Properties

Label 36.6.h.a.11.4
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 11.4
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.35087 - 1.83526i) q^{2} +(6.54818 - 14.1464i) q^{3} +(25.2636 + 19.6405i) q^{4} +(36.0599 - 20.8192i) q^{5} +(-61.0009 + 63.6781i) q^{6} +(117.288 + 67.7164i) q^{7} +(-99.1369 - 151.459i) q^{8} +(-157.243 - 185.267i) q^{9} +O(q^{10})\) \(q+(-5.35087 - 1.83526i) q^{2} +(6.54818 - 14.1464i) q^{3} +(25.2636 + 19.6405i) q^{4} +(36.0599 - 20.8192i) q^{5} +(-61.0009 + 63.6781i) q^{6} +(117.288 + 67.7164i) q^{7} +(-99.1369 - 151.459i) q^{8} +(-157.243 - 185.267i) q^{9} +(-231.160 + 45.2214i) q^{10} +(144.306 - 249.946i) q^{11} +(443.274 - 228.781i) q^{12} +(-399.564 - 692.066i) q^{13} +(-503.317 - 577.596i) q^{14} +(-58.3905 - 646.446i) q^{15} +(252.501 + 992.380i) q^{16} -1426.41i q^{17} +(501.373 + 1279.92i) q^{18} +2191.46i q^{19} +(1319.90 + 182.266i) q^{20} +(1725.97 - 1215.79i) q^{21} +(-1230.88 + 1072.59i) q^{22} +(-276.033 - 478.103i) q^{23} +(-2791.77 + 410.651i) q^{24} +(-695.624 + 1204.86i) q^{25} +(867.895 + 4436.46i) q^{26} +(-3650.51 + 1011.26i) q^{27} +(1633.14 + 4014.36i) q^{28} +(2037.13 + 1176.14i) q^{29} +(-873.958 + 3566.21i) q^{30} +(8140.74 - 4700.06i) q^{31} +(470.176 - 5773.51i) q^{32} +(-2590.90 - 3678.11i) q^{33} +(-2617.84 + 7632.56i) q^{34} +5639.20 q^{35} +(-333.792 - 7768.83i) q^{36} +2862.18 q^{37} +(4021.90 - 11726.2i) q^{38} +(-12406.7 + 1120.64i) q^{39} +(-6728.12 - 3397.65i) q^{40} +(-2498.01 + 1442.23i) q^{41} +(-11466.7 + 3337.93i) q^{42} +(5637.32 + 3254.71i) q^{43} +(8554.76 - 3480.29i) q^{44} +(-9527.25 - 3407.03i) q^{45} +(599.572 + 3064.86i) q^{46} +(-3575.66 + 6193.23i) q^{47} +(15692.1 + 2926.29i) q^{48} +(767.520 + 1329.38i) q^{49} +(5933.42 - 5170.37i) q^{50} +(-20178.7 - 9340.41i) q^{51} +(3498.07 - 25331.7i) q^{52} +19840.6i q^{53} +(21389.4 + 1288.51i) q^{54} -12017.3i q^{55} +(-1371.32 - 24477.6i) q^{56} +(31001.3 + 14350.1i) q^{57} +(-8741.88 - 10032.0i) q^{58} +(24632.6 + 42665.0i) q^{59} +(11221.4 - 17478.4i) q^{60} +(-19300.6 + 33429.6i) q^{61} +(-52185.9 + 10209.0i) q^{62} +(-5897.14 - 32377.5i) q^{63} +(-13111.7 + 30030.4i) q^{64} +(-28816.5 - 16637.2i) q^{65} +(7113.26 + 24436.0i) q^{66} +(37000.1 - 21362.0i) q^{67} +(28015.5 - 36036.4i) q^{68} +(-8570.96 + 774.176i) q^{69} +(-30174.6 - 10349.4i) q^{70} -49446.3 q^{71} +(-12471.8 + 42182.6i) q^{72} +52633.6 q^{73} +(-15315.2 - 5252.86i) q^{74} +(12489.3 + 17730.2i) q^{75} +(-43041.3 + 55364.2i) q^{76} +(33850.8 - 19543.8i) q^{77} +(68443.2 + 16773.1i) q^{78} +(-1301.08 - 751.180i) q^{79} +(29765.7 + 30528.2i) q^{80} +(-9598.44 + 58263.7i) q^{81} +(16013.4 - 3132.66i) q^{82} +(-45325.7 + 78506.4i) q^{83} +(67483.0 + 3183.63i) q^{84} +(-29696.8 - 51436.3i) q^{85} +(-24191.3 - 27761.5i) q^{86} +(29977.6 - 21116.5i) q^{87} +(-52162.6 + 2922.35i) q^{88} +17210.8i q^{89} +(44726.3 + 35715.6i) q^{90} -108228. i q^{91} +(2416.59 - 17500.0i) q^{92} +(-13182.0 - 145939. i) q^{93} +(30499.1 - 26576.9i) q^{94} +(45624.3 + 79023.7i) q^{95} +(-78595.7 - 44457.3i) q^{96} +(42560.1 - 73716.3i) q^{97} +(-1667.13 - 8521.96i) q^{98} +(-68997.7 + 12567.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.35087 1.83526i −0.945909 0.324432i
\(3\) 6.54818 14.1464i 0.420066 0.907494i
\(4\) 25.2636 + 19.6405i 0.789488 + 0.613766i
\(5\) 36.0599 20.8192i 0.645059 0.372425i −0.141502 0.989938i \(-0.545193\pi\)
0.786561 + 0.617513i \(0.211860\pi\)
\(6\) −61.0009 + 63.6781i −0.691764 + 0.722124i
\(7\) 117.288 + 67.7164i 0.904710 + 0.522335i 0.878725 0.477328i \(-0.158395\pi\)
0.0259846 + 0.999662i \(0.491728\pi\)
\(8\) −99.1369 151.459i −0.547659 0.836702i
\(9\) −157.243 185.267i −0.647089 0.762414i
\(10\) −231.160 + 45.2214i −0.730993 + 0.143003i
\(11\) 144.306 249.946i 0.359586 0.622822i −0.628305 0.777967i \(-0.716251\pi\)
0.987892 + 0.155145i \(0.0495844\pi\)
\(12\) 443.274 228.781i 0.888625 0.458634i
\(13\) −399.564 692.066i −0.655735 1.13577i −0.981709 0.190388i \(-0.939026\pi\)
0.325974 0.945379i \(-0.394308\pi\)
\(14\) −503.317 577.596i −0.686312 0.787597i
\(15\) −58.3905 646.446i −0.0670061 0.741830i
\(16\) 252.501 + 992.380i 0.246583 + 0.969122i
\(17\) 1426.41i 1.19708i −0.801093 0.598540i \(-0.795748\pi\)
0.801093 0.598540i \(-0.204252\pi\)
\(18\) 501.373 + 1279.92i 0.364737 + 0.931111i
\(19\) 2191.46i 1.39267i 0.717716 + 0.696336i \(0.245188\pi\)
−0.717716 + 0.696336i \(0.754812\pi\)
\(20\) 1319.90 + 182.266i 0.737848 + 0.101890i
\(21\) 1725.97 1215.79i 0.854053 0.601604i
\(22\) −1230.88 + 1072.59i −0.542199 + 0.472472i
\(23\) −276.033 478.103i −0.108803 0.188453i 0.806483 0.591258i \(-0.201368\pi\)
−0.915286 + 0.402805i \(0.868035\pi\)
\(24\) −2791.77 + 410.651i −0.989354 + 0.145528i
\(25\) −695.624 + 1204.86i −0.222600 + 0.385554i
\(26\) 867.895 + 4436.46i 0.251787 + 1.28707i
\(27\) −3650.51 + 1011.26i −0.963706 + 0.266966i
\(28\) 1633.14 + 4014.36i 0.393667 + 0.967657i
\(29\) 2037.13 + 1176.14i 0.449804 + 0.259694i 0.707747 0.706466i \(-0.249712\pi\)
−0.257944 + 0.966160i \(0.583045\pi\)
\(30\) −873.958 + 3566.21i −0.177291 + 0.723442i
\(31\) 8140.74 4700.06i 1.52146 0.878414i 0.521778 0.853081i \(-0.325269\pi\)
0.999679 0.0253327i \(-0.00806450\pi\)
\(32\) 470.176 5773.51i 0.0811682 0.996700i
\(33\) −2590.90 3678.11i −0.414157 0.587949i
\(34\) −2617.84 + 7632.56i −0.388371 + 1.13233i
\(35\) 5639.20 0.778121
\(36\) −333.792 7768.83i −0.0429260 0.999078i
\(37\) 2862.18 0.343711 0.171855 0.985122i \(-0.445024\pi\)
0.171855 + 0.985122i \(0.445024\pi\)
\(38\) 4021.90 11726.2i 0.451827 1.31734i
\(39\) −12406.7 + 1120.64i −1.30615 + 0.117979i
\(40\) −6728.12 3397.65i −0.664881 0.335760i
\(41\) −2498.01 + 1442.23i −0.232078 + 0.133990i −0.611530 0.791221i \(-0.709446\pi\)
0.379452 + 0.925211i \(0.376112\pi\)
\(42\) −11466.7 + 3337.93i −1.00304 + 0.291981i
\(43\) 5637.32 + 3254.71i 0.464945 + 0.268436i 0.714121 0.700022i \(-0.246827\pi\)
−0.249176 + 0.968458i \(0.580160\pi\)
\(44\) 8554.76 3480.29i 0.666156 0.271009i
\(45\) −9527.25 3407.03i −0.701353 0.250810i
\(46\) 599.572 + 3064.86i 0.0417779 + 0.213558i
