Properties

Label 43.7.h.a.18.7
Level $43$
Weight $7$
Character 43.18
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 18.7
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.84298 + 5.90351i) q^{2} +(-20.1837 + 29.6040i) q^{3} +(13.1344 + 16.4701i) q^{4} +(-116.300 - 125.342i) q^{5} +(-117.386 - 203.318i) q^{6} +(-46.7937 - 27.0164i) q^{7} +(-543.412 + 124.030i) q^{8} +(-202.684 - 516.431i) q^{9} +O(q^{10})\) \(q+(-2.84298 + 5.90351i) q^{2} +(-20.1837 + 29.6040i) q^{3} +(13.1344 + 16.4701i) q^{4} +(-116.300 - 125.342i) q^{5} +(-117.386 - 203.318i) q^{6} +(-46.7937 - 27.0164i) q^{7} +(-543.412 + 124.030i) q^{8} +(-202.684 - 516.431i) q^{9} +(1070.60 - 330.235i) q^{10} +(-81.3439 + 102.002i) q^{11} +(-752.683 + 56.4058i) q^{12} +(3505.31 + 1081.24i) q^{13} +(292.525 - 199.440i) q^{14} +(6058.00 - 913.096i) q^{15} +(512.688 - 2246.23i) q^{16} +(-7066.92 - 6557.14i) q^{17} +(3624.99 + 271.655i) q^{18} +(1785.99 + 700.948i) q^{19} +(536.850 - 3561.77i) q^{20} +(1744.26 - 839.993i) q^{21} +(-370.911 - 770.205i) q^{22} +(10352.9 + 1560.45i) q^{23} +(7296.27 - 18590.6i) q^{24} +(-1017.18 + 13573.3i) q^{25} +(-16348.7 + 17619.7i) q^{26} +(-6085.73 - 1389.03i) q^{27} +(-169.648 - 1125.54i) q^{28} +(4427.75 + 6494.32i) q^{29} +(-11832.3 + 38359.4i) q^{30} +(-3565.02 - 47571.9i) q^{31} +(-16087.0 - 12828.9i) q^{32} +(-1377.85 - 4466.89i) q^{33} +(58801.3 - 23077.8i) q^{34} +(2055.84 + 9007.22i) q^{35} +(5843.52 - 10121.3i) q^{36} +(-52815.2 + 30492.8i) q^{37} +(-9215.58 + 8550.81i) q^{38} +(-102759. + 81947.8i) q^{39} +(78745.1 + 53687.5i) q^{40} +(-51042.3 - 24580.7i) q^{41} +12685.4i q^{42} +(-42593.9 - 67135.1i) q^{43} -2748.39 q^{44} +(-41158.2 + 85465.9i) q^{45} +(-38645.2 + 56682.0i) q^{46} +(11101.8 + 13921.2i) q^{47} +(56149.6 + 60514.9i) q^{48} +(-57364.7 - 99358.6i) q^{49} +(-77238.1 - 44593.5i) q^{50} +(336755. - 76862.0i) q^{51} +(28232.1 + 71934.3i) q^{52} +(-83589.3 + 25783.9i) q^{53} +(25501.8 - 31978.2i) q^{54} +(22245.5 - 1667.07i) q^{55} +(28779.1 + 8877.18i) q^{56} +(-56798.7 + 38724.7i) q^{57} +(-50927.3 + 7676.06i) q^{58} +(76396.9 - 334717. i) q^{59} +(94607.2 + 87782.6i) q^{60} +(4370.58 + 327.530i) q^{61} +(290977. + 114200. i) q^{62} +(-4467.74 + 29641.5i) q^{63} +(254324. - 122476. i) q^{64} +(-272143. - 565111. i) q^{65} +(30287.5 + 4565.11i) q^{66} +(-47692.1 + 121517. i) q^{67} +(15176.6 - 202517. i) q^{68} +(-255155. + 274992. i) q^{69} +(-59018.9 - 13470.7i) q^{70} +(33940.5 + 225180. i) q^{71} +(174194. + 255496. i) q^{72} +(-102399. + 331970. i) q^{73} +(-29862.4 - 398485. i) q^{74} +(-381293. - 304071. i) q^{75} +(11913.3 + 38621.9i) q^{76} +(6562.11 - 2575.44i) q^{77} +(-191637. - 839617. i) q^{78} +(11615.3 - 20118.3i) q^{79} +(-341173. + 196976. i) q^{80} +(460426. - 427213. i) q^{81} +(290224. - 231446. i) q^{82} +(114457. + 78035.8i) q^{83} +(36744.7 + 17695.3i) q^{84} +1.64838e6i q^{85} +(517427. - 60589.8i) q^{86} -281627. q^{87} +(31551.9 - 65518.3i) q^{88} +(-206256. + 302522. i) q^{89} +(-387537. - 485956. i) q^{90} +(-134815. - 145296. i) q^{91} +(110279. + 191008. i) q^{92} +(1.48028e6 + 854638. i) q^{93} +(-113746. + 25961.8i) q^{94} +(-119853. - 305379. i) q^{95} +(704484. - 217304. i) q^{96} +(-597112. + 748754. i) q^{97} +(749652. - 56178.6i) q^{98} +(69164.2 + 21334.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.84298 + 5.90351i −0.355373 + 0.737939i −0.999639 0.0268622i \(-0.991448\pi\)
0.644267 + 0.764801i \(0.277163\pi\)
\(3\) −20.1837 + 29.6040i −0.747544 + 1.09645i 0.244388 + 0.969678i \(0.421413\pi\)
−0.991932 + 0.126769i \(0.959539\pi\)
\(4\) 13.1344 + 16.4701i 0.205226 + 0.257345i
\(5\) −116.300 125.342i −0.930402 1.00273i −0.999987 0.00515879i \(-0.998358\pi\)
0.0695847 0.997576i \(-0.477833\pi\)
\(6\) −117.386 203.318i −0.543453 0.941289i
\(7\) −46.7937 27.0164i −0.136425 0.0787649i 0.430234 0.902717i \(-0.358431\pi\)
−0.566659 + 0.823952i \(0.691764\pi\)
\(8\) −543.412 + 124.030i −1.06135 + 0.242247i
\(9\) −202.684 516.431i −0.278031 0.708411i
\(10\) 1070.60 330.235i 1.07060 0.330235i
\(11\) −81.3439 + 102.002i −0.0611149 + 0.0766357i −0.811449 0.584423i \(-0.801321\pi\)
0.750334 + 0.661058i \(0.229892\pi\)
\(12\) −752.683 + 56.4058i −0.435580 + 0.0326422i
\(13\) 3505.31 + 1081.24i 1.59550 + 0.492146i 0.960010 0.279965i \(-0.0903228\pi\)
0.635488 + 0.772111i \(0.280799\pi\)
\(14\) 292.525 199.440i 0.106605 0.0726823i
\(15\) 6058.00 913.096i 1.79496 0.270547i
\(16\) 512.688 2246.23i 0.125168 0.548396i
\(17\) −7066.92 6557.14i −1.43841 1.33465i −0.850779 0.525524i \(-0.823869\pi\)
−0.587633 0.809127i \(-0.699940\pi\)
\(18\) 3624.99 + 271.655i 0.621568 + 0.0465801i
\(19\) 1785.99 + 700.948i 0.260386 + 0.102194i 0.491943 0.870627i \(-0.336287\pi\)
−0.231557 + 0.972821i \(0.574382\pi\)
\(20\) 536.850 3561.77i 0.0671063 0.445221i
\(21\) 1744.26 839.993i 0.188345 0.0907022i
\(22\) −370.911 770.205i −0.0348339 0.0723333i
\(23\) 10352.9 + 1560.45i 0.850899 + 0.128252i 0.559991 0.828499i \(-0.310805\pi\)
0.290908 + 0.956751i \(0.406043\pi\)
\(24\) 7296.27 18590.6i 0.527797 1.34480i
\(25\) −1017.18 + 13573.3i −0.0650993 + 0.868689i
\(26\) −16348.7 + 17619.7i −0.930170 + 1.00249i
\(27\) −6085.73 1389.03i −0.309187 0.0705699i
\(28\) −169.648 1125.54i −0.00772813 0.0512728i
\(29\) 4427.75 + 6494.32i 0.181547 + 0.266281i 0.906215 0.422818i \(-0.138959\pi\)
−0.724668 + 0.689099i \(0.758007\pi\)
\(30\) −11832.3 + 38359.4i −0.438233 + 1.42072i
\(31\) −3565.02 47571.9i −0.119668 1.59686i −0.657269 0.753656i \(-0.728288\pi\)
0.537601 0.843200i \(-0.319331\pi\)
\(32\) −16087.0 12828.9i −0.490936 0.391508i
\(33\) −1377.85 4466.89i −0.0383408 0.124298i
\(34\) 58801.3 23077.8i 1.49606 0.587162i
\(35\) 2055.84 + 9007.22i 0.0479496 + 0.210081i
\(36\) 5843.52 10121.3i 0.125247 0.216934i
\(37\) −52815.2 + 30492.8i −1.04269 + 0.601995i −0.920593 0.390524i \(-0.872294\pi\)
−0.122093 + 0.992519i \(0.538961\pi\)
\(38\) −9215.58 + 8550.81i −0.167947 + 0.155832i
\(39\) −102759. + 81947.8i −1.73232 + 1.38148i
\(40\) 78745.1 + 53687.5i 1.23039 + 0.838867i
\(41\) −51042.3 24580.7i −0.740591 0.356650i 0.0252490 0.999681i \(-0.491962\pi\)
−0.765840 + 0.643031i \(0.777676\pi\)
\(42\) 12685.4i 0.171220i
\(43\) −42593.9 67135.1i −0.535725 0.844392i
\(44\) −2748.39 −0.0322642
\(45\) −41158.2 + 85465.9i −0.451668 + 0.937898i
\(46\) −38645.2 + 56682.0i −0.397028 + 0.582334i
