Properties

Label 76.6.f.a.27.13
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.13
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.30431 + 4.59146i) q^{2} +(10.9615 - 18.9858i) q^{3} +(-10.1630 - 30.3432i) q^{4} +(32.1573 - 55.6980i) q^{5} +(50.9526 + 113.064i) q^{6} -65.5487i q^{7} +(172.902 + 53.6003i) q^{8} +(-118.808 - 205.781i) q^{9} +O(q^{10})\) \(q+(-3.30431 + 4.59146i) q^{2} +(10.9615 - 18.9858i) q^{3} +(-10.1630 - 30.3432i) q^{4} +(32.1573 - 55.6980i) q^{5} +(50.9526 + 113.064i) q^{6} -65.5487i q^{7} +(172.902 + 53.6003i) q^{8} +(-118.808 - 205.781i) q^{9} +(149.478 + 331.693i) q^{10} -205.735i q^{11} +(-687.494 - 139.653i) q^{12} +(-519.999 + 300.222i) q^{13} +(300.964 + 216.593i) q^{14} +(-704.982 - 1221.07i) q^{15} +(-817.425 + 616.760i) q^{16} +(-704.492 + 1220.22i) q^{17} +(1337.41 + 134.464i) q^{18} +(-423.996 - 1515.36i) q^{19} +(-2016.87 - 409.694i) q^{20} +(-1244.50 - 718.510i) q^{21} +(944.623 + 679.812i) q^{22} +(2526.45 - 1458.65i) q^{23} +(2912.90 - 2695.14i) q^{24} +(-505.680 - 875.864i) q^{25} +(339.783 - 3379.58i) q^{26} +118.039 q^{27} +(-1988.96 + 666.174i) q^{28} +(2797.82 - 1615.32i) q^{29} +(7935.96 + 797.881i) q^{30} -4141.41 q^{31} +(-130.802 - 5791.14i) q^{32} +(-3906.04 - 2255.16i) q^{33} +(-3274.71 - 7266.62i) q^{34} +(-3650.93 - 2107.87i) q^{35} +(-5036.62 + 5696.38i) q^{36} -3030.27i q^{37} +(8358.75 + 3060.47i) q^{38} +13163.5i q^{39} +(8545.48 - 7906.65i) q^{40} +(-15005.8 - 8663.61i) q^{41} +(7411.21 - 3339.87i) q^{42} +(9801.92 + 5659.14i) q^{43} +(-6242.66 + 2090.89i) q^{44} -15282.1 q^{45} +(-1650.86 + 16419.9i) q^{46} +(-1515.26 + 874.836i) q^{47} +(2749.51 + 22280.1i) q^{48} +12510.4 q^{49} +(5692.42 + 572.316i) q^{50} +(15444.5 + 26750.7i) q^{51} +(14394.5 + 12727.3i) q^{52} +(-20402.5 + 11779.4i) q^{53} +(-390.039 + 541.973i) q^{54} +(-11459.0 - 6615.87i) q^{55} +(3513.43 - 11333.5i) q^{56} +(-33418.1 - 8560.71i) q^{57} +(-1828.18 + 18183.6i) q^{58} +(1219.20 - 2111.72i) q^{59} +(-29886.3 + 33801.2i) q^{60} +(15321.2 + 26537.1i) q^{61} +(13684.5 - 19015.1i) q^{62} +(-13488.7 + 7787.70i) q^{63} +(27022.0 + 18535.2i) q^{64} +38617.3i q^{65} +(23261.2 - 10482.7i) q^{66} +(-16352.7 - 28323.7i) q^{67} +(44185.1 + 8975.46i) q^{68} -63955.6i q^{69} +(21742.0 - 9798.07i) q^{70} +(33582.7 - 58167.0i) q^{71} +(-9512.15 - 41948.1i) q^{72} +(36861.6 - 63846.2i) q^{73} +(13913.4 + 10013.0i) q^{74} -22172.0 q^{75} +(-41672.0 + 