\(47\) −3575.66 + 6193.23i −0.236109 + 0.408952i −0.959594 0.281387i \(-0.909205\pi\)
0.723486 + 0.690339i \(0.242539\pi\)
\(48\) 15692.1 + 2926.29i 0.983053 + 0.183322i
\(49\) 767.520 + 1329.38i 0.0456667 + 0.0790970i
\(50\) 5933.42 5170.37i 0.335645 0.292480i
\(51\) −20178.7 9340.41i −1.08634 0.502852i
\(52\) 3498.07 25331.7i 0.179399 1.29914i
\(53\) 19840.6i 0.970209i 0.874456 + 0.485104i \(0.161218\pi\)
−0.874456 + 0.485104i \(0.838782\pi\)
\(54\) 21389.4 + 1288.51i 0.998190 + 0.0601316i
\(55\) 12017.3i 0.535676i
\(56\) −1371.32 24477.6i −0.0584346 1.04303i
\(57\) 31001.3 + 14350.1i 1.26384 + 0.585014i
\(58\) −8741.88 10032.0i −0.341220 0.391578i
\(59\) 24632.6 + 42665.0i 0.921257 + 1.59566i 0.797473 + 0.603354i \(0.206170\pi\)
0.123784 + 0.992309i \(0.460497\pi\)
\(60\) 11221.4 17478.4i 0.402409 0.626792i
\(61\) −19300.6 + 33429.6i −0.664119 + 1.15029i 0.315404 + 0.948958i \(0.397860\pi\)
−0.979523 + 0.201331i \(0.935473\pi\)
\(62\) −52185.9 + 10209.0i −1.72415 + 0.337291i
\(63\) −5897.14 32377.5i −0.187193 1.02776i
\(64\) −13111.7 + 30030.4i −0.400139 + 0.916455i
\(65\) −28816.5 16637.2i −0.845975 0.488424i
\(66\) 7113.26 + 24436.0i 0.201006 + 0.690512i
\(67\) 37000.1 21362.0i 1.00697 0.581374i 0.0966660 0.995317i \(-0.469182\pi\)
0.910303 + 0.413943i \(0.135849\pi\)
\(68\) 28015.5 36036.4i 0.734727 0.945081i
\(69\) −8570.96 + 774.176i −0.216724 + 0.0195757i
\(70\) −30174.6 10349.4i −0.736032 0.252447i
\(71\) −49446.3 −1.16409 −0.582047 0.813155i \(-0.697748\pi\)
−0.582047 + 0.813155i \(0.697748\pi\)
\(72\) −12471.8 + 42182.6i −0.283529 + 0.958964i
\(73\) 52633.6 1.15600 0.577998 0.816038i \(-0.303834\pi\)
0.577998 + 0.816038i \(0.303834\pi\)
\(74\) −15315.2 5252.86i −0.325119 0.111511i
\(75\) 12489.3 + 17730.2i 0.256381 + 0.363966i
\(76\) −43041.3 + 55364.2i −0.854775 + 1.09950i
\(77\) 33850.8 19543.8i 0.650643 0.375649i
\(78\) 68443.2 + 16773.1i 1.27378 + 0.312160i
\(79\) −1301.08 751.180i −0.0234551 0.0135418i 0.488227 0.872717i \(-0.337644\pi\)
−0.511682 + 0.859175i \(0.670977\pi\)
\(80\) 29765.7 + 30528.2i 0.519986 + 0.533306i
\(81\) −9598.44 + 58263.7i −0.162550 + 0.986700i
\(82\) 16013.4 3132.66i 0.262996 0.0514492i
\(83\) −45325.7 + 78506.4i −0.722187 + 1.25086i 0.237935 + 0.971281i \(0.423529\pi\)
−0.960122 + 0.279583i \(0.909804\pi\)
\(84\) 67483.0 + 3183.63i 1.04351 + 0.0492294i
\(85\) −29696.8 51436.3i −0.445822 0.772187i
\(86\) −24191.3 27761.5i −0.352706 0.404759i
\(87\) 29977.6 21116.5i 0.424618 0.299105i
\(88\) −52162.6 + 2922.35i −0.718047 + 0.0402277i
\(89\) 17210.8i 0.230316i 0.993347 + 0.115158i \(0.0367375\pi\)
−0.993347 + 0.115158i \(0.963262\pi\)
\(90\) 44726.3 + 35715.6i 0.582045 + 0.464784i
\(91\) 108228.i 1.37005i
\(92\) 2416.59 17500.0i 0.0297669 0.215561i
\(93\) −13182.0 145939.i −0.158043 1.74970i
\(94\) 30499.1 26576.9i 0.356014 0.310231i
\(95\) 45624.3 + 79023.7i 0.518666 + 0.898355i
\(96\) −78595.7 44457.3i −0.870403 0.492339i
\(97\) 42560.1 73716.3i 0.459276 0.795489i −0.539647 0.841891i \(-0.681442\pi\)
0.998923 + 0.0464027i \(0.0147757\pi\)
\(98\) −1667.13 8521.96i −0.0175350 0.0896343i
\(99\) −68997.7 + 12567.0i −0.707533 + 0.128868i
\(100\) −41237.9 + 16776.6i −0.412379 + 0.167766i
\(101\) −143739. 82987.8i −1.40208 0.809489i −0.407470 0.913219i \(-0.633589\pi\)
−0.994606 + 0.103730i \(0.966922\pi\)
\(102\) 90831.3 + 87012.5i 0.864440 + 0.828097i
\(103\) 37562.8 21686.9i 0.348871 0.201421i −0.315317 0.948987i \(-0.602111\pi\)
0.664188 + 0.747565i \(0.268777\pi\)
\(104\) −65208.1 + 129127.i −0.591178 + 1.17067i
\(105\) 36926.5 79774.5i 0.326862 0.706140i
\(106\) 36412.7 106165.i 0.314766 0.917729i
\(107\) 91255.2 0.770546 0.385273 0.922803i \(-0.374107\pi\)
0.385273 + 0.922803i \(0.374107\pi\)
\(108\) −112087. 46149.7i −0.924689 0.380724i
\(109\) −24623.9 −0.198514 −0.0992568 0.995062i \(-0.531647\pi\)
−0.0992568 + 0.995062i \(0.531647\pi\)
\(110\) −22055.0 + 64303.3i −0.173790 + 0.506701i
\(111\) 18742.1 40489.7i 0.144381 0.311915i
\(112\) −37585.0 + 133493.i −0.283119 + 1.00557i
\(113\) 88668.1 51192.5i 0.653238 0.377147i −0.136458 0.990646i \(-0.543572\pi\)
0.789696 + 0.613499i \(0.210238\pi\)
\(114\) −139548. 133681.i −1.00568 0.963400i
\(115\) −19907.4 11493.6i −0.140369 0.0810420i
\(116\) 28365.3 + 69723.6i 0.195723 + 0.481100i
\(117\) −65388.1 + 182848.i −0.441605 + 1.23488i
\(118\) −53504.6 273502.i −0.353742 1.80824i
\(119\) 96591.6 167302.i 0.625276 1.08301i
\(120\) −92121.5 + 72930.4i −0.583993 + 0.462334i
\(121\) 38876.9 + 67336.8i 0.241395 + 0.418109i
\(122\) 164627. 143456.i 1.00139 0.872607i
\(123\) 4044.94 + 44781.8i 0.0241073 + 0.266894i
\(124\) 297976. + 41147.7i 1.74031 + 0.240321i
\(125\) 188049.i 1.07646i
\(126\) −27866.4 + 184071.i −0.156370 + 1.03290i
\(127\) 302657.i 1.66510i 0.553947 + 0.832552i \(0.313121\pi\)
−0.553947 + 0.832552i \(0.686879\pi\)
\(128\) 125273. 136625.i 0.675822 0.737065i
\(129\) 82956.6 58435.5i 0.438911 0.309174i
\(130\) 123660. + 141909.i 0.641755 + 0.736466i
\(131\) −118391. 205059.i −0.602755 1.04400i −0.992402 0.123038i \(-0.960736\pi\)
0.389647 0.920964i \(1.62740\pi\)
\(132\) 6784.43 143809.i 0.0338906 0.718374i
\(133\) −148398. + 257032.i −0.727441 + 1.25996i
\(134\) −237188. + 46400.5i −1.14112 + 0.223234i
\(135\) −110583. + 112467.i −0.522222 + 0.531116i
\(136\) −216043. + 141410.i −1.00160 + 0.655592i
\(137\) 258227. + 149087.i 1.17544 + 0.678640i 0.954955 0.296750i \(-0.0959029\pi\)
0.220484 + 0.975391i \(0.429236\pi\)
\(138\) 47282.9 + 11587.5i 0.211352 + 0.0517953i
\(139\) −231460. + 133634.i −1.01611 + 0.586650i −0.912974 0.408018i \(-0.866220\pi\)
−0.103133 + 0.994668i \(0.532887\pi\)
\(140\) 142467. + 110757.i 0.614318 + 0.477584i
\(141\) 64198.0 + 91137.2i 0.271940 + 0.386054i
\(142\) 264581. + 90747.0i 1.10113 + 0.377669i
\(143\) −230638. −0.943174
\(144\) 144151. 202825.i 0.579310 0.815107i
\(145\) 97944.7 0.386866
\(146\) −281636. 96596.5i −1.09347 0.375041i
\(147\) 23831.9 2152.63i 0.0909631 0.00821628i
\(148\) 72309.1 + 56214.7i 0.271356 + 0.210958i
\(149\) −3380.85 + 1951.94i −0.0124756 + 0.00720277i −0.506225 0.862402i \(-0.668959\pi\)
