Properties

Label 43.8.g.a.9.15
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.15
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.15

$q$-expansion

\(f(q)\) \(=\) \(q+(3.07492 + 3.85582i) q^{2} +(78.3361 + 11.8073i) q^{3} +(23.0704 - 101.078i) q^{4} +(247.532 + 168.764i) q^{5} +(195.350 + 338.356i) q^{6} +(-868.409 + 1504.13i) q^{7} +(1029.43 - 495.748i) q^{8} +(3907.29 + 1205.24i) q^{9} +O(q^{10})\) \(q+(3.07492 + 3.85582i) q^{2} +(78.3361 + 11.8073i) q^{3} +(23.0704 - 101.078i) q^{4} +(247.532 + 168.764i) q^{5} +(195.350 + 338.356i) q^{6} +(-868.409 + 1504.13i) q^{7} +(1029.43 - 495.748i) q^{8} +(3907.29 + 1205.24i) q^{9} +(110.414 + 1473.37i) q^{10} +(-1098.19 - 4811.47i) q^{11} +(3000.70 - 7645.66i) q^{12} +(-229.122 + 3057.42i) q^{13} +(-8469.94 + 1276.64i) q^{14} +(17398.0 + 16143.0i) q^{15} +(-6879.57 - 3313.03i) q^{16} +(15786.0 - 10762.7i) q^{17} +(7367.40 + 18771.8i) q^{18} +(-21716.1 + 6698.52i) q^{19} +(22769.0 - 21126.6i) q^{20} +(-85787.4 + 107574. i) q^{21} +(15175.3 - 19029.3i) q^{22} +(40228.3 - 37326.5i) q^{23} +(86495.1 - 26680.2i) q^{24} +(4248.28 + 10824.4i) q^{25} +(-12493.4 + 8517.86i) q^{26} +(135753. + 65375.1i) q^{27} +(132000. + 122478. i) q^{28} +(70249.0 - 10588.3i) q^{29} +(-8747.10 + 116722. i) q^{30} +(-105433. + 268638. i) q^{31} +(-40923.5 - 179298. i) q^{32} +(-29217.3 - 389878. i) q^{33} +(90039.8 + 27773.6i) q^{34} +(-468802. + 225763. i) q^{35} +(211966. - 367136. i) q^{36} +(-208870. - 361773. i) q^{37} +(-92603.4 - 63135.9i) q^{38} +(-54048.3 + 236801. i) q^{39} +(338481. + 51017.9i) q^{40} +(-262384. - 329019. i) q^{41} -678575. q^{42} +(373168. + 364094. i) q^{43} -511670. q^{44} +(763777. + 957745. i) q^{45} +(267623. + 40337.7i) q^{46} +(88218.2 - 386509. i) q^{47} +(-499801. - 340759. i) q^{48} +(-1.09650e6 - 1.89919e6i) q^{49} +(-28674.0 + 49664.8i) q^{50} +(1.36369e6 - 656720. i) q^{51} +(303752. + 93695.2i) q^{52} +(50099.2 + 668527. i) q^{53} +(165354. + 724462. i) q^{54} +(540168. - 1.37633e6i) q^{55} +(-148299. + 1.97891e6i) q^{56} +(-1.78024e6 + 268328. i) q^{57} +(256836. + 238309. i) q^{58} +(-1.28765e6 - 620097. i) q^{59} +(2.03308e6 - 1.38613e6i) q^{60} +(-589651. - 1.50241e6i) q^{61} +(-1.36002e6 + 419509. i) q^{62} +(-5.20596e6 + 4.83042e6i) q^{63} +(-43880.9 + 55024.9i) q^{64} +(-572698. + 718141. i) q^{65} +(1.41346e6 - 1.31150e6i) q^{66} +(1.68190e6 - 518798. i) q^{67} +(-723686. - 1.84392e6i) q^{68} +(3.59205e6 - 2.44902e6i) q^{69} +(-2.31203e6 - 1.11341e6i) q^{70} +(1.20488e6 + 1.11796e6i) q^{71} +(4.61978e6 - 696320. i) q^{72} +(-221708. + 2.95849e6i) q^{73} +(752676. - 1.91779e6i) q^{74} +(204986. + 898104. i) q^{75} +(176075. + 2.34956e6i) q^{76} +(8.19075e6 + 2.52651e6i) q^{77} +(-1.07926e6 + 519742. i) q^{78} +(-890684. + 1.54271e6i) q^{79} +(-1.14379e6 - 1.98111e6i) q^{80} +(2.47377e6 + 1.68659e6i) q^{81} +(461831. - 2.02341e6i) q^{82} +(-5.71127e6 - 860835. i) q^{83} +(8.89422e6 + 1.11530e7i) q^{84} +5.72390e6 q^{85} +(-256420. + 2.55843e6i) q^{86} +5.62805e6 q^{87} +(-3.51579e6 - 4.40866e6i) q^{88} +(-683528. - 103025. i) q^{89} +(-1.34435e6 + 5.88997e6i) q^{90} +(-4.39978e6 - 2.99972e6i) q^{91} +(-2.84480e6 - 4.92734e6i) q^{92} +(-1.14310e7 + 1.97992e7i) q^{93} +(1.76157e6 - 848329. i) q^{94} +(-6.50589e6 - 2.00680e6i) q^{95} +(-1.08877e6 - 1.45287e7i) q^{96} +(-1.41228e6 - 6.18762e6i) q^{97} +(3.95129e6 - 1.00677e7i) q^{98} +(1.50804e6 - 2.01234e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.07492 + 3.85582i 0.271787 + 0.340810i 0.898929 0.438095i \(-0.144347\pi\)
−0.627142 + 0.778905i \(0.715775\pi\)
\(3\) 78.3361 + 11.8073i 1.67509 + 0.252479i 0.916772 0.399410i \(-0.130785\pi\)
0.758315 + 0.651889i \(0.226023\pi\)
\(4\) 23.0704 101.078i 0.180238 0.789673i
\(5\) 247.532 + 168.764i 0.885596 + 0.603789i 0.918391 0.395673i \(-0.129489\pi\)
−0.0327955 + 0.999462i \(0.510441\pi\)
\(6\) 195.350 + 338.356i 0.369219 + 0.639506i
\(7\) −868.409 + 1504.13i −0.956932 + 1.65745i −0.227048 + 0.973884i \(0.572907\pi\)
−0.729884 + 0.683571i \(0.760426\pi\)
\(8\) 1029.43 495.748i 0.710858 0.342331i
\(9\) 3907.29 + 1205.24i 1.78660 + 0.551093i
\(10\) 110.414 + 1473.37i 0.0349160 + 0.465922i
\(11\) −1098.19 4811.47i −0.248772 1.08994i −0.932774 0.360462i \(-0.882619\pi\)
0.684002 0.729480i \(-0.260238\pi\)
\(12\) 3000.70 7645.66i 0.501289 1.27726i
\(13\) −229.122 + 3057.42i −0.0289244 + 0.385970i 0.963890 + 0.266302i \(0.0858019\pi\)
−0.992814 + 0.119668i \(0.961817\pi\)
\(14\) −8469.94 + 1276.64i −0.824958 + 0.124342i
\(15\) 17398.0 + 16143.0i 1.33101 + 1.23499i
\(16\) −6879.57 3313.03i −0.419896 0.202211i
\(17\) 15786.0 10762.7i 0.779294 0.531314i −0.107098 0.994248i \(-0.534156\pi\)
0.886392 + 0.462935i \(0.153204\pi\)
\(18\) 7367.40 + 18771.8i 0.297756 + 0.758670i
\(19\) −21716.1 + 6698.52i −0.726346 + 0.224048i −0.635811 0.771845i \(-0.719334\pi\)
−0.0905357 + 0.995893i \(0.528858\pi\)
\(20\) 22769.0 21126.6i 0.636414 0.590506i
\(21\) −85787.4 + 107574.i −2.02142 + 2.53478i
\(22\) 15175.3 19029.3i 0.303850 0.381016i
\(23\) 40228.3 37326.5i 0.689421 0.639690i −0.255568 0.966791i \(-0.582262\pi\)
0.944989 + 0.327102i \(0.106072\pi\)
\(24\) 86495.1 26680.2i 1.27718 0.393958i
\(25\) 4248.28 + 10824.4i 0.0543780 + 0.138553i
\(26\) −12493.4 + 8517.86i −0.139404 + 0.0950438i
\(27\) 135753. + 65375.1i 1.32732 + 0.639204i
\(28\) 132000. + 122478.i 1.13637 + 1.05440i
\(29\) 70249.0 10588.3i 0.534868 0.0806184i 0.123946 0.992289i \(-0.460445\pi\)
0.410922 + 0.911670i \(0.365207\pi\)
\(30\) −8747.10 + 116722.i −0.0591480 + 0.789275i
\(31\) −105433. + 268638.i −0.635636 + 1.61958i 0.141279 + 0.989970i \(0.454879\pi\)
−0.776915 + 0.629605i \(0.783217\pi\)
\(32\) −40923.5 179298.i −0.220774 0.967274i
\(33\) −29217.3 389878.i −0.141528 1.88856i
\(34\) 90039.8 + 27773.6i 0.392879 + 0.121187i
\(35\) −468802. + 225763.i −1.84821 + 0.890050i
\(36\) 211966. 367136.i 0.757195 1.31150i
\(37\) −208870. 361773.i −0.677907 1.17417i −0.975610 0.219511i \(-0.929554\pi\)
0.297703 0.954658i \(-0.403779\pi\)
\(38\) −92603.4 63135.9i −0.273769 0.186653i
\(39\) −54048.3 + 236801.i −0.145900 + 0.639230i
\(40\) 338481. + 51017.9i 0.836228 + 0.126041i
\(41\) −262384. 329019.i −0.594558 0.745552i 0.389961 0.920832i \(-0.372489\pi\)
−0.984519 + 0.175279i \(0.943917\pi\)
\(42\) −678575. −1.41327
\(43\) 373168. + 364094.i 0.715756 + 0.698351i
