Properties

Label 36.6.h.a.11.17
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 11.17
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.72594 + 5.38713i) q^{2} +(-3.10718 - 15.2756i) q^{3} +(-26.0423 + 18.5957i) q^{4} +(-20.1454 + 11.6310i) q^{5} +(76.9290 - 43.1036i) q^{6} +(-156.832 - 90.5473i) q^{7} +(-145.125 - 108.198i) q^{8} +(-223.691 + 94.9283i) q^{9} +O(q^{10})\) \(q+(1.72594 + 5.38713i) q^{2} +(-3.10718 - 15.2756i) q^{3} +(-26.0423 + 18.5957i) q^{4} +(-20.1454 + 11.6310i) q^{5} +(76.9290 - 43.1036i) q^{6} +(-156.832 - 90.5473i) q^{7} +(-145.125 - 108.198i) q^{8} +(-223.691 + 94.9283i) q^{9} +(-97.4272 - 88.4515i) q^{10} +(41.2642 - 71.4718i) q^{11} +(364.980 + 340.032i) q^{12} +(-70.1922 - 121.577i) q^{13} +(217.106 - 1001.16i) q^{14} +(240.266 + 271.595i) q^{15} +(332.398 - 968.549i) q^{16} -901.814i q^{17} +(-897.468 - 1041.21i) q^{18} +2363.52i q^{19} +(308.346 - 677.515i) q^{20} +(-895.862 + 2677.06i) q^{21} +(456.247 + 98.9396i) q^{22} +(160.190 + 277.458i) q^{23} +(-1201.86 + 2553.07i) q^{24} +(-1291.94 + 2237.71i) q^{25} +(533.800 - 587.968i) q^{26} +(2145.14 + 3122.06i) q^{27} +(5768.06 - 558.359i) q^{28} +(-7037.98 - 4063.38i) q^{29} +(-1048.43 + 1763.10i) q^{30} +(1533.72 - 885.495i) q^{31} +(5791.40 + 119.010i) q^{32} +(-1219.99 - 408.263i) q^{33} +(4858.19 - 1556.48i) q^{34} +4212.61 q^{35} +(4060.15 - 6631.84i) q^{36} +13713.9 q^{37} +(-12732.6 + 4079.30i) q^{38} +(-1639.06 + 1449.99i) q^{39} +(4182.05 + 491.747i) q^{40} +(-4374.37 + 2525.55i) q^{41} +(-15967.9 - 205.665i) q^{42} +(-17261.6 - 9966.01i) q^{43} +(254.456 + 2628.62i) q^{44} +(3402.24 - 4514.11i) q^{45} +(-1218.22 + 1341.84i) q^{46} +(6620.98 - 11467.9i) q^{47} +(-15828.0 - 2068.14i) q^{48} +(7994.11 + 13846.2i) q^{49} +(-14284.6 - 3097.70i) q^{50} +(-13775.8 + 2802.10i) q^{51} +(4088.77 + 1860.85i) q^{52} -25022.9i q^{53} +(-13116.6 + 16944.6i) q^{54} +1919.77i q^{55} +(12963.3 + 30109.6i) q^{56} +(36104.4 - 7343.89i) q^{57} +(9742.80 - 44927.6i) q^{58} +(-20189.4 - 34969.0i) q^{59} +(-11307.6 - 2605.02i) q^{60} +(-8934.10 + 15474.3i) q^{61} +(7417.39 + 6734.04i) q^{62} +(43677.5 + 5366.75i) q^{63} +(9354.49 + 31404.4i) q^{64} +(2828.10 + 1632.81i) q^{65} +(93.7257 - 7276.89i) q^{66} +(-29089.1 + 16794.6i) q^{67} +(16769.9 + 23485.3i) q^{68} +(3740.61 - 3309.12i) q^{69} +(7270.71 + 22693.8i) q^{70} +55855.2 q^{71} +(42734.2 + 10426.4i) q^{72} -69860.7 q^{73} +(23669.4 + 73878.5i) q^{74} +(38196.7 + 12782.3i) q^{75} +(-43951.5 - 61551.5i) q^{76} +(-12943.1 + 7472.73i) q^{77} +(-10640.2 - 6327.22i) q^{78} +(-33076.3 - 19096.6i) q^{79} +(4568.86 + 23377.9i) q^{80} +(41026.2 - 42469.2i) q^{81} +(-21155.4 - 19206.4i) q^{82} +(-11121.7 + 19263.4i) q^{83} +(-26451.7 - 86376.0i) q^{84} +(10489.0 + 18167.4i) q^{85} +(23895.6 - 110191. i) q^{86} +(-40202.5 + 120135. i) q^{87} +(-13721.6 + 5907.63i) q^{88} +98921.0i q^{89} +(30190.1 + 10537.2i) q^{90} +25422.9i q^{91} +(-9331.24 - 4246.77i) q^{92} +(-18292.1 - 20677.2i) q^{93} +(73206.3 + 15875.2i) q^{94} +(-27490.1 - 47614.2i) q^{95} +(-16176.9 - 88837.1i) q^{96} +(-20762.4 + 35961.6i) q^{97} +(-60793.9 + 66963.0i) q^{98} +(-2445.74 + 19904.7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.72594 + 5.38713i 0.305106 + 0.952318i
\(3\) −3.10718 15.2756i −0.199326 0.979933i
\(4\) −26.0423 + 18.5957i −0.813820 + 0.581116i
\(5\) −20.1454 + 11.6310i −0.360372 + 0.208061i −0.669244 0.743043i \(-0.733382\pi\)
0.308872 + 0.951104i \(0.400049\pi\)
\(6\) 76.9290 43.1036i 0.872393 0.488805i
\(7\) −156.832 90.5473i −1.20974 0.698442i −0.247035 0.969007i \(-0.579456\pi\)
−0.962702 + 0.270565i \(0.912790\pi\)
\(8\) −145.125 108.198i −0.801710 0.597714i
\(9\) −223.691 + 94.9283i −0.920539 + 0.390652i
\(10\) −97.4272 88.4515i −0.308092 0.279708i
\(11\) 41.2642 71.4718i 0.102823 0.178095i −0.810023 0.586398i \(-0.800546\pi\)
0.912847 + 0.408302i \(0.133879\pi\)
\(12\) 364.980 + 340.032i 0.731671 + 0.681658i
\(13\) −70.1922 121.577i −0.115194 0.199522i 0.802663 0.596433i \(-0.203416\pi\)
−0.917857 + 0.396910i \(0.870082\pi\)
\(14\) 217.106 1001.16i 0.296041 1.36515i
\(15\) 240.266 + 271.595i 0.275717 + 0.311669i
\(16\) 332.398 968.549i 0.324607 0.945849i
\(17\) 901.814i 0.756824i −0.925637 0.378412i \(-0.876470\pi\)
0.925637 0.378412i \(-0.123530\pi\)
\(18\) −897.468 1041.21i −0.652887 0.757456i
\(19\) 2363.52i 1.50202i 0.660290 + 0.751011i \(0.270433\pi\)
−0.660290 + 0.751011i \(0.729567\pi\)
\(20\) 308.346 677.515i 0.172371 0.378742i
\(21\) −895.862 + 2677.06i −0.443295 + 1.32468i
\(22\) 456.247 + 98.9396i 0.200976 + 0.0435826i
\(23\) 160.190 + 277.458i 0.0631417 + 0.109365i 0.895868 0.444320i \(-0.146555\pi\)
−0.832726 + 0.553685i \(0.813221\pi\)
\(24\) −1201.86 + 2553.07i −0.425919 + 0.904762i
\(25\) −1291.94 + 2237.71i −0.413421 + 0.716067i
\(26\) 533.800 587.968i 0.154862 0.170577i
\(27\) 2145.14 + 3122.06i 0.566299 + 0.824200i
\(28\) 5768.06 558.359i 1.39038 0.134592i
\(29\) −7037.98 4063.38i −1.55401 0.897207i −0.997809 0.0661569i \(-0.978926\pi\)
−0.556198 0.831050i \(-0.687740\pi\)
\(30\) −1048.43 + 1763.10i −0.212685 + 0.357663i
\(31\) 1533.72 885.495i 0.286644 0.165494i −0.349784 0.936831i \(-0.613745\pi\)
0.636427 + 0.771337i \(0.280412\pi\)
\(32\) 5791.40 + 119.010i 0.999789 + 0.0205452i
\(33\) −1219.99 408.263i −0.195017 0.0652611i
\(34\) 4858.19 1556.48i 0.720737 0.230912i
\(35\) 4212.61 0.581274
\(36\) 4060.15 6631.84i 0.522139 0.852860i
\(37\) 13713.9 1.64686 0.823429 0.567419i \(-0.192058\pi\)
0.823429 + 0.567419i \(0.192058\pi\)
\(38\) −12732.6 + 4079.30i −1.43040 + 0.458276i
\(39\) −1639.06 + 1449.99i −0.172557 + 0.152653i
\(40\) 4182.05 + 491.747i 0.413275 + 0.0485950i
\(41\) −4374.37 + 2525.55i −0.406402 + 0.234637i −0.689243 0.724530i \(-0.742057\pi\)
0.282840 + 0.959167i \(0.408723\pi\)
\(42\) −15967.9 205.665i −1.39677 0.0179902i
\(43\) −17261.6 9966.01i −1.42367 0.821959i −0.427064 0.904221i \(-0.640452\pi\)
−0.996611 + 0.0822625i \(0.973785\pi\)
\(44\) 254.456 + 2628.62i 0.0198144 + 0.204690i
\(45\) 3402.24 4514.11i 0.250457 0.332308i
\(46\) −1218.22 + 1341.84i −0.0848851 + 0.0934989i
