Properties

Label 43.7.d.a.7.10
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.12

$q$-expansion

\(f(q)\) \(=\) \(q-0.178867i q^{2} +(33.4310 - 19.3014i) q^{3} +63.9680 q^{4} +(21.1050 - 12.1850i) q^{5} +(-3.45239 - 5.97972i) q^{6} +(409.144 + 236.219i) q^{7} -22.8893i q^{8} +(380.590 - 659.200i) q^{9} +O(q^{10})\) \(q-0.178867i q^{2} +(33.4310 - 19.3014i) q^{3} +63.9680 q^{4} +(21.1050 - 12.1850i) q^{5} +(-3.45239 - 5.97972i) q^{6} +(409.144 + 236.219i) q^{7} -22.8893i q^{8} +(380.590 - 659.200i) q^{9} +(-2.17950 - 3.77500i) q^{10} -2215.98 q^{11} +(2138.52 - 1234.67i) q^{12} +(-1297.50 + 2247.34i) q^{13} +(42.2519 - 73.1824i) q^{14} +(470.375 - 814.714i) q^{15} +4089.86 q^{16} +(4482.76 - 7764.38i) q^{17} +(-117.909 - 68.0750i) q^{18} +(-699.671 + 403.955i) q^{19} +(1350.05 - 779.449i) q^{20} +18237.5 q^{21} +396.366i q^{22} +(-2740.91 - 4747.39i) q^{23} +(-441.796 - 765.213i) q^{24} +(-7515.55 + 13017.3i) q^{25} +(401.975 + 232.081i) q^{26} -1242.21i q^{27} +(26172.1 + 15110.5i) q^{28} +(-14764.0 - 8523.98i) q^{29} +(-145.726 - 84.1347i) q^{30} +(-22545.1 - 39049.2i) q^{31} -2196.46i q^{32} +(-74082.5 + 42771.6i) q^{33} +(-1388.79 - 801.820i) q^{34} +11513.3 q^{35} +(24345.6 - 42167.7i) q^{36} +(-8880.63 + 5127.23i) q^{37} +(72.2544 + 125.148i) q^{38} +100174. i q^{39} +(-278.906 - 483.079i) q^{40} -16946.4 q^{41} -3262.08i q^{42} +(-43171.4 + 66765.2i) q^{43} -141752. q^{44} -18549.9i q^{45} +(-849.154 + 490.259i) q^{46} +73062.3 q^{47} +(136728. - 78940.1i) q^{48} +(52774.4 + 91408.0i) q^{49} +(2328.37 + 1344.29i) q^{50} -346095. i q^{51} +(-82998.6 + 143758. i) q^{52} +(96238.4 + 166690. i) q^{53} -222.190 q^{54} +(-46768.3 + 27001.7i) q^{55} +(5406.89 - 9365.00i) q^{56} +(-15593.8 + 27009.3i) q^{57} +(-1524.66 + 2640.79i) q^{58} -137040. q^{59} +(30089.0 - 52115.6i) q^{60} +(-354650. - 204757. i) q^{61} +(-6984.63 + 4032.58i) q^{62} +(311432. - 179805. i) q^{63} +261358. q^{64} +63240.2i q^{65} +(7650.43 + 13250.9i) q^{66} +(159277. + 275876. i) q^{67} +(286754. - 496672. i) q^{68} +(-183263. - 105807. i) q^{69} -2059.35i q^{70} +(449201. + 259346. i) q^{71} +(-15088.6 - 8711.42i) q^{72} +(189212. + 109242. i) q^{73} +(917.094 + 1588.45i) q^{74} +580243. i q^{75} +(-44756.6 + 25840.2i) q^{76} +(-906654. - 523457. i) q^{77} +17917.9 q^{78} +(384737. - 666383. i) q^{79} +(86316.5 - 49834.9i) q^{80} +(253473. + 439029. i) q^{81} +3031.15i q^{82} +(126330. + 218810. i) q^{83} +1.16661e6 q^{84} -218490. i q^{85} +(11942.1 + 7721.95i) q^{86} -658099. q^{87} +50722.2i q^{88} +(-434782. + 251021. i) q^{89} -3317.97 q^{90} +(-1.06173e6 + 612989. i) q^{91} +(-175331. - 303681. i) q^{92} +(-1.50741e6 - 870304. i) q^{93} -13068.5i q^{94} +(-9844.38 + 17051.0i) q^{95} +(-42394.7 - 73429.8i) q^{96} +280574. q^{97} +(16349.9 - 9439.62i) q^{98} +(-843379. + 1.46078e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.178867i 0.0223584i −0.999938 0.0111792i \(-0.996441\pi\)
0.999938 0.0111792i \(-0.00355853\pi\)
\(3\) 33.4310 19.3014i 1.23819 0.714867i 0.269463 0.963011i \(-0.413154\pi\)
0.968723 + 0.248143i \(0.0798204\pi\)
\(4\) 63.9680 0.999500
\(5\) 21.1050 12.1850i 0.168840 0.0974799i −0.413199 0.910641i \(-0.635588\pi\)
0.582039 + 0.813161i \(0.302255\pi\)
\(6\) −3.45239 5.97972i −0.0159833 0.0276839i
\(7\) 409.144 + 236.219i 1.19284 + 0.688685i 0.958949 0.283578i \(-0.0915214\pi\)
0.233889 + 0.972263i \(0.424855\pi\)
\(8\) 22.8893i 0.0447056i
\(9\) 380.590 659.200i 0.522071 0.904253i
\(10\) −2.17950 3.77500i −0.00217950 0.00377500i
\(11\) −2215.98 −1.66490 −0.832449 0.554101i \(-0.813062\pi\)
−0.832449 + 0.554101i \(0.813062\pi\)
\(12\) 2138.52 1234.67i 1.23757 0.714510i
\(13\) −1297.50 + 2247.34i −0.590579 + 1.02291i 0.403576 + 0.914946i \(0.367767\pi\)
−0.994155 + 0.107966i \(0.965566\pi\)
\(14\) 42.2519 73.1824i 0.0153979 0.0266700i
\(15\) 470.375 814.714i 0.139370 0.241397i
\(16\) 4089.86 0.998501
\(17\) 4482.76 7764.38i 0.912429 1.58037i 0.101807 0.994804i \(-0.467538\pi\)
0.810622 0.585570i \(-0.199129\pi\)
\(18\) −117.909 68.0750i −0.0202177 0.0116727i
\(19\) −699.671 + 403.955i −0.102008 + 0.0588942i −0.550136 0.835075i \(-0.685424\pi\)
0.448128 + 0.893969i \(0.352091\pi\)
\(20\) 1350.05 779.449i 0.168756 0.0974312i
\(21\) 18237.5 1.96928
\(22\) 396.366i 0.0372245i
\(23\) −2740.91 4747.39i −0.225274 0.390186i 0.731128 0.682241i \(-0.238994\pi\)
−0.956402 + 0.292055i \(0.905661\pi\)
\(24\) −441.796 765.213i −0.0319586 0.0553539i
\(25\) −7515.55 + 13017.3i −0.480995 + 0.833108i
\(26\) 401.975 + 232.081i 0.0228707 + 0.0132044i
\(27\) 1242.21i 0.0631106i
\(28\) 26172.1 + 15110.5i 1.19224 + 0.688341i
\(29\) −14764.0 8523.98i −0.605353 0.349501i 0.165791 0.986161i \(-0.446982\pi\)
−0.771145 + 0.636660i \(0.780315\pi\)
\(30\) −145.726 84.1347i −0.00539724 0.00311610i
\(31\) −22545.1 39049.2i −0.756775 1.31077i −0.944487 0.328548i \(-0.893441\pi\)
0.187713 0.982224i \(-0.439893\pi\)
\(32\) 2196.46i 0.0670305i
\(33\) −74082.5 + 42771.6i −2.06146 + 1.19018i
\(34\) −1388.79 801.820i −0.0353346 0.0204005i
\(35\) 11513.3 0.268532
\(36\) 24345.6 42167.7i 0.521810 0.903801i
\(37\) −8880.63 + 5127.23i −0.175323 + 0.101223i −0.585093 0.810966i \(-0.698942\pi\)
0.409770 + 0.912189i \(0.365609\pi\)
\(38\) 72.2544 + 125.148i 0.00131678 + 0.00228073i
\(39\) 100174.i 1.68874i
\(40\) −278.906 483.079i −0.00435790 0.00754811i
\(41\) −16946.4 −0.245881 −0.122941 0.992414i \(-0.539232\pi\)
−0.122941 + 0.992414i \(0.539232\pi\)
\(42\) 3262.08i 0.0440299i
\(43\) −43171.4 + 66765.2i −0.542989 + 0.839740i
\(44\) −141752. −1.66407
\(45\) 18549.9i 0.203566i
\(46\) −849.154 + 490.259i −0.00872394 + 0.00503677i
\(47\) 73062.3 0.703720 0.351860 0.936053i \(-0.385549\pi\)
0.351860 + 0.936053i \(0.385549\pi\)
\(48\) 136728. 78940.1i 1.23633 0.713795i
