Properties

Label 43.7.h.a.18.16
Level $43$
Weight $7$
Character 43.18
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 18.16
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.16

$q$-expansion

\(f(q)\) \(=\) \(q+(3.87752 - 8.05175i) q^{2} +(-6.20528 + 9.10147i) q^{3} +(-9.89222 - 12.4045i) q^{4} +(38.7075 + 41.7168i) q^{5} +(49.2217 + 85.2545i) q^{6} +(32.6490 + 18.8499i) q^{7} +(419.378 - 95.7204i) q^{8} +(222.002 + 565.653i) q^{9} +O(q^{10})\) \(q+(3.87752 - 8.05175i) q^{2} +(-6.20528 + 9.10147i) q^{3} +(-9.89222 - 12.4045i) q^{4} +(38.7075 + 41.7168i) q^{5} +(49.2217 + 85.2545i) q^{6} +(32.6490 + 18.8499i) q^{7} +(419.378 - 95.7204i) q^{8} +(222.002 + 565.653i) q^{9} +(485.983 - 149.906i) q^{10} +(602.384 - 755.366i) q^{11} +(174.283 - 13.0607i) q^{12} +(2612.47 + 805.840i) q^{13} +(278.372 - 189.791i) q^{14} +(-619.875 + 93.4312i) q^{15} +(1081.38 - 4737.85i) q^{16} +(-385.470 - 357.664i) q^{17} +(5415.31 + 405.822i) q^{18} +(-2968.05 - 1164.87i) q^{19} +(134.571 - 892.818i) q^{20} +(-374.158 + 180.185i) q^{21} +(-3746.26 - 7779.20i) q^{22} +(-449.415 - 67.7384i) q^{23} +(-1731.16 + 4410.93i) q^{24} +(925.639 - 12351.8i) q^{25} +(16618.3 - 17910.3i) q^{26} +(-14354.8 - 3276.40i) q^{27} +(-89.1482 - 591.460i) q^{28} +(26790.5 + 39294.4i) q^{29} +(-1651.29 + 5353.36i) q^{30} +(2714.53 + 36222.9i) q^{31} +(-12430.7 - 9913.16i) q^{32} +(3136.98 + 10169.8i) q^{33} +(-4374.49 + 1716.86i) q^{34} +(477.404 + 2091.64i) q^{35} +(4820.52 - 8349.38i) q^{36} +(-15899.6 + 9179.61i) q^{37} +(-20887.9 + 19381.2i) q^{38} +(-23545.4 + 18776.8i) q^{39} +(20226.3 + 13790.0i) q^{40} +(-34816.3 - 16766.7i) q^{41} +3711.29i q^{42} +(-65566.1 - 44971.7i) q^{43} -15328.8 q^{44} +(-15004.1 + 31156.3i) q^{45} +(-2288.03 + 3355.92i) q^{46} +(-24968.6 - 31309.6i) q^{47} +(36411.1 + 39241.8i) q^{48} +(-58113.9 - 100656. i) q^{49} +(-95864.4 - 55347.4i) q^{50} +(5647.21 - 1288.94i) q^{51} +(-15847.1 - 40377.8i) q^{52} +(-63459.7 + 19574.7i) q^{53} +(-82042.0 + 102877. i) q^{54} +(54828.3 - 4108.81i) q^{55} +(15496.6 + 4780.07i) q^{56} +(29019.6 - 19785.2i) q^{57} +(420270. - 63345.5i) q^{58} +(-1920.26 + 8413.23i) q^{59} +(7290.91 + 6764.97i) q^{60} +(-142062. - 10646.1i) q^{61} +(302184. + 118598. i) q^{62} +(-3414.34 + 22652.7i) q^{63} +(152201. - 73296.1i) q^{64} +(67505.2 + 140176. i) q^{65} +(94048.7 + 14175.6i) q^{66} +(85943.9 - 218981. i) q^{67} +(-623.470 + 8319.63i) q^{68} +(3405.26 - 3670.00i) q^{69} +(18692.5 + 4266.45i) q^{70} +(-41635.7 - 276235. i) q^{71} +(147247. + 215972. i) q^{72} +(68766.7 - 222936. i) q^{73} +(12261.1 + 163613. i) q^{74} +(106676. + 85071.0i) q^{75} +(14911.0 + 48340.2i) q^{76} +(33905.8 - 13307.0i) q^{77} +(59888.7 + 262389. i) q^{78} +(258570. - 447857. i) q^{79} +(239506. - 138279. i) q^{80} +(-205833. + 190985. i) q^{81} +(-270002. + 215319. i) q^{82} +(-719112. - 490283. i) q^{83} +(5936.34 + 2858.79i) q^{84} -29924.9i q^{85} +(-616335. + 353543. i) q^{86} -523879. q^{87} +(180323. - 374445. i) q^{88} +(-181248. + 265842. i) q^{89} +(192684. + 241618. i) q^{90} +(70104.4 + 75554.6i) q^{91} +(3605.45 + 6244.83i) q^{92} +(-346526. - 200067. i) q^{93} +(-348913. + 79637.2i) q^{94} +(-66291.1 - 168907. i) q^{95} +(167360. - 51623.8i) q^{96} +(361912. - 453823. i) q^{97} +(-1.03580e6 + 77622.2i) q^{98} +(561006. + 173047. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.87752 8.05175i 0.484690 1.00647i −0.504983 0.863129i \(-0.668501\pi\)
0.989673 0.143340i \(-0.0457843\pi\)
\(3\) −6.20528 + 9.10147i −0.229825 + 0.337091i −0.923778 0.382929i \(-0.874915\pi\)
0.693953 + 0.720021i \(0.255868\pi\)
\(4\) −9.89222 12.4045i −0.154566 0.193820i
\(5\) 38.7075 + 41.7168i 0.309660 + 0.333735i 0.868637 0.495449i \(-0.164996\pi\)
−0.558977 + 0.829183i \(0.688806\pi\)
\(6\) 49.2217 + 85.2545i 0.227878 + 0.394697i
\(7\) 32.6490 + 18.8499i 0.0951865 + 0.0549559i 0.546838 0.837239i \(-0.315831\pi\)
−0.451651 + 0.892195i \(0.649165\pi\)
\(8\) 419.378 95.7204i 0.819099 0.186954i
\(9\) 222.002 + 565.653i 0.304530 + 0.775930i
\(10\) 485.983 149.906i 0.485983 0.149906i
\(11\) 602.384 755.366i 0.452580 0.567518i −0.502230 0.864734i \(-0.667487\pi\)
0.954810 + 0.297216i \(0.0960583\pi\)
\(12\) 174.283 13.0607i 0.100858 0.00755827i
\(13\) 2612.47 + 805.840i 1.18911 + 0.366791i 0.825306 0.564686i \(-0.191003\pi\)
0.363801 + 0.931477i \(0.381479\pi\)
\(14\) 278.372 189.791i 0.101447 0.0691657i
\(15\) −619.875 + 93.4312i −0.183667 + 0.0276833i
\(16\) 1081.38 4737.85i 0.264009 1.15670i
\(17\) −385.470 357.664i −0.0784592 0.0727995i 0.639968 0.768401i \(-0.278947\pi\)
−0.718428 + 0.695602i \(0.755138\pi\)
\(18\) 5415.31 + 405.822i 0.928552 + 0.0695853i
\(19\) −2968.05 1164.87i −0.432723 0.169831i 0.138974 0.990296i \(-0.455620\pi\)
−0.571697 + 0.820465i \(0.693715\pi\)
\(20\) 134.571 892.818i 0.0168213 0.111602i
\(21\) −374.158 + 180.185i −0.0404014 + 0.0194563i
\(22\) −3746.26 7779.20i −0.351828 0.730578i
\(23\) −449.415 67.7384i −0.0369372 0.00556738i 0.130548 0.991442i \(-0.458326\pi\)
−0.167485 + 0.985875i \(0.553565\pi\)
\(24\) −1731.16 + 4410.93i −0.125229 + 0.319078i
\(25\) 925.639 12351.8i 0.0592409 0.790515i
\(26\) 16618.3 17910.3i 0.945512 1.01902i
\(27\) −14354.8 3276.40i −0.729302 0.166458i
\(28\) −89.1482 591.460i −0.00406105 0.0269433i
\(29\) 26790.5 + 39294.4i 1.09847 + 1.61115i 0.732854 + 0.680386i \(0.238188\pi\)
0.365612 + 0.930767i \(0.380860\pi\)
\(30\) −1651.29 + 5353.36i −0.0611590 + 0.198273i
\(31\) 2714.53 + 36222.9i 0.0911193 + 1.21590i 0.836009 + 0.548715i \(0.184883\pi\)
−0.744890 + 0.667187i \(0.767498\pi\)
\(32\) −12430.7 9913.16i −0.379355 0.302526i
\(33\) 3136.98 + 10169.8i 0.0872911 + 0.282991i
\(34\) −4374.49 + 1716.86i −0.111299 + 0.0436816i
\(35\) 477.404 + 2091.64i 0.0111348 + 0.0487847i
\(36\) 4820.52 8349.38i 0.103320 0.178956i
\(37\) −15899.6 + 9179.61i −0.313892 + 0.181225i −0.648667 0.761073i \(-0.724673\pi\)
0.334775 + 0.942298i \(0.391340\pi\)
\(38\) −20887.9 + 19381.2i −0.380666 + 0.353207i
\(39\) −23545.4 + 18776.8i −0.396929 + 0.316540i
\(40\) 20226.3 + 13790.0i 0.316035 + 0.215469i
\(41\) −34816.3 16766.7i −0.505163 0.243274i 0.163903 0.986476i \(-0.447592\pi\)
−0.669066 + 0.743203i \(0.733306\pi\)
\(42\) 3711.29i 0.0500931i
\(43\) −65566.1 44971.7i −0.824658 0.565632i
\(44\) −15328.8 −0.179950
\(45\) −15004.1 + 31156.3i −0.164654 + 0.341907i
\(46\) −2288.03 + 3355.92i −0.0235065 + 0.0344777i