\(47\) 6620.98 11467.9i 0.437197 0.757248i −0.560275 0.828307i \(-0.689304\pi\)
0.997472 + 0.0710587i \(0.0226378\pi\)
\(48\) −15828.0 2068.14i −0.991571 0.129562i
\(49\) 7994.11 + 13846.2i 0.475642 + 0.823836i
\(50\) −14284.6 3097.70i −0.808061 0.175232i
\(51\) −13775.8 + 2802.10i −0.741637 + 0.150854i
\(52\) 4088.77 + 1860.85i 0.209693 + 0.0954340i
\(53\) 25022.9i 1.22362i −0.791003 0.611812i \(-0.790441\pi\)
0.791003 0.611812i \(-0.209559\pi\)
\(54\) −13116.6 + 16944.6i −0.612119 + 0.790766i
\(55\) 1919.77i 0.0855742i
\(56\) 12963.3 + 30109.6i 0.552389 + 1.28302i
\(57\) 36104.4 7343.89i 1.47188 0.299391i
\(58\) 9742.80 44927.6i 0.380289 1.75365i
\(59\) −20189.4 34969.0i −0.755079 1.30784i −0.945335 0.326101i \(-0.894265\pi\)
0.190256 0.981735i \(1.56093\pi\)
\(60\) −11307.6 2605.02i −0.405500 0.0934186i
\(61\) −8934.10 + 15474.3i −0.307416 + 0.532460i −0.977796 0.209558i \(-0.932798\pi\)
0.670381 + 0.742017i \(0.266131\pi\)
\(62\) 7417.39 + 6734.04i 0.245060 + 0.222483i
\(63\) 43677.5 + 5366.75i 1.38646 + 0.170357i
\(64\) 9354.49 + 31404.4i 0.285476 + 0.958386i
\(65\) 2828.10 + 1632.81i 0.0830256 + 0.0479348i
\(66\) 93.7257 7276.89i 0.00264849 0.205630i
\(67\) −29089.1 + 16794.6i −0.791668 + 0.457070i −0.840549 0.541735i \(-0.817768\pi\)
0.0488814 + 0.998805i \(0.484434\pi\)
\(68\) 16769.9 + 23485.3i 0.439803 + 0.615919i
\(69\) 3740.61 3309.12i 0.0945844 0.0836739i
\(70\) 7270.71 + 22693.8i 0.177350 + 0.553558i
\(71\) 55855.2 1.31498 0.657488 0.753465i \(-0.271619\pi\)
0.657488 + 0.753465i \(0.271619\pi\)
\(72\) 42734.2 + 10426.4i 0.971502 + 0.237030i
\(73\) −69860.7 −1.53435 −0.767177 0.641435i \(-0.778339\pi\)
−0.767177 + 0.641435i \(0.778339\pi\)
\(74\) 23669.4 + 73878.5i 0.502467 + 1.56833i
\(75\) 38196.7 + 12782.3i 0.784103 + 0.262395i
\(76\) −43951.5 61551.5i −0.872849 1.22238i
\(77\) −12943.1 + 7472.73i −0.248779 + 0.143632i
\(78\) −10640.2 6327.22i −0.198022 0.117754i
\(79\) −33076.3 19096.6i −0.596278 0.344261i 0.171298 0.985219i \(-0.445204\pi\)
−0.767576 + 0.640958i \(0.778537\pi\)
\(80\) 4568.86 + 23377.9i 0.0798148 + 0.408396i
\(81\) 41026.2 42469.2i 0.694783 0.719220i
\(82\) −21155.4 19206.4i −0.347445 0.315435i
\(83\) −11121.7 + 19263.4i −0.177205 + 0.306929i −0.940922 0.338623i \(-0.890039\pi\)
0.763717 + 0.645551i \(0.223372\pi\)
\(84\) −26451.7 86376.0i −0.409030 1.33566i
\(85\) 10489.0 + 18167.4i 0.157465 + 0.272738i
\(86\) 23895.6 110191.i 0.348395 1.60658i
\(87\) −40202.5 + 120135.i −0.569449 + 1.70166i
\(88\) −13721.6 + 5907.63i −0.188885 + 0.0813218i
\(89\) 98921.0i 1.32377i 0.749604 + 0.661886i \(0.230244\pi\)
−0.749604 + 0.661886i \(0.769756\pi\)
\(90\) 30190.1 + 10537.2i 0.392879 + 0.137126i
\(91\) 25422.9i 0.321826i
\(92\) −9331.24 4246.77i −0.114940 0.0523105i
\(93\) −18292.1 20677.2i −0.219308 0.247905i
\(94\) 73206.3 + 15875.2i 0.854533 + 0.185310i
\(95\) −27490.1 47614.2i −0.312512 0.541287i
\(96\) −16176.9 88837.1i −0.179151 0.983822i
\(97\) −20762.4 + 35961.6i −0.224052 + 0.388069i −0.956035 0.293254i \(-0.905262\pi\)
0.731983 + 0.681323i \(0.238595\pi\)
\(98\) −60793.9 + 66963.0i −0.639433 + 0.704320i
\(99\) −2445.74 + 19904.7i −0.0250797 + 0.204112i
\(100\) −7966.74 82299.6i −0.0796674 0.822996i
\(101\) −100768. 58178.3i −0.982920 0.567489i −0.0797694 0.996813i \(-0.525418\pi\)
−0.903150 + 0.429324i \(0.858752\pi\)
\(102\) −38871.5 69375.7i −0.369939 0.660248i
\(103\) 34298.4 19802.2i 0.318552 0.183916i −0.332195 0.943211i \(-0.607789\pi\)
0.650747 + 0.759295i \(0.274456\pi\)
\(104\) −2967.67 + 25238.4i −0.0269049 + 0.228812i
\(105\) −13089.3 64350.3i −0.115863 0.569610i
\(106\) 134802. 43188.1i 1.16528 0.373335i
\(107\) 82118.9 0.693400 0.346700 0.937976i \(-0.387302\pi\)
0.346700 + 0.937976i \(0.387302\pi\)
\(108\) −113921. 41415.2i −0.939822 0.341665i
\(109\) −48617.2 −0.391944 −0.195972 0.980610i \(-0.562786\pi\)
−0.195972 + 0.980610i \(0.562786\pi\)
\(110\) −10342.0 + 3313.41i −0.0814938 + 0.0261092i
\(111\) −42611.5 209489.i −0.328261 1.61381i
\(112\) −139830. + 121802.i −1.05331 + 0.917509i
\(113\) 14619.7 8440.70i 0.107707 0.0621845i −0.445179 0.895442i \(-0.646860\pi\)
0.552886 + 0.833257i \(0.313527\pi\)
\(114\) 101877. + 181824.i 0.734196 + 1.31035i
\(115\) −6454.20 3726.33i −0.0455090 0.0262747i
\(116\) 258846. 25056.8i 1.78606 0.172894i
\(117\) 27242.4 + 20532.3i 0.183984 + 0.138667i
\(118\) 153537. 169117.i 1.01510 1.11810i
\(119\) −81656.8 + 141434.i −0.528597 + 0.915557i
\(120\) −5482.61 65411.4i −0.0347564 0.414668i
\(121\) 77120.0 + 133576.i 0.478855 + 0.829401i
\(122\) −98781.8 21421.4i −0.600865 0.130301i
\(123\) 52171.3 + 58974.1i 0.310935 + 0.351478i
\(124\) −23475.2 + 51580.9i −0.137105 + 0.301256i
\(125\) 132800.i 0.760189i
\(126\) 46473.4 + 244559.i 0.260782 + 1.37233i
\(127\) 45880.3i 0.252416i 0.992004 + 0.126208i \(0.0402807\pi\)
−0.992004 + 0.126208i \(0.959719\pi\)
\(128\) −153034. + 104596.i −0.825588 + 0.564274i
\(129\) −98602.3 + 294649.i −0.521690 + 1.55894i
\(130\) −3914.99 + 18053.5i −0.0203176 + 0.0936920i
\(131\) −11973.3 20738.4i −0.0609588 0.105584i 0.833935 0.551862i \(-0.186082\pi\)
−0.894894 + 0.446278i \(0.852749\pi\)
\(132\) 39363.3 12054.6i 0.196633 0.0602167i
\(133\) 214011. 370677.i 1.04907 1.81705i
\(134\) −140681. 127720.i −0.676819 0.614465i
\(135\) −79527.3 37945.2i −0.375562 0.179194i
\(136\) −97574.3 + 130876.i −0.452364 + 0.606753i
\(137\) 179077. + 103390.i 0.815152 + 0.470628i 0.848742 0.528807i \(-0.177361\pi\)
−0.0335896 + 0.999436i \(0.510694\pi\)
\(138\) 24282.7 + 14439.8i 0.108542 + 0.0645450i
\(139\) 150292. 86771.1i 0.659780 0.380924i −0.132413 0.991195i \(-0.542273\pi\)
0.792193 + 0.610271i \(0.208939\pi\)
\(140\) −109706. + 78336.5i −0.473052 + 0.337788i
\(141\) −195752. 65507.0i −0.829197 0.277485i
\(142\) 96402.9 + 300899.i 0.401207 + 1.25228i
\(143\) −11585.7 −0.0473787
\(144\) 17588.4 + 248210.i 0.0706837 + 0.997499i
\(145\) 189044. 0.746695
\(146\) −120575. 376348.i −0.468141 1.46119i
\(147\) 186671. 165138.i 0.712497 0.630309i
\(148\) −357141. + 255020.i −1.34025 + 0.957017i