\(49\) 52774.4 + 91408.0i 0.448575 + 0.776955i
\(50\) 2328.37 + 1344.29i 0.0186270 + 0.0107543i
\(51\) 346095.i 2.60906i
\(52\) −82998.6 + 143758.i −0.590284 + 1.02240i
\(53\) 96238.4 + 166690.i 0.646429 + 1.11965i 0.983970 + 0.178337i \(0.0570716\pi\)
−0.337541 + 0.941311i \(0.609595\pi\)
\(54\) −222.190 −0.00141105
\(55\) −46768.3 + 27001.7i −0.281102 + 0.162294i
\(56\) 5406.89 9365.00i 0.0307881 0.0533266i
\(57\) −15593.8 + 27009.3i −0.0842031 + 0.145844i
\(58\) −1524.66 + 2640.79i −0.00781428 + 0.0135347i
\(59\) −137040. −0.667255 −0.333627 0.942705i \(-0.608273\pi\)
−0.333627 + 0.942705i \(0.608273\pi\)
\(60\) 30089.0 52115.6i 0.139301 0.241276i
\(61\) −354650. 204757.i −1.56246 0.902089i −0.997007 0.0773111i \(-0.975367\pi\)
−0.565457 0.824778i \(-0.691300\pi\)
\(62\) −6984.63 + 4032.58i −0.0293068 + 0.0169203i
\(63\) 311432. 179805.i 1.24549 0.719085i
\(64\) 261358. 0.997002
\(65\) 63240.2i 0.230278i
\(66\) 7650.43 + 13250.9i 0.0266106 + 0.0460909i
\(67\) 159277. + 275876.i 0.529576 + 0.917252i 0.999405 + 0.0344950i \(0.0109823\pi\)
−0.469829 + 0.882757i \(0.655684\pi\)
\(68\) 286754. 496672.i 0.911973 1.57958i
\(69\) −183263. 105807.i −0.557863 0.322082i
\(70\) 2059.35i 0.00600395i
\(71\) 449201. + 259346.i 1.25506 + 0.724612i 0.972111 0.234522i \(-0.0753525\pi\)
0.282953 + 0.959134i \(0.408686\pi\)
\(72\) −15088.6 8711.42i −0.0404252 0.0233395i
\(73\) 189212. + 109242.i 0.486385 + 0.280815i 0.723074 0.690771i \(-0.242729\pi\)
−0.236688 + 0.971586i \(0.576062\pi\)
\(74\) 917.094 + 1588.45i 0.00226318 + 0.00391994i
\(75\) 580243.i 1.37539i
\(76\) −44756.6 + 25840.2i −0.101957 + 0.0588648i
\(77\) −906654. 523457.i −1.98596 1.14659i
\(78\) 17917.9 0.0377576
\(79\) 384737. 666383.i 0.780337 1.35158i −0.151409 0.988471i \(-0.548381\pi\)
0.931746 0.363112i \(-0.118286\pi\)
\(80\) 86316.5 49834.9i 0.168587 0.0973337i
\(81\) 253473. + 439029.i 0.476955 + 0.826110i
\(82\) 3031.15i 0.00549752i
\(83\) 126330. + 218810.i 0.220938 + 0.382677i 0.955093 0.296306i \(-0.0957547\pi\)
−0.734155 + 0.678982i \(0.762421\pi\)
\(84\) 1.16661e6 1.96829
\(85\) 218490.i 0.355774i
\(86\) 11942.1 + 7721.95i 0.0187752 + 0.0121404i
\(87\) −658099. −0.999387
\(88\) 50722.2i 0.0744304i
\(89\) −434782. + 251021.i −0.616739 + 0.356074i −0.775598 0.631227i \(-0.782552\pi\)
0.158859 + 0.987301i \(0.449218\pi\)
\(90\) −3317.97 −0.00455140
\(91\) −1.06173e6 + 612989.i −1.40893 + 0.813446i
\(92\) −175331. 303681.i −0.225161 0.389991i
\(93\) −1.50741e6 870304.i −1.87406 1.08199i
\(94\) 13068.5i 0.0157341i
\(95\) −9844.38 + 17051.0i −0.0114820 + 0.0198874i
\(96\) −42394.7 73429.8i −0.0479179 0.0829963i
\(97\) 280574. 0.307420 0.153710 0.988116i \(-0.450878\pi\)
0.153710 + 0.988116i \(0.450878\pi\)
\(98\) 16349.9 9439.62i 0.0173715 0.0100294i
\(99\) −843379. + 1.46078e6i −0.869195 + 1.50549i
\(100\) −480755. + 832692.i −0.480755 + 0.832692i
\(101\) −128889. + 223242.i −0.125098 + 0.216676i −0.921771 0.387734i \(-0.873258\pi\)
0.796673 + 0.604410i \(0.206591\pi\)
\(102\) −61905.0 −0.0583345
\(103\) −105015. + 181891.i −0.0961034 + 0.166456i −0.910069 0.414458i \(-0.863971\pi\)
0.813965 + 0.580914i \(0.197305\pi\)
\(104\) 51440.0 + 29698.9i 0.0457300 + 0.0264022i
\(105\) 384902. 222223.i 0.332493 0.191965i
\(106\) 29815.3 17213.9i 0.0250335 0.0144531i
\(107\) 25589.6 0.0208887 0.0104444 0.999945i \(-0.496675\pi\)
0.0104444 + 0.999945i \(0.496675\pi\)
\(108\) 79461.5i 0.0630791i
\(109\) −321968. 557665.i −0.248618 0.430620i 0.714524 0.699611i \(-0.246643\pi\)
−0.963143 + 0.268991i \(0.913310\pi\)
\(110\) 4829.72 + 8365.32i 0.00362864 + 0.00628499i
\(111\) −197926. + 342817.i −0.144722 + 0.250665i
\(112\) 1.67334e6 + 966103.i 1.19105 + 0.687653i
\(113\) 1.65435e6i 1.14655i −0.819364 0.573274i \(-0.805673\pi\)
0.819364 0.573274i \(-0.194327\pi\)
\(114\) 4831.08 + 2789.22i 0.00326084 + 0.00188265i
\(115\) −115694. 66795.9i −0.0760706 0.0439194i
\(116\) −944421. 545262.i −0.605051 0.349326i
\(117\) 987631. + 1.71063e6i 0.616648 + 1.06807i
\(118\) 24512.0i 0.0149188i
\(119\) 3.66819e6 2.11783e6i 2.17676 1.25675i
\(120\) −18648.2 10766.6i −0.0107918 0.00623064i
\(121\) 3.13901e6 1.77189
\(122\) −36624.3 + 63435.2i −0.0201693 + 0.0349342i
\(123\) −566535. + 327089.i −0.304447 + 0.175773i
\(124\) −1.44216e6 2.49790e6i −0.756396 1.31012i
\(125\) 747088.i 0.382509i
\(126\) −32161.2 55704.9i −0.0160776 0.0278472i
\(127\) −1.06194e6 −0.518427 −0.259213 0.965820i \(-0.583463\pi\)
−0.259213 + 0.965820i \(0.583463\pi\)
\(128\) 187322.i 0.0893219i
\(129\) −154602. + 3.06530e6i −0.0720190 + 1.42792i
\(130\) 11311.6 0.00514865
\(131\) 3.71966e6i 1.65458i −0.561772 0.827292i \(-0.689880\pi\)
0.561772 0.827292i \(-0.310120\pi\)
\(132\) −4.73891e6 + 2.73601e6i −2.06043 + 1.18959i
\(133\) −381688. −0.162238
\(134\) 49345.1 28489.4i 0.0205083 0.0118405i
\(135\) −15136.3 26216.8i −0.00615202 0.0106556i
\(136\) −177721. 102607.i −0.0706516 0.0407907i
\(137\) 771794.i 0.300151i 0.988675 + 0.150075i \(0.0479517\pi\)
−0.988675 + 0.150075i \(0.952048\pi\)
\(138\) −18925.4 + 32779.7i −0.00720124 + 0.0124729i
\(139\) 601531. + 1.04188e6i 0.223982 + 0.387949i 0.956014 0.293322i \(-0.0947609\pi\)
−0.732031 + 0.681271i \(0.761428\pi\)
\(140\) 736483. 0.268398
\(141\) 2.44255e6 1.41021e6i 0.871337 0.503067i
\(142\) 46388.6 80347.4i 0.0162012 0.0280612i
\(143\) 2.87524e6 4.98006e6i 0.983254 1.70305i
\(144\) 1.55656e6 2.69604e6i 0.521288 0.902897i
\(145\) −415458. −0.136277
\(146\) 19539.8 33843.8i 0.00627857 0.0108748i
\(147\) 3.52861e6 + 2.03724e6i 1.11084 + 0.641344i
\(148\) −568076. + 327979.i −0.175235 + 0.101172i
\(149\) −1.16150e6 + 670594.i −0.351125 + 0.202722i −0.665181 0.746683i \(-0.731645\pi\)
0.314056 + 0.949405i \(0.398312\pi\)
\(150\) 103787. 0.0307516