\(47\) −24968.6 31309.6i −0.240492 0.301567i 0.646908 0.762568i \(-0.276062\pi\)
−0.887400 + 0.461001i \(0.847490\pi\)
\(48\) 36411.1 + 39241.8i 0.329238 + 0.354834i
\(49\) −58113.9 100656.i −0.493960 0.855563i
\(50\) −95864.4 55347.4i −0.766916 0.442779i
\(51\) 5647.21 1288.94i 0.0425720 0.00971677i
\(52\) −15847.1 40377.8i −0.112704 0.287166i
\(53\) −63459.7 + 19574.7i −0.426256 + 0.131483i −0.500458 0.865761i \(-0.666835\pi\)
0.0742023 + 0.997243i \(0.476359\pi\)
\(54\) −82042.0 + 102877.i −0.521021 + 0.653339i
\(55\) 54828.3 4108.81i 0.329546 0.0246961i
\(56\) 15496.6 + 4780.07i 0.0882414 + 0.0272189i
\(57\) 29019.6 19785.2i 0.156699 0.106836i
\(58\) 420270. 63345.5i 2.15399 0.324662i
\(59\) −1920.26 + 8413.23i −0.00934986 + 0.0409644i −0.979388 0.201990i \(-0.935259\pi\)
0.970038 + 0.242954i \(0.0781164\pi\)
\(60\) 7290.91 + 6764.97i 0.0337542 + 0.0313193i
\(61\) −142062. 10646.1i −0.625876 0.0469029i −0.241983 0.970281i \(-0.577798\pi\)
−0.383893 + 0.923378i \(0.625417\pi\)
\(62\) 302184. + 118598.i 1.26793 + 0.497627i
\(63\) −3414.34 + 22652.7i −0.0136548 + 0.0905938i
\(64\) 152201. 73296.1i 0.580600 0.279602i
\(65\) 67505.2 + 140176.i 0.245809 + 0.510427i
\(66\) 94048.7 + 14175.6i 0.327131 + 0.0493070i
\(67\) 85943.9 218981.i 0.285753 0.728087i −0.713861 0.700288i \(-0.753055\pi\)
0.999614 0.0277987i \(-0.00884975\pi\)
\(68\) −623.470 + 8319.63i −0.00198285 + 0.0264592i
\(69\) 3405.26 3670.00i 0.0103658 0.0111717i
\(70\) 18692.5 + 4266.45i 0.0544972 + 0.0124386i
\(71\) −41635.7 276235.i −0.116330 0.771798i −0.968587 0.248675i \(-0.920005\pi\)
0.852257 0.523123i \(-0.175233\pi\)
\(72\) 147247. + 215972.i 0.394503 + 0.578630i
\(73\) 68766.7 222936.i 0.176770 0.573075i −0.823215 0.567729i \(-0.807822\pi\)
0.999986 0.00534610i \(-0.00170173\pi\)
\(74\) 12261.1 + 163613.i 0.0302577 + 0.403760i
\(75\) 106676. + 85071.0i 0.252861 + 0.201650i
\(76\) 14911.0 + 48340.2i 0.0339676 + 0.110120i
\(77\) 33905.8 13307.0i 0.0742680 0.0291480i
\(78\) 59888.7 + 262389.i 0.126200 + 0.552920i
\(79\) 258570. 447857.i 0.524442 0.908360i −0.475153 0.879903i \(-0.657607\pi\)
0.999595 0.0284572i \(-0.00905942\pi\)
\(80\) 239506. 138279.i 0.467784 0.270075i
\(81\) −205833. + 190985.i −0.387312 + 0.359373i
\(82\) −270002. + 215319.i −0.489695 + 0.390519i
\(83\) −719112. 490283.i −1.25766 0.857457i −0.263423 0.964680i \(-0.584851\pi\)
−0.994235 + 0.107224i \(0.965804\pi\)
\(84\) 5936.34 + 2858.79i 0.0100157 + 0.00482330i
\(85\) 29924.9i 0.0487276i
\(86\) −616335. + 353543.i −0.968994 + 0.555837i
\(87\) −523879. −0.795561
\(88\) 180323. 374445.i 0.264608 0.549465i
\(89\) −181248. + 265842.i −0.257101 + 0.377098i −0.932988 0.359907i \(-0.882808\pi\)
0.675887 + 0.737005i \(0.263761\pi\)
\(90\) 192684. + 241618.i 0.264313 + 0.331438i
\(91\) 70104.4 + 75554.6i 0.0930296 + 0.100262i
\(92\) 3605.45 + 6244.83i 0.00463016 + 0.00801968i
\(93\) −346526. 200067.i −0.430812 0.248729i
\(94\) −348913. + 79637.2i −0.420082 + 0.0958810i
\(95\) −66291.1 168907.i −0.0773186 0.197005i
\(96\) 167360. 51623.8i 0.189164 0.0583494i
\(97\) 361912. 453823.i 0.396541 0.497246i −0.542977 0.839748i \(-0.682703\pi\)
0.939517 + 0.342502i \(0.111274\pi\)
\(98\) −1.03580e6 + 77622.2i −1.10052 + 0.0824722i
\(99\) 561006. + 173047.i 0.578178 + 0.178344i
\(100\) −162374. + 110705.i −0.162374 + 0.110705i
\(101\) −1.33245e6 + 200835.i −1.29327 + 0.194929i −0.759391 0.650634i \(-0.774503\pi\)
−0.533876 + 0.845563i \(0.679265\pi\)
\(102\) 11519.0 50467.8i 0.0108546 0.0475570i
\(103\) 554763. + 514745.i 0.507686 + 0.471064i 0.891934 0.452166i \(-0.149349\pi\)
−0.384247 + 0.923230i \(0.625539\pi\)
\(104\) 1.17275e6 + 87885.3i 1.04257 + 0.0781297i
\(105\) −21999.5 8634.15i −0.0190040 0.00745850i
\(106\) −88455.4 + 586863.i −0.0742689 + 0.492742i
\(107\) −1.51663e6 + 730372.i −1.23802 + 0.596201i −0.934276 0.356551i \(-0.883953\pi\)
−0.303749 + 0.952752i \(0.598238\pi\)
\(108\) 101359. + 210475.i 0.0804623 + 0.167082i
\(109\) −230931. 34807.3i −0.178321 0.0268776i 0.0592745 0.998242i \(-0.481121\pi\)
−0.237596 + 0.971364i \(0.576359\pi\)
\(110\) 179515. 457396.i 0.134872 0.343648i
\(111\) 15113.2 201671.i 0.0110506 0.147460i
\(112\) 124614. 134302.i 0.0886977 0.0955934i
\(113\) 1.16473e6 + 265842.i 0.807215 + 0.184242i 0.606164 0.795339i \(-0.292707\pi\)
0.201050 + 0.979581i \(0.435564\pi\)
\(114\) −46781.7 310376.i −0.0315763 0.209495i
\(115\) −14569.9 21370.1i −0.00957995 0.0140512i
\(116\) 222408. 721030.i 0.142488 0.461934i
\(117\) 124149. + 1.65665e6i 0.0775147 + 1.03436i
\(118\) 60295.4 + 48083.9i 0.0366976 + 0.0292654i
\(119\) −5843.27 18943.4i −0.00346749 0.0112413i
\(120\) −251019. + 98517.7i −0.145266 + 0.0570126i
\(121\) 186498. + 817103.i 0.105274 + 0.461233i
\(122\) −636567. + 1.10257e6i −0.350562 + 0.607191i
\(123\) 368646. 212838.i 0.198105 0.114376i
\(124\) 422473. 391998.i 0.221582 0.205598i
\(125\) 1.24631e6 993896.i 0.638109 0.508875i
\(126\) 169155. + 115328.i 0.0845615 + 0.0576530i
\(127\) 1.57941e6 + 760604.i 0.771053 + 0.371319i 0.777681 0.628659i \(-0.216396\pi\)
−0.00662876 + 0.999978i \(0.502110\pi\)
\(128\) 2.52726e6i 1.20509i
\(129\) 816164. 317686.i 0.380197 0.147989i
\(130\) 1.39041e6 0.632870
\(131\) 791670. 1.64392e6i 0.352152 0.731251i −0.647370 0.762176i \(-0.724131\pi\)
0.999522 + 0.0309248i \(0.00984525\pi\)
\(132\) 95119.6 139515.i 0.0413569 0.0606594i
\(133\) −74946.0 93979.3i −0.0318562 0.0399464i
\(134\) −1.42994e6 1.54110e6i −0.594295 0.640498i
\(135\) −418960. 725660.i −0.170283 0.294939i
\(136\) −195893. 113099.i −0.0778759 0.0449617i
\(137\) −1.30943e6 + 298869.i −0.509239 + 0.116230i −0.469417 0.882976i \(-0.655536\pi\)
−0.0398214 + 0.999207i \(0.512679\pi\)
\(138\) −16346.0 41648.8i −0.00621975 0.0158477i
\(139\) −801975. + 247377.i −0.298618 + 0.0921116i −0.440444 0.897780i \(-0.645179\pi\)
0.141826 + 0.989892i \(0.454703\pi\)
\(140\) 21223.1 26612.9i 0.00773437 0.00969859i
\(141\) 439900. 32966.0i 0.156927 0.0117600i
\(142\) −2.38562e6 735866.i −0.833175 0.257000i
\(143\) 2.18241e6 1.48794e6i 0.746327 0.508837i
\(144\) 2.92005e6 440126.i 0.977918 0.147397i
\(145\) −602244. + 2.63860e6i −0.197546 + 0.865506i
\(146\) −1.52838e6 1.41813e6i −0.491104 0.455678i
\(147\) 1.27673e6 + 95677.8i 0.401927 + 0.0301203i
\(148\) 271150. + 106419.i 0.0836420 + 0.0328271i
\(149\) −94563.9 + 627391.i −0.0285869 + 0.189662i −0.998567 0.0535245i \(-0.982954\pi\)
0.969980 + 0.243186i \(0.0781926\pi\)
