Properties

Label 43.7.h.a.29.12
Level 43
Weight 7
Character 43.29
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 29.12
Character \(\chi\) \(=\) 43.29
Dual form 43.7.h.a.3.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.05720 + 2.19531i) q^{2} +(-37.2864 + 2.79423i) q^{3} +(36.2017 - 45.3954i) q^{4} +(67.3700 + 218.408i) q^{5} +(-45.5535 - 78.9010i) q^{6} +(-230.704 - 133.197i) q^{7} +(289.962 + 66.1820i) q^{8} +(661.611 - 99.7219i) q^{9} +O(q^{10})\) \(q+(1.05720 + 2.19531i) q^{2} +(-37.2864 + 2.79423i) q^{3} +(36.2017 - 45.3954i) q^{4} +(67.3700 + 218.408i) q^{5} +(-45.5535 - 78.9010i) q^{6} +(-230.704 - 133.197i) q^{7} +(289.962 + 66.1820i) q^{8} +(661.611 - 99.7219i) q^{9} +(-408.249 + 378.799i) q^{10} +(-1427.55 - 1790.10i) q^{11} +(-1222.98 + 1793.79i) q^{12} +(-825.797 - 766.228i) q^{13} +(48.5071 - 647.282i) q^{14} +(-3122.27 - 7955.41i) q^{15} +(-665.635 - 2916.34i) q^{16} +(-3041.86 - 938.288i) q^{17} +(918.378 + 1347.01i) q^{18} +(192.837 - 1279.39i) q^{19} +(12353.6 + 4848.45i) q^{20} +(8974.31 + 4321.80i) q^{21} +(2420.59 - 5026.41i) q^{22} +(2887.59 - 7357.45i) q^{23} +(-10996.6 - 1657.47i) q^{24} +(-30253.4 + 20626.4i) q^{25} +(809.069 - 2622.94i) q^{26} +(2184.13 - 498.513i) q^{27} +(-14398.4 + 5650.96i) q^{28} +(-7708.60 - 577.680i) q^{29} +(14163.7 - 15264.8i) q^{30} +(-22037.9 - 15025.2i) q^{31} +(20580.6 - 16412.5i) q^{32} +(58230.3 + 62757.4i) q^{33} +(-1156.03 - 7669.76i) q^{34} +(13548.8 - 59361.1i) q^{35} +(19424.5 - 33644.2i) q^{36} +(-85952.6 + 49624.7i) q^{37} +(3012.52 - 929.241i) q^{38} +(32932.0 + 26262.4i) q^{39} +(5080.07 + 67788.8i) q^{40} +(78900.8 - 37996.6i) q^{41} +24270.4i q^{42} +(51884.6 + 60244.1i) q^{43} -132942. q^{44} +(66352.8 + 137783. i) q^{45} +(19204.6 - 1439.19i) q^{46} +(-46978.1 + 58908.7i) q^{47} +(32968.1 + 106880. i) q^{48} +(-23341.6 - 40428.9i) q^{49} +(-77265.3 - 44609.1i) q^{50} +(116042. + 26485.8i) q^{51} +(-64678.5 + 9748.71i) q^{52} +(83778.4 - 77735.0i) q^{53} +(3403.46 + 4267.80i) q^{54} +(294797. - 432388. i) q^{55} +(-58080.2 - 53890.6i) q^{56} +(-3615.30 + 48242.8i) q^{57} +(-6881.38 - 17533.5i) q^{58} +(-34036.7 - 149124. i) q^{59} +(-474171. - 146262. i) q^{60} +(117623. + 172522. i) q^{61} +(9686.33 - 64264.6i) q^{62} +(-165919. - 65118.4i) q^{63} +(-114698. - 55235.8i) q^{64} +(111716. - 231982. i) q^{65} +(-76210.3 + 194181. i) q^{66} +(-208375. - 31407.5i) q^{67} +(-152714. + 104119. i) q^{68} +(-87109.3 + 282401. i) q^{69} +(144640. - 33013.0i) q^{70} +(-600442. + 235656. i) q^{71} +(198442. + 14871.2i) q^{72} +(-33363.2 + 35957.0i) q^{73} +(-199811. - 136229. i) q^{74} +(1.07041e6 - 853620. i) q^{75} +(-51097.5 - 55070.0i) q^{76} +(90907.0 + 603128. i) q^{77} +(-22838.2 + 100061. i) q^{78} +(-157110. + 272123. i) q^{79} +(592108. - 341854. i) q^{80} +(-546138. + 168461. i) q^{81} +(166828. + 133041. i) q^{82} +(27393.1 + 365535. i) q^{83} +(521075. - 250936. i) q^{84} -727578. i q^{85} +(-77401.7 + 177593. i) q^{86} +289040. q^{87} +(-295465. - 613539. i) q^{88} +(-149537. + 11206.3i) q^{89} +(-232327. + 291329. i) q^{90} +(88455.5 + 286766. i) q^{91} +(-229459. - 397435. i) q^{92} +(863698. + 498656. i) q^{93} +(-178988. - 40852.9i) q^{94} +(292421. - 44075.4i) q^{95} +(-721515. + 669469. i) q^{96} +(282287. + 353977. i) q^{97} +(64076.9 - 93983.5i) q^{98} +(-1.12300e6 - 1.04199e6i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.05720 + 2.19531i 0.132150 + 0.274413i 0.956535 0.291616i \(-0.0941931\pi\)
−0.824385 + 0.566030i \(0.808479\pi\)
\(3\) −37.2864 + 2.79423i −1.38098 + 0.103490i −0.744406 0.667727i \(-0.767267\pi\)
−0.636572 + 0.771217i \(0.719648\pi\)
\(4\) 36.2017 45.3954i 0.565651 0.709304i
\(5\) 67.3700 + 218.408i 0.538960 + 1.74726i 0.656631 + 0.754212i \(0.271981\pi\)
−0.117671 + 0.993053i \(0.537543\pi\)
\(6\) −45.5535 78.9010i −0.210896 0.365282i
\(7\) −230.704 133.197i −0.672606 0.388329i 0.124457 0.992225i \(-0.460281\pi\)
−0.797063 + 0.603896i \(0.793614\pi\)
\(8\) 289.962 + 66.1820i 0.566333 + 0.129262i
\(9\) 661.611 99.7219i 0.907560 0.136793i
\(10\) −408.249 + 378.799i −0.408249 + 0.378799i
\(11\) −1427.55 1790.10i −1.07254 1.34493i −0.935087 0.354418i \(-0.884679\pi\)
−0.137456 0.990508i \(-0.543893\pi\)
\(12\) −1222.98 + 1793.79i −0.707746 + 1.03807i
\(13\) −825.797 766.228i −0.375875 0.348761i 0.469502 0.882932i \(-0.344434\pi\)
−0.845377 + 0.534171i \(0.820624\pi\)
\(14\) 48.5071 647.282i 0.0176775 0.235890i
\(15\) −3122.27 7955.41i −0.925116 2.35716i
\(16\) −665.635 2916.34i −0.162509 0.711996i
\(17\) −3041.86 938.288i −0.619144 0.190981i −0.0307134 0.999528i \(-0.509778\pi\)
−0.588431 + 0.808548i \(0.700254\pi\)
\(18\) 918.378 + 1347.01i 0.157472 + 0.230969i
\(19\) 192.837 1279.39i 0.0281145 0.186527i −0.970366 0.241642i \(-0.922314\pi\)
0.998480 + 0.0551141i \(0.0175523\pi\)
\(20\) 12353.6 + 4848.45i 1.54420 + 0.606056i
\(21\) 8974.31 + 4321.80i 0.969043 + 0.466667i
\(22\) 2420.59 5026.41i 0.227328 0.472052i
\(23\) 2887.59 7357.45i 0.237329 0.604705i −0.761738 0.647885i \(-0.775654\pi\)
0.999067 + 0.0431800i \(0.0137489\pi\)
\(24\) −10996.6 1657.47i −0.795470 0.119898i
\(25\) −30253.4 + 20626.4i −1.93622 + 1.32009i
\(26\) 809.069 2622.94i 0.0460326 0.149234i
\(27\) 2184.13 498.513i 0.110965 0.0253271i
\(28\) −14398.4 + 5650.96i −0.655904 + 0.257423i
\(29\) −7708.60 577.680i −0.316069 0.0236861i −0.0842487 0.996445i \(-0.526849\pi\)
−0.231820 + 0.972759i \(0.574468\pi\)
\(30\) 14163.7 15264.8i 0.524581 0.565363i
\(31\) −22037.9 15025.2i −0.739750 0.504353i 0.133847 0.991002i \(-0.457267\pi\)
−0.873598 + 0.486649i \(0.838219\pi\)
\(32\) 20580.6 16412.5i 0.628069 0.500868i
\(33\) 58230.3 + 62757.4i 1.62034 + 1.74632i
\(34\) −1156.03 7669.76i −0.0294126 0.195140i
\(35\) 13548.8 59361.1i 0.316007 1.38452i
\(36\) 19424.5 33644.2i 0.416335 0.721113i
\(37\) −85952.6 + 49624.7i −1.69689 + 0.979700i −0.748211 + 0.663461i \(0.769087\pi\)
−0.948680 + 0.316239i \(0.897580\pi\)
\(38\) 3012.52 929.241i 0.0549009 0.0169347i
\(39\) 32932.0 + 26262.4i 0.555169 + 0.442732i
\(40\) 5080.07 + 67788.8i 0.0793761 + 1.05920i
\(41\) 78900.8 37996.6i 1.14480 0.551307i 0.237332 0.971429i \(-0.423727\pi\)
0.907468 + 0.420122i \(0.138013\pi\)
\(42\) 24270.4i 0.327588i
\(43\) 51884.6 + 60244.1i 0.652579 + 0.757721i
\(44\) −132942. −1.56065
