Properties

Label 43.7.h.a.3.5
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 3.5
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.53656 + 9.42027i) q^{2} +(21.7428 + 1.62939i) q^{3} +(-28.2577 - 35.4340i) q^{4} +(33.0785 - 107.238i) q^{5} +(-113.987 + 197.431i) q^{6} +(-303.689 + 175.335i) q^{7} +(-190.398 + 43.4570i) q^{8} +(-250.765 - 37.7967i) q^{9} +O(q^{10})\) \(q+(-4.53656 + 9.42027i) q^{2} +(21.7428 + 1.62939i) q^{3} +(-28.2577 - 35.4340i) q^{4} +(33.0785 - 107.238i) q^{5} +(-113.987 + 197.431i) q^{6} +(-303.689 + 175.335i) q^{7} +(-190.398 + 43.4570i) q^{8} +(-250.765 - 37.7967i) q^{9} +(860.145 + 798.098i) q^{10} +(-1232.71 + 1545.78i) q^{11} +(-556.664 - 816.476i) q^{12} +(-1047.73 + 972.152i) q^{13} +(-273.998 - 3656.25i) q^{14} +(893.950 - 2277.75i) q^{15} +(1099.82 - 4818.61i) q^{16} +(-1809.82 + 558.254i) q^{17} +(1493.66 - 2190.80i) q^{18} +(-151.468 - 1004.92i) q^{19} +(-4734.58 + 1858.19i) q^{20} +(-6888.72 + 3317.43i) q^{21} +(-8969.33 - 18625.0i) q^{22} +(-59.8530 - 152.503i) q^{23} +(-4210.58 + 634.642i) q^{24} +(2504.23 + 1707.36i) q^{25} +(-4404.83 - 14280.1i) q^{26} +(-20887.1 - 4767.35i) q^{27} +(14794.4 + 5806.35i) q^{28} +(36846.2 - 2761.24i) q^{29} +(17401.5 + 18754.4i) q^{30} +(-25703.4 + 17524.3i) q^{31} +(30631.2 + 24427.6i) q^{32} +(-29321.3 + 31600.8i) q^{33} +(2951.44 - 19581.5i) q^{34} +(8756.95 + 38366.7i) q^{35} +(5746.74 + 9953.65i) q^{36} +(76977.3 + 44442.8i) q^{37} +(10153.8 + 3132.03i) q^{38} +(-24364.6 + 19430.1i) q^{39} +(-1637.83 + 21855.3i) q^{40} +(9640.56 + 4642.65i) q^{41} -79943.3i q^{42} +(-61790.1 - 50033.4i) q^{43} +89606.6 q^{44} +(-12348.1 + 25641.2i) q^{45} +(1708.14 + 128.008i) q^{46} +(-48380.9 - 60667.7i) q^{47} +(31764.5 - 102978. i) q^{48} +(2660.09 - 4607.40i) q^{49} +(-27444.4 + 15845.0i) q^{50} +(-40260.0 + 9189.09i) q^{51} +(64053.6 + 9654.53i) q^{52} +(-73846.7 - 68519.7i) q^{53} +(139665. - 175135. i) q^{54} +(124989. + 183325. i) q^{55} +(50202.1 - 46580.7i) q^{56} +(-1655.91 - 22096.6i) q^{57} +(-141143. + 359627. i) q^{58} +(38877.1 - 170332. i) q^{59} +(-105971. + 32687.6i) q^{60} +(-208106. + 305235. i) q^{61} +(-48478.3 - 321632. i) q^{62} +(82781.5 - 32489.4i) q^{63} +(-84078.8 + 40490.2i) q^{64} +(69594.0 + 144513. i) q^{65} +(-164670. - 419574. i) q^{66} +(813.274 - 122.581i) q^{67} +(70922.4 + 48354.0i) q^{68} +(-1052.88 - 3413.36i) q^{69} +(-401151. - 91560.1i) q^{70} +(-67890.5 - 26645.0i) q^{71} +(49387.5 - 3701.08i) q^{72} +(333971. + 359935. i) q^{73} +(-767875. + 523529. i) q^{74} +(51667.0 + 41203.1i) q^{75} +(-31328.4 + 33764.0i) q^{76} +(103333. - 685572. i) q^{77} +(-72505.3 - 317667. i) q^{78} +(193884. + 335817. i) q^{79} +(-480357. - 277334. i) q^{80} +(-269717. - 83196.7i) q^{81} +(-87470.0 + 69755.0i) q^{82} +(-1636.13 + 21832.6i) q^{83} +(312209. + 150352. i) q^{84} +212547. i q^{85} +(751643. - 355100. i) q^{86} +805637. q^{87} +(167531. - 347882. i) q^{88} +(856953. + 64219.7i) q^{89} +(-185529. - 232646. i) q^{90} +(147732. - 478935. i) q^{91} +(-3712.48 + 6430.21i) q^{92} +(-587416. + 339145. i) q^{93} +(790989. - 180538. i) q^{94} +(-112776. - 16998.3i) q^{95} +(626206. + 581034. i) q^{96} +(-433782. + 543946. i) q^{97} +(31335.3 + 45960.5i) q^{98} +(367547. - 341033. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.53656 + 9.42027i −0.567070 + 1.17753i 0.398446 + 0.917192i \(0.369549\pi\)
−0.965517 + 0.260342i \(0.916165\pi\)
\(3\) 21.7428 + 1.62939i 0.805288 + 0.0603480i 0.471011 0.882127i \(-0.343889\pi\)
0.334276 + 0.942475i \(0.391508\pi\)
\(4\) −28.2577 35.4340i −0.441526 0.553656i
\(5\) 33.0785 107.238i 0.264628 0.857902i −0.721572 0.692340i \(-0.756580\pi\)
0.986199 0.165562i \(-0.0529438\pi\)
\(6\) −113.987 + 197.431i −0.527716 + 0.914031i
\(7\) −303.689 + 175.335i −0.885390 + 0.511180i −0.872432 0.488736i \(-0.837458\pi\)
−0.0129582 + 0.999916i \(0.504125\pi\)
\(8\) −190.398 + 43.4570i −0.371870 + 0.0848769i
\(9\) −250.765 37.7967i −0.343985 0.0518473i
\(10\) 860.145 + 798.098i 0.860145 + 0.798098i
\(11\) −1232.71 + 1545.78i −0.926157 + 1.16136i 0.0604378 + 0.998172i \(0.480750\pi\)
−0.986594 + 0.163192i \(0.947821\pi\)
\(12\) −556.664 816.476i −0.322143 0.472498i
\(13\) −1047.73 + 972.152i −0.476891 + 0.442490i −0.881630 0.471942i \(-0.843553\pi\)
0.404738 + 0.914433i \(0.367363\pi\)
\(14\) −273.998 3656.25i −0.0998534 1.33245i
\(15\) 893.950 2277.75i 0.264874 0.674888i
\(16\) 1099.82 4818.61i 0.268510 1.17642i
\(17\) −1809.82 + 558.254i −0.368373 + 0.113628i −0.473414 0.880840i \(-0.656979\pi\)
0.105041 + 0.994468i \(0.466502\pi\)
\(18\) 1493.66 2190.80i 0.256115 0.375652i
\(19\) −151.468 1004.92i −0.0220831 0.146512i 0.975072 0.221889i \(-0.0712221\pi\)
−0.997155 + 0.0753768i \(0.975984\pi\)
\(20\) −4734.58 + 1858.19i −0.591823 + 0.232273i
\(21\) −6888.72 + 3317.43i −0.743842 + 0.358216i
\(22\) −8969.33 18625.0i −0.842349 1.74915i
\(23\) −59.8530 152.503i −0.00491929 0.0125341i 0.928393 0.371600i \(-0.121191\pi\)
−0.933312 + 0.359066i \(0.883095\pi\)
\(24\) −4210.58 + 634.642i −0.304585 + 0.0459087i
\(25\) 2504.23 + 1707.36i 0.160271 + 0.109271i
\(26\) −4404.83 14280.1i −0.250616 0.812478i
\(27\) −20887.1 4767.35i −1.06118 0.242207i
\(28\) 14794.4 + 5806.35i 0.673941 + 0.264502i
\(29\) 36846.2 2761.24i 1.51077 0.113217i 0.706599 0.707614i \(-0.250229\pi\)
0.804171 + 0.594398i \(0.202609\pi\)
\(30\) 17401.5 + 18754.4i 0.644501 + 0.694607i
\(31\) −25703.4 + 17524.3i −0.862790 + 0.588240i −0.911835 0.410556i \(-0.865334\pi\)
0.0490455 + 0.998797i \(0.484382\pi\)
\(32\) 30631.2 + 24427.6i 0.934791 + 0.745471i
\(33\) −29321.3 + 31600.8i −0.815908 + 0.879340i
\(34\) 2951.44 19581.5i 0.0750925 0.498206i
\(35\) 8756.95 + 38366.7i 0.204244 + 0.894850i
\(36\) 5746.74 + 9953.65i 0.123173 + 0.213341i
\(37\) 76977.3 + 44442.8i 1.51970 + 0.877398i 0.999731 + 0.0232120i \(0.00738926\pi\)
0.519967 + 0.854186i \(0.325944\pi\)
\(38\) 10153.8 + 3132.03i 0.185045 + 0.0570789i
\(39\) −24364.6 + 19430.1i −0.410738 + 0.327553i
\(40\) −1637.83 + 21855.3i −0.0255911 + 0.341489i
\(41\) 9640.56 + 4642.65i 0.139878 + 0.0673619i 0.502514 0.864569i \(-0.332409\pi\)
−0.362635 + 0.931931i \(0.618123\pi\)
\(42\) 79943.3i 1.07903i
\(43\) −61790.1 50033.4i −0.777166 0.629296i
\(44\) 89606.6 1.05192
\(45\) −12348.1 + 25641.2i −0.135508 + 0.281385i