\(47\) 11101.8 + 13921.2i 0.106930 + 0.134086i 0.832417 0.554150i \(-0.186957\pi\)
−0.725487 + 0.688236i \(0.758385\pi\)
\(48\) 56149.6 + 60514.9i 0.507719 + 0.547191i
\(49\) −57364.7 99358.6i −0.487592 0.844534i
\(50\) −77238.1 44593.5i −0.617905 0.356748i
\(51\) 336755. 76862.0i 2.53865 0.579430i
\(52\) 28232.1 + 71934.3i 0.200786 + 0.511594i
\(53\) −83589.3 + 25783.9i −0.561466 + 0.173189i −0.562481 0.826810i \(-0.690153\pi\)
0.00101518 + 0.999999i \(0.499677\pi\)
\(54\) 25501.8 31978.2i 0.161953 0.203083i
\(55\) 22245.5 1667.07i 0.133707 0.0100199i
\(56\) 28779.1 + 8877.18i 0.163875 + 0.0505488i
\(57\) −56798.7 + 38724.7i −0.306700 + 0.209105i
\(58\) −50927.3 + 7676.06i −0.261016 + 0.0393418i
\(59\) 76396.9 334717.i 0.371980 1.62975i −0.349232 0.937036i \(-0.613558\pi\)
0.721212 0.692714i \(-0.243585\pi\)
\(60\) 94607.2 + 87782.6i 0.437996 + 0.406401i
\(61\) 4370.58 + 327.530i 0.0192553 + 0.00144298i 0.0843543 0.996436i \(-0.473117\pi\)
−0.0650990 + 0.997879i \(0.520736\pi\)
\(62\) 290977. + 114200.i 1.22091 + 0.479171i
\(63\) −4467.74 + 29641.5i −0.0178676 + 0.118544i
\(64\) 254324. 122476.i 0.970169 0.467209i
\(65\) −272143. 565111.i −0.990963 2.05776i
\(66\) 30287.5 + 4565.11i 0.105349 + 0.0158789i
\(67\) −47692.1 + 121517.i −0.158570 + 0.404031i −0.987974 0.154619i \(-0.950585\pi\)
0.829404 + 0.558649i \(0.188680\pi\)
\(68\) 15176.6 202517.i 0.0482666 0.644073i
\(69\) −255155. + 274992.i −0.776706 + 0.837090i
\(70\) −59018.9 13470.7i −0.172067 0.0392731i
\(71\) 33940.5 + 225180.i 0.0948293 + 0.629152i 0.984873 + 0.173277i \(0.0554355\pi\)
−0.890044 + 0.455875i \(0.849326\pi\)
\(72\) 174194. + 255496.i 0.466698 + 0.684521i
\(73\) −102399. + 331970.i −0.263225 + 0.853355i 0.723411 + 0.690417i \(0.242573\pi\)
−0.986636 + 0.162938i \(0.947903\pi\)
\(74\) −29862.4 398485.i −0.0736935 0.983371i
\(75\) −381293. 304071.i −0.903806 0.720762i
\(76\) 11913.3 + 38621.9i 0.0271388 + 0.0879818i
\(77\) 6562.11 2575.44i 0.0143738 0.00564130i
\(78\) −191637. 839617.i −0.403827 1.76928i
\(79\) 11615.3 20118.3i 0.0235586 0.0408047i −0.854006 0.520264i \(-0.825834\pi\)
0.877564 + 0.479459i \(0.159167\pi\)
\(80\) −341173. + 196976.i −0.666353 + 0.384719i
\(81\) 460426. 427213.i 0.866372 0.803876i
\(82\) 290224. 231446.i 0.526371 0.419767i
\(83\) 114457. + 78035.8i 0.200175 + 0.136477i 0.659259 0.751916i \(-0.270870\pi\)
−0.459084 + 0.888393i \(0.651822\pi\)
\(84\) 36744.7 + 17695.3i 0.0619950 + 0.0298552i
\(85\) 1.64838e6i 2.68411i
\(86\) 517427. 60589.8i 0.813492 0.0952585i
\(87\) −281627. −0.427677
\(88\) 31551.9 65518.3i 0.0462997 0.0961423i
\(89\) −206256. + 302522.i −0.292575 + 0.429128i −0.944180 0.329430i \(-0.893143\pi\)
0.651605 + 0.758558i \(0.274096\pi\)
\(90\) −387537. 485956.i −0.531601 0.666606i
\(91\) −134815. 145296.i −0.178902 0.192810i
\(92\) 110279. + 191008.i 0.141621 + 0.245295i
\(93\) 1.48028e6 + 854638.i 1.84032 + 1.06251i
\(94\) −113746. + 25961.8i −0.136947 + 0.0312572i
\(95\) −119853. 305379.i −0.139790 0.356179i
\(96\) 704484. 217304.i 0.796264 0.245615i
\(97\) −597112. + 748754.i −0.654245 + 0.820397i −0.992703 0.120584i \(-0.961523\pi\)
0.338458 + 0.940981i \(0.390095\pi\)
\(98\) 749652. 56178.6i 0.796492 0.0596888i
\(99\) 69164.2 + 21334.3i 0.0712814 + 0.0219874i
\(100\) −236913. + 161524.i −0.236913 + 0.161524i
\(101\) −1.02590e6 + 154630.i −0.995729 + 0.150082i −0.626637 0.779311i \(-0.715569\pi\)
−0.369092 + 0.929393i \(0.620331\pi\)
\(102\) −503631. + 2.20655e6i −0.474583 + 2.07928i
\(103\) 153971. + 142865.i 0.140906 + 0.130741i 0.747477 0.664288i \(-0.231265\pi\)
−0.606571 + 0.795029i \(0.707456\pi\)
\(104\) −2.03893e6 152797.i −1.81261 0.135836i
\(105\) −308145. 120938.i −0.266187 0.104471i
\(106\) 85427.4 566774.i 0.0717265 0.475874i
\(107\) −452228. + 217781.i −0.369153 + 0.177775i −0.609258 0.792972i \(-0.708532\pi\)
0.240105 + 0.970747i \(0.422818\pi\)
\(108\) −57055.3 118477.i −0.0452923 0.0940505i
\(109\) 929624. + 140118.i 0.717841 + 0.108197i 0.497798 0.867293i \(-0.334142\pi\)
0.220043 + 0.975490i \(0.429380\pi\)
\(110\) −53401.9 + 136066.i −0.0401216 + 0.102228i
\(111\) 163294. 2.17900e6i 0.119399 1.59327i
\(112\) −84675.6 + 91258.6i −0.0602704 + 0.0649560i
\(113\) −2.03954e6 465512.i −1.41350 0.322623i −0.553474 0.832866i \(-0.686698\pi\)
−0.860030 + 0.510243i \(0.829555\pi\)
\(114\) −67134.0 445405.i −0.0453136 0.300636i
\(115\) −1.00845e6 1.47913e6i −0.663075 0.972552i
\(116\) −48805.9 + 158225.i −0.0312679 + 0.101368i
\(117\) −152083. 2.02940e6i −0.0949560 1.26710i
\(118\) 1.75881e6 + 1.40260e6i 1.07046 + 0.853667i
\(119\) 153537. + 497755.i 0.0911114 + 0.295376i
\(120\) −3.17874e6 + 1.24756e6i −1.83955 + 0.721969i
\(121\) 390422. + 1.71055e6i 0.220383 + 0.965561i
\(122\) −14359.1 + 24870.6i −0.00790764 + 0.0136964i
\(123\) 1.75791e6 1.01493e6i 0.944672 0.545406i
\(124\) 736689. 683547.i 0.386384 0.358512i
\(125\) −269193. + 214674.i −0.137827 + 0.109913i
\(126\) −162287. 110646.i −0.0811285 0.0553124i
\(127\) −1.58030e6 761032.i −0.771487 0.371528i 0.00636221 0.999980i \(-0.497975\pi\)
−0.777849 + 0.628451i \(0.783689\pi\)
\(128\) 532735.i 0.254028i
\(129\) 2.84717e6 + 94082.7i 1.32631 + 0.0438269i
\(130\) 4.10984e6 1.87066
\(131\) 232769. 483350.i 0.103541 0.215005i −0.842762 0.538286i \(-0.819072\pi\)
0.946303 + 0.323282i \(0.104786\pi\)
\(132\) 55472.7 81363.5i 0.0241189 0.0353759i
\(133\) −64635.8 81050.8i −0.0274738 0.0344510i
\(134\) −581792. 627023.i −0.241798 0.260597i
\(135\) 533668. + 924341.i 0.216905 + 0.375691i
\(136\) 4.65353e6 + 2.68672e6i 1.84998 + 1.06808i
\(137\) 2.95023e6 673370.i 1.14734 0.261874i 0.393753 0.919216i \(-0.371177\pi\)
0.753592 + 0.657343i \(0.228320\pi\)
\(138\) −898016. 2.28811e6i −0.341701 0.870641i
\(139\) 2.79714e6 862804.i 1.04153 0.321268i 0.273625 0.961836i \(-0.411777\pi\)
0.767901 + 0.640568i \(0.221301\pi\)
\(140\) −121347. + 152165.i −0.0442228 + 0.0554536i
\(141\) −636198. + 47676.4i −0.226952 + 0.0170077i
\(142\) −1.42585e6 439815.i −0.497975 0.153605i
\(143\) −395425. + 269596.i −0.135225 + 0.0921946i
\(144\) −1.26394e6 + 190508.i −0.423290 + 0.0638008i
\(145\) 299061. 1.31027e6i 0.0980972 0.429792i
\(146\) −1.66867e6 1.54830e6i −0.536181 0.497503i
\(147\) 4.09925e6 + 307196.i 1.29048 + 0.0967084i
\(148\) −1.19592e6 469363.i −0.368906 0.144785i
\(149\) 579707. 3.84610e6i 0.175247 1.16269i −0.712269 0.701907i \(-0.752332\pi\)
0.887515 0.460778i \(-0.152430\pi\)