\(45\) 66352.8 + 137783.i 0.728151 + 1.51202i
\(46\) 19204.6 1439.19i 0.197302 0.0147858i
\(47\) −46978.1 + 58908.7i −0.452483 + 0.567396i −0.954785 0.297296i \(-0.903915\pi\)
0.502302 + 0.864692i \(0.332486\pi\)
\(48\) 32968.1 + 106880.i 0.298105 + 0.966434i
\(49\) −23341.6 40428.9i −0.198400 0.343640i
\(50\) −77265.3 44609.1i −0.618122 0.356873i
\(51\) 116042. + 26485.8i 0.874790 + 0.199665i
\(52\) −64678.5 + 9748.71i −0.459992 + 0.0693326i
\(53\) 83778.4 77735.0i 0.562735 0.522142i −0.346706 0.937974i \(-0.612700\pi\)
0.909442 + 0.415832i \(0.136509\pi\)
\(54\) 3403.46 + 4267.80i 0.0216142 + 0.0271033i
\(55\) 294797. 432388.i 1.77188 2.59888i
\(56\) −58080.2 53890.6i −0.330723 0.306866i
\(57\) −3615.30 + 48242.8i −0.0195218 + 0.260500i
\(58\) −6881.38 17533.5i −0.0352689 0.0898636i
\(59\) −34036.7 149124.i −0.165726 0.726094i −0.987673 0.156530i \(-0.949969\pi\)
0.821947 0.569564i \(-0.192888\pi\)
\(60\) −474171. 146262.i −2.19523 0.677140i
\(61\) 117623. + 172522.i 0.518208 + 0.760071i 0.992755 0.120159i \(-0.0383404\pi\)
−0.474547 + 0.880230i \(0.657388\pi\)
\(62\) 9686.33 64264.6i 0.0406429 0.269648i
\(63\) −165919. 65118.4i −0.663551 0.260425i
\(64\) −114698. 55235.8i −0.437539 0.210708i
\(65\) 111716. 231982.i 0.406796 0.844721i
\(66\) −76210.3 + 194181.i −0.265083 + 0.675420i
\(67\) −208375. 31407.5i −0.692822 0.104426i −0.206814 0.978380i \(-0.566309\pi\)
−0.486008 + 0.873954i \(0.661547\pi\)
\(68\) −152714. + 104119.i −0.485683 + 0.331133i
\(69\) −87109.3 + 282401.i −0.265166 + 0.859646i
\(70\) 144640. 33013.0i 0.421690 0.0962479i
\(71\) −600442. + 235656.i −1.67763 + 0.658421i −0.997227 0.0744195i \(-0.976290\pi\)
−0.680401 + 0.732840i \(0.738194\pi\)
\(72\) 198442. + 14871.2i 0.531663 + 0.0398426i
\(73\) −33363.2 + 35957.0i −0.0857629 + 0.0924305i −0.774475 0.632604i \(-0.781986\pi\)
0.688712 + 0.725035i \(0.258176\pi\)
\(74\) −199811. 136229.i −0.493087 0.336181i
\(75\) 1.07041e6 853620.i 2.53726 2.02340i
\(76\) −51097.5 55070.0i −0.116402 0.125451i
\(77\) 90907.0 + 603128.i 0.199125 + 1.32111i
\(78\) −22838.2 + 100061.i −0.0481258 + 0.210853i
\(79\) −157110. + 272123.i −0.318657 + 0.551930i −0.980208 0.197970i \(-0.936565\pi\)
0.661551 + 0.749900i \(0.269898\pi\)
\(80\) 592108. 341854.i 1.15646 0.667683i
\(81\) −546138. + 168461.i −1.02766 + 0.316990i
\(82\) 166828. + 133041.i 0.302572 + 0.241293i
\(83\) 27393.1 + 365535.i 0.0479078 + 0.639286i 0.968541 + 0.248856i \(0.0800546\pi\)
−0.920633 + 0.390430i \(0.872326\pi\)
\(84\) 521075. 250936.i 0.879148 0.423376i
\(85\) 727578.i 1.18474i
\(86\) −77401.7 + 177593.i −0.121690 + 0.279209i
\(87\) 289040. 0.438935
\(88\) −295465. 613539.i −0.433569 0.900314i
\(89\) −149537. + 11206.3i −0.212119 + 0.0158961i −0.180366 0.983600i \(-0.557728\pi\)
−0.0317533 + 0.999496i \(0.510109\pi\)
\(90\) −232327. + 291329.i −0.318693 + 0.399629i
\(91\) 88455.5 + 286766.i 0.117382 + 0.380542i
\(92\) −229459. 397435.i −0.294674 0.510391i
\(93\) 863698. + 498656.i 1.07377 + 0.619944i
\(94\) −178988. 40852.9i −0.215497 0.0491857i
\(95\) 292421. 44075.4i 0.341065 0.0514073i
\(96\) −721515. + 669469.i −0.815515 + 0.756687i
\(97\) 282287. + 353977.i 0.309297 + 0.387846i 0.912048 0.410083i \(-0.134500\pi\)
−0.602751 + 0.797929i \(0.705929\pi\)
\(98\) 64076.9 93983.5i 0.0680806 0.0998558i
\(99\) −1.12300e6 1.04199e6i −1.15737 1.07389i
\(100\) −158878. + 2.12008e6i −0.158878 + 2.12008i
\(101\) −314625. 801651.i −0.305372 0.778075i −0.998367 0.0571320i \(-0.981804\pi\)
0.692995 0.720943i \(-0.256291\pi\)
\(102\) 64535.3 + 282748.i 0.0608131 + 0.266440i
\(103\) 393195. + 121285.i 0.359829 + 0.110993i 0.469398 0.882987i \(-0.344471\pi\)
−0.109569 + 0.993979i \(0.534947\pi\)
\(104\) −188740. 276830.i −0.167789 0.246101i
\(105\) −339317. + 2.25122e6i −0.293115 + 1.94469i
\(106\) 259223. + 101737.i 0.217648 + 0.0854207i
\(107\) 1.67942e6 + 808765.i 1.37091 + 0.660193i 0.967040 0.254625i \(-0.0819521\pi\)
0.403865 + 0.914818i \(0.367666\pi\)
\(108\) 56438.8 117196.i 0.0448030 0.0930343i
\(109\) 555528. 1.41546e6i 0.428970 1.09300i −0.539084 0.842252i \(-0.681229\pi\)
0.968053 0.250744i \(-0.0806754\pi\)
\(110\) 1.26088e6 + 190048.i 0.947321 + 0.142786i
\(111\) 3.06620e6 2.09050e6i 2.24198 1.52856i
\(112\) −234883. + 761471.i −0.167185 + 0.542000i
\(113\) −2.56445e6 + 585318.i −1.77729 + 0.405655i −0.980169 0.198165i \(-0.936502\pi\)
−0.797121 + 0.603820i \(0.793645\pi\)
\(114\) −109730. + 43065.7i −0.0740644 + 0.0290681i
\(115\) 1.80146e6 + 135001.i 1.18449 + 0.0887653i
\(116\) −305288. + 329022.i −0.195585 + 0.210791i
\(117\) −622767. 424595.i −0.388837 0.265105i
\(118\) 291390. 232376.i 0.177349 0.141431i
\(119\) 576791. + 621633.i 0.342277 + 0.368887i
\(120\) −378835. 2.51341e6i −0.219233 1.45452i
\(121\) −772325. + 3.38378e6i −0.435957 + 1.91005i
\(122\) −254386. + 440610.i −0.140092 + 0.242647i
\(123\) −2.83576e6 + 1.63722e6i −1.52389 + 0.879818i
\(124\) −1.47988e6 + 456484.i −0.776180 + 0.239420i
\(125\) −3.75100e6 2.99132e6i −1.92051 1.53156i
\(126\) −32455.3 433086.i −0.0162246 0.216502i
\(127\) 710659. 342235.i 0.346936 0.167076i −0.252298 0.967650i \(-0.581186\pi\)
0.599234 + 0.800574i \(0.295472\pi\)
\(128\) 1.99490e6i 0.951242i
\(129\) −2.10293e6 2.10131e6i −0.979614 0.978861i
\(130\) 627377. 0.285561
\(131\) −1.11193e6 2.30894e6i −0.494610 1.02707i −0.987594 0.157030i \(-0.949808\pi\)
0.492984 0.870039i \(-0.335906\pi\)
\(132\) 4.95693e6 371471.i 2.15522 0.161511i
\(133\) −214899. + 269475.i −0.0913441 + 0.114542i
\(134\) −151346. 490651.i −0.0629008 0.203919i
\(135\) 256024. + 443446.i 0.104059 + 0.180235i
\(136\) −819926. 473384.i −0.325955 0.188190i
\(137\) 4.41367e6 + 1.00739e6i 1.71648 + 0.391775i 0.963803 0.266616i \(-0.0859056\pi\)
0.752676 + 0.658391i \(0.228763\pi\)
\(138\) −712050. + 107324.i −0.270940 + 0.0408376i
\(139\) −1.56366e6 + 1.45086e6i −0.582235 + 0.540235i −0.915354 0.402650i \(-0.868089\pi\)
0.333119 + 0.942885i \(0.391899\pi\)
\(140\) −2.20423e6 2.76402e6i −0.803293 1.00730i
\(141\) 1.58704e6 2.32776e6i 0.566149 0.830389i
\(142\) −1.15213e6 1.06902e6i −0.402379 0.373353i
\(143\) −192751. + 2.57209e6i −0.0659158 + 0.879585i
\(144\) −731214. 1.86310e6i −0.244882 0.623950i
\(145\) −393158. 1.72254e6i −0.128963 0.565022i
\(146\) −114208. 35228.6i −0.0366977 0.0113198i
\(147\) 983293. + 1.44223e6i 0.309550 + 0.454027i