\(44\) −511670. −0.905536
\(45\) 763777. + 957745.i 1.24946 + 1.56677i
\(46\) 267623. + 40337.7i 0.405388 + 0.0611024i
\(47\) 88218.2 386509.i 0.123941 0.543022i −0.874387 0.485228i \(-0.838736\pi\)
0.998329 0.0577932i \(-0.0184064\pi\)
\(48\) −499801. 340759.i −0.652308 0.444736i
\(49\) −1.09650e6 1.89919e6i −1.33144 2.30612i
\(50\) −28674.0 + 49664.8i −0.0324409 + 0.0561894i
\(51\) 1.36369e6 656720.i 1.43953 0.693241i
\(52\) 303752. + 93695.2i 0.299577 + 0.0924071i
\(53\) 50099.2 + 668527.i 0.0462237 + 0.616813i 0.971427 + 0.237340i \(0.0762755\pi\)
−0.925203 + 0.379473i \(0.876105\pi\)
\(54\) 165354. + 724462.i 0.142901 + 0.626091i
\(55\) 540168. 1.37633e6i 0.437784 1.11545i
\(56\) −148299. + 1.97891e6i −0.112844 + 1.50580i
\(57\) −1.78024e6 + 268328.i −1.27326 + 0.191913i
\(58\) 256836. + 238309.i 0.172846 + 0.160377i
\(59\) −1.28765e6 620097.i −0.816233 0.393077i −0.0212993 0.999773i \(-0.506780\pi\)
−0.794934 + 0.606696i \(0.792495\pi\)
\(60\) 2.03308e6 1.38613e6i 1.21514 0.828467i
\(61\) −589651. 1.50241e6i −0.332614 0.847487i −0.995142 0.0984496i \(-0.968612\pi\)
0.662528 0.749037i \(-0.269484\pi\)
\(62\) −1.36002e6 + 419509.i −0.724725 + 0.223548i
\(63\) −5.20596e6 + 4.83042e6i −2.62306 + 2.43385i
\(64\) −43880.9 + 55024.9i −0.0209240 + 0.0262379i
\(65\) −572698. + 718141.i −0.258660 + 0.324349i
\(66\) 1.41346e6 1.31150e6i 0.605174 0.561519i
\(67\) 1.68190e6 518798.i 0.683186 0.210735i 0.0663141 0.997799i \(-0.478876\pi\)
0.616871 + 0.787064i \(0.288400\pi\)
\(68\) −723686. 1.84392e6i −0.279106 0.711150i
\(69\) 3.59205e6 2.44902e6i 1.31635 0.897471i
\(70\) −2.31203e6 1.11341e6i −0.805656 0.387984i
\(71\) 1.20488e6 + 1.11796e6i 0.399521 + 0.370701i 0.854191 0.519959i \(-0.174053\pi\)
−0.454671 + 0.890660i \(0.650243\pi\)
\(72\) 4.61978e6 696320.i 1.45867 0.219860i
\(73\) −221708. + 2.95849e6i −0.0667039 + 0.890102i 0.859030 + 0.511926i \(0.171068\pi\)
−0.925734 + 0.378176i \(0.876551\pi\)
\(74\) 752676. 1.91779e6i 0.215922 0.550161i
\(75\) 204986. + 898104.i 0.0561062 + 0.245817i
\(76\) 176075. + 2.34956e6i 0.0460098 + 0.613958i
\(77\) 8.19075e6 + 2.52651e6i 2.04459 + 0.630672i
\(78\) −1.07926e6 + 519742.i −0.257510 + 0.124010i
\(79\) −890684. + 1.54271e6i −0.203249 + 0.352038i −0.949574 0.313544i \(-0.898484\pi\)
0.746324 + 0.665583i \(0.231817\pi\)
\(80\) −1.14379e6 1.98111e6i −0.249765 0.432606i
\(81\) 2.47377e6 + 1.68659e6i 0.517204 + 0.352624i
\(82\) 461831. 2.02341e6i 0.0924985 0.405262i
\(83\) −5.71127e6 860835.i −1.09638 0.165252i −0.424145 0.905594i \(-0.639425\pi\)
−0.672230 + 0.740342i \(0.734664\pi\)
\(84\) 8.89422e6 + 1.11530e7i 1.63731 + 2.05312i
\(85\) 5.72390e6 1.01094
\(86\) −256420. + 2.55843e6i −0.0434717 + 0.433739i
\(87\) 5.62805e6 0.916305
\(88\) −3.51579e6 4.40866e6i −0.549963 0.689631i
\(89\) −683528. 103025.i −0.102776 0.0154910i 0.0974529 0.995240i \(-0.468930\pi\)
−0.200229 + 0.979749i \(0.564169\pi\)
\(90\) −1.34435e6 + 5.88997e6i −0.194385 + 0.851657i
\(91\) −4.39978e6 2.99972e6i −0.612049 0.417288i
\(92\) −2.84480e6 4.92734e6i −0.380886 0.659713i
\(93\) −1.14310e7 + 1.97992e7i −1.47365 + 2.55244i
\(94\) 1.76157e6 848329.i 0.218753 0.105346i
\(95\) −6.50589e6 2.00680e6i −0.778527 0.240144i
\(96\) −1.08877e6 1.45287e7i −0.125599 1.67601i
\(97\) −1.41228e6 6.18762e6i −0.157116 0.688371i −0.990710 0.135993i \(-0.956578\pi\)
0.833593 0.552378i \(-0.186280\pi\)
\(98\) 3.95129e6 1.00677e7i 0.424080 1.08054i
\(99\) 1.50804e6 2.01234e7i 0.156203 2.08439i
\(100\) 1.19212e6 179684.i 0.119212 0.0179684i
\(101\) 9.45338e6 + 8.77146e6i 0.912982 + 0.847124i 0.988685 0.150007i \(-0.0479295\pi\)
−0.0757027 + 0.997130i \(0.524120\pi\)
\(102\) 6.72543e6 + 3.23880e6i 0.627509 + 0.302192i
\(103\) −1.16507e7 + 7.94328e6i −1.05056 + 0.716258i −0.960104 0.279642i \(-0.909784\pi\)
−0.0904536 + 0.995901i \(0.528832\pi\)
\(104\) 1.27985e6 + 3.26099e6i 0.111568 + 0.284271i
\(105\) −3.93897e7 + 1.21501e7i −3.32063 + 1.02428i
\(106\) −2.42367e6 + 2.24884e6i −0.197653 + 0.183395i
\(107\) 6.95983e6 8.72735e6i 0.549231 0.688714i −0.427295 0.904112i \(-0.640533\pi\)
0.976526 + 0.215398i \(0.0691049\pi\)
\(108\) 9.73986e6 1.22134e7i 0.743995 0.932940i
\(109\) −1.78656e7 + 1.65769e7i −1.32137 + 1.22605i −0.366012 + 0.930610i \(0.619277\pi\)
−0.955360 + 0.295444i \(0.904533\pi\)
\(110\) 6.96784e6 2.14929e6i 0.499142 0.153965i
\(111\) −1.20905e7 3.08061e7i −0.839100 2.13799i
\(112\) 1.09575e7 7.47070e6i 0.736968 0.502456i
\(113\) 1.86481e6 + 898047.i 0.121580 + 0.0585497i 0.493685 0.869641i \(-0.335650\pi\)
−0.372105 + 0.928191i \(0.621364\pi\)
\(114\) −6.50873e6 6.03921e6i −0.411461 0.381780i
\(115\) 1.62572e7 2.45037e6i 0.996787 0.150241i
\(116\) 550425. 7.34491e6i 0.0327412 0.436901i
\(117\) −4.58017e6 + 1.16701e7i −0.264381 + 0.673633i
\(118\) −1.56842e6 6.87168e6i −0.0878768 0.385013i
\(119\) 2.47980e6 + 3.30906e7i 0.134897 + 1.80008i
\(120\) 2.59129e7 + 7.99308e6i 1.36893 + 0.422260i
\(121\) −4.38691e6 + 2.11263e6i −0.225118 + 0.108411i
\(122\) 3.97988e6 6.89336e6i 0.198432 0.343694i
\(123\) −1.66693e7 2.88721e7i −0.807700 1.39898i
\(124\) 2.47210e7 + 1.68545e7i 1.16437 + 0.793853i
\(125\) 4.43299e6 1.94222e7i 0.203007 0.889432i
\(126\) −3.46331e7 5.22011e6i −1.54239 0.232478i
\(127\) 3.45554e6 + 4.33311e6i 0.149693 + 0.187709i 0.851024 0.525126i \(-0.175982\pi\)
−0.701331 + 0.712836i \(0.747410\pi\)
\(128\) −2.38874e7 −1.00678
\(129\) 2.49336e7 + 3.29278e7i 1.02263 + 1.35051i
\(130\) −4.53002e6 −0.180842
\(131\) 2.17534e7 + 2.72780e7i 0.845432 + 1.06014i 0.997422 + 0.0717557i \(0.0228602\pi\)
−0.151991 + 0.988382i \(0.548568\pi\)
\(132\) −4.00822e7 6.04142e6i −1.51685 0.228629i
\(133\) 8.78300e6 3.84808e7i 0.323714 1.41829i
\(134\) 7.17210e6 + 4.88985e6i 0.257501 + 0.175561i
\(135\) 2.25701e7 + 3.90926e7i 0.789525 + 1.36750i
\(136\) 1.09150e7 1.89054e7i 0.372082 0.644465i
\(137\) −1.06126e7 + 5.11076e6i −0.352614 + 0.169810i −0.601802 0.798645i \(-0.705550\pi\)
0.249188 + 0.968455i \(0.419836\pi\)
\(138\) 2.04883e7 + 6.31979e6i 0.663633 + 0.204704i
\(139\) 524727. + 7.00200e6i 0.0165723 + 0.221142i 0.999341 + 0.0363015i \(0.0115577\pi\)
−0.982769 + 0.184840i \(0.940823\pi\)
\(140\) 1.20042e7 + 5.25940e7i 0.369732 + 1.61990i
\(141\) 1.14743e7 2.92360e7i 0.344714 0.878316i
\(142\) −605770. + 8.08344e6i −0.0177541 + 0.236912i
\(143\) 1.49623e7 2.25521e6i 0.427881 0.0644926i