\(46\) 1708.14 + 128.008i 0.0175489 + 0.00131511i
\(47\) −48380.9 60667.7i −0.465994 0.584338i 0.492191 0.870487i \(-0.336196\pi\)
−0.958185 + 0.286149i \(0.907625\pi\)
\(48\) 31764.5 102978.i 0.287222 0.931151i
\(49\) 2660.09 4607.40i 0.0226104 0.0391623i
\(50\) −27444.4 + 15845.0i −0.219555 + 0.126760i
\(51\) −40260.0 + 9189.09i −0.303503 + 0.0692727i
\(52\) 64053.6 + 9654.53i 0.455548 + 0.0686627i
\(53\) −73846.7 68519.7i −0.496025 0.460244i 0.392049 0.919944i \(-0.371766\pi\)
−0.888074 + 0.459700i \(0.847957\pi\)
\(54\) 139665. 175135.i 0.886968 1.11222i
\(55\) 124989. + 183325.i 0.751249 + 1.10188i
\(56\) 50202.1 46580.7i 0.285863 0.265242i
\(57\) −1655.91 22096.6i −0.00894156 0.119317i
\(58\) −141143. + 359627.i −0.723396 + 1.84318i
\(59\) 38877.1 170332.i 0.189294 0.829353i −0.787695 0.616065i \(-0.788726\pi\)
0.976989 0.213288i \(-0.0684171\pi\)
\(60\) −105971. + 32687.6i −0.490605 + 0.151332i
\(61\) −208106. + 305235.i −0.916841 + 1.34476i 0.0217626 + 0.999763i \(0.493072\pi\)
−0.938604 + 0.344996i \(0.887880\pi\)
\(62\) −48478.3 321632.i −0.203410 1.34954i
\(63\) 82781.5 32489.4i 0.331064 0.129933i
\(64\) −84078.8 + 40490.2i −0.320735 + 0.154458i
\(65\) 69594.0 + 144513.i 0.253415 + 0.526221i
\(66\) −164670. 419574.i −0.572775 1.45941i
\(67\) 813.274 122.581i 0.00270404 0.000407568i −0.147690 0.989034i \(-0.547184\pi\)
0.150394 + 0.988626i \(0.451946\pi\)
\(68\) 70922.4 + 48354.0i 0.225557 + 0.153782i
\(69\) −1052.88 3413.36i −0.00320503 0.0103905i
\(70\) −401151. 91560.1i −1.16954 0.266939i
\(71\) −67890.5 26645.0i −0.189685 0.0744460i 0.268597 0.963253i \(-0.413440\pi\)
−0.458282 + 0.888807i \(0.651535\pi\)
\(72\) 49387.5 3701.08i 0.132318 0.00991588i
\(73\) 333971. + 359935.i 0.858500 + 0.925243i 0.997886 0.0649950i \(-0.0207032\pi\)
−0.139385 + 0.990238i \(0.544513\pi\)
\(74\) −767875. + 523529.i −1.89494 + 1.29195i
\(75\) 51667.0 + 41203.1i 0.122470 + 0.0976666i
\(76\) −31328.4 + 33764.0i −0.0713669 + 0.0769153i
\(77\) 103333. 685572.i 0.226344 1.50169i
\(78\) −72505.3 317667.i −0.152787 0.669403i
\(79\) 193884. + 335817.i 0.393243 + 0.681116i 0.992875 0.119159i \(-0.0380199\pi\)
−0.599633 + 0.800275i \(0.704687\pi\)
\(80\) −480357. 277334.i −0.938197 0.541668i
\(81\) −269717. 83196.7i −0.507520 0.156549i
\(82\) −87470.0 + 69755.0i −0.158642 + 0.126513i
\(83\) −1636.13 + 21832.6i −0.00286143 + 0.0381831i −0.998452 0.0556248i \(-0.982285\pi\)
0.995590 + 0.0938079i \(0.0299040\pi\)
\(84\) 312209. + 150352.i 0.526754 + 0.253671i
\(85\) 212547.i 0.346097i
\(86\) 751643. 355100.i 1.18172 0.558284i
\(87\) 805637. 1.22344
\(88\) 167531. 347882.i 0.245837 0.510486i
\(89\) 856953. + 64219.7i 1.21559 + 0.0910958i 0.667040 0.745022i \(-0.267561\pi\)
0.548550 + 0.836118i \(0.315180\pi\)
\(90\) −185529. 232646.i −0.254498 0.319130i
\(91\) 147732. 478935.i 0.196042 0.635554i
\(92\) −3712.48 + 6430.21i −0.00476761 + 0.00825774i
\(93\) −587416. + 339145.i −0.730293 + 0.421635i
\(94\) 790989. 180538.i 0.952328 0.217363i
\(95\) −112776. 16998.3i −0.131537 0.0198259i
\(96\) 626206. + 581034.i 0.707788 + 0.656731i
\(97\) −433782. + 543946.i −0.475288 + 0.595992i −0.960457 0.278428i \(-0.910187\pi\)
0.485169 + 0.874420i \(0.338758\pi\)
\(98\) 31335.3 + 45960.5i 0.0332932 + 0.0488322i
\(99\) 367547. 341033.i 0.378797 0.351472i
\(100\) −10265.3 136981.i −0.0102653 0.136981i
\(101\) −92838.7 + 236549.i −0.0901083 + 0.229592i −0.968822 0.247756i \(-0.920307\pi\)
0.878714 + 0.477348i \(0.158402\pi\)
\(102\) 96078.4 420947.i 0.0905368 0.396668i
\(103\) −1.75240e6 + 540542.i −1.60369 + 0.494673i −0.962174 0.272437i \(-0.912171\pi\)
−0.641516 + 0.767109i \(0.721694\pi\)
\(104\) 157238. 230626.i 0.139784 0.205026i
\(105\) 127886. + 848467.i 0.110473 + 0.732937i
\(106\) 980484. 384812.i 0.823233 0.323095i
\(107\) 380377. 183180.i 0.310501 0.149529i −0.272143 0.962257i \(-0.587732\pi\)
0.582644 + 0.812727i \(0.302018\pi\)
\(108\) 421295. + 874829.i 0.334438 + 0.694467i
\(109\) 645939. + 1.64583e6i 0.498783 + 1.27088i 0.929644 + 0.368460i \(0.120115\pi\)
−0.430860 + 0.902419i \(0.641790\pi\)
\(110\) −2.29399e6 + 345764.i −1.72351 + 0.259778i
\(111\) 1.60128e6 + 1.09174e6i 1.17084 + 0.798268i
\(112\) 510868. + 1.65619e6i 0.363626 + 1.17885i
\(113\) −2.16285e6 493657.i −1.49897 0.342129i −0.607172 0.794570i \(-0.707696\pi\)
−0.891794 + 0.452441i \(0.850553\pi\)
\(114\) 215668. + 84643.6i 0.145570 + 0.0571320i
\(115\) −18333.9 + 1373.94i −0.0120548 + 0.000903385i
\(116\) −1.13903e6 1.22758e6i −0.729728 0.786459i
\(117\) 299478. 204181.i 0.186985 0.127484i
\(118\) 1.42820e6 + 1.13895e6i 0.869247 + 0.693202i
\(119\) 451739. 486859.i 0.268069 0.288910i
\(120\) −71221.8 + 472526.i −0.0412163 + 0.273452i
\(121\) −475626. 2.08385e6i −0.268479 1.17628i
\(122\) −1.93131e6 3.34513e6i −1.06359 1.84218i
\(123\) 202048. + 116652.i 0.108577 + 0.0626871i
\(124\) 1.34727e6 + 415578.i 0.706627 + 0.217966i
\(125\) 1.63686e6 1.30536e6i 0.838075 0.668342i
\(126\) −69485.1 + 927214.i −0.0347360 + 0.463520i
\(127\) −2.54433e6 1.22529e6i −1.24212 0.598172i −0.306730 0.951796i \(-0.599235\pi\)
−0.935388 + 0.353624i \(0.884949\pi\)
\(128\) 1.53171e6i 0.730378i
\(129\) −1.26196e6 1.18855e6i −0.587865 0.553664i
\(130\) −1.67707e6 −0.763347
\(131\) 294836. 612232.i 0.131149 0.272334i −0.825045 0.565067i \(-0.808850\pi\)
0.956194 + 0.292733i \(0.0945646\pi\)
\(132\) 1.94830e6 + 146005.i 0.847097 + 0.0634811i
\(133\) 222197. + 278627.i 0.0944461 + 0.118432i
\(134\) −2534.72 + 8217.35i −0.00105345 + 0.00341521i
\(135\) −1.20215e6 + 2.08219e6i −0.488606 + 0.846291i
\(136\) 320324. 184939.i 0.127342 0.0735212i
\(137\) −1.24277e6 + 283655.i −0.483315 + 0.110313i −0.457234 0.889346i \(-0.651160\pi\)
−0.0260806 + 0.999660i \(0.508303\pi\)
\(138\) 36931.2 + 5566.48i 0.0140526 + 0.00211809i
\(139\) 150367. + 139521.i 0.0559898 + 0.0519510i 0.707671 0.706542i \(-0.249746\pi\)
−0.651682 + 0.758493i \(0.725936\pi\)
\(140\) 1.11203e6 1.39445e6i 0.405260 0.508180i
\(141\) −953082. 1.39792e6i −0.339995 0.498682i
\(142\) 558993. 518669.i 0.195227 0.181145i
\(143\) −211175. 2.81794e6i −0.0722163 0.963660i
\(144\) −457923. + 1.16677e6i −0.153357 + 0.390748i
\(145\) 922706. 4.04264e6i 0.302663 1.32605i
\(146\) −4.90577e6 + 1.51323e6i −1.57633 + 0.486235i
\(147\) 65344.9 95843.4i 0.0205712 0.0301724i
