Properties

Label 43.6.e.a.4.13
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.13

$q$-expansion

\(f(q)\) \(=\) \(q+(3.11467 - 3.90567i) q^{2} +(2.22486 + 2.78989i) q^{3} +(1.56755 + 6.86790i) q^{4} +(-1.98003 - 0.953533i) q^{5} +17.8261 q^{6} +187.548 q^{7} +(175.733 + 84.6285i) q^{8} +(51.2391 - 224.493i) q^{9} +O(q^{10})\) \(q+(3.11467 - 3.90567i) q^{2} +(2.22486 + 2.78989i) q^{3} +(1.56755 + 6.86790i) q^{4} +(-1.98003 - 0.953533i) q^{5} +17.8261 q^{6} +187.548 q^{7} +(175.733 + 84.6285i) q^{8} +(51.2391 - 224.493i) q^{9} +(-9.89133 + 4.76342i) q^{10} +(-44.1621 + 193.487i) q^{11} +(-15.6731 + 19.6534i) q^{12} +(-21.4714 - 10.3401i) q^{13} +(584.152 - 732.503i) q^{14} +(-1.74504 - 7.64554i) q^{15} +(674.781 - 324.957i) q^{16} +(-2.74703 + 1.32290i) q^{17} +(-717.205 - 899.346i) q^{18} +(-137.864 - 604.021i) q^{19} +(3.44496 - 15.0934i) q^{20} +(417.269 + 523.239i) q^{21} +(618.147 + 775.131i) q^{22} +(-702.964 + 3079.89i) q^{23} +(154.877 + 678.561i) q^{24} +(-1945.39 - 2439.45i) q^{25} +(-107.261 + 51.6544i) q^{26} +(1521.56 - 732.744i) q^{27} +(293.992 + 1288.06i) q^{28} +(1571.17 - 1970.18i) q^{29} +(-35.2962 - 16.9978i) q^{30} +(-5170.79 + 6483.96i) q^{31} +(-556.334 + 2437.46i) q^{32} +(-638.061 + 307.274i) q^{33} +(-3.38928 + 14.8494i) q^{34} +(-371.352 - 178.834i) q^{35} +1622.12 q^{36} -13270.1 q^{37} +(-2788.51 - 1342.88i) q^{38} +(-18.9232 - 82.9080i) q^{39} +(-267.260 - 335.134i) q^{40} +(4657.41 - 5840.21i) q^{41} +3343.26 q^{42} +(-10356.0 - 6305.67i) q^{43} -1398.08 q^{44} +(-315.517 + 395.645i) q^{45} +(9839.53 + 12338.4i) q^{46} +(-2292.13 - 10042.5i) q^{47} +(2407.89 + 1159.58i) q^{48} +18367.4 q^{49} -15587.0 q^{50} +(-9.80251 - 4.72064i) q^{51} +(37.3571 - 163.672i) q^{52} +(9153.28 - 4407.99i) q^{53} +(1877.30 - 8224.97i) q^{54} +(271.939 - 341.000i) q^{55} +(32958.4 + 15871.9i) q^{56} +(1378.42 - 1728.49i) q^{57} +(-2801.22 - 12272.9i) q^{58} +(20956.0 - 10091.9i) q^{59} +(49.7733 - 23.9696i) q^{60} +(-3862.27 - 4843.14i) q^{61} +(9218.94 + 40390.8i) q^{62} +(9609.82 - 42103.4i) q^{63} +(22729.9 + 28502.4i) q^{64} +(32.6544 + 40.9474i) q^{65} +(-787.239 + 3449.12i) q^{66} +(5781.44 + 25330.1i) q^{67} +(-13.3917 - 16.7926i) q^{68} +(-10156.5 + 4891.13i) q^{69} +(-1855.10 + 893.371i) q^{70} +(-11181.4 - 48988.9i) q^{71} +(28002.9 - 35114.5i) q^{72} +(-63168.9 - 30420.6i) q^{73} +(-41332.1 + 51828.8i) q^{74} +(2477.55 - 10854.9i) q^{75} +(3932.25 - 1893.67i) q^{76} +(-8282.54 + 36288.2i) q^{77} +(-382.751 - 184.323i) q^{78} -56803.6 q^{79} -1645.94 q^{80} +(-44984.0 - 21663.1i) q^{81} +(-8303.65 - 36380.7i) q^{82} +(51038.4 + 64000.1i) q^{83} +(-2939.46 + 3685.97i) q^{84} +6.70064 q^{85} +(-56883.5 + 20807.1i) q^{86} +8992.20 q^{87} +(-24135.2 + 30264.6i) q^{88} +(3671.01 + 4603.30i) q^{89} +(562.531 + 2464.61i) q^{90} +(-4026.93 - 1939.27i) q^{91} -22254.3 q^{92} -29593.8 q^{93} +(-46361.9 - 22326.7i) q^{94} +(-302.979 + 1327.44i) q^{95} +(-8038.00 + 3870.90i) q^{96} +(-6478.58 + 28384.5i) q^{97} +(57208.4 - 71737.1i) q^{98} +(41173.7 + 19828.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.11467 3.90567i 0.550601 0.690432i −0.426188 0.904635i \(-0.640144\pi\)
0.976789 + 0.214202i \(0.0687152\pi\)
\(3\) 2.22486 + 2.78989i 0.142725 + 0.178971i 0.848056 0.529907i \(-0.177773\pi\)
−0.705331 + 0.708878i \(0.749202\pi\)
\(4\) 1.56755 + 6.86790i 0.0489861 + 0.214622i
\(5\) −1.98003 0.953533i −0.0354199 0.0170573i 0.416090 0.909323i \(-0.363400\pi\)
−0.451510 + 0.892266i \(0.649114\pi\)
\(6\) 17.8261 0.202152
\(7\) 187.548 1.44667 0.723333 0.690499i \(-0.242609\pi\)
0.723333 + 0.690499i \(0.242609\pi\)
\(8\) 175.733 + 84.6285i 0.970796 + 0.467511i
\(9\) 51.2391 224.493i 0.210861 0.923841i
\(10\) −9.89133 + 4.76342i −0.0312791 + 0.0150632i
\(11\) −44.1621 + 193.487i −0.110045 + 0.482137i 0.889631 + 0.456679i \(0.150961\pi\)
−0.999676 + 0.0254573i \(0.991896\pi\)
\(12\) −15.6731 + 19.6534i −0.0314196 + 0.0393990i
\(13\) −21.4714 10.3401i −0.0352373 0.0169694i 0.416182 0.909281i \(-0.363368\pi\)
−0.451419 + 0.892312i \(0.649082\pi\)
\(14\) 584.152 732.503i 0.796536 0.998825i
\(15\) −1.74504 7.64554i −0.00200253 0.00877364i
\(16\) 674.781 324.957i 0.658965 0.317341i
\(17\) −2.74703 + 1.32290i −0.00230538 + 0.00111021i −0.435036 0.900413i \(-0.643264\pi\)
0.432731 + 0.901523i \(0.357550\pi\)
\(18\) −717.205 899.346i −0.521749 0.654253i
\(19\) −137.864 604.021i −0.0876125 0.383856i 0.912043 0.410094i \(-0.134504\pi\)
−0.999656 + 0.0262386i \(0.991647\pi\)
\(20\) 3.44496 15.0934i 0.00192579 0.00843745i
\(21\) 417.269 + 523.239i 0.206475 + 0.258912i
\(22\) 618.147 + 775.131i 0.272292 + 0.341443i
\(23\) −702.964 + 3079.89i −0.277085 + 1.21399i 0.624374 + 0.781126i \(0.285354\pi\)
−0.901459 + 0.432864i \(0.857503\pi\)
\(24\) 154.877 + 678.561i 0.0548857 + 0.240470i
\(25\) −1945.39 2439.45i −0.622526 0.780623i
\(26\) −107.261 + 51.6544i −0.0311179 + 0.0149856i
\(27\) 1521.56 732.744i 0.401679 0.193439i
\(28\) 293.992 + 1288.06i 0.0708665 + 0.310486i
\(29\) 1571.17 1970.18i 0.346918 0.435022i −0.577507 0.816386i \(-0.695974\pi\)
0.924425 + 0.381364i \(0.124546\pi\)
\(30\) −35.2962 16.9978i −0.00716020 0.00344817i
\(31\) −5170.79 + 6483.96i −0.966390 + 1.21181i 0.0109069 + 0.999941i \(0.496528\pi\)
−0.977297 + 0.211874i \(0.932043\pi\)
\(32\) −556.334 + 2437.46i −0.0960420 + 0.420787i
\(33\) −638.061 + 307.274i −0.101995 + 0.0491180i
\(34\) −3.38928 + 14.8494i −0.000502818 + 0.00220299i
\(35\) −371.352 178.834i −0.0512407 0.0246762i
\(36\) 1622.12 0.208606
\(37\) −13270.1 −1.59357 −0.796784 0.604264i \(-0.793467\pi\)
−0.796784 + 0.604264i \(0.793467\pi\)
\(38\) −2788.51 1342.88i −0.313266 0.150861i
\(39\) −18.9232 82.9080i −0.00199220 0.00872841i
\(40\) −267.260 335.134i −0.0264110 0.0331183i
\(41\) 4657.41 5840.21i 0.432698 0.542586i −0.516904 0.856043i \(-0.672916\pi\)
0.949602 + 0.313457i \(0.101487\pi\)
\(42\) 3343.26 0.292446
\(43\) −10356.0 6305.67i −0.854125 0.520068i
\(44\) −1398.08 −0.108868
\(45\) −315.517 + 395.645i −0.0232269 + 0.0291256i