\(144\) −2.28875e7 2.12365e7i −0.638748 0.592672i
\(145\) 1.91758e7 + 9.23456e6i 0.522354 + 0.251552i
\(146\) −1.20891e7 + 8.24223e6i −0.321485 + 0.219184i
\(147\) −6.34710e7 1.61721e8i −1.64803 4.19911i
\(148\) −4.13861e7 + 1.27659e7i −1.04939 + 0.323695i
\(149\) 4.65883e6 4.32276e6i 0.115378 0.107056i −0.620374 0.784306i \(-0.713019\pi\)
0.735752 + 0.677251i \(0.236829\pi\)
\(150\) −2.83261e6 + 3.55199e6i −0.0685280 + 0.0859314i
\(151\) −1.12077e6 + 1.40540e6i −0.0264910 + 0.0332186i −0.794901 0.606740i \(-0.792477\pi\)
0.768410 + 0.639958i \(0.221048\pi\)
\(152\) −1.90344e7 + 1.76614e7i −0.439630 + 0.407917i
\(153\) 7.46522e7 2.30271e7i 1.68509 0.519781i
\(154\) 1.54441e7 + 3.93509e7i 0.340753 + 0.868224i
\(155\) −7.14343e7 + 4.87031e7i −1.54080 + 1.05050i
\(156\) 2.26885e7 + 1.09262e7i 0.478486 + 0.230427i
\(157\) 2.55138e7 + 2.36733e7i 0.526170 + 0.488215i 0.897945 0.440109i \(-0.145060\pi\)
−0.371774 + 0.928323i \(0.621251\pi\)
\(158\) −8.68720e6 + 1.30938e6i −0.175218 + 0.0264099i
\(159\) −3.96890e6 + 5.29613e7i −0.0783033 + 1.04489i
\(160\) 2.01291e7 5.12882e7i 0.388513 0.989915i
\(161\) 2.12091e7 + 9.29232e7i 0.400527 + 1.75482i
\(162\) 1.10345e6 + 1.47245e7i 0.0203916 + 0.272106i
\(163\) 1.13749e7 + 3.50868e6i 0.205726 + 0.0634582i 0.395906 0.918291i \(-0.370431\pi\)
−0.190179 + 0.981749i \(0.560907\pi\)
\(164\) −3.93100e7 + 1.89307e7i −0.695904 + 0.335130i
\(165\) 5.85653e7 1.01438e8i 1.01495 1.75795i
\(166\) −1.42424e7 2.46686e7i −0.241661 0.418569i
\(167\) 9.86131e7 + 6.72333e7i 1.63843 + 1.11706i 0.892517 + 0.451014i \(0.148938\pi\)
0.745910 + 0.666047i \(0.232015\pi\)
\(168\) −3.49826e7 + 1.53269e8i −0.569207 + 2.49386i
\(169\) 5.27523e7 + 7.95114e6i 0.840695 + 0.126714i
\(170\) 1.76005e7 + 2.20703e7i 0.274760 + 0.344539i
\(171\) −9.29243e7 −1.42116
\(172\) 4.54110e7 2.93193e7i 0.680475 0.439344i
\(173\) 1.24190e8 1.82359 0.911794 0.410648i \(-0.134697\pi\)
0.911794 + 0.410648i \(0.134697\pi\)
\(174\) 1.73058e7 + 2.17007e7i 0.249040 + 0.312286i
\(175\) −1.99706e7 3.01008e6i −0.281681 0.0424566i
\(176\) −8.38548e6 + 3.67392e7i −0.115940 + 0.507967i
\(177\) −9.35474e7 6.37796e7i −1.26802 0.864520i
\(178\) −1.70454e6 2.95236e6i −0.0226536 0.0392373i
\(179\) 4.18630e7 7.25089e7i 0.545563 0.944943i −0.453008 0.891506i \(-0.649649\pi\)
0.998571 0.0534368i \(-0.0170176\pi\)
\(180\) 1.14428e8 5.51055e7i 1.46244 0.704273i
\(181\) −2.01727e7 6.22245e6i −0.252865 0.0779986i 0.165731 0.986171i \(-0.447002\pi\)
−0.418596 + 0.908172i \(0.637478\pi\)
\(182\) −1.96257e6 2.61887e7i −0.0241310 0.322006i
\(183\) −2.84516e7 1.24655e8i −0.343185 1.50359i
\(184\) 2.29078e7 5.83682e7i 0.271095 0.690739i
\(185\) 9.35248e6 1.24800e8i 0.108599 1.44915i
\(186\) −1.11492e8 + 1.68046e7i −1.27042 + 0.191485i
\(187\) −6.91205e7 6.41345e7i −0.772968 0.717209i
\(188\) −3.70324e7 1.78338e7i −0.406471 0.195746i
\(189\) −2.16221e8 + 1.47417e8i −2.32961 + 1.58830i
\(190\) −1.22672e7 3.12563e7i −0.129750 0.330598i
\(191\) 6.59920e7 2.03559e7i 0.685291 0.211384i 0.0674912 0.997720i \(-0.478501\pi\)
0.617799 + 0.786336i \(0.288024\pi\)
\(192\) −4.08715e6 + 3.79232e6i −0.0416741 + 0.0386679i
\(193\) −6.24735e7 + 7.83392e7i −0.625525 + 0.784384i −0.989110 0.147177i \(-0.952981\pi\)
0.363585 + 0.931561i \(0.381553\pi\)
\(194\) 1.95157e7 2.44719e7i 0.191902 0.240637i
\(195\) −5.33422e7 + 4.94943e7i −0.515169 + 0.478007i
\(196\) −2.17263e8 + 6.70167e7i −2.06105 + 0.635751i
\(197\) −1.23368e7 3.14337e7i −0.114967 0.292930i 0.861796 0.507256i \(-0.169340\pi\)
−0.976762 + 0.214325i \(0.931245\pi\)
\(198\) 8.22293e7 5.60630e7i 0.752833 0.513273i
\(199\) −6.53658e6 3.14785e6i −0.0587983 0.0283158i 0.404254 0.914647i \(-0.367531\pi\)
−0.463052 + 0.886331i \(0.653246\pi\)
\(200\) 9.73951e6 + 9.03694e6i 0.0860859 + 0.0798760i
\(201\) 1.37879e8 2.07819e7i 1.19760 0.180509i
\(202\) −4.75283e6 + 6.34220e7i −0.0405716 + 0.541390i
\(203\) −4.50786e7 + 1.14858e8i −0.378211 + 0.963666i
\(204\) −3.49190e7 1.52990e8i −0.287976 1.26171i
\(205\) −9.42169e6 1.25724e8i −0.0763819 1.01925i
\(206\) −6.64527e7 2.04979e7i −0.529635 0.163371i
\(207\) 2.02171e8 9.73605e7i 1.58425 0.762933i
\(208\) 1.17056e7 2.02747e7i 0.0901927 0.156218i
\(209\) 5.60781e7 + 9.71301e7i 0.424894 + 0.735939i
\(210\) −1.67969e8 1.14519e8i −1.25159 0.853317i
\(211\) −3.09042e7 + 1.35400e8i −0.226479 + 0.992271i 0.726007 + 0.687688i \(0.241374\pi\)
−0.952486 + 0.304583i \(0.901483\pi\)
\(212\) 6.87292e7 + 1.03593e7i 0.495411 + 0.0746712i
\(213\) 8.11854e7 + 1.01803e8i 0.575638 + 0.721827i
\(214\) 5.50520e7 0.383994
\(215\) 3.09249e7 + 1.53102e8i 0.212214 + 1.05062i
\(216\) 1.72158e8 1.16235
\(217\) −3.12507e8 3.91871e8i −2.07611 2.60336i
\(218\) −1.18853e8 1.79142e7i −0.776983 0.117111i
\(219\) −5.22994e7 + 2.29138e8i −0.336467 + 1.47416i
\(220\) −1.26655e8 8.63516e7i −0.801939 0.546753i
\(221\) 2.92892e7 + 5.07304e7i 0.182530 + 0.316152i
\(222\) 8.16055e7 1.41345e8i 0.500592 0.867051i
\(223\) −2.81364e7 + 1.35498e7i −0.169903 + 0.0818210i −0.516902 0.856044i \(-0.672915\pi\)
0.346999 + 0.937865i \(0.387201\pi\)
\(224\) 3.05225e8 + 9.41494e7i 1.81448 + 0.559692i
\(225\) 3.55322e6 + 4.74144e7i 0.0207962 + 0.277505i
\(226\) 2.27144e6 + 9.95181e6i 0.0130894 + 0.0573486i
\(227\) −3.02251e7 + 7.70122e7i −0.171505 + 0.436987i −0.990621 0.136641i \(-0.956369\pi\)
0.819116 + 0.573628i \(0.194465\pi\)
\(228\) −1.39488e7 + 1.86134e8i −0.0779409 + 1.04005i
\(229\) −1.47021e8 + 2.21598e7i −0.809011 + 0.121939i −0.540507 0.841340i \(-0.681767\pi\)
−0.268504 + 0.963279i \(0.586529\pi\)
\(230\) 5.94376e7 + 5.51500e7i 0.322117 + 0.298881i
\(231\) 6.11800e8 + 2.94627e8i 3.26563 + 1.57265i
\(232\) 6.70674e7 4.57258e7i 0.352617 0.240410i
\(233\) −4.28244e7 1.09115e8i −0.221792 0.565116i 0.776058 0.630662i \(-0.217216\pi\)
−0.997850 + 0.0655456i \(0.979121\pi\)
\(234\) −5.90814e7 + 1.82242e7i −0.301436 + 0.0929807i
\(235\) 8.70657e7 8.07851e7i 0.437632 0.406063i
\(236\) −9.23848e7 + 1.15847e8i −0.457518 + 0.573710i
\(237\) −8.79879e7 + 1.10333e8i −0.429342 + 0.538378i
\(238\) −1.19966e8 + 1.11313e8i −0.576820 + 0.535211i
\(239\) −9.52853e7 + 2.93916e7i −0.451475 + 0.139262i −0.512150 0.858896i \(-0.671151\pi\)
0.0606752 + 0.998158i \(0.480675\pi\)
\(240\) −6.62087e7 1.68697e8i −0.309155 0.787713i
\(241\) 2.27110e8 1.54841e8i 1.04515 0.712568i 0.0862343 0.996275i \(-0.472517\pi\)