28266.1i) q^{76} -13485.6 q^{77} +(-60439.7 - 43496.3i) q^{78} +(4630.21 - 8019.77i) q^{79} +(8066.14 + 65362.3i) q^{80} +(30164.2 - 52245.9i) q^{81} +(89362.5 - 40271.4i) q^{82} +105589. i q^{83} +(-9154.06 + 45064.3i) q^{84} +(45309.1 + 78477.6i) q^{85} +(-58372.3 + 26305.6i) q^{86} -70825.2i q^{87} +(11027.4 - 35571.9i) q^{88} +(5182.24 - 2991.97i) q^{89} +(50497.0 - 70167.4i) q^{90} +(19679.1 + 34085.3i) q^{91} +(-69936.5 - 61836.4i) q^{92} +(-45396.0 + 78628.2i) q^{93} +(990.117 - 9847.99i) q^{94} +(-98037.3 - 25114.2i) q^{95} +(-111383. - 60996.1i) q^{96} +(-54007.8 - 31181.4i) q^{97} +(-41338.2 + 57440.9i) q^{98} +(-42336.3 + 24442.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.30431 + 4.59146i −0.584125 + 0.811663i
\(3\) 10.9615 18.9858i 0.703179 1.21794i −0.264166 0.964477i \(-0.585097\pi\)
0.967345 0.253464i \(-0.0815701\pi\)
\(4\) −10.1630 30.3432i −0.317595 0.948226i
\(5\) 32.1573 55.6980i 0.575247 0.996357i −0.420768 0.907168i \(-0.638239\pi\)
0.996015 0.0891884i \(-0.0284273\pi\)
\(6\) 50.9526 + 113.064i 0.577814 + 1.28218i
\(7\) 65.5487i 0.505614i −0.967517 0.252807i \(-0.918646\pi\)
0.967517 0.252807i \(-0.0813537\pi\)
\(8\) 172.902 + 53.6003i 0.955156 + 0.296103i
\(9\) −118.808 205.781i −0.488921 0.846836i
\(10\) 149.478 + 331.693i 0.472690 + 1.04890i
\(11\) 205.735i 0.512656i −0.966590 0.256328i \(-0.917487\pi\)
0.966590 0.256328i \(-0.0825127\pi\)
\(12\) −687.494 139.653i −1.37821 0.279960i
\(13\) −519.999 + 300.222i −0.853384 + 0.492701i −0.861791 0.507263i \(-0.830657\pi\)
0.00840724 + 0.999965i \(0.497324\pi\)
\(14\) 300.964 + 216.593i 0.410388 + 0.295342i
\(15\) −704.982 1221.07i −0.809003 1.40123i
\(16\) −817.425 + 616.760i −0.798267 + 0.602304i
\(17\) −704.492 + 1220.22i −0.591226 + 1.02403i 0.402841 + 0.915270i \(0.368023\pi\)
−0.994068 + 0.108764i \(0.965311\pi\)
\(18\) 1337.41 + 134.464i 0.972937 + 0.0978191i
\(19\) −423.996 1515.36i −0.269450 0.963015i
\(20\) −2016.87 409.694i −1.12747 0.229026i
\(21\) −1244.50 718.510i −0.615808 0.355537i
\(22\) 944.623 + 679.812i 0.416104 + 0.299455i
\(23\) 2526.45 1458.65i 0.995843 0.574950i 0.0888273 0.996047i \(-0.471688\pi\)
0.907016 + 0.421097i \(0.138355\pi\)
\(24\) 2912.90 2695.14i 1.03228 0.955111i
\(25\) −505.680 875.864i −0.161818 0.280277i
\(26\) 339.783 3379.58i 0.0985754 0.980460i
\(27\) 118.039 0.0311614
\(28\) −1988.96 + 666.174i −0.479436 + 0.160580i
