Properties

Label 36.6.h.a.11.13
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.64008 - 5.41389i) q^{2} +(13.2152 + 8.26786i) q^{3} +(-26.6203 + 17.7584i) q^{4} +(38.3603 - 22.1474i) q^{5} +(23.0872 - 85.1057i) q^{6} +(102.940 + 59.4323i) q^{7} +(139.801 + 114.994i) q^{8} +(106.285 + 218.523i) q^{9} +O(q^{10})\) \(q+(-1.64008 - 5.41389i) q^{2} +(13.2152 + 8.26786i) q^{3} +(-26.6203 + 17.7584i) q^{4} +(38.3603 - 22.1474i) q^{5} +(23.0872 - 85.1057i) q^{6} +(102.940 + 59.4323i) q^{7} +(139.801 + 114.994i) q^{8} +(106.285 + 218.523i) q^{9} +(-182.817 - 171.355i) q^{10} +(349.253 - 604.924i) q^{11} +(-498.617 + 14.5882i) q^{12} +(-271.774 - 470.726i) q^{13} +(152.931 - 654.777i) q^{14} +(690.052 + 24.4752i) q^{15} +(393.281 - 945.466i) q^{16} +1884.06i q^{17} +(1008.74 - 933.810i) q^{18} -961.023i q^{19} +(-627.863 + 1270.79i) q^{20} +(868.996 + 1636.50i) q^{21} +(-3847.79 - 898.695i) q^{22} +(566.279 + 980.824i) q^{23} +(896.749 + 2675.53i) q^{24} +(-581.490 + 1007.17i) q^{25} +(-2102.73 + 2243.38i) q^{26} +(-402.137 + 3766.59i) q^{27} +(-3795.71 + 245.936i) q^{28} +(173.063 + 99.9180i) q^{29} +(-999.232 - 3776.00i) q^{30} +(-225.699 + 130.308i) q^{31} +(-5763.66 - 578.543i) q^{32} +(9616.89 - 5106.64i) q^{33} +(10200.1 - 3089.99i) q^{34} +5265.07 q^{35} +(-6709.96 - 3929.71i) q^{36} -11136.8 q^{37} +(-5202.87 + 1576.15i) q^{38} +(300.339 - 8467.74i) q^{39} +(7909.63 + 1314.99i) q^{40} +(-8446.51 + 4876.59i) q^{41} +(7434.62 - 7388.63i) q^{42} +(-5303.93 - 3062.23i) q^{43} +(1445.24 + 22305.4i) q^{44} +(8916.85 + 6028.70i) q^{45} +(4381.33 - 4674.39i) q^{46} +(589.363 - 1020.81i) q^{47} +(13014.3 - 9242.97i) q^{48} +(-1339.11 - 2319.40i) q^{49} +(6406.39 + 1496.28i) q^{50} +(-15577.1 + 24898.3i) q^{51} +(15594.0 + 7704.61i) q^{52} -34070.7i q^{53} +(21051.4 - 4000.37i) q^{54} -30940.1i q^{55} +(7556.71 + 20146.2i) q^{56} +(7945.60 - 12700.2i) q^{57} +(257.108 - 1100.82i) q^{58} +(-5319.11 - 9212.96i) q^{59} +(-18804.0 + 11602.7i) q^{60} +(-5470.51 + 9475.20i) q^{61} +(1075.63 + 1008.20i) q^{62} +(-2046.38 + 28811.5i) q^{63} +(6320.66 + 32152.6i) q^{64} +(-20850.7 - 12038.1i) q^{65} +(-43419.2 - 43689.5i) q^{66} +(-49766.8 + 28732.9i) q^{67} +(-33457.8 - 50154.1i) q^{68} +(-625.799 + 17643.7i) q^{69} +(-8635.12 - 28504.5i) q^{70} +70902.1 q^{71} +(-10270.2 + 42772.0i) q^{72} -18551.8 q^{73} +(18265.1 + 60293.2i) q^{74} +(-16011.7 + 8502.31i) q^{75} +(17066.2 + 25582.7i) q^{76} +(71904.1 - 41513.8i) q^{77} +(-46335.9 + 12261.7i) q^{78} +(-12856.7 - 7422.81i) q^{79} +(-5853.17 - 44978.5i) q^{80} +(-36455.9 + 46451.6i) q^{81} +(40254.2 + 37730.4i) q^{82} +(-1200.62 + 2079.54i) q^{83} +(-52194.5 - 28132.3i) q^{84} +(41726.9 + 72273.0i) q^{85} +(-7879.69 + 33737.2i) q^{86} +(1460.96 + 2751.30i) q^{87} +(118389. - 44406.9i) q^{88} -28779.3i q^{89} +(18014.4 - 58162.3i) q^{90} -64608.5i q^{91} +(-32492.3 - 16053.6i) q^{92} +(-4060.03 - 144.004i) q^{93} +(-6493.13 - 1516.54i) q^{94} +(-21284.1 - 36865.2i) q^{95} +(-71384.8 - 55298.7i) q^{96} +(-78738.0 + 136378. i) q^{97} +(-10360.7 + 11053.8i) q^{98} +(169310. + 12025.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.64008 5.41389i −0.289927 0.957049i
\(3\) 13.2152 + 8.26786i 0.847758 + 0.530383i
\(4\) −26.6203 + 17.7584i −0.831884 + 0.554949i
\(5\) 38.3603 22.1474i 0.686211 0.396184i −0.115980 0.993252i \(-0.537001\pi\)
0.802191 + 0.597068i \(0.203668\pi\)
\(6\) 23.0872 85.1057i 0.261815 0.965118i
\(7\) 102.940 + 59.4323i 0.794032 + 0.458435i 0.841380 0.540444i \(-0.181744\pi\)
−0.0473481 + 0.998878i \(0.515077\pi\)
\(8\) 139.801 + 114.994i 0.772299 + 0.635259i
\(9\) 106.285 + 218.523i 0.437387 + 0.899273i
\(10\) −182.817 171.355i −0.578118 0.541873i
\(11\) 349.253 604.924i 0.870279 1.50737i 0.00857110 0.999963i \(-0.497272\pi\)
0.861708 0.507404i \(-0.169395\pi\)
\(12\) −498.617 + 14.5882i −0.999572 + 0.0292447i
\(13\) −271.774 470.726i −0.446014 0.772520i 0.552108 0.833773i \(-0.313824\pi\)
−0.998122 + 0.0612530i \(0.980490\pi\)
\(14\) 152.931 654.777i 0.208533 0.892840i
\(15\) 690.052 + 24.4752i 0.791870 + 0.0280865i
\(16\) 393.281 945.466i 0.384064 0.923307i
\(17\) 1884.06i 1.58114i 0.612369 + 0.790572i \(0.290217\pi\)
−0.612369 + 0.790572i \(0.709783\pi\)
\(18\) 1008.74 933.810i 0.733838 0.679325i
\(19\) 961.023i 0.610731i −0.952235 0.305366i \(-0.901221\pi\)
0.952235 0.305366i \(-0.0987786\pi\)
\(20\) −627.863 + 1270.79i −0.350986 + 0.710391i
\(21\) 868.996 + 1636.50i 0.430001 + 0.809783i
\(22\) −3847.79 898.695i −1.69494 0.395873i
\(23\) 566.279 + 980.824i 0.223208 + 0.386608i 0.955780 0.294081i \(-0.0950136\pi\)
−0.732572 + 0.680690i \(0.761680\pi\)
\(24\) 896.749 + 2675.53i 0.317792 + 0.948161i
\(25\) −581.490 + 1007.17i −0.186077 + 0.322294i
\(26\) −2102.73 + 2243.38i −0.610027 + 0.650832i
\(27\) −402.137 + 3766.59i −0.106161 + 0.994349i
\(28\) −3795.71 + 245.936i −0.914951 + 0.0592825i
\(29\) 173.063 + 99.9180i 0.0382128 + 0.0220622i 0.518985 0.854784i \(-0.326310\pi\)
−0.480772 + 0.876846i \(0.659643\pi\)
\(30\) −999.232 3776.00i −0.202704 0.766001i
\(31\) −225.699 + 130.308i −0.0421819 + 0.0243537i −0.520943 0.853592i \(-0.674419\pi\)
0.478761 + 0.877945i \(0.341086\pi\)
\(32\) −5763.66 578.543i −0.995000 0.0998759i
\(33\) 9616.89 5106.64i 1.53727 0.816302i
\(34\) 10200.1 3089.99i 1.51323 0.458417i
\(35\) 5265.07 0.726498
\(36\) −6709.96 3929.71i −0.862906 0.505364i
\(37\) −11136.8 −1.33738 −0.668690 0.743541i \(-0.733145\pi\)
−0.668690 + 0.743541i \(0.733145\pi\)
\(38\) −5202.87 + 1576.15i −0.584499 + 0.177068i
\(39\) 300.339 8467.74i 0.0316192 0.891468i
\(40\) 7909.63 + 1314.99i 0.781639 + 0.129949i
\(41\) −8446.51 + 4876.59i −0.784725 + 0.453061i −0.838102 0.545513i \(-0.816335\pi\)
0.0533772 + 0.998574i \(0.483001\pi\)
\(42\) 7434.62 7388.63i 0.650333 0.646310i
\(43\) −5303.93 3062.23i −0.437448 0.252561i 0.265066 0.964230i \(-0.414606\pi\)
−0.702515 + 0.711669i \(0.747939\pi\)
\(44\) 1445.24 + 22305.4i 0.112540 + 1.73692i
\(45\) 8916.85 + 6028.70i 0.656417 + 0.443805i
\(46\) 4381.33 4674.39i 0.305289 0.325710i