\(150\) 2.87910e6 1.38650e6i 0.853066 0.410815i
\(151\) −2.48997e6 5.17047e6i −0.723207 1.50175i −0.859527 0.511090i \(-0.829242\pi\)
0.136320 0.990665i \(-0.456472\pi\)
\(152\) −1.05746e6 159387.i −0.301117 0.0453861i
\(153\) −1.95396e6 + 4.97861e6i −0.545559 + 1.39006i
\(154\) −3451.83 + 46061.4i −0.000945119 + 0.0126117i
\(155\) −5.54814e6 + 5.97947e6i −1.48988 + 1.60571i
\(156\) −2.69937e6 616115.i −0.711032 0.162288i
\(157\) −60931.0 404251.i −0.0157449 0.104460i 0.979578 0.201064i \(-0.0644401\pi\)
−0.995323 + 0.0966040i \(0.969202\pi\)
\(158\) 85746.6 + 125767.i 0.0217393 + 0.0318857i
\(159\) 923834. 2.99500e6i 0.229828 0.745084i
\(160\) 262917. + 3.50838e6i 0.0641887 + 0.856539i
\(161\) −442292. 352716.i −0.105982 0.0845177i
\(162\) 1.21307e6 + 3.93269e6i 0.285326 + 0.925005i
\(163\) −3.35761e6 + 1.31776e6i −0.775296 + 0.304281i −0.719803 0.694178i \(-0.755768\pi\)
−0.0554922 + 0.998459i \(0.517673\pi\)
\(164\) −265567. 1.16352e6i −0.0602063 0.263781i
\(165\) −399644. + 692203.i −0.0889654 + 0.154093i
\(166\) −786085. + 453847.i −0.171848 + 0.0992167i
\(167\) −5.46076e6 + 5.06685e6i −1.17248 + 1.08790i −0.177883 + 0.984052i \(0.556925\pi\)
−0.994593 + 0.103847i \(0.966885\pi\)
\(168\) −843669. + 672804.i −0.177928 + 0.141893i
\(169\) 7.13001e6 + 4.86116e6i 1.47717 + 1.00712i
\(170\) −9.73122e6 4.68631e6i −1.98071 0.953859i
\(171\) 1.06441e6i 0.212873i
\(172\) 546273. 1.58331e6i 0.107355 0.311157i
\(173\) 7.09808e6 1.37089 0.685445 0.728124i \(-0.259608\pi\)
0.685445 + 0.728124i \(0.259608\pi\)
\(174\) 800659. 1.66259e6i 0.151985 0.315600i
\(175\) 414298. 607663.i 0.0773034 0.113383i
\(176\) 187416. + 235013.i 0.0343771 + 0.0431075i
\(177\) 8.36699e6 + 9.01747e6i 1.50886 + 1.62617i
\(178\) −1.19956e6 2.07770e6i −0.212697 0.368403i
\(179\) −8.99862e6 5.19536e6i −1.56898 0.905850i −0.996288 0.0860777i \(-0.972567\pi\)
−0.572690 0.819772i \(-0.694100\pi\)
\(180\) −1.94822e6 + 444669.i −0.334057 + 0.0762463i
\(181\) −3.69830e6 9.42312e6i −0.623687 1.58913i −0.796811 0.604228i \(-0.793482\pi\)
0.173125 0.984900i \(-0.444614\pi\)
\(182\) 1.24103e6 382808.i 0.205859 0.0634991i
\(183\) −97910.8 + 122776.i −0.0159763 + 0.0200337i
\(184\) −5.81942e6 + 436105.i −0.934171 + 0.0700064i
\(185\) 9.96445e6 + 3.07362e6i 1.57376 + 0.485440i
\(186\) −9.25377e6 + 6.30911e6i −1.43807 + 0.980459i
\(187\) 1.24369e6 187457.i 0.190190 0.0286666i
\(188\) −83467.2 + 365694.i −0.0125615 + 0.0550356i
\(189\) 247247. + 229412.i 0.0366224 + 0.0339806i
\(190\) 2.14355e6 + 160637.i 0.312516 + 0.0234198i
\(191\) 7.34029e6 + 2.88085e6i 1.05345 + 0.413448i 0.827953 0.560797i \(-0.189505\pi\)
0.225494 + 0.974245i \(0.427600\pi\)
\(192\) −1.50741e6 + 1.00010e7i −0.212975 + 1.41300i
\(193\) −1.07642e7 + 5.18378e6i −1.49731 + 0.721065i −0.990048 0.140729i \(-0.955055\pi\)
−0.507258 + 0.861794i \(0.669341\pi\)
\(194\) −2.72270e6 5.65375e6i −0.372902 0.774339i
\(195\) 2.22224e7 + 3.34949e6i 2.99701 + 0.451726i
\(196\) 882990. 2.24982e6i 0.117270 0.298800i
\(197\) −259258. + 3.45956e6i −0.0339105 + 0.452504i 0.954243 + 0.299033i \(0.0966641\pi\)
−0.988153 + 0.153471i \(0.950955\pi\)
\(198\) −322580. + 347659.i −0.0415568 + 0.0447876i
\(199\) −1.52052e6 347048.i −0.192944 0.0440383i 0.124957 0.992162i \(-0.460121\pi\)
−0.317901 + 0.948124i \(0.602978\pi\)
\(200\) −1.13075e6 7.50204e6i −0.141344 0.937755i
\(201\) −2.63481e6 3.86455e6i −0.324460 0.475895i
\(202\) 2.00376e6 6.49603e6i 0.243104 0.788122i
\(203\) −31738.1 423515.i −0.00379396 0.0506268i
\(204\) 5.68901e6 + 4.53683e6i 0.670110 + 0.534395i
\(205\) 2.85524e6 + 9.25647e6i 0.331422 + 1.07444i
\(206\) −1.28114e6 + 502811.i −0.146553 + 0.0575179i
\(207\) −1.29250e6 5.66283e6i −0.145721 0.638444i
\(208\) 4.22586e6 7.31940e6i 0.469596 0.813365i
\(209\) −216777. + 125156.i −0.0237452 + 0.0137093i
\(210\) 1.59001e6 1.47531e6i 0.171688 0.159304i
\(211\) −8.94033e6 + 7.12967e6i −0.951713 + 0.758966i −0.970561 0.240857i \(-0.922572\pi\)
0.0188478 + 0.999822i \(0.494000\pi\)
\(212\) −1.52256e6 1.03807e6i −0.159797 0.108947i
\(213\) −7.35129e6 3.54020e6i −0.760720 0.366343i
\(214\) 3.28888e6i 0.335588i
\(215\) −3.46116e6 + 1.31466e7i −0.348262 + 1.32281i
\(216\) 3.47934e6 0.345252
\(217\) −1.11840e6 + 2.32238e6i −0.109451 + 0.227276i
\(218\) −3.47009e6 + 5.08969e6i −0.334944 + 0.491272i
\(219\) −7.76085e6 9.73180e6i −0.738885 0.926533i
\(220\) 319638. + 344488.i 0.0300186 + 0.0323524i
\(221\) −1.76819e7 3.06259e7i −1.63814 2.83734i
\(222\) 1.23995e7 + 7.15886e6i 1.13330 + 0.654312i
\(223\) 1.15702e7 2.64083e6i 1.04334 0.238136i 0.333686 0.942684i \(-0.391707\pi\)
0.709656 + 0.704548i \(0.248850\pi\)
\(224\) 406178. + 1.03493e6i 0.0361387 + 0.0920800i
\(225\) 7.21583e6 2.22579e6i 0.633488 0.195405i
\(226\) 8.54653e6 1.07170e7i 0.740397 0.928429i
\(227\) 2.69324e6 201831.i 0.230249 0.0172548i 0.0408942 0.999163i \(-0.486979\pi\)
0.189355 + 0.981909i \(0.439360\pi\)
\(228\) −1.38382e6 426851.i −0.116755 0.0360141i
\(229\) 1.43903e7 9.81117e6i 1.19830 0.816986i 0.211253 0.977431i \(-0.432245\pi\)
0.987045 + 0.160445i \(0.0512931\pi\)
\(230\) 1.15991e7 1.74828e6i 0.953322 0.143690i
\(231\) −56204.2 + 246247.i −0.00455967 + 0.0199772i
\(232\) −3.21159e6 2.97992e6i −0.257191 0.238638i
\(233\) −1.26125e7 945173.i −0.997085 0.0747212i −0.433822 0.900999i \(-0.642835\pi\)
−0.563263 + 0.826278i \(0.690454\pi\)
\(234\) 1.24130e7 + 4.87173e6i 0.968787 + 0.380221i
\(235\) 453767. 3.01055e6i 0.0349647 0.231976i
\(236\) 6.51624e6 3.13805e6i 0.495748 0.238740i
\(237\) 361144. + 749922.i 0.0271291 + 0.0563341i
\(238\) −3.37501e6 508701.i −0.250348 0.0377339i
\(239\) −2.86195e6 + 7.29212e6i −0.209637 + 0.534146i −0.996557 0.0829084i \(-0.973579\pi\)
0.786920 + 0.617055i \(0.211674\pi\)
\(240\) 1.05484e6 1.40758e7i 0.0763046 1.01821i
\(241\) −3.67192e6 + 3.95739e6i −0.262327 + 0.282721i −0.850456 0.526046i \(-0.823674\pi\)
0.588129 + 0.808767i \(0.299865\pi\)
\(242\) −1.12082e7 2.55820e6i −0.790843 0.180505i
\(243\) 2.67590e6 + 1.77534e7i 0.186488 + 1.23727i
\(244\) 52010.7 + 76285.8i 0.00358033 + 0.00525139i
\(245\) −5.78226e6 + 1.87456e7i −0.393187 + 1.27468i
\(246\) 993944. + 1.32633e7i 0.0667662 + 0.890933i
\(247\) 5.50254e6 + 4.38813e6i 0.365151 + 0.291198i
\(248\) 7.83764e6 + 2.54090e7i 0.513842 + 1.66584i
\(249\) −4.62035e6 + 1.81335e6i −0.299279 + 0.117458i
\(250\) −502021. 2.19950e6i −0.0321293 0.140768i