\(29\) 2797.82 1615.32i 0.617767 0.356668i −0.158232 0.987402i \(-0.550580\pi\)
0.775999 + 0.630734i \(0.217246\pi\)
\(30\) 7935.96 + 797.881i 1.60989 + 0.161858i
\(31\) −4141.41 −0.774006 −0.387003 0.922078i \(-0.626490\pi\)
−0.387003 + 0.922078i \(0.626490\pi\)
\(32\) −130.802 5791.14i −0.0225807 0.999745i
\(33\) −3906.04 2255.16i −0.624385 0.360489i
\(34\) −3274.71 7266.62i −0.485821 1.07804i
\(35\) −3650.93 2107.87i −0.503772 0.290853i
\(36\) −5036.62 + 5696.38i −0.647714 + 0.732559i
\(37\) 3030.27i 0.363896i −0.983308 0.181948i \(-0.941760\pi\)
0.983308 0.181948i \(-0.0582402\pi\)
\(38\) 8358.75 + 3060.47i 0.939036 + 0.343819i
\(39\) 13163.5i 1.38583i
\(40\) 8545.48 7906.65i 0.844474 0.781344i
\(41\) −15005.8 8663.61i −1.39412 0.804895i −0.400351 0.916362i \(-0.631112\pi\)
−0.993768 + 0.111467i \(0.964445\pi\)
\(42\) 7411.21 3339.87i 0.648285 0.292151i
\(43\) 9801.92 + 5659.14i 0.808425 + 0.466744i 0.846409 0.532534i \(-0.178760\pi\)
−0.0379835 + 0.999278i \(0.512093\pi\)
\(44\) −6242.66 + 2090.89i −0.486114 + 0.162817i
\(45\) −15282.1 −1.12500
\(46\) −1650.86 + 16419.9i −0.115031 + 1.14413i
\(47\) −1515.26 + 874.836i −0.100056 + 0.0577673i −0.549193 0.835696i \(-0.685065\pi\)
0.449137 + 0.893463i \(0.351731\pi\)
\(48\) 2749.51 + 22280.1i 0.172247 + 1.39577i
\(49\) 12510.4 0.744355
\(50\) 5692.42 + 572.316i 0.322012 + 0.0323751i
\(51\) 15444.5 + 26750.7i 0.831476 + 1.44016i
\(52\) 14394.5 + 12727.3i 0.738223 + 0.652722i
\(53\) −20402.5 + 11779.4i −0.997684 + 0.576013i −0.907562 0.419918i \(-0.862059\pi\)
−0.0901214 + 0.995931i \(0.528726\pi\)
\(54\) −390.039 + 541.973i −0.0182022 + 0.0252926i
\(55\) −11459.0 6615.87i −0.510788 0.294904i
\(56\) 3513.43 11333.5i 0.149714 0.482940i
\(57\) −33418.1 8560.71i −1.36237 0.348998i
\(58\) −1828.18 + 18183.6i −0.0713590 + 0.709757i
\(59\) 1219.20 2111.72i 0.0455980 0.0789780i −0.842326 0.538969i \(-0.818814\pi\)
0.887924 + 0.459991i \(0.152147\pi\)
\(60\) −29886.3 + 33801.2i −1.07175 + 1.21214i
\(61\) 15321.2 + 26537.1i 0.527191 + 0.913121i 0.999498 + 0.0316872i \(0.0100880\pi\)
−0.472307 + 0.881434i \(0.656579\pi\)
\(62\) 13684.5 19015.1i 0.452117 0.628233i
\(63\) −13488.7 + 7787.70i −0.428172 + 0.247205i
\(64\) 27022.0 + 18535.2i 0.824647 + 0.565648i
\(65\) 38617.3i 1.13370i
\(66\) 23261.2 10482.7i 0.657314 0.296220i
\(67\) −16352.7 28323.7i −0.445043 0.770837i 0.553012 0.833173i \(-0.313478\pi\)
−0.998055 + 0.0623360i \(0.980145\pi\)
\(68\) 44185.1 + 8975.46i 1.15879 + 0.235388i