\(47\) 589.363 1020.81i 0.0389169 0.0674061i −0.845911 0.533324i \(-0.820943\pi\)
0.884828 + 0.465918i \(0.154276\pi\)
\(48\) 13014.3 9242.97i 0.815299 0.579040i
\(49\) −1339.11 2319.40i −0.0796755 0.138002i
\(50\) 6406.39 + 1496.28i 0.362400 + 0.0846426i
\(51\) −15577.1 + 24898.3i −0.838612 + 1.34043i
\(52\) 15594.0 + 7704.61i 0.799741 + 0.395132i
\(53\) 34070.7i 1.66606i −0.553227 0.833031i \(-0.686604\pi\)
0.553227 0.833031i \(-0.313396\pi\)
\(54\) 21051.4 4000.37i 0.982419 0.186688i
\(55\) 30940.1i 1.37916i
\(56\) 7556.71 + 20146.2i 0.322005 + 0.858465i
\(57\) 7945.60 12700.2i 0.323921 0.517752i
\(58\) 257.108 1100.82i 0.0100357 0.0429680i
\(59\) −5319.11 9212.96i −0.198934 0.344564i 0.749249 0.662288i \(-0.230415\pi\)
−0.948183 + 0.317725i \(0.897081\pi\)
\(60\) −18804.0 + 11602.7i −0.674331 + 0.416082i
\(61\) −5470.51 + 9475.20i −0.188236 + 0.326035i −0.944662 0.328045i \(-0.893610\pi\)
0.756426 + 0.654079i \(0.226944\pi\)
\(62\) 1075.63 + 1008.20i 0.0355374 + 0.0333093i
\(63\) −2046.38 + 28811.5i −0.0649584 + 0.914565i
\(64\) 6320.66 + 32152.6i 0.192891 + 0.981220i
\(65\) −20850.7 12038.1i −0.612120 0.353408i
\(66\) −43419.2 43689.5i −1.22694 1.23457i
\(67\) −49766.8 + 28732.9i −1.35442 + 0.781974i −0.988865 0.148816i \(-0.952454\pi\)
−0.365554 + 0.930790i \(0.619121\pi\)
\(68\) −33457.8 50154.1i −0.877454 1.31533i
\(69\) −625.799 + 17643.7i −0.0158238 + 0.446136i
\(70\) −8635.12 28504.5i −0.210631 0.695294i
\(71\) 70902.1 1.66922 0.834610 0.550842i \(-0.185693\pi\)
0.834610 + 0.550842i \(0.185693\pi\)
\(72\) −10270.2 + 42772.0i −0.233478 + 0.972362i
\(73\) −18551.8 −0.407454 −0.203727 0.979028i \(-0.565305\pi\)
−0.203727 + 0.979028i \(0.565305\pi\)
\(74\) 18265.1 + 60293.2i 0.387743 + 1.27994i
\(75\) −16011.7 + 8502.31i −0.328687 + 0.174536i
\(76\) 17066.2 + 25582.7i 0.338924 + 0.508058i
\(77\) 71904.1 41513.8i 1.38206 0.797932i
\(78\) −46335.9 + 12261.7i −0.862346 + 0.228200i
\(79\) −12856.7 7422.81i −0.231772 0.133814i 0.379617 0.925144i \(-0.376056\pi\)
−0.611389 + 0.791330i \(0.709389\pi\)
\(80\) −5853.17 44978.5i −0.102251 0.785743i
\(81\) −36455.9 + 46451.6i −0.617385 + 0.786661i
\(82\) 40254.2 + 37730.4i 0.661115 + 0.619665i
\(83\) −1200.62 + 2079.54i −0.0191298 + 0.0331338i −0.875432 0.483342i \(-0.839423\pi\)
0.856302 + 0.516475i \(0.172756\pi\)
\(84\) −52194.5 28132.3i −0.807099 0.435017i
\(85\) 41726.9 + 72273.0i 0.626424 + 1.08500i
\(86\) −7879.69 + 33737.2i −0.114885 + 0.491884i
\(87\) 1460.96 + 2751.30i 0.0206938 + 0.0389709i
\(88\) 118389. 44406.9i 1.62968 0.611286i
\(89\) 28779.3i 0.385129i −0.981284 0.192564i \(-0.938320\pi\)
0.981284 0.192564i \(-0.0616804\pi\)
\(90\) 18014.4 58162.3i 0.234430 0.756895i
\(91\) 64608.5i 0.817874i
\(92\) −32492.3 16053.6i −0.400232 0.197744i
\(93\) −4060.03 144.004i −0.0486768 0.00172650i
\(94\) −6493.13 1516.54i −0.0757940 0.0177025i
\(95\) −21284.1 36865.2i −0.241962 0.419090i
\(96\) −71384.8 55298.7i −0.790547 0.612402i
\(97\) −78738.0 + 136378.i −0.849680 + 1.47169i 0.0318145 + 0.999494i \(0.489871\pi\)
−0.881494 + 0.472195i \(0.843462\pi\)
\(98\) −10360.7 + 11053.8i −0.108975 + 0.116264i
\(99\) 169310. + 12025.5i 1.73618 + 0.123315i
\(100\) −2406.25 37137.5i −0.0240625 0.371375i
\(101\) −48022.2 27725.6i −0.468424 0.270444i 0.247156 0.968976i \(-0.420504\pi\)
−0.715580 + 0.698531i \(0.753837\pi\)
\(102\) 160344. + 43497.6i 1.52599 + 0.413967i
\(103\) 99722.3 57574.7i 0.926188 0.534735i 0.0405841 0.999176i \(-0.487078\pi\)
0.885604 + 0.464441i \(0.153745\pi\)
\(104\) 16136.5 97060.3i 0.146294 0.879951i
\(105\) 69579.2 + 43530.9i 0.615894 + 0.385322i
\(106\) −184455. + 55878.5i −1.59450 + 0.483037i
\(107\) 162431. 1.37155 0.685773 0.727815i \(-0.259464\pi\)
0.685773 + 0.727815i \(0.259464\pi\)
\(108\) −56183.4 107409.i −0.463499 0.886097i
\(109\) 174442. 1.40632 0.703160 0.711032i \(-0.251772\pi\)
0.703160 + 0.711032i \(0.251772\pi\)
\(110\) −167506. + 50744.1i −1.31993 + 0.399857i
\(111\) −147175. 92077.2i −1.13377 0.709324i
\(112\) 96675.5 73952.4i 0.728234 0.557067i
\(113\) −79120.9 + 45680.5i −0.582901 + 0.336538i −0.762286 0.647241i \(-0.775923\pi\)
0.179384 + 0.983779i \(0.442589\pi\)
\(114\) −81788.6 22187.4i −0.589428 0.159898i
\(115\) 43445.3 + 25083.2i 0.306336 + 0.176863i
\(116\) −6381.37 + 413.469i −0.0440321 + 0.00285297i
\(117\) 73979.1 109420.i 0.499625 0.738979i
\(118\) −41154.2 + 43907.0i −0.272088 + 0.290288i
\(119\) −111974. + 193944.i −0.724851 + 1.25548i
\(120\) 93655.5 + 82773.7i 0.593718 + 0.524734i
\(121\) −163430. 283069.i −1.01477 1.75764i
\(122\) 60269.7 + 14076.7i 0.366606 + 0.0856249i
\(123\) −151942. 5389.16i −0.905553 0.0321187i
\(124\) 3694.14 7476.88i 0.0215754 0.0436683i
\(125\) 189935.i 1.08725i
\(126\) 159338. 36174.2i 0.894117 0.202989i
\(127\) 188373.i 1.03636i 0.855273 + 0.518178i \(0.173389\pi\)
−0.855273 + 0.518178i \(0.826611\pi\)
\(128\) 163704. 86952.1i 0.883151 0.469089i
\(129\) −44774.7 84320.2i −0.236896 0.446126i
\(130\) −30976.4 + 132627.i −0.160758 + 0.688291i
\(131\) −123193. 213376.i −0.627201 1.08634i −0.988111 0.153743i \(-0.950867\pi\)
0.360910 0.932601i \(1.61753\pi\)
\(132\) −165319. + 306721.i −0.825824 + 1.53217i
\(133\) 57115.8 98927.5i 0.279980 0.484940i
\(134\) 237178. + 222308.i 1.14107 + 1.06953i
\(135\) 67993.9 + 153394.i 0.321096 + 0.724392i
\(136\) −216656. + 263393.i −1.00444 + 1.22112i
\(137\) 88854.7 + 51300.3i 0.404463 + 0.233517i 0.688408 0.725324i \(-0.258310\pi\)
−0.283945 + 0.958841i \(0.591643\pi\)
\(138\) 96547.5 25549.0i 0.431562 0.114203i
\(139\) −194249. + 112150.i −0.852750 + 0.492335i −0.861578 0.507626i \(-0.830523\pi\)
0.00882796 + 0.999961i \(0.497190\pi\)
\(140\) −140158. + 93499.0i −0.604362 + 0.403169i
\(141\) 16228.5 8617.44i 0.0687432 0.0365032i
\(142\) −116285. 383856.i −0.483952 1.59752i
\(143\) −379671. −1.55263
\(144\) 248406. 14547.8i 0.998289 0.0584644i
\(145\) 8851.68 0.0349627
\(146\) 30426.3 + 100437.i 0.118132 + 0.389953i
\(147\) 1479.86 41722.9i 0.00564841 0.159251i
\(148\) 296464. 197771.i 1.11255 0.742177i
\(149\) −27795.8 + 16047.9i −0.102568 + 0.0592179i −0.550407 0.834897i \(-0.685527\pi\)