\(46\) 9839.53 + 12338.4i 0.685614 + 0.859733i
\(47\) −2292.13 10042.5i −0.151354 0.663127i −0.992492 0.122306i \(-0.960971\pi\)
0.841138 0.540821i \(-0.181886\pi\)
\(48\) 2407.89 + 1159.58i 0.150846 + 0.0726434i
\(49\) 18367.4 1.09284
\(50\) −15587.0 −0.881731
\(51\) −9.80251 4.72064i −0.000527730 0.000254141i
\(52\) 37.3571 163.672i 0.00191586 0.00839395i
\(53\) 9153.28 4407.99i 0.447597 0.215551i −0.196487 0.980507i \(-0.562953\pi\)
0.644084 + 0.764955i \(0.277239\pi\)
\(54\) 1877.30 8224.97i 0.0876090 0.383840i
\(55\) 271.939 341.000i 0.0121217 0.0152001i
\(56\) 32958.4 + 15871.9i 1.40442 + 0.676332i
\(57\) 1378.42 1728.49i 0.0561946 0.0704659i
\(58\) −2801.22 12272.9i −0.109339 0.479047i
\(59\) 20956.0 10091.9i 0.783751 0.377435i 0.00118266 0.999999i \(-0.499624\pi\)
0.782568 + 0.622565i \(0.213909\pi\)
\(60\) 49.7733 23.9696i 0.00178492 0.000859572i
\(61\) −3862.27 4843.14i −0.132898 0.166649i 0.710930 0.703263i \(-0.248274\pi\)
−0.843828 + 0.536614i \(0.819703\pi\)
\(62\) 9218.94 + 40390.8i 0.304580 + 1.33445i
\(63\) 9609.82 42103.4i 0.305045 1.33649i
\(64\) 22729.9 + 28502.4i 0.693663 + 0.869825i
\(65\) 32.6544 + 40.9474i 0.000958648 + 0.00120211i
\(66\) −787.239 + 3449.12i −0.0222457 + 0.0974649i
\(67\) 5781.44 + 25330.1i 0.157344 + 0.689367i 0.990635 + 0.136534i \(0.0435962\pi\)
−0.833292 + 0.552833i \(0.813547\pi\)
\(68\) −13.3917 16.7926i −0.000351207 0.000440399i
\(69\) −10156.5 + 4891.13i −0.256816 + 0.123676i
\(70\) −1855.10 + 893.371i −0.0452505 + 0.0217915i
\(71\) −11181.4 48988.9i −0.263239 1.15333i −0.917714 0.397242i \(-0.869967\pi\)
0.654475 0.756084i \(-0.272890\pi\)
\(72\) 28002.9 35114.5i 0.636608 0.798281i
\(73\) −63168.9 30420.6i −1.38738 0.668128i −0.416823 0.908988i \(-0.636857\pi\)
−0.970560 + 0.240859i \(0.922571\pi\)
\(74\) −41332.1 + 51828.8i −0.877421 + 1.10025i
\(75\) 2477.55 10854.9i 0.0508592 0.222829i
\(76\) 3932.25 1893.67i 0.0780920 0.0376071i
\(77\) −8282.54 + 36288.2i −0.159198 + 0.697491i
\(78\) −382.751 184.323i −0.00712329 0.00343039i
\(79\) −56803.6 −1.02402 −0.512010 0.858980i \(-0.671099\pi\)
−0.512010 + 0.858980i \(0.671099\pi\)
\(80\) −1645.94 −0.0287535
\(81\) −44984.0 21663.1i −0.761808 0.366867i
\(82\) −8303.65 36380.7i −0.136375 0.597498i
\(83\) 51038.4 + 64000.1i 0.813208 + 1.01973i 0.999308 + 0.0372001i \(0.0118439\pi\)
−0.186100 + 0.982531i \(0.559585\pi\)
\(84\) −2939.46 + 3685.97i −0.0454537 + 0.0569972i
\(85\) 6.70064 0.000100593
\(86\) −56883.5 + 20807.1i −0.829354 + 0.303365i
\(87\) 8992.20 0.127370
\(88\) −24135.2 + 30264.6i −0.332235 + 0.416609i
\(89\) 3671.01 + 4603.30i 0.0491259 + 0.0616019i 0.805787 0.592205i \(-0.201742\pi\)
−0.756662 + 0.653807i \(0.773171\pi\)
\(90\) 562.531 + 2464.61i 0.00732050 + 0.0320732i
\(91\) −4026.93 1939.27i −0.0509766 0.0245490i
\(92\) −22254.3 −0.274122
\(93\) −29593.8 −0.354808
\(94\) −46361.9 22326.7i −0.541180 0.260619i
\(95\) −302.979 + 1327.44i −0.00344432 + 0.0150905i
\(96\) −8038.00 + 3870.90i −0.0890164 + 0.0428680i
\(97\) −6478.58 + 28384.5i −0.0699118 + 0.306303i −0.997779 0.0666064i \(-0.978783\pi\)
0.927868 + 0.372910i \(0.121640\pi\)
\(98\) 57208.4 71737.1i 0.601721 0.754534i
\(99\) 41173.7 + 19828.2i 0.422213 + 0.203327i
\(100\) 13704.4 17184.7i 0.137044 0.171847i
\(101\) 37597.8 + 164727.i 0.366740 + 1.60679i 0.735672 + 0.677338i \(0.236866\pi\)
−0.368932 + 0.929456i \(0.620276\pi\)
\(102\) −48.9689 + 23.5822i −0.000466036 + 0.000224431i
\(103\) 108776. 52383.9i 1.01028 0.486525i 0.145864 0.989305i \(-0.453404\pi\)
0.864414 + 0.502780i \(0.167689\pi\)
\(104\) −2898.17 3634.19i −0.0262748 0.0329476i
\(105\) −327.280 1433.91i −0.00289699 0.0126925i
\(106\) 11293.3 49479.2i 0.0976239 0.427718i
\(107\) 42668.6 + 53504.7i 0.360287 + 0.451786i 0.928631 0.371006i \(-0.120987\pi\)
−0.568344 + 0.822791i \(0.692416\pi\)
\(108\) 7417.54 + 9301.30i 0.0611928 + 0.0767334i
\(109\) 8084.97 35422.6i 0.0651797 0.285571i −0.931825 0.362907i \(-0.881784\pi\)
0.997005 + 0.0773360i \(0.0246414\pi\)
\(110\) −484.836 2124.21i −0.00382044 0.0167384i
\(111\) −29524.2 37022.1i −0.227442 0.285203i
\(112\) 126554. 60945.2i 0.953303 0.459087i
\(113\) −1405.65 + 676.924i −0.0103557 + 0.00498705i −0.439054 0.898460i \(-0.644686\pi\)
0.428699 + 0.903448i \(0.358972\pi\)
\(114\) −2457.57 10767.3i −0.0177111 0.0775972i
\(115\) 4328.66 5427.97i 0.0305217 0.0382730i
\(116\) 15993.9 + 7702.25i 0.110359 + 0.0531462i
\(117\) −3421.46 + 4290.37i −0.0231071 + 0.0289754i
\(118\) 25855.5 113280.i 0.170941 0.748943i
\(119\) −515.202 + 248.108i −0.00333511 + 0.00160610i
\(120\) 340.369 1491.25i 0.00215773 0.00945361i
\(121\) 109615. + 52787.8i 0.680623 + 0.327771i
\(122\) −30945.4 −0.188233
\(123\) 26655.6 0.158864
\(124\) −52636.7 25348.5i −0.307422 0.148046i
\(125\) 3054.06 + 13380.7i 0.0174824 + 0.0765956i
\(126\) −134511. 168671.i −0.754797 0.946485i
\(127\) −106332. + 133336.i −0.584999 + 0.733565i −0.982956 0.183838i \(-0.941148\pi\)
0.397958 + 0.917404i \(0.369719\pi\)
\(128\) 102113. 0.550878
\(129\) −5448.57 42921.3i −0.0288276 0.227090i
\(130\) 261.635 0.00135781
\(131\) −59603.2 + 74740.0i −0.303453 + 0.380518i −0.910055 0.414488i \(-0.863961\pi\)
0.606602 + 0.795006i \(0.292532\pi\)
\(132\) −3110.52 3900.47i −0.0155381 0.0194842i
\(133\) −25856.1 113283.i −0.126746 0.555311i
\(134\) 116939. + 56314.7i 0.562595 + 0.270931i
\(135\) −3711.43 −0.0175270
\(136\) −594.699 −0.00275708
\(137\) 145464. + 70051.7i 0.662146 + 0.318873i 0.734601 0.678499i \(-0.237369\pi\)
−0.0724554 + 0.997372i \(0.523083\pi\)
\(138\) −12531.1 + 54902.4i −0.0560134 + 0.245411i
\(139\) 208503. 100410.i 0.915326 0.440798i 0.0839257 0.996472i \(-0.473254\pi\)
0.831400 + 0.555674i \(0.187540\pi\)
\(140\) 646.097 2830.74i 0.00278598 0.0122062i
\(141\) 22917.7 28737.9i 0.0970787 0.121733i
\(142\) −226161. 108913.i −0.941233 0.453274i
\(143\) 2948.90 3697.80i 0.0120592 0.0151218i
\(144\) −38375.5 168134.i −0.154223 0.675694i
\(145\) −4989.59 + 2402.86i −0.0197081 + 0.00949092i
\(146\) −315563. + 151967.i −1.22519 + 0.590022i