\(150\) 1.09861e6 529062.i 0.325513 0.156759i
\(151\) 719324. + 1.49369e6i 0.208927 + 0.433840i 0.978929 0.204200i \(-0.0654594\pi\)
−0.770003 + 0.638041i \(0.779745\pi\)
\(152\) −1.35624e6 204420.i −0.386193 0.0582093i
\(153\) 116738. 297444.i 0.0325941 0.0830484i
\(154\) 24325.4 324599.i 0.00666035 0.0888762i
\(155\) −1.40603e6 + 1.51534e6i −0.377573 + 0.406926i
\(156\) 465833. + 106323.i 0.122703 + 0.0280062i
\(157\) 261569. + 1.73540e6i 0.0675907 + 0.448435i 0.996870 + 0.0790575i \(0.0251911\pi\)
−0.929279 + 0.369378i \(0.879571\pi\)
\(158\) −2.60342e6 3.81852e6i −0.660045 0.968108i
\(159\) 215626. 699043.i 0.0536427 0.173905i
\(160\) −67616.8 902284.i −0.0165080 0.220284i
\(161\) −13396.1 10683.0i −0.00320996 0.00255986i
\(162\) 739645. + 2.39787e6i 0.173971 + 0.564002i
\(163\) 5.61695e6 2.20449e6i 1.29699 0.509032i 0.386398 0.922332i \(-0.373719\pi\)
0.910595 + 0.413300i \(0.135624\pi\)
\(164\) 136430. + 597737.i 0.0309298 + 0.135512i
\(165\) −302828. + 524514.i −0.0674132 + 0.116763i
\(166\) −6.73601e6 + 3.88904e6i −1.47258 + 0.850193i
\(167\) −2.81400e6 + 2.61101e6i −0.604192 + 0.560609i −0.921826 0.387605i \(-0.873302\pi\)
0.317633 + 0.948214i \(0.397112\pi\)
\(168\) −139666. + 111380.i −0.0294553 + 0.0234898i
\(169\) 2.18751e6 + 1.49142e6i 0.453201 + 0.308987i
\(170\) −240948. 116034.i −0.0490429 0.0236178i
\(171\) 1.93749e6i 0.387481i
\(172\) 90744.9 + 1.25818e6i 0.0178335 + 0.247262i
\(173\) 2.12852e6 0.411092 0.205546 0.978647i \(-0.434103\pi\)
0.205546 + 0.978647i \(0.434103\pi\)
\(174\) −2.03135e6 + 4.21815e6i −0.385600 + 0.800708i
\(175\) 263051. 385825.i 0.0490824 0.0719907i
\(176\) −2.92740e6 3.67084e6i −0.536963 0.673330i
\(177\) −64656.9 69683.6i −0.0116599 0.0125664i
\(178\) 1.43770e6 + 2.49017e6i 0.254923 + 0.441539i
\(179\) −1.97678e6 1.14129e6i −0.344666 0.198993i 0.317667 0.948202i \(-0.397100\pi\)
−0.662333 + 0.749209i \(0.730434\pi\)
\(180\) 534900. 122087.i 0.0917181 0.0209341i
\(181\) 4.01040e6 + 1.02183e7i 0.676319 + 1.72323i 0.690500 + 0.723333i \(0.257391\pi\)
−0.0141807 + 0.999899i \(0.504514\pi\)
\(182\) 880178. 271499.i 0.146001 0.0450354i
\(183\) 978428. 1.22691e6i 0.159652 0.200198i
\(184\) −194959. + 14610.1i −0.0312960 + 0.00234531i
\(185\) −998377. 307958.i −0.157681 0.0486381i
\(186\) −2.95455e6 + 2.01438e6i −0.459149 + 0.313042i
\(187\) −502368. + 75719.8i −0.0768240 + 0.0115794i
\(188\) −141384. + 619443.i −0.0212778 + 0.0932240i
\(189\) −406911. 377558.i −0.0602718 0.0559241i
\(190\) −1.61704e6 121180.i −0.235755 0.0176674i
\(191\) −6.23156e6 2.44571e6i −0.894328 0.350998i −0.126736 0.991936i \(-0.540450\pi\)
−0.767592 + 0.640938i \(0.778545\pi\)
\(192\) −277346. + 1.84007e6i −0.0391849 + 0.259975i
\(193\) −1.69161e6 + 814635.i −0.235303 + 0.113316i −0.547820 0.836596i \(-0.684542\pi\)
0.312517 + 0.949912i \(0.398828\pi\)
\(194\) −2.25075e6 4.67373e6i −0.308264 0.640116i
\(195\) −1.69469e6 255434.i −0.228553 0.0344489i
\(196\) −673709. + 1.71658e6i −0.0894756 + 0.227980i
\(197\) 805243. 1.07452e7i 0.105324 1.40545i −0.654862 0.755749i \(-0.727273\pi\)
0.760186 0.649706i \(-0.225108\pi\)
\(198\) 3.56864e6 3.84608e6i 0.459735 0.495477i
\(199\) −1.15152e7 2.62826e6i −1.46121 0.333511i −0.583265 0.812282i \(-0.698225\pi\)
−0.877940 + 0.478771i \(0.841082\pi\)
\(200\) −794126. 5.26868e6i −0.0992657 0.658585i
\(201\) 1.45975e6 + 2.14106e6i 0.179759 + 0.263657i
\(202\) −3.54954e6 + 1.15073e7i −0.430644 + 1.39611i
\(203\) 133986. + 1.78792e6i 0.0160166 + 0.213727i
\(204\) −71852.1 57300.1i −0.00846347 0.00674940i
\(205\) −648203. 2.10142e6i −0.0752401 0.243923i
\(206\) 6.29570e6 2.47088e6i 0.720182 0.282651i
\(207\) −61454.7 269251.i −0.00692858 0.0303561i
\(208\) 6.64302e6 1.15061e7i 0.738203 1.27861i
\(209\) −2.66781e6 + 1.54026e6i −0.292224 + 0.168716i
\(210\) −154823. + 143655.i −0.0167178 + 0.0155118i
\(211\) 1.07933e7 8.60740e6i 1.14897 0.916273i 0.151578 0.988445i \(-0.451565\pi\)
0.997392 + 0.0721724i \(0.0229932\pi\)
\(212\) 870571. + 593545.i 0.0913685 + 0.0622940i
\(213\) 2.77250e6 + 1.33517e6i 0.286902 + 0.138165i
\(214\) 1.50436e7i 1.53501i
\(215\) −661826. 4.47595e6i −0.0665930 0.450371i
\(216\) −6.33373e6 −0.628490
\(217\) −594172. + 1.23381e6i −0.0581477 + 0.120745i
\(218\) −1.17570e6 + 1.72444e6i −0.113482 + 0.166448i
\(219\) 1.60233e6 + 2.00926e6i 0.152553 + 0.191295i
\(220\) −593341. 639470.i −0.0557232 0.0600554i
\(221\) −718808. 1.24501e6i −0.0665942 0.115344i
\(222\) −1.56521e6 903672.i −0.143058 0.0825946i
\(223\) 1.01632e7 2.31968e6i 0.916463 0.209177i 0.261822 0.965116i \(-0.415677\pi\)
0.654642 + 0.755939i \(0.272820\pi\)
\(224\) −218988. 557972.i −0.0194839 0.0496442i
\(225\) 7.19232e6 2.21854e6i 0.631425 0.194769i
\(226\) 6.65675e6 8.34729e6i 0.576682 0.723137i
\(227\) −8.28049e6 + 620537.i −0.707911 + 0.0530506i −0.423820 0.905747i \(-0.639311\pi\)
−0.284091 + 0.958797i \(0.591692\pi\)
\(228\) −532493. 164252.i −0.0449272 0.0138582i
\(229\) 6.83830e6 4.66227e6i 0.569432 0.388232i −0.244102 0.969750i \(-0.578493\pi\)
0.813534 + 0.581518i \(0.197541\pi\)
\(230\) −228562. + 34450.2i −0.0187854 + 0.00283145i
\(231\) −89281.2 + 391166.i −0.00724309 + 0.0317341i
\(232\) 1.49966e7 + 1.39148e7i 1.20096 + 1.11433i
\(233\) 1.24480e7 + 932849.i 0.984083 + 0.0737469i 0.557041 0.830485i \(-0.311937\pi\)
0.427042 + 0.904232i \(0.359556\pi\)
\(234\) 1.38203e7 + 5.42407e6i 1.07862 + 0.423329i
\(235\) 339665. 2.25353e6i 0.0261726 0.173644i
\(236\) 123357. 59405.7i 0.00938487 0.00451952i
\(237\) 2.47166e6 + 5.13245e6i 0.185671 + 0.385549i
\(238\) −175185. 26404.9i −0.0129947 0.00195864i
\(239\) 761325. 1.93982e6i 0.0557669 0.142092i −0.900275 0.435321i \(-0.856635\pi\)
0.956042 + 0.293230i \(0.0947300\pi\)
\(240\) −227660. + 3.03791e6i −0.0164685 + 0.219756i
\(241\) −1.52141e7 + 1.63969e7i −1.08691 + 1.17141i −0.102648 + 0.994718i \(0.532731\pi\)
−0.984265 + 0.176696i \(0.943459\pi\)
\(242\) 7.30226e6 + 1.66669e6i 0.515242 + 0.117601i
\(243\) −2.06079e6 1.36724e7i −0.143620 0.952854i
\(244\) 1.27325e6 + 1.86751e6i 0.0876484 + 0.128557i
\(245\) 1.94961e6 6.32048e6i 0.132571 0.429785i
\(246\) −284286. 3.79353e6i −0.0190963 0.254823i
\(247\) −6.81523e6 5.43496e6i −0.452261 0.360666i
\(248\) 4.60569e6 + 1.49313e7i 0.301953 + 0.978909i
\(249\) 8.92458e6 3.50264e6i 0.578083 0.226881i
\(250\) −3.17003e6 1.38888e7i −0.202882 0.888884i
\(251\) −5.37018e6 + 9.30142e6i −0.339600 + 0.588204i −0.984357 0.176183i \(-0.943625\pi\)