0.493749 + 0.869604i \(0.335626\pi\)
\(150\) −34289.2 117793.i −0.124431 0.427457i
\(151\) 65292.0 + 37696.4i 0.233033 + 0.134542i 0.611971 0.790881i \(-0.290377\pi\)
−0.378937 + 0.925422i \(0.623710\pi\)
\(152\) 331916. 217254.i 1.16525 0.762710i
\(153\) −264267. + 224293.i −0.912671 + 0.774618i
\(154\) −216999. + 42451.1i −0.737321 + 0.144241i
\(155\) 195703. 338967.i 0.654286 1.13326i
\(156\) −335447. 215362.i −1.10360 0.708529i
\(157\) −212862. 368688.i −0.689206 1.19374i −0.972095 0.234587i \(-0.924626\pi\)
0.282889 0.959153i \(-0.408707\pi\)
\(158\) 5583.31 + 6407.29i 0.0177930 + 0.0204189i
\(159\) 280674. + 129920.i 0.880458 + 0.407552i
\(160\) −103245. 217981.i −0.318838 0.673159i
\(161\) 74767.8i 0.227327i
\(162\) 158289. 294146.i 0.473875 0.880592i
\(163\) 192942.i 0.568797i 0.958706 + 0.284399i \(0.0917939\pi\)
−0.958706 + 0.284399i \(0.908206\pi\)
\(164\) −91434.8 12626.3i −0.265462 0.0366578i
\(165\) −170003. 78691.7i −0.486122 0.225019i
\(166\) 386612. 336893.i 1.08894 0.948903i
\(167\) −181210. 313866.i −0.502796 0.870868i −0.999995 0.00323152i \(-0.998971\pi\)
0.497199 0.867637i \(1.66564\pi\)
\(168\) −355250. 140884.i −0.971093 0.385114i
\(169\) −133657. + 231500.i −0.359977 + 0.623498i
\(170\) 64504.4 + 329730.i 0.171186 + 0.875058i
\(171\) 406004. 344591.i 1.06179 0.901184i
\(172\) 78495.0 + 192945.i 0.202312 + 0.497294i
\(173\) −245891. 141965.i −0.624636 0.360634i 0.154036 0.988065i \(-0.450773\pi\)
−0.778672 + 0.627431i \(0.784106\pi\)
\(174\) −199160. + 57975.0i −0.498689 + 0.145167i
\(175\) −163177. + 94210.2i −0.402776 + 0.232543i
\(176\) 284479. + 80095.0i 0.692258 + 0.194905i
\(177\) 764856. 69085.9i 1.83504 0.165751i
\(178\) 31586.3 92092.5i 0.0747219 0.217858i
\(179\) 176839. 0.412521 0.206261 0.978497i \(-0.433871\pi\)
0.206261 + 0.978497i \(0.433871\pi\)
\(180\) −173777. 273194.i −0.399771 0.628477i
\(181\) 378020. 0.857666 0.428833 0.903384i \(-0.358925\pi\)
0.428833 + 0.903384i \(0.358925\pi\)
\(182\) −198627. + 579115.i −0.444488 + 1.29594i
\(183\) 346526. + 491937.i 0.764906 + 1.08588i
\(184\) −45048.0 + 89205.4i −0.0980915 + 0.194244i
\(185\) 103210. 59588.3i 0.221714 0.128006i
\(186\) −197302. + 805094.i −0.418165 + 1.70634i
\(187\) −356526. 205840.i −0.745568 0.430454i
\(188\) −211972. + 86235.6i −0.437406 + 0.177948i
\(189\) −496641. 128590.i −1.01132 0.261851i
\(190\) −99100.7 506578.i −0.199156 1.01803i
\(191\) −10086.4 + 17470.2i −0.0200058 + 0.0346510i −0.875855 0.482574i \(-0.839702\pi\)
0.855849 + 0.517225i \(0.173035\pi\)
\(192\) 338965. + 382129.i 0.663592 + 0.748095i
\(193\) −289585. 501576.i −0.559606 0.969266i −0.997529 0.0702539i \(-0.977619\pi\)
0.437923 0.899013i \(-0.355714\pi\)
\(194\) −363022. + 316337.i −0.692515 + 0.603456i
\(195\) −424052. + 298707.i −0.798607 + 0.562547i
\(196\) −6719.43 + 48659.5i −0.0124937 + 0.0904748i
\(197\) 535064.i 0.982291i −0.871077 0.491146i \(-0.836578\pi\)
0.871077 0.491146i \(-0.163422\pi\)
\(198\) 392262. + 59384.4i 0.711071 + 0.107649i
\(199\) 304356.i 0.544815i −0.962182 0.272407i \(-0.912180\pi\)
0.962182 0.272407i \(-0.0878198\pi\)
\(200\) 251448. 14087.1i 0.444502 0.0249027i
\(201\) −59913.0 663302.i −0.104600 1.15803i
\(202\) 616825. + 707856.i 1.06361 + 1.22058i
\(203\) 159287. + 275894.i 0.271295 + 0.469896i
\(204\) −326336. 632292.i −0.549021 1.06376i
\(205\) −60051.9 + 104013.i −0.0998027 + 0.172863i
\(206\) −240795. + 47106.2i −0.395348 + 0.0773411i
\(207\) −45172.4 + 126318.i −0.0732735 + 0.204899i
\(208\) 585902. 571267.i 0.939002 0.915548i
\(209\) 547745. + 316241.i 0.867387 + 0.500786i
\(210\) −343996. + 359093.i −0.538276 + 0.561900i
\(211\) −51876.9 + 29951.2i −0.0802173 + 0.0463135i −0.539572 0.841939i \(-0.681414\pi\)
0.459355 + 0.888253i \(0.348081\pi\)
\(212\) −389679. + 501246.i −0.595481 + 0.765969i
\(213\) −323783. + 699489.i −0.488996 + 1.05641i
\(214\) −488295. 167477.i −0.728866 0.249989i
\(215\) 271041. 0.399889
\(216\) 515066. + 452650.i 0.751153 + 0.660128i
\(217\) 1.27308e6 1.83530
\(218\) 131759. + 45191.3i 0.187776 + 0.0644041i
\(219\) 344654. 744578.i 0.485594 1.04906i
\(220\) 236027. 303602.i 0.328779 0.422910i
\(221\) −987172. + 569944.i −1.35960 + 0.784967i
\(222\) −174596. + 182258.i −0.237767 + 0.248202i
\(223\) −557285. 321748.i −0.750438 0.433266i 0.0754140 0.997152i \(-0.475972\pi\)
−0.825852 + 0.563887i \(0.809305\pi\)
\(224\) 446107. 645326.i 0.594045 0.859328i
\(225\) 332601. 60578.9i 0.437993 0.0797747i
\(226\) −568403. + 111195.i −0.740262 + 0.144816i
\(227\) −702737. + 1.21718e6i −0.905166 + 1.56779i −0.0844708 + 0.996426i \(0.526920\pi\)
−0.820695 + 0.571367i \(0.806413\pi\)
\(228\) 501363. + 971415.i 0.638726 + 1.23756i
\(229\) −484313. 838855.i −0.610292 1.05706i −0.991191 0.132440i \(-0.957719\pi\)
0.380900 0.924616i \(-0.375614\pi\)
\(230\) 85428.4 + 98035.9i 0.106484 + 0.122198i
\(231\) −54813.5 606845.i −0.0675861 0.748252i
\(232\) −23817.9 425140.i −0.0290525 0.518575i
\(233\) 341863.i 0.412536i −0.978496 0.206268i \(-0.933868\pi\)
0.978496 0.206268i \(-0.0661319\pi\)
\(234\) 685458. 858393.i 0.818354 1.02482i
\(235\) 297769.i 0.351731i
\(236\) −215652. + 1.56167e6i −0.252042 + 1.82519i
\(237\) −19146.2 + 13486.8i −0.0221418 + 0.0155969i
\(238\) −823891. + 717938.i −0.942817 + 0.821570i
\(239\) −38134.0 66050.0i −0.0431834 0.0747959i 0.843626 0.536932i \(-0.180417\pi\)
−0.886809 + 0.462136i \(0.847083\pi\)
\(240\) 626777. 221174.i 0.702400 0.247860i
\(241\) −451424. + 781890.i −0.500659 + 0.867167i 0.499340 + 0.866406i \(0.333576\pi\)
−1.00000 0.000761543i \(0.999758\pi\)
\(242\) −84444.7 431660.i −0.0926902 0.473809i
\(243\) 761370. + 517304.i 0.827142 + 0.561993i
\(244\) −1.14418e6 + 465480.i −1.23032 + 0.500526i
\(245\) 55353.4 + 31958.3i 0.0589154 + 0.0340148i
\(246\) 60542.5 247045.i 0.0637856 0.260279i
\(247\) 1.51663e6 875628.i 1.58175 0.913224i
\(248\) −1.51892e6 767041.i −1.56821 0.791934i
\(249\) 813785. + 1.15527e6i 0.831785 + 1.18082i
\(250\) 345119. 1.00623e6i 0.349236 1.01823i
\(251\) −231854. −0.232290 −0.116145 0.993232i \(-0.537054\pi\)