\(148\) −600410. 3.98346e6i −0.185209 1.22878i
\(149\) 230513. 90469.8i 0.0696846 0.0273492i −0.330243 0.943896i \(-0.607131\pi\)
0.399927 + 0.916547i \(0.369035\pi\)
\(150\) −622535. + 299797.i −0.184455 + 0.0888287i
\(151\) −433607. 900395.i −0.125941 0.261518i 0.828459 0.560049i \(-0.189218\pi\)
−0.954400 + 0.298531i \(0.903503\pi\)
\(152\) 72510.1 + 184753.i 0.0206475 + 0.0526090i
\(153\) 474938. 71585.4i 0.132606 0.0199871i
\(154\) 5.98949e6 + 4.08357e6i 1.63994 + 1.11809i
\(155\) 1.02903e6 + 3.33605e6i 0.276334 + 0.895853i
\(156\) 1.37697e6 + 314285.i 0.362703 + 0.0827846i
\(157\) −4.21495e6 1.65425e6i −1.08916 0.427466i −0.248284 0.968687i \(-0.579867\pi\)
−0.840880 + 0.541222i \(0.817962\pi\)
\(158\) −4.04305e6 + 302985.i −1.02503 + 0.0768156i
\(159\) −1.49399e6 1.61013e6i −0.371668 0.400563i
\(160\) 3.63279e6 2.47680e6i 0.886913 0.604687i
\(161\) 44915.7 + 35819.1i 0.0107627 + 0.00858296i
\(162\) 2.00732e6 2.16338e6i 0.472142 0.508848i
\(163\) −629781. + 4.17832e6i −0.145421 + 0.964804i 0.790467 + 0.612505i \(0.209838\pi\)
−0.935888 + 0.352299i \(0.885400\pi\)
\(164\) −107912. 472794.i −0.0244646 0.107187i
\(165\) 2.41890e6 + 4.18966e6i 0.538476 + 0.932667i
\(166\) −198246. 114458.i −0.0433392 0.0250219i
\(167\) 3.49752e6 + 1.07884e6i 0.750950 + 0.231637i 0.646522 0.762895i \(-0.276223\pi\)
0.104428 + 0.994532i \(0.466699\pi\)
\(168\) 1.16743e6 930994.i 0.246208 0.196345i
\(169\) −208048. + 2.77621e6i −0.0431026 + 0.575164i
\(170\) −2.00225e6 964231.i −0.407541 0.196261i
\(171\) 257725.i 0.0515428i
\(172\) −26839.3 + 3.60330e6i −0.00527456 + 0.708133i
\(173\) −322464. −0.0622793 −0.0311396 0.999515i \(-0.509914\pi\)
−0.0311396 + 0.999515i \(0.509914\pi\)
\(174\) −3.65482e6 + 7.58931e6i −0.693774 + 1.44064i
\(175\) −1.05987e6 79426.1i −0.197760 0.0148200i
\(176\) 6.09273e6 + 7.64004e6i 1.11757 + 1.40139i
\(177\) 1.12283e6 3.64013e6i 0.202486 0.656444i
\(178\) −4.49259e6 + 7.78139e6i −0.796593 + 1.37974i
\(179\) −3.90800e6 + 2.25629e6i −0.681390 + 0.393401i −0.800378 0.599495i \(-0.795368\pi\)
0.118989 + 0.992896i \(0.462035\pi\)
\(180\) 1.25750e6 287016.i 0.215621 0.0492140i
\(181\) 8.27162e6 + 1.24675e6i 1.39494 + 0.210253i 0.803120 0.595818i \(-0.203172\pi\)
0.591819 + 0.806071i \(0.298410\pi\)
\(182\) 3.84150e6 + 3.56439e6i 0.637216 + 0.591250i
\(183\) −5.02214e6 + 6.29756e6i −0.819475 + 1.02759i
\(184\) 18023.2 + 26435.1i 0.00289320 + 0.00424354i
\(185\) 7.31224e6 6.78477e6i 1.15488 1.07157i
\(186\) −529986. 7.07217e6i −0.0823617 1.09904i
\(187\) 1.36805e6 3.48574e6i 0.209208 0.533052i
\(188\) −782568. + 3.42866e6i −0.117774 + 0.516001i
\(189\) 7.17907e6 2.21445e6i 1.06337 0.328005i
\(190\) 671744. 985268.i 0.0979362 0.143646i
\(191\) −1.78277e6 1.18279e7i −0.255856 1.69749i −0.635291 0.772273i \(-0.719120\pi\)
0.379435 0.925218i \(-0.376118\pi\)
\(192\) −1.89408e6 + 743371.i −0.267605 + 0.105027i
\(193\) 1.20225e7 5.78974e6i 1.67233 0.805354i 0.674593 0.738190i \(-0.264319\pi\)
0.997742 0.0671642i \(-0.0213951\pi\)
\(194\) −3.15623e6 6.55399e6i −0.432279 0.897637i
\(195\) 1.27770e6 + 3.25552e6i 0.172315 + 0.439052i
\(196\) −238427. + 35937.0i −0.0316655 + 0.00477281i
\(197\) −2.99777e6 2.04385e6i −0.392103 0.267331i 0.351181 0.936308i \(-0.385780\pi\)
−0.743284 + 0.668977i \(0.766733\pi\)
\(198\) 1.54523e6 + 5.00951e6i 0.199066 + 0.645356i
\(199\) −9.41584e6 2.14911e6i −1.19481 0.272708i −0.421557 0.906802i \(-0.638516\pi\)
−0.773256 + 0.634094i \(0.781373\pi\)
\(200\) −550997. 216250.i −0.0688746 0.0270313i
\(201\) 17882.6 1340.11i 0.00220212 0.000165026i
\(202\) −1.80719e6 1.94768e6i −0.219255 0.236300i
\(203\) −1.07056e7 + 7.29897e6i −1.27975 + 0.872517i
\(204\) 1.46326e6 + 1.16691e6i 0.172358 + 0.137451i
\(205\) 816762. 880260.i 0.0948056 0.102176i
\(206\) 2.85780e6 1.89602e7i 0.326911 2.16891i
\(207\) 9244.91 + 40504.6i 0.00104230 + 0.00456660i
\(208\) 3.53211e6 + 6.11779e6i 0.392504 + 0.679837i
\(209\) 1.74010e6 + 1.00465e6i 0.190606 + 0.110046i
\(210\) −8.57294e6 2.64440e6i −0.925704 0.285542i
\(211\) 1.19182e7 9.50446e6i 1.26871 1.01177i 0.269910 0.962885i \(-0.413006\pi\)
0.998805 0.0488810i \(-0.0155655\pi\)
\(212\) −341192. + 4.55289e6i −0.0358089 + 0.477837i
\(213\) −1.43271e6 689957.i −0.148259 0.0713976i
\(214\) 4.41426e6i 0.450419i
\(215\) −7.40939e6 + 4.97120e6i −0.745534 + 0.500203i
\(216\) 4.18403e6 0.415178
\(217\) 4.73321e6 9.82862e6i 0.463209 0.961863i
\(218\) −1.84344e7 1.38147e6i −1.77935 0.133344i
\(219\) 6.67498e6 + 8.37016e6i 0.635503 + 0.796896i
\(220\) 2.96405e6 9.60921e6i 0.278367 0.902443i
\(221\) 1.35349e6 2.34432e6i 0.125395 0.217190i
\(222\) −1.75488e7 + 1.01318e7i −1.60394 + 0.926034i
\(223\) −1.46320e7 + 3.33966e6i −1.31944 + 0.301153i −0.823555 0.567237i \(-0.808013\pi\)
−0.495883 + 0.868390i \(0.665155\pi\)
\(224\) −1.35854e7 2.04767e6i −1.20873 0.182186i
\(225\) −563441. 522797.i −0.0494654 0.0458972i
\(226\) 1.44623e7 1.81352e7i 1.25289 1.57107i
\(227\) 6.80114e6 + 9.97545e6i 0.581439 + 0.852815i 0.998425 0.0560981i \(-0.0178660\pi\)
−0.416986 + 0.908913i \(0.636914\pi\)
\(228\) −736180. + 683075.i −0.0621126 + 0.0576320i
\(229\) 162340. + 2.16627e6i 0.0135182 + 0.180387i 0.999876 + 0.0157699i \(0.00501992\pi\)
−0.986357 + 0.164617i \(0.947361\pi\)
\(230\) 70230.0 178943.i 0.00577217 0.0147073i
\(231\) 3.36382e6 1.47379e7i 0.272896 1.19564i
\(232\) −6.89542e6 + 2.12696e6i −0.552201 + 0.170331i
\(233\) −9.47634e6 + 1.38992e7i −0.749157 + 1.09881i 0.242530 + 0.970144i \(0.422023\pi\)
−0.991688 + 0.128668i \(0.958930\pi\)
\(234\) 564836. + 3.74744e6i 0.0440833 + 0.292474i
\(235\) −8.10623e6 + 3.18146e6i −0.624619 + 0.245145i
\(236\) −7.13411e6 + 3.43560e6i −0.542755 + 0.261377i
\(237\) 3.66839e6 + 7.61750e6i 0.275569 + 0.572226i
\(238\) 2.53700e6 + 6.46417e6i 0.188187 + 0.479493i
\(239\) −7.03189e6 + 1.05989e6i −0.515085 + 0.0776365i −0.401441 0.915885i \(-0.631490\pi\)
−0.113644 + 0.993522i \(0.536252\pi\)
\(240\) −9.99239e6 6.81270e6i −0.722829 0.492817i
\(241\) 1.21961e6 + 3.95388e6i 0.0871304 + 0.282470i 0.988643 0.150283i \(-0.0480185\pi\)
−0.901513 + 0.432753i \(0.857542\pi\)
\(242\) 2.17882e7 + 4.97301e6i 1.53736 + 0.350892i
\(243\) 8.80984e6 + 3.45761e6i 0.613973 + 0.240966i
\(244\) 1.66963e7 1.25121e6i 1.14934 0.0861314i
\(245\) −406096. 437667.i −0.0276141 0.0297609i