\(251\) 8.87616e6 1.53740e7i 0.561312 0.972221i −0.436071 0.899912i \(-0.643630\pi\)
0.997382 0.0723081i \(-0.0230365\pi\)
\(252\) −546880. + 315741.i −0.0341735 + 0.0197301i
\(253\) −1.00131e6 + 929083.i −0.0618313 + 0.0573711i
\(254\) 8.98553e6 7.16572e6i 0.548331 0.437279i
\(255\) −4.87987e7 3.32704e7i −2.94298 2.00649i
\(256\) 1.31317e7 + 6.32391e6i 0.782712 + 0.376934i
\(257\) 1.06306e7i 0.626265i −0.949709 0.313133i \(-0.898622\pi\)
0.949709 0.313133i \(-0.101378\pi\)
\(258\) −8.64988e6 + 1.65408e7i −0.503676 + 0.963160i
\(259\) 3.29522e6 0.189664
\(260\) 5.73297e6 1.19046e7i 0.326182 0.677324i
\(261\) 2.45644e6 3.60293e6i 0.138160 0.202644i
\(262\) 2.19170e6 + 2.74831e6i 0.121865 + 0.152813i
\(263\) −8.89392e6 9.58537e6i −0.488907 0.526916i 0.439619 0.898184i \(-0.355114\pi\)
−0.928526 + 0.371268i \(0.878923\pi\)
\(264\) 1.30277e6 + 2.25647e6i 0.0708038 + 0.122636i
\(265\) 1.29533e7 + 7.47857e6i 0.696052 + 0.401866i
\(266\) 662243. 151153.i 0.0351862 0.00803102i
\(267\) −4.79287e6 1.22120e7i −0.251804 0.641585i
\(268\) −2.62781e6 + 810572.i −0.136518 + 0.0421102i
\(269\) −411497. + 516001.i −0.0211403 + 0.0265090i −0.792289 0.610146i \(-0.791111\pi\)
0.771149 + 0.636655i \(0.219682\pi\)
\(270\) −6.97407e6 + 522634.i −0.354319 + 0.0265526i
\(271\) −8.58884e6 2.64931e6i −0.431546 0.133114i 0.0713697 0.997450i \(-0.477263\pi\)
−0.502915 + 0.864336i \(0.667739\pi\)
\(272\) −1.83520e7 + 1.25122e7i −0.911961 + 0.621765i
\(273\) 7.02242e6 1.05846e6i 0.345143 0.0520219i
\(274\) −4.41219e6 + 1.93311e7i −0.214488 + 0.939733i
\(275\) −1.30176e6 1.20786e6i −0.0625940 0.0580788i
\(276\) −7.88045e6 590558.i −0.374821 0.0280889i
\(277\) 3.72141e6 + 1.46055e6i 0.175093 + 0.0687188i 0.451268 0.892388i \(-0.350972\pi\)
−0.276175 + 0.961107i \(0.589067\pi\)
\(278\) −2.85865e6 + 1.89659e7i −0.133054 + 0.882753i
\(279\) −2.38451e7 + 1.14832e7i −1.09796 + 0.528749i
\(280\) −2.23433e6 4.63964e6i −0.101783 0.211354i
\(281\) 3.49049e7 + 5.26107e6i 1.57314 + 0.237113i 0.876892 0.480687i \(-0.159613\pi\)
0.696249 + 0.717800i \(0.254851\pi\)
\(282\) 1.52724e6 3.89134e6i 0.0681020 0.173521i
\(283\) 1.15679e6 1.54363e7i 0.0510383 0.681059i −0.911740 0.410767i \(-0.865261\pi\)
0.962779 0.270292i \(-0.0871201\pi\)
\(284\) −3.26295e6 + 3.51662e6i −0.142448 + 0.153522i
\(285\) 1.14595e7 + 2.61556e6i 0.495031 + 0.112988i
\(286\) −467378. 3.10085e6i −0.0199788 0.132551i
\(287\) 1.72438e6 + 2.52920e6i 0.0729435 + 0.106988i
\(288\) −3.36469e6 + 1.09081e7i −0.140853 + 0.456636i
\(289\) 5.14142e6 + 6.86075e7i 0.213005 + 2.84235i
\(290\) 6.88499e6 + 5.49060e6i 0.282299 + 0.225126i
\(291\) −1.01142e7 3.27896e7i −0.410444 1.33063i
\(292\) −6.81252e6 + 2.67372e6i −0.273627 + 0.107391i
\(293\) 3.02116e6 + 1.32365e7i 0.120108 + 0.526226i 0.998806 + 0.0488487i \(0.0155552\pi\)
−0.878699 + 0.477377i \(0.841588\pi\)
\(294\) −1.34676e7 + 2.33266e7i −0.529967 + 0.917930i
\(295\) −5.08390e7 + 2.93519e7i −1.98030 + 1.14333i
\(296\) 2.49184e7 2.31209e7i 0.960825 0.891515i
\(297\) 636721. 507768.i 0.0243041 0.0193819i
\(298\) 2.10574e7 + 1.43567e7i 0.795713 + 0.542508i
\(299\) 3.46028e7 + 1.66638e7i 1.29449 + 0.623393i
\(300\) 1.02737e7i 0.380509i
\(301\) 179381. + 4.29223e6i 0.00657773 + 0.157392i
\(302\) 3.76028e7 1.36521
\(303\) 1.61288e7 3.34918e7i 0.579795 1.20396i
\(304\) 2.49014e6 3.65237e6i 0.0886347 0.130003i
\(305\) −467247. 585909.i −0.0164682 0.0206505i
\(306\) −2.38362e7 2.56893e7i −0.831903 0.896578i
\(307\) −1.61836e7 2.80308e7i −0.559320 0.968770i −0.997553 0.0699091i \(-0.977729\pi\)
0.438234 0.898861i \(-0.355604\pi\)
\(308\) 128607. + 74251.5i 0.00440163 + 0.00254128i
\(309\) −7.33708e6 + 1.67464e6i −0.248684 + 0.0567605i
\(310\) −1.95266e7 4.97530e7i −0.655454 1.67007i
\(311\) −4.13018e7 + 1.27399e7i −1.37305 + 0.423531i −0.891554 0.452915i \(-0.850384\pi\)
−0.481500 + 0.876446i \(0.659908\pi\)
\(312\) 4.56766e7 5.72767e7i 1.50394 1.88588i
\(313\) −1.83960e7 + 1.37859e6i −0.599915 + 0.0449574i −0.371227 0.928542i \(-0.621063\pi\)
−0.228688 + 0.973500i \(0.573444\pi\)
\(314\) 2.55972e6 + 789570.i 0.0826807 + 0.0255036i
\(315\) 4.23492e6 2.88732e6i 0.135492 0.0923770i
\(316\) 483911. 72937.8i 0.0153357 0.00231149i
\(317\) −1.94311e6 + 8.51333e6i −0.0609986 + 0.267252i −0.996226 0.0867947i \(-0.972338\pi\)
0.935228 + 0.354047i \(0.115195\pi\)
\(318\) 1.50546e7 + 1.39686e7i 0.468152 + 0.434381i
\(319\) −1.02261e6 76633.7i −0.0315018 0.00236074i
\(320\) −4.49293e7 1.76335e7i −1.37113 0.538130i
\(321\) 2.68042e6 1.77834e7i 0.0810378 0.537650i
\(322\) 3.33969e6 1.60831e6i 0.100032 0.0481729i
\(323\) −8.02520e6 1.66645e7i −0.238149 0.494521i
\(324\) 1.30837e7 + 1.97204e6i 0.384675 + 0.0579805i
\(325\) −1.82415e7 + 4.64787e7i −0.531388 + 1.35395i
\(326\) 1.76618e6 2.35681e7i 0.0509780 0.680254i
\(327\) −2.29113e7 + 2.46925e7i −0.655250 + 0.706191i
\(328\) 3.07857e7 + 7.02664e6i 0.872424 + 0.199125i
\(329\) −143393. 951352.i −0.00402662 0.0267149i
\(330\) −2.95025e6 4.32722e6i −0.0820950 0.120411i
\(331\) −1.12210e7 + 3.63776e7i −0.309419 + 1.00311i 0.658654 + 0.752446i \(0.271126\pi\)
−0.968073 + 0.250667i \(0.919350\pi\)
\(332\) 218080. + 2.91008e6i 0.00595939 + 0.0795226i
\(333\) 2.64523e7 + 2.10950e7i 0.716358 + 0.571277i
\(334\) −1.43874e7 4.66426e7i −0.386137 1.25183i
\(335\) 2.07778e7 8.15470e6i 0.552670 0.216907i
\(336\) −992557. 4.34867e6i −0.0261660 0.114641i
\(337\) 1.40770e7 2.43821e7i 0.367807 0.637061i −0.621415 0.783481i \(-0.713442\pi\)
0.989222 + 0.146421i \(0.0467753\pi\)
\(338\) −4.89684e7 + 2.82719e7i −1.26814 + 0.732158i
\(339\) 5.49465e7 5.09829e7i 1.41040 1.30866i
\(340\) −2.71489e7 + 2.16505e7i −0.690742 + 0.550848i
\(341\) 5.14243e6 + 3.50605e6i 0.129690 + 0.0884209i
\(342\) 6.28376e6 + 3.02610e6i 0.157087 + 0.0756493i
\(343\) 1.25560e7i 0.311150i
\(344\) 3.14728e7 + 3.11991e7i 0.773144 + 0.766420i
\(345\) 6.41426e7 1.56203
\(346\) −2.01797e7 + 4.19036e7i −0.487177 + 1.01163i
\(347\) 3.60972e7 5.29448e7i 0.863942 1.26717i −0.0983496 0.995152i \(-0.531356\pi\)
0.962292 0.272019i \(-0.0876913\pi\)
\(348\) −3.69901e6 4.63841e6i −0.0877703 0.110061i
\(349\) −1.83940e7 1.98240e7i −0.432713 0.466354i 0.478621 0.878022i \(-0.341137\pi\)
−0.911334 + 0.411668i \(0.864946\pi\)
\(350\) 2.40951e6 + 4.17339e6i 0.0561984 + 0.0973384i
\(351\) −1.98305e7 1.14491e7i −0.458577 0.264759i
\(352\) 2.61716e6 597349.i 0.0600070 0.0136962i
\(353\) 2.39557e7 + 6.10382e7i 0.544610 + 1.38764i 0.892899 + 0.450256i \(0.148667\pi\)