0.644758 + 0.764387i \(0.276958\pi\)
\(252\) 314770. 181732.i 0.0196694 0.0113561i
\(253\) −321888. + 298668.i −0.0198766 + 0.0184428i
\(254\) 1.22484e7 9.76777e6i 0.747443 0.596066i
\(255\) 272360. + 185692.i 0.0164257 + 0.0111988i
\(256\) −1.06080e7 5.10854e6i −0.632286 0.304493i
\(257\) 1.02587e7i 0.604356i 0.953252 + 0.302178i \(0.0977137\pi\)
−0.953252 + 0.302178i \(0.902286\pi\)
\(258\) 606765. 7.80338e6i 0.0353314 0.454385i
\(259\) −692139. −0.0398377
\(260\) 1.07103e6 2.22402e6i 0.0609370 0.126537i
\(261\) −1.62794e7 + 2.38776e7i −0.915626 + 1.34298i
\(262\) −1.01667e7 1.27487e7i −0.565297 0.708860i
\(263\) −8.10446e6 8.73453e6i −0.445510 0.480145i 0.469871 0.882735i \(-0.344300\pi\)
−0.915380 + 0.402590i \(0.868110\pi\)
\(264\) 2.28904e6 + 3.96474e6i 0.124406 + 0.215478i
\(265\) −3.27296e6 1.88965e6i −0.175875 0.101541i
\(266\) −1.04730e6 + 239040.i −0.0556451 + 0.0127006i
\(267\) −1.29486e6 3.29925e6i −0.0680282 0.173333i
\(268\) −3.56652e6 + 1.10013e6i −0.185285 + 0.0571529i
\(269\) −1.65456e7 + 2.07476e7i −0.850015 + 1.06588i 0.147036 + 0.989131i \(0.453027\pi\)
−0.997050 + 0.0767533i \(0.975545\pi\)
\(270\) −7.46736e6 + 559601.i −0.379381 + 0.0284307i
\(271\) −3.04480e7 9.39196e6i −1.52986 0.471898i −0.588269 0.808665i \(-0.700190\pi\)
−0.941588 + 0.336767i \(0.890667\pi\)
\(272\) −2.11140e6 + 1.43953e6i −0.104921 + 0.0715341i
\(273\) −1.12267e6 + 169216.i −0.0551780 + 0.00831675i
\(274\) −2.67093e6 + 1.17021e7i −0.129841 + 0.568869i
\(275\) −8.77254e6 8.13973e6i −0.421820 0.391392i
\(276\) −79209.9 5935.96i −0.00376749 0.000282334i
\(277\) 2.02923e7 + 7.96413e6i 0.954753 + 0.374713i 0.791019 0.611791i \(-0.209551\pi\)
0.163734 + 0.986504i \(0.447646\pi\)
\(278\) −1.11786e6 + 7.41652e6i −0.0520299 + 0.345196i
\(279\) −1.98870e7 + 9.57706e6i −0.915706 + 0.440981i
\(280\) 400426. + 831493.i 0.0182410 + 0.0378778i
\(281\) −1.82953e7 2.75758e6i −0.824558 0.124282i −0.276809 0.960925i \(-0.589277\pi\)
−0.547749 + 0.836643i \(0.684515\pi\)
\(282\) 1.44029e6 3.66980e6i 0.0642247 0.163642i
\(283\) 2.59225e6 3.45912e7i 0.114371 1.52618i −0.584771 0.811198i \(-0.698816\pi\)
0.699143 0.714982i \(-0.253565\pi\)
\(284\) −3.01467e6 + 3.24904e6i −0.131609 + 0.141841i
\(285\) 1.94865e6 + 444768.i 0.0841783 + 0.0192132i
\(286\) −3.51821e6 2.33418e7i −0.150392 0.997783i
\(287\) −820668. 1.20370e6i −0.0347154 0.0509181i
\(288\) 2.84776e6 9.23221e6i 0.119214 0.386481i
\(289\) −1.78314e6 2.37943e7i −0.0738740 0.985780i
\(290\) 1.89102e7 + 1.50804e7i 0.775357 + 0.618326i
\(291\) 1.88469e6 + 6.11003e6i 0.0764825 + 0.247950i
\(292\) −3.44565e6 + 1.35232e6i −0.138396 + 0.0543164i
\(293\) 1.01082e7 + 4.42869e7i 0.401856 + 1.76065i 0.619873 + 0.784702i \(0.287184\pi\)
−0.218017 + 0.975945i \(0.569959\pi\)
\(294\) 5.72093e6 9.90893e6i 0.225125 0.389928i
\(295\) −425302. + 245548.i −0.0165665 + 0.00956468i
\(296\) −5.78925e6 + 5.37164e6i −0.223227 + 0.207125i
\(297\) −1.11220e7 + 8.86951e6i −0.424536 + 0.338556i
\(298\) 4.68492e6 + 3.19413e6i 0.177033 + 0.120699i
\(299\) −1.11950e6 539120.i −0.0418802 0.0201684i
\(300\) 2.16479e6i 0.0801776i
\(301\) −1.29295e6 2.70419e6i −0.0474115 0.0991604i
\(302\) 1.48160e7 0.537912
\(303\) 6.44035e6 1.33735e7i 0.231516 0.480749i
\(304\) −8.72859e6 + 1.28025e7i −0.310687 + 0.455694i
\(305\) −5.05475e6 6.33845e6i −0.178156 0.223400i
\(306\) −1.94229e6 2.09329e6i −0.0677876 0.0730577i
\(307\) 2.49344e7 + 4.31876e7i 0.861754 + 1.49260i 0.870235 + 0.492638i \(0.163967\pi\)
−0.00848062 + 0.999964i \(0.502699\pi\)
\(308\) −500470. 288947.i −0.0171288 0.00988930i
\(309\) −8.12739e6 + 1.85502e6i −0.275471 + 0.0628744i
\(310\) 6.74925e6 + 1.71968e7i 0.226553 + 0.577248i
\(311\) 2.62461e7 8.09585e6i 0.872536 0.269142i 0.174025 0.984741i \(-0.444323\pi\)
0.698511 + 0.715599i \(0.253846\pi\)
\(312\) −8.07711e6 + 1.01284e7i −0.265945 + 0.333485i
\(313\) −4.14645e6 + 310734.i −0.135221 + 0.0101334i −0.142169 0.989842i \(-0.545408\pi\)
0.00694767 + 0.999976i \(0.497788\pi\)
\(314\) 1.49872e7 + 4.62295e6i 0.484097 + 0.149324i
\(315\) −1.07716e6 + 734395.i −0.0344626 + 0.0234962i
\(316\) −8.11326e6 + 1.22288e6i −0.257119 + 0.0387544i
\(317\) −1.12088e7 + 4.91090e7i −0.351870 + 1.54164i 0.420990 + 0.907065i \(0.361683\pi\)
−0.772860 + 0.634577i \(0.781174\pi\)
\(318\) −4.79243e6 4.44672e6i −0.149030 0.138280i
\(319\) 4.58198e7 + 3.43372e6i 1.41150 + 0.105777i
\(320\) 8.94900e6 + 3.51222e6i 0.273102 + 0.107185i
\(321\) 2.76367e6 1.83358e7i 0.0835547 0.554350i
\(322\) −137960. + 66438.2i −0.00413225 + 0.00198999i
\(323\) 727460. + 1.51059e6i 0.0215875 + 0.0448268i
\(324\) 4.40522e6 + 663980.i 0.129519 + 0.0195218i
\(325\) 1.23718e7 3.15228e7i 0.360398 0.918278i
\(326\) 4.02982e6 5.37742e7i 0.116314 1.55211i
\(327\) 1.74979e6 1.88582e6i 0.0500429 0.0539334i
\(328\) −1.62061e7 3.69894e6i −0.459259 0.104823i
\(329\) −225016. 1.49288e6i −0.00631866 0.0419216i
\(330\) 3.04904e6 + 4.47211e6i 0.0848439 + 0.124443i
\(331\) 1.76624e7 5.72600e7i 0.487041 1.57895i −0.294858 0.955541i \(-0.595272\pi\)
0.781899 0.623406i \(-0.214251\pi\)
\(332\) 1.03193e6 + 1.37702e7i 0.0281992 + 0.376292i
\(333\) −8.72221e6 6.95573e6i −0.236208 0.188369i
\(334\) 1.01119e7 + 3.27819e7i 0.271389 + 0.879822i
\(335\) 1.24619e7 4.89093e6i 0.331474 0.130094i
\(336\) 449081. + 1.96755e6i 0.0118388 + 0.0518690i
\(337\) 2.05273e7 3.55543e7i 0.536341 0.928971i −0.462756 0.886486i \(-0.653139\pi\)
0.999097 0.0424847i \(-0.0135274\pi\)
\(338\) 2.04907e7 1.18303e7i 0.530648 0.306370i
\(339\) −9.64701e6 + 8.95111e6i −0.247624 + 0.229762i
\(340\) −371202. + 296023.i −0.00944437 + 0.00753163i
\(341\) 2.89968e7 + 1.97697e7i 0.731285 + 0.498582i
\(342\) −1.56002e7 7.51265e6i −0.389988 0.187808i
\(343\) 8.81710e6i 0.218496i
\(344\) −3.18017e7 1.25841e7i −0.781223 0.309135i
\(345\) 284910. 0.00693825
\(346\) 8.25337e6 1.71383e7i 0.199252 0.413751i
\(347\) 2.11128e6 3.09668e6i 0.0505310 0.0741154i −0.800142 0.599811i \(-0.795242\pi\)
0.850673 + 0.525695i \(0.176195\pi\)
\(348\) 5.18233e6 + 6.49844e6i 0.122967 + 0.154195i
\(349\) −5.66089e6 6.10099e6i −0.133171 0.143524i 0.662946 0.748668i \(-0.269306\pi\)
−0.796116 + 0.605144i \(0.793116\pi\)
\(350\) −2.08658e6 3.61407e6i −0.0486667 0.0842931i
\(351\) −3.48613e7 2.01272e7i −0.806163 0.465438i
\(352\) −1.49761e7 + 3.41820e6i −0.343377 + 0.0783736i
\(353\) 9.77952e6 + 2.49178e7i 0.222328 + 0.566481i 0.997900 0.0647775i \(-0.0206338\pi\)
−0.775572 + 0.631259i \(0.782539\pi\)