0.447838 + 0.894115i \(0.352194\pi\)
\(150\) 72290.9 + 72740.8i 0.262334 + 0.263967i
\(151\) 65816.4 + 37999.1i 0.234905 + 0.135622i 0.612833 0.790213i \(-0.290030\pi\)
−0.377928 + 0.925835i \(0.623363\pi\)
\(152\) 110512. 134352.i 0.387973 0.471667i
\(153\) −411710. + 200247.i −1.42188 + 0.691572i
\(154\) −342679. 321194.i −1.16436 1.09136i
\(155\) −5771.93 + 9997.28i −0.0192971 + 0.0334236i
\(156\) 142378. + 230747.i 0.468416 + 0.759146i
\(157\) −255695. 442876.i −0.827890 1.43395i −0.899690 0.436529i \(-0.856208\pi\)
0.0717997 0.997419i \(-0.477126\pi\)
\(158\) −19100.3 + 81778.6i −0.0608692 + 0.260614i
\(159\) 281691. 450252.i 0.883651 1.41242i
\(160\) −233909. + 105457.i −0.722349 + 0.325667i
\(161\) 134621.i 0.409306i
\(162\) 311274. + 121184.i 0.931870 + 0.362793i
\(163\) 206451.i 0.608623i −0.952573 0.304311i \(-0.901574\pi\)
0.952573 0.304311i \(-0.0984263\pi\)
\(164\) 138248. 279813.i 0.401375 0.812377i
\(165\) 255809. 408881.i 0.731485 1.16920i
\(166\) 13227.5 + 3089.43i 0.0372569 + 0.00870178i
\(167\) 160986. + 278836.i 0.446681 + 0.773674i 0.998168 0.0605096i \(-0.0192726\pi\)
−0.551487 + 0.834184i \(0.685939\pi\)
\(168\) −66701.8 + 328714.i −0.182333 + 0.898557i
\(169\) 37924.7 65687.4i 0.102142 0.176915i
\(170\) 322843. 344438.i 0.856779 0.914089i
\(171\) 210006. 102142.i 0.549214 0.267126i
\(172\) 195572. 12671.7i 0.504065 0.0326599i
\(173\) 474593. + 274007.i 1.20561 + 0.696058i 0.961797 0.273764i \(-0.0882688\pi\)
0.243812 + 0.969823i \(0.421602\pi\)
\(174\) 12499.1 12421.8i 0.0312973 0.0311037i
\(175\) −119717. + 69118.5i −0.295502 + 0.170608i
\(176\) −434581. 568112.i −1.05752 1.38246i
\(177\) 5878.18 165729.i 0.0141030 0.397618i
\(178\) −155808. + 47200.3i −0.368587 + 0.111659i
\(179\) −169767. −0.396024 −0.198012 0.980200i \(-0.563449\pi\)
−0.198012 + 0.980200i \(0.563449\pi\)
\(180\) −344429. 2137.16i −0.792353 0.00491649i
\(181\) 652433. 1.48027 0.740133 0.672461i \(-0.234763\pi\)
0.740133 + 0.672461i \(0.234763\pi\)
\(182\) −349783. + 105963.i −0.782745 + 0.237124i
\(183\) −150634. + 79987.6i −0.332502 + 0.176561i
\(184\) −33622.7 + 202239.i −0.0732129 + 0.440373i
\(185\) −427210. + 246650.i −0.917724 + 0.529848i
\(186\) 5879.14 + 22216.7i 0.0124604 + 0.0470867i
\(187\) 1.13971e6 + 658012.i 2.38337 + 1.37604i
\(188\) 2438.83 + 37640.3i 0.00503254 + 0.0776710i
\(189\) −265253. + 363832.i −0.540139 + 0.740877i
\(190\) −164676. + 175692.i −0.330938 + 0.353075i
\(191\) 130899. 226724.i 0.259629 0.449690i −0.706514 0.707699i \(-0.749733\pi\)
0.966143 + 0.258009i \(0.0830664\pi\)
\(192\) −182304. + 477163.i −0.356898 + 0.934144i
\(193\) 456035. + 789876.i 0.881262 + 1.52639i 0.849939 + 0.526882i \(0.176639\pi\)
0.0313238 + 0.999509i \(0.490028\pi\)
\(194\) 867473. + 202608.i 1.65482 + 0.386502i
\(195\) −176017. 331477.i −0.331488 0.624262i
\(196\) 76836.1 + 37962.8i 0.142865 + 0.0705859i
\(197\) 141457.i 0.259693i −0.991534 0.129846i \(-0.958552\pi\)
0.991534 0.129846i \(-0.0414484\pi\)
\(198\) −212577. 936350.i −0.385348 1.69737i
\(199\) 568072.i 1.01688i −0.861097 0.508441i \(-0.830222\pi\)
0.861097 0.508441i \(-0.169778\pi\)
\(200\) −197111. + 73935.4i −0.348447 + 0.130701i
\(201\) −895240. 31752.9i −1.56297 0.0554362i
\(202\) −71343.4 + 305459.i −0.123020 + 0.526713i
\(203\) 11876.7 + 20571.1i 0.0202281 + 0.0350362i
\(204\) −27484.9 939423.i −0.0462401 1.58047i
\(205\) −216007. + 374136.i −0.358991 + 0.621791i
\(206\) −475255. 445458.i −0.780294 0.731373i
\(207\) −154146. + 227992.i −0.250038 + 0.369823i
\(208\) −551939. + 71825.2i −0.884571 + 0.115111i
\(209\) −581346. 335640.i −0.920596 0.531506i
\(210\) 121556. 448088.i 0.190208 0.701156i
\(211\) −395205. + 228172.i −0.611106 + 0.352822i −0.773398 0.633920i \(-0.781445\pi\)
0.162292 + 0.986743i \(0.448111\pi\)
\(212\) 605039. + 906972.i 0.924579 + 1.38597i
\(213\) 936989. + 586209.i 1.41509 + 0.885326i
\(214\) −266400. 879385.i −0.397649 1.31264i
\(215\) −271281. −0.400242
\(216\) −489355. + 480330.i −0.713657 + 0.700495i
\(217\) −30977.9 −0.0446584
\(218\) −286098. 944408.i −0.407730 1.34592i
\(219\) −245166. 153383.i −0.345422 0.216107i
\(220\) 549446. + 823636.i 0.765364 + 1.14730i
\(221\) 886874. 512037.i 1.22147 0.705213i
\(222\) −257117. + 947802.i −0.350145 + 1.29073i
\(223\) −105529. 60927.0i −0.142105 0.0820441i 0.427262 0.904128i \(-0.359478\pi\)
−0.569367 + 0.822084i \(0.692812\pi\)
\(224\) −558925. 402102.i −0.744275 0.535447i
\(225\) −281894. 20022.0i −0.371218 0.0263664i
\(226\) 377073. + 353432.i 0.491082 + 0.460293i
\(227\) −63879.8 + 110643.i −0.0822809 + 0.142515i −0.904229 0.427047i \(-0.859554\pi\)
0.821948 + 0.569562i \(0.192887\pi\)
\(228\) 14019.6 + 479183.i 0.0178607 + 0.610470i
\(229\) −194394. 336700.i −0.244959 0.424282i 0.717161 0.696908i \(-0.245441\pi\)
−0.962120 + 0.272626i \(0.912108\pi\)
\(230\) 64543.7 276346.i 0.0804516 0.344456i
\(231\) 1.29346e6 + 45877.2i 1.59486 + 0.0565675i
\(232\) 12704.4 + 33869.9i 0.0154965 + 0.0413137i
\(233\) 147353.i 0.177815i −0.996040 0.0889077i \(-0.971662\pi\)
0.996040 0.0889077i \(-0.0283376\pi\)
\(234\) −713719. 221057.i −0.852094 0.263916i
\(235\) 52211.3i 0.0616730i
\(236\) 305203. + 150793.i 0.356705 + 0.176239i
\(237\) −108534. 204392.i −0.125514 0.236370i
\(238\) 1.23364e6 + 288130.i 1.41171 + 0.329720i
\(239\) 186495. + 323018.i 0.211189 + 0.365790i 0.952087 0.305827i \(-0.0989331\pi\)
−0.740898 + 0.671618i \(0.765600\pi\)
\(240\) 294525. 642795.i 0.330061 0.720352i
\(241\) −292951. + 507405.i −0.324902 + 0.562746i −0.981492 0.191501i \(-0.938665\pi\)
0.656591 + 0.754247i \(0.271998\pi\)
\(242\) −1.26447e6 + 1.34905e6i −1.38793 + 1.48077i
\(243\) −865829. + 312456.i −0.940625 + 0.339448i
\(244\) −22637.4 349380.i −0.0243418 0.375684i
\(245\) −102737. 59315.3i −0.109348 0.0631323i
\(246\) 220019. + 831433.i 0.231805 + 0.875970i
\(247\) −452379. + 261181.i −0.471802 + 0.272395i
\(248\) −46537.6 7736.98i −0.0480480 0.00798808i
\(249\) −33059.8 + 17555.0i −0.0337911 + 0.0179433i
\(250\) 1.02829e6 311507.i 1.04055 0.315223i