\(147\) 40864.9 + 51243.0i 0.155976 + 0.195587i
\(148\) −20801.6 91137.9i −0.0780626 0.342015i
\(149\) −73882.5 + 323700.i −0.272631 + 1.19448i 0.634263 + 0.773118i \(0.281304\pi\)
−0.906894 + 0.421359i \(0.861553\pi\)
\(150\) −34678.8 43485.8i −0.125845 0.157805i
\(151\) −35262.7 44218.0i −0.125856 0.157818i 0.714911 0.699215i \(-0.246467\pi\)
−0.840767 + 0.541397i \(0.817896\pi\)
\(152\) 26890.2 117813.i 0.0944027 0.413605i
\(153\) 156.227 + 684.475i 0.000539545 + 0.00236390i
\(154\) 115932. + 145375.i 0.393916 + 0.493955i
\(155\) 16421.0 7907.93i 0.0548997 0.0264383i
\(156\) 539.741 259.926i 0.00177572 0.000855141i
\(157\) 39252.6 + 171977.i 0.127092 + 0.556828i 0.997875 + 0.0651598i \(0.0207557\pi\)
−0.870782 + 0.491669i \(0.836387\pi\)
\(158\) −176925. + 221856.i −0.563826 + 0.707016i
\(159\) 32662.6 + 15729.5i 0.102461 + 0.0493425i
\(160\) 3425.76 4295.76i 0.0105793 0.0132660i
\(161\) −131840. + 577628.i −0.400850 + 1.75624i
\(162\) −224720. + 108219.i −0.672749 + 0.323979i
\(163\) 110279. 483165.i 0.325106 1.42438i −0.503231 0.864152i \(-0.667855\pi\)
0.828337 0.560231i \(-0.189288\pi\)
\(164\) 47410.7 + 22831.8i 0.137647 + 0.0662874i
\(165\) 1556.38 0.00445046
\(166\) 408932. 1.15181
\(167\) 141820. + 68296.9i 0.393501 + 0.189500i 0.620162 0.784474i \(-0.287067\pi\)
−0.226661 + 0.973974i \(0.572781\pi\)
\(168\) 29047.0 + 127263.i 0.0794013 + 0.347880i
\(169\) −231143. 289845.i −0.622536 0.780636i
\(170\) 20.8703 26.1705i 5.53868e−5 6.94529e-5i
\(171\) −142663. −0.373095
\(172\) 27073.1 81008.5i 0.0697778 0.208790i
\(173\) −681559. −1.73136 −0.865681 0.500596i \(-0.833114\pi\)
−0.865681 + 0.500596i \(0.833114\pi\)
\(174\) 28007.8 35120.6i 0.0701302 0.0879405i
\(175\) −364856. 457514.i −0.900587 1.12930i
\(176\) 33075.2 + 144912.i 0.0804862 + 0.352633i
\(177\) 74779.3 + 36011.8i 0.179411 + 0.0863996i
\(178\) 29413.0 0.0695808
\(179\) 515462. 1.20244 0.601221 0.799082i \(-0.294681\pi\)
0.601221 + 0.799082i \(0.294681\pi\)
\(180\) −3211.84 1546.74i −0.00738878 0.00355825i
\(181\) −27532.7 + 120629.i −0.0624673 + 0.273687i −0.996510 0.0834744i \(-0.973398\pi\)
0.934043 + 0.357162i \(0.116255\pi\)
\(182\) −20116.7 + 9687.70i −0.0450172 + 0.0216791i
\(183\) 4918.78 21550.6i 0.0108575 0.0475698i
\(184\) −384180. + 481746.i −0.836547 + 1.04900i
\(185\) 26275.3 + 12653.5i 0.0564440 + 0.0271820i
\(186\) −92175.0 + 115584.i −0.195358 + 0.244971i
\(187\) −134.649 589.937i −0.000281579 0.00123368i
\(188\) 65377.8 31484.3i 0.134907 0.0649679i
\(189\) 285366. 137425.i 0.581096 0.279841i
\(190\) 4240.86 + 5317.87i 0.00852255 + 0.0106869i
\(191\) −195061. 854617.i −0.386889 1.69507i −0.675282 0.737559i \(-0.735978\pi\)
0.288393 0.957512i \(-0.406879\pi\)
\(192\) −28947.6 + 126828.i −0.0566709 + 0.248291i
\(193\) −397185. 498054.i −0.767538 0.962462i 0.232411 0.972618i \(-0.425339\pi\)
−0.999948 + 0.0101559i \(0.996767\pi\)
\(194\) 90682.0 + 113712.i 0.172988 + 0.216920i
\(195\) −41.5870 + 182.204i −7.83196e−5 + 0.000343141i
\(196\) 28791.9 + 126146.i 0.0535340 + 0.234548i
\(197\) 217488. + 272721.i 0.399272 + 0.500672i 0.940306 0.340329i \(-0.110538\pi\)
−0.541034 + 0.841001i \(0.681967\pi\)
\(198\) 205685. 99052.7i 0.372855 0.179557i
\(199\) 446801. 215168.i 0.799800 0.385163i 0.0110975 0.999938i \(-0.496467\pi\)
0.788703 + 0.614775i \(0.210753\pi\)
\(200\) −135423. 593327.i −0.239396 1.04886i
\(201\) −57805.3 + 72485.6i −0.100920 + 0.126550i
\(202\) 760473. + 366225.i 1.31131 + 0.631494i
\(203\) 294670. 369504.i 0.501875 0.629331i
\(204\) 17.0549 74.7225i 2.86929e−5 0.000125712i
\(205\) −14790.7 + 7122.80i −0.0245812 + 0.0118377i
\(206\) 134208. 588004.i 0.220349 0.965410i
\(207\) 655395. + 315621.i 1.06311 + 0.511965i
\(208\) −17848.6 −0.0286052
\(209\) 122959. 0.194712
\(210\) −6619.75 3187.90i −0.0103584 0.00498835i
\(211\) 94517.2 + 414107.i 0.146152 + 0.640334i 0.993933 + 0.109987i \(0.0350810\pi\)
−0.847781 + 0.530346i \(0.822062\pi\)
\(212\) 44621.9 + 55954.1i 0.0681880 + 0.0855051i
\(213\) 111796. 140188.i 0.168841 0.211720i
\(214\) 341871. 0.510302
\(215\) 14492.6 + 22360.2i 0.0213820 + 0.0329898i
\(216\) 329399. 0.480383
\(217\) −969773. + 1.21606e6i −1.39804 + 1.75309i
\(218\) −113167. 141907.i −0.161279 0.202238i
\(219\) −55672.1 243916.i −0.0784382 0.343660i
\(220\) 2768.23 + 1333.11i 0.00385608 + 0.00185699i
\(221\) 72.6616 0.000100075
\(222\) −236555. −0.322143
\(223\) 753109. + 362678.i 1.01414 + 0.488382i 0.865712 0.500542i \(-0.166866\pi\)
0.148423 + 0.988924i \(0.452580\pi\)
\(224\) −104340. + 457142.i −0.138941 + 0.608739i
\(225\) −647320. + 311733.i −0.852438 + 0.410512i
\(226\) −1734.28 + 7598.39i −0.00225865 + 0.00989579i
\(227\) 611850. 767236.i 0.788098 0.988244i −0.211842 0.977304i \(-0.567946\pi\)
0.999940 0.0109400i \(-0.00348237\pi\)
\(228\) 14031.8 + 6757.37i 0.0178763 + 0.00860876i
\(229\) −5920.38 + 7423.93i −0.00746038 + 0.00935502i −0.785548 0.618801i \(-0.787619\pi\)
0.778087 + 0.628156i \(0.216190\pi\)
\(230\) −7717.53 33812.7i −0.00961964 0.0421464i
\(231\) −119667. + 57628.8i −0.147552 + 0.0710574i
\(232\) 442839. 213260.i 0.540164 0.260129i
\(233\) −170989. 214413.i −0.206337 0.258739i 0.667885 0.744264i \(-0.267200\pi\)
−0.874222 + 0.485526i \(0.838628\pi\)
\(234\) 6100.08 + 26726.2i 0.00728276 + 0.0319078i
\(235\) −5037.35 + 22070.1i −0.00595021 + 0.0260696i
\(236\) 102160. + 128104.i 0.119399 + 0.149721i
\(237\) −126380. 158476.i −0.146153 0.183270i
\(238\) −635.655 + 2784.99i −0.000727410 + 0.00318699i
\(239\) −86048.6 377003.i −0.0974426 0.426924i 0.902551 0.430584i \(-0.141692\pi\)
−0.999993 + 0.00365961i \(0.998835\pi\)
\(240\) −3661.99 4592.00i −0.00410383 0.00514604i
\(241\) −626819. + 301860.i −0.695183 + 0.334783i −0.747886 0.663828i \(-0.768931\pi\)
0.0527024 + 0.998610i \(0.483217\pi\)
\(242\) 547587. 263704.i 0.601056 0.289453i
\(243\) −130963. 573788.i −0.142277 0.623355i
\(244\) 27207.9 34117.6i 0.0292563 0.0366863i
\(245\) −36368.0 17513.9i −0.0387083 0.0186410i
\(246\) 83023.5 104108.i 0.0874708 0.109685i
\(247\) −3285.50 + 14394.7i −0.00342656 + 0.0150128i