\(354\) −811784. + 250402.i −0.0182991 + 0.00564454i
\(355\) 9.91202e6 1.24293e7i 0.221553 0.277818i
\(356\) 5.09057e6 381486.i 0.112828 0.00845528i
\(357\) 208672. + 64366.8i 0.00458627 + 0.00141468i
\(358\) −1.68544e7 + 1.14911e7i −0.367336 + 0.250446i
\(359\) −5.14195e7 + 7.75024e6i −1.11133 + 0.167507i −0.678951 0.734183i \(-0.737565\pi\)
−0.432383 + 0.901690i \(0.642327\pi\)
\(360\) −3.31009e6 + 1.45025e7i −0.0709467 + 0.310838i
\(361\) −2.70347e7 2.50845e7i −0.574645 0.533193i
\(362\) 9.78258e7 + 7.33103e6i 2.06219 + 0.154539i
\(363\) −8.59411e6 3.37294e6i −0.179672 0.0705162i
\(364\) 243725. 1.61701e6i 0.00505354 0.0335281i
\(365\) 1.19620e7 5.76058e6i 0.245994 0.118464i
\(366\) −6.08490e6 1.26354e7i −0.124111 0.257719i
\(367\) −3.13315e7 4.72247e6i −0.633846 0.0955368i −0.175743 0.984436i \(-0.556233\pi\)
−0.458103 + 0.888899i \(0.651471\pi\)
\(368\) −806923. + 2.05601e6i −0.0161916 + 0.0412554i
\(369\) 1.75480e6 2.34162e7i 0.0349260 0.466055i
\(370\) −6.35083e6 + 6.84457e6i −0.125379 + 0.135127i
\(371\) −2.44088e6 557114.i −0.0477996 0.0109099i
\(372\) 946193. + 6.27758e6i 0.0183802 + 0.121945i
\(373\) −1.06314e7 1.55933e7i −0.204862 0.300478i 0.710033 0.704168i \(-0.248680\pi\)
−0.914896 + 0.403690i \(0.867727\pi\)
\(374\) −1.33826e6 + 4.33855e6i −0.0255816 + 0.0829334i
\(375\) 1.31224e6 + 1.75106e7i 0.0248840 + 0.332053i
\(376\) −1.34683e7 1.07406e7i −0.253366 0.202052i
\(377\) 3.83243e7 + 1.24244e8i 0.715237 + 2.31874i
\(378\) −4.61781e6 + 1.81236e6i −0.0854990 + 0.0335559i
\(379\) −3.01176e6 1.31954e7i −0.0553225 0.242384i 0.939705 0.341987i \(-0.111100\pi\)
−0.995027 + 0.0996030i \(0.968243\pi\)
\(380\) −1.43943e6 + 2.49317e6i −0.0262325 + 0.0454361i
\(381\) −1.67233e7 + 9.65520e6i −0.302376 + 0.174577i
\(382\) −4.38553e7 + 4.06917e7i −0.786741 + 0.729989i
\(383\) 8.34095e7 6.65168e7i 1.48463 1.18395i 0.546607 0.837390i \(-0.315919\pi\)
0.938026 0.346565i \(-0.112652\pi\)
\(384\) 2.30018e7 + 1.56823e7i 0.406226 + 0.276960i
\(385\) 1.86754e6 + 899359.i 0.0327256 + 0.0157598i
\(386\) 1.67792e7i 0.291748i
\(387\) 1.08825e7 4.70714e7i 0.187757 0.812128i
\(388\) −9.20954e6 −0.157668
\(389\) −6.38518e6 + 1.32590e7i −0.108474 + 0.225248i −0.948139 0.317856i \(-0.897037\pi\)
0.839665 + 0.543105i \(0.182751\pi\)
\(390\) −8.62791e6 + 1.26548e7i −0.145449 + 0.213335i
\(391\) 149008. + 186850.i 0.00249276 + 0.00312582i
\(392\) −3.40066e7 3.66503e7i −0.564553 0.608443i
\(393\) 1.00496e7 + 1.74063e7i 0.165565 + 0.286767i
\(394\) −8.33955e7 4.81484e7i −1.36350 0.787215i
\(395\) 2.86918e7 6.54872e6i 0.465550 0.106259i
\(396\) −3.40303e6 8.67079e6i −0.0548000 0.139628i
\(397\) 4.59847e7 1.41844e7i 0.734923 0.226694i 0.0953712 0.995442i \(-0.469596\pi\)
0.639552 + 0.768748i \(0.279120\pi\)
\(398\) −6.58124e7 + 8.25262e7i −1.04390 + 1.30901i
\(399\) 1.32041e6 98951.0i 0.0207869 0.00155776i
\(400\) −5.75200e7 1.77426e7i −0.898750 0.277228i
\(401\) −4.68523e7 + 3.19433e7i −0.726603 + 0.495390i −0.869243 0.494385i \(-0.835393\pi\)
0.142640 + 0.989775i \(0.454441\pi\)
\(402\) 2.28995e7 3.45154e6i 0.352490 0.0531293i
\(403\) −2.20983e7 + 9.68188e7i −0.337631 + 1.47926i
\(404\) 1.56722e7 + 1.45417e7i 0.237676 + 0.220531i
\(405\) −1.59346e7 1.19413e6i −0.239870 0.0179758i
\(406\) 1.49154e7 + 5.85387e6i 0.222873 + 0.0874712i
\(407\) −2.64367e6 + 1.75396e7i −0.0392125 + 0.260158i
\(408\) 2.24494e6 1.08111e6i 0.0330540 0.0159180i
\(409\) 4.63417e7 + 9.62295e7i 0.677332 + 1.40649i 0.901861 + 0.432027i \(0.142202\pi\)
−0.224528 + 0.974468i \(0.572084\pi\)
\(410\) −1.94336e7 2.92914e6i −0.281969 0.0424999i
\(411\) 5.40524e6 1.37723e7i 0.0778555 0.198373i
\(412\) 897289. 1.19735e7i 0.0128304 0.171210i
\(413\) −221283. + 238486.i −0.00314122 + 0.00338543i
\(414\) −2.40623e6 549207.i −0.0339107 0.00773989i
\(415\) −7.38205e6 4.89767e7i −0.103284 0.685244i
\(416\) −2.44864e7 3.59150e7i −0.340130 0.498879i
\(417\) 2.72499e6 8.83420e6i 0.0375800 0.121831i
\(418\) 2.05731e6 + 2.74529e7i 0.0281690 + 0.375889i
\(419\) 5.95367e7 + 4.74790e7i 0.809362 + 0.645445i 0.938151 0.346227i \(-0.112537\pi\)
−0.128788 + 0.991672i \(0.541109\pi\)
\(420\) 110522. + 358302.i 0.00149176 + 0.00483617i
\(421\) 8.14410e7 3.19632e7i 1.09143 0.428356i 0.249740 0.968313i \(-0.419655\pi\)
0.841692 + 0.539957i \(0.181560\pi\)
\(422\) −2.74533e7 1.20281e8i −0.365306 1.60051i
\(423\) 1.21673e7 2.10744e7i 0.160758 0.278441i
\(424\) −2.47399e7 + 1.42836e7i −0.324564 + 0.187387i
\(425\) −4.77460e6 + 4.43018e6i −0.0621971 + 0.0577104i
\(426\) 2.15009e7 1.71464e7i 0.278117 0.221791i
\(427\) −4.43750e6 3.02543e6i −0.0569973 0.0388601i
\(428\) 2.40627e7 + 1.15880e7i 0.306912 + 0.147801i
\(429\) 2.90963e7i 0.368524i
\(430\) −3.86055e7 1.20267e7i −0.485561 0.151266i
\(431\) −5.87020e7 −0.733198 −0.366599 0.930379i \(-0.619478\pi\)
−0.366599 + 0.930379i \(0.619478\pi\)
\(432\) −3.10462e7 + 6.44681e7i −0.385085 + 0.799638i
\(433\) −7.36899e7 + 1.08083e8i −0.907704 + 1.33136i 0.0355787 + 0.999367i \(0.488673\pi\)
−0.943283 + 0.331990i \(0.892280\pi\)
\(434\) 7.63042e6 + 9.56825e6i 0.0933425 + 0.117048i
\(435\) −2.02781e7 2.18546e7i −0.246354 0.265506i
\(436\) 1.85266e6 + 3.20890e6i 0.0223530 + 0.0387165i
\(437\) 1.25498e6 + 724562.i 0.0150381 + 0.00868222i
\(438\) 2.23911e7 5.11062e6i 0.266473 0.0608207i
\(439\) 2.41390e6 + 6.15050e6i 0.0285315 + 0.0726971i 0.944430 0.328714i \(-0.106615\pi\)
−0.915898 + 0.401411i \(0.868520\pi\)
\(440\) 2.26005e7 6.97133e6i 0.265314 0.0818385i
\(441\) 4.40350e7 5.52182e7i 0.513431 0.643823i
\(442\) −1.28117e7 + 960106.i −0.148368 + 0.0111187i
\(443\) −1.03412e8 3.18985e7i −1.18949 0.366910i −0.364041 0.931383i \(-0.618603\pi\)
−0.825451 + 0.564473i \(0.809079\pi\)
\(444\) −2.65112e6 + 1.80751e6i −0.0302887 + 0.0206505i
\(445\) −1.81058e7 + 2.72900e6i −0.205464 + 0.0309688i
\(446\) 2.07305e7 9.08260e7i 0.233671 1.02378i
\(447\) −5.12338e6 4.75380e6i −0.0573633 0.0532254i
\(448\) 6.35082e6 + 475928.i 0.0706311 + 0.00529307i
\(449\) 6.24275e7 + 2.45010e7i 0.689663 + 0.270673i 0.684181 0.729312i \(-0.260160\pi\)
0.00548168 + 0.999985i \(0.498255\pi\)
\(450\) 1.00253e7 6.65132e7i 0.110017 0.729912i
\(451\) −3.36378e7 + 1.61991e7i −0.366689 + 0.176588i
\(452\) −8.22413e6 1.70776e7i −0.0890583 0.184931i
\(453\) −1.80584e7 2.72186e6i −0.194260 0.0292800i
\(454\) −2.71114e7 + 6.90786e7i −0.289724 + 0.738203i
\(455\) −438327. + 5.84906e6i −0.00465333 + 0.0620944i
\(456\) 1.02763e7 1.10753e7i 0.108379 0.116805i