\(151\) 1.69879e6i 0.493412i 0.969090 + 0.246706i \(0.0793483\pi\)
−0.969090 + 0.246706i \(0.920652\pi\)
\(152\) 9246.25 + 16015.0i 0.00263290 + 0.00456032i
\(153\) −3.41219e6 5.91008e6i −0.952705 1.65013i
\(154\) −93629.3 + 162171.i −0.0256360 + 0.0444028i
\(155\) −951628. 549423.i −0.255548 0.147541i
\(156\) 6.40796e6i 1.68790i
\(157\) 1.24941e6 + 721348.i 0.322854 + 0.186400i 0.652664 0.757647i \(-0.273651\pi\)
−0.329810 + 0.944047i \(0.606985\pi\)
\(158\) −119194. 68816.8i −0.0302192 0.0174471i
\(159\) 6.43470e6 + 3.71507e6i 1.60080 + 0.924222i
\(160\) −26763.8 46356.2i −0.00653413 0.0113174i
\(161\) 2.58982e6i 0.620572i
\(162\) 78527.9 45338.1i 0.0184705 0.0106640i
\(163\) 5.18656e6 + 2.99446e6i 1.19761 + 0.691442i 0.960022 0.279923i \(-0.0903090\pi\)
0.237590 + 0.971365i \(0.423642\pi\)
\(164\) −1.08403e6 −0.245758
\(165\) −1.04234e6 + 1.80539e6i −0.232038 + 0.401901i
\(166\) 39137.9 22596.3i 0.00855604 0.00493983i
\(167\) −3.75798e6 6.50902e6i −0.806874 1.39755i −0.915019 0.403411i \(-0.867824\pi\)
0.108145 0.994135i \(-0.465509\pi\)
\(168\) 417442.i 0.0880377i
\(169\) −953616. 1.65171e6i −0.197567 0.342195i
\(170\) −39080.7 −0.00795454
\(171\) 614965.i 0.122988i
\(172\) −2.76159e6 + 4.27084e6i −0.542718 + 0.839320i
\(173\) 5.82365e6 1.12475 0.562376 0.826882i \(-0.309887\pi\)
0.562376 + 0.826882i \(0.309887\pi\)
\(174\) 117712.i 0.0223447i
\(175\) −6.14988e6 + 3.55063e6i −1.14750 + 0.662509i
\(176\) −9.06305e6 −1.66240
\(177\) −4.58139e6 + 2.64507e6i −0.826186 + 0.476999i
\(178\) 44899.5 + 77768.2i 0.00796126 + 0.0137893i
\(179\) −6.77982e6 3.91433e6i −1.18211 0.682493i −0.225610 0.974218i \(-0.572438\pi\)
−0.956502 + 0.291725i \(0.905771\pi\)
\(180\) 1.18660e6i 0.203464i
\(181\) 1.90257e6 3.29534e6i 0.320851 0.555731i −0.659812 0.751430i \(-0.729364\pi\)
0.980664 + 0.195699i \(0.0626976\pi\)
\(182\) 109644. + 189908.i 0.0181874 + 0.0315014i
\(183\) −1.58084e7 −2.57950
\(184\) −108664. + 62737.5i −0.0174435 + 0.0100710i
\(185\) −124951. + 216421.i −0.0197344 + 0.0341809i
\(186\) −155669. + 269626.i −0.0241915 + 0.0419009i
\(187\) −9.93372e6 + 1.72057e7i −1.51910 + 2.63116i
\(188\) 4.67365e6 0.703368
\(189\) 293433. 508241.i 0.0434634 0.0752808i
\(190\) 3049.86 + 1760.84i 0.000444651 + 0.000256719i
\(191\) 2.39987e6 1.38557e6i 0.344420 0.198851i −0.317805 0.948156i \(-0.602946\pi\)
0.662225 + 0.749305i \(0.269612\pi\)
\(192\) 8.73747e6 5.04458e6i 1.23447 0.712724i
\(193\) 6.27519e6 0.872881 0.436441 0.899733i \(-0.356239\pi\)
0.436441 + 0.899733i \(0.356239\pi\)
\(194\) 50185.5i 0.00687343i
\(195\) 1.22062e6 + 2.11418e6i 0.164618 + 0.285127i
\(196\) 3.37588e6 + 5.84719e6i 0.448351 + 0.776567i
\(197\) 3.26334e6 5.65226e6i 0.426838 0.739305i −0.569752 0.821817i \(-0.692961\pi\)
0.996590 + 0.0825114i \(0.0262941\pi\)
\(198\) 261285. + 150853.i 0.0336604 + 0.0194338i
\(199\) 330761.i 0.0419716i −0.999780 0.0209858i \(-0.993320\pi\)
0.999780 0.0209858i \(-0.00668048\pi\)
\(200\) 297957. + 172026.i 0.0372446 + 0.0215032i
\(201\) 1.06496e7 + 6.14854e6i 1.31143 + 0.757153i
\(202\) 39930.6 + 23054.0i 0.00484453 + 0.00279699i
\(203\) −4.02705e6 6.97506e6i −0.481392 0.833796i
\(204\) 2.21390e7i 2.60776i
\(205\) −357654. + 206492.i −0.0415146 + 0.0239685i
\(206\) 32534.3 + 18783.7i 0.00372169 + 0.00214872i
\(207\) −4.17265e6 −0.470436
\(208\) −5.30660e6 + 9.19130e6i −0.589693 + 1.02138i
\(209\) 1.55046e6 895157.i 0.169833 0.0980529i
\(210\) −39748.4 68846.3i −0.00429203 0.00743401i
\(211\) 7.15112e6i 0.761249i −0.924730 0.380624i \(-0.875709\pi\)
0.924730 0.380624i \(-0.124291\pi\)
\(212\) 6.15618e6 + 1.06628e7i 0.646106 + 1.11909i
\(213\) 2.00230e7 2.07200
\(214\) 4577.14i 0.000467039i
\(215\) −97600.6 + 1.93512e6i −0.00982058 + 0.194712i
\(216\) −28433.2 −0.00282140
\(217\) 2.13023e7i 2.08472i
\(218\) −99748.0 + 57589.5i −0.00962797 + 0.00555871i
\(219\) 8.43408e6 0.802981
\(220\) −2.99168e6 + 1.72724e6i −0.280961 + 0.162213i
\(221\) 1.16328e7 + 2.01486e7i 1.07772 + 1.86667i
\(222\) 61318.8 + 35402.4i 0.00560447 + 0.00323574i
\(223\) 5.29613e6i 0.477577i −0.971072 0.238789i \(-0.923250\pi\)
0.971072 0.238789i \(-0.0767503\pi\)
\(224\) 518845. 898666.i 0.0461629 0.0799566i
\(225\) 5.72068e6 + 9.90851e6i 0.502227 + 0.869883i
\(226\) −295909. −0.0256350
\(227\) −1.07315e7 + 6.19581e6i −0.917448 + 0.529689i −0.882820 0.469712i \(-0.844358\pi\)
−0.0346278 + 0.999400i \(0.511025\pi\)
\(228\) −997506. + 1.72773e6i −0.0841610 + 0.145771i
\(229\) 8.31259e6 1.43978e7i 0.692197 1.19892i −0.278919 0.960315i \(-0.589976\pi\)
0.971116 0.238606i \(-0.0766905\pi\)
\(230\) −11947.6 + 20693.8i −0.000981968 + 0.00170082i
\(231\) −4.04138e7 −3.27864
\(232\) −195108. + 337937.i −0.0156247 + 0.0270627i
\(233\) −4.13781e6 2.38896e6i −0.327116 0.188861i 0.327444 0.944871i \(-0.393813\pi\)
−0.654560 + 0.756010i \(0.727146\pi\)
\(234\) 305975. 176655.i 0.0238802 0.0137873i
\(235\) 1.54198e6 890264.i 0.118816 0.0685986i
\(236\) −8.76619e6 −0.666921
\(237\) 2.97038e7i 2.23135i
\(238\) −378810. 656119.i −0.0280990 0.0486689i
\(239\) 8.58153e6 + 1.48636e7i 0.628595 + 1.08876i 0.987834 + 0.155513i \(0.0497031\pi\)
−0.359239 + 0.933246i \(0.616964\pi\)
\(240\) 1.92377e6 3.33206e6i 0.139161 0.241035i
\(241\) 1.45291e7 + 8.38841e6i 1.03798 + 0.599278i 0.919261 0.393650i \(-0.128788\pi\)
0.118720 + 0.992928i \(0.462121\pi\)
\(242\) 561466.i 0.0396166i
\(243\) 1.77320e7 + 1.02376e7i 1.23577 + 0.713474i
\(244\) −2.26862e7 1.30979e7i −1.56168 0.901638i
\(245\) 2.22761e6 + 1.28611e6i 0.151475 + 0.0874542i
\(246\) 58505.6 + 101335.i 0.00392999 + 0.00680695i
\(247\) 2.09653e6i 0.139127i
\(248\) −893809. + 516041.i −0.0585989 + 0.0338321i
\(249\) 8.44667e6 + 4.87669e6i 0.547126 + 0.315883i
\(250\) 133630. 0.00855230
\(251\) 633490. 1.09724e6i 0.0400607 0.0693872i −0.845300 0.534292i \(-0.820578\pi\)