\(248\) −1.45740e6 + 701849.i −1.50470 + 0.724627i
\(249\) −64999.8 + 284783.i −0.0664375 + 0.291082i
\(250\) 61773.1 + 29748.3i 0.0625099 + 0.0301032i
\(251\) −1.90525e6 −1.90883 −0.954414 0.298485i \(-0.903519\pi\)
−0.954414 + 0.298485i \(0.903519\pi\)
\(252\) 304226. 0.301783
\(253\) −564874. 272029.i −0.554817 0.267186i
\(254\) 189578. + 830597.i 0.184376 + 0.807804i
\(255\) 14.9080 + 18.6940i 1.43572e−5 + 1.80033e-5i
\(256\) −409310. + 513258.i −0.390348 + 0.489481i
\(257\) 1.43074e6 1.35123 0.675615 0.737254i \(-0.263878\pi\)
0.675615 + 0.737254i \(0.263878\pi\)
\(258\) −184607. 112406.i −0.172663 0.105133i
\(259\) −2.48879e6 −2.30536
\(260\) −230.035 + 288.455i −0.000211038 + 0.000264633i
\(261\) −361787. 453666.i −0.328739 0.412226i
\(262\) 106266. + 465581.i 0.0956403 + 0.419027i
\(263\) −325429. 156718.i −0.290113 0.139711i 0.283167 0.959071i \(-0.408615\pi\)
−0.573280 + 0.819360i \(0.694329\pi\)
\(264\) −138132. −0.121979
\(265\) −22326.9 −0.0195305
\(266\) −522980. 251854.i −0.453191 0.218245i
\(267\) −4675.20 + 20483.4i −0.00401349 + 0.0175842i
\(268\) −164902. + 79412.7i −0.140246 + 0.0675387i
\(269\) 59143.5 259125.i 0.0498341 0.218337i −0.943879 0.330290i \(-0.892853\pi\)
0.993714 + 0.111953i \(0.0357106\pi\)
\(270\) −11559.9 + 14495.6i −0.00965037 + 0.0121012i
\(271\) −96921.5 46674.9i −0.0801673 0.0386065i 0.393371 0.919380i \(-0.371309\pi\)
−0.473538 + 0.880774i \(0.657023\pi\)
\(272\) −1423.76 + 1785.34i −0.00116685 + 0.00146318i
\(273\) −3549.02 15549.3i −0.00288205 0.0126271i
\(274\) 726671. 349947.i 0.584739 0.281595i
\(275\) 557914. 268677.i 0.444873 0.214239i
\(276\) −49512.7 62086.9i −0.0391240 0.0490600i
\(277\) 186322. + 816331.i 0.145903 + 0.639244i 0.993998 + 0.109399i \(0.0348927\pi\)
−0.848095 + 0.529845i \(0.822250\pi\)
\(278\) 257251. 1.12709e6i 0.199639 0.874674i
\(279\) 1.19066e6 + 1.49304e6i 0.915750 + 1.14831i
\(280\) −50124.3 62853.8i −0.0382079 0.0479112i
\(281\) 159187. 697442.i 0.120265 0.526917i −0.878523 0.477701i \(-0.841470\pi\)
0.998788 0.0492167i \(-0.0156725\pi\)
\(282\) −40859.8 179018.i −0.0305966 0.134052i
\(283\) 923485. + 1.15801e6i 0.685431 + 0.859503i 0.995842 0.0910992i \(-0.0290380\pi\)
−0.310411 + 0.950603i \(0.600467\pi\)
\(284\) 318924. 153585.i 0.234634 0.112994i
\(285\) −4377.48 + 2108.09i −0.00319236 + 0.00153736i
\(286\) −5257.56 23034.9i −0.00380075 0.0166522i
\(287\) 873490. 1.09532e6i 0.625970 0.784941i
\(288\) 518687. + 249787.i 0.368489 + 0.177455i
\(289\) −885261. + 1.11008e6i −0.623486 + 0.781826i
\(290\) −6156.14 + 26971.8i −0.00429847 + 0.0188328i
\(291\) −93603.4 + 45077.0i −0.0647977 + 0.0312049i
\(292\) 109905. 481524.i 0.0754326 0.330492i
\(293\) 2.18682e6 + 1.05312e6i 1.48814 + 0.716651i 0.988729 0.149714i \(-0.0478352\pi\)
0.499412 + 0.866365i \(0.333550\pi\)
\(294\) 327419. 0.220920
\(295\) −51116.4 −0.0341984
\(296\) −2.33200e6 1.12303e6i −1.54703 0.745010i
\(297\) 74581.2 + 326762.i 0.0490612 + 0.214951i
\(298\) 1.03415e6 + 1.29678e6i 0.674594 + 0.845914i
\(299\) 46939.9 58860.8i 0.0303644 0.0380757i
\(300\) 78433.8 0.0503153
\(301\) −1.94225e6 1.18262e6i −1.23563 0.752365i
\(302\) −282533. −0.178259
\(303\) −375919. + 471387.i −0.235227 + 0.294965i
\(304\) −289309. 362782.i −0.179547 0.225145i
\(305\) 3029.33 + 13272.4i 0.00186465 + 0.00816956i
\(306\) 3159.93 + 1521.74i 0.00192919 + 0.000929047i
\(307\) 2.03668e6 1.23332 0.616660 0.787229i \(-0.288485\pi\)
0.616660 + 0.787229i \(0.288485\pi\)
\(308\) −262207. −0.157495
\(309\) 388157. + 186927.i 0.231266 + 0.111372i
\(310\) 20260.2 88765.6i 0.0119740 0.0524615i
\(311\) 2.61784e6 1.26069e6i 1.53477 0.739104i 0.540036 0.841642i \(-0.318410\pi\)
0.994729 + 0.102538i \(0.0326962\pi\)
\(312\) 3690.95 16171.1i 0.00214660 0.00940488i
\(313\) 1.46160e6 1.83279e6i 0.843273 1.05743i −0.154316 0.988022i \(-0.549317\pi\)
0.997588 0.0694089i \(-0.0221113\pi\)
\(314\) 793946. + 382344.i 0.454430 + 0.218842i
\(315\) −59174.6 + 74202.7i −0.0336015 + 0.0421350i
\(316\) −89042.7 390121.i −0.0501626 0.219777i
\(317\) 913145. 439748.i 0.510378 0.245785i −0.160927 0.986966i \(-0.551448\pi\)
0.671305 + 0.741181i \(0.265734\pi\)
\(318\) 163167. 78577.2i 0.0904826 0.0435741i
\(319\) 311818. + 391007.i 0.171563 + 0.215134i
\(320\) −17828.0 78109.4i −0.00973256 0.0426411i
\(321\) −54340.4 + 238081.i −0.0294348 + 0.128962i
\(322\) 1.84539e6 + 2.31404e6i 0.991855 + 1.24375i
\(323\) 1177.78 + 1476.89i 0.000628140 + 0.000787663i
\(324\) 78265.5 342904.i 0.0414198 0.181472i
\(325\) 16546.3 + 72493.9i 0.00868944 + 0.0380709i
\(326\) −1.54360e6 1.93562e6i −0.804436 1.00873i
\(327\) 116813. 56254.1i 0.0604117 0.0290928i
\(328\) 1.31271e6 632167.i 0.673727 0.324450i
\(329\) −429886. 1.88345e6i −0.218959 0.959323i
\(330\) 4847.60 6078.70i 0.00245043 0.00307274i
\(331\) −2.59890e6 1.25157e6i −1.30383 0.627890i −0.352425 0.935840i \(-0.614643\pi\)
−0.951403 + 0.307950i \(0.900357\pi\)
\(332\) −359541. + 450850.i −0.179021 + 0.224485i
\(333\) −679950. + 2.97905e6i −0.336021 + 1.47220i
\(334\) 708468. 341180.i 0.347499 0.167347i
\(335\) 12705.7 55667.2i 0.00618566 0.0271011i
\(336\) 451595. + 217477.i 0.218223 + 0.105091i
\(337\) −1.96405e6 −0.942058 −0.471029 0.882118i \(-0.656117\pi\)
−0.471029 + 0.882118i \(0.656117\pi\)
\(338\) −1.85197e6 −0.881745
\(339\) −5015.91 2415.53i −0.00237056 0.00114160i
\(340\) 10.5036 + 46.0193i 4.92767e−6 + 2.15895e-5i
\(341\) −1.02621e6 1.28683e6i −0.477914 0.599286i
\(342\) −444347. + 557194.i −0.205427 + 0.257597i
\(343\) 292651. 0.134312
\(344\) −1.28625e6 1.98453e6i −0.586043 0.904192i
\(345\) 24774.1 0.0112060
\(346\) −2.12283e6 + 2.66195e6i −0.953291 + 1.19539i
\(347\) −490317. 614838.i −0.218601 0.274117i 0.660424 0.750893i \(-0.270377\pi\)
−0.879025 + 0.476776i \(0.841805\pi\)
\(348\) 14095.8 + 61757.5i 0.00623936 + 0.0273364i
\(349\) 3.40838e6 + 1.64139e6i 1.49790 + 0.721353i 0.990132 0.140139i \(-0.0447549\pi\)
0.507772 + 0.861491i \(0.330469\pi\)
\(350\) −2.92331e6 −1.27557
\(351\) −40246.7 −0.0174366