\(457\) 1.25079e8 + 2.85485e7i 1.31050 + 0.299112i 0.820017 0.572340i \(-0.193964\pi\)
0.490480 + 0.871452i \(0.336821\pi\)
\(458\) −1.10238e7 7.31384e7i −0.114746 0.761288i
\(459\) 4.36151e6 + 6.39716e6i 0.0451023 + 0.0661530i
\(460\) −120956. + 392130.i −0.00124266 + 0.00402862i
\(461\) −1.45297e7 1.93885e8i −0.148304 1.97898i −0.197928 0.980217i \(-0.563421\pi\)
0.0496235 0.998768i \(-0.484198\pi\)
\(462\) 2.80339e6 + 2.23563e6i 0.0284287 + 0.0226711i
\(463\) 3.49011e7 + 1.13147e8i 0.351638 + 1.13998i 0.942780 + 0.333415i \(0.108201\pi\)
−0.591142 + 0.806568i \(0.701323\pi\)
\(464\) 2.15142e8 8.44369e7i 2.15363 0.845237i
\(465\) −5.06703e6 2.22001e7i −0.0503958 0.220798i
\(466\) 5.57784e7 9.66111e7i 0.551199 0.954705i
\(467\) 1.18912e7 6.86536e6i 0.116754 0.0674082i −0.440486 0.897760i \(-0.645194\pi\)
0.557240 + 0.830352i \(0.311860\pi\)
\(468\) 1.93217e7 1.79279e7i 0.188498 0.174901i
\(469\) 6.93376e6 5.52949e6i 0.0672125 0.0536002i
\(470\) −1.68278e7 1.14730e7i −0.162082 0.110505i
\(471\) −1.74178e7 8.38795e6i −0.166698 0.0802774i
\(472\) 3.71213e6i 0.0353019i
\(473\) −7.34661e7 + 2.24361e7i −0.694230 + 0.212014i
\(474\) 5.09091e7 0.478036
\(475\) −1.71356e7 + 3.55825e7i −0.159889 + 0.332013i
\(476\) −177180. + 259875.i −0.00164283 + 0.00240959i
\(477\) −2.51607e7 3.15505e7i −0.231829 0.290704i
\(478\) −1.26669e7 1.36517e7i −0.115981 0.124998i
\(479\) 3.62267e7 + 6.27465e7i 0.329626 + 0.570930i 0.982438 0.186591i \(-0.0597439\pi\)
−0.652811 + 0.757521i \(0.726411\pi\)
\(480\) 8.63169e6 + 4.98351e6i 0.0780499 + 0.0450621i
\(481\) −4.89344e7 + 1.11689e7i −0.439723 + 0.100364i
\(482\) 7.30308e7 + 1.86079e8i 0.652176 + 1.66172i
\(483\) 180357. 55632.9i 0.00160064 0.000493731i
\(484\) 8.29083e6 1.03964e7i 0.0731244 0.0916950i
\(485\) 3.29408e7 2.46857e6i 0.288741 0.0216382i
\(486\) −1.18078e8 3.64221e7i −1.02863 0.317290i
\(487\) 1.74903e7 1.19247e7i 0.151429 0.103243i −0.485235 0.874384i \(-0.661266\pi\)
0.636664 + 0.771141i \(0.280314\pi\)
\(488\) −6.05967e7 + 9.13349e6i −0.521422 + 0.0785918i
\(489\) −1.47906e7 + 6.48019e7i −0.126491 + 0.554193i
\(490\) −4.33313e7 4.02056e7i −0.368310 0.341742i
\(491\) 2.05748e8 + 1.54186e7i 1.73816 + 0.130257i 0.905726 0.423864i \(-0.139327\pi\)
0.832436 + 0.554121i \(0.186946\pi\)
\(492\) −6.28687e6 2.46741e6i −0.0527885 0.0207180i
\(493\) 3.72727e6 2.47288e7i 0.0311064 0.206377i
\(494\) −7.01872e7 + 3.38004e7i −0.582206 + 0.280376i
\(495\) 1.44962e7 + 3.01016e7i 0.119519 + 0.248184i
\(496\) 1.74554e8 + 2.63098e7i 1.43049 + 0.215612i
\(497\) 3.84763e6 9.80361e6i 0.0313419 0.0798577i
\(498\) 6.40285e6 8.54401e7i 0.0518424 0.691789i
\(499\) 9.27345e7 9.99440e7i 0.746345 0.804369i −0.239700 0.970847i \(-0.577049\pi\)
0.986045 + 0.166478i \(0.0532396\pi\)
\(500\) −2.46575e7 5.62791e6i −0.197260 0.0450233i
\(501\) −6.30239e6 4.18136e7i −0.0501178 0.332510i
\(502\) 5.40698e7 + 7.93058e7i 0.427409 + 0.626893i
\(503\) −6.67680e7 + 2.16456e8i −0.524643 + 1.70085i 0.173448 + 0.984843i \(0.444509\pi\)
−0.698091 + 0.716009i \(0.745967\pi\)
\(504\) 736423. + 9.82688e6i 0.00575222 + 0.0767580i
\(505\) −5.99543e7 4.78119e7i −0.465528 0.371246i
\(506\) 1.15668e6 + 3.74985e6i 0.00892812 + 0.0289443i
\(507\) −2.71483e7 + 1.06549e7i −0.208314 + 0.0817572i
\(508\) −6.18900e6 2.71158e7i −0.0472095 0.206838i
\(509\) 2.27276e7 3.93654e7i 0.172346 0.298512i −0.766894 0.641774i \(-0.778199\pi\)
0.939240 + 0.343262i \(0.111532\pi\)
\(510\) 2.55123e6 1.47295e6i 0.0192326 0.0111040i
\(511\) 6.44748e6 5.98239e6i 0.0483200 0.0448344i
\(512\) 4.41915e7 3.52415e7i 0.329252 0.262570i
\(513\) 3.87893e7 + 2.64461e7i 0.287316 + 0.195889i
\(514\) 8.26005e7 + 3.97783e7i 0.608266 + 0.292925i
\(515\) 4.30674e7i 0.315302i
\(516\) −1.20144e7 6.98145e6i −0.0874486 0.0508155i
\(517\) −3.86909e7 −0.279987
\(518\) −2.68378e6 + 5.57293e6i −0.0193089 + 0.0400954i
\(519\) −1.32080e7 + 1.93726e7i −0.0944792 + 0.138576i
\(520\) 4.17279e7 + 5.23251e7i 0.296768 + 0.372135i
\(521\) −1.18755e8 1.27988e8i −0.839729 0.905013i 0.156853 0.987622i \(-0.449865\pi\)
−0.996582 + 0.0826093i \(0.973675\pi\)
\(522\) 1.29132e8 + 2.23664e8i 0.907870 + 1.57248i
\(523\) −4.92240e7 2.84195e7i −0.344090 0.198661i 0.317989 0.948094i \(-0.396992\pi\)
−0.662079 + 0.749434i \(0.730326\pi\)
\(524\) −2.82233e7 + 6.44178e6i −0.196162 + 0.0447726i
\(525\) 1.87927e6 + 4.78830e6i 0.0129871 + 0.0330905i
\(526\) −1.01754e8 + 3.13868e7i −0.699185 + 0.215670i
\(527\) 1.19093e7 1.49337e7i 0.0813679 0.102032i
\(528\) 5.15754e7 3.86504e6i 0.350381 0.0262575i
\(529\) −1.41262e8 4.35735e7i −0.954239 0.294344i
\(530\) −2.79060e7 + 1.90260e7i −0.187443 + 0.127797i
\(531\) −5.18527e6 + 781553.i −0.0346328 + 0.00522005i
\(532\) −424379. + 1.85933e6i −0.00281851 + 0.0123487i
\(533\) −7.74453e7 7.18588e7i −0.511462 0.474568i
\(534\) −3.15856e7 2.36701e6i −0.207427 0.0155445i
\(535\) −8.91740e7 3.49982e7i −0.582340 0.228552i
\(536\) 1.50820e7 1.00063e8i 0.0979412 0.649797i
\(537\) 2.26539e7 1.09095e7i 0.146292 0.0704504i
\(538\) 1.02898e8 + 2.13670e8i 0.660786 + 1.37214i
\(539\) −1.11039e8 1.67365e7i −0.709104 0.106880i
\(540\) −4.85697e6 + 1.23754e7i −0.0308450 + 0.0785917i
\(541\) 1.75238e7 2.33839e8i 0.110672 1.47681i −0.614866 0.788632i \(-0.710790\pi\)
0.725538 0.688182i \(-0.241591\pi\)
\(542\) −1.93684e8 + 2.08742e8i −1.21646 + 1.31103i
\(543\) −1.17887e8 2.69070e7i −0.736322 0.168061i
\(544\) 1.24609e6 + 8.26724e6i 0.00774018 + 0.0513528i
\(545\) −7.48673e6 1.09810e7i −0.0462490 0.0678349i
\(546\) −2.99071e6 + 9.69564e6i −0.0183737 + 0.0595660i
\(547\) 1.12078e7 + 1.49558e8i 0.0684794 + 0.913794i 0.920615 + 0.390472i \(0.127688\pi\)
−0.852135 + 0.523321i \(0.824693\pi\)
\(548\) 1.66605e7 + 1.32863e7i 0.101239 + 0.0807352i
\(549\) −2.55161e7 8.27211e7i −0.154205 0.499919i
\(550\) −9.95548e7 + 3.90724e7i −0.598376 + 0.234845i
\(551\) −3.37424e7 1.47835e8i −0.201707 0.883737i
\(552\) 1.07680e6 1.86507e6i 0.00640203 0.0110886i
\(553\) 1.68841e7 9.74805e6i 0.0998396 0.0576424i
\(554\) 1.42809e8 1.32507e8i 0.839897 0.779310i
\(555\) 8.99808e6 7.17573e6i 0.0526345 0.0419746i
\(556\) 1.10019e7 + 7.50096e6i 0.0640093 + 0.0436408i
\(557\) 1.57655e7 + 7.59225e6i 0.0912308 + 0.0439344i 0.478943 0.877846i \(-0.341020\pi\)
−0.387712 + 0.921781i \(0.626734\pi\)
\(558\) 1.97260e8i 1.13537i
\(559\) −1.35049e8 1.70323e8i −0.773138 0.975074i
\(560\) 1.04261e7 0.0593690
\(561\) 2.42817e6 5.04215e6i 0.0137528 0.0285580i