\(69\) 63955.6i 1.61717i
\(70\) 21742.0 9798.07i 0.530340 0.238999i
\(71\) 33582.7 58167.0i 0.790624 1.36940i −0.134958 0.990851i \(-0.543090\pi\)
0.925581 0.378549i \(-0.123577\pi\)
\(72\) −9512.15 41948.1i −0.216246 0.953632i
\(73\) 36861.6 63846.2i 0.809594 1.40226i −0.103551 0.994624i \(-0.533021\pi\)
0.913145 0.407634i \(-0.133646\pi\)
\(74\) 13913.4 + 10013.0i 0.295361 + 0.212561i
\(75\) −22172.0 −0.455147
\(76\) −41672.0 + 28266.1i −0.827580 + 0.561348i
\(77\) −13485.6 −0.259206
\(78\) −60439.7 43496.3i −1.12483 0.809498i
\(79\) 4630.21 8019.77i 0.0834706 0.144575i −0.821268 0.570543i \(-0.806733\pi\)
0.904738 + 0.425967i \(0.140066\pi\)
\(80\) 8066.14 + 65362.3i 0.140910 + 1.14183i
\(81\) 30164.2 52245.9i 0.510833 0.884789i
\(82\) 89362.5 40271.4i 1.46764 0.661396i
\(83\) 105589.i 1.68238i 0.540740 + 0.841190i \(0.318144\pi\)
−0.540740 + 0.841190i \(0.681856\pi\)
\(84\) −9154.06 + 45064.3i −0.141552 + 0.696842i
\(85\) 45309.1 + 78477.6i 0.680202 + 1.17814i
\(86\) −58372.3 + 26305.6i −0.851061 + 0.383532i
\(87\) 70825.2i 1.00320i
\(88\) 11027.4 35571.9i 0.151799 0.489666i
\(89\) 5182.24 2991.97i 0.0693494 0.0400389i −0.464924 0.885350i \(-0.653918\pi\)
0.534274 + 0.845312i \(0.320585\pi\)
\(90\) 50497.0 70167.4i 0.657142 0.913123i
\(91\) 19679.1 + 34085.3i 0.249117 + 0.431483i
\(92\) −69936.5 61836.4i −0.861458 0.761683i
\(93\) −45396.0 + 78628.2i −0.544265 + 0.942694i
\(94\) 990.117 9847.99i 0.0115576 0.114955i
\(95\) −98037.3 25114.2i −1.11451 0.285503i
\(96\) −111383. 60996.1i −1.23351 0.675498i
\(97\) −54007.8 31181.4i −0.582810 0.336486i 0.179439 0.983769i \(-0.442572\pi\)
−0.762249 + 0.647284i \(0.775905\pi\)
\(98\) −41338.2 + 57440.9i −0.434796 + 0.604166i
\(99\) −42336.3 + 24442.9i −0.434136 + 0.250648i
\(100\) −21437.3 + 24245.4i −0.214373 + 0.242454i
\(101\) 4742.13 + 8213.62i 0.0462562 + 0.0801182i 0.888227 0.459406i \(-0.151938\pi\)
−0.841970 + 0.539524i \(0.818604\pi\)
\(102\) −173858. 17479.7i −1.65461 0.166354i
\(103\) 186473. 1.73190 0.865951 0.500129i \(-0.166714\pi\)
0.865951 + 0.500129i \(0.166714\pi\)
\(104\) −106001. + 24036.7i −0.961005 + 0.217918i
\(105\) −80039.2 + 46210.7i −0.708483 + 0.409043i
\(106\) 13331.6 132600.i 0.115244 1.14625i
\(107\) 104789. 0.884822 0.442411 0.896812i \(-0.354123\pi\)
0.442411 + 0.896812i \(0.354123\pi\)
\(108\) −1199.64 3581.70i −0.00989673 0.0295481i
\(109\) 201966. + 116605.i 1.62822 + 0.940053i 0.984624 + 0.174687i \(0.0558915\pi\)