\(246\) −2.01550e6 + 1.37414e6i −0.135387 + 0.0923053i
\(247\) 1.13564e6 + 905640.i 0.0753613 + 0.0600987i
\(248\) 4.13231e6 4.45357e6i 0.270918 0.291980i
\(249\) −71147.9 + 472035.i −0.00460854 + 0.0305757i
\(250\) 4.87106e6 + 2.13415e7i 0.311748 + 1.36586i
\(251\) 4.30569e6 + 7.45768e6i 0.272284 + 0.471610i 0.969446 0.245304i \(-0.0788877\pi\)
−0.697162 + 0.716913i \(0.745554\pi\)
\(252\) −3.49044e6 2.01521e6i −0.218112 0.125927i
\(253\) 309517. + 95473.3i 0.0191127 + 0.00589549i
\(254\) 2.30850e7 1.84097e7i 1.40874 1.12343i
\(255\) −346323. + 4.62135e6i −0.0208862 + 0.278708i
\(256\) −1.98102e7 9.54009e6i −1.18078 0.568634i
\(257\) 2.98412e7i 1.75799i −0.476827 0.878997i \(-0.658213\pi\)
0.476827 0.878997i \(-0.341787\pi\)
\(258\) 1.69214e7 6.49613e6i 0.985319 0.378264i
\(259\) −3.11695e7 −1.79403
\(260\) 3.15413e6 6.54961e6i 0.179456 0.372645i
\(261\) −9.34409e6 700243.i −0.525552 0.0393847i
\(262\) 4.42985e6 + 5.55486e6i 0.246312 + 0.308865i
\(263\) −7.18735e6 + 2.33008e7i −0.395095 + 1.28087i 0.511653 + 0.859192i \(0.329033\pi\)
−0.906748 + 0.421674i \(0.861443\pi\)
\(264\) 4.20942e6 7.29094e6i 0.228776 0.396252i
\(265\) −9.79063e6 + 5.65262e6i −0.526106 + 0.303747i
\(266\) −3.63275e6 + 829152.i −0.193015 + 0.0440544i
\(267\) 1.85279e7 + 2.79263e6i 0.973401 + 0.146717i
\(268\) −27324.8 25353.7i −0.00141955 0.00131715i
\(269\) 2.13753e7 2.68038e7i 1.09813 1.37702i 0.178638 0.983915i \(-0.442831\pi\)
0.919495 0.393101i \(-0.128598\pi\)
\(270\) −1.41612e7 2.07706e7i −0.719461 1.05526i
\(271\) −1.27709e7 + 1.18496e7i −0.641672 + 0.595385i −0.932403 0.361420i \(-0.882292\pi\)
0.290731 + 0.956805i \(0.406101\pi\)
\(272\) 699545. + 9.33478e6i 0.0347623 + 0.463871i
\(273\) 3.99247e6 1.01727e7i 0.196225 0.499973i
\(274\) 2.96581e6 1.29941e7i 0.144176 0.631674i
\(275\) −5.72620e6 + 1.76630e6i −0.275339 + 0.0849310i
\(276\) −91196.9 + 133761.i −0.00433764 + 0.00636214i
\(277\) 5.56340e6 + 3.69107e7i 0.261758 + 1.73665i 0.603949 + 0.797023i \(0.293593\pi\)
−0.342190 + 0.939631i \(0.611169\pi\)
\(278\) −1.99647e6 + 783557.i −0.0929242 + 0.0364700i
\(279\) 7.10786e6 3.42296e6i 0.327285 0.157612i
\(280\) −3.33460e6 6.92437e6i −0.151904 0.315432i
\(281\) −7.81358e6 1.99087e7i −0.352153 0.897271i −0.991706 0.128524i \(-0.958976\pi\)
0.639554 0.768747i \(-0.279119\pi\)
\(282\) 1.74924e7 2.63656e6i 0.780016 0.117568i
\(283\) 2.68438e7 + 1.83018e7i 1.18436 + 0.807485i 0.985019 0.172444i \(-0.0551664\pi\)
0.199344 + 0.979930i \(0.436119\pi\)
\(284\) 974286. + 3.15856e6i 0.0425335 + 0.137890i
\(285\) −2.42437e6 553346.i −0.104728 0.0239036i
\(286\) 2.75038e7 + 1.07944e7i 1.17569 + 0.461425i
\(287\) −3.74175e6 + 280405.i −0.158281 + 0.0118615i
\(288\) −6.75795e6 7.28334e6i −0.282903 0.304897i
\(289\) −1.69796e7 + 1.15765e7i −0.703452 + 0.479605i
\(290\) 3.38968e7 + 2.70318e7i 1.38984 + 1.10836i
\(291\) −1.03179e7 + 1.11201e7i −0.418710 + 0.451262i
\(292\) 3.31670e6 2.20049e7i 0.133216 0.883833i
\(293\) 7.06676e6 + 3.09615e7i 0.280943 + 1.23089i 0.896588 + 0.442867i \(0.146038\pi\)
−0.615645 + 0.788024i \(0.711104\pi\)
\(294\) 606429. + 1.05037e6i 0.0238637 + 0.0413332i
\(295\) −1.69800e7 9.80340e6i −0.661411 0.381866i
\(296\) −1.65876e7 5.11661e6i −0.639601 0.197291i
\(297\) 3.31171e7 2.64100e7i 1.26411 1.00809i
\(298\) −193488. + 2.58192e6i −0.00731148 + 0.0975649i
\(299\) 210966. + 101596.i 0.00789220 + 0.00380068i
\(300\) 2.99507e6i 0.110929i
\(301\) 2.75376e7 + 4.36063e6i 1.00978 + 0.159901i
\(302\) 1.04490e7 0.379364
\(303\) −2.40400e6 + 4.99196e6i −0.0864185 + 0.179450i
\(304\) −5.00893e6 375367.i −0.178289 0.0133609i
\(305\) 2.58489e7 + 3.24135e7i 0.911050 + 1.14242i
\(306\) −1.48023e6 + 4.79880e6i −0.0516613 + 0.167482i
\(307\) −3.28165e6 + 5.68398e6i −0.113417 + 0.196443i −0.917146 0.398552i \(-0.869513\pi\)
0.803729 + 0.594995i \(0.202846\pi\)
\(308\) −2.72125e7 + 1.57112e7i −0.931358 + 0.537720i
\(309\) −3.89827e7 + 8.89754e6i −1.32128 + 0.301574i
\(310\) −3.60947e7 5.44040e6i −1.21160 0.182619i
\(311\) 7.25929e6 + 6.73563e6i 0.241331 + 0.223922i 0.791560 0.611091i \(-0.209269\pi\)
−0.550229 + 0.835014i \(0.685460\pi\)
\(312\) 3.79458e6 4.75825e6i 0.124940 0.156669i
\(313\) −1.34177e7 1.96801e7i −0.437567 0.641792i 0.542594 0.839995i \(-0.317442\pi\)
−0.980161 + 0.198202i \(0.936490\pi\)
\(314\) 3.47048e7 3.22014e7i 1.12099 1.04012i
\(315\) −745799. 9.95200e6i −0.0238611 0.318404i
\(316\) 6.42063e6 1.63595e7i 0.203477 0.518452i
\(317\) 521286. 2.28390e6i 0.0163643 0.0716968i −0.966086 0.258219i \(-0.916864\pi\)
0.982451 + 0.186522i \(0.0597216\pi\)
\(318\) 2.19454e7 6.76927e6i 0.682438 0.210504i
\(319\) −4.11526e7 + 6.03597e7i −1.26772 + 1.85941i
\(320\) 1.56088e6 + 1.03558e7i 0.0476343 + 0.316033i
\(321\) 8.56891e6 3.36305e6i 0.259066 0.101676i
\(322\) −541188. + 260623.i −0.0162099 + 0.00780629i
\(323\) 835133. + 1.73417e6i 0.0247827 + 0.0514617i
\(324\) 4.67359e6 + 1.19081e7i 0.137409 + 0.350112i
\(325\) −4.28357e6 + 645645.i −0.124783 + 0.0188080i
\(326\) −3.65039e7 2.48879e7i −1.05362 0.718349i
\(327\) 1.13628e7 + 3.68373e7i 0.324969 + 1.05352i
\(328\) −2.03729e6 464999.i −0.0577341 0.0131774i
\(329\) 2.53299e7 + 9.94125e6i 0.711288 + 0.279160i
\(330\) −5.04412e7 + 3.78004e6i −1.40360 + 0.105185i
\(331\) −4.06885e7 4.38517e7i −1.12199 1.20921i −0.975500 0.220000i \(-0.929394\pi\)
−0.146485 0.989213i \(-0.546796\pi\)
\(332\) 819849. 558964.i 0.0224037 0.0152746i
\(333\) −1.76234e7 1.40542e7i −0.477262 0.380604i
\(334\) −2.60297e7 + 2.80533e7i −0.698602 + 0.752914i
\(335\) 13756.5 91268.5i 0.000365910 0.00242765i
\(336\) 8.40909e6 + 3.68426e7i 0.221682 + 0.971254i
\(337\) 3.19979e6 + 5.54220e6i 0.0836050 + 0.144808i 0.904796 0.425845i \(-0.140023\pi\)
−0.821191 + 0.570654i \(0.806690\pi\)
\(338\) −2.52088e7 1.45543e7i −0.652833 0.376913i
\(339\) −4.62221e7 1.42576e7i −1.18645 0.365972i
\(340\) 7.53138e6 6.00608e6i 0.191619 0.152811i
\(341\) 4.59635e6 6.13340e7i 0.115918 1.54682i
\(342\) −2.42784e6 1.16918e6i −0.0606933 0.0292284i
\(343\) 3.93903e7i 0.976128i
\(344\) 1.39390e7 + 6.84103e6i 0.342417 + 0.168053i
\(345\) −400868. −0.00976213
\(346\) 1.46288e6 3.03770e6i 0.0353167 0.0733359i
\(347\) 2.21978e7 + 1.66350e6i 0.531278 + 0.0398138i 0.337669 0.941265i \(-0.390362\pi\)
0.193609 + 0.981079i \(0.437981\pi\)
\(348\) −2.27654e7 2.85469e7i −0.540179 0.677363i