\(149\) 195995. 113158.i 0.723234 0.417559i −0.0927081 0.995693i \(-0.529552\pi\)
0.815942 + 0.578134i \(0.196219\pi\)
\(150\) −2934.46 + 227832.i −0.0106488 + 0.826774i
\(151\) 48433.2 + 27962.9i 0.172862 + 0.0998021i 0.583935 0.811801i \(-0.301512\pi\)
−0.411072 + 0.911603i \(0.634846\pi\)
\(152\) 255728. 343006.i 0.897779 1.20418i
\(153\) 85607.7 + 201728.i 0.295654 + 0.696686i
\(154\) −62595.6 56828.9i −0.212688 0.193093i
\(155\) −20598.3 + 35677.3i −0.0688656 + 0.119279i
\(156\) 15721.2 68240.6i 0.0517218 0.224508i
\(157\) −67323.6 116608.i −0.217981 0.377554i 0.736210 0.676754i \(-0.236614\pi\)
−0.954191 + 0.299200i \(0.903280\pi\)
\(158\) 45788.1 211146.i 0.145918 0.672883i
\(159\) −382241. + 77750.6i −1.19907 + 0.243900i
\(160\) −118054. + 64962.0i −0.364571 + 0.200613i
\(161\) 58019.2i 0.176403i
\(162\) 299596. + 147714.i 0.896909 + 0.442216i
\(163\) 93835.4i 0.276629i 0.990388 + 0.138314i \(0.0441685\pi\)
−0.990388 + 0.138314i \(0.955832\pi\)
\(164\) 66954.2 147116.i 0.194387 0.427119i
\(165\) 29325.7 5965.07i 0.0838570 0.0170571i
\(166\) −122970. 26666.6i −0.346360 0.0751100i
\(167\) −67439.6 116809.i −0.187121 0.324104i 0.757168 0.653220i \(-0.226582\pi\)
−0.944289 + 0.329116i \(0.893249\pi\)
\(168\) 419664. 291578.i 1.14717 0.797044i
\(169\) 175793. 304482.i 0.473461 0.820058i
\(170\) −79766.8 + 87861.3i −0.211690 + 0.233171i
\(171\) −224365. 528699.i −0.586767 1.38267i
\(172\) 634857. 61455.3i 1.63627 0.158394i
\(173\) 179808. + 103812.i 0.456767 + 0.263715i 0.710684 0.703511i \(-0.248386\pi\)
−0.253917 + 0.967226i \(0.581719\pi\)
\(174\) −716572. 9229.38i −1.79426 0.0231100i
\(175\) 405237. 233964.i 1.00026 0.577501i
\(176\) −55507.8 63723.5i −0.135074 0.155067i
\(177\) −471442. + 417060.i −1.13109 + 1.00061i
\(178\) −532900. + 170732.i −1.26065 + 0.403891i
\(179\) −525249. −1.22527 −0.612636 0.790365i \(-0.709891\pi\)
−0.612636 + 0.790365i \(0.709891\pi\)
\(180\) −4658.78 + 180825.i −0.0107174 + 0.415984i
\(181\) −825837. −1.87369 −0.936846 0.349743i \(-0.886269\pi\)
−0.936846 + 0.349743i \(0.886269\pi\)
\(182\) −136956. + 43878.4i −0.306481 + 0.0981910i
\(183\) 264140. + 88392.7i 0.583051 + 0.195114i
\(184\) 6772.70 57598.3i 0.0147475 0.125419i
\(185\) −276272. + 159506.i −0.593482 + 0.342647i
\(186\) 79819.7 134229.i 0.169172 0.284489i
\(187\) −64454.3 37212.7i −0.134787 0.0778192i
\(188\) 40828.2 + 421771.i 0.0842492 + 0.870327i
\(189\) −53733.1 683877.i −0.109418 1.39259i
\(190\) 209057. 230272.i 0.420128 0.462761i
\(191\) −187497. + 324754.i −0.371886 + 0.644126i −0.989856 0.142076i \(-0.954622\pi\)
0.617970 + 0.786202i \(0.287955\pi\)
\(192\) 450656. 240475.i 0.882251 0.470778i
\(193\) 238572. + 413219.i 0.461027 + 0.798522i 0.999012 0.0444321i \(-0.0141478\pi\)
−0.537985 + 0.842954i \(0.680814\pi\)
\(194\) −229564. 49782.2i −0.437925 0.0949664i
\(195\) 16154.7 48274.5i 0.0304238 0.0909141i
\(196\) −465665. 211930.i −0.865832 0.394051i
\(197\) 443928.i 0.814979i 0.913210 + 0.407490i \(0.133596\pi\)
−0.913210 + 0.407490i \(0.866404\pi\)
\(198\) −111450. + 21178.9i −0.202031 + 0.0383919i
\(199\) 601252.i 1.07628i 0.842857 + 0.538138i \(0.180872\pi\)
−0.842857 + 0.538138i \(0.819128\pi\)
\(200\) 429608. 184962.i 0.759447 0.326970i
\(201\) 346933. + 392171.i 0.605698 + 0.684676i
\(202\) 139495. 643261.i 0.240535 1.10920i
\(203\) 735856. + 1.27454e6i 1.25329 + 2.17077i
\(204\) 306646. 329144.i 0.515895 0.553746i
\(205\) 58749.1 101756.i 0.0976374 0.169113i
\(206\) 165874. + 150592.i 0.272339 + 0.247249i
\(207\) −62171.7 46858.2i −0.100848 0.0760080i
\(208\) −141085. + 27572.9i −0.226111 + 0.0441899i
\(209\) 168925. + 97529.1i 0.267503 + 0.154443i
\(210\) 324072. 181579.i 0.507099 0.284130i
\(211\) 345252. 199331.i 0.533863 0.308226i −0.208725 0.977974i \(-0.566931\pi\)
0.742588 + 0.669748i \(0.233598\pi\)
\(212\) 465319. + 651653.i 0.711068 + 0.995811i
\(213\) −173552. 853225.i −0.262108 1.28859i
\(214\) 141732. + 442385.i 0.211560 + 0.660337i
\(215\) 463657. 0.684070
\(216\) 26487.2 685189.i 0.0386280 0.999254i
\(217\) −320716. −0.462351
\(218\) −83910.4 261907.i −0.119584 0.373255i
\(219\) 217070. + 1.06717e6i 0.305836 + 1.50357i
\(220\) −35699.5 49995.2i −0.0497286 0.0696420i
\(221\) −109639. + 63300.4i −0.151003 + 0.0871817i
\(222\) 1.05500e6 591118.i 1.43671 0.804993i
\(223\) −290097. 167488.i −0.390644 0.225538i 0.291795 0.956481i \(-0.405747\pi\)
−0.682439 + 0.730942i \(0.739081\pi\)
\(224\) −897503. 543060.i −1.19513 0.723149i
\(225\) 76573.6 623197.i 0.100838 0.820671i
\(226\) 70703.9 + 64190.1i 0.0920815 + 0.0835982i
\(227\) 425099. 736293.i 0.547552 0.948388i −0.450890 0.892580i \(-0.648893\pi\)
0.998442 0.0558079i \(-0.0177734\pi\)
\(228\) −803674. + 862639.i −1.02387 + 1.09898i
\(229\) −204162. 353618.i −0.257268 0.445601i 0.708241 0.705971i \(-0.249489\pi\)
−0.965509 + 0.260370i \(0.916156\pi\)
\(230\) 8934.66 41201.0i 0.0111367 0.0513557i
\(231\) 154367. + 174496.i 0.190338 + 0.215157i
\(232\) 581738. + 1.35119e6i 0.709590 + 1.64815i
\(233\) 677571.i 0.817645i 0.912614 + 0.408823i \(0.134061\pi\)
−0.912614 + 0.408823i \(0.865939\pi\)
\(234\) −63591.4 + 182196.i −0.0759205 + 0.217520i
\(235\) 308033.i 0.363855i
\(236\) 1.17605e6 + 535236.i 1.37450 + 0.625554i
\(237\) −188939. + 564598.i −0.218500 + 0.652933i
\(238\) −902856. 195789.i −1.03318 0.224051i
\(239\) −660239. 1.14357e6i −0.747664 1.29499i −0.948940 0.315458i \(-0.897842\pi\)
0.201275 0.979535i \(1.56451\pi\)
\(240\) 342917. 142432.i 0.384291 0.159617i
\(241\) −418674. + 725165.i −0.464337 + 0.804256i −0.999171 0.0407014i \(-0.987041\pi\)
0.534834 + 0.844957i \(0.320374\pi\)
\(242\) −586485. + 645999.i −0.643752 + 0.709077i
\(243\) −776220. 494743.i −0.843275 0.537482i
\(244\) −55092.0 569122.i −0.0592399 0.611971i
\(245\) −322089. 185958.i −0.342816 0.197925i
\(246\) −227656. + 382839.i −0.239851 + 0.403347i
\(247\) 287349. 165901.i 0.299687 0.173024i
\(248\) −318390. 37437.9i −0.328723 0.0386529i
\(249\) 328818. + 110037.i 0.336091 + 0.112471i
\(250\) 715408. 229204.i 0.723942 0.231938i
\(251\) −1.41641e6 −1.41907 −0.709534 0.704671i \(-0.751095\pi\)