0.885361 + 0.464905i \(0.153912\pi\)
\(252\) 1.99217e7 1.15018e7i 1.24487 0.718726i
\(253\) 6.07380e6 + 1.05201e7i 0.375059 + 0.649620i
\(254\) 189946.i 0.0115912i
\(255\) −4.21716e6 7.30434e6i −0.254331 0.440515i
\(256\) 1.66934e7 0.995005
\(257\) 2.14413e7i 1.26314i −0.775319 0.631570i \(-0.782411\pi\)
0.775319 0.631570i \(-0.217589\pi\)
\(258\) 548282. + 27653.3i 0.0319260 + 0.00161023i
\(259\) −4.84460e6 −0.278842
\(260\) 4.04535e6i 0.230163i
\(261\) −1.12380e7 + 6.48827e6i −0.632074 + 0.364928i
\(262\) −665325. −0.0369939
\(263\) −2.38389e7 + 1.37634e7i −1.31044 + 0.756585i −0.982169 0.187998i \(-0.939800\pi\)
−0.328274 + 0.944583i \(0.606467\pi\)
\(264\) 979011. + 1.69570e6i 0.0532078 + 0.0921587i
\(265\) 4.06222e6 + 2.34533e6i 0.218286 + 0.126028i
\(266\) 68271.5i 0.00362739i
\(267\) −9.69014e6 + 1.67838e7i −0.509092 + 0.881773i
\(268\) 1.01886e7 + 1.76472e7i 0.529311 + 0.916794i
\(269\) −1.01889e7 −0.523443 −0.261721 0.965143i \(-0.584290\pi\)
−0.261721 + 0.965143i \(0.584290\pi\)
\(270\) −4689.32 + 2707.38i −0.000238242 + 0.000137549i
\(271\) −1.36499e7 + 2.36424e7i −0.685840 + 1.18791i 0.287332 + 0.957831i \(0.407232\pi\)
−0.973172 + 0.230079i \(0.926102\pi\)
\(272\) 1.83339e7 3.17552e7i 0.911061 1.57800i
\(273\) −2.36631e7 + 4.09857e7i −1.16301 + 2.01440i
\(274\) 138049. 0.00671090
\(275\) 1.66543e7 2.88461e7i 0.800809 1.38704i
\(276\) −1.17230e7 6.76826e6i −0.557584 0.321921i
\(277\) −4.43618e6 + 2.56123e6i −0.208723 + 0.120506i −0.600718 0.799461i \(-0.705118\pi\)
0.391995 + 0.919967i \(0.371785\pi\)
\(278\) 186359. 107594.i 0.00867391 0.00500788i
\(279\) −3.43217e7 −1.58036
\(280\) 263531.i 0.0120049i
\(281\) 4.61239e6 + 7.98890e6i 0.207877 + 0.360054i 0.951046 0.309050i \(-0.100011\pi\)
−0.743168 + 0.669105i \(0.766678\pi\)
\(282\) −252240. 436892.i −0.0112478 0.0194817i
\(283\) −98220.8 + 170123.i −0.00433356 + 0.00750594i −0.868184 0.496242i \(-0.834713\pi\)
0.863850 + 0.503748i \(0.168046\pi\)
\(284\) 2.87345e7 + 1.65899e7i 1.25444 + 0.724249i
\(285\) 760042.i 0.0328324i
\(286\) −890769. 514286.i −0.0380774 0.0219840i
\(287\) −6.93351e6 4.00306e6i −0.293297 0.169335i
\(288\) −1.44790e6 835948.i −0.0606126 0.0349947i
\(289\) −2.81216e7 4.87080e7i −1.16505 2.01793i
\(290\) 74311.9i 0.00304694i
\(291\) 9.37989e6 5.41548e6i 0.380644 0.219765i
\(292\) 1.21035e7 + 6.98797e6i 0.486142 + 0.280674i
\(293\) −2.01093e7 −0.799453 −0.399727 0.916634i \(-0.630895\pi\)
−0.399727 + 0.916634i \(0.630895\pi\)
\(294\) 364396. 631153.i 0.0143394 0.0248366i
\(295\) −2.89223e6 + 1.66983e6i −0.112659 + 0.0650439i
\(296\) 117359. + 203271.i 0.00452522 + 0.00783792i
\(297\) 2.75271e6i 0.105073i
\(298\) 119947. + 207755.i 0.00453254 + 0.00785059i
\(299\) 1.42253e7 0.532168
\(300\) 3.71170e7i 1.37470i
\(301\) −3.34345e7 + 1.71186e7i −1.22601 + 0.627725i
\(302\) 303859. 0.0110319
\(303\) 9.95094e6i 0.357714i
\(304\) −2.86156e6 + 1.65212e6i −0.101855 + 0.0588059i
\(305\) −9.97985e6 −0.351742
\(306\) −1.05712e6 + 610329.i −0.0368944 + 0.0213010i
\(307\) 8.74418e6 + 1.51454e7i 0.302207 + 0.523437i 0.976635 0.214903i \(-0.0689434\pi\)
−0.674429 + 0.738340i \(0.735610\pi\)
\(308\) −5.79968e7 3.34845e7i −1.98496 1.14602i
\(309\) 8.10774e6i 0.274805i
\(310\) −98273.8 + 170215.i −0.00329877 + 0.00571364i
\(311\) −3.51236e6 6.08359e6i −0.116766 0.202245i 0.801718 0.597702i \(-0.203920\pi\)
−0.918484 + 0.395457i \(0.870586\pi\)
\(312\) 2.29292e6 0.0754963
\(313\) 4.53068e7 2.61579e7i 1.47751 0.853041i 0.477833 0.878451i \(-0.341422\pi\)
0.999677 + 0.0254099i \(0.00808911\pi\)
\(314\) 129026. 223479.i 0.00416761 0.00721851i
\(315\) 4.38184e6 7.58958e6i 0.140193 0.242821i
\(316\) 2.46108e7 4.26272e7i 0.779947 1.35091i
\(317\) 1.89630e7 0.595290 0.297645 0.954677i \(-0.403799\pi\)
0.297645 + 0.954677i \(0.403799\pi\)
\(318\) 664505. 1.15096e6i 0.0206641 0.0357913i
\(319\) 3.27166e7 + 1.88890e7i 1.00785 + 0.581884i
\(320\) 5.51597e6 3.18464e6i 0.168334 0.0971876i
\(321\) 855487. 493915.i 0.0258641 0.0149327i
\(322\) −463234. −0.0138750
\(323\) 7.24335e6i 0.214947i
\(324\) 1.62142e7 + 2.80838e7i 0.476717 + 0.825697i
\(325\) −1.95029e7 3.37800e7i −0.568131 0.984032i
\(326\) 535611. 927705.i 0.0154595 0.0267767i
\(327\) −2.15274e7 1.24289e7i −0.615672 0.355458i
\(328\) 387891.i 0.0109923i
\(329\) 2.98930e7 + 1.72587e7i 0.839424 + 0.484642i
\(330\) 322925. + 186441.i 0.00898587 + 0.00518799i
\(331\) 1.02372e7 + 5.91047e6i 0.282292 + 0.162981i 0.634461 0.772955i \(-0.281222\pi\)
−0.352168 + 0.935937i \(0.614556\pi\)
\(332\) 8.08106e6 + 1.39968e7i 0.220828 + 0.382485i
\(333\) 7.80548e6i 0.211382i
\(334\) −1.16425e6 + 672180.i −0.0312469 + 0.0180404i
\(335\) 6.72308e6 + 3.88157e6i 0.178827 + 0.103246i
\(336\) 7.45886e7 1.96632
\(337\) 3.63858e7 6.30221e7i 0.950698 1.64666i 0.206779 0.978388i \(-0.433702\pi\)
0.743919 0.668270i \(-0.232965\pi\)
\(338\) −295437. + 170571.i −0.00765094 + 0.00441727i
\(339\) −3.19313e7 5.53066e7i −0.819629 1.41964i
\(340\) 1.39764e7i 0.355596i
\(341\) 4.99594e7 + 8.65323e7i 1.25995 + 2.18230i
\(342\) 109997. 0.00274981
\(343\) 5.71656e6i 0.141662i
\(344\) 1.52821e6 + 988163.i 0.0375411 + 0.0242747i
\(345\) −5.15702e6 −0.125586
\(346\) 1.04166e6i 0.0251477i
\(347\) −1.60242e7 + 9.25159e6i −0.383520 + 0.221426i −0.679349 0.733815i \(-0.737738\pi\)
0.295828 + 0.955241i \(0.404404\pi\)
\(348\) −4.20973e7 −0.998888
\(349\) −2.46821e7 + 1.42502e7i −0.580638 + 0.335232i −0.761387 0.648298i \(-0.775481\pi\)
0.180749 + 0.983529i \(0.442148\pi\)
\(350\) 635092. + 1.10001e6i 0.0148126 + 0.0256563i
\(351\) 2.79166e6 + 1.61176e6i 0.0645566 + 0.0372718i
\(352\) 4.86730e6i 0.111599i
\(353\) −2.31523e6 + 4.01010e6i −0.0526344 + 0.0911655i −0.891142 0.453724i \(-0.850095\pi\)
0.838508 + 0.544890i \(0.183428\pi\)