\(148\) −858889. + 5.69835e6i −0.264943 + 1.75778i
\(149\) −151745. 59555.6i −0.0458729 0.0180038i 0.342294 0.939593i \(-0.388796\pi\)
−0.388167 + 0.921589i \(0.626891\pi\)
\(150\) 3.00559e6 + 1.44742e6i 0.890546 + 0.428864i
\(151\) 504977. 1.04860e6i 0.146670 0.304563i −0.814671 0.579923i \(-0.803083\pi\)
0.961341 + 0.275360i \(0.0887970\pi\)
\(152\) 140588. 358213.i 0.0400330 0.102002i
\(153\) −2.10609e6 317443.i −0.588036 0.0886321i
\(154\) −1.22794e6 + 837198.i −0.336214 + 0.229227i
\(155\) 1.79693e6 5.82550e6i 0.482543 1.56437i
\(156\) 2.38439e6 544221.i 0.628063 0.143351i
\(157\) 2.93534e6 1.15204e6i 0.758507 0.297692i 0.0456084 0.998959i \(-0.485477\pi\)
0.712898 + 0.701267i \(0.247382\pi\)
\(158\) −763491. 57215.7i −0.193567 0.0145059i
\(159\) −2.90659e6 + 3.13255e6i −0.723089 + 0.779304i
\(160\) 4.97112e6 + 3.38926e6i 1.21365 + 0.827455i
\(161\) −1.64617e6 + 1.31277e6i −0.394454 + 0.314567i
\(162\) −947203. 1.02084e6i −0.222791 0.240112i
\(163\) −645034. 4.27952e6i −0.148943 0.988171i −0.931014 0.364982i \(-0.881075\pi\)
0.782072 0.623189i \(-0.214163\pi\)
\(164\) 1.13147e6 4.95728e6i 0.256513 1.12386i
\(165\) −9.78374e6 + 1.69459e7i −2.17798 + 3.77237i
\(166\) −773502. + 446581.i −0.169097 + 0.0976284i
\(167\) −6.34597e6 + 1.95747e6i −1.36254 + 0.420288i −0.887958 0.459924i \(-0.847877\pi\)
−0.474581 + 0.880212i \(0.657400\pi\)
\(168\) 2.31619e6 + 1.84710e6i 0.488479 + 0.389549i
\(169\) −265872. 3.54781e6i −0.0550823 0.735023i
\(170\) 1.59726e6 769198.i 0.325108 0.156564i
\(171\) 865690.i 0.173131i
\(172\) 4.61312e6 174387.i 0.906586 0.0342711i
\(173\) 6.25105e6 1.20730 0.603649 0.797250i \(-0.293713\pi\)
0.603649 + 0.797250i \(0.293713\pi\)
\(174\) 305574. + 634532.i 0.0580055 + 0.120450i
\(175\) 9.72695e6 728934.i 1.81494 0.136011i
\(176\) −4.27030e6 + 5.35478e6i −0.783285 + 0.982209i
\(177\) 1.68579e6 + 5.46521e6i 0.304008 + 0.985569i
\(178\) −182693. 316433.i −0.0323937 0.0561076i
\(179\) −1.29076e6 745219.i −0.225053 0.129935i 0.383235 0.923651i \(-0.374810\pi\)
−0.608288 + 0.793716i \(0.708143\pi\)
\(180\) 8.65680e6 + 1.97586e6i 1.48436 + 0.338796i
\(181\) 5.78054e6 871276.i 0.974839 0.146933i 0.357742 0.933820i \(-0.383547\pi\)
0.617097 + 0.786887i \(0.288309\pi\)
\(182\) −536023. + 497356.i −0.0889137 + 0.0824999i
\(183\) −4.86782e6 6.10405e6i −0.794294 0.996013i
\(184\) 1.32422e6 1.94228e6i 0.212573 0.311787i
\(185\) −1.66291e7 1.54295e7i −2.62635 2.43690i
\(186\) −181598. + 2.42326e6i −0.0282211 + 0.376584i
\(187\) 2.66279e6 + 6.78467e6i 0.407204 + 1.03754i
\(188\) 973501. + 4.26519e6i 0.146509 + 0.641896i
\(189\) −570287. 175910.i −0.0844711 0.0260559i
\(190\) 405907. + 595357.i 0.0591788 + 0.0867993i
\(191\) 500705. 3.32196e6i 0.0718590 0.476754i −0.923739 0.383024i \(-0.874883\pi\)
0.995598 0.0937301i \(-0.0298791\pi\)
\(192\) 4.43103e6 + 1.73905e6i 0.626038 + 0.245702i
\(193\) −7.75173e6 3.73303e6i −1.07827 0.519266i −0.191505 0.981492i \(-0.561337\pi\)
−0.886762 + 0.462225i \(0.847051\pi\)
\(194\) −478652. + 993932.i −0.0655564 + 0.136129i
\(195\) −3.51730e6 + 8.96192e6i −0.474357 + 1.20864i
\(196\) −2.68029e6 403989.i −0.355970 0.0536539i
\(197\) 2.34978e6 1.60205e6i 0.307346 0.209545i −0.399818 0.916595i \(-0.630927\pi\)
0.707164 + 0.707049i \(0.249974\pi\)
\(198\) 1.10025e6 3.56692e6i 0.141741 0.459513i
\(199\) 2.77924e6 634344.i 0.352669 0.0804943i −0.0425166 0.999096i \(-0.513538\pi\)
0.395185 + 0.918601i \(0.370680\pi\)
\(200\) −1.01374e7 + 3.97865e6i −1.26718 + 0.497332i
\(201\) 7.85732e6 + 588825.i 0.967579 + 0.0725100i
\(202\) 1.42725e6 1.53821e6i 0.173159 0.186621i
\(203\) 1.70146e6 + 1.16004e6i 0.203392 + 0.138670i
\(204\) 5.40324e6 4.30894e6i 0.636449 0.507551i
\(205\) 1.36143e7 + 1.46727e7i 1.58028 + 1.70314i
\(206\) 149430. + 991405.i 0.0170937 + 0.113410i
\(207\) 1.17676e6 5.15573e6i 0.132671 0.581271i
\(208\) −1.68490e6 + 2.91833e6i −0.187234 + 0.324298i
\(209\) −2.56552e6 + 1.48120e6i −0.281020 + 0.162247i
\(210\) −5.30084e6 + 1.63509e6i −0.572383 + 0.176557i
\(211\) −1.32627e7 1.05767e7i −1.41184 1.12590i −0.973921 0.226889i \(-0.927145\pi\)
−0.437918 0.899015i \(-0.644284\pi\)
\(212\) −495897. 6.61729e6i −0.0520456 0.694501i
\(213\) 2.17298e7 1.04645e7i 2.24863 1.08288i
\(214\) 4.54186e6i 0.463439i
\(215\) −9.66234e6 + 1.53907e7i −0.972225 + 1.54861i
\(216\) 666307. 0.0661170
\(217\) 3.08292e6 + 6.40175e6i 0.301706 + 0.626498i
\(218\) 3.69468e6 276878.i 0.356621 0.0267251i
\(219\) 1.14352e6 1.43393e6i 0.108871 0.136520i
\(220\) −8.95630e6 2.90356e7i −0.841125 2.72686i
\(221\) 1.79301e6 + 3.10559e6i 0.166114 + 0.287718i
\(222\) 7.83088e6 + 4.52116e6i 0.715734 + 0.413229i
\(223\) −8.05251e6 1.83793e6i −0.726134 0.165735i −0.156552 0.987670i \(-0.550038\pi\)
−0.569582 + 0.821934i \(0.692895\pi\)
\(224\) −6.93411e6 + 1.04515e6i −0.616945 + 0.0929895i
\(225\) −1.79591e7 + 1.66636e7i −1.57665 + 1.46292i
\(226\) −3.99609e6 5.01094e6i −0.346187 0.434104i
\(227\) 1.23628e7 1.81330e7i 1.05692 1.55021i 0.242309 0.970199i \(-0.422095\pi\)
0.814608 0.580012i \(-0.196952\pi\)
\(228\) 2.05912e6 + 1.91059e6i 0.173731 + 0.161199i
\(229\) −516248. + 6.88885e6i −0.0429885 + 0.573642i 0.933571 + 0.358393i \(0.116675\pi\)
−0.976559 + 0.215249i \(0.930944\pi\)
\(230\) 1.60814e6 + 4.09748e6i 0.132173 + 0.336770i
\(231\) −5.07488e6 2.22345e7i −0.411708 1.80381i
\(232\) −2.19697e6 677676.i −0.175938 0.0542698i
\(233\) −3.90565e6 5.72854e6i −0.308763 0.452873i 0.640223 0.768189i \(-0.278842\pi\)
−0.948987 + 0.315316i \(0.897889\pi\)
\(234\) 273725. 1.81605e6i 0.0213632 0.141736i
\(235\) −1.60311e7 6.29173e6i −1.23526 0.484804i
\(236\) −8.00175e6 3.85344e6i −0.608764 0.293165i
\(237\) 5.09771e6 1.05855e7i 0.382939 0.795181i
\(238\) −754889. + 1.92342e6i −0.0559954 + 0.142674i
\(239\) 1.56403e7 + 2.35739e6i 1.14565 + 0.172678i 0.694311 0.719675i \(-0.255709\pi\)
0.451336 + 0.892354i \(0.350948\pi\)
\(240\) −2.11224e7 + 1.44010e7i −1.52795 + 1.04174i
\(241\) −6.52223e6 + 2.11445e7i −0.465956 + 1.51059i 0.352383 + 0.935856i \(0.385371\pi\)
−0.818339 + 0.574736i \(0.805105\pi\)
\(242\) −8.24493e6 + 1.88185e6i −0.581756 + 0.132782i
\(243\) 1.83725e7 7.21069e6i 1.28041 0.502525i
\(244\) 1.20899e7 + 906010.i 0.832246 + 0.0623682i
\(245\) 7.25747e6 7.82169e6i 0.493500 0.531866i
\(246\) −6.59218e6 4.49447e6i −0.442816 0.301907i