\(352\) −447048. 215287.i −0.192308 0.0926107i
\(353\) −604152. + 2.64696e6i −0.258053 + 1.13061i 0.665276 + 0.746597i \(0.268314\pi\)
−0.923330 + 0.384008i \(0.874543\pi\)
\(354\) 373563. 179899.i 0.158437 0.0762992i
\(355\) −24573.0 + 107661.i −0.0103487 + 0.0453408i
\(356\) −25860.5 + 32428.1i −0.0108146 + 0.0135611i
\(357\) −1838.45 885.348i −0.000763449 0.000367658i
\(358\) 1.60550e6 2.01323e6i 0.662067 0.830205i
\(359\) −157867. 691659.i −0.0646478 0.283241i 0.932263 0.361781i \(-0.117831\pi\)
−0.996911 + 0.0785403i \(0.974974\pi\)
\(360\) −88929.5 + 42826.2i −0.0361651 + 0.0174162i
\(361\) 1.88505e6 907794.i 0.761300 0.366623i
\(362\) 385381. + 483253.i 0.154568 + 0.193822i
\(363\) 96606.1 + 423259.i 0.0384802 + 0.168593i
\(364\) 7006.27 30696.5i 0.00277162 0.0121432i
\(365\) 96069.4 + 120467.i 0.0377444 + 0.0473300i
\(366\) −68849.2 86334.2i −0.0268656 0.0336884i
\(367\) −273680. + 1.19907e6i −0.106067 + 0.464708i 0.893801 + 0.448463i \(0.148028\pi\)
−0.999868 + 0.0162451i \(0.994829\pi\)
\(368\) 526485. + 2.30668e6i 0.202659 + 0.887908i
\(369\) −1.07245e6 1.34481e6i −0.410024 0.514154i
\(370\) 131259. 63211.1i 0.0498455 0.0240043i
\(371\) 1.71668e6 826711.i 0.647523 0.311831i
\(372\) −46389.9 203247.i −0.0173806 0.0761495i
\(373\) −2.64837e6 + 3.32095e6i −0.985612 + 1.23592i −0.0138620 + 0.999904i \(0.504413\pi\)
−0.971750 + 0.236014i \(0.924159\pi\)
\(374\) −2723.49 1311.56i −0.00100681 0.000484854i
\(375\) −30535.8 + 38290.7i −0.0112132 + 0.0140610i
\(376\) 447077. 1.95877e6i 0.163085 0.714521i
\(377\) −54107.0 + 26056.5i −0.0196065 + 0.00944199i
\(378\) 352084. 1.54258e6i 0.126741 0.555288i
\(379\) 1.48492e6 + 715099.i 0.531012 + 0.255722i 0.680122 0.733099i \(-0.261927\pi\)
−0.149110 + 0.988821i \(0.547641\pi\)
\(380\) −9591.64 −0.00340749
\(381\) −608567. −0.214781
\(382\) −3.94541e6 1.90001e6i −1.38335 0.666188i
\(383\) 1.08157e6 + 4.73868e6i 0.376755 + 1.65067i 0.707324 + 0.706890i \(0.249902\pi\)
−0.330569 + 0.943782i \(0.607241\pi\)
\(384\) 227187. + 284883.i 0.0786240 + 0.0985914i
\(385\) 51001.6 63954.0i 0.0175361 0.0219895i
\(386\) −3.18234e6 −1.08712
\(387\) −1.94621e6 + 2.00176e6i −0.660561 + 0.679413i
\(388\) −205097. −0.0691641
\(389\) −1.99249e6 + 2.49851e6i −0.667610 + 0.837157i −0.994148 0.108027i \(-0.965547\pi\)
0.326538 + 0.945184i \(0.394118\pi\)
\(390\) 582.101 + 729.932i 0.000193793 + 0.000243008i
\(391\) −2143.32 9390.50i −0.000708999 0.00310633i
\(392\) 3.22776e6 + 1.55441e6i 1.06093 + 0.510915i
\(393\) −341125. −0.111412
\(394\) 1.74256e6 0.565520
\(395\) 112473. + 54164.1i 0.0362706 + 0.0174670i
\(396\) −71636.2 + 313859.i −0.0229559 + 0.100576i
\(397\) 3.03588e6 1.46200e6i 0.966736 0.465556i 0.117213 0.993107i \(-0.462604\pi\)
0.849523 + 0.527551i \(0.176890\pi\)
\(398\) 551262. 2.41524e6i 0.174442 0.764279i
\(399\) 258521. 324175.i 0.0812949 0.101941i
\(400\) −2.10543e6 1.01392e6i −0.657947 0.316851i
\(401\) −1.23433e6 + 1.54780e6i −0.383328 + 0.480678i −0.935638 0.352960i \(-0.885175\pi\)
0.552310 + 0.833639i \(0.313746\pi\)
\(402\) 103060. + 451538.i 0.0318073 + 0.139357i
\(403\) 178069. 85753.4i 0.0546167 0.0263020i
\(404\) −1.07239e6 + 516435.i −0.326888 + 0.157421i
\(405\) 68413.1 + 85787.4i 0.0207254 + 0.0259888i
\(406\) −525363. 2.30177e6i −0.158178 0.693021i
\(407\) 586037. 2.56760e6i 0.175363 0.768318i
\(408\) −1323.12 1659.14i −0.000393504 0.000493439i
\(409\) −1.77478e6 2.22550e6i −0.524609 0.657839i 0.446972 0.894548i \(-0.352502\pi\)
−0.971580 + 0.236709i \(0.923931\pi\)
\(410\) −18248.7 + 79952.7i −0.00536132 + 0.0234895i
\(411\) 128200. + 561683.i 0.0374356 + 0.164016i
\(412\) 530280. + 664950.i 0.153908 + 0.192995i
\(413\) 3.93026e6 1.89271e6i 1.13383 0.546022i
\(414\) 3.27405e6 1.57670e6i 0.938826 0.452115i
\(415\) −40031.4 175389.i −0.0114099 0.0499899i
\(416\) 37148.8 46583.2i 0.0105248 0.0131976i
\(417\) 744022. + 358302.i 0.209530 + 0.100904i
\(418\) 382975. 480236.i 0.107209 0.134436i
\(419\) −624417. + 2.73575e6i −0.173756 + 0.761275i 0.810674 + 0.585498i \(0.199101\pi\)
−0.984430 + 0.175777i \(0.943756\pi\)
\(420\) 9334.91 4495.46i 0.00258218 0.00124351i
\(421\) 383082. 1.67839e6i 0.105338 0.461517i −0.894556 0.446957i \(-0.852508\pi\)
0.999894 0.0145608i \(-0.00463503\pi\)
\(422\) 1.91176e6 + 920654.i 0.522579 + 0.251661i
\(423\) −2.37192e6 −0.644538
\(424\) 1.98157e6 0.535298
\(425\) 8571.21 + 4127.68i 0.00230181 + 0.00110849i
\(426\) −199321. 873281.i −0.0532143 0.233147i
\(427\) −724363. 908322.i −0.192259 0.241085i
\(428\) −300580. + 376915.i −0.0793141 + 0.0994567i
\(429\) 16877.3 0.00442752
\(430\) 132471. + 13041.5i 0.0345502 + 0.00340139i
\(431\) −4.31581e6 −1.11910 −0.559551 0.828796i \(-0.689026\pi\)
−0.559551 + 0.828796i \(0.689026\pi\)
\(432\) 788608. 988883.i 0.203307 0.254939i
\(433\) −3.61085e6 4.52786e6i −0.925528 1.16058i −0.986717 0.162449i \(-0.948061\pi\)
0.0611891 0.998126i \(-0.480511\pi\)
\(434\) 1.72900e6 + 7.57524e6i 0.440626 + 1.93051i
\(435\) −17804.8 8574.35i −0.00451144 0.00217259i
\(436\) 255952. 0.0644827
\(437\) 1.95723e6 0.490273
\(438\) −1.12606e6 542280.i −0.280462 0.135064i
\(439\) 639033. 2.79979e6i 0.158257 0.693368i −0.832077 0.554660i \(-0.812848\pi\)
0.990333 0.138707i \(-0.0442947\pi\)
\(440\) 76646.8 36911.2i 0.0188739 0.00908921i
\(441\) 941130. 4.12336e6i 0.230437 1.00961i
\(442\) 226.317 283.793i 5.51013e−5 6.90948e-5i
\(443\) −5.11866e6 2.46502e6i −1.23922 0.596775i −0.304616 0.952475i \(-0.598528\pi\)
−0.934600 + 0.355700i \(0.884242\pi\)
\(444\) 207984. 260803.i 0.0500693 0.0627850i
\(445\) −2879.31 12615.1i −0.000689270 0.00301989i
\(446\) 3.76219e6 1.81178e6i 0.895579 0.431288i
\(447\) −1.06747e6 + 514064.i −0.252688 + 0.121688i
\(448\) 4.26296e6 + 5.34559e6i 1.00350 + 1.25835i
\(449\) 1.48686e6 + 6.51437e6i 0.348061 + 1.52495i 0.781578 + 0.623808i \(0.214415\pi\)
−0.433517 + 0.901145i \(0.642728\pi\)
\(450\) −798662. + 3.49917e6i −0.185922 + 0.814579i
\(451\) 924324. + 1.15907e6i 0.213985 + 0.268328i
\(452\) −6852.47 8592.73i −0.00157762 0.00197827i