\(354\) 473116. + 819461.i 0.0106649 + 0.0184722i
\(355\) 1.26405e7 0.282540
\(356\) −2.78121e7 + 1.60573e7i −0.616431 + 0.355896i
\(357\) 8.17542e7 1.41602e8i 1.79682 3.11219i
\(358\) −700145. + 1.21269e6i −0.0152595 + 0.0264302i
\(359\) −2.82098e7 + 4.88608e7i −0.609701 + 1.05603i 0.381589 + 0.924332i \(0.375377\pi\)
−0.991290 + 0.131700i \(0.957956\pi\)
\(360\) −424594. −0.00910053
\(361\) −2.31966e7 + 4.01777e7i −0.493063 + 0.854010i
\(362\) −589429. 340307.i −0.0124253 0.00717373i
\(363\) 1.04940e8 6.05873e7i 2.19393 1.26667i
\(364\) −6.79167e7 + 3.92117e7i −1.40823 + 0.813039i
\(365\) 5.32443e6 0.109495
\(366\) 2.82761e6i 0.0576734i
\(367\) −2.37712e7 4.11730e7i −0.480899 0.832941i 0.518861 0.854858i \(-0.326356\pi\)
−0.999760 + 0.0219178i \(0.993023\pi\)
\(368\) −1.12099e7 1.94162e7i −0.224936 0.389601i
\(369\) −6.44962e6 + 1.11711e7i −0.128367 + 0.222339i
\(370\) 38710.6 + 22349.6i 0.000764230 + 0.000441229i
\(371\) 9.09334e7i 1.78074i
\(372\) −9.64260e7 5.56716e7i −1.87312 1.08145i
\(373\) −1.48860e7 8.59445e6i −0.286848 0.165612i 0.349671 0.936872i \(-0.386293\pi\)
−0.636520 + 0.771260i \(0.719627\pi\)
\(374\) 3.07754e6 + 1.77682e6i 0.0588286 + 0.0339647i
\(375\) 1.44199e7 + 2.49759e7i 0.273443 + 0.473618i
\(376\) 1.67234e6i 0.0314603i
\(377\) 3.83125e7 2.21197e7i 0.715018 0.412816i
\(378\) −90907.6 52485.5i −0.00168316 0.000971772i
\(379\) 1.90456e7 0.349845 0.174923 0.984582i \(-0.444032\pi\)
0.174923 + 0.984582i \(0.444032\pi\)
\(380\) −629725. + 1.09072e6i −0.0114763 + 0.0198775i
\(381\) −3.55016e7 + 2.04969e7i −0.641909 + 0.370606i
\(382\) −247832. 429258.i −0.00444599 0.00770067i
\(383\) 7.74568e6i 0.137868i −0.997621 0.0689340i \(-0.978040\pi\)
0.997621 0.0689340i \(-0.0219598\pi\)
\(384\) −3.61557e6 6.26236e6i −0.0638533 0.110597i
\(385\) −2.55133e7 −0.447079
\(386\) 1.12243e6i 0.0195162i
\(387\) 2.75811e7 + 5.38688e7i 0.475859 + 0.929403i
\(388\) 1.79478e7 0.307267
\(389\) 4.56709e7i 0.775873i 0.921686 + 0.387936i \(0.126812\pi\)
−0.921686 + 0.387936i \(0.873188\pi\)
\(390\) 378158. 218330.i 0.00637499 0.00368061i
\(391\) −4.91474e7 −0.822187
\(392\) 2.09226e6 1.20797e6i 0.0347343 0.0200538i
\(393\) −7.17947e7 1.24352e8i −1.18281 2.04868i
\(394\) −1.01101e6 583704.i −0.0165297 0.00954342i
\(395\) 1.87520e7i 0.304269i
\(396\) −5.39493e7 + 9.34429e7i −0.868760 + 1.50474i
\(397\) −4.87047e6 8.43590e6i −0.0778393 0.134822i 0.824478 0.565894i \(-0.191469\pi\)
−0.902317 + 0.431072i \(0.858135\pi\)
\(398\) −59162.4 −0.000938418
\(399\) −1.27602e7 + 7.36712e6i −0.200881 + 0.115979i
\(400\) −3.07375e7 + 5.32390e7i −0.480274 + 0.831859i
\(401\) −4.77822e7 + 8.27612e7i −0.741025 + 1.28349i 0.211003 + 0.977485i \(0.432327\pi\)
−0.952029 + 0.306008i \(0.901006\pi\)
\(402\) 1.09977e6 1.90486e6i 0.0169287 0.0293214i
\(403\) 1.17009e8 1.78774
\(404\) −8.24475e6 + 1.42803e7i −0.125036 + 0.216568i
\(405\) 1.06991e7 + 6.17714e6i 0.161058 + 0.0929871i
\(406\) −1.24761e6 + 720308.i −0.0186424 + 0.0107632i
\(407\) 1.96793e7 1.13618e7i 0.291895 0.168526i
\(408\) −7.92186e6 −0.116640
\(409\) 4.52816e7i 0.661838i −0.943659 0.330919i \(-0.892641\pi\)
0.943659 0.330919i \(-0.107359\pi\)
\(410\) 36934.6 + 63972.6i 0.000535897 + 0.000928201i
\(411\) 1.48967e7 + 2.58019e7i 0.214568 + 0.371643i
\(412\) −6.71759e6 + 1.16352e7i −0.0960553 + 0.166373i
\(413\) −5.60691e7 3.23715e7i −0.795927 0.459529i
\(414\) 746350.i 0.0105182i
\(415\) 5.33238e6 + 3.07865e6i 0.0746066 + 0.0430741i
\(416\) 4.93618e6 + 2.84991e6i 0.0685663 + 0.0395868i
\(417\) 4.02196e7 + 2.32208e7i 0.554663 + 0.320235i
\(418\) −160114. 277326.i −0.00219231 0.00379719i
\(419\) 8.63187e7i 1.17344i 0.809788 + 0.586722i \(0.199582\pi\)
−0.809788 + 0.586722i \(0.800418\pi\)
\(420\) 2.46214e7 1.42152e7i 0.332326 0.191869i
\(421\) 1.13997e8 + 6.58164e7i 1.52774 + 0.882039i 0.999456 + 0.0329689i \(0.0104962\pi\)
0.528280 + 0.849070i \(0.322837\pi\)
\(422\) −1.27910e6 −0.0170203
\(423\) 2.78068e7 4.81627e7i 0.367392 0.636341i
\(424\) 3.81541e6 2.20283e6i 0.0500546 0.0288990i
\(425\) 6.73809e7 + 1.16707e8i 0.877748 + 1.52030i
\(426\) 3.58146e6i 0.0463267i
\(427\) −9.67351e7 1.67550e8i −1.24251 2.15209i
\(428\) 1.63692e6 0.0208783
\(429\) 2.21985e8i 2.81158i
\(430\) 346130. + 17457.5i 0.00435346 + 0.000219572i
\(431\) −1.35712e8 −1.69507 −0.847535 0.530739i \(-0.821914\pi\)
−0.847535 + 0.530739i \(0.821914\pi\)
\(432\) 5.08045e6i 0.0630160i
\(433\) −6.05621e7 + 3.49656e7i −0.745998 + 0.430702i −0.824246 0.566232i \(-0.808401\pi\)
0.0782483 + 0.996934i \(0.475067\pi\)
\(434\) −3.81029e6 −0.0466110
\(435\) −1.38892e7 + 8.01893e6i −0.168737 + 0.0974202i
\(436\) −2.05956e7 3.56727e7i −0.248494 0.430404i
\(437\) 3.83547e6 + 2.21441e6i 0.0459594 + 0.0265347i
\(438\) 1.50858e6i 0.0179534i
\(439\) 2.08090e7 3.60422e7i 0.245956 0.426008i −0.716444 0.697644i \(-0.754232\pi\)
0.962400 + 0.271637i \(0.0875649\pi\)
\(440\) 618049. + 1.07049e6i 0.00725546 + 0.0125668i
\(441\) 8.03416e7 0.936752
\(442\) 3.60392e6 2.08072e6i 0.0417358 0.0240962i
\(443\) −2.22030e7 + 3.84568e7i −0.255388 + 0.442346i −0.965001 0.262246i \(-0.915537\pi\)
0.709613 + 0.704592i \(0.248870\pi\)
\(444\) −1.26609e7 + 2.19293e7i −0.144649 + 0.250540i
\(445\) −6.11739e6 + 1.05956e7i −0.0694202 + 0.120239i
\(446\) −947304. −0.0106779
\(447\) −2.58868e7 + 4.48373e7i −0.289839 + 0.502015i
\(448\) 1.06933e8 + 6.17378e7i 1.18926 + 0.686621i
\(449\) −8.53762e7 + 4.92920e7i −0.943187 + 0.544549i −0.890958 0.454086i \(-0.849966\pi\)
−0.0522293 + 0.998635i \(0.516633\pi\)
\(450\) 1.77231e6 1.02324e6i 0.0194492 0.0112290i
\(451\) 3.75529e7 0.409368
\(452\) 1.05825e8i 1.14597i
\(453\) 3.27891e7 + 5.67925e7i 0.352724 + 0.610937i
\(454\) 1.10823e6 + 1.91951e6i 0.0118430 + 0.0205127i
\(455\) −1.49385e7 + 2.58743e7i −0.158589 + 0.274685i