−0.348289 + 0.937387i \(0.613237\pi\)
\(354\) −7.70220e7 + 2.37581e7i −1.73622 + 0.535553i
\(355\) 2.42772e7 3.04427e7i 0.542643 0.680452i
\(356\) −7.69162e6 + 576407.i −0.170478 + 0.0127755i
\(357\) −1.78345e7 5.50122e6i −0.391974 0.120908i
\(358\) 5.62538e7 3.83532e7i 1.22603 0.835896i
\(359\) 5.54369e7 8.35577e6i 1.19816 0.180594i 0.480506 0.876991i \(-0.340453\pi\)
0.717656 + 0.696398i \(0.245215\pi\)
\(360\) 1.17655e7 5.15481e7i 0.252176 1.10485i
\(361\) −3.17887e7 2.94956e7i −0.675695 0.626953i
\(362\) 6.61437e7 + 4.95678e6i 1.39432 + 0.104490i
\(363\) −5.85194e7 2.29672e7i −1.22343 0.480161i
\(364\) 622316. 4.12880e6i 0.0129035 0.0856090i
\(365\) 5.35187e7 2.57733e7i 1.10059 0.530018i
\(366\) −446452. 927068.i −0.00910609 0.0189090i
\(367\) 6.21850e7 + 9.37288e6i 1.25802 + 0.189616i 0.744010 0.668169i \(-0.232922\pi\)
0.514009 + 0.857785i \(0.328160\pi\)
\(368\) 8.81292e6 2.24550e7i 0.176838 0.450577i
\(369\) −2.34875e6 + 3.13419e7i −0.0467475 + 0.623802i
\(370\) −4.64739e7 + 5.00870e7i −0.917496 + 0.988825i
\(371\) 4.60804e6 + 1.05176e6i 0.0902391 + 0.0205965i
\(372\) 5.36666e6 + 3.56055e7i 0.104250 + 0.691653i
\(373\) −1.47781e7 2.16755e7i −0.284768 0.417678i 0.657026 0.753868i \(-0.271814\pi\)
−0.941794 + 0.336190i \(0.890862\pi\)
\(374\) −2.42914e6 + 7.87509e6i −0.0464343 + 0.150536i
\(375\) −921916. 1.23021e7i −0.0174823 0.233284i
\(376\) −7.75948e6 6.18798e6i −0.145972 0.116409i
\(377\) 8.49870e6 + 2.75521e7i 0.158609 + 0.514198i
\(378\) −2.05726e6 + 807413.i −0.0380902 + 0.0149493i
\(379\) 1.08125e7 + 4.73727e7i 0.198613 + 0.870182i 0.971763 + 0.235959i \(0.0758230\pi\)
−0.773150 + 0.634224i \(0.781320\pi\)
\(380\) 3.45542e6 5.98497e6i 0.0629724 0.109071i
\(381\) 5.44259e7 3.14228e7i 0.984081 0.568160i
\(382\) −3.78754e7 + 3.51433e7i −0.679466 + 0.630452i
\(383\) −2.69084e7 + 2.14588e7i −0.478952 + 0.381951i −0.832997 0.553277i \(-0.813377\pi\)
0.354046 + 0.935228i \(0.384806\pi\)
\(384\) −1.57711e7 1.07526e7i −0.278528 0.189897i
\(385\) −1.08599e6 522983.i −0.0190301 0.00916443i
\(386\) 7.82841e7i 1.36117i
\(387\) −2.60376e7 + 3.56041e7i −0.449229 + 0.614280i
\(388\) −2.01748e7 −0.345393
\(389\) −3.49367e7 + 7.25468e7i −0.593517 + 1.23245i 0.360517 + 0.932753i \(0.382600\pi\)
−0.954034 + 0.299698i \(0.903114\pi\)
\(390\) −8.29517e7 + 1.21668e8i −1.39840 + 2.05108i
\(391\) −6.29309e7 7.89129e7i −1.05277 1.32013i
\(392\) 4.34962e7 + 4.68777e7i 0.722092 + 0.778230i
\(393\) 9.61097e6 + 1.66467e7i 0.158340 + 0.274252i
\(394\) −1.96865e7 1.13660e7i −0.321869 0.185831i
\(395\) −3.87253e6 + 883880.i −0.0628353 + 0.0143417i
\(396\) 557056. + 1.41935e6i 0.00897042 + 0.0228563i
\(397\) 2.49623e7 7.69985e6i 0.398945 0.123058i −0.0887890 0.996050i \(-0.528300\pi\)
0.487734 + 0.872992i \(0.337823\pi\)
\(398\) 6.37160e6 7.98973e6i 0.101065 0.126731i
\(399\) 3.70402e6 277578.i 0.0583116 0.00436985i
\(400\) 2.99672e7 + 9.24366e6i 0.468238 + 0.144432i
\(401\) −6.35543e7 + 4.33306e7i −0.985626 + 0.671988i −0.944960 0.327185i \(-0.893900\pi\)
−0.0406653 + 0.999173i \(0.512948\pi\)
\(402\) 3.03051e7 4.56776e6i 0.466485 0.0703113i
\(403\) 3.89404e7 1.70609e8i 0.594957 2.60668i
\(404\) −1.60214e7 1.48657e7i −0.242972 0.225445i
\(405\) −1.07095e8 8.02568e6i −1.61215 0.120814i
\(406\) 2.59046e6 + 1.01668e6i 0.0387078 + 0.0151917i
\(407\) 1.18586e6 7.86767e6i 0.0175894 0.116698i
\(408\) −1.73463e8 + 8.35355e7i −2.55404 + 1.22996i
\(409\) 3.33266e7 + 6.92035e7i 0.487104 + 1.01148i 0.989187 + 0.146662i \(0.0468530\pi\)
−0.502083 + 0.864820i \(0.667433\pi\)
\(410\) −6.27631e7 9.46001e6i −0.910652 0.137259i
\(411\) −3.96120e7 + 1.00930e8i −0.570560 + 1.45376i
\(412\) −330661. + 4.41237e6i −0.00472815 + 0.0630928i
\(413\) −1.26177e7 + 1.35987e7i −0.179114 + 0.193039i
\(414\) 3.71052e7 + 8.46901e6i 0.522918 + 0.119353i
\(415\) −3.53028e6 2.34219e7i −0.0493930 0.327701i
\(416\) −4.25187e7 6.23634e7i −0.590608 0.866263i
\(417\) −3.09142e7 + 1.00221e8i −0.426334 + 1.38214i
\(418\) −122569. 1.63556e6i −0.00167823 0.0223944i
\(419\) 8.60689e7 + 6.86376e7i 1.17005 + 0.933083i 0.998641 0.0521173i \(-0.0165970\pi\)
0.171408 + 0.985200i \(0.445168\pi\)
\(420\) −2.05545e6 6.66362e6i −0.0277434 0.0899419i
\(421\) −4.40233e7 + 1.72779e7i −0.589979 + 0.231550i −0.641501 0.767122i \(-0.721688\pi\)
0.0515219 + 0.998672i \(0.483593\pi\)
\(422\) −1.66729e7 7.30488e7i −0.221858 0.972022i
\(423\) 4.93917e6 8.55490e6i 0.0652579 0.113030i
\(424\) 4.22255e7 2.43789e7i 0.553958 0.319828i
\(425\) 9.61901e7 8.92514e7i 1.25304 1.16265i
\(426\) 4.17992e7 3.33337e7i 0.540678 0.431176i
\(427\) −195667. 133404.i −0.00251324 0.00171350i
\(428\) −9.52664e6 4.58779e6i −0.121509 0.0585157i
\(429\) 1.71476e7i 0.217186i
\(430\) −6.77713e7 5.78086e7i −0.852394 0.727088i
\(431\) −7.99087e7 −0.998072 −0.499036 0.866581i \(-0.666313\pi\)
−0.499036 + 0.866581i \(0.666313\pi\)
\(432\) −6.24016e6 + 1.29578e7i −0.0774006 + 0.160724i
\(433\) 2.48402e7 3.64339e7i 0.305979 0.448789i −0.642195 0.766542i \(-0.721976\pi\)
0.948174 + 0.317753i \(0.102928\pi\)
\(434\) −1.05306e7 1.32050e7i −0.128820 0.161536i
\(435\) 3.27532e7 + 3.52996e7i 0.397912 + 0.428847i
\(436\) 9.90234e6 + 1.71514e7i 0.119475 + 0.206937i
\(437\) 1.73963e7 + 1.00438e7i 0.208455 + 0.120352i
\(438\) 7.95158e7 1.81490e7i 0.946304 0.215988i
\(439\) −3.44878e7 8.78734e7i −0.407635 1.03864i −0.976368 0.216115i \(-0.930661\pi\)
0.568733 0.822522i \(-0.307434\pi\)
\(440\) −1.18817e7 + 3.66501e6i −0.139483 + 0.0430247i
\(441\) −3.96850e7 + 4.97634e7i −0.462712 + 0.580222i
\(442\) 2.31069e8 1.73163e7i 2.67594 0.200534i
\(443\) 1.20751e8 + 3.72468e7i 1.38893 + 0.428428i 0.896932 0.442169i \(-0.145791\pi\)
0.491997 + 0.870597i \(0.336267\pi\)
\(444\) 3.80331e7 2.59305e7i 0.434523 0.296253i
\(445\) 6.19063e7 9.33088e6i 0.702514 0.105887i
\(446\) −1.73038e7 + 7.58127e7i −0.195046 + 0.854550i
\(447\) 1.02160e8 + 9.47903e7i 1.14382 + 1.06131i
\(448\) −1.52096e7 1.13980e6i −0.169155 0.0126764i
\(449\) −9.98947e7 3.92058e7i −1.10358 0.433123i −0.257553 0.966264i \(-0.582916\pi\)
−0.846026 + 0.533142i \(0.821011\pi\)
\(450\) −7.37450e6 + 4.89266e7i −0.0809273 + 0.536917i
\(451\) 6.65926e6 3.20693e6i 0.0725932 0.0349591i
\(452\) −1.91212e7 3.97056e7i −0.207062 0.429969i
\(453\) 2.03323e8 + 3.06461e7i 2.18722 + 0.329671i
\(454\) −6.46533e6 + 1.64734e7i −0.0690913 + 0.176042i
\(455\) −2.53266e6 + 3.37960e7i −0.0268870 + 0.358782i