0.958911 + 0.283707i \(0.0915643\pi\)
\(242\) −2.16353e7 1.04190e7i −0.0981316 0.0472577i
\(243\) −6.76872e7 6.28045e7i −0.302611 0.280782i
\(244\) −1.65464e8 + 2.49397e7i −0.729187 + 0.109907i
\(245\) 4.90973e7 6.55158e8i 0.213293 2.84620i
\(246\) 6.00690e7 1.53053e8i 0.257263 0.655496i
\(247\) −1.55046e7 6.79299e7i −0.0654667 0.286828i
\(248\) 2.46411e7 + 3.28812e8i 0.102584 + 1.36889i
\(249\) −4.37234e8 1.34869e8i −1.79480 0.553623i
\(250\) 8.85195e7 4.26288e7i 0.358302 0.172549i
\(251\) −5.34272e7 + 9.25386e7i −0.213257 + 0.369373i −0.952732 0.303812i \(-0.901741\pi\)
0.739475 + 0.673184i \(0.235074\pi\)
\(252\) 3.68146e8 + 6.37648e8i 1.44917 + 2.51003i
\(253\) −2.23773e8 1.52566e8i −0.868734 0.592293i
\(254\) −6.08220e6 + 2.66479e7i −0.0232886 + 0.102034i
\(255\) 4.48388e8 + 6.75836e7i 1.69341 + 0.255241i
\(256\) −6.78349e7 8.50623e7i −0.252705 0.316882i
\(257\) 1.68186e7 0.0618050 0.0309025 0.999522i \(-0.490162\pi\)
0.0309025 + 0.999522i \(0.490162\pi\)
\(258\) −5.02949e7 + 1.97390e8i −0.182329 + 0.715575i
\(259\) 7.25538e8 2.59484
\(260\) 5.93759e7 + 7.44550e7i 0.209509 + 0.262716i
\(261\) 2.87245e8 + 4.32951e7i 1.00002 + 0.150729i
\(262\) −3.82889e7 + 1.67755e8i −0.131528 + 0.576263i
\(263\) −1.39425e8 9.50583e7i −0.472602 0.322214i 0.303490 0.952835i \(-0.401848\pi\)
−0.776091 + 0.630620i \(0.782801\pi\)
\(264\) −2.23359e8 3.86869e8i −0.747118 1.29405i
\(265\) −1.00422e8 + 1.73936e8i −0.331489 + 0.574156i
\(266\) 1.75382e8 8.44596e7i 0.571347 0.275146i
\(267\) −5.23284e7 1.61412e7i −0.168247 0.0518974i
\(268\) −1.36369e7 1.81972e8i −0.0432758 0.577475i
\(269\) 1.18717e8 + 5.20135e8i 0.371861 + 1.62923i 0.721548 + 0.692364i \(0.243431\pi\)
−0.349687 + 0.936867i \(0.613712\pi\)
\(270\) −8.13329e7 + 2.07233e8i −0.251474 + 0.640746i
\(271\) 8.90059e6 1.18770e8i 0.0271660 0.362505i −0.967010 0.254738i \(-0.918011\pi\)
0.994176 0.107767i \(-0.0343702\pi\)
\(272\) −1.44258e8 + 2.17434e7i −0.434660 + 0.0655144i
\(273\) −3.09243e8 2.86936e8i −0.919879 0.853523i
\(274\) −5.23390e7 2.52051e7i −0.153709 0.0740222i
\(275\) 4.74161e7 3.23277e7i 0.137487 0.0937369i
\(276\) −1.64672e8 4.19578e8i −0.471453 1.20124i
\(277\) 5.70359e8 1.75932e8i 1.61239 0.497355i 0.647953 0.761680i \(-0.275625\pi\)
0.964434 + 0.264325i \(0.0851491\pi\)
\(278\) −2.53850e7 + 2.35538e7i −0.0708631 + 0.0657513i
\(279\) −7.35728e8 + 9.22574e8i −2.02816 + 2.54324i
\(280\) −3.70678e8 + 4.64815e8i −1.00912 + 1.26540i
\(281\) −2.11931e8 + 1.96644e8i −0.569801 + 0.528698i −0.911602 0.411074i \(-0.865154\pi\)
0.341801 + 0.939772i \(0.388963\pi\)
\(282\) 1.48011e8 4.56554e7i 0.393027 0.121233i
\(283\) 2.14581e8 + 5.46743e8i 0.562780 + 1.43394i 0.875090 + 0.483960i \(0.160802\pi\)
−0.312310 + 0.949980i \(0.601103\pi\)
\(284\) 1.40799e8 9.59950e7i 0.364741 0.248676i
\(285\) −4.85951e8 2.34022e8i −1.24347 0.598823i
\(286\) 5.47035e7 + 5.07574e7i 0.138272 + 0.128298i
\(287\) 7.22744e8 1.08936e8i 1.80467 0.272010i
\(288\) 5.61965e7 7.49890e8i 0.138623 1.84980i
\(289\) −1.65515e7 + 4.21726e7i −0.0403362 + 0.102775i
\(290\) 2.33570e7 + 1.02334e8i 0.0562373 + 0.246392i
\(291\) −3.75739e7 5.01389e8i −0.0893843 1.19275i
\(292\) 2.93923e8 + 9.06633e7i 0.690866 + 0.213104i
\(293\) −4.89477e8 + 2.35720e8i −1.13683 + 0.547469i −0.905053 0.425300i \(-0.860169\pi\)
−0.231778 + 0.972769i \(0.574454\pi\)
\(294\) 4.28401e8 7.42013e8i 0.983185 1.70293i
\(295\) −2.14083e8 3.70802e8i −0.485517 0.840940i
\(296\) −3.94366e8 2.68874e8i −0.883850 0.602598i
\(297\) 1.65468e8 7.24965e8i 0.366495 1.60572i
\(298\) 3.09933e7 + 4.67149e6i 0.0678439 + 0.0102258i
\(299\) 1.04905e8 + 1.31547e8i 0.226960 + 0.284599i
\(300\) 9.55078e7 0.204228
\(301\) −8.71706e8 + 2.45111e8i −1.84241 + 0.518059i
\(302\) −8.86527e6 −0.0185211
\(303\) 6.36974e8 + 7.98740e8i 1.31544 + 1.64951i
\(304\) 1.71590e8 + 2.58630e7i 0.350295 + 0.0527985i
\(305\) 1.07595e8 4.71405e8i 0.217142 0.951360i
\(306\) 3.18338e8 + 2.17039e8i 0.635131 + 0.433025i
\(307\) 3.55210e8 + 6.15241e8i 0.700649 + 1.21356i 0.968239 + 0.250027i \(0.0804393\pi\)
−0.267590 + 0.963533i \(0.586227\pi\)
\(308\) 4.44339e8 7.69617e8i 0.866536 1.50088i
\(309\) −1.00645e9 + 4.84683e8i −1.94062 + 0.934551i
\(310\) −4.07445e8 1.25680e8i −0.776789 0.239608i
\(311\) −3.33786e7 4.45407e8i −0.0629227 0.839645i −0.935986 0.352038i \(-0.885489\pi\)
0.873063 0.487607i \(-0.162130\pi\)
\(312\) 6.17546e7 + 2.70565e8i 0.115114 + 0.504348i
\(313\) 3.15954e8 8.05037e8i 0.582396 1.48392i −0.270960 0.962591i \(-0.587341\pi\)
0.853355 0.521330i \(-0.174564\pi\)
\(314\) −1.28274e7 + 1.71170e8i −0.0233822 + 0.312014i
\(315\) −2.10384e9 + 3.17103e8i −3.79251 + 0.571628i
\(316\) 1.35386e8 + 1.25620e8i 0.241362 + 0.223951i
\(317\) −7.15503e8 3.44568e8i −1.26155 0.607530i −0.320965 0.947091i \(-0.604007\pi\)
−0.940584 + 0.339561i \(0.889721\pi\)
\(318\) −2.16413e8 + 1.47548e8i −0.377389 + 0.257299i
\(319\) −1.28092e8 3.26373e8i −0.220930 0.562920i
\(320\) −2.01481e7 + 6.21488e6i −0.0343724 + 0.0106025i
\(321\) 6.48252e8 6.01490e8i 1.09390 1.01499i
\(322\) −2.93079e8 + 3.67510e8i −0.489203 + 0.613442i
\(323\) −2.70716e8 + 3.39467e8i −0.446997 + 0.560517i
\(324\) 2.27548e8 2.11134e8i 0.371677 0.344866i
\(325\) −3.40682e7 + 1.05087e7i −0.0550500 + 0.0169807i
\(326\) 2.14479e7 + 5.46484e7i 0.0342865 + 0.0873606i
\(327\) −1.59525e9 + 1.08762e9i −2.52297 + 1.72013i
\(328\) −4.33218e8 2.08627e8i −0.677872 0.326446i
\(329\) 5.04750e8 + 4.68339e8i 0.781431 + 0.725062i
\(330\) 5.71211e8 8.60961e7i 0.874979 0.131882i
\(331\) 2.10926e7 2.81462e8i 0.0319693 0.426600i −0.958140 0.286301i \(-0.907574\pi\)
0.990109 0.140300i \(-0.0448066\pi\)
\(332\) −2.18773e8 + 5.57425e8i −0.328103 + 0.835993i
\(333\) −3.80092e8 1.66529e9i −0.564071 2.47136i
\(334\) 4.39874e7 + 5.86971e8i 0.0645975 + 0.861994i
\(335\) 5.03878e8 + 1.55426e8i 0.732266 + 0.225874i
\(336\) 9.46576e8 4.55847e8i 1.36134 0.655589i
\(337\) 5.62850e7 9.74884e7i 0.0801102 0.138755i −0.823187 0.567770i \(-0.807806\pi\)
0.903297 + 0.429016i \(0.141139\pi\)
\(338\) 1.31551e8 + 2.27853e8i 0.185304 + 0.320956i
\(339\) 1.35479e8 + 9.23679e7i 0.188874 + 0.128772i
\(340\) 1.32053e8 5.78561e8i 0.182210 0.798312i
\(341\) 1.40833e9 + 2.12271e8i 1.92337 + 0.289902i
\(342\) −2.85735e8 3.58300e8i −0.386253 0.484345i
\(343\) 2.37848e9 3.18252
\(344\) 5.64650e8 + 1.89812e8i 0.747868 + 0.251402i
\(345\) 1.30245e9 1.70764