−0.116145 + 0.993232i \(0.537054\pi\)
\(252\) 486927. 933796.i 0.483018 0.926298i
\(253\) −159333. −0.156497
\(254\) 555455. 1.61948e6i 0.540212 1.57504i
\(255\) −922100. + 83289.0i −0.888030 + 0.0802116i
\(256\) −921062. + 501155.i −0.878393 + 0.477939i
\(257\) 405704. 234234.i 0.383157 0.221216i −0.296034 0.955177i \(-0.595664\pi\)
0.679191 + 0.733962i \(0.262331\pi\)
\(258\) −551135. + 160434.i −0.515476 + 0.150053i
\(259\) 335700. + 193817.i 0.310958 + 0.179532i
\(260\) −401246. 986286.i −0.368110 0.904835i
\(261\) −102425. 562350.i −0.0930686 0.510982i
\(262\) 257158. + 1.31453e6i 0.231444 + 1.18308i
\(263\) 83590.8 144784.i 0.0745194 0.129071i −0.826358 0.563145i \(-0.809591\pi\)
0.900877 + 0.434074i \(0.142924\pi\)
\(264\) −300229. + 757051.i −0.265121 + 0.668521i
\(265\) 413065. + 715450.i 0.361330 + 0.625842i
\(266\) 1.26578e6 1.10300e6i 1.09687 0.955807i
\(267\) 243471. + 112699.i 0.209011 + 0.0967481i
\(268\) 1.35432e6 + 187019.i 1.15182 + 0.159055i
\(269\) 168240.i 0.141758i 0.997485 + 0.0708791i \(0.0225805\pi\)
−0.997485 + 0.0708791i \(0.977420\pi\)
\(270\) 798123. 398846.i 0.666286 0.332962i
\(271\) 243960.i 0.201788i −0.994897 0.100894i \(-0.967830\pi\)
0.994897 0.100894i \(-0.0321703\pi\)
\(272\) 1.41555e6 360172.i 1.16012 0.295180i
\(273\) −1.53104e6 708698.i −1.24331 0.575512i
\(274\) −1.10812e6 1.27166e6i −0.891687 1.02328i
\(275\) 200766. + 347736.i 0.160088 + 0.277280i
\(276\) −231739. 148780.i −0.183116 0.117563i
\(277\) −752145. + 1.30275e6i −0.588982 + 1.02015i 0.405384 + 0.914146i \(0.367138\pi\)
−0.994366 + 0.106000i \(0.966196\pi\)
\(278\) 1.48377e6 290266.i 1.15147 0.225260i
\(279\) −2.15084e6 769158.i −1.65423 0.591568i
\(280\) −559053. 854108.i −0.426145 0.651055i
\(281\) −627810. 362466.i −0.474310 0.273843i 0.243732 0.969843i \(-0.421628\pi\)
−0.718042 + 0.696000i \(0.754962\pi\)
\(282\) −176254. 605484.i −0.131983 0.453398i
\(283\) 210367. 121456.i 0.156139 0.0901470i −0.419895 0.907573i \(-0.637933\pi\)
0.576034 + 0.817426i \(0.304600\pi\)
\(284\) −1.24919e6 971151.i −0.919039 0.714481i
\(285\) 1.41666e6 127960.i 1.03313 0.0933175i
\(286\) 1.23412e6 + 423282.i 0.892157 + 0.305995i
\(287\) −390649. −0.279951
\(288\) −1.14357e6 + 820734.i −0.812421 + 0.583071i
\(289\) −614800. −0.433001
\(290\) −524089. 179754.i −0.365940 0.125512i
\(291\) −764130. 1.08478e6i −0.528975 0.750947i
\(292\) 1.32972e6 + 1.03375e6i 0.912645 + 0.709510i
\(293\) −229983. + 132781.i −0.156504 + 0.0903577i −0.576207 0.817304i \(-0.695468\pi\)
0.419703 + 0.907662i \(0.362134\pi\)
\(294\) −131472. 32219.4i −0.0887084 0.0217394i
\(295\) 1.77650e6 + 1.02566e6i 1.18853 + 0.686198i
\(296\) −283748. 433504.i −0.188236 0.287583i
\(297\) −274031. + 1.05836e6i −0.180264 + 0.696215i
\(298\) 21672.8 4239.80i 0.0141376 0.00276570i
\(299\) −220586. + 382066.i −0.142692 + 0.247150i
\(300\) −32704.1 + 693226.i −0.0209797 + 0.444704i
\(301\) 440794. + 763478.i 0.280427 + 0.485713i
\(302\) −280186. 321536.i −0.176779 0.202868i
\(303\) −2.11521e6 + 1.48998e6i −1.32357 + 0.932336i
\(304\) −2.17476e6 + 553346.i −1.34967 + 0.343410i
\(305\) 1.60729e6i 0.989338i
\(306\) 1.82569e6 715165.i 1.11461 0.436619i
\(307\) 110695.i 0.0670317i 0.999438 + 0.0335159i \(0.0106704\pi\)
−0.999438 + 0.0335159i \(0.989330\pi\)
\(308\) 1.23904e6 + 171100.i 0.744235 + 0.102772i
\(309\) −60824.2 673390.i −0.0362393 0.401209i
\(310\) −1.66927e6 + 1.45460e6i −0.986560 + 0.859687i
\(311\) 853195. + 1.47778e6i 0.500204 + 0.866379i 1.00000 0.000235558i \(7.49804e-5\pi\)
−0.499796 + 0.866143i \(0.666592\pi\)
\(312\) 1.39969e6 + 1.76801e6i 0.814039 + 1.02825i
\(313\) 1.31497e6 2.27759e6i 0.758672 1.31406i −0.184855 0.982766i \(-0.559182\pi\)
0.943528 0.331293i \(-0.107485\pi\)
\(314\) 462358. + 2.36346e6i 0.264639 + 1.35277i
\(315\) −886723. 1.04476e6i −0.503514 0.593251i
\(316\) −18116.5 44531.4i −0.0102060 0.0250870i
\(317\) 2.29323e6 + 1.32399e6i 1.28174 + 0.740011i 0.977166 0.212479i \(-0.0681538\pi\)
0.304570 + 0.952490i \(0.401487\pi\)
\(318\) −1.26341e6 1.21029e6i −0.700611 0.671155i
\(319\) 587940. 339447.i 0.323487 0.186765i
\(320\) 152400. + 1.35587e6i 0.0831974 + 0.740189i
\(321\) 597556. 1.29094e6i 0.323680 0.699265i
\(322\) −137219. + 400073.i −0.0737519 + 0.215030i
\(323\) 3.12593e6 1.66714
\(324\) −1.38682e6 + 1.28343e6i −0.733934 + 0.679220i
\(325\) 1.11179e6 0.583865
\(326\) 354099. 1.03241e6i 0.184536 0.538031i
\(327\) −161242. + 348340.i −0.0833888 + 0.180150i
\(328\) 466083. + 235368.i 0.239210 + 0.120799i
\(329\) −838766. + 484262.i −0.427220 + 0.246655i
\(330\) 765242. + 733068.i 0.386824 + 0.370561i
\(331\) −302518. 174659.i −0.151768 0.0876234i 0.422193 0.906506i \(-0.361261\pi\)
−0.573961 + 0.818883i \(0.694594\pi\)
\(332\) −2.68700e6 + 1.09314e6i −1.33790 + 0.544289i
\(333\) −450057. 530267.i −0.222412 0.262050i
\(334\) 393607. + 2.01202e6i 0.193062 + 0.986885i
\(335\) 889480. 1.54062e6i 0.433036 0.750040i
\(336\) 1.64234e6 + 1.40583e6i 0.793622 + 0.679336i
\(337\) −547189. 947760.i −0.262460 0.454594i 0.704435 0.709768i \(-0.251200\pi\)
−0.966895 + 0.255174i \(0.917867\pi\)
\(338\) 1.14004e6 993434.i 0.542788 0.472985i
\(339\) −143577. 1.58955e6i −0.0678557 0.751236i
\(340\) 259987. 1.88273e6i 0.121970 0.883263i
\(341\) 2.71299e6i 1.26346i
\(342\) −2.80489e6 + 1.09874e6i −1.29673 + 0.507959i
\(343\) 2.06832e6i 0.949256i
\(344\) −65911.1 1.17649e6i −0.0300305 0.536032i
\(345\) −292950. + 206357.i −0.132509 + 0.0933409i
\(346\) 1.05519e6 + 1.21091e6i 0.473848 + 0.543779i
\(347\) −11213.9 19423.0i −0.00499957 0.00865952i 0.863515 0.504324i \(-0.168258\pi\)
−0.868514 + 0.495664i \(0.834925\pi\)
\(348\) 1.17208e6 + 55295.0i 0.518811 + 0.0244758i
\(349\) −375010. + 649537.i −0.164809 + 0.285457i −0.936587 0.350434i \(-0.886034\pi\)
0.771779 + 0.635891i \(0.219367\pi\)
\(350\) 1.04604e6 204634.i 0.456434 0.0892911i
\(351\) 2.15848e6 + 2.12233e6i 0.935146 + 0.919486i
\(352\) −1.37521e6 950671.i −0.591580 0.408953i
\(353\) −2.86942e6 1.65666e6i −1.22563 0.707615i −0.259514 0.965739i \(-0.583562\pi\)
−0.966112 + 0.258124i \(0.916896\pi\)