\(456\) 2.60621e7 2.80882e7i 0.274862 0.296230i
\(457\) −1.65908e8 3.78674e7i −1.73828 0.396750i −0.768327 0.640058i \(-0.778910\pi\)
−0.969949 + 0.243308i \(0.921768\pi\)
\(458\) 1.70089e7 + 1.12847e8i 0.177043 + 1.17461i
\(459\) 3.38993e7 + 4.97211e7i 0.350552 + 0.514166i
\(460\) 1.11159e7 3.60369e7i 0.114201 0.370232i
\(461\) 4.42508e6 + 5.90486e7i 0.0451667 + 0.602708i 0.973163 + 0.230118i \(0.0739112\pi\)
−0.927996 + 0.372590i \(0.878470\pi\)
\(462\) −1.29393e6 1.03188e6i −0.0131216 0.0104641i
\(463\) −2.23242e7 7.23734e7i −0.224923 0.729182i −0.995747 0.0921337i \(-0.970631\pi\)
0.770824 0.637048i \(-0.219845\pi\)
\(464\) 1.68578e7 6.61620e6i 0.168751 0.0662300i
\(465\) −6.50346e7 2.84935e8i −0.646824 2.83392i
\(466\) 4.14368e7 7.17707e7i 0.409476 0.709234i
\(467\) 1.37008e8 7.91017e7i 1.34523 0.776667i 0.357658 0.933853i \(-0.383575\pi\)
0.987569 + 0.157185i \(0.0502420\pi\)
\(468\) 3.14269e7 2.91599e7i 0.306594 0.284478i
\(469\) 5.51465e6 4.39779e6i 0.0534564 0.0426300i
\(470\) 1.64828e7 + 1.12378e7i 0.158758 + 0.108240i
\(471\) 1.31973e7 + 6.35547e6i 0.126305 + 0.0608254i
\(472\) 1.91365e8i 1.81985i
\(473\) 1.03127e7 + 1.11637e6i 0.0974514 + 0.0105493i
\(474\) −5.45390e6 −0.0512120
\(475\) −1.13308e7 + 2.35287e7i −0.105726 + 0.219542i
\(476\) −6.18144e6 + 9.06651e6i −0.0573151 + 0.0840658i
\(477\) 3.02579e7 + 3.79422e7i 0.278794 + 0.349596i
\(478\) −3.49127e7 3.76269e7i −0.319668 0.344520i
\(479\) −1.04571e7 1.81122e7i −0.0951491 0.164803i 0.814522 0.580133i \(-0.196999\pi\)
−0.909671 + 0.415330i \(0.863666\pi\)
\(480\) −1.09169e8 6.30287e7i −0.987133 0.569921i
\(481\) −2.18104e8 + 4.97808e7i −1.95987 + 0.447328i
\(482\) −1.29233e7 3.29280e7i −0.115407 0.294052i
\(483\) 1.93689e7 5.97452e6i 0.171895 0.0530227i
\(484\) −2.30449e7 + 2.88974e7i −0.203254 + 0.254872i
\(485\) 1.63294e8 1.22372e7i 1.43135 0.107265i
\(486\) −1.12415e8 3.46755e7i −0.979300 0.302074i
\(487\) −1.56051e8 + 1.06394e8i −1.35108 + 0.921148i −0.999885 0.0151558i \(-0.995176\pi\)
−0.351191 + 0.936304i \(0.614223\pi\)
\(488\) −2.41565e6 + 364101.i −0.0207862 + 0.00313301i
\(489\) 2.87578e7 1.25996e8i 0.245940 1.07753i
\(490\) −9.42262e7 8.74291e7i −0.800910 0.743135i
\(491\) 9.80367e7 + 7.34684e6i 0.828217 + 0.0620663i 0.482090 0.876121i \(-0.339878\pi\)
0.346127 + 0.938188i \(0.387497\pi\)
\(492\) 3.98051e7 + 1.56224e7i 0.334229 + 0.131175i
\(493\) 1.12936e7 7.49282e7i 0.0942524 0.625324i
\(494\) −4.15490e7 + 2.00089e7i −0.344651 + 0.165975i
\(495\) −5.36973e6 1.11504e7i −0.0442728 0.0919334i
\(496\) −1.08685e8 1.63817e7i −0.890689 0.134250i
\(497\) 4.49535e6 1.14540e7i 0.0366180 0.0933011i
\(498\) 2.43041e6 3.24316e7i 0.0196785 0.262591i
\(499\) 7.65782e7 8.25316e7i 0.616316 0.664231i −0.345344 0.938476i \(-0.612238\pi\)
0.961660 + 0.274246i \(0.0884281\pi\)
\(500\) −7.07140e6 1.61400e6i −0.0565712 0.0129120i
\(501\) −3.97808e7 2.63929e8i −0.316345 2.09881i
\(502\) 6.55256e7 + 9.61084e7i 0.517965 + 0.759714i
\(503\) 2.20437e7 7.14641e7i 0.173213 0.561544i −0.826786 0.562516i \(-0.809833\pi\)
1.00000 0.000972370i \(0.000309515\pi\)
\(504\) −1.24862e6 1.66617e7i −0.00975302 0.130145i
\(505\) 1.38694e8 + 1.10605e8i 1.07692 + 0.858816i
\(506\) −2.63814e6 8.55263e6i −0.0203632 0.0660158i
\(507\) −2.87820e8 + 1.12961e8i −2.20850 + 0.866772i
\(508\) −8.22211e6 3.60234e7i −0.0627180 0.274785i
\(509\) −6.29792e7 + 1.09083e8i −0.477577 + 0.827188i −0.999670 0.0257007i \(-0.991818\pi\)
0.522092 + 0.852889i \(0.325152\pi\)
\(510\) 3.35146e8 1.93496e8i 2.52652 1.45869i
\(511\) 1.37602e7 1.27676e7i 0.103125 0.0956859i
\(512\) −1.01323e8 + 8.08025e7i −0.754916 + 0.602025i
\(513\) −9.89539e6 6.74656e6i −0.0732961 0.0499724i
\(514\) 6.27579e7 + 3.02226e7i 0.462146 + 0.222558i
\(515\) 3.59142e7i 0.262933i
\(516\) 3.58465e7 + 4.81289e7i 0.260914 + 0.350313i
\(517\) −2.32305e6 −0.0168107
\(518\) −9.36826e6 + 1.94534e7i −0.0674015 + 0.139961i
\(519\) −1.43266e8 + 2.10132e8i −1.02480 + 1.50311i
\(520\) 2.17977e8 + 2.73334e8i 1.55024 + 1.94394i
\(521\) −7.72263e7 8.32301e7i −0.546074 0.588528i 0.398360 0.917229i \(-0.369580\pi\)
−0.944434 + 0.328701i \(0.893389\pi\)
\(522\) 1.42863e7 + 2.47446e7i 0.100441 + 0.173968i
\(523\) −4.43143e7 2.55849e7i −0.309770 0.178846i 0.337054 0.941485i \(-0.390570\pi\)
−0.646823 + 0.762640i \(0.723903\pi\)
\(524\) 1.10181e7 2.51481e6i 0.0765795 0.0174788i
\(525\) 9.62723e6 + 2.45298e7i 0.0665309 + 0.169518i
\(526\) 8.18726e7 2.52543e7i 0.562576 0.173532i
\(527\) −2.86742e8 + 3.59563e8i −1.95911 + 2.45665i
\(528\) −1.07401e7 + 804858.i −0.0729635 + 0.00546786i
\(529\) −3.67119e7 1.13241e7i −0.247993 0.0764957i
\(530\) −8.09757e7 + 5.52083e7i −0.543910 + 0.370832i
\(531\) −1.88343e8 + 2.83881e7i −1.25795 + 0.189606i
\(532\) 485956. 2.12911e6i 0.00322747 0.0141405i
\(533\) −1.52341e8 1.41352e8i −1.00609 0.933513i
\(534\) 8.57199e7 + 6.42382e6i 0.562935 + 0.0421861i
\(535\) 7.98914e7 + 3.13550e7i 0.521721 + 0.204760i
\(536\) 1.08446e7 7.19493e7i 0.0704238 0.467232i
\(537\) 3.35429e8 1.61534e8i 2.16610 1.04314i
\(538\) −1.87634e6 3.89626e6i −0.0120494 0.0250208i
\(539\) 1.48011e7 + 2.23090e6i 0.0945206 + 0.0142467i
\(540\) −8.21452e6 + 2.09303e7i −0.0521676 + 0.132921i
\(541\) 4.86080e6 6.48628e7i 0.0306984 0.409642i −0.960593 0.277958i \(-0.910343\pi\)
0.991292 0.131684i \(-0.0420384\pi\)
\(542\) 4.00581e7 4.31724e7i 0.251590 0.271149i
\(543\) 3.53608e8 + 8.07087e7i 2.20863 + 0.504105i
\(544\) 2.95642e7 + 1.96146e8i 0.183641 + 1.21838i
\(545\) −9.05528e7 1.32817e8i −0.559387 0.820470i
\(546\) −1.37160e7 + 4.44661e7i −0.0842654 + 0.273182i
\(547\) 1.37369e7 + 1.83306e8i 0.0839318 + 1.11999i 0.867084 + 0.498162i \(0.165992\pi\)
−0.783152 + 0.621830i \(0.786389\pi\)
\(548\) 4.98401e7 + 3.97461e7i 0.302856 + 0.241520i
\(549\) −716702. 2.32349e6i −0.00433133 0.0140418i
\(550\) 1.08315e7 4.25104e6i 0.0651028 0.0255510i
\(551\) 3.35572e6 + 1.47024e7i 0.0200600 + 0.0878887i
\(552\) 1.04547e8 1.81081e8i 0.621576 1.07660i
\(553\) −1.08705e6 + 627607.i −0.00642796 + 0.00371118i
\(554\) −1.92022e7 + 1.78171e7i −0.112933 + 0.104787i
\(555\) −2.92111e8 + 2.32951e8i −1.70871 + 1.36265i
\(556\) 5.09494e7 + 3.47367e7i 0.296425 + 0.202099i
\(557\) 2.59157e7 + 1.24803e7i 0.149967 + 0.0722205i 0.507362 0.861733i \(-0.330621\pi\)
−0.357395 + 0.933953i \(0.616335\pi\)
\(558\) 1.73416e8i 0.998129i
\(559\) −7.67153e7 2.81384e8i −0.439184 1.61088i