−0.709534 + 0.704671i \(0.751095\pi\)
\(252\) −1.23726e6 + 672452.i −1.22732 + 0.667053i
\(253\) 26440.5 0.0259698
\(254\) −247163. + 79186.7i −0.240380 + 0.0770137i
\(255\) 244928. 216675.i 0.235878 0.208669i
\(256\) −827599. 643888.i −0.789260 0.614059i
\(257\) 887077. 512154.i 0.837777 0.483691i −0.0187311 0.999825i \(-0.505963\pi\)
0.856508 + 0.516134i \(0.172629\pi\)
\(258\) −1.75749e6 22636.3i −1.64378 0.0211718i
\(259\) −2.15078e6 1.24176e6i −1.99227 1.15023i
\(260\) −104013. + 10068.7i −0.0954236 + 0.00923718i
\(261\) 1.96006e6 + 240837.i 1.78102 + 0.218838i
\(262\) 91055.1 100295.i 0.0819504 0.0902664i
\(263\) 841677. 1.45783e6i 0.750337 1.29962i −0.197323 0.980339i \(-0.563225\pi\)
0.947660 0.319283i \(-0.103442\pi\)
\(264\) 132878. + 191250.i 0.117339 + 0.168885i
\(265\) 291040. + 504097.i 0.254588 + 0.440960i
\(266\) 2.36626e6 + 513135.i 2.05049 + 0.444660i
\(267\) 1.51108e6 307365.i 1.29721 0.263862i
\(268\) 445238. 978302.i 0.378665 0.832024i
\(269\) 2.11837e6i 1.78493i −0.451117 0.892465i \(-0.648974\pi\)
0.451117 0.892465i \(-0.351026\pi\)
\(270\) 67156.3 493915.i 0.0560632 0.412328i
\(271\) 596748.i 0.493592i 0.969067 + 0.246796i \(0.0793778\pi\)
−0.969067 + 0.246796i \(0.920622\pi\)
\(272\) −873451. 299761.i −0.715841 0.245671i
\(273\) 388351. 78993.3i 0.315368 0.0641481i
\(274\) −247900. + 1.14316e6i −0.199480 + 0.919876i
\(275\) 106622. + 184675.i 0.0850188 + 0.147257i
\(276\) −35878.3 + 155736.i −0.0283504 + 0.123060i
\(277\) 532237. 921861.i 0.416779 0.721882i −0.578835 0.815445i \(-0.696492\pi\)
0.995613 + 0.0935631i \(0.0298257\pi\)
\(278\) 726842. + 659880.i 0.564064 + 0.512098i
\(279\) −259021. + 343671.i −0.199216 + 0.264321i
\(280\) −611354. 455795.i −0.466013 0.347435i
\(281\) −890207. 513961.i −0.672551 0.388298i 0.124492 0.992221i \(-0.460270\pi\)
−0.797043 + 0.603923i \(0.793603\pi\)
\(282\) 15038.6 1.16760e6i 0.0112612 0.874322i
\(283\) −958119. + 553170.i −0.711137 + 0.410575i −0.811482 0.584377i \(-0.801339\pi\)
0.100345 + 0.994953i \(0.468005\pi\)
\(284\) −1.45460e6 + 1.03867e6i −1.07015 + 0.764154i
\(285\) −641921. + 567874.i −0.468133 + 0.414133i
\(286\) −19996.3 62413.7i −0.0144555 0.0451196i
\(287\) 914725. 0.655520
\(288\) −1.30678e6 + 523146.i −0.928370 + 0.371656i
\(289\) 606588. 0.427218
\(290\) 326279. + 1.01840e6i 0.227821 + 0.711091i
\(291\) 613849. + 205420.i 0.424941 + 0.142204i
\(292\) 1.81933e6 1.29911e6i 1.24869 0.891639i
\(293\) −989169. + 571097.i −0.673134 + 0.388634i −0.797263 0.603632i \(-0.793720\pi\)
0.124129 + 0.992266i \(0.460386\pi\)
\(294\) 1.21180e6 + 720600.i 0.817642 + 0.486212i
\(295\) 813446. + 469643.i 0.544219 + 0.314205i
\(296\) −1.99023e6 1.48381e6i −1.32030 0.984350i
\(297\) 311657. 24487.3i 0.205015 0.0161083i
\(298\) 947869. + 860545.i 0.618312 + 0.561349i
\(299\) 22488.2 38950.7i 0.0145471 0.0251964i
\(300\) −1.23243e6 + 377417.i −0.790601 + 0.242113i
\(301\) 1.80479e6 + 3.12599e6i 1.14818 + 1.98871i
\(302\) −67046.9 + 309178.i −0.0423020 + 0.195070i
\(303\) −575608. + 1.72006e6i −0.360180 + 1.07631i
\(304\) 2.28919e6 + 785631.i 1.42069 + 0.487567i
\(305\) 415648.i 0.255845i
\(306\) −938978. + 809350.i −0.573260 + 0.494120i
\(307\) 1.32248e6i 0.800836i −0.916333 0.400418i \(-0.868865\pi\)
0.916333 0.400418i \(-0.131135\pi\)
\(308\) 198108. 435294.i 0.118994 0.261460i
\(309\) −409062. 462401.i −0.243721 0.275500i
\(310\) −227750. 49388.7i −0.134603 0.0291893i
\(311\) 139474. + 241576.i 0.0817698 + 0.141629i 0.904010 0.427511i \(-0.140609\pi\)
−0.822240 + 0.569140i \(0.807276\pi\)
\(312\) 394754. 33087.3i 0.229583 0.0192431i
\(313\) 68921.8 119376.i 0.0397645 0.0688742i −0.845458 0.534042i \(-0.820673\pi\)
0.885223 + 0.465167i \(0.154006\pi\)
\(314\) 511985. 563939.i 0.293044 0.322781i
\(315\) −942322. + 399896.i −0.535085 + 0.227075i
\(316\) 1.21650e6 117759.i 0.685319 0.0663401i
\(317\) −1.13038e6 652623.i −0.631793 0.364766i 0.149653 0.988739i \(-0.452184\pi\)
−0.781446 + 0.623973i \(0.785518\pi\)
\(318\) −1.07858e6 1.92499e6i −0.598114 1.06748i
\(319\) −580834. + 335345.i −0.319577 + 0.184508i
\(320\) −553713. 523853.i −0.302280 0.285979i
\(321\) −255158. 1.25442e6i −0.138212 0.679485i
\(322\) 312557. 100138.i 0.167992 0.0538217i
\(323\) 2.13146e6 1.13677
\(324\) −278670. + 1.86891e6i −0.147478 + 0.989065i
\(325\) 362737. 0.190495
\(326\) −505503. + 161954.i −0.263439 + 0.0844012i
\(327\) 151062. + 742659.i 0.0781244 + 0.384079i
\(328\) 908089. + 106778.i 0.466062 + 0.0548020i
\(329\) −2.07677e6 + 1.19902e6i −1.05779 + 0.610714i
\(330\) 82749.1 + 147686.i 0.0418291 + 0.0746543i
\(331\) 552755. + 319133.i 0.277308 + 0.160104i 0.632204 0.774802i \(-0.282150\pi\)
−0.354896 + 0.934906i \(0.615484\pi\)
\(332\) −68582.0 708478.i −0.0341479 0.352762i
\(333\) −3.06767e6 + 1.30184e6i −1.51600 + 0.643348i
\(334\) 512867. 564910.i 0.251558 0.277085i
\(335\) 390674. 676668.i 0.190197 0.329430i
\(336\) 2.29509e6 + 1.75754e6i 1.10905 + 0.849290i
\(337\) −491457. 851229.i −0.235728 0.408293i 0.723756 0.690056i \(-0.242414\pi\)
−0.959484 + 0.281763i \(0.909081\pi\)
\(338\) 1.94369e6 + 421499.i 0.925412 + 0.200680i
\(339\) −174363. 197099.i −0.0824054 0.0931505i
\(340\) −610993. 278071.i −0.286641 0.130454i
\(341\) 146157.i 0.0680666i
\(342\) 2.46093e6 2.12119e6i 1.13771 0.980650i
\(343\) 148276.i 0.0680511i
\(344\) 1.42679e6 + 3.31399e6i 0.650077 + 1.50992i
\(345\) −36867.8 + 110170.i −0.0166763 + 0.0498330i
\(346\) −248912. + 1.14783e6i −0.111778 + 0.515449i
\(347\) 675607. + 1.17018e6i 0.301211 + 0.521712i 0.976410 0.215923i \(-0.0692760\pi\)
−0.675200 + 0.737635i \(0.735943\pi\)
\(348\) −1.18704e6 3.87619e6i −0.525433 1.71576i
\(349\) −376947. + 652891.i −0.165660 + 0.286931i −0.936889 0.349626i \(-0.886309\pi\)
0.771230 + 0.636557i \(0.219642\pi\)
\(350\) 1.95981e6 + 1.77925e6i 0.855151 + 0.776368i
\(351\) 228998. 479943.i 0.0992117 0.207932i
\(352\) 247483. 409010.i 0.106461 0.175945i
\(353\) 389941. + 225133.i 0.166557 + 0.0961616i 0.580961 0.813931i \(-0.302677\pi\)
−0.414404 + 0.910093i \(0.636010\pi\)
\(354\) −3.06044e6 1.81990e6i −1.29800 0.771860i