\(354\) −4.21943e6 1.03404e6i −1.78956 0.438561i
\(355\) −1.78303e6 + 1.02943e6i −0.750909 + 0.433538i
\(356\) −338028. + 434806.i −0.141360 + 0.181832i
\(357\) −1.73422e6 2.46195e6i −0.720168 1.02237i
\(358\) −946244. 324547.i −0.390208 0.133835i
\(359\) −3.42554e6 −1.40279 −0.701395 0.712773i \(-0.747439\pi\)
−0.701395 + 0.712773i \(0.747439\pi\)
\(360\) 428477. + 1.78075e6i 0.174249 + 0.724181i
\(361\) −2.32639e6 −0.939537
\(362\) −2.02274e6 693766.i −0.811275 0.278254i
\(363\) 1.20715e6 109036.i 0.480833 0.0434314i
\(364\) 2.12566e6 2.73424e6i 0.840891 1.08164i
\(365\) 1.89796e6 1.09579e6i 0.745685 0.430521i
\(366\) −951380. 3.26826e6i −0.371237 1.27530i
\(367\) 2.06081e6 + 1.18981e6i 0.798681 + 0.461119i 0.843010 0.537898i \(-0.180781\pi\)
−0.0443284 + 0.999017i \(0.514115\pi\)
\(368\) 404762. 394652.i 0.155804 0.151913i
\(369\) 659990. + 236018.i 0.252331 + 0.0902359i
\(370\) −661623. + 129432.i −0.251250 + 0.0491515i
\(371\) −1.34353e6 + 2.32707e6i −0.506774 + 0.877758i
\(372\) 2.53329e6 3.94586e6i 0.949136 1.47837i
\(373\) −427217. 739962.i −0.158992 0.275383i 0.775513 0.631331i \(-0.217491\pi\)
−0.934506 + 0.355948i \(0.884158\pi\)
\(374\) 1.52995e6 + 1.75574e6i 0.565587 + 0.649056i
\(375\) 2.66022e6 + 1.23138e6i 0.976877 + 0.452182i
\(376\) 1.29250e6 72410.8i 0.471478 0.0264140i
\(377\) 1.87977e6i 0.681162i
\(378\) 2.42147e6 + 1.59954e6i 0.871664 + 0.575791i
\(379\) 245030.i 0.0876236i −0.999040 0.0438118i \(-0.986050\pi\)
0.999040 0.0438118i \(-0.0139502\pi\)
\(380\) −399428. + 2.89251e6i −0.141899 + 1.02758i
\(381\) 4.28151e6 + 1.98185e6i 1.51107 + 0.699453i
\(382\) 86033.8 74969.7i 0.0301655 0.0262862i
\(383\) −2.42922e6 4.20753e6i −0.846193 1.46565i −0.884581 0.466387i \(-0.845556\pi\)
0.0383880 0.999263i \(1.51222\pi\)
\(384\) −1.11245e6 2.66681e6i −0.384992 0.922920i
\(385\) 813772. 1.40949e6i 0.279802 0.484631i
\(386\) 629008. + 3.21533e6i 0.214876 + 1.09839i
\(387\) −283439. 1.55619e6i −0.0962015 0.528183i
\(388\) 2.52305e6 1.02644e6i 0.850836 0.346141i
\(389\) −475223. 274370.i −0.159229 0.0919312i 0.418268 0.908324i \(-0.362637\pi\)
−0.577497 + 0.816393i \(0.695971\pi\)
\(390\) 2.81725e6 820094.i 0.937917 0.273025i
\(391\) −681973. + 393737.i −0.225593 + 0.130246i
\(392\) 125258. 248039.i 0.0411708 0.0815276i
\(393\) −3.67611e6 + 332046.i −1.20062 + 0.108447i
\(394\) −981983. + 2.86306e6i −0.318686 + 0.929158i
\(395\) −62555.8 −0.0201732
\(396\) −1.98995e6 1.03766e6i −0.637684 0.332520i
\(397\) 367984. 0.117180 0.0585899 0.998282i \(-0.481340\pi\)
0.0585899 + 0.998282i \(0.481340\pi\)
\(398\) −558573. + 1.62857e6i −0.176755 + 0.515345i
\(399\) 2.66435e6 + 3.78239e6i 0.837837 + 1.18942i
\(400\) −1.37132e6 386096.i −0.428538 0.120655i
\(401\) −114412. + 66055.8i −0.0355313 + 0.0205140i −0.517660 0.855586i \(-0.673197\pi\)
0.482129 + 0.876100i \(0.339864\pi\)
\(402\) −896746. + 3.65920e6i −0.276761 + 1.12933i
\(403\) −6.50550e6 3.75595e6i −1.99535 1.15201i
\(404\) −2.00145e6 4.91968e6i −0.610086 1.49963i
\(405\) 866883. + 2.30081e6i 0.262617 + 0.697017i
\(406\) −345988. 1.76861e6i −0.104171 0.532495i
\(407\) 413031. 715390.i 0.123594 0.214071i
\(408\) 585759. + 3.98222e6i 0.174208 + 1.18434i
\(409\) 2.64952e6 + 4.58910e6i 0.783176 + 1.35650i 0.930083 + 0.367350i \(0.119735\pi\)
−0.146907 + 0.989150i \(0.546932\pi\)
\(410\) 512221. 446349.i 0.150487 0.131134i
\(411\) 3.79997e6 2.67674e6i 1.10962 0.781630i
\(412\) 1.37492e6 + 189863.i 0.399055 + 0.0551058i
\(413\) 6.67213e6i 1.92482i
\(414\) 473538. 593008.i 0.135786 0.170043i
\(415\) 3.77458e6i 1.07584i
\(416\) −4.18351e6 + 1.98149e6i −1.18524 + 0.561383i
\(417\) 374796. + 4.14939e6i 0.105549 + 1.16854i
\(418\) −2.35053e6 2.69742e6i −0.657999 0.755106i
\(419\) 1.83475e6 + 3.17789e6i 0.510555 + 0.884307i 0.999925 + 0.0122310i \(0.00389336\pi\)
−0.489370 + 0.872076i \(0.662773\pi\)
\(420\) 2.49971e6 1.29014e6i 0.691458 0.356873i
\(421\) 1.97391e6 3.41891e6i 0.542777 0.940118i −0.455966 0.889997i \(-0.650706\pi\)
0.998743 0.0501208i \(-0.0159606\pi\)
\(422\) 332555. 65057.0i 0.0909039 0.0177833i
\(423\) 1.70965e6 311389.i 0.464574 0.0846161i
\(424\) 3.00504e6 1.96694e6i 0.811775 0.531344i
\(425\) 1.71862e6 + 992247.i 0.461539 + 0.266470i
\(426\) 3.01627e6 3.14865e6i 0.805278 0.840621i
\(427\) −4.52747e6 + 2.61393e6i −1.20167 + 0.693785i
\(428\) 2.30544e6 + 1.79230e6i 0.608337 + 0.472934i
\(429\) −1.51026e6 + 3.26271e6i −0.396195 + 0.855924i
\(430\) −1.45031e6 497432.i −0.378259 0.129737i
\(431\) −1.88580e6 −0.488992 −0.244496 0.969650i \(-0.578623\pi\)
−0.244496 + 0.969650i \(0.578623\pi\)
\(432\) −1.92532e6 3.36735e6i −0.496356 0.868119i
\(433\) −5.20620e6 −1.33445 −0.667223 0.744858i \(-0.732517\pi\)
−0.667223 + 0.744858i \(0.732517\pi\)
\(434\) −6.81211e6 2.33644e6i −1.73603 0.595430i
\(435\) 641359. 1.38557e6i 0.162509 0.351079i
\(436\) −622088. 483625.i −0.156724 0.121841i
\(437\) 1.04774e6 604915.i 0.262453 0.151527i
\(438\) −3.21070e6 + 3.35161e6i −0.799676 + 0.834772i
\(439\) 451670. + 260772.i 0.111856 + 0.0645802i 0.554884 0.831928i \(-0.312763\pi\)
−0.443028 + 0.896508i \(0.646096\pi\)
\(440\) −1.82014e6 + 1.19136e6i −0.448201 + 0.293368i
\(441\) 125603. 351232.i 0.0307543 0.0859998i
\(442\) 6.32823e6 1.23798e6i 1.54073 0.301410i
\(443\) 2.99887e6 5.19420e6i 0.726020 1.25750i −0.232533 0.972588i \(-0.574701\pi\)
0.958553 0.284915i \(-0.0919652\pi\)
\(444\) 1.26873e6 654812.i 0.305430 0.157637i
\(445\) 358314. + 620618.i 0.0857756 + 0.148568i
\(446\) 2.39147e6 + 2.74440e6i 0.569281 + 0.653296i
\(447\) 5474.50 + 60608.6i 0.00129591 + 0.0143471i
\(448\) −3.57140e6 + 2.63433e6i −0.840705 + 0.620119i
\(449\) 3.49455e6i 0.818043i 0.912525 + 0.409021i \(0.134130\pi\)
−0.912525 + 0.409021i \(0.865870\pi\)
\(450\) −1.89088e6 286261.i −0.440183 0.0666393i
\(451\) 832488.i 0.192724i
\(452\) 3.24552e6 + 448177.i 0.747203 + 0.103182i
\(453\) 960812. 676806.i 0.219985 0.154960i
\(454\) 5.99409e6 5.22324e6i 1.36485 1.18933i
\(455\) −2.25322e6 3.90270e6i −0.510241 0.883764i
\(456\) −899925. 6.11805e6i −0.202672 1.37785i