\(251\) 713349. 0.714691 0.357345 0.933972i \(-0.383682\pi\)
0.357345 + 0.933972i \(0.383682\pi\)
\(252\) −457170. 803312.i −0.453499 0.796861i
\(253\) 791098. 0.777015
\(254\) 1.01983e6 308946.i 0.991843 0.300468i
\(255\) −46112.6 + 1.30010e6i −0.0444089 + 1.25206i
\(256\) −739236. 743668.i −0.704990 0.709217i
\(257\) 487256. 281317.i 0.460176 0.265683i −0.251942 0.967742i \(-0.581069\pi\)
0.712118 + 0.702059i \(0.247736\pi\)
\(258\) −383066. + 380697.i −0.358282 + 0.356065i
\(259\) −1.14642e6 661883.i −1.06192 0.613101i
\(260\) 768828. 49814.8i 0.705336 0.0457009i
\(261\) −3440.39 + 48438.1i −0.00312613 + 0.0440135i
\(262\) −953148. + 1.01690e6i −0.857841 + 0.915222i
\(263\) 833666. 1.44395e6i 0.743195 1.28725i −0.207838 0.978163i \(-0.566643\pi\)
0.951033 0.309088i \(-0.100024\pi\)
\(264\) 1.93169e6 + 391973.i 1.70579 + 0.346135i
\(265\) −754575. 1.30696e6i −0.660067 1.14327i
\(266\) −629256. 146970.i −0.545285 0.127357i
\(267\) 237943. 380326.i 0.204266 0.326496i
\(268\) 814559. 1.64866e6i 0.692765 1.40215i
\(269\) 909140.i 0.766038i −0.923740 0.383019i \(-0.874884\pi\)
0.923740 0.383019i \(-0.125116\pi\)
\(270\) 718942. 619689.i 0.600184 0.517326i
\(271\) 1.38725e6i 1.14744i −0.819050 0.573722i \(-0.805499\pi\)
0.819050 0.573722i \(-0.194501\pi\)
\(272\) 1.78131e6 + 740964.i 1.45988 + 0.607260i
\(273\) 534174. 853817.i 0.433787 0.693359i
\(274\) 132005. 565185.i 0.106222 0.454794i
\(275\) 406174. + 703514.i 0.323877 + 0.560972i
\(276\) −296665. 480795.i −0.234419 0.379915i
\(277\) −540237. + 935718.i −0.423044 + 0.732733i −0.996235 0.0866882i \(-0.972372\pi\)
0.573192 + 0.819421i \(0.305705\pi\)
\(278\) 925748. + 867707.i 0.718424 + 0.673382i
\(279\) −52463.7 35470.8i −0.0403505 0.0272810i
\(280\) 736063. + 605453.i 0.561073 + 0.461514i
\(281\) −340589. 196639.i −0.257315 0.148561i 0.365794 0.930696i \(-0.380797\pi\)
−0.623109 + 0.782135i \(0.714131\pi\)
\(282\) −73269.7 73725.8i −0.0548658 0.0552073i
\(283\) −248928. + 143719.i −0.184760 + 0.106671i −0.589527 0.807749i \(-0.700686\pi\)
0.404767 + 0.914420i \(0.367353\pi\)
\(284\) −1.88744e6 + 1.25911e6i −1.38860 + 0.926331i
\(285\) 23521.2 663156.i 0.0171533 0.483619i
\(286\) 622689. + 2.05550e6i 0.450149 + 1.48594i
\(287\) −1.15931e6 −0.830796
\(288\) −486165. 1.32098e6i −0.345385 0.938461i
\(289\) −2.12981e6 −1.50002
\(290\) −14517.4 47922.0i −0.0101366 0.0334610i
\(291\) −2.16810e6 + 1.15128e6i −1.50088 + 0.796980i
\(292\) 493854. 329449.i 0.338954 0.226116i
\(293\) −1.55571e6 + 898188.i −1.05867 + 0.611221i −0.925063 0.379814i \(-0.875988\pi\)
−0.133603 + 0.991035i \(0.542655\pi\)
\(294\) −228310. + 60417.0i −0.154048 + 0.0407653i
\(295\) −408086. 235608.i −0.273021 0.157629i
\(296\) −1.55693e6 1.28066e6i −1.03286 0.849583i
\(297\) 2.13805e6 + 1.55876e6i 1.40646 + 1.02538i
\(298\) 132469. + 124164.i 0.0864118 + 0.0809941i
\(299\) 307799. 533124.i 0.199108 0.344866i
\(300\) 275248. 510675.i 0.176572 0.327598i
\(301\) −363990. 630450.i −0.231565 0.401083i
\(302\) 97779.0 418644.i 0.0616919 0.264136i
\(303\) −405393. 763442.i −0.253671 0.477715i
\(304\) −908615. 377952.i −0.563892 0.234560i
\(305\) 484629.i 0.298304i
\(306\) 1.75935e6 + 1.90053e6i 1.07411 + 1.16030i
\(307\) 1.13601e6i 0.687918i 0.938985 + 0.343959i \(0.111768\pi\)
−0.938985 + 0.343959i \(0.888232\pi\)
\(308\) −1.17689e6 + 2.38201e6i −0.706902 + 1.43076i
\(309\) 1.79387e6 + 63626.2i 1.06880 + 0.0379088i
\(310\) 63590.6 + 14852.3i 0.0375827 + 0.00877787i
\(311\) 176499. + 305706.i 0.103477 + 0.179227i 0.913115 0.407703i \(-0.133670\pi\)
−0.809638 + 0.586929i \(0.800337\pi\)
\(312\) 1.01573e6 1.14926e6i 0.590733 0.668394i
\(313\) 68385.0 118446.i 0.0394548 0.0683377i −0.845624 0.533780i \(-0.820771\pi\)
0.885078 + 0.465442i \(0.154105\pi\)
\(314\) −1.97832e6 + 2.11065e6i −1.13233 + 1.20807i
\(315\) 559599. + 1.15054e6i 0.317761 + 0.653320i
\(316\) 474066. 30716.2i 0.267068 0.0173041i
\(317\) −609932. 352144.i −0.340905 0.196822i 0.319767 0.947496i \(-0.396395\pi\)
−0.660672 + 0.750675i \(0.729729\pi\)
\(318\) −2.89961e6 786598.i −1.60795 0.436199i
\(319\) 120886. 69793.3i 0.0665117 0.0384005i
\(320\) 954558. + 1.09340e6i 0.521108 + 0.596903i
\(321\) 2.14657e6 + 1.34296e6i 1.16274 + 0.727445i
\(322\) 728822. 220789.i 0.391726 0.118669i
\(323\) 1.81062e6 0.965654
\(324\) 145565. 1.88395e6i 0.0770360 0.997028i
\(325\) 632134. 0.331972
\(326\) −1.11770e6 + 338595.i −0.582482 + 0.176456i
\(327\) 2.30529e6 + 1.44226e6i 1.19222 + 0.745889i
\(328\) −1.74161e6 289547.i −0.893854 0.148605i
\(329\) 121338. 70054.4i 0.0618025 0.0356817i
\(330\) −2.63318e6 714322.i −1.33105 0.361085i
\(331\) 1.21122e6 + 699299.i 0.607650 + 0.350827i 0.772045 0.635567i \(-0.219234\pi\)
−0.164395 + 0.986395i \(0.552567\pi\)
\(332\) −4968.27 76679.0i −0.00247377 0.0381796i
\(333\) −1.18367e6 2.43364e6i −0.584953 1.20267i
\(334\) 1.24556e6 1.32887e6i 0.610939 0.651805i
\(335\) −1.27272e6 + 2.20441e6i −0.619611 + 1.07320i
\(336\) 1.88902e6 178000.i 0.912826 0.0860146i
\(337\) 565468. + 979419.i 0.271227 + 0.469779i 0.969176 0.246368i \(-0.0792372\pi\)
−0.697949 + 0.716147i \(0.745904\pi\)
\(338\) −417824. 97587.4i −0.198930 0.0464624i
\(339\) −1.42328e6 50481.8i −0.672653 0.0238581i
\(340\) −2.39423e6 1.18293e6i −1.12323 0.554960i
\(341\) 182041.i 0.0847781i
\(342\) −897414. 969428.i −0.414885 0.448178i
\(343\) 2.31610e6i 1.06297i
\(344\) −389357. 1.03802e6i −0.177399 0.472946i
\(345\) 366756. + 690679.i 0.165894 + 0.312413i
\(346\) 705071. 3.01878e6i 0.316623 1.35563i
\(347\) −669599. 1.15978e6i −0.298532 0.517073i 0.677268 0.735736i \(-0.263164\pi\)
−0.975800 + 0.218663i \(0.929830\pi\)
\(348\) −87749.8 47296.2i −0.0388417 0.0209352i
\(349\) −997138. + 1.72709e6i −0.438220 + 0.759019i −0.997552 0.0699247i \(-0.977724\pi\)
0.559333 + 0.828943i \(0.311057\pi\)
\(350\) 570544. + 534773.i 0.248954 + 0.233346i
\(351\) 1.88232e6 834364.i 0.815503 0.361483i
\(352\) −2.36295e6 + 3.28452e6i −1.01648 + 1.41291i
\(353\) 1.57369e6 + 908571.i 0.672175 + 0.388081i 0.796900 0.604111i \(-0.206472\pi\)
−0.124725 + 0.992191i \(0.539805\pi\)