\(355\) −1.12523e6 + 649650.i −0.473881 + 0.273595i
\(356\) −1.83951e6 2.57612e6i −0.769266 1.07731i
\(357\) 2.41421e6 + 807901.i 1.00255 + 0.335496i
\(358\) −906549. 2.82958e6i −0.373838 1.16685i
\(359\) −3.02244e6 −1.23772 −0.618860 0.785502i \(-0.712405\pi\)
−0.618860 + 0.785502i \(0.712405\pi\)
\(360\) −982166. + 286995.i −0.399419 + 0.116713i
\(361\) −3.11015e6 −1.25607
\(362\) −1.42535e6 4.44889e6i −0.571675 1.78435i
\(363\) 1.80083e6 1.59310e6i 0.717309 0.634566i
\(364\) −472756. 662068.i −0.187018 0.261908i
\(365\) 1.40737e6 812547.i 0.552939 0.319239i
\(366\) −20292.5 + 1.57552e6i −0.00791831 + 0.614780i
\(367\) 2.33704e6 + 1.34929e6i 0.905735 + 0.522927i 0.879057 0.476718i \(-0.158174\pi\)
0.0266788 + 0.999644i \(0.491507\pi\)
\(368\) 321978. 62925.8i 0.123939 0.0242220i
\(369\) 738762. 980194.i 0.282448 0.374754i
\(370\) −1.33611e6 1.21301e6i −0.507384 0.460640i
\(371\) −2.26576e6 + 3.92440e6i −0.854630 + 1.48026i
\(372\) 860874. + 198327.i 0.322539 + 0.0743061i
\(373\) −922996. 1.59868e6i −0.343501 0.594961i 0.641579 0.767057i \(-0.278279\pi\)
−0.985080 + 0.172096i \(0.944946\pi\)
\(374\) 89225.1 411450.i 0.0329844 0.152103i
\(375\) −2.02860e6 + 412632.i −0.744935 + 0.151525i
\(376\) −2.20167e6 + 947899.i −0.803123 + 0.345774i
\(377\) 1.14087e6i 0.413412i
\(378\) 3.59139e6 1.46980e6i 1.29281 0.529089i
\(379\) 1.35806e6i 0.485649i −0.970070 0.242824i \(-0.921926\pi\)
0.970070 0.242824i \(-0.0780739\pi\)
\(380\) 1.60132e6 + 728783.i 0.568879 + 0.258904i
\(381\) 700851. 142558.i 0.247351 0.0503130i
\(382\) −2.07310e6 449562.i −0.726877 0.157627i
\(383\) −1.84507e6 3.19575e6i −0.642710 1.11321i −0.984825 0.173548i \(-0.944477\pi\)
0.342115 0.939658i \(1.61114\pi\)
\(384\) 2.07327e6 + 2.01270e6i 0.717511 + 0.696547i
\(385\) 173830. 301082.i 0.0597686 0.103522i
\(386\) −1.81430e6 + 1.99841e6i −0.619785 + 0.682678i
\(387\) 4.80733e6 + 590687.i 1.63165 + 0.200484i
\(388\) −128031. 1.32261e6i −0.0431754 0.446019i
\(389\) 2.87005e6 + 1.65702e6i 0.961645 + 0.555206i 0.896679 0.442681i \(-0.145973\pi\)
0.0649663 + 0.997887i \(0.479306\pi\)
\(390\) 287943. + 3708.68i 0.0958617 + 0.00123469i
\(391\) 250215. 144462.i 0.0827698 0.0477872i
\(392\) 337984. 2.87438e6i 0.111092 0.944775i
\(393\) −279589. + 247338.i −0.0913144 + 0.0807811i
\(394\) −2.39149e6 + 766193.i −0.776120 + 0.248655i
\(395\) 888447. 0.286509
\(396\) −306450. 563844.i −0.0982024 0.180685i
\(397\) −119467. −0.0380427 −0.0190214 0.999819i \(-0.506055\pi\)
−0.0190214 + 0.999819i \(0.506055\pi\)
\(398\) −3.23902e6 + 1.03773e6i −1.02496 + 0.328379i
\(399\) −6.32731e6 2.11739e6i −1.98970 0.665839i
\(400\) 1.73789e6 + 1.99512e6i 0.543091 + 0.623475i
\(401\) 4.09522e6 2.36438e6i 1.27179 0.734271i 0.296469 0.955043i \(-0.404191\pi\)
0.975325 + 0.220772i \(0.0708576\pi\)
\(402\) −1.51389e6 + 2.54584e6i −0.467228 + 0.785716i
\(403\) −215311. 124310.i −0.0660394 0.0381279i
\(404\) 3.70609e6 358756.i 1.12970 0.109357i
\(405\) −332533. + 1.33273e6i −0.100739 + 0.403744i
\(406\) −5.59606e6 + 6.16393e6i −1.68487 + 1.85585i
\(407\) 565893. 980156.i 0.169336 0.293298i
\(408\) 2.30239e6 + 1.08386e6i 0.684745 + 0.322345i
\(409\) −3.11750e6 5.39967e6i −0.921507 1.59610i −0.797085 0.603867i \(-0.793626\pi\)
−0.124422 0.992229i \(-0.539708\pi\)
\(410\) 649572. + 140863.i 0.190839 + 0.0413845i
\(411\) 1.02293e6 3.05677e6i 0.298704 0.892603i
\(412\) −524971. + 1.15350e6i −0.152367 + 0.334790i
\(413\) 7.31236e6i 2.10952i
\(414\) 145126. 415801.i 0.0416145 0.119230i
\(415\) 517425.i 0.147478i
\(416\) −392042. 712451.i −0.111071 0.201847i
\(417\) −1.79247e6 2.02619e6i −0.504791 0.570612i
\(418\) −233846. + 1.07835e6i −0.0654621 + 0.301870i
\(419\) 347632. + 602117.i 0.0967353 + 0.167551i 0.910332 0.413880i \(-0.135827\pi\)
−0.813596 + 0.581430i \(0.802493\pi\)
\(420\) 1.53752e6 + 1.43242e6i 0.425301 + 0.396230i
\(421\) −585766. + 1.01458e6i −0.161071 + 0.278984i −0.935253 0.353979i \(-0.884828\pi\)
0.774182 + 0.632963i \(0.218162\pi\)
\(422\) 1.66971e6 + 1.51588e6i 0.456414 + 0.414366i
\(423\) −392427. + 3.19378e6i −0.106637 + 0.867868i
\(424\) −2.70742e6 + 3.63145e6i −0.731377 + 0.980991i
\(425\) 2.01800e6 + 1.16509e6i 0.541936 + 0.312887i
\(426\) 4.29689e6 2.40756e6i 1.14718 0.642767i
\(427\) 2.80231e6 1.61792e6i 0.743784 0.429424i
\(428\) −2.13856e6 + 1.52706e6i −0.564303 + 0.402946i
\(429\) 35998.9 + 176979.i 0.00944378 + 0.0464279i
\(430\) 800245. + 2.49778e6i 0.208714 + 0.651453i
\(431\) 2.98148e6 0.773104 0.386552 0.922268i \(-0.373666\pi\)
0.386552 + 0.922268i \(0.373666\pi\)
\(432\) 3.73691e6 1.03991e6i 0.963393 0.268092i
\(433\) 5.90562e6 1.51372 0.756861 0.653576i \(-0.226732\pi\)
0.756861 + 0.653576i \(0.226732\pi\)
\(434\) −553538. 1.72774e6i −0.141066 0.440305i
\(435\) −587393. 2.88777e6i −0.148835 0.731711i
\(436\) 1.26610e6 904072.i 0.318972 0.227765i
\(437\) −655778. + 378614.i −0.164268 + 0.0948403i
\(438\) −5.37432e6 + 3.01125e6i −1.33856 + 0.750001i
\(439\) 2.85286e6 + 1.64710e6i 0.706512 + 0.407905i 0.809768 0.586750i \(-0.199593\pi\)
−0.103256 + 0.994655i \(0.532926\pi\)
\(440\) 207715. 278607.i 0.0511489 0.0686056i
\(441\) −3.10261e6 2.33840e6i −0.759679 0.572562i
\(442\) −530238. 481389.i −0.129097 0.117203i
\(443\) −3.05039e6 + 5.28344e6i −0.738493 + 1.27911i 0.214681 + 0.976684i \(0.431129\pi\)
−0.953174 + 0.302423i \(0.902204\pi\)
\(444\) 5.00529e6 + 4.66316e6i 1.20496 + 1.12260i
\(445\) −1.15055e6 1.99280e6i −0.275425 0.477051i
\(446\) 401586. 1.85186e6i 0.0955965 0.440831i
\(447\) −2.33755e6 2.64235e6i −0.553339 0.625491i
\(448\) 1.37649e6 5.77225e6i 0.324026 1.35878i
\(449\) 5.38289e6i 1.26008i −0.776561 0.630042i \(-0.783038\pi\)
0.776561 0.630042i \(-0.216962\pi\)
\(450\) 3.48940e6 663089.i 0.812306 0.154362i
\(451\) 416859.i 0.0965046i
\(452\) −223770. + 491679.i −0.0515175 + 0.113197i
\(453\) 276661. 826734.i 0.0633435 0.189287i
\(454\) 4.70020e6 + 1.01926e6i 1.07023 + 0.232085i
\(455\) −295692. 512154.i −0.0669594 0.115977i
\(456\) −6.03424e6 2.84063e6i −1.35897 0.639739i
\(457\) −231952. + 401752.i −0.0519526 + 0.0899846i −0.890832 0.454332i \(-0.849878\pi\)