0.643596 + 0.765366i \(0.277442\pi\)
\(110\) 68240.7 30752.8i 0.537727 0.242327i
\(111\) −57532.2 33216.2i −0.443204 0.255884i
\(112\) 40427.8 + 53581.1i 0.304533 + 0.403614i
\(113\) 35255.2i 0.259733i 0.991531 + 0.129867i \(0.0414549\pi\)
−0.991531 + 0.129867i \(0.958545\pi\)
\(114\) 149730. 125150.i 1.07906 0.901925i
\(115\) 187624.i 1.32295i
\(116\) −77448.4 68478.3i −0.534401 0.472507i
\(117\) 123560. + 71337.4i 0.834475 + 0.481784i
\(118\) 5667.26 + 12575.7i 0.0374686 + 0.0831433i
\(119\) 79983.5 + 46178.5i 0.517765 + 0.298932i
\(120\) −56443.2 248912.i −0.357815 1.57795i
\(121\) 118724. 0.737184
\(122\) −172470. 17340.1i −1.04909 0.105476i
\(123\) −328972. + 189932.i −1.96063 + 1.13197i
\(124\) 42089.4 + 125664.i 0.245821 + 0.733933i
\(125\) 135938. 0.778153
\(126\) 8813.91 87665.8i 0.0494587 0.491930i
\(127\) 25347.8 + 43903.6i 0.139454 + 0.241541i 0.927290 0.374344i \(-0.122132\pi\)
−0.787836 + 0.615885i \(0.788799\pi\)
\(128\) −174393. + 62824.6i −0.940813 + 0.338926i
\(129\) 214887. 124065.i 1.13694 0.656410i
\(130\) −177310. 127603.i −0.920183 0.662223i
\(131\) −185329. 107000.i −0.943551 0.544760i −0.0524796 0.998622i \(-0.516712\pi\)
−0.891072 + 0.453862i \(0.850046\pi\)
\(132\) −28731.4 + 141441.i −0.143523 + 0.706548i
\(133\) −99330.1 + 27792.4i −0.486913 + 0.136237i
\(134\) 184081. + 18507.5i 0.885621 + 0.0890403i
\(135\) 3795.83 6574.56i 0.0179255 0.0310479i
\(136\) −187212. + 173216.i −0.867932 + 0.803048i
\(137\) −155384. 269133.i −0.707302 1.22508i −0.965854 0.259086i \(-0.916579\pi\)
0.258552 0.965997i \(-0.416755\pi\)
\(138\) 293650. + 211329.i 1.31260 + 0.944631i
\(139\) 364507. 210448.i 1.60018 0.923864i 0.608729 0.793378i \(-0.291679\pi\)
0.991450 0.130486i \(-0.0416538\pi\)
\(140\) −26854.9 + 132203.i −0.115799 + 0.570063i
\(141\) 38358.0i 0.162483i
\(142\) 156104. + 346395.i 0.649669 + 1.44162i
\(143\) 61766.0 + 106982.i 0.252586 + 0.437492i
\(144\) 224034. + 94934.8i 0.900343 + 0.381522i
\(145\) 207777.i 0.820688i
\(146\) 171345. + 380216.i 0.665257 + 1.47621i
\(147\) 137132. 237520.i 0.523415 0.906581i
\(148\) −91948.2 + 30796.8i −0.345056 + 0.115572i
\(149\) −172880. + 299437.i −0.637939 + 1.10494i 0.347946 + 0.937515i \(0.386879\pi\)
−0.985884 + 0.167428i \(0.946454\pi\)
\(150\) 73263.2 101802.i 0.265863 0.369426i
\(151\) −66543.1 −0.237498 −0.118749 0.992924i \(-0.537888\pi\)
−0.118749 + 0.992924i \(0.537888\pi\)