\(457\) −2.09651e6 + 3.63125e6i −0.469576 + 0.813329i −0.999395 0.0347818i \(-0.988926\pi\)
0.529819 + 0.848111i \(0.322260\pi\)
\(458\) 1.05198e6 + 5.37744e6i 0.234338 + 1.19788i
\(459\) 1.44248e6 + 5.20714e6i 0.319579 + 1.15363i
\(460\) −277195. 681361.i −0.0610788 0.150135i
\(461\) −2.09347e6 1.20867e6i −0.458791 0.264883i 0.252744 0.967533i \(-0.418667\pi\)
−0.711536 + 0.702650i \(0.752000\pi\)
\(462\) −820419. + 3.34774e6i −0.178826 + 0.729705i
\(463\) 1.58353e6 914250.i 0.343299 0.198204i −0.318431 0.947946i \(-0.603156\pi\)
0.661730 + 0.749742i \(0.269822\pi\)
\(464\) −652796. + 2.31858e6i −0.140761 + 0.499951i
\(465\) −3.51368e6 4.98811e6i −0.753580 1.06980i
\(466\) −627408. + 1.82926e6i −0.133840 + 0.390222i
\(467\) −200614. −0.0425666 −0.0212833 0.999773i \(-0.506775\pi\)
−0.0212833 + 0.999773i \(0.506775\pi\)
\(468\) −5.24317e6 + 3.33515e6i −1.10657 + 0.703884i
\(469\) 5.78624e6 1.21469
\(470\) 546485. 1.59333e6i 0.114113 0.332705i
\(471\) −6.60947e6 + 597003.i −1.37282 + 0.124001i
\(472\) 4.02000e6 7.96051e6i 0.830559 1.64470i
\(473\) 1.62700e6 939349.i 0.334376 0.193052i
\(474\) 127201. 37027.7i 0.0260042 0.00756975i
\(475\) −2.64039e6 1.52443e6i −0.536950 0.310008i
\(476\) 5.72614e6 2.32954e6i 1.15836 0.471251i
\(477\) 3.67580e6 3.11979e6i 0.739701 0.627812i
\(478\) 82830.9 + 423411.i 0.0165815 + 0.0847602i
\(479\) 1.61867e6 2.80363e6i 0.322345 0.558318i −0.658626 0.752470i \(-0.728862\pi\)
0.980971 + 0.194152i \(0.0621956\pi\)
\(480\) −3.75971e6 + 33174.4i −0.744821 + 0.00657203i
\(481\) −1.14363e6 1.98082e6i −0.225383 0.390375i
\(482\) 3.85049e6 3.35531e6i 0.754915 0.657832i
\(483\) −1.05770e6 489593.i −0.206297 0.0954921i
\(484\) −340357. + 2.46473e6i −0.0660421 + 0.478252i
\(485\) 3.54427e6i 0.684182i
\(486\) −3.12460e6 4.16534e6i −0.600073 0.799945i
\(487\) 1.36527e6i 0.260853i 0.991458 + 0.130427i \(0.0416347\pi\)
−0.991458 + 0.130427i \(0.958365\pi\)
\(488\) 6.97662e6 390856.i 1.32616 0.0742964i
\(489\) 2.72944e6 + 1.26342e6i 0.516180 + 0.238932i
\(490\) −237537. 272593.i −0.0446931 0.0512889i
\(491\) 3.51968e6 + 6.09627e6i 0.658870 + 1.14120i 0.980908 + 0.194470i \(0.0622987\pi\)
−0.322038 + 0.946727i \(0.604368\pi\)
\(492\) −777348. + 1.21080e6i −0.144778 + 0.225506i
\(493\) 1.67766e6 2.90579e6i 0.310875 0.538451i
\(494\) −9.72231e6 + 1.90195e6i −1.79247 + 0.350657i
\(495\) −2.22641e6 + 1.88964e6i −0.408407 + 0.346630i
\(496\) 6.71980e6 + 6.89194e6i 1.22646 + 1.25787i
\(497\) −5.79947e6 3.34833e6i −1.05317 0.608047i
\(498\) −2.23423e6 7.67521e6i −0.403696 1.38681i
\(499\) 1.49355e6 862300.i 0.268515 0.155027i −0.359698 0.933069i \(-0.617120\pi\)
0.628212 + 0.778042i \(0.283787\pi\)
\(500\) −3.69338e6 + 4.75080e6i −0.660692 + 0.849849i
\(501\) −5.62667e6 + 508232.i −1.00151 + 0.0904622i
\(502\) 1.24062e6 + 425513.i 0.219725 + 0.0753621i
\(503\) 2.08993e6 0.368308 0.184154 0.982897i \(-0.441045\pi\)
0.184154 + 0.982897i \(0.441045\pi\)
\(504\) −4.31925e6 + 4.10298e6i −0.757411 + 0.719487i
\(505\) −6.91095e6 −1.20589
\(506\) 852571. + 292418.i 0.148032 + 0.0507724i
\(507\) 2.39970e6 + 3.40667e6i 0.414607 + 0.588587i
\(508\) −5.94433e6 + 7.64621e6i −1.02198 + 1.31458i
\(509\) 6.20766e6 3.58399e6i 1.06202 0.613158i 0.136030 0.990705i \(-0.456565\pi\)
0.925991 + 0.377546i \(0.123232\pi\)
\(510\) 5.08689e6 + 1.24663e6i 0.866019 + 0.212232i
\(511\) 6.17331e6 + 3.56416e6i 1.04584 + 0.603816i
\(512\) 5.84823e6 991225.i 0.985939 0.167108i
\(513\) −2.21614e6 7.99995e6i −0.371796 1.34213i
\(514\) −2.60075e6 + 508779.i −0.434201 + 0.0849419i
\(515\) 903008. 1.56406e6i 0.150028 0.259857i
\(516\) 3.24349e6 + 153017.i 0.536276 + 0.0252997i
\(517\) 1.03198e6 + 1.78744e6i 0.169803 + 0.294107i
\(518\) −1.44058e6 1.65319e6i −0.235893 0.270706i
\(519\) −3.61844e6 + 2.54886e6i −0.589661 + 0.415363i
\(520\) 336920. + 6.01388e6i 0.0546410 + 0.975318i
\(521\) 2.41840e6i 0.390332i 0.980770 + 0.195166i \(0.0625245\pi\)
−0.980770 + 0.195166i \(0.937475\pi\)
\(522\) −483999. + 3.19704e6i −0.0777442 + 0.513537i
\(523\) 461380.i 0.0737572i 0.999320 + 0.0368786i \(0.0117415\pi\)
−0.999320 + 0.0368786i \(0.988259\pi\)
\(524\) 1.03648e6 7.50581e6i 0.164905 1.19418i
\(525\) 264227. + 2.92528e6i 0.0418387 + 0.463200i
\(526\) −712999. + 621307.i −0.112363 + 0.0979133i
\(527\) −6.70423e6 1.16121e7i −1.05153 1.82131i
\(528\) 2.99588e6 3.49988e6i 0.467669 0.546347i
\(529\) 3.06578e6 5.31009e6i 0.476324 0.825017i
\(530\) −897220. 4.58636e6i −0.138742 0.709216i
\(531\) 4.03109e6 1.12724e7i 0.620421 1.73492i
\(532\) −8.79730e6 + 3.57896e6i −1.34763 + 0.548249i
\(533\) 1.99623e6 + 1.15252e6i 0.304363 + 0.175724i
\(534\) −1.09595e6 1.04987e6i −0.166317 0.159325i
\(535\) 3.29065e6 1.89986e6i 0.497047 0.286970i
\(536\) −6.90355e6 3.48624e6i −1.03791 0.524138i
\(537\) 1.15798e6 2.50164e6i 0.173286 0.374360i
\(538\) 308764. 900230.i 0.0459909 0.134090i
\(539\) 443032. 0.0656845
\(540\) −5.00264e6 + 669405.i −0.738269 + 0.0987880i
\(541\) −7.63668e6 −1.12179 −0.560895 0.827887i \(-0.689543\pi\)
−0.560895 + 0.827887i \(0.689543\pi\)
\(542\) −447731. + 1.30540e6i −0.0654664 + 0.190873i
\(543\) 2.47534e6 5.34763e6i 0.360276 0.778327i
\(544\) −8.23541e6 670666.i −1.19313 0.0971648i
\(545\) −887934. + 512649.i −0.128053 + 0.0739314i
\(546\) 6.89176e6 + 6.60201e6i 0.989347 + 0.947752i
\(547\) 7.86985e6 + 4.54366e6i 1.12460 + 0.649288i 0.942571 0.334005i \(-0.108400\pi\)
0.182029 + 0.983293i \(0.441733\pi\)
\(548\) 3.59560e6 + 8.83820e6i 0.511470 + 1.25722i
\(549\) 9.22827e6 1.68081e6i 1.30674 0.238006i
\(550\) −436084. 2.22915e6i −0.0614700 0.314219i
\(551\) −2.57745e6 + 4.46427e6i −0.361669 + 0.626429i
\(552\) 966955. + 1.22140e6i 0.135070 + 0.170612i
\(553\) −101734. 176209.i −0.0141467 0.0245028i
\(554\) 6.41552e6 5.59048e6i 0.888091 0.773882i
\(555\) −167124. 1.85025e6i −0.0230307 0.254975i
\(556\) −8.47216e6 1.16993e6i −1.16227 0.160499i
\(557\) 1.62713e6i 0.222220i −0.993808 0.111110i \(-0.964559\pi\)
0.993808 0.111110i \(-0.0354406\pi\)
\(558\) 1.00972e7 + 8.06301e6i 1.37283 + 1.09626i
\(559\) 5.20186e6i 0.704092i
\(560\) 1.42391e6 + 5.59623e6i 0.191872 + 0.754094i