\(346\) 3.81875e8 + 4.78856e8i 0.495627 + 0.621497i
\(347\) −1.22120e9 1.84066e8i −1.56903 0.236494i −0.693791 0.720176i \(-0.744061\pi\)
−0.875244 + 0.483682i \(0.839299\pi\)
\(348\) 1.29841e8 5.68872e8i 0.165153 0.723581i
\(349\) 2.71365e6 + 1.85014e6i 0.00341716 + 0.00232978i 0.565027 0.825072i \(-0.308866\pi\)
−0.561610 + 0.827402i \(0.689818\pi\)
\(350\) −4.98015e7 8.62588e7i −0.0620875 0.107539i
\(351\) −2.30983e8 + 4.00074e8i −0.285105 + 0.493817i
\(352\) −8.17743e8 + 3.93804e8i −0.999350 + 0.481262i
\(353\) 3.43684e8 + 1.06013e8i 0.415861 + 0.128276i 0.495623 0.868538i \(-0.334940\pi\)
−0.0797620 + 0.996814i \(0.525416\pi\)
\(354\) −4.17278e7 5.56819e8i −0.0499936 0.667118i
\(355\) 1.09573e8 + 4.80072e8i 0.129989 + 0.569517i
\(356\) −2.61829e7 + 6.67129e7i −0.0307569 + 0.0783672i
\(357\) −1.96452e8 + 2.62147e9i −0.228517 + 3.04934i
\(358\) 4.08307e8 6.15423e7i 0.470323 0.0708898i
\(359\) 7.83866e7 + 7.27321e7i 0.0894152 + 0.0829651i 0.723614 0.690205i \(-0.242480\pi\)
−0.634199 + 0.773170i \(0.718670\pi\)
\(360\) 1.26106e9 + 6.07293e8i 1.42454 + 0.686024i
\(361\) −3.11834e8 + 2.12605e8i −0.348857 + 0.237847i
\(362\) −3.80367e7 9.69159e7i −0.0421427 0.107378i
\(363\) −3.68598e8 + 1.13697e8i −0.404464 + 0.124761i
\(364\) −4.04711e8 + 3.75517e8i −0.439835 + 0.408107i
\(365\) −5.54166e8 + 6.94903e8i −0.596506 + 0.747995i
\(366\) 3.93160e8 4.93007e8i 0.419166 0.525617i
\(367\) −2.70969e7 + 2.51422e7i −0.0286146 + 0.0265505i −0.694350 0.719637i \(-0.744308\pi\)
0.665736 + 0.746187i \(0.268118\pi\)
\(368\) −4.00418e8 + 1.23512e8i −0.418838 + 0.129194i
\(369\) −6.28664e8 1.60181e9i −0.651368 1.65966i
\(370\) 5.09965e8 3.47688e8i 0.523401 0.356849i
\(371\) −1.04906e9 5.05199e8i −1.06657 0.513634i
\(372\) 1.73754e9 + 1.61220e9i 1.74999 + 1.62375i
\(373\) −5.17736e8 + 7.80361e7i −0.516568 + 0.0778601i −0.402152 0.915573i \(-0.631738\pi\)
−0.114416 + 0.993433i \(0.536500\pi\)
\(374\) 3.47514e7 4.63725e8i 0.0343496 0.458363i
\(375\) 5.76585e8 1.46912e9i 0.564617 1.43862i
\(376\) −1.00797e8 4.41619e8i −0.0977886 0.428440i
\(377\) 1.62774e7 + 2.17207e8i 0.0156455 + 0.208775i
\(378\) −1.23328e9 3.80416e8i −1.17446 0.362274i
\(379\) 2.93315e8 1.41253e8i 0.276756 0.133278i −0.290358 0.956918i \(-0.593774\pi\)
0.567113 + 0.823640i \(0.308060\pi\)
\(380\) −3.52937e8 + 6.11305e8i −0.329955 + 0.571499i
\(381\) 2.19531e8 + 3.80239e8i 0.203357 + 0.352224i
\(382\) 2.81409e8 + 1.91861e8i 0.258295 + 0.176102i
\(383\) −1.88989e8 + 8.28015e8i −0.171886 + 0.753082i 0.813335 + 0.581796i \(0.197650\pi\)
−0.985221 + 0.171287i \(0.945208\pi\)
\(384\) −1.87124e9 2.82045e8i −1.68644 0.254190i
\(385\) 1.60108e9 + 2.00770e9i 1.42989 + 1.79302i
\(386\) −4.94163e8 −0.437335
\(387\) 1.01926e9 + 1.87238e9i 0.893912 + 1.64212i
\(388\) −6.58015e8 −0.571906
\(389\) −1.24928e9 1.56655e9i −1.07606 1.34934i −0.933102 0.359611i \(-0.882909\pi\)
−0.142960 0.989728i \(-0.545662\pi\)
\(390\) −3.54864e8 5.34871e7i −0.302925 0.0456587i
\(391\) 2.33311e8 1.02220e9i 0.197386 0.864805i
\(392\) −2.07029e9 1.41150e9i −1.73592 1.18353i
\(393\) 1.38200e9 + 2.39370e9i 1.14851 + 1.98928i
\(394\) 8.32682e7 1.44225e8i 0.0685871 0.118796i
\(395\) −4.80827e8 + 2.31554e8i −0.392553 + 0.189044i
\(396\) −1.99924e9 6.16685e8i −1.61783 0.499034i
\(397\) −1.56397e8 2.08697e9i −0.125447 1.67398i −0.604816 0.796365i \(-0.706753\pi\)
0.479369 0.877614i \(-0.340866\pi\)
\(398\) −7.96188e6 3.48833e7i −0.00633031 0.0277349i
\(399\) 1.14238e9 2.91073e9i 0.900336 2.29402i
\(400\) 6.63532e6 8.85422e7i 0.00518384 0.0691736i
\(401\) 1.59541e9 2.40469e8i 1.23557 0.186232i 0.501409 0.865211i \(-0.332815\pi\)
0.734158 + 0.678979i \(0.237577\pi\)
\(402\) 5.04098e8 + 4.67735e8i 0.387011 + 0.359094i
\(403\) −7.97182e8 3.83902e8i −0.606722 0.292182i
\(404\) 1.10470e9 7.53169e8i 0.833504 0.568274i
\(405\) 3.27701e8 + 8.34967e8i 0.245123 + 0.624564i
\(406\) −5.81487e8 + 1.79365e8i −0.431220 + 0.133014i
\(407\) −1.51128e9 + 1.40227e9i −1.11113 + 1.03098i
\(408\) 1.07826e9 1.35210e9i 0.785983 0.985592i
\(409\) −9.59959e7 + 1.20375e8i −0.0693779 + 0.0869972i −0.815309 0.579025i \(-0.803433\pi\)
0.745932 + 0.666023i \(0.232005\pi\)
\(410\) 4.55798e8 4.22918e8i 0.326609 0.303049i
\(411\) −8.91693e8 + 2.75051e8i −0.633533 + 0.195419i
\(412\) 5.34106e8 + 1.36088e9i 0.376259 + 0.958694i
\(413\) 2.05091e9 1.39829e9i 1.43259 0.976722i
\(414\) 9.97064e8 + 4.80161e8i 0.690592 + 0.332572i
\(415\) −1.26844e9 1.17694e9i −0.871168 0.808326i
\(416\) 5.57564e8 8.40393e7i 0.379724 0.0572342i
\(417\) −4.15694e7 + 5.54705e8i −0.0280735 + 0.374615i
\(418\) −2.02081e8 + 5.14894e8i −0.135334 + 0.344827i
\(419\) −1.48610e8 6.51104e8i −0.0986961 0.432416i 0.901304 0.433188i \(-0.142611\pi\)
−1.00000 0.000772134i \(0.999754\pi\)
\(420\) 3.19374e8 + 4.26175e9i 0.210342 + 2.80682i
\(421\) −5.88535e8 1.81539e8i −0.384402 0.118572i 0.0965305 0.995330i \(-0.469225\pi\)
−0.480932 + 0.876758i \(0.659702\pi\)
\(422\) −6.17106e8 + 2.97183e8i −0.399730 + 0.192500i
\(423\) 8.10530e8 1.40388e9i 0.520688 0.901858i
\(424\) 3.82995e8 + 6.63366e8i 0.244013 + 0.422642i
\(425\) 1.83564e8 + 1.25152e8i 0.115991 + 0.0790816i
\(426\) −1.42897e8 + 6.26073e8i −0.0895549 + 0.392366i
\(427\) 2.77187e9 + 4.17792e8i 1.72296 + 0.259694i
\(428\) −7.21578e8 9.04830e8i −0.444867 0.557845i
\(429\) 1.19872e9 0.733020
\(430\) −4.95243e8 + 5.90017e8i −0.300385 + 0.357870i
\(431\) −9.70204e8 −0.583704 −0.291852 0.956464i \(-0.594271\pi\)
−0.291852 + 0.956464i \(0.594271\pi\)
\(432\) −7.17332e8 8.99506e8i −0.428082 0.536798i
\(433\) −2.12832e9 3.20792e8i −1.25988 0.189896i −0.515054 0.857158i \(-0.672228\pi\)
−0.744824 + 0.667261i \(0.767466\pi\)
\(434\) 5.50054e8 2.40994e9i 0.322992 1.41512i
\(435\) 1.39312e9 + 9.49813e8i 0.811476 + 0.553255i
\(436\) 1.26339e9 + 2.18826e9i 0.730020 + 1.26443i
\(437\) −6.23570e8 + 1.08005e9i −0.357437 + 0.619100i
\(438\) −1.04433e9 + 5.02924e8i −0.593854 + 0.285985i
\(439\) 2.16829e9 + 6.68828e8i 1.22318 + 0.377302i 0.838067 0.545567i \(-0.183686\pi\)
0.385115 + 0.922869i \(0.374162\pi\)
\(440\) −1.26245e8 1.68462e9i −0.0706528 0.942796i
\(441\) −1.99535e9 8.74221e9i −1.10786 4.85385i
\(442\) −1.05546e8 + 2.68926e8i −0.0581383 + 0.148134i
\(443\) −7.06593e7 + 9.42883e8i −0.0386150 + 0.515282i 0.944039 + 0.329834i \(0.106993\pi\)
−0.982654 + 0.185448i \(0.940626\pi\)