\(456\) 618223. + 356931.i 0.00652005 + 0.00376435i
\(457\) 1.09959e8i 1.15208i −0.817421 0.576040i \(-0.804597\pi\)
0.817421 0.576040i \(-0.195403\pi\)
\(458\) −2.57530e6 1.48685e6i −0.0268060 0.0154764i
\(459\) −9.64496e6 5.56852e6i −0.0997384 0.0575840i
\(460\) −7.40071e6 4.27280e6i −0.0760326 0.0438974i
\(461\) −1.89039e7 3.27425e7i −0.192952 0.334202i 0.753276 0.657705i \(-0.228473\pi\)
−0.946227 + 0.323503i \(0.895139\pi\)
\(462\) 7.22871e6i 0.0733053i
\(463\) −1.55142e8 + 8.95710e7i −1.56309 + 0.902453i −0.566152 + 0.824301i \(0.691569\pi\)
−0.996941 + 0.0781522i \(0.975098\pi\)
\(464\) −6.03825e7 3.48619e7i −0.604446 0.348977i
\(465\) −4.24186e7 −0.421888
\(466\) −427307. + 740118.i −0.00422263 + 0.00731380i
\(467\) 1.00634e8 5.81011e7i 0.988085 0.570471i 0.0833836 0.996518i \(-0.473427\pi\)
0.904701 + 0.426046i \(0.140094\pi\)
\(468\) 6.31768e7 + 1.09425e8i 0.616340 + 1.06753i
\(469\) 1.50497e8i 1.45885i
\(470\) −159239. 275810.i −0.00153375 0.00265654i
\(471\) 5.56922e7 0.533005
\(472\) 3.13675e6i 0.0298301i
\(473\) 9.56670e7 1.47950e8i 0.904022 1.39808i
\(474\) −5.31305e6 −0.0498894
\(475\) 1.21438e7i 0.113311i
\(476\) 2.34647e8 1.35473e8i 2.17567 1.25613i
\(477\) 1.46509e8 1.34993
\(478\) 2.65862e6 1.53495e6i 0.0243429 0.0140544i
\(479\) −4.44217e7 7.69407e7i −0.404193 0.700083i 0.590034 0.807378i \(-0.299114\pi\)
−0.994227 + 0.107295i \(0.965781\pi\)
\(480\) −1.78948e6 1.03316e6i −0.0161809 0.00934207i
\(481\) 2.66104e7i 0.239120i
\(482\) 1.50041e6 2.59879e6i 0.0133989 0.0232076i
\(483\) −4.99872e7 8.65804e7i −0.443627 0.768384i
\(484\) 2.00796e8 1.77100
\(485\) 5.92152e6 3.41879e6i 0.0519049 0.0299673i
\(486\) 1.83117e6 3.17168e6i 0.0159522 0.0276299i
\(487\) 3.22567e6 5.58702e6i 0.0279275 0.0483719i −0.851724 0.523991i \(-0.824443\pi\)
0.879651 + 0.475619i \(0.157776\pi\)
\(488\) −4.68674e6 + 8.11768e6i −0.0403285 + 0.0698509i
\(489\) 2.31189e8 1.97716
\(490\) 230043. 398447.i 0.00195534 0.00338674i
\(491\) −7.30050e7 4.21494e7i −0.616748 0.356080i 0.158854 0.987302i \(-0.449220\pi\)
−0.775602 + 0.631222i \(0.782554\pi\)
\(492\) −3.62401e7 + 2.09233e7i −0.304295 + 0.175685i
\(493\) −1.32367e8 + 7.64220e7i −1.10468 + 0.637790i
\(494\) −375001. −0.00311065
\(495\) 4.11063e7i 0.338916i
\(496\) −9.22061e7 1.59706e8i −0.755640 1.30881i
\(497\) 1.22525e8 + 2.12220e8i 0.998059 + 1.72869i
\(498\) 872280. 1.51083e6i 0.00706265 0.0122329i
\(499\) 1.05678e8 + 6.10135e7i 0.850521 + 0.491048i 0.860827 0.508898i \(-0.169947\pi\)
−0.0103058 + 0.999947i \(0.503280\pi\)
\(500\) 4.77898e7i 0.382318i
\(501\) −2.51267e8 1.45069e8i −1.99812 1.15362i
\(502\) −196260. 113311.i −0.00155139 0.000895694i
\(503\) 1.32499e8 + 7.64982e7i 1.04114 + 0.601100i 0.920155 0.391554i \(-0.128063\pi\)
0.120981 + 0.992655i \(0.461396\pi\)
\(504\) −4.11561e6 7.12844e6i −0.0321472 0.0556805i
\(505\) 6.28203e6i 0.0487782i
\(506\) 1.88171e6 1.08640e6i 0.0145245 0.00838571i
\(507\) −6.37607e7 3.68123e7i −0.489248 0.282468i
\(508\) −6.79299e7 −0.518167
\(509\) 3.06674e7 5.31176e7i 0.232554 0.402796i −0.726005 0.687690i \(-0.758625\pi\)
0.958559 + 0.284894i \(0.0919584\pi\)
\(510\) −1.30651e6 + 754312.i −0.00984921 + 0.00568644i
\(511\) 5.16099e7 + 8.93910e7i 0.386786 + 0.669933i
\(512\) 1.49745e7i 0.111569i
\(513\) 501796. + 869136.i 0.00371685 + 0.00643777i
\(514\) −3.83514e6 −0.0282418
\(515\) 5.11841e6i 0.0374726i
\(516\) −9.88961e6 + 1.96081e8i −0.0719830 + 1.42721i
\(517\) −1.61905e8 −1.17162
\(518\) 866540.i 0.00623447i
\(519\) 1.94691e8 1.12405e8i 1.39265 0.804048i
\(520\) 1.44752e6 0.0102947
\(521\) 1.48279e8 8.56088e7i 1.04849 0.605348i 0.126267 0.991996i \(-0.459700\pi\)
0.922227 + 0.386648i \(0.126367\pi\)
\(522\) 1.16054e6 + 2.01011e6i 0.00815922 + 0.0141322i
\(523\) 8.45739e7 + 4.88288e7i 0.591196 + 0.341327i 0.765570 0.643352i \(-0.222457\pi\)
−0.174375 + 0.984679i \(0.555790\pi\)
\(524\) 2.37939e8i 1.65376i
\(525\) −1.37065e8 + 2.37403e8i −0.947212 + 1.64062i
\(526\) 2.46182e6 + 4.26399e6i 0.0169160 + 0.0292994i
\(527\) −4.04257e8 −2.76201
\(528\) −3.02987e8 + 1.74930e8i −2.05836 + 1.18840i
\(529\) 5.89928e7 1.02178e8i 0.398503 0.690228i
\(530\) 419502. 726599.i 0.00281778 0.00488053i
\(531\) −5.21561e7 + 9.03369e7i −0.348354 + 0.603367i
\(532\) −2.44158e7 −0.162157
\(533\) 2.19880e7 3.80843e7i 0.145212 0.251515i
\(534\) 3.00207e6 + 1.73325e6i 0.0197150 + 0.0113825i
\(535\) 540069. 311809.i 0.00352686 0.00203623i
\(536\) 6.31460e6 3.64573e6i 0.0410064 0.0236750i
\(537\) −3.02208e8 −1.95157
\(538\) 1.82246e6i 0.0117033i
\(539\) −1.16947e8 2.02558e8i −0.746833 1.29355i
\(540\) −968237. 1.67704e6i −0.00614894 0.0106503i
\(541\) −3.75703e7 + 6.50737e7i −0.237276 + 0.410974i −0.959932 0.280234i \(-0.909588\pi\)
0.722656 + 0.691208i \(0.242921\pi\)
\(542\) 4.22885e6 + 2.44153e6i 0.0265598 + 0.0153343i
\(543\) 1.46889e8i 0.917465i
\(544\) −1.70541e7 9.84620e6i −0.105933 0.0611606i
\(545\) −1.35903e7 7.84635e6i −0.0839535 0.0484706i
\(546\) 7.33101e6 + 4.23256e6i 0.0450387 + 0.0260031i
\(547\) 1.23717e8 + 2.14285e8i 0.755908 + 1.30927i 0.944922 + 0.327297i \(0.106138\pi\)
−0.189014 + 0.981974i \(0.560529\pi\)
\(548\) 4.93701e7i 0.300001i
\(549\) −2.69952e8 + 1.55857e8i −1.63143 + 0.941909i
\(550\) −5.15963e6 2.97891e6i −0.0310120 0.0179048i
\(551\) 1.37732e7 0.0823343
\(552\) −2.42184e6 + 4.19476e6i −0.0143989 + 0.0249396i
\(553\) 3.14825e8 1.81764e8i 1.86163 1.07481i
\(554\) 458120. + 793488.i 0.00269433 + 0.00466671i
\(555\) 9.64689e6i 0.0564298i
\(556\) 3.84787e7 + 6.66471e7i 0.223870 + 0.387755i
\(557\) −1.88667e8 −1.09177 −0.545884 0.837861i \(-0.683806\pi\)
−0.545884 + 0.837861i \(0.683806\pi\)
\(558\) 6.13902e6i 0.0353343i
\(559\) −9.40290e7 1.83649e8i −0.538303 1.05136i
\(560\) 4.70878e7 0.268129
\(561\) 7.66939e8i 4.34383i
\(562\) 1.42895e6 825006.i 0.00805024 0.00464781i