\(453\) 44908.6 196758.i 0.0102822 0.0450491i
\(454\) −1.09086e6 4.77937e6i −0.248388 1.08826i
\(455\) 6124.29 + 7679.62i 0.00138684 + 0.00173905i
\(456\) 388513. 187098.i 0.0874971 0.0421364i
\(457\) 5.35358e6 2.57815e6i 1.19910 0.577454i 0.275678 0.961250i \(-0.411098\pi\)
0.923418 + 0.383796i \(0.125383\pi\)
\(458\) 10555.4 + 46246.2i 0.00235131 + 0.0103018i
\(459\) −3210.43 + 4025.75i −0.000711264 + 0.000891897i
\(460\) 44064.2 + 21220.2i 0.00970937 + 0.00467579i
\(461\) 4.03925e6 5.06506e6i 0.885215 1.11002i −0.108048 0.994146i \(-0.534460\pi\)
0.993263 0.115879i \(-0.0369685\pi\)
\(462\) −147645. + 646877.i −0.0321821 + 0.140999i
\(463\) 1.35427e6 652184.i 0.293599 0.141390i −0.281286 0.959624i \(-0.590761\pi\)
0.574885 + 0.818234i \(0.305047\pi\)
\(464\) 419968. 1.84000e6i 0.0905569 0.396756i
\(465\) 58596.6 + 28218.6i 0.0125672 + 0.00605207i
\(466\) −1.37000e6 −0.292251
\(467\) 5.51111e6 1.16936 0.584678 0.811265i \(-0.301221\pi\)
0.584678 + 0.811265i \(0.301221\pi\)
\(468\) −34829.2 16772.8i −0.00735069 0.00353991i
\(469\) 1.08430e6 + 4.75063e6i 0.227624 + 0.997284i
\(470\) 70508.8 + 88415.2i 0.0147231 + 0.0184622i
\(471\) −392465. + 492135.i −0.0815170 + 0.102219i
\(472\) 4.53671e6 0.937317
\(473\) 1.67741e6 1.72528e6i 0.344736 0.354574i
\(474\) −1.01259e6 −0.207008
\(475\) −1.20528e6 + 1.51137e6i −0.245105 + 0.307353i
\(476\) −2511.59 3149.43i −0.000508079 0.000637111i
\(477\) −520558. 2.28071e6i −0.104755 0.458960i
\(478\) −1.74047e6 838164.i −0.348414 0.167787i
\(479\) −6.73273e6 −1.34076 −0.670382 0.742016i \(-0.733870\pi\)
−0.670382 + 0.742016i \(0.733870\pi\)
\(480\) 19606.5 0.00388416
\(481\) 284928. + 137214.i 0.0561530 + 0.0270419i
\(482\) −773367. + 3.38834e6i −0.151624 + 0.664309i
\(483\) −1.90484e6 + 917323.i −0.371527 + 0.178918i
\(484\) −190714. + 835573.i −0.0370058 + 0.162133i
\(485\) 39893.3 50024.6i 0.00770098 0.00965672i
\(486\) −2.64894e6 1.27566e6i −0.508722 0.244988i
\(487\) −4.97510e6 + 6.23858e6i −0.950561 + 1.19197i 0.0307486 + 0.999527i \(0.490211\pi\)
−0.981309 + 0.192438i \(0.938361\pi\)
\(488\) −268861. 1.17796e6i −0.0511067 0.223913i
\(489\) 1.59333e6 767308.i 0.301324 0.145110i
\(490\) −181678. + 87491.6i −0.0341832 + 0.0164618i
\(491\) 1.68002e6 + 2.10668e6i 0.314493 + 0.394362i 0.913805 0.406154i \(-0.133130\pi\)
−0.599311 + 0.800516i \(0.704559\pi\)
\(492\) 41784.1 + 183068.i 0.00778213 + 0.0340957i
\(493\) −1709.69 + 7490.65i −0.000316811 + 0.00138804i
\(494\) 45987.8 + 57666.9i 0.00847862 + 0.0106319i
\(495\) −62618.3 78520.9i −0.0114865 0.0144036i
\(496\) −1.38214e6 + 6.05554e6i −0.252259 + 1.10522i
\(497\) −2.09705e6 9.18779e6i −0.380819 1.66848i
\(498\) 909815. + 1.14087e6i 0.164392 + 0.206141i
\(499\) −4.15937e6 + 2.00305e6i −0.747784 + 0.360114i −0.768651 0.639669i \(-0.779072\pi\)
0.0208670 + 0.999782i \(0.493357\pi\)
\(500\) −87109.9 + 41949.9i −0.0155827 + 0.00750423i
\(501\) 124989. + 547612.i 0.0222473 + 0.0974718i
\(502\) −5.93422e6 + 7.44128e6i −1.05100 + 1.31792i
\(503\) 7.66136e6 + 3.68951e6i 1.35016 + 0.650203i 0.962420 0.271565i \(-0.0875411\pi\)
0.387741 + 0.921768i \(0.373255\pi\)
\(504\) 5.25190e6 6.58568e6i 0.920959 1.15485i
\(505\) 82627.4 362014.i 0.0144177 0.0631680i
\(506\) −2.82185e6 + 1.35893e6i −0.489957 + 0.235951i
\(507\) 294372. 1.28973e6i 0.0508600 0.222832i
\(508\) −1.08242e6 521267.i −0.186096 0.0896191i
\(509\) −151970. −0.0259994 −0.0129997 0.999916i \(-0.504138\pi\)
−0.0129997 + 0.999916i \(0.504138\pi\)
\(510\) 119.446 2.03351e−5
\(511\) −1.18472e7 5.70533e6i −2.00708 0.966559i
\(512\) 1.45687e6 + 6.38295e6i 0.245609 + 1.07608i
\(513\) −652361. 818035.i −0.109445 0.137239i
\(514\) 4.45630e6 5.58802e6i 0.743989 0.932933i
\(515\) −265330. −0.0440827
\(516\) 286238. 104702.i 0.0473264 0.0173113i
\(517\) 2.04432e6 0.336374
\(518\) −7.75177e6 + 9.72041e6i −1.26934 + 1.59170i
\(519\) −1.51637e6 1.90147e6i −0.247108 0.309864i
\(520\) 2273.14 + 9959.29i 0.000368654 + 0.00161518i
\(521\) −7.21053e6 3.47241e6i −1.16379 0.560450i −0.250639 0.968081i \(-0.580641\pi\)
−0.913147 + 0.407631i \(0.866355\pi\)
\(522\) −2.89872e6 −0.465618
\(523\) 5.01745e6 0.802100 0.401050 0.916056i \(-0.368645\pi\)
0.401050 + 0.916056i \(0.368645\pi\)
\(524\) −606738. 292190.i −0.0965324 0.0464876i
\(525\) 464661. 2.03581e6i 0.0735762 0.322359i
\(526\) −1.62570e6 + 782893.i −0.256197 + 0.123378i
\(527\) 5626.68 24652.1i 0.000882523 0.00386658i
\(528\) −330700. + 414685.i −0.0516238 + 0.0647342i
\(529\) −3.19260e6 1.53747e6i −0.496027 0.238874i
\(530\) −69541.1 + 87201.8i −0.0107535 + 0.0134845i
\(531\) −1.19179e6 5.22158e6i −0.183427 0.803647i
\(532\) 737486. 355155.i 0.112973 0.0544050i
\(533\) −160390. + 77239.5i −0.0244545 + 0.0117766i
\(534\) 65439.8 + 82058.9i 0.00993090 + 0.0124530i
\(535\) −33466.6 146627.i −0.00505507 0.0221477i
\(536\) −1.12766e6 + 4.94061e6i −0.169538 + 0.742794i
\(537\) 1.14683e6 + 1.43808e6i 0.171618 + 0.215203i
\(538\) −827844. 1.03808e6i −0.123308 0.154624i
\(539\) −811144. + 3.55385e6i −0.120261 + 0.526899i
\(540\) −5817.86 25489.7i −0.000858577 0.00376167i
\(541\) 1.15521e6 + 1.44859e6i 0.169695 + 0.212791i 0.859406 0.511294i \(-0.170834\pi\)
−0.689711 + 0.724085i \(0.742262\pi\)
\(542\) −484176. + 233167.i −0.0707954 + 0.0340933i
\(543\) −397797. + 191569.i −0.0578978 + 0.0278821i
\(544\) −1696.25 7431.76i −0.000245750 0.00107670i
\(545\) −49785.1 + 62428.5i −0.00717973 + 0.00900309i
\(546\) −71784.4 34569.6i −0.0103050 0.00496263i
\(547\) 2.79540e6 3.50533e6i 0.399463 0.500910i −0.540899 0.841088i \(-0.681916\pi\)
0.940361 + 0.340177i \(0.110487\pi\)
\(548\) −253086. + 1.10884e6i −0.0360012 + 0.157731i
\(549\) −1.28515e6 + 618896.i −0.181980 + 0.0876369i
\(550\) 688353. 3.01587e6i 0.0970297 0.425115i
\(551\) −1.40664e6 677400.i −0.197380 0.0950531i
\(552\) −2.19876e6 −0.307136
\(553\) −1.06534e7 −1.48141
\(554\) 3.76866e6 + 1.81489e6i 0.521689 + 0.251232i
\(555\) 23156.9 + 101457.i 0.00319116 + 0.0139814i
\(556\) 1.01644e6 + 1.27458e6i 0.139443 + 0.174856i
\(557\) 7.06944e6 8.86480e6i 0.965488 1.21068i −0.0120505 0.999927i \(-0.503836\pi\)