\(247\) −1.13955e6 + 908761.i −0.0756210 + 0.0603058i
\(248\) −5.39576e6 5.81525e6i −0.353751 0.381253i
\(249\) −2.04278e6 1.35530e7i −0.132319 0.877882i
\(250\) 2.60130e6 1.13970e7i 0.166483 0.729410i
\(251\) 4.17529e6 7.23181e6i 0.264037 0.457326i −0.703274 0.710919i \(-0.748279\pi\)
0.967311 + 0.253593i \(0.0816125\pi\)
\(252\) −8.96262e6 + 5.17457e6i −0.560059 + 0.323350i
\(253\) −1.72927e7 + 5.33410e6i −1.06783 + 0.329382i
\(254\) 1.50262e6 + 1.19830e6i 0.0916956 + 0.0731248i
\(255\) 2.03302e6 + 2.71288e7i 0.122609 + 1.63610i
\(256\) −2.96127e6 + 1.42607e6i −0.176506 + 0.0850007i
\(257\) 2.01103e6i 0.118473i −0.998244 0.0592364i \(-0.981133\pi\)
0.998244 0.0592364i \(-0.0188666\pi\)
\(258\) 2.38980e6 6.83808e6i 0.139156 0.398176i
\(259\) 2.64395e7 1.52179
\(260\) −6.48659e6 1.34695e7i −0.369059 0.766360i
\(261\) −5.15771e6 + 386517.i −0.290092 + 0.0217394i
\(262\) 3.89330e6 4.88205e6i 0.216478 0.271455i
\(263\) 2.26889e6 + 7.35557e6i 0.124723 + 0.404342i 0.996303 0.0859116i \(-0.0273803\pi\)
−0.871580 + 0.490254i \(0.836904\pi\)
\(264\) 1.27312e7 + 2.20511e7i 0.691922 + 1.19844i
\(265\) 2.26221e7 + 1.30609e7i 1.21561 + 0.701834i
\(266\) −818773. 186880.i −0.0435030 0.00992927i
\(267\) 5.54440e6 835684.i 0.291287 0.0439044i
\(268\) −8.96928e6 + 8.32228e6i −0.465965 + 0.432352i
\(269\) 1.36423e7 + 1.71070e7i 0.700861 + 0.878852i 0.997088 0.0762655i \(-0.0242996\pi\)
−0.296226 + 0.955118i \(0.595728\pi\)
\(270\) −702831. + 1.03086e6i −0.0357075 + 0.0523733i
\(271\) −2.74796e6 2.54973e6i −0.138071 0.128111i 0.608114 0.793849i \(-0.291926\pi\)
−0.746185 + 0.665738i \(0.768117\pi\)
\(272\) −711599. + 9.49563e6i −0.0353614 + 0.471864i
\(273\) −4.09948e6 1.04453e7i −0.201484 0.513373i
\(274\) 2.45462e6 + 1.07544e7i 0.119325 + 0.522798i
\(275\) 8.01116e7 + 2.47112e7i 3.85210 + 1.18822i
\(276\) 9.66624e6 + 1.41778e7i 0.459759 + 0.674343i
\(277\) −2.11196e6 + 1.40119e7i −0.0993679 + 0.659263i 0.882587 + 0.470149i \(0.155800\pi\)
−0.981955 + 0.189114i \(0.939438\pi\)
\(278\) −4.83820e6 1.89885e6i −0.225190 0.0883806i
\(279\) −1.60789e7 7.74317e6i −0.740360 0.356538i
\(280\) 7.85727e6 1.63158e7i 0.357930 0.743249i
\(281\) 6.90725e6 1.75994e7i 0.311305 0.793192i −0.686510 0.727120i \(-0.740858\pi\)
0.997815 0.0660717i \(-0.0210466\pi\)
\(282\) 6.78798e6 + 1.02312e6i 0.302686 + 0.0456226i
\(283\) −3.43076e7 + 2.33905e7i −1.51367 + 1.03200i −0.530844 + 0.847469i \(0.678125\pi\)
−0.982826 + 0.184534i \(0.940923\pi\)
\(284\) −1.10393e7 + 3.57884e7i −0.481932 + 1.56238i
\(285\) −1.07802e7 + 2.46050e6i −0.465684 + 0.106289i
\(286\) −5.85030e6 + 2.29607e6i −0.250081 + 0.0981494i
\(287\) −2.32638e7 1.74338e6i −0.984088 0.0737472i
\(288\) 1.19797e7 1.29110e7i 0.501495 0.540484i
\(289\) −1.15709e7 7.88890e6i −0.479373 0.326831i
\(290\) 3.36585e6 2.68418e6i 0.138007 0.110057i
\(291\) −1.15146e7 1.24098e7i −0.467271 0.503598i
\(292\) 424480. + 2.81624e6i 0.0170494 + 0.113115i
\(293\) −403759. + 1.76898e6i −0.0160516 + 0.0703268i −0.982319 0.187213i \(-0.940055\pi\)
0.966268 + 0.257540i \(0.0829118\pi\)
\(294\) −2.12659e6 + 3.68335e6i −0.0836837 + 0.144944i
\(295\) 3.02769e7 1.74804e7i 1.17936 0.680903i
\(296\) −2.82073e7 + 8.70079e6i −1.08764 + 0.335493i
\(297\) −4.01035e6 3.19815e6i −0.153078 0.122076i
\(298\) −29682.8 396089.i −0.00112165 0.0149673i
\(299\) −8.02204e6 + 3.86321e6i −0.300104 + 0.144522i
\(300\) 7.94940e7i 2.94422i
\(301\) −3.94564e6 2.08094e7i −0.144683 0.763063i
\(302\) 2.83585e6 0.102959
\(303\) 1.39712e7 + 2.90116e7i 0.502235 + 1.04290i
\(304\) −3.85950e6 + 289229.i −0.137376 + 0.0102949i
\(305\) −2.97559e7 + 3.73127e7i −1.04875 + 1.31509i
\(306\) −1.52969e6 4.95912e6i −0.0533873 0.173077i
\(307\) −6.78188e6 1.17466e7i −0.234388 0.405972i 0.724707 0.689057i \(-0.241975\pi\)
−0.959095 + 0.283086i \(0.908642\pi\)
\(308\) 3.06703e7 + 1.77075e7i 1.04970 + 0.606045i
\(309\) −1.49997e7 3.42359e6i −0.508403 0.116040i
\(310\) 1.46885e7 2.21393e6i 0.493051 0.0743154i
\(311\) 2.71859e7 2.52248e7i 0.903779 0.838584i −0.0836747 0.996493i \(-0.526666\pi\)
0.987454 + 0.157909i \(0.0504752\pi\)
\(312\) 7.81095e6 + 9.79462e6i 0.257182 + 0.322496i
\(313\) −3.92607e6 + 5.75848e6i −0.128034 + 0.187791i −0.884903 0.465775i \(-0.845776\pi\)
0.756869 + 0.653566i \(0.226728\pi\)
\(314\) 5.63232e6 + 5.22603e6i 0.181928 + 0.168804i
\(315\) 3.04443e6 4.06251e7i 0.0974034 1.29976i
\(316\) 6.66549e6 + 1.69834e7i 0.211237 + 0.538224i
\(317\) −3.15787e6 1.38355e7i −0.0991327 0.434329i −1.00000 0.000234098i \(-0.999925\pi\)
0.900867 0.434095i \(-0.142932\pi\)
\(318\) −9.94976e6 3.06910e6i −0.309408 0.0954397i
\(319\) 9.97035e6 + 1.46238e7i 0.307141 + 0.450494i
\(320\) 4.33672e6 2.87723e7i 0.132346 0.878059i
\(321\) −6.48793e7 2.54633e7i −1.96151 0.769837i
\(322\) −4.62228e6 2.22597e6i −0.138448 0.0666733i
\(323\) −1.78702e6 + 3.71079e6i −0.0530301 + 0.110118i
\(324\) −1.21237e7 + 3.08908e7i −0.356452 + 0.908225i
\(325\) 4.07877e7 + 6.14776e6i 1.18817 + 0.179088i
\(326\) 8.71292e6 5.94037e6i 0.251484 0.171459i
\(327\) −1.67585e7 + 5.43298e7i −0.479283 + 1.55380i
\(328\) 2.53929e7 5.79577e6i 0.719600 0.164244i
\(329\) 1.86845e7 7.33313e6i 0.524679 0.205921i
\(330\) −4.75449e7 3.56300e6i −1.32301 0.0991457i
\(331\) 1.71719e7 1.85069e7i 0.473515 0.510328i −0.450452 0.892801i \(-0.648737\pi\)
0.923967 + 0.382473i \(0.124928\pi\)
\(332\) 1.75853e7 + 1.19895e7i 0.480547 + 0.327631i
\(333\) −5.19185e7 + 4.14037e7i −1.40601 + 1.12126i
\(334\) −1.10062e7 1.18619e7i −0.295393 0.318357i
\(335\) −7.17858e6 4.76267e7i −0.190943 1.26682i
\(336\) 6.63021e6 2.90488e7i 0.174787 0.765792i
\(337\) −8.66934e6 + 1.50157e7i −0.226515 + 0.392335i −0.956773 0.290837i \(-0.906066\pi\)
0.730258 + 0.683171i \(0.239400\pi\)
\(338\) 7.50745e6 4.33443e6i 0.194421 0.112249i
\(339\) 9.39835e7 2.89901e7i 2.41242 0.744132i
\(340\) −3.30287e7 2.63395e7i −0.840341 0.670149i
\(341\) 4.56377e6 + 6.08992e7i 0.115096 + 1.53585i
\(342\) 1.90045e6 915211.i 0.0475094 0.0228793i
\(343\) 4.37771e7i 1.08484i
\(344\) 1.10575e7 + 2.09023e7i 0.271632 + 0.513476i
\(345\) −6.75473e7 −1.64494
\(346\) 6.60863e6 + 1.37230e7i 0.159545 + 0.331298i
\(347\) −2.29224e7 + 1.71780e6i −0.548621 + 0.0411134i −0.346157 0.938176i \(-0.612514\pi\)
−0.202463 + 0.979290i \(0.564895\pi\)
\(348\) 1.04637e7 1.31211e7i 0.248284 0.311339i