\(562\) −9.31438e7 + 1.36617e8i −0.524741 + 0.769654i
\(563\) −2.02159e7 2.53500e7i −0.113284 0.142054i 0.721956 0.691938i \(-0.243243\pi\)
−0.835241 + 0.549885i \(0.814672\pi\)
\(564\) −4.76052e6 5.13062e6i −0.0265349 0.0285978i
\(565\) 3.39937e7 + 5.88788e7i 0.188475 + 0.326448i
\(566\) −2.68468e8 1.55000e8i −1.48062 0.854836i
\(567\) −1.03203e7 + 2.35554e6i −0.0566165 + 0.0129224i
\(568\) −4.39024e7 1.11862e8i −0.239576 0.610430i
\(569\) −3.21077e8 + 9.90391e7i −1.74290 + 0.537613i −0.992378 0.123234i \(-0.960673\pi\)
−0.750521 + 0.660847i \(0.770197\pi\)
\(570\) 1.11371e7 1.39655e7i 0.0601378 0.0754105i
\(571\) −3.40617e7 + 2.55257e6i −0.182961 + 0.0137110i −0.165895 0.986143i \(-0.553051\pi\)
−0.0170655 + 0.999854i \(0.505432\pi\)
\(572\) −4.00461e7 1.23526e7i −0.213979 0.0660039i
\(573\) 6.09281e7 4.15401e7i 0.323857 0.220802i
\(574\) −1.28740e7 + 1.94045e6i −0.0680737 + 0.0102605i
\(575\) −1.25269e6 + 5.48838e6i −0.00658929 + 0.0288696i
\(576\) 7.52491e7 + 6.98209e7i 0.393762 + 0.365358i
\(577\) 2.53013e8 + 1.89607e7i 1.31709 + 0.0987021i 0.714661 0.699471i \(-0.246581\pi\)
0.602428 + 0.798173i \(0.294200\pi\)
\(578\) −1.98500e8 7.79056e7i −1.02796 0.403446i
\(579\) 3.08251e6 2.04511e7i 0.0158807 0.105361i
\(580\) 3.86880e7 1.86311e7i 0.198286 0.0954895i
\(581\) −1.42365e7 2.95624e7i −0.0725897 0.150734i
\(582\) 5.65044e7 + 8.51667e6i 0.286624 + 0.0432017i
\(583\) −2.34410e7 + 5.97268e7i −0.118296 + 0.301414i
\(584\) 7.49973e6 1.00077e8i 0.0376536 0.502453i
\(585\) −6.43046e7 + 6.93039e7i −0.321199 + 0.346170i
\(586\) 3.95782e8 + 9.03346e7i 1.96681 + 0.448912i
\(587\) 3.54828e7 + 2.35413e8i 0.175430 + 1.16390i 0.887165 + 0.461453i \(0.152672\pi\)
−0.711735 + 0.702448i \(0.752090\pi\)
\(588\) −1.14429e7 1.67836e7i −0.0562864 0.0825570i
\(589\) 3.41383e7 1.10674e8i 0.167069 0.541624i
\(590\) 327976. + 4.37654e6i 0.00159693 + 0.0213096i
\(591\) 9.28006e7 + 7.40060e7i 0.449560 + 0.358513i
\(592\) 2.62981e7 + 8.52563e7i 0.126753 + 0.410924i
\(593\) 3.76333e7 1.47700e7i 0.180471 0.0708297i −0.273385 0.961905i \(-0.588143\pi\)
0.453856 + 0.891075i \(0.350048\pi\)
\(594\) 2.82893e7 + 1.23943e8i 0.134978 + 0.591377i
\(595\) 564080. 977016.i 0.00267787 0.00463821i
\(596\) 8.71789e6 5.03327e6i 0.0411787 0.0237745i
\(597\) 9.53759e7 8.84959e7i 0.448245 0.415911i
\(598\) −8.68173e6 + 6.92345e6i −0.0405978 + 0.0323757i
\(599\) 1.21314e8 + 8.27107e7i 0.564458 + 0.384841i 0.811666 0.584121i \(-0.198561\pi\)
−0.247208 + 0.968962i \(0.579513\pi\)
\(600\) 5.28805e7 + 2.54659e7i 0.244817 + 0.117898i
\(601\) 2.23109e8i 1.02776i −0.857861 0.513882i \(-0.828207\pi\)
0.857861 0.513882i \(-0.171793\pi\)
\(602\) −2.67869e7 75020.9i −0.122782 0.000343869i
\(603\) 1.42947e8 0.651964
\(604\) 1.14127e7 2.36987e7i 0.0517938 0.107551i
\(605\) −2.68680e7 + 3.94082e7i −0.121330 + 0.177959i
\(606\) −8.27078e7 1.03712e8i −0.371645 0.466028i
\(607\) 5.98967e6 + 6.45533e6i 0.0267816 + 0.0288637i 0.746301 0.665609i \(-0.231828\pi\)
−0.719519 + 0.694473i \(0.755638\pi\)
\(608\) 2.53474e7 + 4.39029e7i 0.112777 + 0.195336i
\(609\) −1.71041e7 9.87507e6i −0.0757267 0.0437208i
\(610\) −7.06355e7 + 1.61221e7i −0.311196 + 0.0710284i
\(611\) −3.99991e7 1.01916e8i −0.175358 0.446806i
\(612\) −4.84443e6 + 1.49431e6i −0.0211343 + 0.00651908i
\(613\) −2.70111e7 + 3.38708e7i −0.117263 + 0.147043i −0.836998 0.547205i \(-0.815692\pi\)
0.719735 + 0.694248i \(0.244263\pi\)
\(614\) 4.44419e8 3.33046e7i 1.91994 0.143880i
\(615\) 2.31483e7 + 7.14031e6i 0.0995163 + 0.0306967i
\(616\) 1.29456e7 8.82616e6i 0.0553835 0.0377598i
\(617\) 2.10570e8 3.17383e7i 0.896481 0.135123i 0.315391 0.948962i \(-0.397864\pi\)
0.581090 + 0.813839i \(0.302626\pi\)
\(618\) −1.65779e7 + 7.26326e7i −0.0702368 + 0.307727i
\(619\) 4.94667e7 + 4.58984e7i 0.208565 + 0.193520i 0.777538 0.628837i \(-0.216469\pi\)
−0.568973 + 0.822356i \(0.692659\pi\)
\(620\) 3.27058e7 + 2.45096e6i 0.137230 + 0.0102840i
\(621\) 6.22934e6 + 2.44484e6i 0.0260116 + 0.0102088i
\(622\) 3.65840e7 2.42719e8i 0.152027 1.00863i
\(623\) −1.09287e7 + 5.26296e6i −0.0451963 + 0.0217654i
\(624\) 6.35002e7 + 1.31860e8i 0.261349 + 0.542697i
\(625\) −1.01673e8 1.53247e7i −0.416451 0.0627699i
\(626\) −1.35760e7 + 3.45911e7i −0.0553413 + 0.141007i
\(627\) 2.53586e6 3.38387e7i 0.0102878 0.137281i
\(628\) 1.89391e7 2.04115e7i 0.0764683 0.0824132i
\(629\) 9.41201e6 + 2.14823e6i 0.0378208 + 0.00863235i
\(630\) 1.73646e6 + 1.15207e7i 0.00694453 + 0.0460739i
\(631\) 6.07150e7 + 8.90526e7i 0.241662 + 0.354453i 0.927839 0.372982i \(-0.121665\pi\)
−0.686177 + 0.727435i \(0.740712\pi\)
\(632\) 6.55698e7 2.12572e8i 0.259748 0.842083i
\(633\) 1.13643e7 + 1.51647e8i 0.0448057 + 0.597890i
\(634\) 3.51951e8 + 2.80672e8i 1.38107 + 1.10136i
\(635\) 2.94051e7 + 9.53291e7i 0.114842 + 0.372310i
\(636\) −1.08043e7 + 4.24036e6i −0.0419976 + 0.0164828i
\(637\) −7.07079e7 3.09791e8i −0.273558 1.19854i
\(638\) 2.05315e8 3.55616e8i 0.790603 1.36936i
\(639\) 1.47010e8 8.48761e7i 0.563435 0.325299i
\(640\) 1.05429e8 9.78239e7i 0.402180 0.373169i
\(641\) −2.95088e8 + 2.35325e8i −1.12041 + 0.893497i −0.995125 0.0986239i \(-0.968556\pi\)
−0.125285 + 0.992121i \(0.539985\pi\)
\(642\) −1.36919e8 9.33496e7i −0.517438 0.352783i
\(643\) 3.26641e8 + 1.57302e8i 1.22868 + 0.591699i 0.931715 0.363191i \(-0.118313\pi\)
0.296961 + 0.954890i \(0.404027\pi\)
\(644\) 271849.i 0.00101782i
\(645\) 4.48445e7 + 2.17509e7i 0.167121 + 0.0810585i
\(646\) 1.49836e7 0.0555800
\(647\) −1.16165e8 + 2.41219e8i −0.428906 + 0.890633i 0.568770 + 0.822497i \(0.307420\pi\)
−0.997676 + 0.0681364i \(0.978295\pi\)
\(648\) −6.80409e7 + 9.97976e7i −0.250060 + 0.366771i
\(649\) 5.19833e6 + 6.51850e6i 0.0190165 + 0.0238459i
\(650\) −2.05842e8 2.21845e8i −0.749537 0.807809i
\(651\) −7.54249e6 1.30640e7i −0.0273383 0.0473513i
\(652\) −8.29096e7 4.78679e7i −0.299131 0.172704i
\(653\) −1.04244e7 + 2.37929e6i −0.0374378 + 0.00854493i −0.241199 0.970476i \(-0.577541\pi\)
0.203761 + 0.979021i \(0.434683\pi\)
\(654\) −8.39935e6 2.14012e7i −0.0300270 0.0765076i
\(655\) 9.92227e7 3.06061e7i 0.353091 0.108914i
\(656\) −1.17088e8 + 1.46823e8i −0.414763 + 0.520096i
\(657\) 1.41371e8 1.05943e7i 0.498498 0.0373573i
\(658\) −1.28928e7 3.97691e6i −0.0452554 0.0139594i
\(659\) −3.77143e8 + 2.57132e8i −1.31780 + 0.898462i −0.998785 0.0492866i \(-0.984305\pi\)
−0.319017 + 0.947749i \(0.603353\pi\)
\(660\) 9.50196e6 1.43219e6i 0.0330507 0.00498160i