\(444\) −3.39275e9 + 5.11375e8i −1.83955 + 0.277268i
\(445\) −1.51808e8 1.40857e8i −0.0816646 0.0757737i
\(446\) −1.38763e8 6.68245e7i −0.0740628 0.0356668i
\(447\) 4.15994e8 2.83620e8i 0.220298 0.150197i
\(448\) −4.46580e7 1.13787e8i −0.0234653 0.0597886i
\(449\) −1.33787e9 + 4.12679e8i −0.697513 + 0.215154i −0.623179 0.782079i \(-0.714159\pi\)
−0.0743337 + 0.997233i \(0.523683\pi\)
\(450\) −1.71896e8 + 1.59496e8i −0.0889244 + 0.0825098i
\(451\) −1.29492e9 + 1.62378e9i −0.664699 + 0.833507i
\(452\) 1.33795e8 1.67774e8i 0.0681483 0.0854553i
\(453\) −1.04391e8 + 9.68606e7i −0.0527617 + 0.0489557i
\(454\) −3.89885e8 + 1.20264e8i −0.195542 + 0.0603168i
\(455\) −5.82839e8 1.48505e9i −0.290074 0.739097i
\(456\) −1.69962e9 + 1.15878e9i −0.839409 + 0.572300i
\(457\) −1.04242e9 5.02004e8i −0.510901 0.246037i 0.160628 0.987015i \(-0.448648\pi\)
−0.671529 + 0.740978i \(0.734362\pi\)
\(458\) −5.37521e8 4.98746e8i −0.261436 0.242577i
\(459\) 2.84661e9 4.29057e8i 1.37399 0.207096i
\(460\) 1.27380e8 1.69977e9i 0.0610169 0.814214i
\(461\) 1.09573e9 2.79187e9i 0.520893 1.32721i −0.392356 0.919813i \(-0.628340\pi\)
0.913249 0.407401i \(-0.133565\pi\)
\(462\) 7.45202e8 + 3.26494e9i 0.351583 + 1.54038i
\(463\) −2.49824e7 3.33367e8i −0.0116977 0.156095i −0.999994 0.00354661i \(-0.998871\pi\)
0.988296 0.152548i \(-0.0487480\pi\)
\(464\) −5.18362e8 1.59894e8i −0.240891 0.0743050i
\(465\) −6.17093e9 + 2.97177e9i −2.84620 + 1.37066i
\(466\) 2.89046e8 5.00642e8i 0.132317 0.229180i
\(467\) −1.07749e9 1.86626e9i −0.489556 0.847936i 0.510372 0.859954i \(-0.329508\pi\)
−0.999928 + 0.0120180i \(0.996174\pi\)
\(468\) 1.07392e9 + 7.32188e8i 0.484298 + 0.330189i
\(469\) −6.80239e8 + 2.98032e9i −0.304479 + 1.33401i
\(470\) 5.79213e8 + 8.73023e7i 0.257333 + 0.0387867i
\(471\) 1.71913e9 + 2.15572e9i 0.758117 + 0.950649i
\(472\) −1.63296e9 −0.714788
\(473\) 1.34202e9 2.19533e9i 0.583102 0.953863i
\(474\) −6.95981e8 −0.300174
\(475\) −1.64764e8 2.06607e8i −0.0705397 0.0884540i
\(476\) 3.40195e9 + 5.12761e8i 1.44578 + 0.217917i
\(477\) −6.09983e8 + 2.67251e9i −0.257338 + 1.12747i
\(478\) −4.06323e8 2.77027e8i −0.170167 0.116018i
\(479\) −1.39213e7 2.41125e7i −0.00578771 0.0100246i 0.863117 0.505004i \(-0.168509\pi\)
−0.868905 + 0.494979i \(0.835176\pi\)
\(480\) 2.18241e9 3.78005e9i 0.900725 1.56010i
\(481\) 1.15395e9 5.55713e8i 0.472802 0.227689i
\(482\) 1.29538e9 + 3.99573e8i 0.526907 + 0.162529i
\(483\) 5.64270e8 + 7.52966e9i 0.227862 + 3.04061i
\(484\) 1.12332e8 + 4.92160e8i 0.0450346 + 0.197309i
\(485\) 6.94664e8 1.76998e9i 0.276490 0.704484i
\(486\) 3.40307e7 4.54109e8i 0.0134476 0.179446i
\(487\) 1.39011e9 2.09525e8i 0.545377 0.0822024i 0.129426 0.991589i \(-0.458687\pi\)
0.415952 + 0.909387i \(0.363449\pi\)
\(488\) −1.35182e9 1.25431e9i −0.526562 0.488578i
\(489\) 8.49634e8 + 4.09162e8i 0.328588 + 0.158239i
\(490\) 2.67714e9 1.82525e9i 1.02798 0.700866i
\(491\) −1.38402e9 3.52642e9i −0.527663 1.34446i −0.907750 0.419512i \(-0.862201\pi\)
0.380087 0.924951i \(-0.375894\pi\)
\(492\) −3.30291e9 + 1.01881e9i −1.25031 + 0.385670i
\(493\) 9.94992e8 9.23217e8i 0.373986 0.347008i
\(494\) 2.14251e8 2.68662e8i 0.0799609 0.100268i
\(495\) 3.76940e9 4.72667e9i 1.39686 1.75161i
\(496\) 1.61534e9 1.49881e9i 0.594397 0.551520i
\(497\) −2.72789e9 + 8.41442e8i −0.996734 + 0.307452i
\(498\) −8.24428e8 2.10061e9i −0.299123 0.762153i
\(499\) −9.00545e8 + 6.13981e8i −0.324454 + 0.221209i −0.714582 0.699551i \(-0.753383\pi\)
0.390128 + 0.920761i \(0.372431\pi\)
\(500\) −1.86089e9 8.96156e8i −0.665771 0.320618i
\(501\) 6.93112e9 + 6.43114e9i 2.46247 + 2.28484i
\(502\) −5.21096e8 + 7.85426e7i −0.183846 + 0.0277104i
\(503\) −9.50290e7 + 1.26807e9i −0.0332942 + 0.444280i 0.955500 + 0.294992i \(0.0953170\pi\)
−0.988794 + 0.149288i \(0.952302\pi\)
\(504\) −2.96451e9 + 7.55344e9i −1.03144 + 2.62807i
\(505\) 8.59703e8 + 3.76660e9i 0.297049 + 1.30146i
\(506\) −9.98165e7 1.33196e9i −0.0342512 0.457050i
\(507\) 4.03853e9 + 1.24572e9i 1.37624 + 0.424515i
\(508\) 5.17703e8 2.49313e8i 0.175209 0.0843764i
\(509\) 1.00227e9 1.73598e9i 0.336878 0.583490i −0.646966 0.762519i \(-0.723962\pi\)
0.983844 + 0.179029i \(0.0572957\pi\)
\(510\) 1.11816e9 + 1.93672e9i 0.373259 + 0.646503i
\(511\) −4.25741e9 2.90265e9i −1.41147 0.962325i
\(512\) −5.60978e8 + 2.45781e9i −0.184715 + 0.809287i
\(513\) −3.38593e9 5.10348e8i −1.10731 0.166900i
\(514\) 5.17157e7 + 6.48495e7i 0.0167978 + 0.0210637i
\(515\) −4.22445e9 −1.36284
\(516\) 3.90350e9 1.76058e9i 1.25078 0.564134i
\(517\) −1.95656e9 −0.622695
\(518\) 2.23097e9 + 2.79755e9i 0.705244 + 0.884348i
\(519\) 9.72859e9 + 1.46635e9i 3.05467 + 0.460417i
\(520\) −2.33537e8 + 1.02319e9i −0.0728355 + 0.319113i
\(521\) 4.80826e9 + 3.27822e9i 1.48955 + 1.01556i 0.988680 + 0.150041i \(0.0479404\pi\)
0.500874 + 0.865520i \(0.333012\pi\)
\(522\) 7.16314e8 + 1.24069e9i 0.220423 + 0.381784i
\(523\) 9.77179e7 1.69252e8i 0.0298688 0.0517343i −0.850705 0.525644i \(-0.823824\pi\)
0.880573 + 0.473910i \(0.157158\pi\)
\(524\) 3.25907e9 1.56948e9i 0.989540 0.476538i
\(525\) −1.52888e9 4.71596e8i −0.461121 0.142237i
\(526\) −6.21919e7 8.29894e8i −0.0186331 0.248641i
\(527\) 1.22691e9 + 5.37546e9i 0.365155 + 1.59985i
\(528\) −1.09068e9 + 2.77900e9i −0.322461 + 0.821616i
\(529\) −2.93870e7 + 3.92142e8i −0.00863097 + 0.115172i
\(530\) −9.79458e8 + 1.47630e8i −0.285772 + 0.0430733i
\(531\) −4.28384e9 3.97482e9i −1.24166 1.15209i
\(532\) −3.68694e9 1.77554e9i −1.06164 0.511257i
\(533\) 1.06607e9 7.26833e8i 0.304958 0.207917i
\(534\) −9.86680e7 2.51402e8i −0.0280402 0.0714454i
\(535\) 3.19564e9 9.85725e8i 0.902235 0.278303i
\(536\) 1.47421e9 1.36787e9i 0.413507 0.383678i
\(537\) 4.13552e9 5.18577e9i 1.15244 1.44512i
\(538\) −1.64050e9 + 2.05712e9i −0.454191 + 0.569537i
\(539\) −7.93373e9 + 7.36142e9i −2.18231 + 2.02489i
\(540\) 4.47211e9 1.37946e9i 1.22218 0.376992i
\(541\) −5.90963e8 1.50575e9i −0.160461 0.408848i 0.827920 0.560847i \(-0.189524\pi\)
−0.988381 + 0.151999i \(0.951429\pi\)
\(542\) 4.85325e8 3.30889e8i 0.130929 0.0892657i
\(543\) −1.50678e9 7.25627e8i −0.403878 0.194497i
\(544\) −2.57575e9 2.38995e9i −0.685973 0.636490i
\(545\) −7.21988e9 + 1.08822e9i −1.91048 + 0.287958i
\(546\) 1.55476e8 2.07469e9i 0.0408781 0.545480i
\(547\) −2.56249e8 + 6.52912e8i −0.0669432 + 0.170569i −0.960430 0.278520i \(-0.910156\pi\)
0.893487 + 0.449089i \(0.148251\pi\)