\(563\) 1.75501e8 0.983453 0.491727 0.870750i \(-0.336366\pi\)
0.491727 + 0.870750i \(0.336366\pi\)
\(564\) 1.56245e8 9.02081e7i 0.870901 0.502815i
\(565\) −2.01582e7 3.49151e7i −0.111765 0.193583i
\(566\) 30429.5 + 17568.5i 0.000167821 + 9.68914e-5i
\(567\) 2.39501e8i 1.31389i
\(568\) 5.93626e6 1.02819e7i 0.0323942 0.0561084i
\(569\) −1.11175e8 1.92561e8i −0.603491 1.04528i −0.992288 0.123954i \(-0.960442\pi\)
0.388797 0.921324i \(-0.372891\pi\)
\(570\) 135947. 0.000734081
\(571\) −2.74905e8 + 1.58716e8i −1.47664 + 0.852538i −0.999652 0.0263731i \(-0.991604\pi\)
−0.476986 + 0.878911i \(0.658271\pi\)
\(572\) 1.83923e8 3.18564e8i 0.982762 1.70219i
\(573\) 5.34868e7 9.26418e7i 0.284304 0.492429i
\(574\) −716017. + 1.24018e6i −0.00378606 + 0.00655765i
\(575\) 8.23978e7 0.433423
\(576\) 9.94702e7 1.72287e8i 0.520506 0.901542i
\(577\) 1.56632e8 + 9.04316e7i 0.815368 + 0.470753i 0.848817 0.528688i \(-0.177316\pi\)
−0.0334486 + 0.999440i \(0.510649\pi\)
\(578\) −8.71227e6 + 5.03003e6i −0.0451178 + 0.0260488i
\(579\) 2.09786e8 1.21120e8i 1.08079 0.623994i
\(580\) −2.65760e7 −0.136209
\(581\) 1.19366e8i 0.608628i
\(582\) −968652. 1.67775e6i −0.00491359 0.00851059i
\(583\) −2.13262e8 3.69381e8i −1.07624 1.86410i
\(584\) 2.50046e6 4.33093e6i 0.0125540 0.0217442i
\(585\) 4.16879e7 + 2.40685e7i 0.208230 + 0.120222i
\(586\) 3.59689e6i 0.0178745i
\(587\) 2.96152e8 + 1.70983e8i 1.46420 + 0.845356i 0.999201 0.0399555i \(-0.0127216\pi\)
0.464998 + 0.885312i \(0.346055\pi\)
\(588\) 2.25718e8 + 1.30318e8i 1.11028 + 0.641023i
\(589\) 3.15483e7 + 1.82144e7i 0.154394 + 0.0891393i
\(590\) 298678. + 517326.i 0.00145428 + 0.00251889i
\(591\) 2.51948e8i 1.22053i
\(592\) −3.63205e7 + 2.09697e7i −0.175060 + 0.101071i
\(593\) −1.81185e8 1.04607e8i −0.868878 0.501647i −0.00190255 0.999998i \(-0.500606\pi\)
−0.866975 + 0.498351i \(0.833939\pi\)
\(594\) 492369. 0.00234926
\(595\) 5.16114e7 8.93937e7i 0.245016 0.424381i
\(596\) −7.42990e7 + 4.28966e7i −0.350949 + 0.202621i
\(597\) −6.38416e6 1.10577e7i −0.0300041 0.0519687i
\(598\) 2.54445e6i 0.0118984i
\(599\) −5.78332e7 1.00170e8i −0.269090 0.466077i 0.699537 0.714596i \(-0.253389\pi\)
−0.968627 + 0.248519i \(0.920056\pi\)
\(600\) 1.32814e7 0.0614878
\(601\) 3.11286e8i 1.43396i 0.697096 + 0.716978i \(0.254475\pi\)
−0.697096 + 0.716978i \(0.745525\pi\)
\(602\) 3.06196e6 + 5.98034e6i 0.0140349 + 0.0274117i
\(603\) 2.42476e8 1.10590
\(604\) 1.08669e8i 0.493166i
\(605\) 6.62488e7 3.82488e7i 0.299166 0.172723i
\(606\) 1.77990e6 0.00799792
\(607\) −9.44916e7 + 5.45547e7i −0.422500 + 0.243931i −0.696147 0.717900i \(-0.745104\pi\)
0.273646 + 0.961830i \(0.411770\pi\)
\(608\) 887270. + 1.53680e6i 0.00394771 + 0.00683763i
\(609\) −2.69257e8 1.55456e8i −1.19211 0.688263i
\(610\) 1.78507e6i 0.00786439i
\(611\) −9.47985e7 + 1.64196e8i −0.415602 + 0.719844i
\(612\) −2.18271e8 3.78056e8i −0.952229 1.64931i
\(613\) 3.23674e8 1.40516 0.702582 0.711603i \(-0.252030\pi\)
0.702582 + 0.711603i \(0.252030\pi\)
\(614\) 2.70901e6 1.56405e6i 0.0117032 0.00675686i
\(615\) −7.97116e6 + 1.38065e7i −0.0342686 + 0.0593549i
\(616\) −1.19816e7 + 2.07527e7i −0.0512591 + 0.0887834i
\(617\) 8.75310e7 1.51608e8i 0.372655 0.645457i −0.617318 0.786713i \(-0.711781\pi\)
0.989973 + 0.141257i \(0.0451143\pi\)
\(618\) 1.45021e6 0.00614420
\(619\) −9.01813e7 + 1.56199e8i −0.380229 + 0.658575i −0.991095 0.133159i \(-0.957488\pi\)
0.610866 + 0.791734i \(0.290821\pi\)
\(620\) −6.08738e7 3.51455e7i −0.255420 0.147467i
\(621\) −5.89724e6 + 3.40478e6i −0.0246249 + 0.0142172i
\(622\) −1.08815e6 + 628246.i −0.00452188 + 0.00261071i
\(623\) −2.37184e8 −0.980893
\(624\) 4.09699e8i 1.68621i
\(625\) −1.08327e8 1.87628e8i −0.443708 0.768525i
\(626\) −4.67879e6 8.10390e6i −0.0190726 0.0330348i
\(627\) 3.45556e7 5.98521e7i 0.140190 0.242816i
\(628\) 7.99223e7 + 4.61432e7i 0.322693 + 0.186307i
\(629\) 9.19367e7i 0.369434i
\(630\) −1.35753e6 783769.i −0.00542909 0.00313448i
\(631\) 2.11957e8 + 1.22373e8i 0.843645 + 0.487078i 0.858501 0.512811i \(-0.171396\pi\)
−0.0148567 + 0.999890i \(0.504729\pi\)
\(632\) −1.52530e7 8.80634e6i −0.0604234 0.0348855i
\(633\) −1.38027e8 2.39069e8i −0.544192 0.942568i
\(634\) 3.39186e6i 0.0133097i
\(635\) −2.24122e7 + 1.29397e7i −0.0875312 + 0.0505362i
\(636\) 4.11615e8 + 2.37646e8i 1.60000 + 0.923760i
\(637\) −2.73900e8 −1.05968
\(638\) 3.37862e6 5.85194e6i 0.0130100 0.0225340i
\(639\) 3.41923e8 1.97409e8i 1.31046 0.756597i
\(640\) −2.28251e6 3.95343e6i −0.00870709 0.0150811i
\(641\) 3.12690e8i 1.18724i −0.804744 0.593622i \(-0.797697\pi\)
0.804744 0.593622i \(-0.202303\pi\)
\(642\) −88345.3 153019.i −0.000333871 0.000578281i
\(643\) −3.46767e8 −1.30438 −0.652192 0.758054i \(-0.726150\pi\)
−0.652192 + 0.758054i \(0.726150\pi\)
\(644\) 1.65666e8i 0.620262i
\(645\) 3.40877e7 + 6.65770e7i 0.127034 + 0.248111i
\(646\) 1.29560e6 0.00480588
\(647\) 3.78698e8i 1.39824i 0.715006 + 0.699118i \(0.246424\pi\)
−0.715006 + 0.699118i \(0.753576\pi\)
\(648\) 1.00491e7 5.80183e6i 0.0369318 0.0213226i
\(649\) 3.03678e8 1.11091
\(650\) −6.04213e6 + 3.48843e6i −0.0220014 + 0.0127025i
\(651\) −4.11165e8 7.12158e8i −1.49030 2.58127i
\(652\) 3.31774e8 + 1.91550e8i 1.19701 + 0.691096i
\(653\) 1.05720e7i 0.0379678i 0.999820 + 0.0189839i \(0.00604313\pi\)
−0.999820 + 0.0189839i \(0.993957\pi\)
\(654\) −2.22312e6 + 3.85056e6i −0.00794748 + 0.0137654i
\(655\) −4.53240e7 7.85034e7i −0.161289 0.279360i
\(656\) −6.93083e7 −0.245513
\(657\) 1.44024e8 8.31525e7i 0.507855 0.293210i
\(658\) 3.08702e6 5.34688e6i 0.0108358 0.0187682i
\(659\) 1.63133e8 2.82554e8i 0.570013 0.987292i −0.426551 0.904464i \(-0.640271\pi\)
0.996564 0.0828281i \(-0.0263952\pi\)
\(660\) −6.66765e7 + 1.15487e8i −0.231922 + 0.401700i
\(661\) 3.99012e8 1.38160 0.690799 0.723047i \(-0.257259\pi\)