\(349\) 6.06541e6 + 1.96636e7i 0.142687 + 0.462579i 0.998503 0.0547012i \(-0.0174206\pi\)
−0.855816 + 0.517280i \(0.826944\pi\)
\(350\) 1.18836e7 + 2.05830e7i 0.277169 + 0.480070i
\(351\) −2.18562e6 1.26187e6i −0.0505421 0.0291805i
\(352\) −5.87598e7 1.34115e7i −1.34726 0.307504i
\(353\) 2.81371e7 4.24098e6i 0.639668 0.0964144i 0.178803 0.983885i \(-0.442777\pi\)
0.460865 + 0.887470i \(0.347539\pi\)
\(354\) −1.02156e7 + 9.47867e6i −0.230278 + 0.213667i
\(355\) −9.19209e7 1.15265e8i −2.05461 2.57640i
\(356\) −4.90479e6 + 7.19400e6i −0.108710 + 0.159448i
\(357\) −2.32435e7 2.15668e7i −0.510853 0.474002i
\(358\) 271391. 3.62145e6i 0.00591487 0.0789285i
\(359\) −6.03801e6 1.53846e7i −0.130500 0.332509i 0.850657 0.525721i \(-0.176205\pi\)
−0.981157 + 0.193213i \(0.938109\pi\)
\(360\) 1.01211e7 + 4.43432e7i 0.216929 + 0.950430i
\(361\) 4.33561e7 + 1.33736e7i 0.921571 + 0.284267i
\(362\) 8.02393e6 + 1.17689e7i 0.169146 + 0.248091i
\(363\) 1.93422e7 1.28327e8i 0.404376 2.68286i
\(364\) 1.62201e7 + 6.36591e6i 0.336317 + 0.131995i
\(365\) −1.01010e7 4.86438e6i −0.207723 0.100034i
\(366\) 8.25398e6 1.71396e7i 0.168353 0.349588i
\(367\) 7.98265e6 2.03395e7i 0.161491 0.411473i −0.827108 0.562043i \(-0.810016\pi\)
0.988599 + 0.150570i \(0.0481108\pi\)
\(368\) −2.33789e7 3.52380e6i −0.469116 0.0707078i
\(369\) 4.84126e7 3.30071e7i 0.963560 0.656944i
\(370\) 1.62922e7 5.28180e7i 0.321643 1.04274i
\(371\) −2.96821e7 + 6.77474e6i −0.581263 + 0.132669i
\(372\) 5.39040e7 2.11558e7i 1.04711 0.410961i
\(373\) −3.40556e7 2.55211e6i −0.656239 0.0491783i −0.257551 0.966265i \(-0.582915\pi\)
−0.398688 + 0.917087i \(0.630534\pi\)
\(374\) −1.20793e7 + 1.30184e7i −0.230902 + 0.248853i
\(375\) 1.48220e8 + 1.01055e8i 2.81069 + 1.91629i
\(376\) −1.75206e7 + 1.39722e7i −0.329598 + 0.262846i
\(377\) 5.92311e6 + 6.38359e6i 0.110542 + 0.119135i
\(378\) −216733. 1.43793e6i −0.00401282 0.0266233i
\(379\) 1.65205e7 7.23810e7i 0.303463 1.32956i −0.561398 0.827546i \(-0.689736\pi\)
0.864861 0.502011i \(-0.167406\pi\)
\(380\) 8.58530e6 1.48702e7i 0.156461 0.270998i
\(381\) −2.55416e7 + 1.47465e7i −0.461821 + 0.266632i
\(382\) 7.82206e6 2.41279e6i 0.140324 0.0432841i
\(383\) 1.98828e7 + 1.58560e7i 0.353900 + 0.282226i 0.784261 0.620431i \(-0.213042\pi\)
−0.430361 + 0.902657i \(0.641614\pi\)
\(384\) 5.57421e6 + 7.43826e7i 0.0984441 + 1.31364i
\(385\) −1.25604e8 + 6.04876e7i −2.20100 + 1.05995i
\(386\) 2.09640e7i 0.364512i
\(387\) 4.03351e7 + 3.46842e7i 0.695905 + 0.598409i
\(388\) 2.62882e7 0.450055
\(389\) 1.01383e7 + 2.10523e7i 0.172232 + 0.357644i 0.969161 0.246430i \(-0.0792575\pi\)
−0.796928 + 0.604074i \(0.793543\pi\)
\(390\) −2.33927e7 + 1.75304e6i −0.394353 + 0.0295527i
\(391\) −1.56870e7 + 1.96709e7i −0.262428 + 0.329074i
\(392\) −4.09253e6 1.32676e7i −0.0679412 0.220260i
\(393\) 4.79116e7 + 8.29853e7i 0.789337 + 1.36717i
\(394\) 6.00119e6 + 3.46479e6i 0.0981179 + 0.0566484i
\(395\) −7.00184e7 1.59812e7i −1.13611 0.259310i
\(396\) −8.79560e7 + 1.32572e7i −1.41638 + 0.213485i
\(397\) 1.36436e7 1.26594e7i 0.218051 0.202322i −0.563582 0.826060i \(-0.690577\pi\)
0.781633 + 0.623738i \(0.214387\pi\)
\(398\) 4.33080e6 + 5.43065e6i 0.0686940 + 0.0861396i
\(399\) 7.25985e6 1.06483e7i 0.114290 0.167633i
\(400\) 8.02913e7 + 7.44994e7i 1.25455 + 1.16405i
\(401\) −7.70249e6 + 1.02783e8i −0.119453 + 1.59399i 0.539616 + 0.841911i \(0.318570\pi\)
−0.659069 + 0.752082i \(0.729050\pi\)
\(402\) 7.01414e6 + 1.78717e7i 0.107968 + 0.275099i
\(403\) 6.68612e6 + 2.92938e7i 0.102155 + 0.447570i
\(404\) −4.77812e7 1.47386e7i −0.724625 0.223517i
\(405\) −7.35866e7 1.07932e8i −1.10773 1.62474i
\(406\) −747844. + 4.96162e6i −0.0111746 + 0.0741387i
\(407\) 2.11535e8 + 8.30214e7i 3.13761 + 1.23142i
\(408\) 3.18948e7 + 1.53597e7i 0.469613 + 0.226154i
\(409\) 1.45619e7 3.02381e7i 0.212837 0.441962i −0.767030 0.641611i \(-0.778266\pi\)
0.979867 + 0.199650i \(0.0639805\pi\)
\(410\) −1.78180e7 + 4.53996e7i −0.258528 + 0.658720i
\(411\) −1.67385e8 2.52292e7i −2.41096 0.363394i
\(412\) 1.97401e7 1.34586e7i 0.282265 0.192445i
\(413\) −1.20105e7 + 3.89372e7i −0.170495 + 0.552732i
\(414\) 1.25625e7 2.86730e6i 0.177041 0.0404085i
\(415\) −7.79904e7 + 3.06090e7i −1.09118 + 0.428257i
\(416\) −2.95711e7 2.21604e6i −0.410759 0.0307821i
\(417\) 5.42492e7 5.84668e7i 0.748145 0.806308i
\(418\) −5.96397e6 4.06617e6i −0.0816595 0.0556745i
\(419\) −4.33027e7 + 3.45328e7i −0.588672 + 0.469450i −0.871955 0.489586i \(-0.837148\pi\)
0.283283 + 0.959036i \(0.408576\pi\)
\(420\) 8.99113e7 + 9.69014e7i 1.21357 + 1.30792i
\(421\) 2.60574e6 + 1.72880e7i 0.0349209 + 0.231685i 0.999482 0.0321735i \(-0.0102429\pi\)
−0.964561 + 0.263858i \(0.915005\pi\)
\(422\) 9.19762e6 4.02974e7i 0.122388 0.536216i
\(423\) −2.52068e7 + 4.36594e7i −0.333040 + 0.576842i
\(424\) 2.94372e7 1.69956e7i 0.386188 0.222966i
\(425\) 1.11380e8 3.43562e7i 1.45091 0.447546i
\(426\) 4.59457e7 + 3.66405e7i 0.594314 + 0.473950i
\(427\) −4.15679e6 5.54685e7i −0.0533918 0.712464i
\(428\) 9.75120e7 4.69593e7i 1.24373 0.598949i
\(429\) 9.64426e7i 1.22151i
\(430\) −4.40022e7 4.94073e6i −0.553439 0.0621421i
\(431\) 5.02066e7 0.627088 0.313544 0.949574i \(-0.398484\pi\)
0.313544 + 0.949574i \(0.398484\pi\)
\(432\) −2.90766e6 6.03782e6i −0.0360656 0.0748909i
\(433\) 118515. 8881.46i 0.00145985 0.000109401i −0.0740001 0.997258i \(-0.523577\pi\)
0.0754600 + 0.997149i \(0.475957\pi\)
\(434\) −1.07945e7 + 1.35359e7i −0.132049 + 0.165584i
\(435\) 1.94726e7 + 6.31287e7i 0.236569 + 0.766936i
\(436\) −4.41445e7 7.64605e7i −0.532620 0.922524i
\(437\) −8.85622e6 5.11314e6i −0.106122 0.0612694i
\(438\) 4.35686e6 + 994424.i 0.0518503 + 0.0118345i
\(439\) −7.21001e6 + 1.08673e6i −0.0852201 + 0.0128449i −0.191514 0.981490i \(-0.561340\pi\)
0.106294 + 0.994335i \(0.466102\pi\)
\(440\) 1.14096e8 1.05866e8i 1.33941 1.24279i
\(441\) −1.94747e7 2.44205e7i −0.227068 0.284734i
\(442\) −4.92214e6 + 7.21945e6i −0.0570016 + 0.0836060i
\(443\) −1.78680e7 1.65791e7i −0.205525 0.190699i 0.570694 0.821163i \(-0.306674\pi\)
−0.776219 + 0.630464i \(0.782865\pi\)
\(444\) 1.61024e7 2.14871e8i 0.183967 2.45487i
\(445\) −1.25219e7 3.19052e7i −0.142098 0.362061i
\(446\) −4.47832e6 1.96208e7i −0.0504790 0.221163i
\(447\) 5.82445e6 + 1.79660e6i 0.0652127 + 0.0201155i
\(448\) 1.91041e7 + 2.80206e7i 0.212468 + 0.311633i