\(349\) 2.01367e7 6.52817e7i 0.473710 1.53573i −0.331918 0.943308i \(-0.607696\pi\)
0.805628 0.592422i \(-0.201828\pi\)
\(350\) 5.55637e6 9.62391e6i 0.129595 0.224464i
\(351\) 2.65187e7 1.53106e7i 0.613240 0.354054i
\(352\) −7.55191e7 + 1.72368e7i −1.73153 + 0.395210i
\(353\) 4.29160e7 + 6.46855e6i 0.975653 + 0.147056i 0.617469 0.786595i \(-0.288158\pi\)
0.358184 + 0.933651i \(0.383396\pi\)
\(354\) 2.91972e7 + 2.70911e7i 0.658161 + 0.610684i
\(355\) −5.10307e6 + 6.39904e6i −0.114063 + 0.143031i
\(356\) −2.19399e7 3.21800e7i −0.486279 0.713240i
\(357\) 1.06153e7 9.84960e6i 0.233308 0.216478i
\(358\) −3.52592e6 4.70502e7i −0.0768465 1.02544i
\(359\) 3.08141e7 7.85131e7i 0.665988 1.69691i −0.0499552 0.998751i \(-0.515908\pi\)
0.715943 0.698158i \(-0.245997\pi\)
\(360\) 1.23677e6 5.41863e6i 0.0265082 0.116140i
\(361\) 4.39688e7 1.35626e7i 0.934595 0.288284i
\(362\) −4.92694e7 + 7.22649e7i −1.03861 + 1.52336i
\(363\) −6.94600e6 4.60837e7i −0.145216 0.963447i
\(364\) −2.11451e7 + 8.29886e6i −0.438436 + 0.172074i
\(365\) 4.96459e7 2.39082e7i 1.02095 0.491664i
\(366\) −3.65415e7 7.58792e7i −0.745320 1.54767i
\(367\) 2.79046e7 + 7.10998e7i 0.564518 + 1.43837i 0.873275 + 0.487228i \(0.161992\pi\)
−0.308756 + 0.951141i \(0.599913\pi\)
\(368\) −800679. + 120683.i −0.0160663 + 0.00242160i
\(369\) −2.24204e6 1.52859e6i −0.0446235 0.0304238i
\(370\) 3.07419e7 + 9.96627e7i 0.606911 + 1.96756i
\(371\) 3.44403e7 + 7.86077e6i 0.674443 + 0.153937i
\(372\) 2.86163e7 + 1.12311e7i 0.555884 + 0.218168i
\(373\) −3.84720e7 + 2.88308e6i −0.741342 + 0.0555559i −0.440047 0.897975i \(-0.645038\pi\)
−0.301296 + 0.953531i \(0.597419\pi\)
\(374\) 2.66303e7 + 2.87007e7i 0.509051 + 0.548627i
\(375\) 3.77169e7 2.57150e7i 0.715224 0.487632i
\(376\) 1.18480e7 + 9.44849e6i 0.222886 + 0.177746i
\(377\) −3.59205e7 + 3.87131e7i −0.670376 + 0.722493i
\(378\) −1.17076e7 + 7.76748e7i −0.216766 + 1.43815i
\(379\) −3.37174e6 1.47725e7i −0.0619350 0.271355i 0.934473 0.356033i \(-0.115871\pi\)
−0.996408 + 0.0846781i \(0.973014\pi\)
\(380\) 2.58448e6 + 4.47644e6i 0.0471001 + 0.0815797i
\(381\) −5.33244e7 3.07868e7i −0.964164 0.556660i
\(382\) 1.19510e8 + 3.68638e7i 2.14394 + 0.661318i
\(383\) −588600. + 469393.i −0.0104767 + 0.00835488i −0.628714 0.777636i \(-0.716418\pi\)
0.618237 + 0.785991i \(0.287847\pi\)
\(384\) −2.49577e6 + 3.33037e7i −0.0440768 + 0.588165i
\(385\) −7.01011e7 3.37589e7i −1.22841 0.591570i
\(386\) 1.39521e8i 2.42592i
\(387\) 1.36037e7 + 1.48821e7i 0.234706 + 0.256762i
\(388\) 3.15319e7 0.539827
\(389\) −3.50005e7 + 7.26793e7i −0.594601 + 1.23470i 0.358918 + 0.933369i \(0.383146\pi\)
−0.953519 + 0.301333i \(0.902569\pi\)
\(390\) −3.64642e7 2.73261e6i −0.614714 0.0460664i
\(391\) 193458. + 242589.i 0.00323636 + 0.00405827i
\(392\) −306250. + 992838.i −0.00508414 + 0.0164824i
\(393\) 7.40811e6 1.28312e7i 0.122048 0.211393i
\(394\) 3.28532e7 1.89678e7i 0.537141 0.310119i
\(395\) 4.24256e7 9.68337e6i 0.688394 0.157121i
\(396\) −2.24702e7 3.38684e6i −0.361844 0.0545392i
\(397\) −2.62126e7 2.43218e7i −0.418928 0.388708i 0.442350 0.896842i \(-0.354145\pi\)
−0.861278 + 0.508134i \(0.830335\pi\)
\(398\) 6.29607e7 7.89502e7i 0.998666 1.25229i
\(399\) 4.37719e6 + 6.42016e6i 0.0689092 + 0.101071i
\(400\) 1.09813e7 1.01892e7i 0.171583 0.159206i
\(401\) −1.05720e6 1.41073e7i −0.0163954 0.218782i −0.999383 0.0351117i \(-0.988821\pi\)
0.982988 0.183670i \(-0.0587977\pi\)
\(402\) −68501.1 + 174538.i −0.00105443 + 0.00268665i
\(403\) 9.89396e6 4.33483e7i 0.151166 0.662303i
\(404\) 1.10053e7 3.39468e6i 0.166900 0.0514819i
\(405\) −1.78437e7 + 2.61718e7i −0.268608 + 0.393975i
\(406\) −2.01915e7 1.33962e8i −0.301711 2.00172i
\(407\) −1.63590e8 + 6.42042e7i −2.42646 + 0.952314i
\(408\) 7.26608e6 3.49916e6i 0.106984 0.0515209i
\(409\) 2.77270e7 + 5.75758e7i 0.405260 + 0.841531i 0.999311 + 0.0371039i \(0.0118132\pi\)
−0.594052 + 0.804427i \(0.702472\pi\)
\(410\) 4.58699e6 + 1.16875e7i 0.0665544 + 0.169578i
\(411\) −2.74835e7 + 4.14247e6i −0.395864 + 0.0596670i
\(412\) 6.86722e7 + 4.68199e7i 0.981950 + 0.669482i
\(413\) 1.80585e7 + 5.85443e7i 0.256349 + 0.831064i
\(414\) −423504. 96662.1i −0.00596838 0.00136224i
\(415\) 2.28716e6 + 897643.i 0.0320001 + 0.0125591i
\(416\) −5.58406e7 + 4.18467e6i −0.775658 + 0.0581275i
\(417\) 3.04207e6 + 3.27857e6i 0.0419528 + 0.0452143i
\(418\) −1.73582e7 + 1.18346e7i −0.237670 + 0.162041i
\(419\) 9.61841e7 + 7.67043e7i 1.30756 + 1.04274i 0.995702 + 0.0926148i \(0.0295225\pi\)
0.311857 + 0.950129i \(0.399049\pi\)
\(420\) 2.64508e7 2.85072e7i 0.357019 0.384775i
\(421\) −5.71046e6 + 3.78864e7i −0.0765288 + 0.507735i 0.917423 + 0.397914i \(0.130266\pi\)
−0.993951 + 0.109821i \(0.964972\pi\)
\(422\) 3.54668e7 + 1.55390e8i 0.471938 + 2.06770i
\(423\) 9.83918e6 + 1.70420e7i 0.129998 + 0.225164i
\(424\) 1.70379e7 + 9.83683e6i 0.223521 + 0.129050i
\(425\) −5.48534e6 1.69200e6i −0.0714557 0.0220412i
\(426\) 1.29992e7 1.03665e7i 0.168146 0.134092i
\(427\) 9.68104e6 1.29185e8i 0.124348 1.65931i
\(428\) −1.72394e7 8.30204e6i −0.219882 0.105890i
\(429\) 6.16139e7i 0.780381i
\(430\) −1.32169e7 9.23506e7i −0.166236 1.16154i
\(431\) 7.44662e6 0.0930095 0.0465048 0.998918i \(-0.485192\pi\)
0.0465048 + 0.998918i \(0.485192\pi\)
\(432\) −4.59440e7 + 9.54038e7i −0.569873 + 1.18335i
\(433\) 1.06370e8 + 7.97135e6i 1.31026 + 0.0981902i 0.711469 0.702717i \(-0.248030\pi\)
0.598788 + 0.800907i \(0.295649\pi\)
\(434\) 7.11157e7 + 8.91762e7i 0.869954 + 1.09089i
\(435\) 2.66492e7 8.63947e7i 0.323755 1.04959i
\(436\) 4.00654e7 6.93954e7i 0.483404 0.837281i
\(437\) −144188. + 83247.0i −0.00172777 + 0.000997527i
\(438\) −1.09131e8 + 2.49083e7i −1.29875 + 0.296430i
\(439\) 2.17349e7 + 3.27601e6i 0.256900 + 0.0387214i 0.276229 0.961092i \(-0.410915\pi\)
−0.0193296 + 0.999813i \(0.506153\pi\)
\(440\) −3.17644e7 2.94730e7i −0.372891 0.345993i
\(441\) −841201. + 1.05483e6i −0.00980808 + 0.0122989i
\(442\) 1.59439e7 + 2.33854e7i 0.184641 + 0.270818i
\(443\) −9.86375e7 + 9.15222e7i −1.13457 + 1.05273i −0.136498 + 0.990640i \(0.543585\pi\)
−0.998071 + 0.0620859i \(0.980225\pi\)
\(444\) −6.56395e6 8.75898e7i −0.0749922 1.00070i
\(445\) 3.52335e7 8.97734e7i 0.399830 1.01875i
\(446\) 3.49185e7 1.52988e8i 0.393596 1.72446i
\(447\) 5.15941e6 1.59147e6i 0.0577666 0.0178187i
\(448\) 1.84344e7 2.70384e7i 0.205020 0.300709i