0.977539 0.210756i \(-0.0675927\pi\)
\(558\) 9.53984e6 1.29705
\(559\) 157157. + 242474.i 0.0212718 + 0.0328197i
\(560\) −308694. −0.0415966
\(561\) 1346.28 1688.18i 0.000180605 0.000226471i
\(562\) −2.22817e6 2.79404e6i −0.297582 0.373157i
\(563\) 3.09107e6 + 1.35429e7i 0.410996 + 1.80069i 0.579477 + 0.814988i \(0.303257\pi\)
−0.168481 + 0.985705i \(0.553886\pi\)
\(564\) 233294. + 112348.i 0.0308820 + 0.0148720i
\(565\) 3428.69 0.000451864
\(566\) 7.39918e6 0.970828
\(567\) −8.43667e6 4.06289e6i −1.10208 0.530734i
\(568\) 2.18092e6 9.55522e6i 0.283641 1.24271i
\(569\) 1.42456e6 686032.i 0.184459 0.0888309i −0.339375 0.940651i \(-0.610215\pi\)
0.523834 + 0.851820i \(0.324501\pi\)
\(570\) −5400.93 + 23663.0i −0.000696276 + 0.00305058i
\(571\) −67371.0 + 84480.5i −0.00864734 + 0.0108434i −0.786136 0.618053i \(-0.787922\pi\)
0.777489 + 0.628897i \(0.216493\pi\)
\(572\) 30018.7 + 14456.2i 0.00383620 + 0.00184742i
\(573\) 1.95030e6 2.44560e6i 0.248150 0.311171i
\(574\) −1.55734e6 6.82314e6i −0.197289 0.864380i
\(575\) 8.88076e6 4.27675e6i 1.12016 0.539441i
\(576\) 7.56327e6 3.64228e6i 0.949846 0.457422i
\(577\) 7.44050e6 + 9.33009e6i 0.930384 + 1.16667i 0.985753 + 0.168199i \(0.0537951\pi\)
−0.0553687 + 0.998466i \(0.517633\pi\)
\(578\) 1.57832e6 + 6.91508e6i 0.196506 + 0.860949i
\(579\) 505834. 2.21620e6i 0.0627063 0.274734i
\(580\) −24324.0 30501.4i −0.00300238 0.00376487i
\(581\) 9.57217e6 + 1.20031e7i 1.17644 + 1.47521i
\(582\) −115488. + 505985.i −0.0141328 + 0.0619199i
\(583\) 448660. + 1.96571e6i 0.0546696 + 0.239523i
\(584\) −8.52641e6 1.06918e7i −1.03451 1.29723i
\(585\) 10865.6 5232.60i 0.00131270 0.000632161i
\(586\) 1.09244e7 5.26090e6i 1.31417 0.632872i
\(587\) 718442. + 3.14770e6i 0.0860590 + 0.377049i 0.999556 0.0297964i \(-0.00948589\pi\)
−0.913497 + 0.406845i \(0.866629\pi\)
\(588\) −287874. + 360982.i −0.0343367 + 0.0430569i
\(589\) 4.62931e6 + 2.22936e6i 0.549830 + 0.264784i
\(590\) −159211. + 199644.i −0.0188297 + 0.0236117i
\(591\) −276981. + 1.21353e6i −0.0326198 + 0.142917i
\(592\) −8.95442e6 + 4.31222e6i −1.05011 + 0.505705i
\(593\) 1.15836e6 5.07510e6i 0.135271 0.592663i −0.861166 0.508324i \(-0.830265\pi\)
0.996437 0.0843387i \(-0.0268778\pi\)
\(594\) 1.50852e6 + 726465.i 0.175422 + 0.0844790i
\(595\) 1256.69 0.000145525
\(596\) −2.33896e6 −0.269716
\(597\) 1.59436e6 + 767805.i 0.183085 + 0.0881689i
\(598\) −83688.7 366664.i −0.00957004 0.0419291i
\(599\) 6.53801e6 + 8.19841e6i 0.744524 + 0.933604i 0.999443 0.0333586i \(-0.0106203\pi\)
−0.254919 + 0.966962i \(0.582049\pi\)
\(600\) 1.35402e6 1.69788e6i 0.153549 0.192544i
\(601\) −6.41619e6 −0.724588 −0.362294 0.932064i \(-0.618006\pi\)
−0.362294 + 0.932064i \(0.618006\pi\)
\(602\) −1.06684e7 + 3.90234e6i −1.19980 + 0.438868i
\(603\) 5.98268e6 0.670043
\(604\) 248409. 311495.i 0.0277060 0.0347423i
\(605\) −166706. 209043.i −0.0185167 0.0232192i
\(606\) 670221. + 2.93643e6i 0.0741373 + 0.324817i
\(607\) 6.99678e6 + 3.36947e6i 0.770773 + 0.371185i 0.777573 0.628792i \(-0.216450\pi\)
−0.00680051 + 0.999977i \(0.502165\pi\)
\(608\) 1.54898e6 0.169936
\(609\) 1.68647e6 0.184262
\(610\) 61272.9 + 29507.5i 0.00666720 + 0.00321076i
\(611\) −54624.9 + 239327.i −0.00591953 + 0.0259352i
\(612\) −4456.01 + 2145.90i −0.000480914 + 0.000231596i
\(613\) 571890. 2.50561e6i 0.0614697 0.269316i −0.934849 0.355046i \(-0.884465\pi\)
0.996318 + 0.0857299i \(0.0273222\pi\)
\(614\) 6.34358e6 7.95460e6i 0.679068 0.851525i
\(615\) −52778.9 25417.0i −0.00562695 0.00270980i
\(616\) −4.52653e6 + 5.67608e6i −0.480633 + 0.602694i
\(617\) −3.59397e6 1.57462e7i −0.380068 1.66519i −0.697255 0.716823i \(-0.745596\pi\)
0.317187 0.948363i \(-0.397262\pi\)
\(618\) 1.93906e6 933801.i 0.204230 0.0983519i
\(619\) −4.06903e6 + 1.95954e6i −0.426839 + 0.205555i −0.634955 0.772550i \(-0.718981\pi\)
0.208116 + 0.978104i \(0.433267\pi\)
\(620\) 80051.7 + 100382.i 0.00836356 + 0.0104876i
\(621\) 1.18717e6 + 5.20132e6i 0.123533 + 0.541234i
\(622\) 3.22988e6 1.41511e7i 0.334743 1.46660i
\(623\) 688492. + 863342.i 0.0710688 + 0.0891174i
\(624\) −39710.6 49795.5i −0.00408268 0.00511951i
\(625\) −2.16299e6 + 9.47666e6i −0.221490 + 0.970410i
\(626\) −2.60587e6 1.14171e7i −0.265777 1.16445i
\(627\) 273565. + 343040.i 0.0277903 + 0.0348479i
\(628\) −1.11959e6 + 539166.i −0.113282 + 0.0545536i
\(629\) 36453.5 17555.1i 0.00367377 0.00176920i
\(630\) 105502. + 462234.i 0.0105903 + 0.0463992i
\(631\) −8.17316e6 + 1.02488e7i −0.817178 + 1.02471i 0.181965 + 0.983305i \(0.441754\pi\)
−0.999143 + 0.0414035i \(0.986817\pi\)
\(632\) −9.98225e6 4.80720e6i −0.994113 0.478740i
\(633\) −945024. + 1.18502e6i −0.0937418 + 0.117549i
\(634\) 1.12664e6 4.93612e6i 0.111317 0.487711i
\(635\) 337681. 162619.i 0.0332332 0.0160043i
\(636\) −56828.0 + 248980.i −0.00557083 + 0.0244074i
\(637\) −394374. 189921.i −0.0385088 0.0185449i
\(638\) 2.49836e6 0.242998
\(639\) −1.15706e7 −1.12100
\(640\) −202187. 97368.0i −0.0195120 0.00939650i
\(641\) 1.20664e6 + 5.28661e6i 0.115993 + 0.508198i 0.999229 + 0.0392687i \(0.0125028\pi\)
−0.883236 + 0.468929i \(0.844640\pi\)
\(642\) 760614. + 953780.i 0.0728328 + 0.0913294i
\(643\) 8.02394e6 1.00617e7i 0.765350 0.959719i −0.234573 0.972099i \(-0.575369\pi\)
0.999923 + 0.0123795i \(0.00394061\pi\)
\(644\) −4.17376e6 −0.396563
\(645\) −30138.5 + 90180.9i −0.00285248 + 0.00853523i
\(646\) 9436.62 0.000889683
\(647\) −2.27897e6 + 2.85774e6i −0.214032 + 0.268388i −0.877245 0.480043i \(-0.840621\pi\)
0.663213 + 0.748431i \(0.269192\pi\)
\(648\) −6.07184e6 7.61385e6i −0.568045 0.712306i
\(649\) 1.02718e6 + 4.50039e6i 0.0957275 + 0.419410i
\(650\) 334674. + 161170.i 0.0310698 + 0.0149624i
\(651\) −5.55027e6 −0.513289
\(652\) 3.49120e6 0.321629
\(653\) −9.11221e6 4.38821e6i −0.836259 0.402721i −0.0338004 0.999429i \(-0.510761\pi\)
−0.802459 + 0.596707i \(0.796475\pi\)
\(654\) 144124. 631446.i 0.0131762 0.0577287i
\(655\) 189283. 91154.0i 0.0172389 0.00830180i
\(656\) 1.24491e6 5.45432e6i 0.112948 0.494859i