\(561\) −5.24650e6 + 3.69569e6i −0.703822 + 0.495779i
\(562\) 2.69411e6 + 3.09170e6i 0.359811 + 0.412912i
\(563\) 6.45320e6 + 1.11773e7i 0.858033 + 1.48616i 0.873802 + 0.486282i \(0.161647\pi\)
−0.0157688 + 0.999876i \(0.505020\pi\)
\(564\) −168107. + 3.56334e6i −0.0222529 + 0.471693i
\(565\) 2.13157e6 3.69199e6i 0.280918 0.486564i
\(566\) −1.34855e6 + 263814.i −0.176940 + 0.0346144i
\(567\) −5.07119e6 + 6.18367e6i −0.662449 + 0.807772i
\(568\) 4.90196e6 + 7.48910e6i 0.637527 + 0.974000i
\(569\) 8.53066e6 + 4.92518e6i 1.10459 + 0.637737i 0.937423 0.348191i \(-0.113204\pi\)
0.167169 + 0.985928i \(0.446537\pi\)
\(570\) −7.81520e6 1.91524e6i −1.00752 0.246909i
\(571\) −1.17778e7 + 6.79994e6i −1.51173 + 0.872800i −0.511829 + 0.859088i \(0.671032\pi\)
−0.999906 + 0.0137129i \(0.995635\pi\)
\(572\) −5.82676e6 4.52986e6i −0.744625 0.578888i
\(573\) 181094. + 257085.i 0.0230418 + 0.0327108i
\(574\) 2.09031e6 + 716944.i 0.264808 + 0.0908250i
\(575\) 768060. 0.0968781
\(576\) 7.62535e6 2.29289e6i 0.957643 0.287957i
\(577\) 3.44416e6 0.430670 0.215335 0.976540i \(-0.430916\pi\)
0.215335 + 0.976540i \(0.430916\pi\)
\(578\) 3.28971e6 + 1.12832e6i 0.409580 + 0.140479i
\(579\) −8.99176e6 + 812184.i −1.11467 + 0.100683i
\(580\) 2.47444e6 + 1.92368e6i 0.305426 + 0.237445i
\(581\) −1.06323e7 + 6.13859e6i −1.30674 + 0.754446i
\(582\) 2.09791e6 + 7.20690e6i 0.256731 + 0.881944i
\(583\) 4.95907e6 + 2.86312e6i 0.604267 + 0.348874i
\(584\) −5.21793e6 7.97184e6i −0.633092 0.967223i
\(585\) 1.44886e6 + 7.95481e6i 0.175040 + 0.961037i
\(586\) 1.47429e6 288413.i 0.177354 0.0346953i
\(587\) −7.32525e6 + 1.26877e7i −0.877460 + 1.51981i −0.0233408 + 0.999728i \(0.507430\pi\)
−0.854119 + 0.520078i \(0.825903\pi\)
\(588\) 644359. + 413687.i 0.0768571 + 0.0493434i
\(589\) 1.03000e7 + 1.78401e7i 1.22334 + 2.11889i
\(590\) −7.62346e6 8.74853e6i −0.901617 1.03468i
\(591\) −7.56925e6 3.50369e6i −0.891423 0.412627i
\(592\) 722705. + 2.84037e6i 0.0847534 + 0.333097i
\(593\) 1.18054e7i 1.37862i −0.724469 0.689308i \(-0.757915\pi\)
0.724469 0.689308i \(-0.242085\pi\)
\(594\) 3.40868e6 5.16024e6i 0.396387 0.600073i
\(595\) 8.04383e6i 0.931474i
\(596\) −123750. 17088.7i −0.0142701 0.00197057i
\(597\) −4.30555e6 1.99298e6i −0.494416 0.228858i
\(598\) 1.88152e6 1.63955e6i 0.215157 0.187488i
\(599\) −943021. 1.63336e6i −0.107388 0.186001i 0.807324 0.590109i \(-0.200915\pi\)
−0.914711 + 0.404108i \(0.867582\pi\)
\(600\) 1.44725e6 3.64934e6i 0.164121 0.413844i
\(601\) −858918. + 1.48769e6i −0.0969987 + 0.168007i −0.910441 0.413639i \(-0.864258\pi\)
0.813442 + 0.581646i \(0.197591\pi\)
\(602\) −957450. 4.89424e6i −0.107677 0.550420i
\(603\) −9.77567e6 3.49586e6i −1.09485 0.391526i
\(604\) 909137. + 2.23471e6i 0.101400 + 0.249247i
\(605\) 2.80379e6 + 1.61877e6i 0.311428 + 0.179803i
\(606\) 1.40527e7 4.09070e6i 1.55446 0.452497i
\(607\) 1.49264e7 8.61776e6i 1.64431 0.949342i 0.665031 0.746816i \(-0.268418\pi\)
0.979277 0.202526i \(-0.0649150\pi\)
\(608\) 1.26524e7 + 1.03037e6i 1.38808 + 0.113041i
\(609\) 4.94595e6 446745.i 0.540389 0.0488109i
\(610\) 2.94980e6 8.60040e6i 0.320973 0.935824i
\(611\) 5.71483e6 0.619299
\(612\) −1.10816e7 + 476126.i −1.19598 + 0.0513858i
\(613\) −1.32119e7 −1.42009 −0.710043 0.704158i \(-0.751325\pi\)
−0.710043 + 0.704158i \(0.751325\pi\)
\(614\) 203154. 592312.i 0.0217472 0.0634059i
\(615\) 1.07818e6 + 1.53062e6i 0.114949 + 0.163184i
\(616\) −6.31595e6 3.18951e6i −0.670637 0.338666i
\(617\) −1.07234e7 + 6.19114e6i −1.13401 + 0.654723i −0.944941 0.327240i \(-0.893882\pi\)
−0.189073 + 0.981963i \(0.560548\pi\)
\(618\) −910385. + 3.71485e6i −0.0958857 + 0.391264i
\(619\) −7.38732e6 4.26507e6i −0.774927 0.447404i 0.0597027 0.998216i \(-0.480985\pi\)
−0.834629 + 0.550812i \(0.814318\pi\)
\(620\) 1.16016e7 4.71984e6i 1.21211 0.493115i
\(621\) 1.49115e6 + 1.46618e6i 0.155165 + 0.152566i
\(622\) −1.85323e6 9.47323e6i −0.192067 0.981798i
\(623\) −1.16545e6 + 2.01862e6i −0.120302 + 0.208370i
\(624\) −4.24480e6 1.20292e7i −0.436411 1.23673i
\(625\) 1.74120e6 + 3.01585e6i 0.178299 + 0.308824i
\(626\) −1.12162e7 + 9.77378e6i −1.14396 + 0.996843i
\(627\) 8.06041e6 5.67784e6i 0.818820 0.576785i
\(628\) 1.86355e6 1.34951e7i 0.188556 1.36545i
\(629\) 4.08266e6i 0.411449i
\(630\) 2.82734e6 + 7.21772e6i 0.283809 + 0.724517i
\(631\) 9.17098e6i 0.916943i −0.888709 0.458471i \(-0.848397\pi\)
0.888709 0.458471i \(-0.151603\pi\)
\(632\) 15212.1 + 271530.i 0.00151495 + 0.0270412i
\(633\) 84002.5 + 929999.i 0.00833265 + 0.0922515i
\(634\) −9.84087e6 1.12932e7i −0.972323 1.11582i
\(635\) 6.30107e6 + 1.09138e7i 0.620126 + 1.07409i
\(636\) 4.53914e6 + 8.79482e6i 0.444970 + 0.862152i
\(637\) 613347. 1.06235e6i 0.0598905 0.103733i
\(638\) −3.76897e6 + 737314.i −0.366581 + 0.0717135i
\(639\) 7.77508e6 + 9.16076e6i 0.753273 + 0.887522i
\(640\) 1.67290e6 7.53477e6i 0.161443 0.727143i
\(641\) 216859. + 125204.i 0.0208465 + 0.0120357i 0.510387 0.859945i \(-0.329502\pi\)
−0.489541 + 0.871981i \(0.662835\pi\)
\(642\) −5.56665e6 + 5.81096e6i −0.533036 + 0.556430i
\(643\) 3.00455e6 1.73468e6i 0.286584 0.165459i −0.349816 0.936818i \(-0.613756\pi\)
0.636400 + 0.771359i \(0.280423\pi\)
\(644\) 1.46848e6 1.88891e6i 0.139525 0.179472i
\(645\) 1.77483e6 3.83427e6i 0.167980 0.362897i
\(646\) −1.67264e7 5.73689e6i −1.57696 0.540873i
\(647\) −4.87131e6 −0.457493 −0.228747 0.973486i \(-0.573463\pi\)
−0.228747 + 0.973486i \(0.573463\pi\)
\(648\) 9.77612e6 4.32231e6i 0.914596 0.404369i
\(649\) 1.42186e7 1.32509
\(650\) −5.94902e6 2.04042e6i −0.552283 0.189424i
\(651\) 8.33638e6 1.80096e7i 0.770948 1.66553i
\(652\) −3.78948e6 + 4.87441e6i −0.349108 + 0.449059i
\(653\) −7.97278e6 + 4.60308e6i −0.731689 + 0.422441i −0.819040 0.573737i \(-0.805493\pi\)
0.0873507 + 0.996178i \(0.472160\pi\)
\(654\) 1.50208e6 1.56800e6i 0.137324 0.143351i
\(655\) −8.53834e6 4.92961e6i −0.777625 0.448962i
\(656\) −2.06199e6 2.11481e6i −0.187080 0.191872i
\(657\) −8.27626e6 9.75125e6i −0.748033 0.881347i
\(658\) 5.37688e6 1.05187e6i 0.484134 0.0947100i
\(659\) −2.00586e6 + 3.47426e6i −0.179923 + 0.311636i −0.941854 0.336022i \(-0.890918\pi\)