\(354\) −906879. + 239985.i −0.384628 + 0.101783i
\(355\) 2.71983e6 1.57029e6i 1.14544 0.661318i
\(356\) 511074. + 766115.i 0.213727 + 0.320383i
\(357\) −3.08326e6 + 1.63724e6i −1.28038 + 0.679894i
\(358\) 278431. + 919101.i 0.114818 + 0.379014i
\(359\) 1.16638e6 0.477644 0.238822 0.971063i \(-0.423239\pi\)
0.238822 + 0.971063i \(0.423239\pi\)
\(360\) 553319. + 1.86820e6i 0.225019 + 0.759745i
\(361\) 1.55253e6 0.627008
\(362\) −1.07004e6 3.53220e6i −0.429169 1.41669i
\(363\) 180608. 5.09204e6i 0.0719399 2.02827i
\(364\) 1.14734e6 + 1.71990e6i 0.453878 + 0.680377i
\(365\) −711652. + 410873.i −0.279599 + 0.161427i
\(366\) 680094. + 684327.i 0.265379 + 0.267031i
\(367\) −1.42589e6 823237.i −0.552612 0.319051i 0.197563 0.980290i \(-0.436697\pi\)
−0.750175 + 0.661240i \(0.770031\pi\)
\(368\) 1.15004e6 149658.i 0.442684 0.0576076i
\(369\) −1.96339e6 1.32745e6i −0.750655 0.507519i
\(370\) 2.03599e6 + 1.90834e6i 0.773164 + 0.724689i
\(371\) 2.02490e6 3.50723e6i 0.763780 1.32291i
\(372\) 110637. 68266.1i 0.0414516 0.0255769i
\(373\) 973750. + 1.68658e6i 0.362389 + 0.627677i 0.988354 0.152175i \(-0.0486278\pi\)
−0.625964 + 0.779852i \(0.715294\pi\)
\(374\) 1.69319e6 7.24945e6i 0.625932 2.67995i
\(375\) −1.57035e6 + 2.51003e6i −0.576659 + 0.921725i
\(376\) 199780. 74936.5i 0.0728758 0.0273353i
\(377\) 108620.i 0.0393602i
\(378\) 2.40478e6 + 839337.i 0.865656 + 0.302139i
\(379\) 4.71999e6i 1.68789i 0.536432 + 0.843943i \(0.319772\pi\)
−0.536432 + 0.843943i \(0.680228\pi\)
\(380\) 1.22126e6 + 603391.i 0.433858 + 0.214358i
\(381\) −1.55744e6 + 2.48939e6i −0.549666 + 0.878579i
\(382\) −1.44214e6 336828.i −0.505649 0.118100i
\(383\) 252323. + 437037.i 0.0878943 + 0.152237i 0.906621 0.421946i \(-0.138653\pi\)
−0.818727 + 0.574184i \(0.805320\pi\)
\(384\) 2.88230e6 + 204390.i 0.997495 + 0.0707347i
\(385\) 1.83884e6 3.18497e6i 0.632256 1.09510i
\(386\) 3.52837e6 3.76438e6i 1.20533 1.28595i
\(387\) 105439. 1.48450e6i 0.0357869 0.503853i
\(388\) −325824. 5.02869e6i −0.109876 1.69580i
\(389\) 1.60551e6 + 926943.i 0.537947 + 0.310584i 0.744247 0.667905i \(-0.232809\pi\)
−0.206299 + 0.978489i \(0.566142\pi\)
\(390\) −1.50590e6 + 1.49658e6i −0.501342 + 0.498241i
\(391\) −1.84793e6 + 1.06690e6i −0.611284 + 0.352925i
\(392\) 79509.1 478244.i 0.0261337 0.157193i
\(393\) 136141. 3.83835e6i 0.0444639 1.25361i
\(394\) −765834. + 232001.i −0.248539 + 0.0752920i
\(395\) −657583. −0.212059
\(396\) −4.72065e6 + 2.68655e6i −1.51274 + 0.860909i
\(397\) −2.32765e6 −0.741209 −0.370605 0.928791i \(-0.620850\pi\)
−0.370605 + 0.928791i \(0.620850\pi\)
\(398\) −3.07548e6 + 931682.i −0.973207 + 0.294822i
\(399\) 1.57272e6 835125.i 0.494559 0.262615i
\(400\) 723556. + 945879.i 0.226111 + 0.295587i
\(401\) 3.17463e6 1.83287e6i 0.985897 0.569208i 0.0818519 0.996645i \(-0.473917\pi\)
0.904045 + 0.427436i \(0.140583\pi\)
\(402\) 1.29635e6 + 4.89881e6i 0.400091 + 1.51191i
\(403\) 122678. + 70828.3i 0.0376275 + 0.0217242i
\(404\) 1.77073e6 114731.i 0.539757 0.0349725i
\(405\) −369683. + 2.58930e6i −0.111993 + 0.784413i
\(406\) 91890.7 98037.2i 0.0276666 0.0295173i
\(407\) −3.88955e6 + 6.73690e6i −1.16389 + 2.01592i
\(408\) −5.04085e6 + 1.68952e6i −1.49918 + 0.502475i
\(409\) 699640. + 1.21181e6i 0.206807 + 0.358201i 0.950707 0.310090i \(-0.100359\pi\)
−0.743900 + 0.668291i \(0.767026\pi\)
\(410\) 2.37980e6 + 555828.i 0.699165 + 0.163298i
\(411\) 750092. + 1.41258e6i 0.219033 + 0.412486i
\(412\) −1.63221e6 + 3.30356e6i −0.473731 + 0.958825i
\(413\) 1.26451e6i 0.364793i
\(414\) 1.48713e6 + 460604.i 0.426431 + 0.132077i
\(415\) 106362.i 0.0303157i
\(416\) 1.29407e6 + 2.87033e6i 0.366628 + 0.813203i
\(417\) −3.49428e6 123937.i −0.984052 0.0349030i
\(418\) −863667. + 3.69782e6i −0.241772 + 1.03515i
\(419\) −1.83298e6 3.17481e6i −0.510061 0.883452i −0.999932 0.0116570i \(-0.996289\pi\)
0.489871 0.871795i \(1.66296\pi\)
\(420\) −2.62526e6 + 76807.8i −0.726187 + 0.0212462i
\(421\) 2.68932e6 4.65804e6i 0.739498 1.28085i −0.213224 0.977003i \(-0.568396\pi\)
0.952722 0.303845i \(-0.0982704\pi\)
\(422\) 1.88346e6 + 1.76538e6i 0.514844 + 0.482566i
\(423\) 285711. + 20293.1i 0.0776382 + 0.00551438i
\(424\) 3.91793e6 4.76312e6i 1.05838 1.28670i
\(425\) −1.89756e6 1.09556e6i −0.509594 0.294214i
\(426\) 1.63693e6 6.03418e6i 0.437026 1.61099i
\(427\) −1.12627e6 + 650249.i −0.298931 + 0.172588i
\(428\) −4.32397e6 + 2.88452e6i −1.14097 + 0.761138i
\(429\) −5.01745e6 3.13907e6i −1.31625 0.823488i
\(430\) 444921. + 1.46868e6i 0.116041 + 0.383051i
\(431\) −7.43683e6 −1.92839 −0.964194 0.265198i \(-0.914563\pi\)
−0.964194 + 0.265198i \(0.914563\pi\)
\(432\) 3.40303e6 + 1.86154e6i 0.877316 + 0.479912i
\(433\) 4.75454e6 1.21868 0.609339 0.792910i \(-0.291435\pi\)
0.609339 + 0.792910i \(0.291435\pi\)
\(434\) 50806.1 + 167711.i 0.0129477 + 0.0427402i
\(435\) 116977. + 73184.4i 0.0296399 + 0.0185437i
\(436\) −4.64369e6 + 3.09780e6i −1.16990 + 0.780436i
\(437\) 942594. 544207.i 0.236114 0.136320i
\(438\) −428309. + 1.57886e6i −0.106677 + 0.393241i
\(439\) 1.50776e6 + 870508.i 0.373398 + 0.215582i 0.674942 0.737871i \(-0.264169\pi\)
−0.301544 + 0.953452i \(0.597502\pi\)
\(440\) 3.55794e6 4.32546e6i 0.876126 1.06513i
\(441\) 364516. 539144.i 0.0892524 0.132010i
\(442\) −4.22665e6 3.96165e6i −1.02906 0.964541i
\(443\) −412027. + 713652.i −0.0997509 + 0.172774i −0.911582 0.411119i \(-0.865138\pi\)
0.811831 + 0.583893i \(0.198471\pi\)
\(444\) 5.55298e6 162465.i 1.33681 0.0391113i
\(445\) −637386. 1.10399e6i −0.152582 0.264279i
\(446\) −156777. + 671245.i −0.0373202 + 0.159788i
\(447\) −500010. 17734.7i −0.118361 0.00419812i
\(448\) −1.26026e6 + 3.68543e6i −0.296663 + 0.867548i
\(449\) 3.08674e6i 0.722577i 0.932454 + 0.361289i \(0.117663\pi\)
−0.932454 + 0.361289i \(0.882337\pi\)
\(450\) 353931. + 1.55898e6i 0.0823923 + 0.362918i
\(451\) 6.81266e6i 1.57716i
\(452\) 1.29501e6 2.62109e6i 0.298145 0.603441i
\(453\) 555609. + 1.04633e6i 0.127211 + 0.239565i
\(454\) 703776. + 164375.i 0.160249 + 0.0374279i
\(455\) −1.43091e6 2.47840e6i −0.324028 0.561234i
\(456\) 2.57125e6 861797.i 0.579071 0.194085i
