\) 1.99365e7i 1.28133i
\(754\) 2.11963e7 + 2.55384e6i 1.35779 + 0.163593i
\(755\) 6.14289e6 + 985823.i 0.392198 + 0.0629407i
\(756\) 1.81994e7 + 2.99803e7i 1.15812 + 1.90779i
\(757\) 1.53181e7 + 1.53181e7i 0.971549 + 0.971549i 0.999606 0.0280571i \(-0.00893201\pi\)
−0.0280571 + 0.999606i \(0.508932\pi\)
\(758\) 416370. 326826.i 0.0263212 0.0206606i
\(759\) 1.01411e7i 0.638973i
\(760\) −8.73901e6 + 2.38618e6i −0.548818 + 0.149854i
\(761\) 2.03506e7i