\(449\) −1.03959e6 6.89720e6i −0.0114847 0.0761962i 0.982354 0.187030i \(-0.0598861\pi\)
−0.993839 + 0.110833i \(0.964648\pi\)
\(450\) 7.48098e6 2.93607e6i 0.0820958 0.0322202i
\(451\) −1.90606e7 + 9.17908e6i −0.207781 + 0.100062i
\(452\) 4.36250e7 + 9.05882e7i 0.472411 + 0.980971i
\(453\) −7.96072e6 2.02836e7i −0.0856363 0.218198i
\(454\) −1.24825e8 + 1.88144e7i −1.33393 + 0.201058i
\(455\) −4.64732e7 3.16849e7i −0.493365 0.336370i
\(456\) 1.27554e6 + 4.13518e6i 0.0134523 + 0.0436114i
\(457\) −1.51838e8 3.46561e7i −1.59086 0.363104i −0.666768 0.745265i \(-0.732323\pi\)
−0.924096 + 0.382161i \(0.875180\pi\)
\(458\) −2.11433e7 8.29813e6i −0.220078 0.0863742i
\(459\) 4.04633e7 3.03230e6i 0.418430 0.0313570i
\(460\) 566757. + 610819.i 0.00582269 + 0.00627537i
\(461\) 1.41045e6 961626.i 0.0143964 0.00981530i −0.556100 0.831115i \(-0.687703\pi\)
0.570497 + 0.821300i \(0.306751\pi\)
\(462\) 1.23574e8 + 9.85473e7i 1.25315 + 0.999353i
\(463\) 3.19593e7 3.44440e7i 0.321999 0.347033i −0.551220 0.834360i \(-0.685838\pi\)
0.873219 + 0.487327i \(0.162028\pi\)
\(464\) 2.72187e7 1.80584e8i 0.272467 1.80770i
\(465\) 1.69383e7 + 7.42116e7i 0.168466 + 0.738096i
\(466\) −8.79445e7 1.52324e8i −0.869063 1.50526i
\(467\) −7.47754e7 4.31716e7i −0.734190 0.423885i 0.0857634 0.996316i \(-0.472667\pi\)
−0.819953 + 0.572431i \(0.806000\pi\)
\(468\) −1.56975e7 4.84203e6i −0.153141 0.0472379i
\(469\) −225489. + 179822.i −0.00218579 + 0.00174311i
\(470\) 6.80420e6 9.07957e7i 0.0655365 0.874524i
\(471\) −8.89492e7 4.28357e7i −0.851294 0.409962i
\(472\) 3.41202e7i 0.324478i
\(473\) 1.53510e8 3.38367e7i 1.45062 0.319746i
\(474\) −8.84008e7 −0.830082
\(475\) 1.33646e6 2.77518e6i 0.0124702 0.0258946i
\(476\) −3.00165e7 2.24942e6i −0.278316 0.0208569i
\(477\) 1.59283e7 + 1.99735e7i 0.146762 + 0.184034i
\(478\) 2.19162e7 7.10505e7i 0.200670 0.650555i
\(479\) −9.32162e7 + 1.61455e8i −0.848173 + 1.46908i 0.0346630 + 0.999399i \(0.488964\pi\)
−0.882836 + 0.469681i \(0.844369\pi\)
\(480\) 8.30227e7 4.79332e7i 0.750711 0.433423i
\(481\) −1.23857e8 + 2.82695e7i −1.11297 + 0.254028i
\(482\) −4.27794e7 6.44796e6i −0.382027 0.0575812i
\(483\) 918229. + 851992.i 0.00814910 + 0.00756126i
\(484\) −6.03992e7 + 7.57382e7i −0.532715 + 0.668004i
\(485\) 4.39827e7 + 6.45107e7i 0.385528 + 0.565466i
\(486\) −7.25379e7 + 6.73053e7i −0.631911 + 0.586328i
\(487\) −5.52080e6 7.36699e7i −0.0477986 0.637828i −0.968732 0.248108i \(-0.920191\pi\)
0.920934 0.389719i \(-0.127428\pi\)
\(488\) 2.63582e7 6.71596e7i 0.226807 0.577895i
\(489\) −2.05013e7 + 8.98221e7i −0.175329 + 0.768169i
\(490\) 5.96522e6 1.84003e6i 0.0507036 0.0156400i
\(491\) −1.39862e7 + 2.05139e7i −0.118156 + 0.173302i −0.880760 0.473562i \(-0.842968\pi\)
0.762605 + 0.646865i \(0.223920\pi\)
\(492\) −1.57594e6 1.04557e7i −0.0132326 0.0877924i
\(493\) −6.51433e7 + 2.55669e7i −0.543662 + 0.213372i
\(494\) −1.36833e7 + 6.58951e6i −0.113503 + 0.0546603i
\(495\) −2.44138e7 5.06957e7i −0.201289 0.417980i
\(496\) 5.61736e7 + 1.43128e8i 0.460349 + 1.17295i
\(497\) 2.52894e7 3.81176e6i 0.206001 0.0310496i
\(498\) −4.12393e6 2.81165e6i −0.0333905 0.0227653i
\(499\) 5.41302e7 + 1.75486e8i 0.435650 + 1.41234i 0.861596 + 0.507594i \(0.169465\pi\)
−0.425946 + 0.904748i \(0.640059\pi\)
\(500\) −9.25080e7 2.11143e7i −0.740064 0.168915i
\(501\) 7.42879e7 + 2.91559e7i 0.590752 + 0.231853i
\(502\) −8.97864e7 + 6.72856e6i −0.709740 + 0.0531877i
\(503\) 1.55408e7 + 1.67490e7i 0.122115 + 0.131609i 0.791150 0.611622i \(-0.209483\pi\)
−0.669035 + 0.743231i \(0.733292\pi\)
\(504\) −1.43495e7 + 9.78333e6i −0.112084 + 0.0764179i
\(505\) 2.22960e7 + 1.77805e7i 0.173122 + 0.138060i
\(506\) −2.30352e6 + 2.48261e6i −0.0177804 + 0.0191627i
\(507\) −9.04708e6 + 6.00234e7i −0.0694200 + 0.460571i
\(508\) 2.84801e7 + 1.24780e8i 0.217246 + 0.951815i
\(509\) −7.52842e7 1.30396e8i −0.570888 0.988806i −0.996475 0.0838891i \(-0.973266\pi\)
0.425587 0.904917i \(-0.360067\pi\)
\(510\) −4.19633e7 2.42275e7i −0.316343 0.182641i
\(511\) −1.64532e8 5.07516e7i −1.23307 0.380353i
\(512\) 1.03098e8 8.22176e7i 0.768137 0.612569i
\(513\) −1.62710e6 + 2.17121e7i −0.0120521 + 0.160824i
\(514\) 2.81112e8 + 1.35377e8i 2.07010 + 0.996906i
\(515\) 2.05803e8i 1.50671i
\(516\) −6.45476e6 + 7.83020e7i −0.0469819 + 0.569933i
\(517\) 1.53418e8 1.11021
\(518\) 1.41402e8 2.93625e8i 1.01734 2.11253i
\(519\) −7.01127e6 525422.i −0.0501527 0.00375843i
\(520\) −1.95306e7 2.44907e7i −0.138901 0.174177i
\(521\) −9.61668e6 + 3.11765e7i −0.0680005 + 0.220452i −0.983194 0.182562i \(-0.941561\pi\)
0.915194 + 0.403014i \(0.132037\pi\)
\(522\) 4.89865e7 8.48471e7i 0.344401 0.596521i
\(523\) 8.38679e7 4.84212e7i 0.586261 0.338478i −0.177357 0.984147i \(-0.556755\pi\)
0.763618 + 0.645669i \(0.223421\pi\)
\(524\) −3.00252e7 + 6.85306e6i −0.208685 + 0.0476311i
\(525\) −2.29150e7 3.45389e6i −0.158359 0.0238688i
\(526\) −1.86894e8 1.73412e8i −1.28422 1.19158i
\(527\) 3.67354e7 4.60647e7i 0.250988 0.314729i
\(528\) 1.20024e8 + 1.76043e8i 0.815393 + 1.19596i
\(529\) 1.08498e8 1.00672e8i 0.732919 0.680049i
\(530\) −8.83342e6 1.17874e8i −0.0593337 0.791753i
\(531\) −1.61870e7 + 4.12438e7i −0.108114 + 0.275470i
\(532\) 3.59408e6 1.57467e7i 0.0238700 0.104581i
\(533\) −1.46141e7 + 4.50784e6i −0.0965138 + 0.0297706i
\(534\) −1.10360e8 + 1.61869e8i −0.724751 + 1.06301i
\(535\) −7.06151e6 4.68500e7i −0.0461144 0.305949i
\(536\) −149518. + 58681.6i −0.000970957 + 0.000381073i
\(537\) −8.86471e7 + 4.26902e7i −0.572456 + 0.275680i
\(538\) 1.55528e8 + 3.22958e8i 0.998763 + 2.07395i
\(539\) 3.84288e6 + 9.79151e6i 0.0245409 + 0.0625293i
\(540\) 1.07750e8 1.62408e7i 0.684286 0.103140i
\(541\) 1.21852e8 + 8.30772e7i 0.769557 + 0.524675i 0.883285 0.468837i \(-0.155327\pi\)
−0.113728 + 0.993512i \(0.536279\pi\)
\(542\) −5.36909e7 1.74062e8i −0.337212 1.09321i
\(543\) 1.77817e8 + 4.05855e7i 1.11064 + 0.253496i
\(544\) −6.90737e7 2.71094e7i −0.429058 0.168393i
\(545\) 1.97861e8 1.48276e7i 1.22228 0.0915973i
\(546\) 7.77170e7 + 8.37591e7i 0.477462 + 0.514581i
\(547\) −1.55596e8 + 1.06084e8i −0.950687 + 0.648168i −0.936103 0.351726i \(-0.885595\pi\)
−0.0145844 + 0.999894i \(0.504643\pi\)
\(548\) 4.51689e7 + 3.60210e7i 0.274472 + 0.218884i
\(549\) 6.37224e7 6.86764e7i 0.385102 0.415041i
\(550\) 9.33825e6 6.19552e7i 0.0561277 0.372383i