\(661\) 4.82541e7 2.11415e8i 0.167082 0.732034i −0.820072 0.572261i \(-0.806067\pi\)
0.987154 0.159773i \(-0.0510763\pi\)
\(662\) −3.92557e8 3.64240e8i −1.35310 1.25549i
\(663\) 1.57918e7 + 1.18343e6i 0.0541866 + 0.00406073i
\(664\) −3.48510e8 1.36780e8i −1.19045 0.467217i
\(665\) 1.01954e6 6.76421e6i 0.00346689 0.0230013i
\(666\) −8.98264e7 + 4.32581e7i −0.304075 + 0.146435i
\(667\) −9.37830e6 1.94742e7i −0.0316043 0.0656270i
\(668\) 6.02249e7 + 9.07745e6i 0.202045 + 0.0304533i
\(669\) −4.19529e7 + 1.06894e8i −0.140115 + 0.357006i
\(670\) 8.94065e6 1.19305e8i 0.0297266 0.396674i
\(671\) −9.36175e7 + 1.00896e8i −0.309877 + 0.333968i
\(672\) 6.43725e6 + 1.46926e6i 0.0212125 + 0.00484162i
\(673\) −5.72980e7 3.80148e8i −0.187973 1.24712i −0.861424 0.507886i \(-0.830427\pi\)
0.673452 0.739231i \(-0.264811\pi\)
\(674\) −2.06679e8 3.03143e8i −0.675021 0.990074i
\(675\) −5.37569e7 + 1.74275e8i −0.174792 + 0.566663i
\(676\) −3.13910e6 4.18884e7i −0.0101617 0.135598i
\(677\) 2.05169e8 + 1.63617e8i 0.661219 + 0.527304i 0.895611 0.444838i \(-0.146739\pi\)
−0.234393 + 0.972142i \(0.575310\pi\)
\(678\) 3.46657e7 + 1.12383e8i 0.111227 + 0.360590i
\(679\) 2.03706e7 7.99486e6i 0.0650720 0.0255389i
\(680\) −2.86442e6 1.25498e7i −0.00910982 0.0399127i
\(681\) 4.57349e7 7.92152e7i 0.144813 0.250823i
\(682\) 2.71616e8 1.56818e8i 0.856253 0.494358i
\(683\) 2.81645e8 2.61328e8i 0.883974 0.820208i −0.100645 0.994922i \(-0.532091\pi\)
0.984619 + 0.174714i \(0.0559002\pi\)
\(684\) −2.40335e7 + 1.91661e7i −0.0751015 + 0.0598914i
\(685\) −6.31528e7 4.30569e7i −0.196481 0.133959i
\(686\) −7.09931e7 3.41885e7i −0.219909 0.105903i
\(687\) 9.11693e7i 0.281176i
\(688\) −2.83971e8 + 2.62010e8i −0.871985 + 0.804551i
\(689\) −1.81561e8 −0.555091
\(690\) 1.10474e6 2.29402e6i 0.00336290 0.00698314i
\(691\) −2.14106e8 + 3.14036e8i −0.648926 + 0.951799i 0.350956 + 0.936392i \(0.385857\pi\)
−0.999881 + 0.0154072i \(0.995096\pi\)
\(692\) −2.10558e7 2.64031e7i −0.0635408 0.0796777i
\(693\) 1.50543e7 + 1.62247e7i 0.0452337 + 0.0487503i
\(694\) −1.67472e7 2.90070e7i −0.0501030 0.0867809i
\(695\) −4.13623e7 2.38805e7i −0.123211 0.0711360i
\(696\) −2.19704e8 + 5.01459e7i −0.651643 + 0.148733i
\(697\) 7.42382e6 + 1.89156e7i 0.0219245 + 0.0558626i
\(698\) −7.10739e7 + 2.19234e7i −0.208999 + 0.0644676i
\(699\) −8.57336e7 + 1.07507e8i −0.251026 + 0.314777i
\(700\) −7.38811e6 + 553662.i −0.0215397 + 0.00161418i
\(701\) 4.04092e8 + 1.24646e8i 1.17308 + 0.361846i 0.819234 0.573459i \(-0.194399\pi\)
0.353842 + 0.935305i \(0.384875\pi\)
\(702\) −2.97235e8 + 2.02651e8i −0.859188 + 0.585785i
\(703\) 5.78837e7 8.72456e6i 0.166606 0.0251118i
\(704\) 3.63180e7 1.59120e8i 0.104089 0.456043i
\(705\) 1.84027e7 + 1.70752e7i 0.0525187 + 0.0487303i
\(706\) 2.38552e8 + 1.78770e7i 0.677906 + 0.0508020i
\(707\) −4.72890e7 1.85596e7i −0.133814 0.0525182i
\(708\) −224786. + 1.49136e6i −0.000633388 + 0.00420226i
\(709\) −4.07637e8 + 1.96308e8i −1.14376 + 0.550806i −0.907153 0.420800i \(-0.861749\pi\)
−0.236606 + 0.971606i \(0.576035\pi\)
\(710\) −6.16435e7 1.28004e8i −0.172231 0.357642i
\(711\) 3.10735e8 + 4.68357e7i 0.864532 + 0.130307i
\(712\) −5.05650e7 + 1.28838e8i −0.140091 + 0.356946i
\(713\) 1.23373e6 1.64630e7i 0.00340371 0.0454193i
\(714\) 1.32740e6 1.43059e6i 0.00364675 0.00393026i
\(715\) 1.46548e8 + 3.34487e7i 0.400924 + 0.0915083i
\(716\) 5.39760e6 + 3.58107e7i 0.0147049 + 0.0975605i
\(717\) 1.29310e7 + 1.89663e7i 0.0350813 + 0.0514548i
\(718\) −1.36977e8 + 4.44069e8i −0.370062 + 1.19971i
\(719\) 2.80475e7 + 3.74268e8i 0.0754584 + 1.00692i 0.898509 + 0.438954i \(0.144651\pi\)
−0.823051 + 0.567968i \(0.807730\pi\)
\(720\) 1.31388e8 + 1.04779e8i 0.352014 + 0.280722i
\(721\) 8.40955e6 + 2.72631e7i 0.0224371 + 0.0727393i
\(722\) −3.06802e8 + 1.20411e8i −0.815167 + 0.319929i
\(723\) −5.48281e7 2.40218e8i −0.145074 0.635609i
\(724\) 8.70810e7 1.50829e8i 0.229460 0.397437i
\(725\) 5.10155e8 2.94538e8i 1.33872 0.772908i
\(726\) −6.04819e7 + 5.61190e7i −0.158058 + 0.146656i
\(727\) −2.07074e8 + 1.65136e8i −0.538918 + 0.429773i −0.854748 0.519043i \(-0.826288\pi\)
0.315830 + 0.948816i \(0.397717\pi\)
\(728\) 3.66324e7 + 2.49755e7i 0.0949448 + 0.0647323i
\(729\) −4.71975e7 2.27291e7i −0.121825 0.0586679i
\(730\) 1.18652e8i 0.305004i
\(731\) 9.18900e6 + 4.07858e7i 0.0235243 + 0.104414i
\(732\) −2.48980e7 −0.0634791
\(733\) −1.73542e8 + 3.60363e8i −0.440648 + 0.915015i 0.555841 + 0.831289i \(0.312396\pi\)
−0.996489 + 0.0837264i \(0.973318\pi\)
\(734\) −1.59513e8 + 2.33962e8i −0.403373 + 0.591640i
\(735\) 4.54278e7 + 5.69646e7i 0.114409 + 0.143464i
\(736\) 4.91504e6 + 5.29716e6i 0.0123280 + 0.0132865i
\(737\) −1.13640e8 1.96830e8i −0.283876 0.491687i
\(738\) −1.81737e8 1.04926e8i −0.452142 0.261044i
\(739\) 8.33561e7 1.90255e7i 0.206540 0.0471414i −0.117999 0.993014i \(-0.537648\pi\)
0.324539 + 0.945872i \(0.394791\pi\)
\(740\) 6.05611e6 + 1.54307e7i 0.0149451 + 0.0380795i
\(741\) 9.17565e7 2.83031e7i 0.225519 0.0695633i
\(742\) −1.39503e7 + 1.74931e7i −0.0341485 + 0.0428208i
\(743\) 7.32764e8 5.49130e7i 1.78648 0.133878i 0.860016 0.510267i \(-0.170454\pi\)
0.926462 + 0.376389i \(0.122835\pi\)
\(744\) −1.64476e8 5.07342e7i −0.399378 0.123192i
\(745\) −2.98331e7 + 2.03399e7i −0.0721488 + 0.0491902i
\(746\) −1.66777e8 + 2.51376e7i −0.401717 + 0.0605490i
\(747\) 1.17685e8 5.15612e8i 0.282332 1.23698i
\(748\) 5.90880e6 + 5.48256e6i 0.0141187 + 0.0131002i
\(749\) −6.32840e7 4.74248e6i −0.150608 0.0112865i
\(750\) 1.46079e8 + 5.73320e7i 0.346262 + 0.135898i
\(751\) −5.47429e7 + 3.63196e8i −0.129243 + 0.857474i 0.826429 + 0.563041i \(0.190369\pi\)
−0.955672 + 0.294433i \(0.904869\pi\)
\(752\) −1.75341e8 + 8.44397e7i −0.412315 + 0.198561i
\(753\) −5.13331e7 1.06594e8i −0.120230 0.249660i
\(754\) 1.14899e9 + 1.73182e8i 2.68041 + 0.404007i
\(755\) −3.44688e7 + 8.78250e7i −0.0800912 + 0.204069i
\(756\) −658150. + 8.78240e6i −0.00152321 + 0.0203258i
\(757\) −3.09716e8 + 3.33795e8i −0.713964 + 0.769471i −0.980956 0.194228i \(-0.937780\pi\)
0.266992 + 0.963699i \(0.413970\pi\)
\(758\) −1.17924e8 2.69154e7i −0.270766 0.0618006i
\(759\) −720916. 4.78297e6i −0.00164877 0.0109389i
\(760\) −4.39689e7 6.44905e7i −0.100162 0.146911i
\(761\) −1.32526e8 + 4.29639e8i −0.300710 + 0.974877i 0.671547 + 0.740962i \(0.265630\pi\)
−0.972257 + 0.233915i \(0.924846\pi\)
\(762\) 1.28964e7 + 1.72090e8i 0.0291476 + 0.388947i
\(763\) −6.88355e6 5.48945e6i −0.0154967