\(449\) −1.04870e7 + 6.95769e7i −0.115855 + 0.768645i 0.853161 + 0.521647i \(0.174682\pi\)
−0.969016 + 0.246998i \(0.920556\pi\)
\(450\) −5.55681e7 2.18089e7i −0.609801 0.239329i
\(451\) −1.80653e8 8.69978e7i −1.96931 0.948372i
\(452\) −6.62664e7 + 1.37604e8i −0.717593 + 1.49010i
\(453\) −1.58988e7 + 4.05094e7i −0.171029 + 0.435774i
\(454\) 5.28774e7 + 7.96999e6i 0.565070 + 0.0851707i
\(455\) −5.66727e7 + 3.86388e7i −0.601644 + 0.410194i
\(456\) −4.24110e6 + 1.37493e7i −0.0447285 + 0.145006i
\(457\) −1.27054e8 + 2.89992e7i −1.33119 + 0.303835i −0.828187 0.560452i \(-0.810627\pi\)
−0.503000 + 0.864287i \(0.667770\pi\)
\(458\) −1.56689e7 + 6.14960e6i −0.163096 + 0.0640104i
\(459\) −7.11155e6 532937.i −0.0735404 0.00551109i
\(460\) 7.13444e7 7.68909e7i 0.732970 0.789954i
\(461\) −1.40054e8 9.54873e7i −1.42953 0.974637i −0.997343 0.0728524i \(-0.976790\pi\)
−0.432187 0.901784i \(-0.642258\pi\)
\(462\) 4.34463e7 3.46473e7i 0.440582 0.351353i
\(463\) −1.26885e7 1.36750e7i −0.127840 0.137779i 0.665887 0.746052i \(-0.268053\pi\)
−0.793728 + 0.608273i \(0.791863\pi\)
\(464\) 3.44641e6 + 2.28654e7i 0.0344995 + 0.228889i
\(465\) −5.07233e7 + 2.22233e8i −0.504485 + 2.21029i
\(466\) 8.44682e6 1.46303e7i 0.0834710 0.144576i
\(467\) 6.23854e7 3.60182e7i 0.612537 0.353648i −0.161421 0.986886i \(-0.551608\pi\)
0.773958 + 0.633237i \(0.218274\pi\)
\(468\) −4.18199e7 + 1.28997e7i −0.407986 + 0.125847i
\(469\) 4.38896e7 + 3.50008e7i 0.425445 + 0.339281i
\(470\) −3.13583e6 4.18447e7i −0.0302036 0.403039i
\(471\) −1.06229e8 + 5.11573e7i −1.01667 + 0.489604i
\(472\) 4.54931e7i 0.432633i
\(473\) 3.37747e7 1.78880e8i 0.319160 1.69036i
\(474\) 2.86277e7 0.268814
\(475\) 2.05553e7 + 4.26835e7i 0.191797 + 0.398271i
\(476\) 4.91001e7 3.67954e6i 0.455262 0.0341172i
\(477\) 4.76768e7 5.97849e7i 0.439291 0.550854i
\(478\) 1.13598e7 + 3.68274e7i 0.104012 + 0.337200i
\(479\) −6.61636e7 1.14599e8i −0.602022 1.04273i −0.992514 0.122127i \(-0.961028\pi\)
0.390492 0.920606i \(-0.372305\pi\)
\(480\) −1.94826e8 1.12483e8i −1.76166 1.01710i
\(481\) 1.09003e8 + 2.48793e7i 0.979500 + 0.223564i
\(482\) −5.33140e7 + 8.03580e6i −0.476103 + 0.0717609i
\(483\) 5.77115e7 5.35484e7i 0.512178 0.475232i
\(484\) 1.25649e8 + 1.57558e8i 1.10821 + 1.38965i
\(485\) −5.82937e7 + 8.55012e7i −0.510971 + 0.749457i
\(486\) 3.52532e7 + 3.27102e7i 0.307107 + 0.284953i
\(487\) −3.67800e6 + 4.90795e7i −0.0318438 + 0.424926i 0.958386 + 0.285477i \(0.0921520\pi\)
−0.990229 + 0.139449i \(0.955467\pi\)
\(488\) 2.26885e7 + 5.78094e7i 0.195230 + 0.497438i
\(489\) 3.60090e7 + 1.57766e8i 0.307953 + 1.34923i
\(490\) 2.48436e7 + 7.66324e6i 0.211167 + 0.0651365i
\(491\) −8.61348e7 1.26337e8i −0.727670 1.06730i −0.994621 0.103585i \(-0.966969\pi\)
0.266951 0.963710i \(-0.413984\pi\)
\(492\) −2.83365e7 + 1.88001e8i −0.237931 + 1.57857i
\(493\) 2.29064e7 + 8.99011e6i 0.191169 + 0.0750282i
\(494\) −3.19974e6 1.54092e6i −0.0265420 0.0127820i
\(495\) 1.51923e8 3.15471e8i 1.25258 2.60102i
\(496\) −2.91493e7 + 7.42712e7i −0.238882 + 0.608661i
\(497\) 1.69913e8 + 2.56103e7i 1.38407 + 0.208615i
\(498\) 2.75932e7 1.88128e7i 0.223416 0.152323i
\(499\) 3.57842e7 1.16009e8i 0.287998 0.933666i −0.689779 0.724020i \(-0.742292\pi\)
0.977777 0.209647i \(-0.0672314\pi\)
\(500\) −2.71585e8 + 6.19875e7i −2.17268 + 0.495900i
\(501\) 2.31149e8 9.07193e7i 1.83814 0.721417i
\(502\) 2.02902e7 + 1.52054e6i 0.160389 + 0.0120195i
\(503\) −4.61366e7 + 4.97234e7i −0.362528 + 0.390712i −0.887805 0.460219i \(-0.847771\pi\)
0.525278 + 0.850931i \(0.323961\pi\)
\(504\) −4.38006e7 2.98627e7i −0.342128 0.233259i
\(505\) 1.53891e8 1.22724e8i 1.19492 0.952916i
\(506\) −2.99919e7 3.23236e7i −0.231501 0.249499i
\(507\) 1.98268e7 + 1.31542e8i 0.152135 + 1.00935i
\(508\) 1.01911e7 4.46501e7i 0.0777374 0.340590i
\(509\) 2.54250e7 4.40374e7i 0.192800 0.333940i −0.753377 0.657589i \(-0.771576\pi\)
0.946177 + 0.323649i \(0.104910\pi\)
\(510\) −5.74067e7 + 3.31437e7i −0.432765 + 0.249857i
\(511\) 1.24864e7 3.85154e6i 0.0935782 0.0288650i
\(512\) −1.06081e8 8.45964e7i −0.790362 0.630292i
\(513\) −216612. 2.89049e6i −0.00160447 0.0214101i
\(514\) 4.41482e6 2.12607e6i 0.0325105 0.0156562i
\(515\) 9.40479e7i 0.688537i
\(516\) −1.71519e8 + 1.93924e7i −1.24843 + 0.141150i
\(517\) 1.72516e8 1.24841
\(518\) 2.79519e7 + 5.80427e7i 0.201105 + 0.417598i
\(519\) −2.33079e8 + 1.74669e7i −1.66725 + 0.124943i
\(520\) 4.77466e7 5.98723e7i 0.339572 0.425810i
\(521\) −1.91536e7 6.20945e7i −0.135437 0.439077i 0.862293 0.506409i \(-0.169027\pi\)
−0.997731 + 0.0673324i \(0.978551\pi\)
\(522\) −6.30127e6 1.09141e7i −0.0443013 0.0767321i
\(523\) 1.69252e7 + 9.77179e6i 0.118312 + 0.0683076i 0.557988 0.829849i \(-0.311573\pi\)
−0.439676 + 0.898156i \(0.644907\pi\)
\(524\) −1.45069e8 3.31111e7i −1.00828 0.230133i
\(525\) −3.60646e8 + 5.43587e7i −2.49232 + 0.375657i
\(526\) −1.37490e7 + 1.27572e7i −0.0944746 + 0.0876597i
\(527\) 5.29382e7 + 6.63824e7i 0.361690 + 0.453545i
\(528\) 1.44262e8 2.11593e8i 0.980051 1.43747i
\(529\) 6.27241e7 + 5.81995e7i 0.423709 + 0.393144i
\(530\) −4.75645e6 + 6.34704e7i −0.0319488 + 0.426328i
\(531\) −3.73900e7 9.52682e7i −0.249731 0.636304i
\(532\) 4.45324e6 + 1.95109e7i 0.0295761 + 0.129581i
\(533\) −9.42701e7 2.90785e7i −0.622576 0.192039i
\(534\) 7.69614e6 + 1.12882e7i 0.0505416 + 0.0741309i
\(535\) −6.34985e7 + 4.21285e8i −0.414669 + 2.75115i
\(536\) −5.83423e7 2.28977e7i −0.378869 0.148695i
\(537\) 5.02100e7 + 2.41799e7i 0.324241 + 0.156146i
\(538\) −2.31323e7 + 4.80346e7i −0.148550 + 0.308466i
\(539\) −3.90502e7 + 9.94982e7i −0.249377 + 0.635402i
\(540\) 2.93989e7 + 4.43118e6i 0.186703 + 0.0281409i
\(541\) 2.04598e8 1.39493e8i 1.29214 0.880966i 0.294923 0.955521i \(-0.404706\pi\)
0.997217 + 0.0745547i \(0.0237536\pi\)
\(542\) 2.69229e6 8.72819e6i 0.0169092 0.0548184i
\(543\) −2.13101e8 + 4.86389e7i −1.33103 + 0.303798i
\(544\) −7.80027e7 + 3.06138e7i −0.484522 + 0.190161i
\(545\) 3.46574e8 + 2.59722e7i 2.14095 + 0.160442i
\(546\) 1.85966e7 2.00424e7i 0.114250 0.123132i
\(547\) 5.12938e7 + 3.49715e7i 0.313403 + 0.213674i 0.709797 0.704406i \(-0.248786\pi\)
−0.396395 + 0.918080i \(0.629739\pi\)
\(548\) 2.05513e8 1.63891e8i 1.24882 0.995897i
\(549\) 9.50252e7 + 1.02413e8i 0.574277 + 0.618924i
\(550\) 3.04457e7 + 2.01994e8i 0.182995 + 1.21409i