0.838880 + 0.544317i \(0.183211\pi\)
\(458\) 1.55262e6 1.71017e6i 0.345860 0.380956i
\(459\) 2.81552e6 1.93452e6i 0.623774 0.428589i
\(460\) 237376. 22978.4i 0.0523048 0.00506320i
\(461\) 3.61068e6 + 2.08463e6i 0.791291 + 0.456852i 0.840417 0.541940i \(-0.182310\pi\)
−0.0491256 + 0.998793i \(0.515643\pi\)
\(462\) −673602. + 1.13277e6i −0.146824 + 0.246908i
\(463\) 5.46488e6 3.15515e6i 1.18475 0.684018i 0.227644 0.973744i \(-0.426898\pi\)
0.957110 + 0.289726i \(0.0935643\pi\)
\(464\) −6.27499e6 + 5.46597e6i −1.35306 + 1.17862i
\(465\) 608997. + 203797.i 0.130612 + 0.0437084i
\(466\) −3.65016e6 + 1.16945e6i −0.778658 + 0.249469i
\(467\) −763795. −0.162063 −0.0810316 0.996712i \(-0.525821\pi\)
−0.0810316 + 0.996712i \(0.525821\pi\)
\(468\) −1.09127e6 28115.5i −0.230312 0.00593378i
\(469\) 6.08282e6 1.27695
\(470\) −1.65941e6 + 531648.i −0.346506 + 0.111014i
\(471\) −1.57208e6 + 1.39073e6i −0.326529 + 0.288863i
\(472\) −853588. + 7.25932e6i −0.176357 + 1.49983i
\(473\) −1.42458e6 + 822480.i −0.292774 + 0.169033i
\(474\) −3.36766e6 43375.1i −0.688466 0.00886737i
\(475\) −5.28888e6 3.05354e6i −1.07555 0.620968i
\(476\) −503536. 5.20172e6i −0.101862 1.05228i
\(477\) 2.37538e6 + 5.59740e6i 0.478011 + 1.12639i
\(478\) 5.02101e6 5.53052e6i 1.00513 1.10712i
\(479\) −1.97328e6 + 3.41782e6i −0.392962 + 0.680629i −0.992839 0.119463i \(-0.961883\pi\)
0.599877 + 0.800092i \(0.295216\pi\)
\(480\) 1.35915e6 + 1.60151e6i 0.269256 + 0.317268i
\(481\) −962608. 1.66729e6i −0.189709 0.328585i
\(482\) −4.62916e6 1.00386e6i −0.907580 0.196813i
\(483\) −886280. + 180276.i −0.172863 + 0.0351617i
\(484\) −4.49232e6 2.04451e6i −0.871680 0.396713i
\(485\) 965947.i 0.186466i
\(486\) 1.32553e6 5.03549e6i 0.254565 0.967056i
\(487\) 1.97847e6i 0.378012i 0.981976 + 0.189006i \(0.0605266\pi\)
−0.981976 + 0.189006i \(0.939473\pi\)
\(488\) 2.97085e6 1.27906e6i 0.564717 0.243131i
\(489\) 1.43340e6 291563.i 0.271078 0.0551392i
\(490\) 445874. 2.05609e6i 0.0838923 0.386858i
\(491\) −547411. 948143.i −0.102473 0.177488i 0.810230 0.586112i \(-0.199342\pi\)
−0.912703 + 0.408624i \(0.866009\pi\)
\(492\) −2.45532e6 565655.i −0.457295 0.105351i
\(493\) −3.66441e6 + 6.34695e6i −0.679027 + 1.17611i
\(494\) 1.38968e6 + 1.26165e6i 0.256210 + 0.232606i
\(495\) −182241. 429435.i −0.0334297 0.0787743i
\(496\) −347839. 1.77982e6i −0.0634855 0.324842i
\(497\) −8.75991e6 5.05754e6i −1.59078 0.918435i
\(498\) −25261.4 + 1.96130e6i −0.00456440 + 0.354381i
\(499\) −9.07104e6 + 5.23717e6i −1.63082 + 0.941554i −0.646978 + 0.762508i \(0.723968\pi\)
−0.983841 + 0.179045i \(0.942699\pi\)
\(500\) 2.46950e6 + 3.45840e6i 0.441758 + 0.618657i
\(501\) −1.57478e6 + 1.39313e6i −0.280302 + 0.247969i
\(502\) −2.44463e6 7.63035e6i −0.432967 1.35140i
\(503\) 639826. 0.112757 0.0563783 0.998409i \(-0.482045\pi\)
0.0563783 + 0.998409i \(0.482045\pi\)
\(504\) −5.75802e6 5.50466e6i −1.00971 0.965281i
\(505\) 2.70668e6 0.472289
\(506\) 45634.8 + 142438.i 0.00792355 + 0.0247315i
\(507\) −5.19737e6 1.73927e6i −0.897975 0.300501i
\(508\) −853177. 1.19483e6i −0.146683 0.205421i
\(509\) −2.75241e6 + 1.58911e6i −0.470890 + 0.271868i −0.716612 0.697472i \(-0.754308\pi\)
0.245722 + 0.969340i \(0.420975\pi\)
\(510\) 1.58999e6 + 945490.i 0.270688 + 0.160965i
\(511\) 1.09564e7 + 6.32570e6i 1.85617 + 1.07166i
\(512\) 2.04032e6 5.56969e6i 0.343971 0.938980i
\(513\) −7.37908e6 + 5.07009e6i −1.23797 + 0.850594i
\(514\) 4.29008e6 + 3.89485e6i 0.716238 + 0.650253i
\(515\) −460636. + 797845.i −0.0765315 + 0.132556i
\(516\) −2.91138e6 9.50690e6i −0.481366 1.57186i
\(517\) −546419. 946426.i −0.0899083 0.155726i
\(518\) 2.97737e6 1.37297e7i 0.487537 2.24821i
\(519\) 1.02711e6 3.06925e6i 0.167377 0.500166i
\(520\) −233762. 542955.i −0.0379111 0.0880553i
\(521\) 1.76213e6i 0.284408i −0.989837 0.142204i \(-0.954581\pi\)
0.989837 0.142204i \(-0.0454190\pi\)
\(522\) 2.08553e6 + 1.09748e7i 0.334997 + 1.76287i
\(523\) 8.86393e6i 1.41701i −0.705708 0.708503i \(-0.749371\pi\)
0.705708 0.708503i \(-0.250629\pi\)
\(524\) 697458. + 317422.i 0.110966 + 0.0505020i
\(525\) −4.83309e6 5.46329e6i −0.765291 0.865079i
\(526\) 9.30619e6 + 2.01810e6i 1.46659 + 0.318037i
\(527\) −798552. 1.38313e6i −0.125250 0.216939i
\(528\) −800945. + 1.04592e6i −0.125031 + 0.163272i
\(529\) 3.16685e6 5.48514e6i 0.492026 0.852214i
\(530\) −2.21331e6 + 2.43791e6i −0.342258 + 0.376989i
\(531\) 7.83572e6 + 5.90570e6i 1.20599 + 0.908940i
\(532\) 1.31969e6 + 1.36330e7i 0.202160 + 2.08839i
\(533\) 614094. + 354547.i 0.0936304 + 0.0540575i
\(534\) 4.26385e6 + 7.60989e6i 0.647067 + 1.15485i
\(535\) −1.65432e6 + 955121.i −0.249882 + 0.144269i
\(536\) 6.03869e6 + 710060.i 0.907885 + 0.106754i
\(537\) 1.63204e6 + 8.02352e6i 0.244228 + 1.20069i
\(538\) 1.14119e7 3.65618e6i 1.69982 0.544593i
\(539\) 1.31948e6 0.195629
\(540\) 2.77669e6 490689.i 0.409773 0.0724138i
\(541\) −6.03815e6 −0.886974 −0.443487 0.896281i \(-0.646259\pi\)
−0.443487 + 0.896281i \(0.646259\pi\)
\(542\) −3.21476e6 + 1.02995e6i −0.470057 + 0.150598i
\(543\) 2.56602e6 + 1.26152e7i 0.373475 + 1.83609i
\(544\) 107325. 5.22276e6i 0.0155491 0.756664i
\(545\) 979414. 565465.i 0.141246 0.0815482i
\(546\) 1.09582e6 + 1.95576e6i 0.157310 + 0.280759i
\(547\) 544056. + 314111.i 0.0777455 + 0.0448864i 0.538369 0.842709i \(-0.319041\pi\)
−0.460623 + 0.887596i \(0.652374\pi\)
\(548\) −6.58619e6 + 637555.i −0.936878 + 0.0906914i
\(549\) 529526. 4.30956e6i 0.0749819 0.610242i
\(550\) −810842. + 893124.i −0.114296 + 0.125894i
\(551\) 9.60390e6 1.66344e7i 1.34762 2.33415i
\(552\) −900895. + 75510.6i −0.125842 + 0.0105478i
\(553\) 3.45829e6 + 5.98993e6i 0.480893 + 0.832931i
\(554\) 5.88479e6 + 1.27615e6i 0.814623 + 0.176655i
\(555\) 3.29498e6 + 3.72462e6i 0.454067 + 0.513274i
\(556\) −2.30037e6 + 5.05451e6i −0.315581 + 0.693413i
\(557\) 2.33240e6i 0.318541i −0.987235 0.159270i \(-0.949086\pi\)
0.987235 0.159270i \(-0.0509142\pi\)
\(558\) −2.29845e6 802224.i −0.312500 0.109071i
\(559\) 2.79815e6i 0.378740i
\(560\) 1.40026e6 4.08012e6i 0.188686 0.549797i
\(561\) −368177. + 1.10021e6i −0.0493912 + 0.147593i