\(551\) −8.35585e6 3.66094e7i −0.0499501 0.218846i
\(552\) 348800. + 604140.i 0.00207377 + 0.00359187i
\(553\) −1.17761e8 6.79892e7i −0.696346 0.402036i
\(554\) −3.72948e8 1.15039e8i −2.19340 0.676575i
\(555\) 1.70043e8 1.35605e8i 0.994674 0.793226i
\(556\) 694739. 9.27064e6i 0.00404201 0.0539368i
\(557\) −1.89191e8 9.11095e7i −1.09480 0.527227i −0.202780 0.979224i \(-0.564997\pi\)
−0.892019 + 0.451997i \(0.850712\pi\)
\(558\) 8.24864e7i 0.474766i
\(559\) 1.13379e8 7.64784e6i 0.649081 0.0437828i
\(560\) 1.94505e8 1.10756
\(561\) 3.54248e7 7.35604e7i 0.200641 0.416635i
\(562\) 2.22992e8 + 1.67109e7i 1.25626 + 0.0941438i
\(563\) −1.03454e8 1.29728e8i −0.579727 0.726955i 0.402339 0.915491i \(-0.368197\pi\)
−0.982066 + 0.188536i \(0.939626\pi\)
\(564\) −2.26018e7 + 7.32733e7i −0.125981 + 0.408422i
\(565\) −1.24483e8 + 2.15610e8i −0.690182 + 1.19543i
\(566\) −2.94186e8 + 1.69849e8i −1.62246 + 0.936726i
\(567\) 9.64973e7 2.20249e7i 0.529378 0.120827i
\(568\) 1.40841e7 + 2.12283e6i 0.0768570 + 0.0115843i
\(569\) 1.07165e8 + 9.94344e7i 0.581722 + 0.539759i 0.915201 0.402998i \(-0.132032\pi\)
−0.333479 + 0.942758i \(0.608222\pi\)
\(570\) 1.62110e7 2.03279e7i 0.0875355 0.109766i
\(571\) 6.35207e7 + 9.31677e7i 0.341198 + 0.500446i 0.958037 0.286643i \(-0.0925395\pi\)
−0.616839 + 0.787089i \(0.711587\pi\)
\(572\) −9.38836e7 + 8.71112e7i −0.501651 + 0.465464i
\(573\) −1.94900e7 2.60076e8i −0.103597 1.38241i
\(574\) 1.43332e7 3.65203e7i 0.0757891 0.193107i
\(575\) 110491. 484093.i 0.000581198 0.00254639i
\(576\) 2.26144e7 6.97562e6i 0.118336 0.0365019i
\(577\) −6.77877e7 + 9.94263e7i −0.352877 + 0.517576i −0.961104 0.276188i \(-0.910929\pi\)
0.608227 + 0.793763i \(0.291881\pi\)
\(578\) −3.20247e7 2.12470e8i −0.165845 1.10031i
\(579\) 2.70836e8 1.06295e8i 1.39531 0.547620i
\(580\) −1.69320e8 + 8.15404e7i −0.867811 + 0.417916i
\(581\) −3.33114e6 6.91719e6i −0.0169850 0.0352696i
\(582\) −5.79462e7 1.47645e8i −0.293938 0.748943i
\(583\) 1.96948e8 2.96851e7i 0.993907 0.149807i
\(584\) −7.92290e7 5.40174e7i −0.397782 0.271203i
\(585\) −1.19896e7 3.88693e7i −0.0598876 0.194151i
\(586\) −3.23724e8 7.38880e7i −1.60873 0.367182i
\(587\) 3.12199e8 + 1.22529e8i 1.54354 + 0.605794i 0.976042 0.217583i \(-0.0698172\pi\)
0.567496 + 0.823376i \(0.307912\pi\)
\(588\) −5.24261e6 + 392879.i −0.0257879 + 0.00193253i
\(589\) 2.15038e7 + 2.31756e7i 0.105237 + 0.113419i
\(590\) 1.69381e8 1.15482e8i 0.824726 0.562288i
\(591\) −6.18496e7 4.93234e7i −0.299623 0.238941i
\(592\) 2.98814e8 3.22044e8i 1.44024 1.55221i
\(593\) −4.18635e7 + 2.77746e8i −0.200757 + 1.33194i 0.630561 + 0.776140i \(0.282825\pi\)
−0.831318 + 0.555797i \(0.812413\pi\)
\(594\) 9.85516e7 + 4.31783e8i 0.470224 + 2.06018i
\(595\) −3.72668e7 6.45481e7i −0.176918 0.306431i
\(596\) −9.71947e6 5.61154e6i −0.0459096 0.0265059i
\(597\) −2.01225e8 6.20696e7i −0.945711 0.291713i
\(598\) −1.91412e6 + 1.52646e6i −0.00895086 + 0.00713808i
\(599\) 1.38186e7 1.84396e8i 0.0642960 0.857970i −0.868067 0.496447i \(-0.834638\pi\)
0.932363 0.361523i \(-0.117743\pi\)
\(600\) −1.16278e7 5.59967e6i −0.0538326 0.0259244i
\(601\) 2.07091e7i 0.0953978i 0.998862 + 0.0476989i \(0.0151888\pi\)
−0.998862 + 0.0476989i \(0.984811\pi\)
\(602\) −1.66004e8 + 2.39629e8i −0.760903 + 1.09837i
\(603\) −208574. −0.000951278
\(604\) −1.96519e7 + 4.08075e7i −0.0891852 + 0.185195i
\(605\) −2.39201e8 1.79256e7i −1.08018 0.0809484i
\(606\) −3.61197e7 4.52927e7i −0.162303 0.203521i
\(607\) −5.60321e7 + 1.81652e8i −0.250536 + 0.812219i 0.739714 + 0.672921i \(0.234961\pi\)
−0.990251 + 0.139298i \(0.955516\pi\)
\(608\) 1.99082e7 3.44821e7i 0.0885773 0.153420i
\(609\) −2.44663e8 + 1.41256e8i −1.08322 + 0.625397i
\(610\) −4.22608e8 + 9.64576e7i −1.86187 + 0.424959i
\(611\) 1.09668e8 + 1.65298e7i 0.480792 + 0.0724678i
\(612\) −1.59572e7 1.48061e7i −0.0696150 0.0645933i
\(613\) −1.80232e8 + 2.26003e8i −0.782438 + 0.981146i 0.217549 + 0.976049i \(0.430194\pi\)
−0.999987 + 0.00509683i \(0.998378\pi\)
\(614\) −3.86572e7 5.66997e7i −0.167003 0.244949i
\(615\) 1.91930e7 1.78085e7i 0.0825119 0.0765599i
\(616\) 1.01185e7 + 1.35022e8i 0.0432886 + 0.577646i
\(617\) −8.97018e7 + 2.28556e8i −0.381896 + 0.973056i 0.602662 + 0.797997i \(0.294107\pi\)
−0.984558 + 0.175059i \(0.943988\pi\)
\(618\) 9.30301e7 4.07591e8i 0.394147 1.72687i
\(619\) 4.37112e8 1.34831e8i 1.84298 0.568484i 0.843470 0.537176i \(-0.180509\pi\)
0.999510 0.0313077i \(-0.00996719\pi\)
\(620\) 8.91314e7 1.30732e8i 0.373986 0.548537i
\(621\) 523122. + 3.47069e6i 0.00218438 + 0.0144924i
\(622\) −9.63837e7 + 3.78278e7i −0.400527 + 0.157195i
\(623\) −2.71507e8 + 1.30751e8i −1.12284 + 0.540730i
\(624\) 6.68295e7 + 1.38773e8i 0.275052 + 0.571151i
\(625\) −6.85368e7 1.74629e8i −0.280727 0.715280i
\(626\) 2.46262e8 3.71180e7i 1.00386 0.151308i
\(627\) 3.61977e7 + 2.46792e7i 0.146852 + 0.100122i
\(628\) 6.04881e7 + 1.96098e8i 0.244226 + 0.791760i
\(629\) −1.64125e8 3.74605e7i −0.659512 0.150529i
\(630\) 9.71339e7 + 3.81222e7i 0.388462 + 0.152460i
\(631\) 7.00316e7 5.24814e6i 0.278744 0.0208890i 0.0653755 0.997861i \(-0.479175\pi\)
0.213369 + 0.976972i \(0.431556\pi\)
\(632\) −5.15086e7 5.55131e7i −0.204046 0.219910i
\(633\) 2.74622e8 1.87234e8i 1.08274 0.738199i
\(634\) 1.91501e7 + 1.52717e7i 0.0751457 + 0.0599267i
\(635\) −2.15560e8 + 2.32318e8i −0.841872 + 0.907322i
\(636\) −1.48369e7 + 9.84365e7i −0.0576730 + 0.382635i
\(637\) 1.69204e6 + 7.41332e6i 0.00654626 + 0.0286810i
\(638\) −3.81913e8 6.61493e8i −1.47063 2.54720i
\(639\) 1.60174e7 + 9.24767e6i 0.0613890 + 0.0354430i
\(640\) 1.64258e8 + 5.06668e7i 0.626593 + 0.193278i
\(641\) −1.15274e8 + 9.19283e7i −0.437682 + 0.349040i −0.817408 0.576059i \(-0.804590\pi\)
0.379726 + 0.925099i \(0.376018\pi\)
\(642\) −7.19257e6 + 9.59781e7i −0.0271818 + 0.362716i
\(643\) −1.70875e8 8.22889e7i −0.642754 0.309534i 0.0839654 0.996469i \(-0.473241\pi\)
−0.726719 + 0.686935i \(0.758956\pi\)
\(644\) 2.60371e6i 0.00974843i
\(645\) −1.69201e8 + 9.60149e7i −0.630555 + 0.357816i
\(646\) −2.01250e7 −0.0746514
\(647\) −1.17036e8 + 2.43027e8i −0.432121 + 0.897309i 0.565255 + 0.824916i \(0.308778\pi\)
−0.997376 + 0.0723930i \(0.976936\pi\)
\(648\) 5.49689e7 + 4.11935e6i 0.202019 + 0.0151392i
\(649\) 2.15370e8 + 2.70066e8i 0.787864 + 0.987950i
\(650\) 1.33505e7 4.32814e7i 0.0486137 0.157602i