0.690799 + 0.723047i \(0.257259\pi\)
\(662\) 1.05719e6 1.83111e6i 0.00364401 0.00631160i
\(663\) 7.77792e8 + 4.49059e8i 2.66884 + 1.54086i
\(664\) 5.00839e6 2.89160e6i 0.0171078 0.00987720i
\(665\) −8.05553e6 + 4.65086e6i −0.0273923 + 0.0158150i
\(666\) 1.39615e6 0.00472616
\(667\) 9.34538e7i 0.314934i
\(668\) −2.40391e8 4.16369e8i −0.806470 1.39685i
\(669\) −1.02223e8 1.77055e8i −0.341405 0.591330i
\(670\) 694286. 1.20254e6i 0.00230842 0.00399829i
\(671\) 7.85897e8 + 4.53738e8i 2.60134 + 1.50189i
\(672\) 4.00578e7i 0.132002i
\(673\) −2.68937e8 1.55271e8i −0.882277 0.509383i −0.0108687 0.999941i \(-0.503460\pi\)
−0.871409 + 0.490558i \(0.836793\pi\)
\(674\) −1.12726e7 6.50823e6i −0.0368166 0.0212561i
\(675\) 1.61702e7 + 9.33587e6i 0.0525780 + 0.0303559i
\(676\) −6.10009e7 1.05657e8i −0.197468 0.342024i
\(677\) 1.08383e8i 0.349298i 0.984631 + 0.174649i \(0.0558790\pi\)
−0.984631 + 0.174649i \(0.944121\pi\)
\(678\) −9.89254e6 + 5.71146e6i −0.0317409 + 0.0183256i
\(679\) 1.14795e8 + 6.62770e7i 0.366703 + 0.211716i
\(680\) −5.00107e6 −0.0159051
\(681\) −2.39176e8 + 4.14265e8i −0.757314 + 1.31171i
\(682\) 1.54778e7 8.93611e6i 0.0487928 0.0281705i
\(683\) 8.65457e7 + 1.49901e8i 0.271633 + 0.470483i 0.969280 0.245959i \(-0.0791029\pi\)
−0.697647 + 0.716442i \(0.745770\pi\)
\(684\) 3.93381e7i 0.122926i
\(685\) 9.40430e6 + 1.62887e7i 0.0292587 + 0.0506775i
\(686\) −1.02251e6 −0.00316733
\(687\) 6.41779e8i 1.97932i
\(688\) −1.76565e8 + 2.73060e8i −0.542175 + 0.838481i
\(689\) −4.99478e8 −1.52707
\(690\) 922423.i 0.00280791i
\(691\) −1.62571e8 + 9.38605e7i −0.492730 + 0.284478i −0.725706 0.688004i \(-0.758487\pi\)
0.232976 + 0.972482i \(0.425154\pi\)
\(692\) 3.72527e8 1.12419
\(693\) −6.90126e8 + 3.98445e8i −2.07362 + 1.19720i
\(694\) 1.65481e6 + 2.86621e6i 0.00495072 + 0.00857491i
\(695\) 2.53906e7 + 1.46593e7i 0.0756344 + 0.0436675i
\(696\) 1.50634e7i 0.0446782i
\(697\) −7.59667e7 + 1.31578e8i −0.224349 + 0.388584i
\(698\) 2.54890e6 + 4.41482e6i 0.00749524 + 0.0129821i
\(699\) −1.84442e8 −0.540042
\(700\) −3.93395e8 + 2.27127e8i −1.14693 + 0.662178i
\(701\) −4.44376e7 + 7.69683e7i −0.129002 + 0.223438i −0.923290 0.384103i \(-0.874511\pi\)
0.794288 + 0.607541i \(0.207844\pi\)
\(702\) 288292. 499336.i 0.000833338 0.00144338i
\(703\) 4.14235e6 7.17475e6i 0.0119229 0.0206510i
\(704\) −5.79164e8 −1.65991
\(705\) 3.43667e7 5.95249e7i 0.0980778 0.169876i
\(706\) 717275. + 414119.i 0.00203832 + 0.00117682i
\(707\) −1.05468e8 + 6.08919e7i −0.298443 + 0.172306i
\(708\) −2.93063e8 + 1.69200e8i −0.825773 + 0.476760i
\(709\) −3.81272e8 −1.06978 −0.534892 0.844920i \(-0.679648\pi\)
−0.534892 + 0.844920i \(0.679648\pi\)
\(710\) 2.26098e6i 0.00631715i
\(711\) −2.92853e8 5.07237e8i −0.814782 1.41124i
\(712\) 5.74570e6 + 9.95185e6i 0.0159185 + 0.0275717i
\(713\) −1.23588e8 + 2.14061e8i −0.340963 + 0.590566i
\(714\) −2.53280e7 1.46232e7i −0.0695836 0.0401741i
\(715\) 1.40139e8i 0.383390i
\(716\) −4.33691e8 2.50392e8i −1.18152 0.682152i
\(717\) 5.73779e8 + 3.31271e8i 1.55664 + 0.898724i
\(718\) 8.73960e6 + 5.04581e6i 0.0236112 + 0.0136319i
\(719\) 1.30441e8 + 2.25930e8i 0.350935 + 0.607837i 0.986414 0.164281i \(-0.0525305\pi\)
−0.635479 + 0.772119i \(0.719197\pi\)
\(720\) 7.58665e7i 0.203260i
\(721\) −8.59322e7 + 4.96130e7i −0.229272 + 0.132370i
\(722\) 7.18647e6 + 4.14911e6i 0.0190943 + 0.0110241i
\(723\) 6.47633e8 1.71362
\(724\) 1.21703e8 2.10796e8i 0.320691 0.555453i
\(725\) 2.21919e8 1.28125e8i 0.582344 0.336217i
\(726\) −1.08371e7 1.87704e7i −0.0283206 0.0490527i
\(727\) 1.75516e8i 0.456786i −0.973569 0.228393i \(-0.926653\pi\)
0.973569 0.228393i \(-0.0733471\pi\)
\(728\) 1.40309e7 + 2.43022e7i 0.0363656 + 0.0629871i
\(729\) 4.20835e8 1.08625
\(730\) 952367.i 0.00244814i
\(731\) 3.24863e8 + 6.34492e8i 0.831664 + 1.62433i
\(732\) −1.01123e9 −2.57821
\(733\) 5.40322e8i 1.37196i −0.727622 0.685979i \(-0.759374\pi\)
0.727622 0.685979i \(-0.240626\pi\)
\(734\) −7.36450e6 + 4.25189e6i −0.0186232 + 0.0107521i
\(735\) 9.92951e7 0.250072
\(736\) −1.04274e7 + 6.02029e6i −0.0261544 + 0.0151002i
\(737\) −3.52954e8 6.11335e8i −0.881690 1.52713i
\(738\) 1.99814e6 + 1.15363e6i 0.00497115 + 0.00287009i
\(739\) 1.77611e8i 0.440084i 0.975490 + 0.220042i \(0.0706194\pi\)
−0.975490 + 0.220042i \(0.929381\pi\)
\(740\) −7.99283e6 + 1.38440e7i −0.0197245 + 0.0341638i
\(741\) −4.04660e7 7.00892e7i −0.0994571 0.172265i
\(742\) 1.62650e7 0.0398146
\(743\) −4.17295e8 + 2.40925e8i −1.01736 + 0.587376i −0.913339 0.407199i \(-0.866506\pi\)
−0.104025 + 0.994575i \(0.533172\pi\)
\(744\) −1.99206e7 + 3.45035e7i −0.0483709 + 0.0837809i
\(745\) −1.63424e7 + 2.83058e7i −0.0395226 + 0.0684552i
\(746\) −1.53727e6 + 2.66262e6i −0.00370282 + 0.00641347i
\(747\) 1.92319e8 0.461382
\(748\) −6.35440e8 + 1.10061e9i −1.51834 + 2.62985i
\(749\) 1.04698e7 + 6.04475e6i 0.0249169 + 0.0143858i
\(750\) 4.46738e6 2.57924e6i 0.0105893 0.00611376i
\(751\) 5.92547e8 3.42107e8i 1.39895 0.807686i 0.404670 0.914463i \(-0.367387\pi\)
0.994283 + 0.106777i \(0.0340532\pi\)
\(752\) 2.98815e8 0.702665
\(753\) 4.89091e7i 0.114552i
\(754\) −3.95650e6 6.85286e6i −0.00922990 0.0159867i
\(755\) 2.06998e7 + 3.58531e7i 0.0480978 + 0.0833078i
\(756\) 1.87703e7 3.25111e7i 0.0434416 0.0752431i
\(757\) −1.57267e8 9.07982e7i −0.362535 0.209310i 0.307657 0.951497i \(-0.400455\pi\)
−0.670192 + 0.742188i \(0.733788\pi\)
\(758\) 3.40663e6i 0.00782198i
\(759\) 4.06107e8 + 2.34466e8i 0.928785 + 0.536234i
\(760\) 390284. + 225331.i 0.000889079 + 0.000513310i
\(761\) 5.78880e8 + 3.34216e8i 1.31351 + 0.758357i 0.982676 0.185331i \(-0.0593356\pi\)
0.330837 + 0.943688i \(0.392669\pi\)
\(762\) 3.66622e6 + 6.35008e6i 0.00828616 + 0.0143521i
\(763\) 3.04220e8i 0.684879i
\(764\) 1.53515e8 8.86319e7i 0.344247 0.198751i