\(457\) 1.12118e6 1.94195e6i 0.251123 0.434958i −0.712712 0.701456i \(-0.752534\pi\)
0.963835 + 0.266499i \(0.0858668\pi\)
\(458\) −1.50404e6 + 1.60464e6i −0.335038 + 0.357449i
\(459\) −7.09647e6 757648.i −1.57221 0.167856i
\(460\) −1.60196e6 + 103796.i −0.352986 + 0.0228711i
\(461\) −3.91078e6 2.25789e6i −0.857059 0.494823i 0.00596751 0.999982i \(-0.498100\pi\)
−0.863026 + 0.505159i \(0.831434\pi\)
\(462\) −1.87300e6 7.07788e6i −0.408256 1.54276i
\(463\) 7.40455e6 4.27502e6i 1.60526 0.926799i 0.614853 0.788642i \(-0.289216\pi\)
0.990410 0.138157i \(-0.0441178\pi\)
\(464\) 162531. 124329.i 0.0350463 0.0268089i
\(465\) −158934. + 84395.0i −0.0340866 + 0.0181002i
\(466\) −797752. + 241670.i −0.170178 + 0.0515535i
\(467\) 7.67458e6 1.62841 0.814203 0.580581i \(-0.197174\pi\)
0.814203 + 0.580581i \(0.197174\pi\)
\(468\) −26225.4 + 4.22654e6i −0.00553487 + 0.892012i
\(469\) −6.83065e6 −1.43394
\(470\) −282666. + 85630.5i −0.0590241 + 0.0178807i
\(471\) 282570. 7.96677e6i 0.0586913 1.65474i
\(472\) 315821. 1.89965e6i 0.0652508 0.392481i
\(473\) −3.70483e6 + 2.13898e6i −0.761404 + 0.439597i
\(474\) −928549. + 922806.i −0.189827 + 0.188653i
\(475\) 967913. + 558825.i 0.196835 + 0.113643i
\(476\) −463357. 7.15133e6i −0.0937342 1.44667i
\(477\) 7.44524e6 3.62121e6i 1.49824 0.728714i
\(478\) 1.44292e6 1.53943e6i 0.288850 0.308171i
\(479\) −2.80988e6 + 4.86685e6i −0.559562 + 0.969191i 0.437970 + 0.898989i \(0.355697\pi\)
−0.997533 + 0.0702012i \(0.977636\pi\)
\(480\) −3.96306e6 540292.i −0.785105 0.107035i
\(481\) 3.02668e6 + 5.24236e6i 0.596491 + 1.03315i
\(482\) 3.22750e6 + 753818.i 0.632773 + 0.147791i
\(483\) −1.11303e6 + 1.77905e6i −0.217089 + 0.346992i
\(484\) 9.37740e6 + 4.63313e6i 1.81957 + 0.899004i
\(485\) 6.97536e6i 1.34652i
\(486\) 3.11163e6 + 4.17505e6i 0.597581 + 0.801809i
\(487\) 4.64134e6i 0.886790i −0.896326 0.443395i \(-0.853774\pi\)
0.896326 0.443395i \(-0.146226\pi\)
\(488\) −1.85438e6 + 695566.i −0.352491 + 0.132217i
\(489\) 1.70691e6 2.72830e6i 0.322803 0.515965i
\(490\) −152630. + 653488.i −0.0287176 + 0.122955i
\(491\) 32004.7 + 55433.7i 0.00599115 + 0.0103770i 0.869005 0.494803i \(-0.164760\pi\)
−0.863014 + 0.505180i \(0.831426\pi\)
\(492\) 4.14043e6 2.55477e6i 0.771140 0.475816i
\(493\) −188251. + 326060.i −0.0348835 + 0.0604200i
\(494\) 2.15594e6 + 2.02077e6i 0.397483 + 0.372563i
\(495\) 6.76114e6 3.28848e6i 1.24024 0.603228i
\(496\) 34438.1 + 264639.i 0.00628543 + 0.0483002i
\(497\) 7.29865e6 + 4.21388e6i 1.32541 + 0.765228i
\(498\) 149261. + 150191.i 0.0269696 + 0.0271375i
\(499\) −3.98798e6 + 2.30246e6i −0.716972 + 0.413944i −0.813637 0.581373i \(-0.802516\pi\)
0.0966654 + 0.995317i \(0.469182\pi\)
\(500\) −3.37293e6 5.05612e6i −0.603368 0.904466i
\(501\) −177907. + 5.01590e6i −0.0316664 + 0.892800i
\(502\) −1.16995e6 3.86199e6i −0.207208 0.683994i
\(503\) 4.30022e6 0.757829 0.378914 0.925432i \(-0.376297\pi\)
0.378914 + 0.925432i \(0.376297\pi\)
\(504\) −3.59924e6 + 3.79256e6i −0.631153 + 0.665052i
\(505\) −2.45620e6 −0.428583
\(506\) −1.29746e6 4.28292e6i −0.225278 0.743641i
\(507\) 1.04428e6 554520.i 0.180425 0.0958070i
\(508\) −3.34519e6 5.01454e6i −0.575124 0.862128i
\(509\) −6.05140e6 + 3.49378e6i −1.03529 + 0.597724i −0.918495 0.395433i \(-0.870595\pi\)
−0.116793 + 0.993156i \(0.537261\pi\)
\(510\) 7.11420e6 1.88261e6i 1.21116 0.320505i
\(511\) −1.90971e6 1.10257e6i −0.323531 0.186791i
\(512\) −2.81373e6 + 5.22181e6i −0.474359 + 0.880331i
\(513\) 3.61978e6 + 386463.i 0.607280 + 0.0648357i
\(514\) −2.32216e6 2.17657e6i −0.387689 0.363382i
\(515\) 2.55025e6 4.41717e6i 0.423707 0.733882i
\(516\) 2.68930e6 + 1.44950e6i 0.444647 + 0.239660i
\(517\) −411674. 713040.i −0.0677372 0.117324i
\(518\) −1.70315e6 + 7.29210e6i −0.278888 + 1.19407i
\(519\) 4.00642e6 + 7.54493e6i 0.652887 + 1.22952i
\(520\) −1.53063e6 4.08065e6i −0.248234 0.661791i
\(521\) 6.03385e6i 0.973868i −0.873439 0.486934i \(-0.838115\pi\)
0.873439 0.486934i \(-0.161885\pi\)
\(522\) 267881. 60816.3i 0.0430294 0.00976885i
\(523\) 1.21106e6i 0.193603i −0.995304 0.0968013i \(-0.969139\pi\)
0.995304 0.0968013i \(-0.0308612\pi\)
\(524\) 7.06863e6 + 3.49243e6i 1.12462 + 0.555648i
\(525\) −2.15355e6 76383.4i −0.341001 0.0120948i
\(526\) −9.18467e6 2.14518e6i −1.44743 0.338065i
\(527\) −245507. 425230.i −0.0385067 0.0666956i
\(528\) −1.04602e6 1.11008e7i −0.163288 1.73288i
\(529\) 2.57683e6 4.46320e6i 0.400356 0.693437i
\(530\) −5.83819e6 + 6.22870e6i −0.902793 + 0.963181i
\(531\) 1.44791e6 2.14155e6i 0.222846 0.329604i
\(532\) 236350. + 3.64776e6i 0.0362057 + 0.558789i
\(533\) 4.59108e6 + 2.65066e6i 0.699997 + 0.404144i
\(534\) −2.44929e6 664435.i −0.371695 0.100832i
\(535\) 6.23092e6 3.59743e6i 0.941170 0.543385i
\(536\) −1.02616e7 1.70601e6i −1.54277 0.256489i
\(537\) −2.24352e6 1.40361e6i −0.335733 0.210044i
\(538\) −4.92198e6 + 1.49106e6i −0.733136 + 0.222095i
\(539\) −1.87075e6 −0.277360
\(540\) −4.53404e6 2.87593e6i −0.669116 0.424418i
\(541\) −4.95265e6 −0.727519 −0.363760 0.931493i \(-0.618507\pi\)
−0.363760 + 0.931493i \(0.618507\pi\)
\(542\) −7.51041e6 + 2.27519e6i −1.09816 + 0.332675i
\(543\) 8.62206e6 + 5.39422e6i 1.25491 + 0.785108i
\(544\) 1.09001e6 1.08590e7i 0.157918 1.57324i
\(545\) 6.69165e6 3.86342e6i 0.965032 0.557161i
\(546\) −5.49855e6 1.49163e6i −0.789345 0.214131i
\(547\) −381241. 220109.i −0.0544792 0.0314536i 0.472513 0.881324i \(-0.343347\pi\)
−0.526992 + 0.849870i \(0.676680\pi\)
\(548\) −3.27635e6 + 212285.i −0.466056 + 0.0301972i
\(549\) −2.65199e6 188361.i −0.375526 0.0266723i
\(550\) 3.14259e6 3.35280e6i 0.442977 0.472607i
\(551\) 96023.5 166318.i 0.0134741 0.0233378i
\(552\) −2.11641e6 + 2.39465e6i −0.295633 + 0.334498i
\(553\) −882310. 1.52821e6i −0.122690 0.212505i
\(554\) 5.95190e6 + 1.39013e6i 0.823913 + 0.192434i
\(555\) −7.68495e6 272575.i −1.05903 0.0375624i
\(556\) 3.17937e6 6.43500e6i 0.436168 0.882799i
\(557\) 2.77476e6i 0.378955i 0.981885 + 0.189477i \(0.0606794\pi\)
−0.981885 + 0.189477i \(0.939321\pi\)
\(558\) −105990. + 342207.i −0.0144106 + 0.0465269i
\(559\) 3.32893e6i 0.450583i
\(560\) 2.07065e6 4.97795e6i 0.279021 0.670780i