\(651\) 1.18928e8 2.05989e8i 0.431063 0.746623i
\(652\) 1.65851e8 9.57540e7i 0.598377 0.345473i
\(653\) 5.07833e7 1.15910e7i 0.182382 0.0416275i −0.130354 0.991467i \(-0.541612\pi\)
0.312736 + 0.949840i \(0.398754\pi\)
\(654\) −3.98565e8 6.00740e7i −1.42484 0.214760i
\(655\) −5.59017e7 5.18692e7i −0.198930 0.184580i
\(656\) 3.29740e7 4.13480e7i 0.116805 0.146468i
\(657\) −7.01438e7 1.02882e8i −0.247339 0.362780i
\(658\) −2.08560e8 + 1.93515e8i −0.732071 + 0.679262i
\(659\) −2.12481e7 2.83536e8i −0.0742443 0.990721i −0.902589 0.430503i \(-0.858336\pi\)
0.828345 0.560218i \(-0.189283\pi\)
\(660\) 8.01038e7 2.04101e8i 0.278626 0.709927i
\(661\) 4.30271e7 1.88514e8i 0.148983 0.652739i −0.844185 0.536051i \(-0.819915\pi\)
0.993169 0.116687i \(-0.0372275\pi\)
\(662\) 5.97680e8 1.84360e8i 2.06013 0.635467i
\(663\) 3.32485e7 4.87665e7i 0.114086 0.167333i
\(664\) −637265. 4.22797e6i −0.00217678 0.0144420i
\(665\) 3.72292e7 1.46114e7i 0.126596 0.0496852i
\(666\) 2.12344e8 1.02259e8i 0.718815 0.346163i
\(667\) −2.62645e6 5.45388e6i −0.00885098 0.0183793i
\(668\) −6.06041e7 1.54417e8i −0.203317 0.518042i
\(669\) −3.23582e8 + 4.87721e7i −1.08070 + 0.162889i
\(670\) 797366. + 543635.i 0.00265114 + 0.00180752i
\(671\) −2.15290e8 6.97952e8i −0.712616 2.31024i
\(672\) −2.92047e8 6.66578e7i −0.962377 0.219656i
\(673\) 2.35830e8 + 9.25564e7i 0.773666 + 0.303642i 0.719135 0.694871i \(-0.244538\pi\)
0.0545312 + 0.998512i \(0.482634\pi\)
\(674\) −6.67251e7 + 5.00035e6i −0.217926 + 0.0163313i
\(675\) −4.41667e7 4.76004e7i −0.143610 0.154774i
\(676\) 1.04251e8 7.10772e7i 0.337474 0.230086i
\(677\) −3.13808e8 2.50254e8i −1.01134 0.806519i −0.0301488 0.999545i \(-0.509598\pi\)
−0.981193 + 0.193027i \(0.938170\pi\)
\(678\) 3.44000e8 3.70744e8i 1.10375 1.18956i
\(679\) 3.63622e7 2.41247e8i 0.116156 0.770643i
\(680\) −9.23664e6 4.04684e7i −0.0293756 0.128703i
\(681\) 1.31622e8 + 2.27976e8i 0.416760 + 0.721850i
\(682\) 5.56931e8 + 3.21544e8i 1.75569 + 1.01365i
\(683\) 3.16733e8 + 9.76991e7i 0.994102 + 0.306640i 0.748792 0.662805i \(-0.230634\pi\)
0.245310 + 0.969445i \(0.421110\pi\)
\(684\) 9.13222e6 7.28270e6i 0.0285370 0.0227575i
\(685\) −1.06905e7 + 1.42655e8i −0.0332603 + 0.443828i
\(686\) 3.71067e8 + 1.78697e8i 1.14942 + 0.553533i
\(687\) 4.73652e7i 0.146080i
\(688\) −3.09049e8 + 2.42715e8i −0.948992 + 0.745300i
\(689\) 1.43983e8 0.440203
\(690\) 1.81856e6 3.77629e6i 0.00553581 0.0114952i
\(691\) −2.19869e8 1.64769e7i −0.666391 0.0499391i −0.262760 0.964861i \(-0.584633\pi\)
−0.403631 + 0.914922i \(0.632252\pi\)
\(692\) 9.11209e6 + 1.14262e7i 0.0274979 + 0.0344813i
\(693\) −5.18248e7 + 1.68012e8i −0.155718 + 0.504824i
\(694\) −1.16372e8 + 2.01563e8i −0.348154 + 0.603020i
\(695\) 1.99358e7 1.15099e7i 0.0593853 0.0342861i
\(696\) −1.53391e8 + 3.50105e7i −0.454960 + 0.103842i
\(697\) −2.00394e7 3.02046e6i −0.0591816 0.00892019i
\(698\) 5.23619e8 + 4.85847e8i 1.53975 + 1.42868i
\(699\) −2.28689e8 + 2.86767e8i −0.669598 + 0.839649i
\(700\) 2.71350e7 + 3.97997e7i 0.0791108 + 0.116034i
\(701\) −3.17584e8 + 2.94675e8i −0.921944 + 0.855439i −0.989830 0.142254i \(-0.954565\pi\)
0.0678864 + 0.997693i \(0.478374\pi\)
\(702\) 2.39260e7 + 3.19270e8i 0.0691606 + 0.922884i
\(703\) 3.30021e7 8.40880e7i 0.0949896 0.242029i
\(704\) 4.10564e7 1.79880e8i 0.117669 0.515542i
\(705\) −1.81436e8 + 5.59655e7i −0.517792 + 0.159718i
\(706\) −2.55627e8 + 3.74936e8i −0.726427 + 1.06547i
\(707\) −1.32812e7 8.81151e7i −0.0375820 0.249340i
\(708\) −1.60713e8 + 6.30753e7i −0.452847 + 0.177729i
\(709\) 1.10673e8 5.32972e7i 0.310529 0.149543i −0.272128 0.962261i \(-0.587727\pi\)
0.582657 + 0.812718i \(0.302013\pi\)
\(710\) −3.71303e7 7.71019e7i −0.103742 0.215422i
\(711\) −3.59265e7 9.15392e7i −0.0999554 0.254682i
\(712\) −1.65952e8 + 2.50133e7i −0.459773 + 0.0692997i
\(713\) 4.21092e6 + 2.87096e6i 0.0116174 + 0.00792060i
\(714\) 4.46287e7 + 1.44683e8i 0.122608 + 0.397486i
\(715\) −3.09175e8 7.05671e7i −0.845836 0.193057i
\(716\) 1.90380e8 + 7.47187e7i 0.518660 + 0.203559i
\(717\) −1.54620e8 + 1.15872e7i −0.419476 + 0.0314354i
\(718\) 5.99824e8 + 6.46457e8i 1.62051 + 1.74649i
\(719\) 4.74513e8 3.23517e8i 1.27662 0.870384i 0.280626 0.959817i \(-0.409458\pi\)
0.995993 + 0.0894334i \(0.0285056\pi\)
\(720\) 1.09974e8 + 8.77015e7i 0.294641 + 0.234968i
\(721\) 4.37407e8 4.71413e8i 1.16702 1.25775i
\(722\) −7.17041e7 + 4.75726e8i −0.190516 + 1.26399i
\(723\) 2.00753e7 + 8.79554e7i 0.0531185 + 0.232728i
\(724\) −1.89560e8 3.28327e8i −0.499494 0.865149i
\(725\) 9.69859e7 + 5.59948e7i 0.254504 + 0.146938i
\(726\) 4.65632e8 + 1.43628e8i 1.21684 + 0.375345i
\(727\) 2.47000e8 1.96976e8i 0.642828 0.512638i −0.246952 0.969028i \(-0.579429\pi\)
0.889780 + 0.456390i \(0.150858\pi\)
\(728\) −7.31471e6 + 9.76080e7i −0.0189585 + 0.252983i
\(729\) 3.71305e8 + 1.78811e8i 0.958402 + 0.461542i
\(730\) 5.76139e8i 1.48101i
\(731\) 1.39760e8 + 5.60567e7i 0.357792 + 0.143508i
\(732\) 3.65062e8 0.930750
\(733\) 1.20404e8 2.50021e8i 0.305723 0.634841i −0.690340 0.723485i \(-0.742539\pi\)
0.996063 + 0.0886442i \(0.0282534\pi\)
\(734\) −7.96370e8 5.96797e7i −2.01385 0.150917i
\(735\) −8.11652e6 1.01778e7i −0.0204413 0.0256325i
\(736\) 1.89191e6 6.13342e6i 0.00474533 0.0153840i
\(737\) −813051. + 1.40825e6i −0.00203103 + 0.00351784i
\(738\) 2.45709e7 1.41860e7i 0.0611297 0.0352932i
\(739\) 1.84134e8 4.20273e7i 0.456247 0.104135i 0.0117798 0.999931i \(-0.496250\pi\)
0.444467 + 0.895795i \(0.353393\pi\)
\(740\) −4.47038e8 6.73802e7i −1.10319 0.166279i
\(741\) 2.32162e7 + 2.15415e7i 0.0570607 + 0.0529446i
\(742\) −2.30291e8 + 2.88776e8i −0.563723 + 0.706886i
\(743\) 2.54977e8 + 3.73983e8i 0.621634 + 0.911769i 0.999903 0.0139264i \(-0.00443306\pi\)
−0.378269 + 0.925696i \(0.623481\pi\)
\(744\) 9.71044e7 9.00997e7i 0.235787 0.218778i
\(745\) −2.07675e6 2.77123e7i −0.00502245 0.0670199i
\(746\) 1.47371e8 3.75496e8i 0.354974 0.904459i
\(747\) 1.23548e6 5.41301e6i 0.00296398 0.0129860i
\(748\) −1.62172e8 + 5.00233e7i −0.387498 + 0.119527i
\(749\) −8.33984e7 + 1.22323e8i −0.198478 + 0.291114i
\(750\) 7.11366e7 + 4.71961e8i 0.168620 + 1.11872i
\(751\) 2.13090e8 8.36317e7i 0.503088 0.197447i −0.100206 0.994967i \(-0.531950\pi\)
0.603293 + 0.797519i \(0.293855\pi\)
\(752\) −3.45544e8 + 1.66405e8i −0.812550 + 0.391303i