\(551\) −2.22558e6 + 9.75092e6i −0.0133042 + 0.0582896i
\(552\) −4.39483e7 + 7.61207e7i −0.261291 + 0.452570i
\(553\) 7.24919e7 4.18532e7i 0.428661 0.247488i
\(554\) −3.29932e7 + 1.01771e7i −0.194042 + 0.0598540i
\(555\) 6.63152e8 + 5.28846e8i 3.87913 + 3.09350i
\(556\) 9.25555e6 + 1.23507e8i 0.0538490 + 0.718566i
\(557\) 2.72046e8 1.31011e8i 1.57426 0.758125i 0.576024 0.817433i \(-0.304604\pi\)
0.998240 + 0.0593078i \(0.0188893\pi\)
\(558\) 4.34841e7i 0.250281i
\(559\) 3.31458e6 8.95048e7i 0.0189755 0.512402i
\(560\) −1.82135e8 −1.03712
\(561\) −1.18244e8 2.45536e8i −0.669715 1.39068i
\(562\) 4.59384e7 3.44261e6i 0.258801 0.0193945i
\(563\) 5.59821e7 7.01993e7i 0.313707 0.393376i −0.599833 0.800125i \(-0.704766\pi\)
0.913540 + 0.406749i \(0.133338\pi\)
\(564\) −4.82163e7 1.56313e8i −0.268755 0.871282i
\(565\) −3.00605e8 5.20663e8i −1.66667 2.88676i
\(566\) −8.76195e7 5.05872e7i −0.483227 0.278991i
\(567\) 1.48435e8 + 3.38793e7i 0.814304 + 0.185860i
\(568\) −1.89702e8 + 2.85929e7i −1.03520 + 0.156032i
\(569\) −7.73222e7 + 7.17445e7i −0.419727 + 0.389450i −0.861567 0.507644i \(-0.830517\pi\)
0.441840 + 0.897094i \(0.354326\pi\)
\(570\) −1.67984e7 2.10645e7i −0.0907075 0.113744i
\(571\) −1.30616e8 + 1.91578e8i −0.701595 + 1.02905i 0.295680 + 0.955287i \(0.404454\pi\)
−0.997276 + 0.0737645i \(0.976499\pi\)
\(572\) 1.09783e8 + 1.01864e8i 0.586608 + 0.544293i
\(573\) −9.38716e6 + 1.25263e8i −0.0498965 + 0.665823i
\(574\) −2.07673e7 5.29141e7i −0.109810 0.279793i
\(575\) 6.43985e7 + 2.82148e8i 0.338745 + 1.48414i
\(576\) −8.13939e7 2.51067e7i −0.425916 0.131378i
\(577\) 9.17920e7 + 1.34634e8i 0.477834 + 0.700854i 0.987163 0.159718i \(-0.0510585\pi\)
−0.509328 + 0.860572i \(0.670106\pi\)
\(578\) 5.08576e6 3.37418e7i 0.0263374 0.174737i
\(579\) 2.99465e8 + 1.17531e8i 1.54280 + 0.605506i
\(580\) −9.24284e7 4.45112e7i −0.473720 0.228131i
\(581\) 4.23685e7 8.79791e7i 0.216030 0.448592i
\(582\) 1.50700e7 3.83976e7i 0.0764439 0.194776i
\(583\) −2.58751e8 3.90005e7i −1.30580 0.196818i
\(584\) −1.20538e7 + 8.21813e6i −0.0605181 + 0.0412605i
\(585\) 5.07792e7 1.64622e8i 0.253640 0.822282i
\(586\) −4.31031e6 + 983801.i −0.0214198 + 0.00488894i
\(587\) 1.39827e8 5.48780e7i 0.691316 0.271321i 0.00643780 0.999979i \(-0.497951\pi\)
0.684878 + 0.728658i \(0.259856\pi\)
\(588\) 1.01067e8 + 7.57395e6i 0.497140 + 0.0372555i
\(589\) −2.34728e7 + 2.52977e7i −0.114873 + 0.123804i
\(590\) 7.03837e7 + 4.79868e7i 0.342701 + 0.233650i
\(591\) −8.31383e7 + 6.63006e7i −0.402753 + 0.321185i
\(592\) 2.01936e8 + 2.17635e8i 0.973302 + 1.04897i
\(593\) −3.97713e7 2.63865e8i −0.190724 1.26537i −0.855293 0.518145i \(-0.826623\pi\)
0.664569 0.747227i \(-0.268615\pi\)
\(594\) 2.78115e6 1.21850e7i 0.0132698 0.0581390i
\(595\) −9.69113e7 + 1.67855e8i −0.460069 + 0.796864i
\(596\) −8.19698e6 + 4.73253e6i −0.0387182 + 0.0223540i
\(597\) −1.01855e8 + 3.14182e7i −0.478698 + 0.147659i
\(598\) −1.69619e7 1.35266e7i −0.0793177 0.0632537i
\(599\) −7.54587e6 1.00693e8i −0.0351098 0.468508i −0.986854 0.161615i \(-0.948330\pi\)
0.951744 0.306893i \(-0.0992894\pi\)
\(600\) 3.66872e8 1.76676e8i 1.69848 0.817945i
\(601\) 2.33542e8i 1.07582i 0.843001 + 0.537911i \(0.180787\pi\)
−0.843001 + 0.537911i \(0.819213\pi\)
\(602\) 4.15117e7 3.06617e7i 0.190275 0.140542i
\(603\) −1.40995e8 −0.643062
\(604\) −2.93205e7 6.08845e7i −0.133064 0.276310i
\(605\) −7.91076e8 + 5.92829e7i −3.57233 + 0.267709i
\(606\) −4.89188e7 + 6.13422e7i −0.219815 + 0.275640i
\(607\) 7.62417e7 + 2.47169e8i 0.340899 + 1.10517i 0.950046 + 0.312111i \(0.101036\pi\)
−0.609146 + 0.793058i \(0.708488\pi\)
\(608\) −1.70293e7 2.94955e7i −0.0757679 0.131234i
\(609\) −6.66828e7 3.84993e7i −0.295231 0.170452i
\(610\) −1.13371e8 2.58761e7i −0.499472 0.114001i
\(611\) 8.39319e7 1.26507e7i 0.367962 0.0554614i
\(612\) −9.06546e7 + 8.41152e7i −0.395490 + 0.366961i
\(613\) −1.58683e8 1.98982e8i −0.688889 0.863840i 0.307250 0.951629i \(-0.400591\pi\)
−0.996139 + 0.0877893i \(0.972020\pi\)
\(614\) 1.86175e7 2.73068e7i 0.0804295 0.117968i
\(615\) −5.48628e8 5.09052e8i −2.35859 2.18845i
\(616\) −1.35566e7 + 1.80901e8i −0.0579976 + 0.773925i
\(617\) −1.04313e8 2.65784e8i −0.444100 1.13155i −0.961256 0.275657i \(-0.911104\pi\)
0.517156 0.855891i \(-0.326991\pi\)
\(618\) −8.34194e6 3.65484e7i −0.0353428 0.154847i
\(619\) −2.38019e8 7.34191e7i −1.00355 0.309554i −0.250928 0.968006i \(-0.580736\pi\)
−0.752623 + 0.658451i \(0.771212\pi\)
\(620\) −1.99399e8 2.92465e8i −0.836660 1.22715i
\(621\) 2.63907e6 1.75091e7i 0.0110199 0.0731121i
\(622\) 8.41172e7 + 3.30136e7i 0.349553 + 0.137190i
\(623\) 3.59915e7 + 1.73326e7i 0.148846 + 0.0716802i
\(624\) 5.46694e7 1.13522e8i 0.225004 0.467226i
\(625\) 1.91605e8 4.88201e8i 0.784812 1.99967i
\(626\) −1.67923e7 2.53103e6i −0.0684521 0.0103175i
\(627\) 9.15203e7 6.23975e7i 0.371291 0.253142i
\(628\) 5.39670e7 1.74957e8i 0.217896 0.706401i
\(629\) 3.08018e8 7.03030e7i 1.23772 0.282502i
\(630\) 9.24030e7 3.62655e7i 0.369543 0.145035i
\(631\) 3.58495e7 + 2.68655e6i 0.142690 + 0.0106932i 0.145884 0.989302i \(-0.453397\pi\)
−0.00319339 + 0.999995i \(0.501016\pi\)
\(632\) −6.35657e7 + 6.85075e7i −0.251809 + 0.271386i
\(633\) 5.24073e8 + 3.57307e8i 2.06624 + 1.40874i
\(634\) 2.70347e7 2.15595e7i 0.106085 0.0846000i
\(635\) 1.22624e8 + 1.32157e8i 0.478910 + 0.516142i
\(636\) 3.69805e7 + 2.45349e8i 0.143748 + 0.953704i
\(637\) −1.17023e7 + 5.12711e7i −0.0452744 + 0.198360i
\(638\) −2.15631e7 + 3.73483e7i −0.0830325 + 0.143817i
\(639\) −3.73759e8 + 2.15790e8i −1.43248 + 0.827044i
\(640\) 4.35702e8 1.34396e8i 1.66207 0.512681i
\(641\) 5.38705e7 + 4.29603e7i 0.204539 + 0.163115i 0.720402 0.693556i \(-0.243957\pi\)
−0.515863 + 0.856671i \(0.672529\pi\)
\(642\) −1.26910e7 1.69350e8i −0.0479613 0.640000i
\(643\) −3.12374e8 + 1.50431e8i −1.17501 + 0.565856i −0.916454 0.400140i \(-0.868961\pi\)
−0.258557 + 0.965996i \(0.583247\pi\)
\(644\) 1.22253e8i 0.457723i
\(645\) 3.17269e8 6.00861e8i 1.18236 2.23921i
\(646\) −1.00356e7 −0.0372258
\(647\) −1.63198e7 3.38883e7i −0.0602561 0.125123i 0.868666 0.495398i \(-0.164978\pi\)
−0.928922 + 0.370275i \(0.879263\pi\)
\(648\) −1.69509e8 + 1.27029e7i −0.622969 + 0.0466851i
\(649\) −2.18358e8 + 2.73812e8i −0.798794 + 1.00166i
\(650\) 2.96247e7 + 9.60409e7i 0.107873 + 0.349717i
\(651\) −1.32839e8 2.30084e8i −0.481485 0.833957i