\(152\) 7914.35 284735.i 0.0277847 0.999614i
\(153\) 334797. 1.15625
\(154\) 44560.7 61918.8i 0.151409 0.210388i
\(155\) −133177. + 230669.i −0.445245 + 0.771186i
\(156\) 399423. 133781.i 1.31408 0.440133i
\(157\) −71337.2 + 123560.i −0.230976 + 0.400062i −0.958096 0.286449i \(-0.907525\pi\)
0.727120 + 0.686511i \(0.240859\pi\)
\(158\) 21522.8 + 47759.3i 0.0685892 + 0.152200i
\(159\) 516477.i 1.62016i
\(160\) −326761. 178942.i −1.00909 0.552602i
\(161\) −95612.3 165605.i −0.290703 0.503512i
\(162\) 140213. + 311135.i 0.419760 + 0.931453i
\(163\) 419667.i 1.23719i −0.785711 0.618594i \(-0.787703\pi\)
0.785711 0.618594i \(-0.212297\pi\)
\(164\) −110377. + 543374.i −0.320457 + 1.57757i
\(165\) −251215. + 145039.i −0.718351 + 0.414740i
\(166\) −484808. 348899.i −1.36553 0.982720i
\(167\) 49308.0 + 85404.0i 0.136813 + 0.236966i 0.926288 0.376815i \(-0.122981\pi\)
−0.789476 + 0.613782i \(0.789648\pi\)
\(168\) −176663. 190937.i −0.482917 0.521936i
\(169\) −5380.25 + 9318.86i −0.0144906 + 0.0250984i
\(170\) −510042. 51279.6i −1.35358 0.136089i
\(171\) −261459. + 267287.i −0.683776 + 0.699018i
\(172\) 72099.3 354936.i 0.185827 0.914806i
\(173\) −103108. 59529.6i −0.261926 0.151223i 0.363287 0.931677i \(-0.381654\pi\)
−0.625213 + 0.780454i \(0.714988\pi\)
\(174\) 325191. + 234029.i 0.814265 + 0.585997i
\(175\) −57411.7 + 33146.7i −0.141712 + 0.0818172i
\(176\) 126889. + 168173.i 0.308775 + 0.409236i
\(177\) −26728.5 46295.1i −0.0641271 0.111071i
\(178\) −3386.23 + 33680.5i −0.00801063 + 0.0796761i
\(179\) −538243. −1.25558 −0.627792 0.778381i \(-0.716041\pi\)
−0.627792 + 0.778381i \(0.716041\pi\)
\(180\) 155313. + 463710.i 0.357295 + 1.06676i
\(181\) −174682. + 100852.i −0.396324 + 0.228818i −0.684897 0.728640i \(-0.740153\pi\)
0.288572 + 0.957458i \(0.406819\pi\)
\(182\) −221527. 22272.3i −0.495734 0.0498411i
\(183\) 671771. 1.48284
\(184\) 515011. 116784.i 1.12143 0.254296i
\(185\) −168780. 97445.2i −0.362570 0.209330i
\(186\) −211016. 468246.i −0.447232 0.992411i
\(187\) 251041. + 144938.i 0.524977 + 0.303095i
\(188\) 41945.0 + 37086.9i 0.0865538 + 0.0765290i
\(189\) 7737.33i 0.0157557i
\(190\) 439257. 367149.i 0.882744 0.737834i
\(191\) 317357.i 0.629454i 0.949182 + 0.314727i \(0.101913\pi\)
−0.949182 + 0.314727i \(0.898087\pi\)
\(192\) 648107. 309863.i 1.26880 0.606619i
\(193\) −323436. 186736.i −0.625022 0.360857i 0.153800 0.988102i \(-0.450849\pi\)
−0.778822 + 0.627245i \(0.784182\pi\)