\(561\) 9.62120e6 + 1.81188e7i 1.29069 + 2.43064i
\(562\) −505991. + 2.16641e6i −0.0675774 + 0.289335i
\(563\) 1.99125e6 + 3.44895e6i 0.264762 + 0.458581i 0.967501 0.252867i \(-0.0813734\pi\)
−0.702740 + 0.711447i \(0.748040\pi\)
\(564\) −278975. + 517590.i −0.0369290 + 0.0685154i
\(565\) −2.02340e6 + 3.50464e6i −0.266662 + 0.461872i
\(566\) 1.18634e6 + 1.11196e6i 0.155656 + 0.145897i
\(567\) −6.51349e6 + 2.61505e6i −0.850856 + 0.341604i
\(568\) 9.91219e6 + 8.15334e6i 1.28914 + 1.06039i
\(569\) −6.64391e6 3.83587e6i −0.860287 0.496687i 0.00382141 0.999993i \(-0.498784\pi\)
−0.864108 + 0.503306i \(0.832117\pi\)
\(570\) −3.62883e6 + 960285.i −0.467821 + 0.123798i
\(571\) −4.95051e6 + 2.85818e6i −0.635418 + 0.366859i −0.782847 0.622214i \(-0.786234\pi\)
0.147429 + 0.989073i \(0.452900\pi\)
\(572\) 1.01070e7 6.74234e6i 1.29161 0.861629i
\(573\) 3.60438e6 1.91395e6i 0.458611 0.243526i
\(574\) 1.90135e6 + 6.27636e6i 0.240870 + 0.795112i
\(575\) −1.31714e6 −0.166136
\(576\) −6.35431e6 + 4.79856e6i −0.798017 + 0.602635i
\(577\) −9.39744e6 −1.17509 −0.587544 0.809192i \(-0.699905\pi\)
−0.587544 + 0.809192i \(0.699905\pi\)
\(578\) 3.49305e6 + 1.15305e7i 0.434896 + 1.43559i
\(579\) −503968. + 1.42088e7i −0.0624750 + 1.76142i
\(580\) −235634. + 157191.i −0.0290850 + 0.0194025i
\(581\) −247183. + 142711.i −0.0303794 + 0.0175395i
\(582\) 9.78873e6 + 9.84965e6i 1.19789 + 1.20535i
\(583\) −2.06102e7 1.18993e7i −2.51137 1.44994i
\(584\) −2.59356e6 2.13335e6i −0.314676 0.258839i
\(585\) 414499. 5.83583e6i 0.0500765 0.705039i
\(586\) 7.41416e6 + 6.94932e6i 0.891904 + 0.835985i
\(587\) 7.92251e6 1.37222e7i 0.949002 1.64372i 0.201471 0.979495i \(-0.435428\pi\)
0.747532 0.664226i \(-0.231239\pi\)
\(588\) 701537. + 1.13696e6i 0.0836772 + 0.135613i
\(589\) 125229. + 216902.i 0.0148736 + 0.0257618i
\(590\) −606265. + 2.59574e6i −0.0717022 + 0.306995i
\(591\) 1.16955e6 1.86939e6i 0.137737 0.220157i
\(592\) −4.37988e6 + 1.05294e7i −0.513639 + 1.23481i
\(593\) 945465.i 0.110410i −0.998475 0.0552050i \(-0.982419\pi\)
0.998475 0.0552050i \(-0.0175812\pi\)
\(594\) 4.93235e6 1.41317e7i 0.573572 1.64334i
\(595\) 9.91969e6i 1.14870i
\(596\) 454948. 920809.i 0.0524622 0.106183i
\(597\) 4.69674e6 7.50721e6i 0.539338 0.862071i
\(598\) −3.39109e6 792026.i −0.387780 0.0905705i
\(599\) 3.63749e6 + 6.30031e6i 0.414223 + 0.717455i 0.995347 0.0963599i \(-0.0307200\pi\)
−0.581123 + 0.813815i \(0.697387\pi\)
\(600\) −3.21616e6 652615.i −0.364720 0.0740081i
\(601\) −2.93990e6 + 5.09206e6i −0.332007 + 0.575053i −0.982905 0.184112i \(-0.941059\pi\)
0.650898 + 0.759165i \(0.274392\pi\)
\(602\) −2.81621e6 + 3.00459e6i −0.316719 + 0.337904i
\(603\) −1.15683e7 7.82134e6i −1.29561 0.875967i
\(604\) −2.42686e6 + 157244.i −0.270677 + 0.0175380i
\(605\) −1.25385e7 7.23908e6i −1.39269 0.804072i
\(606\) −3.46831e6 + 3.44686e6i −0.383651 + 0.381278i
\(607\) 3.03686e6 1.75333e6i 0.334544 0.193149i −0.323313 0.946292i \(-0.604797\pi\)
0.657857 + 0.753143i \(0.271463\pi\)
\(608\) −555994. + 5.53901e6i −0.0609973 + 0.607677i
\(609\) −13125.0 + 370046.i −0.00143403 + 0.0404309i
\(610\) 2.62373e6 794828.i 0.285492 0.0864866i
\(611\) −640694. −0.0694300
\(612\) 7.40379e6 1.26419e7i 0.799053 1.36438i
\(613\) 1.60744e7 1.72776 0.863880 0.503697i \(-0.168027\pi\)
0.863880 + 0.503697i \(0.168027\pi\)
\(614\) 6.15023e6 1.86314e6i 0.658371 0.199446i
\(615\) −5.94789e6 + 3.15837e6i −0.634125 + 0.336725i
\(616\) 1.48261e7 + 2.46487e6i 1.57426 + 0.261724i
\(617\) 5.66445e6 3.27037e6i 0.599024 0.345847i −0.169633 0.985507i \(-0.554258\pi\)
0.768658 + 0.639660i \(0.220925\pi\)
\(618\) −2.59762e6 9.81618e6i −0.273593 1.03388i
\(619\) 9.47481e6 + 5.47028e6i 0.993903 + 0.573830i 0.906439 0.422338i \(-0.138790\pi\)
0.0874641 + 0.996168i \(0.472124\pi\)
\(620\) −23884.7 368631.i −0.00249541 0.0385135i
\(621\) −3.92208e6 + 1.73851e6i −0.408120 + 0.180904i
\(622\) 1.36558e6 1.45693e6i 0.141528 0.150995i
\(623\) 1.71042e6 2.96254e6i 0.176556 0.305805i
\(624\) −7.88784e6 3.61416e6i −0.810955 0.371575i
\(625\) 2.38940e6 + 4.13856e6i 0.244674 + 0.423788i
\(626\) −753411. 175968.i −0.0768415 0.0179472i
\(627\) −4.90760e6 9.24206e6i −0.498541 0.938858i
\(628\) 1.46714e7 + 7.24878e6i 1.48448 + 0.733443i
\(629\) 2.09823e7i 2.11459i
\(630\) 5.31111e6 4.91658e6i 0.533131 0.493528i
\(631\) 1.64472e7i 1.64444i −0.569168 0.822221i \(-0.692735\pi\)
0.569168 0.822221i \(-0.307265\pi\)
\(632\) −943798. 2.51616e6i −0.0939910 0.250580i
\(633\) −7.10923e6 252154.i −0.705201 0.0250125i
\(634\) −906135. + 3.87965e6i −0.0895302 + 0.383327i
\(635\) 4.17196e6 + 7.22604e6i 0.410587 + 0.711158i
\(636\) 497029. + 1.69882e7i 0.0487235 + 1.66535i
\(637\) −727867. + 1.26070e6i −0.0710728 + 0.123102i
\(638\) −576115. 539994.i −0.0560347 0.0525216i
\(639\) 7.53584e6 + 1.54938e7i 0.730095 + 1.50108i
\(640\) 4.35399e6 6.96113e6i 0.420182 0.671784i
\(641\) −6.01469e6 3.47258e6i −0.578187 0.333816i 0.182226 0.983257i \(-0.441670\pi\)
−0.760413 + 0.649440i \(0.775003\pi\)
\(642\) 3.75009e6 1.38238e7i 0.359091 1.32370i
\(643\) 1.22490e7 7.07195e6i 1.16835 0.674546i 0.215057 0.976601i \(-0.431006\pi\)
0.953290 + 0.302055i \(0.0976728\pi\)
\(644\) −2.39065e6 3.58365e6i −0.227144 0.340495i
\(645\) −3.58504e6 2.24291e6i −0.339309 0.212282i
\(646\) −2.96956e6 9.80250e6i −0.279969 0.924178i
\(647\) −1.06848e7 −1.00347 −0.501736 0.865021i \(-0.667305\pi\)
−0.501736 + 0.865021i \(0.667305\pi\)
\(648\) −1.04382e7 + 2.30175e6i −0.976539 + 0.215338i
\(649\) −7.43086e6 −0.692512
\(650\) −1.03675e6 3.42230e6i −0.0962476 0.317713i
\(651\) −409380. 256121.i −0.0378595 0.0236860i
\(652\) 3.66623e6 + 5.49579e6i 0.337755 + 0.506304i
\(653\) 7.15281e6 4.12968e6i 0.656438 0.378995i −0.134480 0.990916i \(-0.542936\pi\)
0.790919 + 0.611921i \(0.209603\pi\)
\(654\) 4.02738e6 1.48460e7i 0.368195 1.35727i
\(655\) −9.45143e6 5.45678e6i −0.860784 0.496974i
\(656\) 1.28880e6 + 9.90376e6i 0.116930 + 0.898546i
\(657\) −1.97178e6 4.05400e6i −0.178215 0.366412i
\(658\) −578270. 542014.i −0.0520674 0.0488030i