\(560\) 2.12863e7 0.121209
\(561\) −1.95529e7 + 4.06019e7i −0.110744 + 0.229963i
\(562\) −1.30293e8 + 1.91105e8i −0.734026 + 1.07662i
\(563\) −4.18647e7 5.24966e7i −0.234597 0.294175i 0.650572 0.759444i \(-0.274529\pi\)
−0.885169 + 0.465269i \(0.845958\pi\)
\(564\) −9.14134e6 9.85202e6i −0.0509533 0.0549146i
\(565\) 1.78851e8 + 3.09779e8i 0.991622 + 1.71754i
\(566\) 8.78398e7 + 5.07143e7i 0.484442 + 0.279693i
\(567\) −3.30868e7 + 7.55183e6i −0.181512 + 0.0414289i
\(568\) −4.63728e7 1.18156e8i −0.253057 0.644779i
\(569\) −2.64638e8 + 8.16300e7i −1.43653 + 0.443112i −0.912672 0.408692i \(-0.865985\pi\)
−0.523861 + 0.851804i \(0.675509\pi\)
\(570\) −4.80202e7 + 6.02155e7i −0.259298 + 0.325150i
\(571\) 2.07469e8 1.55477e7i 1.11441 0.0835135i 0.495229 0.868762i \(-0.335084\pi\)
0.619180 + 0.785249i \(0.287465\pi\)
\(572\) −9.63396e6 2.97168e6i −0.0514774 0.0158787i
\(573\) −2.33439e8 + 1.59156e8i −1.24082 + 0.845978i
\(574\) −1.98335e7 + 2.98942e6i −0.104873 + 0.0158071i
\(575\) −3.17111e7 + 1.38935e8i −0.166804 + 0.730817i
\(576\) −1.14798e8 1.06517e8i −0.600712 0.557380i
\(577\) 2.05115e7 + 1.53712e6i 0.106775 + 0.00800168i 0.128010 0.991773i \(-0.459141\pi\)
−0.0212354 + 0.999775i \(0.506760\pi\)
\(578\) −4.19642e8 1.64697e8i −2.17318 0.852910i
\(579\) 6.38010e7 4.23292e8i 0.328694 2.18074i
\(580\) 2.55083e7 1.22842e7i 0.130737 0.0629595i
\(581\) −3.24765e6 6.74380e6i −0.0165592 0.0343856i
\(582\) 2.22328e8 + 3.35106e7i 1.12778 + 0.169986i
\(583\) 4.16948e6 1.06237e7i 0.0210415 0.0536128i
\(584\) 1.44706e7 1.93097e8i 0.0726521 0.969475i
\(585\) −2.36682e8 + 2.55082e8i −1.18222 + 1.27413i
\(586\) −8.67312e7 1.97958e7i −0.431005 0.0983741i
\(587\) 1.48006e7 + 9.81954e7i 0.0731753 + 0.485486i 0.995161 + 0.0982616i \(0.0313282\pi\)
−0.921985 + 0.387225i \(0.873434\pi\)
\(588\) 4.87818e7 + 7.15498e7i 0.239953 + 0.351946i
\(589\) 2.69784e7 8.74617e7i 0.132029 0.428028i
\(590\) −2.87450e7 3.83575e8i −0.139961 1.86765i
\(591\) −9.71842e7 7.75018e7i −0.470797 0.375448i
\(592\) 4.14163e7 + 1.34268e8i 0.199621 + 0.647156i
\(593\) 1.54840e8 6.07702e7i 0.742538 0.291425i 0.0362438 0.999343i \(-0.488461\pi\)
0.706294 + 0.707918i \(0.250365\pi\)
\(594\) 1.18743e6 + 5.20246e6i 0.00566563 + 0.0248227i
\(595\) 4.45332e7 7.71337e7i 0.211413 0.366179i
\(596\) 7.09597e7 4.09686e7i 0.335176 0.193514i
\(597\) 4.09637e7 3.80087e7i 0.192520 0.178632i
\(598\) −1.96750e8 + 1.56903e8i −0.920051 + 0.733717i
\(599\) 7.76033e7 + 5.29090e7i 0.361077 + 0.246178i 0.730246 0.683184i \(-0.239405\pi\)
−0.369169 + 0.929362i \(0.620358\pi\)
\(600\) 2.44913e8 + 1.17944e8i 1.13386 + 0.546037i
\(601\) 7.38908e7i 0.340382i 0.985411 + 0.170191i \(0.0544385\pi\)
−0.985411 + 0.170191i \(0.945561\pi\)
\(602\) −2.58492e7 1.11438e7i −0.118484 0.0510790i
\(603\) 7.24219e7 0.330307
\(604\) 5.24537e7 1.08921e8i 0.238048 0.494312i
\(605\) 1.68997e8 2.47874e8i 0.763157 1.11935i
\(606\) 1.51865e8 + 1.90433e8i 0.682403 + 0.855706i
\(607\) 1.55497e8 + 1.67586e8i 0.695274 + 0.749327i 0.977710 0.209959i \(-0.0673330\pi\)
−0.282436 + 0.959286i \(0.591143\pi\)
\(608\) −1.97387e7 3.41885e7i −0.0878230 0.152114i
\(609\) 1.31784e7 + 7.60853e6i 0.0583458 + 0.0336859i
\(610\) 4.78729e6 1.09267e6i 0.0210912 0.00481392i
\(611\) 2.38629e7 + 6.08017e7i 0.104616 + 0.266558i
\(612\) −1.07662e8 + 3.32094e7i −0.469688 + 0.144879i
\(613\) 1.12897e8 1.41568e8i 0.490118 0.614589i −0.473850 0.880605i \(-0.657136\pi\)
0.963968 + 0.266017i \(0.0857076\pi\)
\(614\) 2.11490e8 1.58490e7i 0.913660 0.0684694i
\(615\) −3.31658e8 1.02303e8i −1.42582 0.439808i
\(616\) −3.24650e6 + 2.21342e6i −0.0138891 + 0.00946940i
\(617\) −4.13073e8 + 6.22607e7i −1.75862 + 0.265069i −0.947486 0.319797i \(-0.896385\pi\)
−0.811130 + 0.584865i \(0.801147\pi\)
\(618\) 1.09729e7 4.80755e7i 0.0464897 0.203685i
\(619\) 6.10816e7 + 5.66755e7i 0.257536 + 0.238959i 0.798365 0.602174i \(-0.205699\pi\)
−0.540828 + 0.841133i \(0.681889\pi\)
\(620\) −1.71354e8 1.28412e7i −0.718985 0.0538804i
\(621\) −6.08373e7 2.38769e7i −0.254036 0.0997018i
\(622\) 4.22100e7 2.80045e8i 0.175406 1.16374i
\(623\) 1.78245e7 8.58384e6i 0.0737147 0.0354991i
\(624\) 1.31390e8 + 2.72835e8i 0.540767 + 1.12291i
\(625\) 2.68516e8 + 4.04723e7i 1.09984 + 0.165775i
\(626\) 4.41609e7 1.12520e8i 0.180017 0.458677i
\(627\) 670231. 8.94360e6i 0.00271908 0.0362836i
\(628\) 5.85774e6 6.31315e6i 0.0236511 0.0254898i
\(629\) 5.73186e8 + 1.30826e8i 2.30327 + 0.525705i
\(630\) 5.00553e6 + 3.32095e7i 0.0200184 + 0.132813i
\(631\) −2.70306e7 3.96466e7i −0.107589 0.157804i 0.768668 0.639648i \(-0.220920\pi\)
−0.876257 + 0.481844i \(0.839967\pi\)
\(632\) −3.81662e6 + 1.23732e7i −0.0151192 + 0.0490151i
\(633\) −3.06183e7 4.08573e8i −0.120717 1.61086i
\(634\) −4.47343e7 3.56744e7i −0.175539 0.139987i
\(635\) 8.84001e7 + 2.86586e8i 0.345248 + 1.11927i
\(636\) 6.14619e7 2.41220e7i 0.238910 0.0937653i
\(637\) −9.36502e7 4.10308e8i −0.362318 1.58742i
\(638\) 3.35966e6 5.81909e6i 0.0129370 0.0224075i
\(639\) 1.09411e8 6.31684e7i 0.419332 0.242102i
\(640\) 6.67740e7 6.19572e7i 0.254723 0.236348i
\(641\) 1.38957e8 1.10815e8i 0.527604 0.420750i −0.323124 0.946357i \(-0.604733\pi\)
0.850728 + 0.525607i \(0.176162\pi\)
\(642\) 9.73642e7 + 6.63818e7i 0.367955 + 0.250867i
\(643\) 7.06690e7 + 3.40324e7i 0.265825 + 0.128015i 0.562049 0.827104i \(-0.310013\pi\)
−0.296224 + 0.955119i \(0.595727\pi\)
\(644\) 1.19173e7i 0.0446191i
\(645\) −3.19334e8 3.67812e8i −1.19005 1.37071i
\(646\) 1.21195e8 0.449558
\(647\) −1.05734e8 + 2.19558e8i −0.390392 + 0.810657i 0.609449 + 0.792825i \(0.291391\pi\)
−0.999841 + 0.0178321i \(0.994324\pi\)
\(648\) −1.97214e8 + 2.89259e8i −0.724789 + 1.06307i
\(649\) 2.79274e7 + 3.50198e7i 0.102164 + 0.128109i
\(650\) −2.22527e8 2.39827e8i −0.810294 0.873290i
\(651\) −4.61784e7 7.99834e7i −0.167377 0.289906i
\(652\) −6.58040e7 3.79920e7i −0.237416 0.137072i
\(653\) −3.49521e8 + 7.97758e7i −1.25526 + 0.286505i −0.797907 0.602781i \(-0.794059\pi\)
−0.457352 + 0.889286i \(0.651202\pi\)
\(654\) −8.06362e7 2.05458e8i −0.288268 0.734495i
\(655\) −8.76550e7 + 2.70380e7i −0.311927 + 0.0962167i
\(656\) −8.13826e7 + 1.02051e8i −0.288284 + 0.361496i
\(657\) 1.92194e8 1.44030e7i 0.677711 0.0507874i
\(658\) 6.02398e6 + 1.85815e6i 0.0211449 + 0.00652234i
\(659\) 2.39881e8 1.63548e8i 0.838186 0.571466i −0.0663822 0.997794i \(-0.521146\pi\)
0.904568 + 0.426329i \(0.140193\pi\)