\(548\) 2.71749e8 + 1.19061e9i 0.0705400 + 0.309056i
\(549\) −4.93178e8 6.58101e9i −0.127204 1.69742i
\(550\) 2.70450e8 + 8.34229e7i 0.0693136 + 0.0213804i
\(551\) −1.45461e9 + 7.00501e8i −0.370437 + 0.178393i
\(552\) 2.48368e9 4.30185e9i 0.628504 1.08860i
\(553\) −1.54696e9 2.67941e9i −0.388991 0.673753i
\(554\) 2.43217e9 + 1.65823e9i 0.607729 + 0.414343i
\(555\) 2.20618e9 9.66592e9i 0.547793 2.40004i
\(556\) 7.19855e8 + 1.08501e8i 0.177616 + 0.0267714i
\(557\) −2.02626e9 2.54085e9i −0.496824 0.622998i 0.468685 0.883365i \(-0.344728\pi\)
−0.965510 + 0.260367i \(0.916156\pi\)
\(558\) −5.81959e9 −1.41799
\(559\) −1.19869e9 + 1.05751e9i −0.290245 + 0.256061i
\(560\) 3.97311e9 0.956033
\(561\) −4.65738e9 5.84017e9i −1.11371 1.39655i
\(562\) −1.40989e9 2.12507e8i −0.335050 0.0505006i
\(563\) −3.72534e8 + 1.63218e9i −0.0879806 + 0.385468i −0.999677 0.0253952i \(-0.991916\pi\)
0.911697 + 0.410863i \(0.134773\pi\)
\(564\) −2.69040e9 1.83428e9i −0.631452 0.430517i
\(565\) 3.10042e8 + 5.37009e8i 0.0723188 + 0.125260i
\(566\) −1.44833e9 + 2.50858e9i −0.335745 + 0.581527i
\(567\) −4.68509e9 + 2.25622e9i −1.07939 + 0.519805i
\(568\) 1.79457e9 + 5.53551e8i 0.410905 + 0.126747i
\(569\) 5.03648e8 + 6.72071e9i 0.114613 + 1.52940i 0.697342 + 0.716738i \(0.254366\pi\)
−0.582729 + 0.812666i \(0.698015\pi\)
\(570\) −5.91912e8 2.59334e9i −0.133874 0.586539i
\(571\) −1.20048e9 + 3.05876e9i −0.269853 + 0.687574i 0.730138 + 0.683300i \(0.239456\pi\)
−0.999991 + 0.00427415i \(0.998639\pi\)
\(572\) 1.17235e8 1.56439e9i 0.0261921 0.349510i
\(573\) 5.40990e9 8.15412e8i 1.20129 0.181066i
\(574\) 2.64242e9 + 2.45180e9i 0.583189 + 0.541121i
\(575\) 5.74939e8 + 2.76876e8i 0.126120 + 0.0607362i
\(576\) −2.37774e8 + 1.62111e8i −0.0518424 + 0.0353455i
\(577\) 2.24416e9 + 5.71802e9i 0.486337 + 1.23917i 0.937893 + 0.346924i \(0.112774\pi\)
−0.451556 + 0.892243i \(0.649131\pi\)
\(578\) −2.13504e8 + 6.58574e7i −0.0459896 + 0.0141859i
\(579\) −5.81890e9 + 5.39915e9i −1.24585 + 1.15598i
\(580\) 1.37581e9 1.72521e9i 0.292792 0.367149i
\(581\) 6.25452e9 7.84292e9i 1.32305 1.65906i
\(582\) 1.81773e9 1.68661e9i 0.382208 0.354637i
\(583\) 3.16158e9 9.75218e8i 0.660791 0.203827i
\(584\) 1.23843e9 + 3.15547e9i 0.257292 + 0.655570i
\(585\) −3.10323e9 + 2.11575e9i −0.640867 + 0.436936i
\(586\) −2.41400e9 1.16252e9i −0.495558 0.238648i
\(587\) −1.77312e9 1.64521e9i −0.361829 0.335729i 0.478218 0.878241i \(-0.341283\pi\)
−0.840048 + 0.542512i \(0.817473\pi\)
\(588\) −1.78108e10 + 2.68455e9i −3.61296 + 0.544566i
\(589\) 4.90105e8 6.54000e9i 0.0988293 1.31879i
\(590\) 7.71461e8 1.96565e9i 0.154644 0.394025i
\(591\) −5.95273e8 2.60806e9i −0.118620 0.519710i
\(592\) 2.38371e8 + 3.18084e9i 0.0472201 + 0.630109i
\(593\) 3.13958e9 + 9.68431e8i 0.618272 + 0.190712i 0.588041 0.808831i \(-0.299899\pi\)
0.0302313 + 0.999543i \(0.490376\pi\)
\(594\) 3.30414e9 1.59119e9i 0.646853 0.311508i
\(595\) −4.97068e9 + 8.60948e9i −0.967402 + 1.67559i
\(596\) −3.29455e8 5.70634e8i −0.0637433 0.110407i
\(597\) −4.74883e8 3.23769e8i −0.0913432 0.0622767i
\(598\) −1.84648e8 + 8.08994e8i −0.0353093 + 0.154700i
\(599\) 4.48394e9 + 6.75845e8i 0.852444 + 0.128485i 0.560708 0.828014i \(-0.310529\pi\)
0.291736 + 0.956499i \(0.405767\pi\)
\(600\) 6.56253e8 + 8.22915e8i 0.124034 + 0.155534i
\(601\) −5.95556e8 −0.111908 −0.0559541 0.998433i \(-0.517820\pi\)
−0.0559541 + 0.998433i \(0.517820\pi\)
\(602\) −3.62553e9 2.60745e9i −0.677303 0.487111i
\(603\) 7.19695e9 1.33671
\(604\) 1.16199e8 + 1.45709e8i 0.0214572 + 0.0269065i
\(605\) −1.44244e9 2.17412e8i −0.264821 0.0399153i
\(606\) −1.12116e9 + 4.91212e9i −0.204650 + 0.896632i
\(607\) 1.99763e9 + 1.36196e9i 0.362539 + 0.247175i 0.730865 0.682522i \(-0.239117\pi\)
−0.368327 + 0.929696i \(0.620069\pi\)
\(608\) 2.08973e9 + 3.61951e9i 0.377074 + 0.653112i
\(609\) −4.88744e9 + 8.46530e9i −0.876842 + 1.51873i
\(610\) 2.14850e9 1.03466e9i 0.383249 0.184563i
\(611\) 1.16151e9 + 3.58278e8i 0.206005 + 0.0635441i
\(612\) −6.05284e8 8.07695e9i −0.106740 1.42435i
\(613\) −1.78973e9 7.84132e9i −0.313817 1.37492i −0.848199 0.529678i \(-0.822313\pi\)
0.534382 0.845243i \(-0.320544\pi\)
\(614\) −1.28002e9 + 3.26144e9i −0.223166 + 0.568617i
\(615\) 7.46395e8 9.95995e9i 0.129392 1.72661i
\(616\) 9.68433e9 1.45968e9i 1.66931 0.251608i
\(617\) −5.09057e9 4.72336e9i −0.872506 0.809567i 0.110360 0.993892i \(-0.464800\pi\)
−0.982865 + 0.184325i \(0.940990\pi\)
\(618\) −4.96362e9 2.39035e9i −0.845938 0.407382i
\(619\) −3.73326e9 + 2.54529e9i −0.632660 + 0.431340i −0.836730 0.547616i \(-0.815536\pi\)
0.204070 + 0.978956i \(0.434583\pi\)
\(620\) 3.27480e9 + 8.34405e9i 0.551840 + 1.40607i
\(621\) 7.90133e9 2.43724e9i 1.32397 0.408392i
\(622\) 1.61477e9 1.49829e9i 0.269058 0.249649i
\(623\) 7.48545e8 9.38645e8i 0.124025 0.155523i
\(624\) 1.15636e9 1.45003e9i 0.190522 0.238908i
\(625\) 5.04102e9 4.67738e9i 0.825921 0.766342i
\(626\) 4.07561e9 1.25716e9i 0.664022 0.204824i
\(627\) 3.24610e9 + 8.27092e9i 0.525926 + 1.34004i
\(628\) 2.98147e9 2.03273e9i 0.480365 0.327508i
\(629\) −7.19089e9 3.46295e9i −1.15214 0.554842i
\(630\) −7.69183e9 7.13698e9i −1.22557 1.13716i
\(631\) 1.21893e8 1.83725e7i 0.0193142 0.00291115i −0.139378 0.990239i \(-0.544510\pi\)
0.158692 + 0.987328i \(0.449272\pi\)
\(632\) −1.52103e8 + 2.02967e9i −0.0239678 + 0.319827i
\(633\) −4.01961e9 + 1.02418e10i −0.629900 + 1.60496i
\(634\) −8.71518e8 3.81837e9i −0.135820 0.595067i
\(635\) 1.24081e8 + 1.65575e9i 0.0192309 + 0.256618i
\(636\) 5.26166e9 + 1.62301e9i 0.811004 + 0.250162i
\(637\) 6.05784e9 2.91730e9i 0.928603 0.447192i
\(638\) 8.64564e8 1.49747e9i 0.131803 0.228289i
\(639\) 3.36040e9 + 5.82038e9i 0.509492 + 0.882466i
\(640\) −5.91288e9 4.03134e9i −0.891599 0.607882i
\(641\) −1.16447e9 + 5.10189e9i −0.174633 + 0.765117i 0.809419 + 0.587232i \(0.199782\pi\)
−0.984051 + 0.177884i \(0.943075\pi\)
\(642\) 4.31256e9 + 6.50013e8i 0.643224 + 0.0969504i
\(643\) 4.76752e9 + 5.97828e9i 0.707220 + 0.886825i 0.997540 0.0701043i \(-0.0223332\pi\)
−0.290320 + 0.956930i \(0.593762\pi\)
\(644\) 9.88181e9 1.45793
\(645\) 6.14822e8 + 1.23586e10i 0.0902174 + 1.81346i
\(646\) −2.14135e9 −0.312518
\(647\) −6.24782e8 7.83452e8i −0.0906908 0.113723i 0.734416 0.678700i \(-0.237456\pi\)
−0.825106 + 0.564977i \(0.808885\pi\)
\(648\) 3.38270e9 + 5.09860e8i 0.488372 + 0.0736103i
\(649\) −1.56951e9 + 6.87645e9i −0.225375 + 0.987434i