\(652\) −2.17622e8 1.25644e8i −0.785163 0.453314i
\(653\) −2.25351e8 5.14349e7i −0.809319 0.184722i −0.202212 0.979342i \(-0.564813\pi\)
−0.607107 + 0.794620i \(0.707670\pi\)
\(654\) −1.36988e8 + 2.06476e7i −0.489720 + 0.0738135i
\(655\) 4.29381e8 3.98408e8i 1.52799 1.41776i
\(656\) −1.63330e8 2.04809e8i −0.578568 0.725501i
\(657\) −1.84878e7 + 2.71166e7i −0.0651912 + 0.0956179i
\(658\) 3.58518e7 + 3.32656e7i 0.125844 + 0.116766i
\(659\) −6.73909e6 + 8.99269e7i −0.0235475 + 0.314220i 0.972976 + 0.230907i \(0.0741692\pi\)
−0.996523 + 0.0833130i \(0.973450\pi\)
\(660\) 4.15081e8 + 1.05761e9i 1.44378 + 3.67869i
\(661\) −1.08176e7 4.73950e7i −0.0374565 0.164107i 0.952741 0.303785i \(-0.0982505\pi\)
−0.990197 + 0.139678i \(0.955393\pi\)
\(662\) 5.87824e7 + 1.81320e7i 0.202616 + 0.0624987i
\(663\) −7.55328e7 1.10786e8i −0.259176 0.380142i
\(664\) −1.62489e7 + 1.07804e8i −0.0555034 + 0.368241i
\(665\) −7.33334e7 2.87812e7i −0.249366 0.0978688i
\(666\) −1.45782e8 7.02050e7i −0.493494 0.237654i
\(667\) −2.65095e7 + 5.50475e7i −0.0893355 + 0.185507i
\(668\) −1.40874e8 + 3.58942e8i −0.472610 + 1.20419i
\(669\) 3.05385e8 + 4.60294e7i 1.01993 + 0.153729i
\(670\) 9.69660e7 6.61103e7i 0.322400 0.219809i
\(671\) 1.40917e8 4.56841e8i 0.466440 1.51216i
\(672\) 2.55628e8 5.83453e7i 0.842364 0.192264i
\(673\) 1.89937e8 7.45449e7i 0.623111 0.244553i −0.0327157 0.999465i \(-0.510416\pi\)
0.655826 + 0.754912i \(0.272320\pi\)
\(674\) −4.21294e7 3.15716e6i −0.137596 0.0103114i
\(675\) −5.57947e7 + 6.01324e7i −0.181419 + 0.195523i
\(676\) −1.70680e8 1.16367e8i −0.552512 0.376696i
\(677\) 1.70193e8 1.35724e8i 0.548499 0.437413i −0.309623 0.950859i \(-0.600203\pi\)
0.858122 + 0.513446i \(0.171631\pi\)
\(678\) 1.63002e8 + 1.75674e8i 0.523002 + 0.563662i
\(679\) −1.79761e7 1.19264e8i −0.0574230 0.380977i
\(680\) 4.81526e7 2.10970e8i 0.153142 0.670957i
\(681\) −4.10298e8 + 7.10658e8i −1.29915 + 2.25019i
\(682\) −1.28868e8 + 7.44018e7i −0.406247 + 0.234547i
\(683\) −3.77471e8 + 1.16434e8i −1.18474 + 0.365443i −0.823655 0.567092i \(-0.808069\pi\)
−0.361081 + 0.932534i \(0.617592\pi\)
\(684\) −3.92984e7 3.13394e7i −0.122802 0.0979316i
\(685\) 7.73264e7 + 1.03185e9i 0.240578 + 3.21029i
\(686\) −9.61042e7 + 4.62813e7i −0.297694 + 0.143362i
\(687\) 2.58303e8i 0.796635i
\(688\) 1.41156e8 1.91413e8i 0.433445 0.587770i
\(689\) −1.28747e8 −0.393621
\(690\) −7.14112e7 1.48287e8i −0.217380 0.451394i
\(691\) 4.10767e8 3.07827e7i 1.24498 0.0932981i 0.564106 0.825702i \(-0.309221\pi\)
0.680870 + 0.732404i \(0.261602\pi\)
\(692\) 2.26298e8 2.83769e8i 0.682909 0.856341i
\(693\) 1.20290e8 + 3.89971e8i 0.361435 + 1.17174i
\(694\) −2.80048e7 4.85057e7i −0.0837825 0.145116i
\(695\) −4.22224e8 2.43771e8i −1.25773 0.726153i
\(696\) 8.38108e7 + 1.91293e7i 0.248583 + 0.0567376i
\(697\) −2.75657e8 + 4.15485e7i −0.814085 + 0.122704i
\(698\) −3.67552e7 + 3.41038e7i −0.108082 + 0.100285i
\(699\) 1.61635e8 + 2.02683e8i 0.473263 + 0.593453i
\(700\) 3.19042e8 4.67948e8i 0.930150 1.36428i
\(701\) 6.14333e7 + 5.70017e7i 0.178340 + 0.165476i 0.764292 0.644870i \(-0.223089\pi\)
−0.585952 + 0.810346i \(0.699279\pi\)
\(702\) 459542. 6.13216e6i 0.00132835 0.0177256i
\(703\) 4.69146e7 + 1.19537e8i 0.135034 + 0.344060i
\(704\) 6.48606e7 + 2.84173e8i 0.185893 + 0.814451i
\(705\) 6.15321e8 + 1.89801e8i 1.75604 + 0.541667i
\(706\) 3.90568e7 + 5.72859e7i 0.110990 + 0.162792i
\(707\) −3.41923e7 + 2.26851e8i −0.0967543 + 0.641923i
\(708\) 3.09124e8 + 1.21322e8i 0.871030 + 0.341854i
\(709\) 1.93968e8 + 9.34099e7i 0.544240 + 0.262092i 0.685741 0.727846i \(-0.259478\pi\)
−0.141501 + 0.989938i \(0.545193\pi\)
\(710\) 1.55863e8 3.23653e8i 0.435480 0.904284i
\(711\) −7.68093e7 + 1.95707e8i −0.213700 + 0.544500i
\(712\) −4.41018e7 6.64728e6i −0.122185 0.0184164i
\(713\) −1.74183e8 + 1.18756e8i −0.480549 + 0.327633i
\(714\) 2.27726e7 7.38270e7i 0.0625631 0.202824i
\(715\) −5.74751e8 + 1.31183e8i −1.57239 + 0.358889i
\(716\) −8.05571e7 + 3.16163e7i −0.219465 + 0.0861336i
\(717\) −5.89757e8 4.41962e7i −1.59998 0.119902i
\(718\) 2.73905e7 2.95199e7i 0.0739991 0.0797521i
\(719\) 4.72903e8 + 3.22420e8i 1.27229 + 0.867432i 0.995616 0.0935326i \(-0.0298159\pi\)
0.276672 + 0.960964i \(0.410768\pi\)
\(720\) 3.57655e8 2.85220e8i 0.958223 0.764158i
\(721\) −7.45569e7 8.03532e7i −0.198922 0.214386i
\(722\) 1.64771e7 + 1.09318e8i 0.0437794 + 0.290457i
\(723\) 1.84108e8 8.06629e8i 0.487144 2.13432i
\(724\) 1.69713e8 2.93952e8i 0.447198 0.774570i
\(725\) 2.45127e8 1.41524e8i 0.643246 0.371378i
\(726\) 3.02166e8 9.32057e7i 0.789651 0.243575i
\(727\) −3.61173e7 2.88026e7i −0.0939966 0.0749598i 0.575364 0.817897i \(-0.304860\pi\)
−0.669361 + 0.742938i \(0.733432\pi\)
\(728\) 6.67003e6 + 8.90054e7i 0.0172876 + 0.230686i
\(729\) −2.89513e8 + 1.39422e8i −0.747284 + 0.359873i
\(730\) 2.73174e7i 0.0702216i
\(731\) −1.01299e8 2.31937e8i −0.259330 0.593769i
\(732\) −4.53319e8 −1.15577
\(733\) −1.03434e8 2.14783e8i −0.262634 0.545366i 0.727396 0.686217i \(-0.240730\pi\)
−0.990031 + 0.140852i \(0.955016\pi\)
\(734\) 5.30906e7 3.97859e6i 0.134255 0.0100610i
\(735\) −2.48749e8 + 3.11922e8i −0.626469 + 0.785568i
\(736\) −6.13256e7 1.98813e8i −0.153819 0.498667i
\(737\) 2.41244e8 + 4.17848e8i 0.602636 + 1.04380i
\(738\) 1.23643e8 + 7.13851e7i 0.307609 + 0.177598i
\(739\) 1.75712e7 + 4.01051e6i 0.0435380 + 0.00993726i 0.244234 0.969716i \(-0.421463\pi\)
−0.200696 + 0.979653i \(0.564320\pi\)
\(740\) −1.30243e9 + 1.96310e8i −3.21410 + 0.484447i
\(741\) 3.99505e7 3.70686e7i 0.0981900 0.0911070i
\(742\) −4.62526e7 5.79989e7i −0.113220 0.141974i
\(743\) −2.23711e8 + 3.28123e8i −0.545407 + 0.799964i −0.995673 0.0929299i \(-0.970377\pi\)
0.450266 + 0.892894i \(0.351329\pi\)
\(744\) 2.17438e8 + 2.01753e8i 0.527979 + 0.489893i
\(745\) 2.78436e6 3.71546e7i 0.00673373 0.0898554i
\(746\) −3.04010e7 7.74605e7i −0.0732271 0.186580i
\(747\) 5.45754e7 + 2.39111e8i 0.130929 + 0.573637i
\(748\) 4.04391e8 + 1.24738e8i 0.966265 + 0.298053i
\(749\) −2.79723e8 4.10279e8i −0.665707 0.976413i
\(750\) −6.51471e7 + 4.32223e8i −0.154423 + 1.02453i
\(751\) −3.19993e8 1.25588e8i −0.755476 0.296502i −0.0438282 0.999039i \(-0.513955\pi\)
−0.711647 + 0.702537i \(0.752051\pi\)
\(752\) 2.03068e8 + 9.77924e7i 0.477516 + 0.229960i
\(753\) −1.35474e8 + 2.81315e8i −0.317301 + 0.658882i