\(562\) 1.23233e6 5.68272e6i 0.164583 0.758955i
\(563\) 4.06546e6 + 7.04158e6i 0.540553 + 0.936266i 0.998872 + 0.0474781i \(0.0151184\pi\)
−0.458319 + 0.888788i \(0.651548\pi\)
\(564\) 6.31597e6 1.93420e6i 0.836069 0.256037i
\(565\) −196347. + 340083.i −0.0258763 + 0.0448191i
\(566\) −4.63366e6 4.20677e6i −0.607971 0.551960i
\(567\) −1.02797e7 + 2.94574e6i −1.34284 + 0.384801i
\(568\) −8.10599e6 6.04341e6i −1.05423 0.785980i
\(569\) −5.81782e6 3.35892e6i −0.753320 0.434929i 0.0735725 0.997290i \(-0.476560\pi\)
−0.826892 + 0.562361i \(0.809893\pi\)
\(570\) −4.16713e6 2.47799e6i −0.537217 0.319457i
\(571\) −1.04309e7 + 6.02229e6i −1.33885 + 0.772985i −0.986637 0.162935i \(-0.947904\pi\)
−0.352213 + 0.935920i \(0.614571\pi\)
\(572\) 301718. 215445.i 0.0385577 0.0275325i
\(573\) 5.54341e6 + 1.85506e6i 0.705327 + 0.236033i
\(574\) 1.57876e6 + 4.92774e6i 0.200003 + 0.624264i
\(575\) −827826. −0.104417
\(576\) −5.07368e6 6.13687e6i −0.637187 0.770709i
\(577\) −906368. −0.113335 −0.0566676 0.998393i \(-0.518048\pi\)
−0.0566676 + 0.998393i \(0.518048\pi\)
\(578\) 1.04694e6 + 3.26777e6i 0.130347 + 0.406847i
\(579\) 5.57090e6 4.92829e6i 0.690604 0.610942i
\(580\) −4.92313e6 + 3.51541e6i −0.607675 + 0.433916i
\(581\) 3.48849e6 2.01408e6i 0.428743 0.247535i
\(582\) −47158.8 + 3.66142e6i −0.00577106 + 0.448067i
\(583\) −1.78843e6 1.03255e6i −0.217922 0.125817i
\(584\) 1.01385e7 + 7.55877e6i 1.23011 + 0.917105i
\(585\) −787620. 96776.7i −0.0951540 0.0116918i
\(586\) −4.78382e6 4.34310e6i −0.575480 0.522463i
\(587\) −4.78919e6 + 8.29511e6i −0.573676 + 0.993636i 0.422508 + 0.906359i \(0.361150\pi\)
−0.996184 + 0.0872766i \(0.972184\pi\)
\(588\) −1.79047e6 + 7.77184e6i −0.213561 + 0.927002i
\(589\) 2.09289e6 + 3.62499e6i 0.248575 + 0.430545i
\(590\) −1.12607e6 + 5.19271e6i −0.133179 + 0.614136i
\(591\) 6.78128e6 1.37936e6i 0.798626 0.162446i
\(592\) 4.55847e6 1.32826e7i 0.534582 1.55768i
\(593\) 6.46951e6i 0.755501i 0.925907 + 0.377750i \(0.123302\pi\)
−0.925907 + 0.377750i \(0.876698\pi\)
\(594\) 669818. + 1.63667e6i 0.0778916 + 0.190325i
\(595\) 3.79899e6i 0.439922i
\(596\) −2.99990e6 + 6.59154e6i −0.345932 + 0.760101i
\(597\) 9.18451e6 1.86820e6i 1.05468 0.214529i
\(598\) 248646. + 53920.2i 0.0284334 + 0.00616593i
\(599\) −2.38231e6 4.12628e6i −0.271288 0.469885i 0.697904 0.716192i \(-0.254116\pi\)
−0.969192 + 0.246306i \(0.920783\pi\)
\(600\) −4.16028e6 5.98783e6i −0.471786 0.679034i
\(601\) −7.09387e6 + 1.22869e7i −0.801119 + 1.38758i 0.117761 + 0.993042i \(0.462428\pi\)
−0.918880 + 0.394537i \(0.870905\pi\)
\(602\) −1.37251e7 + 1.51179e7i −1.54357 + 1.70020i
\(603\) 4.91268e6 6.51818e6i 0.550206 0.730017i
\(604\) −1.78130e6 + 172433.i −0.198676 + 0.0192322i
\(605\) −3.10723e6 1.79396e6i −0.345132 0.199262i
\(606\) −1.02597e7 132143.i −1.13488 0.0146172i
\(607\) −6.94805e6 + 4.01146e6i −0.765404 + 0.441906i −0.831233 0.555924i \(-0.812364\pi\)
0.0658283 + 0.997831i \(0.479031\pi\)
\(608\) −281284. + 1.36881e7i −0.0308593 + 1.50170i
\(609\) 1.71830e7 1.52009e7i 1.87739 1.66083i
\(610\) 2.23915e6 717385.i 0.243646 0.0780598i
\(611\) −1.85897e6 −0.201450
\(612\) −5.98069e6 3.66150e6i −0.645465 0.395167i
\(613\) 4.92638e6 0.529513 0.264757 0.964315i \(-0.414708\pi\)
0.264757 + 0.964315i \(0.414708\pi\)
\(614\) 7.12437e6 2.28252e6i 0.762651 0.244340i
\(615\) −1.73694e6 581255.i −0.185181 0.0619696i
\(616\) 2.68691e6 + 315940.i 0.285299 + 0.0335470i
\(617\) 1.81236e6 1.04636e6i 0.191660 0.110655i −0.401100 0.916034i \(-0.631372\pi\)
0.592759 + 0.805380i \(0.298039\pi\)
\(618\) 1.78499e6 3.00174e6i 0.188003 0.316157i
\(619\) −7.46071e6 4.30745e6i −0.782625 0.451849i 0.0547347 0.998501i \(-0.482569\pi\)
−0.837360 + 0.546652i \(0.815902\pi\)
\(620\) −127019. 1.31216e6i −0.0132706 0.137090i
\(621\) −522610. + 1.09531e6i −0.0543812 + 0.113975i
\(622\) −1.06068e6 + 1.16831e6i −0.109928 + 0.121083i
\(623\) 8.95702e6 1.55140e7i 0.924578 1.60142i
\(624\) 859568. + 2.06948e6i 0.0883728 + 0.212765i
\(625\) −2.49273e6 4.31754e6i −0.255256 0.442116i
\(626\) 762049. + 165254.i 0.0777225 + 0.0168545i
\(627\) 964939. 2.88348e6i 0.0980236 0.292920i
\(628\) 3.92167e6 + 1.78480e6i 0.396800 + 0.180589i
\(629\) 1.23674e7i 1.24638i
\(630\) −3.78068e6 4.38621e6i −0.379506 0.440289i
\(631\) 1.15818e7i 1.15798i −0.815334 0.578991i \(-0.803446\pi\)
0.815334 0.578991i \(-0.196554\pi\)
\(632\) 2.73398e6 + 6.35017e6i 0.272272 + 0.632401i
\(633\) −4.11767e6 4.65459e6i −0.408453 0.461713i
\(634\) 1.56480e6 7.21587e6i 0.154609 0.712960i
\(635\) −533632. 924277.i −0.0525179 0.0909637i
\(636\) 8.50859e6 9.13285e6i 0.834094 0.895290i
\(637\) 1.12225e6 1.94379e6i 0.109582 0.189802i
\(638\) −2.80903e6 2.55024e6i −0.273215 0.248044i
\(639\) −1.24943e7 + 5.30224e6i −1.21049 + 0.513698i
\(640\) 1.86638e6 3.88706e6i 0.180115 0.375121i
\(641\) 1.51197e7 + 8.72938e6i 1.45345 + 0.839147i 0.998675 0.0514611i \(-0.0163878\pi\)
0.454771 + 0.890608i \(0.349721\pi\)
\(642\) 6.31733e6 3.53962e6i 0.604917 0.338937i
\(643\) 8.37838e6 4.83726e6i 0.799158 0.461394i −0.0440186 0.999031i \(-0.514016\pi\)
0.843177 + 0.537637i \(0.180683\pi\)
\(644\) 1.07891e6 + 1.51095e6i 0.102511 + 0.143561i
\(645\) −1.44066e6 7.08266e6i −0.136353 0.670343i
\(646\) 3.67878e6 + 1.14824e7i 0.346834 + 1.08256i
\(647\) −1.26182e7 −1.18505 −0.592525 0.805552i \(-0.701869\pi\)
−0.592525 + 0.805552i \(0.701869\pi\)
\(648\) −1.05490e7 + 1.72439e6i −0.986902 + 0.161324i
\(649\) −3.33239e6 −0.310559
\(650\) 626063. + 1.95411e6i 0.0581212 + 0.181412i
\(651\) 996523. + 4.89915e6i 0.0921584 + 0.453073i
\(652\) −1.74494e6 2.44368e6i −0.160754 0.225126i
\(653\) −1.65281e7 + 9.54250e6i −1.51684 + 0.875748i −0.517036 + 0.855964i \(0.672965\pi\)
−0.999804 + 0.0197840i \(0.993702\pi\)
\(654\) −3.74007e6 + 2.09558e6i −0.341929 + 0.191584i
\(655\) 482415. + 278522.i 0.0439357 + 0.0253663i
\(656\) 992083. + 5.07628e6i 0.0900095 + 0.460560i
\(657\) 1.56272e7 6.63176e6i 1.41243 0.599398i
\(658\) −1.00437e7 9.11837e6i −0.904332 0.821018i
\(659\) 5.33197e6 9.23524e6i 0.478271 0.828390i −0.521419 0.853301i \(-0.674597\pi\)