\(659\) 1.13554e6 1.96681e6i 0.101856 0.176420i −0.810593 0.585610i \(-0.800855\pi\)
0.912450 + 0.409189i \(0.134188\pi\)
\(660\) 451360. + 1.54273e7i 0.0403332 + 1.37857i
\(661\) 6.82941e6 + 1.18289e7i 0.607967 + 1.05303i 0.991575 + 0.129533i \(0.0413480\pi\)
−0.383608 + 0.923496i \(0.625319\pi\)
\(662\) 1.79943e6 7.70432e6i 0.159584 0.683265i
\(663\) 1.59537e7 + 565856.i 1.40954 + 0.0499944i
\(664\) −406983. + 152657.i −0.0358225 + 0.0134368i
\(665\) 5.05986e6i 0.443695i
\(666\) −1.12342e7 + 1.03996e7i −0.981420 + 0.908515i
\(667\) 226326.i 0.0196979i
\(668\) −9.23718e6 4.56385e6i −0.800936 0.395722i
\(669\) −890850. 1.67766e6i −0.0769555 0.144923i
\(670\) 1.40218e7 + 3.27494e6i 1.20674 + 0.281849i
\(671\) 3.82118e6 + 6.61848e6i 0.327636 + 0.567482i
\(672\) −4.06180e6 9.93499e6i −0.346973 0.848681i
\(673\) −5.08153e6 + 8.80146e6i −0.432471 + 0.749061i −0.997085 0.0762934i \(-0.975691\pi\)
0.564615 + 0.825355i \(0.309025\pi\)
\(674\) 4.37505e6 4.66770e6i 0.370966 0.395779i
\(675\) −3.55975e6 2.59525e6i −0.300719 0.219240i
\(676\) 156935. + 2.42210e6i 0.0132085 + 0.203857i
\(677\) 2.00175e7 + 1.15571e7i 1.67856 + 0.969120i 0.962578 + 0.271006i \(0.0873564\pi\)
0.715987 + 0.698113i \(0.245977\pi\)
\(678\) 2.06099e6 + 7.78827e6i 0.172187 + 0.650679i
\(679\) −1.62105e7 + 9.35916e6i −1.34935 + 0.779045i
\(680\) −2.47752e6 + 1.49022e7i −0.205469 + 1.23588i
\(681\) −1.75897e6 + 934025.i −0.145342 + 0.0771775i
\(682\) 985550. 298561.i 0.0811368 0.0245795i
\(683\) 5.18871e6 0.425606 0.212803 0.977095i \(-0.431741\pi\)
0.212803 + 0.977095i \(0.431741\pi\)
\(684\) −3.77654e6 + 6.44843e6i −0.308641 + 0.527004i
\(685\) 4.54466e6 0.370062
\(686\) −1.25391e7 + 3.79858e6i −1.01732 + 0.308185i
\(687\) 214826. 6.05680e6i 0.0173658 0.489611i
\(688\) −4.98117e6 + 3.81037e6i −0.401199 + 0.306900i
\(689\) −1.60379e7 + 9.25951e6i −1.28707 + 0.743088i
\(690\) 3.13775e6 3.11834e6i 0.250897 0.249345i
\(691\) 1.57664e6 + 910275.i 0.125614 + 0.0725233i 0.561490 0.827483i \(-0.310228\pi\)
−0.435876 + 0.900007i \(0.643562\pi\)
\(692\) −1.74997e7 + 1.13386e6i −1.38920 + 0.0900108i
\(693\) 1.67141e7 + 1.13004e7i 1.32205 + 0.893843i
\(694\) −5.18072e6 + 5.52726e6i −0.408311 + 0.435623i
\(695\) −4.96764e6 + 8.60420e6i −0.390111 + 0.675691i
\(696\) −112140. + 552637.i −0.00877477 + 0.0432431i
\(697\) −9.18777e6 1.59137e7i −0.716355 1.24076i
\(698\) 1.09857e7 + 2.56583e6i 0.853469 + 0.199337i
\(699\) 1.21829e6 1.94730e6i 0.0943102 0.150744i
\(700\) 1.95947e6 3.96593e6i 0.151145 0.305914i
\(701\) 1.38877e7i 1.06742i −0.845667 0.533711i \(-0.820797\pi\)
0.845667 0.533711i \(-0.179203\pi\)
\(702\) −7.60430e6 8.82225e6i −0.582393 0.675673i
\(703\) 1.07027e7i 0.816779i
\(704\) 2.16574e7 + 7.40588e6i 1.64693 + 0.563177i
\(705\) 431676. 689985.i 0.0327103 0.0522838i
\(706\) 2.33793e6 1.00099e7i 0.176530 0.755820i
\(707\) −3.29560e6 5.70814e6i −0.247962 0.429483i
\(708\) 2.78660e6 + 4.51615e6i 0.208925 + 0.338598i
\(709\) −2.24469e6 + 3.88792e6i −0.167703 + 0.290470i −0.937612 0.347684i \(-0.886968\pi\)
0.769909 + 0.638154i \(0.220302\pi\)
\(710\) −1.29621e7 1.21494e7i −0.965006 0.904504i
\(711\) 255584. 3.59842e6i 0.0189609 0.266955i
\(712\) 3.30946e6 4.02338e6i 0.244657 0.297434i
\(713\) −255617. 147581.i −0.0188307 0.0108719i
\(714\) 1.39206e7 + 1.40072e7i 1.02191 + 1.02827i
\(715\) −1.45643e7 + 8.40871e6i −1.06543 + 0.615126i
\(716\) 4.51926e6 3.01479e6i 0.329446 0.219773i
\(717\) −206097. + 5.81067e6i −0.0149718 + 0.422113i
\(718\) −1.91295e6 6.31466e6i −0.138482 0.457129i
\(719\) 603305. 0.0435226 0.0217613 0.999763i \(-0.493073\pi\)
0.0217613 + 0.999763i \(0.493073\pi\)
\(720\) 9.20676e6 6.05960e6i 0.661874 0.435625i
\(721\) 1.36872e7 0.980564
\(722\) −2.54627e6 8.40523e6i −0.181787 0.600077i
\(723\) −8.06657e6 + 4.28341e6i −0.573909 + 0.304750i
\(724\) −1.73680e7 + 1.15861e7i −1.23141 + 0.821472i
\(725\) −201269. + 116203.i −0.0142210 + 0.00821052i
\(726\) −2.78639e7 + 7.37354e6i −1.96201 + 0.519200i
\(727\) 1.84417e7 + 1.06473e7i 1.29409 + 0.747144i 0.979377 0.202043i \(-0.0647579\pi\)
0.314714 + 0.949186i \(0.398091\pi\)
\(728\) 7.42961e6 9.03234e6i 0.519562 0.631643i
\(729\) −1.40255e7 3.02937e6i −0.977460 0.211122i
\(730\) 3.39158e6 + 3.17894e6i 0.235556 + 0.220788i
\(731\) 5.76941e6 9.99291e6i 0.399335 0.691669i
\(732\) 2.58946e6 4.80430e6i 0.178621 0.331400i
\(733\) −4.21399e6 7.29884e6i −0.289690 0.501758i 0.684046 0.729439i \(-0.260219\pi\)
−0.973736 + 0.227682i \(0.926885\pi\)
\(734\) −2.11834e6 + 9.06976e6i −0.145130 + 0.621378i
\(735\) −867285. 1.63328e6i −0.0592166 0.111517i
\(736\) −2.69639e6 5.98075e6i −0.183480 0.406968i
\(737\) 4.01402e7i 2.72214i
\(738\) −3.96656e6 + 1.28067e7i −0.268085 + 0.865557i
\(739\) 1.72623e7i 1.16275i −0.813635 0.581376i \(-0.802514\pi\)
0.813635 0.581376i \(-0.197486\pi\)
\(740\) 6.99237e6 1.41524e7i 0.469402 0.950063i
\(741\) −8.13770e6 288633.i −0.544447 0.0193108i
\(742\) −2.23087e7 5.21045e6i −1.48753 0.347428i
\(743\) −8.79333e6 1.52305e7i −0.584361 1.01214i −0.994955 0.100324i \(-0.968012\pi\)
0.410594 0.911818i \(1.63468\pi\)
\(744\) −551037. 487012.i −0.0364963 0.0322558i
\(745\) −710838. + 1.23121e6i −0.0469224 + 0.0812719i
\(746\) 7.53395e6 8.03789e6i 0.495651 0.528805i
\(747\) −582036. 41340.0i −0.0381635 0.00271062i
\(748\) −4.20247e7 + 2.72291e6i −2.74632 + 0.177942i
\(749\) 1.67206e7 + 9.65367e6i 1.08905 + 0.628764i
\(750\) 1.61645e7 + 4.38507e6i 1.04932 + 0.284658i
\(751\) 1.82336e7 1.05272e7i 1.17970 0.681101i 0.223756 0.974645i \(-0.428168\pi\)
0.955945 + 0.293544i \(0.0948349\pi\)
\(752\) −733353. 958687.i −0.0472899 0.0618205i
\(753\) 9.42708e6 + 5.89787e6i 0.605885 + 0.379060i
\(754\) −588058. + 178146.i −0.0376697 + 0.0114116i
\(755\) 3.36632e6 0.214926
\(756\) 600055. 1.43958e7i 0.0381844 0.916074i
\(757\) −7.12325e6 −0.451792 −0.225896 0.974151i \(-0.572531\pi\)
−0.225896 + 0.974151i \(0.572531\pi\)
\(758\) 2.55535e7 7.74114e6i 1.61539 0.489364i
\(759\) 1.04546e7 + 6.54069e6i 0.658720 + 0.412116i
\(760\) 1.26374e6 7.60134e6i 0.0793640 0.477371i
\(761\) −4.12690e6 + 2.38267e6i −0.258323 + 0.149143i −0.623569