\(657\) −1.00659e7 + 1.26223e7i −0.909789 + 1.14084i
\(658\) −8.69511e6 4.18734e6i −0.782907 0.377028i
\(659\) −695997. + 872752.i −0.0624300 + 0.0782848i −0.812066 0.583566i \(-0.801657\pi\)
0.749636 + 0.661850i \(0.230229\pi\)
\(660\) 2439.70 + 10689.0i 0.000218010 + 0.000955166i
\(661\) 1.00367e7 4.83344e6i 0.893488 0.430281i 0.0699556 0.997550i \(-0.477714\pi\)
0.823533 + 0.567269i \(0.192000\pi\)
\(662\) −1.29829e7 + 6.25226e6i −1.15141 + 0.554487i
\(663\) 161.662 + 202.718i 1.42831e−5 + 1.79105e-5i
\(664\) 3.55289e6 + 1.55662e7i 0.312724 + 1.37013i
\(665\) −56823.2 + 248959.i −0.00498278 + 0.0218310i
\(666\) 9.51740e6 + 1.19344e7i 0.831443 + 1.04260i
\(667\) 4.96346e6 + 6.22398e6i 0.431986 + 0.541693i
\(668\) −246746. + 1.08106e6i −0.0213948 + 0.0937368i
\(669\) 663732. + 2.90800e6i 0.0573360 + 0.251205i
\(670\) −177844. 223009.i −0.0153057 0.0191927i
\(671\) 1.10765e6 533416.i 0.0949721 0.0457362i
\(672\) −1.50751e6 + 725981.i −0.128777 + 0.0620157i
\(673\) −1.77007e6 7.75520e6i −0.150645 0.660017i −0.992698 0.120624i \(-0.961511\pi\)
0.842054 0.539394i \(-0.181347\pi\)
\(674\) −6.11737e6 + 7.67093e6i −0.518698 + 0.650427i
\(675\) −4.74752e6 2.28629e6i −0.401059 0.193140i
\(676\) 1.62829e6 2.04182e6i 0.137046 0.171850i
\(677\) 2.15775e6 9.45374e6i 0.180938 0.792742i −0.800247 0.599671i \(-0.795298\pi\)
0.981185 0.193071i \(-0.0618448\pi\)
\(678\) −25057.2 + 12066.9i −0.00209343 + 0.00100814i
\(679\) −1.21505e6 + 5.32347e6i −0.101139 + 0.443119i
\(680\) 1177.52 + 567.065i 9.76555e−5 + 4.70284e-5i
\(681\) 3.50178e6 0.289348
\(682\) −8.22223e6 −0.676906
\(683\) −1.97069e7 9.49033e6i −1.61646 0.778448i −0.616503 0.787353i \(-0.711451\pi\)
−0.999960 + 0.00890505i \(0.997165\pi\)
\(684\) −223631. 979793.i −0.0182765 0.0800745i
\(685\) −221226. 277409.i −0.0180140 0.0225889i
\(686\) 911513. 1.14300e6i 0.0739525 0.0927334i
\(687\) −33883.9 −0.00273906
\(688\) −9.03711e6 889684.i −0.727878 0.0716580i
\(689\) −242113. −0.0194299
\(690\) 77163.2 96759.5i 0.00617003 0.00773697i
\(691\) 2.39677e6 + 3.00545e6i 0.190955 + 0.239450i 0.868088 0.496411i \(-0.165349\pi\)
−0.677133 + 0.735861i \(0.736778\pi\)
\(692\) −1.06838e6 4.68088e6i −0.0848126 0.371588i
\(693\) 7.72206e6 + 3.71875e6i 0.610802 + 0.294147i
\(694\) −3.92853e6 −0.309622
\(695\) −508587. −0.0399395
\(696\) 1.58022e6 + 760996.i 0.123650 + 0.0595469i
\(697\) −5068.05 + 22204.6i −0.000395147 + 0.00173125i
\(698\) 1.70267e7 8.19963e6i 1.32279 0.637024i
\(699\) 217762. 954078.i 0.0168573 0.0738569i
\(700\) 2.57023e6 3.22297e6i 0.198257 0.248606i
\(701\) 1.44377e7 + 6.95281e6i 1.10969 + 0.534399i 0.896692 0.442654i \(-0.145963\pi\)
0.212998 + 0.977053i \(0.431677\pi\)
\(702\) −125355. + 157190.i −0.00960062 + 0.0120388i
\(703\) 1.82947e6 + 8.01543e6i 0.139617 + 0.611700i
\(704\) −6.51865e6 + 3.13922e6i −0.495708 + 0.238721i
\(705\) −72780.3 + 35049.2i −0.00551495 + 0.00265586i
\(706\) 8.45644e6 + 1.06040e7i 0.638522 + 0.800681i
\(707\) 7.05140e6 + 3.08942e7i 0.530551 + 2.32449i
\(708\) −130105. + 570027.i −0.00975463 + 0.0427378i
\(709\) 9.79630e6 + 1.22842e7i 0.731891 + 0.917763i 0.998945 0.0459190i \(-0.0146216\pi\)
−0.267054 + 0.963682i \(0.586050\pi\)
\(710\) 343953. + 431304.i 0.0256067 + 0.0321098i
\(711\) −2.91057e6 + 1.27520e7i −0.215925 + 0.946030i
\(712\) 255547. + 1.11962e6i 0.0188917 + 0.0827698i
\(713\) −1.63350e7 2.04834e7i −1.20336 1.50896i
\(714\) −9184.04 + 4422.80i −0.000674199 + 0.000324677i
\(715\) −9364.88 + 4509.89i −0.000685073 + 0.000329914i
\(716\) 808015. + 3.54015e6i 0.0589029 + 0.258071i
\(717\) 860351. 1.07885e6i 0.0624997 0.0783721i
\(718\) −3.19310e6 1.53771e6i −0.231154 0.111318i
\(719\) 1.55273e7 1.94706e7i 1.12014 1.40462i 0.216527 0.976277i \(-0.430527\pi\)
0.903617 0.428340i \(-0.140902\pi\)
\(720\) −84336.7 + 369503.i −0.00606297 + 0.0265636i
\(721\) 2.04008e7 9.82452e6i 1.46154 0.703839i
\(722\) 2.32578e6 1.01899e7i 0.166045 0.727489i
\(723\) −2.23674e6 1.07716e6i −0.159136 0.0766360i
\(724\) −871626. −0.0617993
\(725\) −7.86269e6 −0.555554
\(726\) 1.95401e6 + 941001.i 0.137589 + 0.0662595i
\(727\) −3.35396e6 1.46947e7i −0.235354 1.03115i −0.945122 0.326719i \(-0.894057\pi\)
0.709767 0.704436i \(-0.248800\pi\)
\(728\) −543546. 681586.i −0.0380109 0.0476642i
\(729\) −6.25513e6 + 7.84369e6i −0.435931 + 0.546640i
\(730\) 769731. 0.0534603
\(731\) 36790.1 + 3621.91i 0.00254646 + 0.000250694i
\(732\) 155718. 0.0107414
\(733\) 1.31096e6 1.64389e6i 0.0901218 0.113009i −0.734726 0.678364i \(-0.762689\pi\)
0.824848 + 0.565355i \(0.191261\pi\)
\(734\) 3.83076e6 + 4.80362e6i 0.262449 + 0.329101i
\(735\) −32051.9 140429.i −0.00218845 0.00958821i
\(736\) −7.11602e6 3.42689e6i −0.484220 0.233188i
\(737\) −5.15637e6 −0.349684
\(738\) −8.59269e6 −0.580749
\(739\) −2.00601e7 9.66043e6i −1.35121 0.650707i −0.388548 0.921428i \(-0.627023\pi\)
−0.962658 + 0.270722i \(0.912738\pi\)
\(740\) −45715.1 + 200291.i −0.00306888 + 0.0134457i
\(741\) −47469.4 + 22860.0i −0.00317591 + 0.00152944i
\(742\) 2.11804e6 9.27974e6i 0.141229 0.618765i
\(743\) 1.45938e7 1.83000e7i 0.969830 1.21613i −0.00653067 0.999979i \(-0.502079\pi\)
0.976360 0.216149i \(-0.0693498\pi\)
\(744\) −5.20060e6 2.50448e6i −0.344446 0.165876i
\(745\) 454949. 570487.i 0.0300311 0.0376578i
\(746\) 4.72174e6 + 2.06873e7i 0.310639 + 1.36100i
\(747\) 1.69828e7 8.17847e6i 1.11354 0.536254i
\(748\) 3840.56 1849.52i 0.000250981 0.000120866i
\(749\) 8.00242e6 + 1.00347e7i 0.521215 + 0.653583i
\(750\) 54441.9 + 238526.i 0.00353411 + 0.0154840i
\(751\) −1.67118e6 + 7.32191e6i −0.108124 + 0.473723i 0.891655 + 0.452715i \(0.149545\pi\)
−0.999779 + 0.0210077i \(0.993313\pi\)
\(752\) −4.81007e6 6.03163e6i −0.310175 0.388947i
\(753\) −4.23891e6 5.31542e6i −0.272437 0.341626i
\(754\) −66757.1 + 292482.i −0.00427631 + 0.0187357i
\(755\) 27657.9 + 121177.i 0.00176584 + 0.00773665i
\(756\) 1.39115e6 + 1.74444e6i 0.0885256 + 0.111008i
\(757\) 1.86942e7 9.00263e6i 1.18568 0.570992i 0.266116 0.963941i \(-0.414260\pi\)
0.919560 + 0.392949i \(0.128545\pi\)
\(758\) 7.41797e6 3.57231e6i 0.468935