0.999690 + 0.0249112i \(0.00793029\pi\)
\(660\) −652784. + 700677.i −0.0583323 + 0.0626121i
\(661\) 1.35400e6 + 2.34520e6i 0.120535 + 0.208774i 0.919979 0.391968i \(-0.128206\pi\)
−0.799443 + 0.600741i \(0.794872\pi\)
\(662\) −765188. + 3.52857e6i −0.0678615 + 0.312934i
\(663\) 1.30762e6 + 1.47813e6i 0.115531 + 0.130595i
\(664\) 3.69829e6 1.59225e6i 0.325523 0.140149i
\(665\) 9.95660e6i 0.873086i
\(666\) −1.23078e7 1.42790e7i −1.07521 1.24742i
\(667\) 2.60366e6i 0.226605i
\(668\) 3.92842e6 + 1.78788e6i 0.340625 + 0.155023i
\(669\) −1.65710e6 + 4.95184e6i −0.143147 + 0.427761i
\(670\) 4.31958e6 + 936723.i 0.371753 + 0.0806166i
\(671\) 737317. + 1.27707e6i 0.0632191 + 0.109499i
\(672\) −5.50689e6 + 1.53973e7i −0.470417 + 1.31529i
\(673\) −2.61627e6 + 4.53151e6i −0.222661 + 0.385660i −0.955615 0.294618i \(-0.904808\pi\)
0.732954 + 0.680278i \(0.238141\pi\)
\(674\) 3.73745e6 4.11671e6i 0.316903 0.349061i
\(675\) −9.75766e6 + 766672.i −0.824302 + 0.0647664i
\(676\) 1.08402e6 + 1.11984e7i 0.0912372 + 0.942516i
\(677\) −1.63183e6 942135.i −0.136837 0.0790026i 0.430019 0.902820i \(-0.358507\pi\)
−0.566855 + 0.823817i \(0.691840\pi\)
\(678\) 760856. 1.27950e6i 0.0635665 0.106897i
\(679\) 6.51244e6 3.75996e6i 0.542087 0.312974i
\(680\) 443464. 3.77143e6i 0.0367778 0.312776i
\(681\) −1.25682e7 4.20587e6i −1.03850 0.347526i
\(682\) 787366. 252259.i 0.0648210 0.0207675i
\(683\) 8.13981e6 0.667671 0.333835 0.942631i \(-0.391657\pi\)
0.333835 + 0.942631i \(0.391657\pi\)
\(684\) 1.56745e7 + 9.59627e6i 1.28101 + 0.784264i
\(685\) −4.81011e6 −0.391678
\(686\) −798780. + 255915.i −0.0648063 + 0.0207628i
\(687\) −4.76738e6 + 4.21746e6i −0.385379 + 0.340925i
\(688\) −1.53903e7 + 1.34061e7i −1.23958 + 1.07977i
\(689\) −3.04220e6 + 1.75641e6i −0.244140 + 0.140954i
\(690\) −657134. 8463.82i −0.0525450 0.000676774i
\(691\) −1.22215e7 7.05606e6i −0.973706 0.562169i −0.0733417 0.997307i \(-0.523366\pi\)
−0.900364 + 0.435138i \(0.856700\pi\)
\(692\) −6.61309e6 + 640158.i −0.524975 + 0.0508186i
\(693\) 2.18589e6 2.90025e6i 0.172900 0.229405i
\(694\) −5.13788e6 + 5.65925e6i −0.404935 + 0.446026i
\(695\) −2.01846e6 + 3.49608e6i −0.158511 + 0.274549i
\(696\) 1.88328e7 1.30848e7i 1.47364 1.02387i
\(697\) 2.27757e6 + 3.94487e6i 0.177579 + 0.307575i
\(698\) −4.16779e6 903808.i −0.323793 0.0702163i
\(699\) 1.03503e7 2.10533e6i 0.801238 0.162978i
\(700\) −6.20256e6 + 1.36286e7i −0.478438 + 1.05125i
\(701\) 2.52168e6i 0.193818i 0.995293 + 0.0969090i \(0.0308956\pi\)
−0.995293 + 0.0969090i \(0.969104\pi\)
\(702\) 2.98075e6 + 405285.i 0.228288 + 0.0310397i
\(703\) 3.24131e7i 2.47362i
\(704\) 2.63053e6 + 627297.i 0.200038 + 0.0477025i
\(705\) 4.70541e6 957115.i 0.356553 0.0725256i
\(706\) −539802. + 2.48923e6i −0.0407590 + 0.187955i
\(707\) 1.05358e7 + 1.82485e7i 0.792716 + 1.37302i
\(708\) 4.52187e6 1.96280e7i 0.339028 1.47161i
\(709\) 7.59486e6 1.31547e7i 0.567419 0.982799i −0.429401 0.903114i \(-0.641275\pi\)
0.996820 0.0796849i \(-0.0253914\pi\)
\(710\) −5.44182e6 4.94048e6i −0.405134 0.367810i
\(711\) 9.21167e6 + 1.13186e6i 0.683383 + 0.0839689i
\(712\) 1.07030e7 1.43559e7i 0.791237 1.06128i
\(713\) 491375. + 283695.i 0.0361984 + 0.0208991i
\(714\) −185472. + 1.44001e7i −0.0136154 + 1.05711i
\(715\) 233399. 134753.i 0.0170739 0.00985765i
\(716\) 1.36787e7 9.76739e6i 0.997152 0.712026i
\(717\) −1.54173e7 + 1.36389e7i −1.11998 + 0.990786i
\(718\) −5.21656e6 1.62823e7i −0.377636 1.17870i
\(719\) −4.45507e6 −0.321390 −0.160695 0.987004i \(-0.551374\pi\)
−0.160695 + 0.987004i \(0.551374\pi\)
\(720\) −3.24124e6 4.79572e6i −0.233013 0.344764i
\(721\) −7.17213e6 −0.513819
\(722\) −5.36794e6 1.67548e7i −0.383234 1.19618i
\(723\) 1.23783e7 + 4.14230e6i 0.880671 + 0.294711i
\(724\) 2.15067e7 1.53570e7i 1.52485 1.08883i
\(725\) 1.81853e7 1.04993e7i 1.28492 0.741849i
\(726\) 1.16904e7 + 6.95170e6i 0.823165 + 0.489497i
\(727\) 1.03556e7 + 5.97878e6i 0.726670 + 0.419543i 0.817203 0.576350i \(-0.195524\pi\)
−0.0905324 + 0.995894i \(0.528857\pi\)
\(728\) 2.75070e6 3.68949e6i 0.192360 0.258011i
\(729\) −5.14566e6 + 1.33945e7i −0.358610 + 0.933487i
\(730\) 6.80634e6 + 6.17929e6i 0.472722 + 0.429172i
\(731\) −8.98749e6 + 1.55668e7i −0.622078 + 1.07747i
\(732\) −8.52252e6 + 2.60993e6i −0.587883 + 0.180033i
\(733\) −6.24966e6 1.08247e7i −0.429632 0.744144i 0.567209 0.823574i \(-0.308023\pi\)
−0.996840 + 0.0794302i \(0.974690\pi\)
\(734\) −3.23521e6 + 1.49187e7i −0.221647 + 1.02210i
\(735\) −1.83985e6 + 5.49793e6i −0.125621 + 0.375388i
\(736\) 894705. + 1.62593e6i 0.0608815 + 0.110639i
\(737\) 2.77206e6i 0.187990i
\(738\) 6.55549e6 + 2.28805e6i 0.443062 + 0.154641i
\(739\) 3.34559e6i 0.225352i 0.993632 + 0.112676i \(0.0359422\pi\)
−0.993632 + 0.112676i \(0.964058\pi\)
\(740\) 4.22862e6 9.29137e6i 0.283870 0.623735i
\(741\) −3.42709e6 3.87396e6i −0.229287 0.259185i
\(742\) −2.50518e7 5.43262e6i −1.67044 0.362243i
\(743\) −1.84277e6 3.19177e6i −0.122461 0.212109i 0.798276 0.602291i \(-0.205745\pi\)
−0.920738 + 0.390182i \(0.872412\pi\)
\(744\) 417405. + 4.97994e6i 0.0276456 + 0.329831i
\(745\) −2.63226e6 + 4.55921e6i −0.173755 + 0.300953i
\(746\) 7.01923e6 7.73152e6i 0.461788 0.508648i
\(747\) 659186. 5.36481e6i 0.0432222 0.351765i
\(748\) 2.37053e6 229472.i 0.154914 0.0149960i
\(749\) −1.28789e7 7.43564e6i −0.838831 0.484299i
\(750\) −5.72414e6 1.02161e7i −0.371584 0.663184i
\(751\) 1.11291e7 6.42540e6i 0.720048 0.415720i −0.0947225 0.995504i \(-0.530196\pi\)
0.814770 + 0.579784i \(0.196863\pi\)
\(752\) −8.90640e6 1.02246e7i −0.574325 0.659331i
\(753\) 4.40102e6 + 2.16365e7i 0.282857 + 1.39059i
\(754\) −6.14601e6 + 1.96908e6i −0.393700 + 0.126135i
\(755\) −1.30094e6 −0.0830597
\(756\) 1.41165e7 + 1.68105e7i 0.898304 + 1.06974i
\(757\) 2.81332e6 0.178435 0.0892175 0.996012i \(-0.471563\pi\)
0.0892175 + 0.996012i \(0.471563\pi\)
\(758\) 7.31606e6 2.34394e6i 0.462492 0.148174i
\(759\) −82155.4 403896.i −0.00517645 0.0254487i
\(760\) −1.16226e6 + 9.88437e6i −0.0729907 + 0.620747i
\(761\) 2.67932e6 1.54691e6i 0.167712 0.0968283i −0.413795 0.910370i \(-0.635797\pi\)