0.761931 + 0.647659i \(0.224252\pi\)
\(660\) −2.74934e6 5.32697e6i −0.245679 0.476015i
\(661\) −9.68338e6 1.67721e7i −0.862032 1.49308i −0.869965 0.493114i \(-0.835858\pi\)
0.00793270 0.999969i \(-0.497475\pi\)
\(662\) 1.29819e6 + 1.48978e6i 0.115131 + 0.132122i
\(663\) 1.59849e6 + 1.76971e7i 0.141230 + 1.56357i
\(664\) 1.63840e7 917891.i 1.44211 0.0807925i
\(665\) 1.23581e7i 1.08367i
\(666\) 1.43502e6 + 3.66336e6i 0.125364 + 0.320033i
\(667\) 1.29861e6i 0.113022i
\(668\) 1.58645e6 1.14884e7i 0.137557 0.996139i
\(669\) −8.20079e6 + 5.77672e6i −0.708419 + 0.499018i
\(670\) −7.58694e6 + 6.61125e6i −0.652949 + 0.568979i
\(671\) 5.57039e6 + 9.64820e6i 0.477617 + 0.827256i
\(672\) −6.20786e6 1.05365e7i −0.530297 0.900066i
\(673\) 478155. 828188.i 0.0406940 0.0704841i −0.844961 0.534828i \(-0.820376\pi\)
0.885655 + 0.464344i \(0.153710\pi\)
\(674\) 1.18855e6 + 6.07558e6i 0.100779 + 0.515155i
\(675\) 1.32096e6 5.10180e6i 0.111591 0.430987i
\(676\) −7.92344e6 + 3.22345e6i −0.666879 + 0.271303i
\(677\) −78941.9 45577.1i −0.00661966 0.00382186i 0.496687 0.867930i \(-0.334550\pi\)
−0.503306 + 0.864108i \(0.667883\pi\)
\(678\) −2.14899e6 + 8.76900e6i −0.179539 + 0.732615i
\(679\) 9.98360e6 5.76403e6i 0.831022 0.479791i
\(680\) −4.84645e6 + 9.59708e6i −0.401931 + 0.795916i
\(681\) 1.26170e7 + 1.79115e7i 1.04253 + 1.48001i
\(682\) −4.97905e6 + 1.45169e7i −0.409907 + 1.19512i
\(683\) 44851.1 0.00367893 0.00183946 0.999998i \(-0.499414\pi\)
0.00183946 + 0.999998i \(0.499414\pi\)
\(684\) 1.70251e7 731491.i 1.39139 0.0597818i
\(685\) 1.24155e7 1.01097
\(686\) −3.79592e6 + 1.10673e7i −0.307969 + 0.897910i
\(687\) −1.50382e7 + 1.35833e6i −1.21563 + 0.109803i
\(688\) −1.80648e6 + 6.41618e6i −0.145499 + 0.516780i
\(689\) 1.37310e7 7.92760e6i 1.10193 0.636200i
\(690\) 1.94626e6 566550.i 0.155624 0.0453018i
\(691\) −6.31486e6 3.64589e6i −0.503116 0.290474i 0.226883 0.973922i \(-0.427146\pi\)
−0.730000 + 0.683448i \(0.760480\pi\)
\(692\) −3.42383e6 8.41597e6i −0.271798 0.668096i
\(693\) −8.94361e6 3.19831e6i −0.707424 0.252981i
\(694\) 24357.7 + 124511.i 0.00191972 + 0.00981314i
\(695\) −5.56429e6 + 9.63763e6i −0.436966 + 0.756847i
\(696\) −6.17017e6 2.44695e6i −0.482808 0.191471i
\(697\) 2.05721e6 + 3.56319e6i 0.160397 + 0.277816i
\(698\) 3.19870e6 2.78735e6i 0.248505 0.216547i
\(699\) −4.83614e6 2.23858e6i −0.374374 0.173292i
\(700\) −5.97278e6 824784.i −0.460714 0.0636202i
\(701\) 6.04705e6i 0.464781i −0.972623 0.232390i \(-0.925345\pi\)
0.972623 0.232390i \(-0.0746547\pi\)
\(702\) −7.65469e6 1.53177e7i −0.586253 1.17314i
\(703\) 6.27235e6i 0.478676i
\(704\) 5.61386e6 + 7.61080e6i 0.426904 + 0.578760i
\(705\) 4.21237e6 + 1.94985e6i 0.319194 + 0.147750i
\(706\) 1.23135e7 + 1.41307e7i 0.929757 + 1.06697i
\(707\) −1.12393e7 1.94670e7i −0.845648 1.46470i
\(708\) 2.06799e7 + 1.32768e7i 1.55048 + 0.995428i
\(709\) −5.58690e6 + 9.67680e6i −0.417403 + 0.722963i −0.995677 0.0928793i \(-0.970393\pi\)
0.578275 + 0.815842i \(0.303726\pi\)
\(710\) 1.14300e7 2.23603e6i 0.850945 0.166469i
\(711\) 65417.1 + 359164.i 0.00485308 + 0.0266452i
\(712\) 2.60673e6 1.70622e6i 0.192706 0.126135i
\(713\) −4.49423e6 2.59474e6i −0.331079 0.191148i
\(714\) 4.76127e6 + 1.63563e7i 0.349524 + 1.20071i
\(715\) −8.31680e6 + 4.80170e6i −0.608402 + 0.351261i
\(716\) 4.46760e6 + 3.47321e6i 0.325681 + 0.253191i
\(717\) −1.18408e6 + 106952.i −0.0860167 + 0.00776949i
\(718\) 1.83296e7 + 6.28676e6i 1.32691 + 0.455109i
\(719\) −2.24464e6 −0.161929 −0.0809644 0.996717i \(-0.525800\pi\)
−0.0809644 + 0.996717i \(0.525800\pi\)
\(720\) 975422. 1.03149e7i 0.0701231 0.741541i
\(721\) 5.87424e6 0.420837
\(722\) 1.24482e7 + 4.26953e6i 0.888716 + 0.304815i
\(723\) 8.10494e6 + 1.15060e7i 0.576639 + 0.818613i
\(724\) 9.55016e6 + 7.42450e6i 0.677118 + 0.526406i
\(725\) −2.83415e6 + 1.63629e6i −0.200252 + 0.115616i
\(726\) −6.65940e6 1.63200e6i −0.468915 0.114915i
\(727\) 1.30240e7 + 7.51942e6i 0.913922 + 0.527653i 0.881691 0.471827i \(-0.156405\pi\)
0.0322308 + 0.999480i \(0.489739\pi\)
\(728\) −1.63922e7 + 1.07294e7i −1.14632 + 0.750322i
\(729\) 1.23036e7 7.38327e6i 0.857459 0.514553i
\(730\) −1.21668e7 + 2.38017e6i −0.845025 + 0.165310i
\(731\) 4.64256e6 8.04115e6i 0.321339 0.556576i
\(732\) −907401. + 1.92341e7i −0.0625924 + 1.32676i
\(733\) −4.89083e6 8.47117e6i −0.336220 0.582349i 0.647499 0.762067i \(-0.275815\pi\)
−0.983718 + 0.179717i \(0.942482\pi\)
\(734\) −8.84353e6 1.01487e7i −0.605879 0.695294i
\(735\) 814559. 573784.i 0.0556166 0.0391769i
\(736\) −2.89012e6 + 1.36889e6i −0.196662 + 0.0931478i
\(737\) 1.23307e7i 0.836216i
\(738\) −3.09837e6 2.47416e6i −0.209407 0.167219i
\(739\) 2.52855e7i 1.70318i 0.524209 + 0.851590i \(0.324361\pi\)
−0.524209 + 0.851590i \(0.675639\pi\)
\(740\) 3.77780e6 + 521679.i 0.253606 + 0.0350206i
\(741\) −2.45583e6 2.71887e7i −0.164306 1.81904i
\(742\) 1.14599e7 9.98611e6i 0.764134 0.665866i
\(743\) −8.41816e6 1.45807e7i −0.559429 0.968959i −0.997544 0.0700405i \(-0.977687\pi\)
0.438115 0.898919i \(1.64435\pi\)
\(744\) −2.07970e7 + 1.64645e7i −1.37743 + 1.09048i
\(745\) −81275.4 + 140773.i −0.00536498 + 0.00929242i
\(746\) 927960. + 4.74350e6i 0.0610495 + 0.312070i
\(747\) 2.16718e7 3.94723e6i 1.42100 0.258816i
\(748\) −4.96433e6 1.22026e7i −0.324419 0.797442i
\(749\) 1.07032e7 + 6.17948e6i 0.697120 + 0.402483i
\(750\) −1.19746e7 1.14712e7i −0.777335 0.744653i
\(751\) −1.43169e7 + 8.26588e6i −0.926296 + 0.534797i −0.885638 0.464376i \(-0.846279\pi\)
−0.0406577 + 0.999173i \(0.512945\pi\)
\(752\) −7.04890e6 1.98462e6i −0.454545 0.127977i
\(753\) −1.51822e6 + 3.27990e6i −0.0975770 + 0.210801i
\(754\) −3.44987e6 + 1.00584e7i −0.220991 + 0.644318i
\(755\) 3.13923e6 0.200427
\(756\) −1.00214e7 1.30029e7i −0.637710 0.827441i
\(757\) −3.08664e7 −1.95770 −0.978852 0.204572i \(-0.934420\pi\)
−0.978852 + 0.204572i \(0.934420\pi\)
\(758\) −449694. + 1.31112e6i −0.0284279 + 0.0828840i
\(759\) −1.04334e6 + 2.25399e6i −0.0657388 + 0.142020i
\(760\) 7.44580e6 1.47444e7i 0.467603 0.925961i
\(761\) 2.02092e7 1.16678e7i 1.26499 0.730344i 0.290956 0.956736i \(-0.406027\pi\)