\(660\) −1.66497e7 + 2.50954e6i −0.0579129 + 0.00872897i
\(661\) 8.39389e6 3.67760e7i 0.0290642 0.127339i −0.958315 0.285715i \(-0.907769\pi\)
0.987379 + 0.158377i \(0.0506260\pi\)
\(662\) −1.82854e8 1.69664e8i −0.630276 0.584811i
\(663\) 1.26354e9 + 9.46889e7i 4.33558 + 0.324907i
\(664\) −7.18763e7 2.82094e7i −0.245517 0.0963583i
\(665\) −2.64189e6 + 1.75278e7i −0.00898359 + 0.0596022i
\(666\) −1.99738e8 + 9.61886e7i −0.676141 + 0.325613i
\(667\) 3.57060e7 + 7.41442e7i 0.120327 + 0.249862i
\(668\) −1.55176e8 2.33889e7i −0.520588 0.0784659i
\(669\) −1.55351e8 + 3.95827e8i −0.518842 + 1.32199i
\(670\) −1.09296e7 + 1.45846e8i −0.0363397 + 0.484919i
\(671\) −388929. + 419166.i −0.00128737 + 0.00138745i
\(672\) −3.88362e7 8.86410e6i −0.127976 0.0292097i
\(673\) 2.72988e7 + 1.81115e8i 0.0895566 + 0.594169i 0.987926 + 0.154928i \(0.0495146\pi\)
−0.898369 + 0.439241i \(0.855247\pi\)
\(674\) 1.03919e8 + 1.52421e8i 0.339403 + 0.497813i
\(675\) 2.50439e7 8.11904e7i 0.0814312 0.263993i
\(676\) 1.35851e7 + 1.81280e8i 0.0439767 + 0.586828i
\(677\) −1.36368e7 1.08749e7i −0.0439486 0.0350478i 0.601269 0.799047i \(-0.294662\pi\)
−0.645218 + 0.763999i \(0.723233\pi\)
\(678\) 1.44766e8 + 4.69321e8i 0.464492 + 1.50585i
\(679\) 4.81697e7 1.89052e7i 0.153874 0.0603910i
\(680\) −2.04449e8 8.95748e8i −0.650216 2.84878i
\(681\) −4.83846e7 + 8.38046e7i −0.153203 + 0.265355i
\(682\) −3.53178e7 + 2.03908e7i −0.111337 + 0.0642807i
\(683\) −1.22422e8 + 1.13591e8i −0.384237 + 0.356520i −0.848516 0.529169i \(-0.822504\pi\)
0.464280 + 0.885689i \(0.346313\pi\)
\(684\) 1.75309e7 1.39804e7i 0.0547818 0.0436870i
\(685\) −4.27514e8 2.91474e8i −1.33008 0.906834i
\(686\) −7.41247e7 3.56966e7i −0.229610 0.110574i
\(687\) 6.24038e8i 1.92460i
\(688\) −1.72638e8 + 6.12564e7i −0.530117 + 0.188099i
\(689\) −3.20885e8 −0.981052
\(690\) −1.82356e8 + 3.78666e8i −0.555102 + 1.15268i
\(691\) 5.90833e7 8.66592e7i 0.179073 0.262652i −0.726199 0.687485i \(-0.758715\pi\)
0.905272 + 0.424833i \(0.139667\pi\)
\(692\) 9.32294e7 + 1.16906e8i 0.281342 + 0.352792i
\(693\) −2.66007e6 2.86688e6i −0.00799271 0.00861409i
\(694\) 2.09937e8 + 3.63621e8i 0.628073 + 1.08785i
\(695\) −4.33454e8 2.50255e8i −1.29119 0.745466i
\(696\) 1.53039e8 3.49302e7i 0.453916 0.103603i
\(697\) 1.99533e8 + 5.08401e8i 0.589272 + 1.50144i
\(698\) 1.69325e8 5.22299e7i 0.497915 0.153586i
\(699\) 2.82547e8 3.54303e8i 0.827293 1.03739i
\(700\) 1.54498e7 1.15780e6i 0.0450432 0.00337552i
\(701\) −2.32649e8 7.17629e7i −0.675380 0.208327i −0.0619535 0.998079i \(-0.519733\pi\)
−0.613426 + 0.789752i \(0.710209\pi\)
\(702\) 1.23968e8 8.45198e7i 0.358342 0.244313i
\(703\) −1.15701e8 + 1.74391e7i −0.333021 + 0.0501948i
\(704\) −8.19491e6 + 3.59043e7i −0.0234869 + 0.102903i
\(705\) 7.99658e7 + 7.41974e7i 0.228211 + 0.211749i
\(706\) −4.28446e8 3.21076e7i −1.21754 0.0912417i
\(707\) 5.21832e7 + 2.04804e7i 0.147663 + 0.0579536i
\(708\) −3.86227e7 + 2.56245e8i −0.108828 + 0.722029i
\(709\) −6.52526e7 + 3.14240e7i −0.183088 + 0.0881704i −0.523182 0.852221i \(-0.675255\pi\)
0.340094 + 0.940391i \(0.389541\pi\)
\(710\) 1.10699e8 + 2.29869e8i 0.309292 + 0.642251i
\(711\) −1.27440e7 1.92084e6i −0.0354565 0.00534421i
\(712\) 7.45601e7 1.89976e8i 0.206570 0.526331i
\(713\) 3.73252e7 4.98070e8i 0.102975 1.37411i
\(714\) 8.31797e7 8.96464e7i 0.228519 0.246285i
\(715\) 7.97797e7 + 1.82092e7i 0.218260 + 0.0498164i
\(716\) −3.26240e7 2.16446e8i −0.0888788 0.589672i
\(717\) −1.58112e8 2.31907e8i −0.428950 0.629154i
\(718\) −1.08278e8 + 3.51028e8i −0.292527 + 0.948349i
\(719\) 1.82117e7 + 2.43018e8i 0.0489964 + 0.653811i 0.966596 + 0.256305i \(0.0825052\pi\)
−0.917600 + 0.397506i \(0.869876\pi\)
\(720\) 1.70875e8 + 1.36268e8i 0.457806 + 0.365088i
\(721\) −3.34521e6 1.08449e7i −0.00892520 0.0289348i
\(722\) 2.64502e8 1.03809e8i 0.702776 0.275819i
\(723\) −4.30419e7 1.88579e8i −0.113887 0.498974i
\(724\) 1.06624e8 1.84679e8i 0.280957 0.486633i
\(725\) −9.26530e7 + 5.34932e7i −0.243134 + 0.140373i
\(726\) 3.01956e8 2.80174e8i 0.789104 0.732181i
\(727\) 5.38551e8 4.29480e8i 1.40160 1.11774i 0.424385 0.905482i \(-0.360490\pi\)
0.977214 0.212256i \(-0.0680810\pi\)
\(728\) 9.12813e7 + 6.22345e7i 0.236585 + 0.161301i
\(729\) −1.67047e8 8.04454e7i −0.431177 0.207644i
\(730\) 3.89221e8i 1.00053i
\(731\) −1.39207e8 + 7.53733e8i −0.356376 + 1.92959i
\(732\) −3.30814e6 −0.00843432
\(733\) −4.57975e7 + 9.50994e7i −0.116287 + 0.241472i −0.950986 0.309235i \(-0.899927\pi\)
0.834699 + 0.550706i \(0.185641\pi\)
\(734\) −2.32124e8 + 3.40463e8i −0.586990 + 0.860957i
\(735\) −4.38239e8 5.49535e8i −1.10370 1.38399i
\(736\) −1.46528e8 1.57919e8i −0.367525 0.396098i
\(737\) −8.51557e6 1.47494e7i −0.0212721 0.0368444i
\(738\) −1.78350e8 1.02970e8i −0.443715 0.256179i
\(739\) −3.56114e8 + 8.12808e7i −0.882381 + 0.201398i −0.639623 0.768689i \(-0.720909\pi\)
−0.242759 + 0.970087i \(0.578052\pi\)
\(740\) 8.02547e7 + 2.04486e8i 0.198050 + 0.504623i
\(741\) −2.40968e8 + 7.43288e7i −0.592249 + 0.182685i
\(742\) −1.93096e7 + 2.42135e7i −0.0472675 + 0.0592715i
\(743\) 5.22825e8 3.91803e7i 1.27465 0.0955216i 0.579848 0.814725i \(-0.303112\pi\)
0.694800 + 0.719203i \(0.255493\pi\)
\(744\) −9.10401e8 2.80822e8i −2.21062 0.681886i
\(745\) −5.49498e8 + 3.74641e8i −1.32891 + 0.906039i
\(746\) 1.69975e8 2.56196e7i 0.409420 0.0617101i
\(747\) 1.71014e7 7.49260e7i 0.0410270 0.179751i
\(748\) 1.94226e7 + 1.80216e7i 0.0464091 + 0.0430614i
\(749\) 2.70451e7 + 2.02675e6i 0.0643640 + 0.00482341i
\(750\) 7.52466e7 + 2.95321e7i 0.178362 + 0.0700021i
\(751\) 9.14230e7 6.06552e8i 0.215842 1.43202i −0.574075 0.818803i \(-0.694638\pi\)
0.789917 0.613214i \(-0.210124\pi\)
\(752\) 3.69619e7 1.77999e7i 0.0869162 0.0418567i
\(753\) 2.75978e8 + 5.73074e8i 0.646382 + 1.34223i
\(754\) −1.86816e8 2.81579e7i −0.435812 0.0656881i
\(755\) −3.58492e8 + 9.13424e8i −0.832989 + 2.12242i
\(756\) −530976. + 7.08538e6i −0.00122888 + 0.0163983i
\(757\) 1.50306e8 1.61991e8i 0.346488 0.373426i −0.535630 0.844452i \(-0.679926\pi\)
0.882119 + 0.471027i \(0.156116\pi\)
\(758\) −3.10405e8 7.08479e7i −0.712723 0.162674i
\(759\) −7.29441e6 4.83952e7i −0.0166826 0.110682i
\(760\) 1.03006e8 + 1.51081e8i 0.234650 + 0.344168i
\(761\) −2.29756e8 + 7.44851e8i −0.521331 + 1.69011i 0.185428 + 0.982658i \(0.440633\pi\)
−0.706759 + 0.707455i \(0.749843\pi\)
\(762\) 3.07731e7 + 4.10639e8i 0.0695515 + 0.928100i
\(763\) −3.97151e7 3.16717e7i &minus