\(650\) −1.45276e8 9.90478e7i −0.0207491 0.0141465i
\(651\) −1.98536e10 3.43875e10i −2.82037 4.88503i
\(652\) 6.17074e8 1.06880e9i 0.0871908 0.151019i
\(653\) −8.22808e9 + 3.96244e9i −1.15639 + 0.556886i −0.910946 0.412526i \(-0.864646\pi\)
−0.245439 + 0.969412i \(0.578932\pi\)
\(654\) −9.09893e9 2.80665e9i −1.27195 0.392343i
\(655\) 7.81123e8 + 1.04234e10i 0.108611 + 1.44932i
\(656\) 7.15041e8 + 3.13280e9i 0.0988935 + 0.433281i
\(657\) −4.43196e9 + 1.12925e10i −0.609701 + 1.55349i
\(658\) −2.53770e8 + 3.38633e9i −0.0347256 + 0.463381i
\(659\) 4.79053e9 7.22057e8i 0.652056 0.0982817i 0.185320 0.982678i \(-0.440668\pi\)
0.466736 + 0.884397i \(0.345430\pi\)
\(660\) −8.90204e9 8.25989e9i −1.20527 1.11833i
\(661\) −3.63183e9 1.74900e9i −0.489125 0.235550i 0.173030 0.984916i \(-0.444644\pi\)
−0.662156 + 0.749366i \(0.730358\pi\)
\(662\) 1.15012e9 7.84141e8i 0.154078 0.105049i
\(663\) 1.69542e9 + 4.31985e9i 0.225933 + 0.575667i
\(664\) −6.30612e9 + 1.94518e9i −0.835938 + 0.257853i
\(665\) 8.66825e9 8.04296e9i 1.14303 1.06057i
\(666\) 5.25232e9 6.58620e9i 0.688956 0.863923i
\(667\) 2.43077e9 3.04810e9i 0.317179 0.397730i
\(668\) 9.07086e9 8.41653e9i 1.17742 1.09248i
\(669\) −2.36408e9 + 7.29222e8i −0.305261 + 0.0941604i
\(670\) 9.50089e8 + 2.42079e9i 0.122040 + 0.310953i
\(671\) −6.58124e9 + 4.48701e9i −0.840967 + 0.573361i
\(672\) 2.27985e10 + 1.09792e10i 2.89810 + 1.39565i
\(673\) −5.92067e9 5.49358e9i −0.748718 0.694709i 0.210432 0.977609i \(-0.432513\pi\)
−0.959149 + 0.282900i \(0.908704\pi\)
\(674\) 5.48970e8 8.27439e7i 0.0690619 0.0104094i
\(675\) −1.30933e8 + 1.74718e9i −0.0163865 + 0.218662i
\(676\) 2.02070e9 5.14867e9i 0.251588 0.641035i
\(677\) 6.36620e8 + 2.78922e9i 0.0788533 + 0.345479i 0.998929 0.0462607i \(-0.0147305\pi\)
−0.920076 + 0.391740i \(0.871873\pi\)
\(678\) 6.04317e7 + 8.06405e8i 0.00744665 + 0.0993687i
\(679\) 1.05334e10 + 3.24913e9i 1.29129 + 0.398312i
\(680\) 5.89236e9 2.83761e9i 0.718635 0.346076i
\(681\) −3.27702e9 + 5.67596e9i −0.397616 + 0.688691i
\(682\) 3.51201e9 + 6.08298e9i 0.423946 + 0.734296i
\(683\) 6.39357e9 + 4.35906e9i 0.767841 + 0.523505i 0.882734 0.469873i \(-0.155700\pi\)
−0.114893 + 0.993378i \(0.536653\pi\)
\(684\) −2.14380e9 + 9.39262e9i −0.256147 + 1.12225i
\(685\) −3.48947e9 5.25952e8i −0.414803 0.0625215i
\(686\) 7.31364e9 + 9.17101e9i 0.864966 + 1.08463i
\(687\) −1.17787e10 −1.38595
\(688\) −1.36099e9 3.74113e9i −0.159329 0.437968i
\(689\) −2.05545e9 −0.239408
\(690\) 4.00494e9 + 5.02203e9i 0.464113 + 0.581979i
\(691\) −2.42918e9 3.66139e8i −0.280082 0.0422156i 0.00749884 0.999972i \(-0.497613\pi\)
−0.287581 + 0.957756i \(0.592851\pi\)
\(692\) 2.86512e9 1.25529e10i 0.328679 1.44004i
\(693\) 2.89586e10 + 1.97436e10i 3.30530 + 2.25351i
\(694\) −3.04535e9 5.27471e9i −0.345843 0.599018i
\(695\) −1.05180e9 + 1.82177e9i −0.118847 + 0.205848i
\(696\) 5.79369e9 2.79009e9i 0.651363 0.313680i
\(697\) −7.68315e9 2.36994e9i −0.859457 0.265108i
\(698\) 1.21045e6 + 1.61524e7i 0.000134727 + 0.00179781i
\(699\) −2.06635e9 9.05326e9i −0.228841 1.00262i
\(700\) −7.64983e8 + 1.94914e9i −0.0842963 + 0.214784i
\(701\) −1.11278e8 + 1.48490e9i −0.0122010 + 0.162812i 0.987775 + 0.155886i \(0.0498234\pi\)
−0.999976 + 0.00692510i \(0.997796\pi\)
\(702\) −2.25287e9 + 3.39565e8i −0.245785 + 0.0370462i
\(703\) 6.95918e9 + 6.45718e9i 0.755466 + 0.700970i
\(704\) 3.12940e8 + 1.50704e8i 0.0338031 + 0.0162787i
\(705\) 7.77423e9 5.30038e9i 0.835595 0.569699i
\(706\) 6.48035e8 + 1.65116e9i 0.0693077 + 0.176593i
\(707\) −2.14028e10 + 6.60189e9i −2.27773 + 0.702587i
\(708\) −8.60490e9 + 7.98418e9i −0.911233 + 0.845500i
\(709\) −3.27827e9 + 4.11082e9i −0.345449 + 0.433179i −0.923956 0.382498i \(-0.875064\pi\)
0.578508 + 0.815677i \(0.303635\pi\)
\(710\) −1.51414e9 + 1.89868e9i −0.158768 + 0.199089i
\(711\) −5.33950e9 + 4.95433e9i −0.557130 + 0.516941i
\(712\) −7.54720e8 + 2.32800e8i −0.0783620 + 0.0241715i
\(713\) 5.78592e9 + 1.47423e10i 0.597804 + 1.52318i
\(714\) −1.07120e10 + 7.30331e9i −1.10135 + 0.750890i
\(715\) 4.08424e9 + 1.96687e9i 0.417869 + 0.201235i
\(716\) −6.36327e9 5.90425e9i −0.647865 0.601131i
\(717\) −7.81131e9 + 1.17737e9i −0.791420 + 0.119287i
\(718\) −3.94100e7 + 5.25890e8i −0.00397348 + 0.0530224i
\(719\) 4.79589e9 1.22197e10i 0.481191 1.22606i −0.459920 0.887960i \(-0.652122\pi\)
0.941112 0.338095i \(-0.109783\pi\)
\(720\) −2.08142e9 9.11929e9i −0.207824 0.910537i
\(721\) −1.83018e9 2.44221e10i −0.181853 2.42666i
\(722\) −1.77863e9 5.48634e8i −0.175875 0.0542504i
\(723\) 1.96192e10 9.44809e9i 1.93062 0.929736i
\(724\) −1.09435e9 + 1.89546e9i −0.107169 + 0.185622i
\(725\) 4.13050e8 + 7.15423e8i 0.0402550 + 0.0697236i
\(726\) −1.57180e9 1.07164e9i −0.152447 0.103937i
\(727\) 1.96193e9 8.59579e9i 0.189371 0.829689i −0.787578 0.616215i \(-0.788665\pi\)
0.976949 0.213474i \(-0.0684778\pi\)
\(728\) −6.01638e9 9.06823e8i −0.577930 0.0871090i
\(729\) −8.64335e9 1.08384e10i −0.826296 1.03614i
\(730\) −4.38344e9 −0.417047
\(731\) 9.80948e9 + 1.73128e9i 0.928827 + 0.163929i
\(732\) −1.32563e10 −1.24920
\(733\) 6.86234e9 + 8.60510e9i 0.643589 + 0.807035i 0.991447 0.130513i \(-0.0416623\pi\)
−0.347858 + 0.937547i \(0.613091\pi\)
\(734\) −1.80264e8 2.71705e7i −0.0168257 0.00253607i
\(735\) 1.15817e10 5.07428e10i 1.07589 4.71377i
\(736\) −8.33883e9 5.68531e9i −0.770961 0.525632i
\(737\) −4.34322e9 7.52268e9i −0.399646 0.692208i
\(738\) 4.24321e9 7.34945e9i 0.388595 0.673066i
\(739\) 6.06445e9 2.92049e9i 0.552759 0.266195i −0.136585 0.990628i \(-0.543613\pi\)
0.689345 + 0.724433i \(0.257899\pi\)
\(740\) −1.23988e10 3.82452e9i −1.12478 0.346949i
\(741\) −4.12500e8 5.50443e9i −0.0372443 0.496991i
\(742\) −1.27780e9 5.59842e9i −0.114829 0.503097i
\(743\) −3.51231e9 + 8.94923e9i −0.314147 + 0.800433i 0.683375 + 0.730068i \(0.260512\pi\)
−0.997521 + 0.0703647i \(0.977584\pi\)
\(744\) −1.95209e9 + 2.60488e10i −0.173778 + 2.31890i
\(745\) 1.88273e9 2.83777e8i 0.166818 0.0251437i
\(746\) −1.89289e9 1.75634e9i −0.166932 0.154890i
\(747\) −2.12781e10 1.02470e10i −1.86771 0.899443i
\(748\) −8.07723e9 + 5.50696e9i −0.705679 + 0.481124i
\(749\) 7.08307e9 + 1.80474e10i 0.615936 + 1.56938i
\(750\) 7.43760e9 2.29420e9i 0.643752 0.198571i
\(751\) −1.10414e10 + 1.02449e10i −0.951227 + 0.882610i −0.993190 0.116509i \(-0.962830\pi\)
0.0419624 + 0.999119i \(0.486639\pi\)