\(194\) 321627. 144942.i 0.613547 0.276496i
\(195\) 733181. + 423302.i 1.38078 + 0.797194i
\(196\) −127143. 379605.i −0.236404 0.705817i
\(197\) 1.08883e6 1.99892 0.999458 0.0329320i \(-0.0104845\pi\)
0.999458 + 0.0329320i \(0.0104845\pi\)
\(198\) 27663.8 275153.i 0.0501475 0.498782i
\(199\) −426481. + 246229.i −0.763426 + 0.440764i −0.830525 0.556982i \(-0.811959\pi\)
0.0670983 + 0.997746i \(0.478626\pi\)
\(200\) −40486.4 178543.i −0.0715706 0.315622i
\(201\) −716998. −1.25178
\(202\) −53382.0 5367.02i −0.0920484 0.00925454i
\(203\) −105882. 183393.i −0.180336 0.312351i
\(204\) 654740. 740506.i 1.10152 1.24581i
\(205\) −965092. + 557196.i −1.60393 + 0.926027i
\(206\) −616166. + 856185.i −1.01165 + 1.40572i
\(207\) −600324. 346597.i −0.973778 0.562211i
\(208\) 239896. 566123.i 0.384472 0.907304i
\(209\) −311763. + 87230.6i −0.493695 + 0.138135i
\(210\) 52300.0 520191.i 0.0818377 0.813982i
\(211\) 215500. 373257.i 0.333228 0.577168i −0.649915 0.760007i \(-0.725195\pi\)
0.983143 + 0.182839i \(0.0585287\pi\)
\(212\) 564775. + 499363.i 0.863050 + 0.763091i
\(213\) −736232. 1.27519e6i −1.11190 1.92587i
\(214\) −346255. + 481134.i −0.516847 + 0.718178i
\(215\) 630406. 363965.i 0.930088 0.536987i
\(216\) 20409.2 + 6326.95i 0.0297640 + 0.00922699i
\(217\) 271464.i 0.391348i
\(218\) −1.20275e6 + 542021.i −1.71409 + 0.772458i
\(219\) −808115. 1.39970e6i −1.13858 1.97208i
\(220\) −84288.3 + 414941.i −0.117412 + 0.578003i
\(221\) 846015.i 1.16519i
\(222\) 342615. 154400.i 0.466578 0.210264i
\(223\) 22631.6 39199.1i 0.0304757 0.0527855i −0.850385 0.526160i \(-0.823631\pi\)
0.880861 + 0.473375i \(0.156964\pi\)
\(224\) −379602. + 8573.87i −0.505485 + 0.0114171i
\(225\) −120158. + 208119.i −0.158232 + 0.274066i
\(226\) −161873. 116494.i −0.210816 0.151717i
\(227\) −297272. −0.382903 −0.191452 0.981502i \(-0.561320\pi\)
−0.191452 + 0.981502i \(0.561320\pi\)
\(228\) 79869.6 + 1.10102e6i 0.101752 + 1.40267i
\(229\) 1.03706e6 1.30681 0.653407 0.757007i \(-0.273339\pi\)
0.653407 + 0.757007i \(0.273339\pi\)
\(230\) 861470. + 619969.i 1.07379 + 0.772770i
\(231\) −147822. + 256036.i −0.182268 + 0.315697i
\(232\) 570329. 129328.i 0.695674 0.157751i
\(233\) 149975. 259764.i 0.180979 0.313465i −0.761235 0.648476i \(-0.775407\pi\)
0.942214 + 0.335011i \(0.108740\pi\)
\(234\) −735824. + 331600.i −0.878485 + 0.395890i
\(235\) 112529.i 0.132922i
\(236\) −76467.2 15533.0i −0.0893707 0.0181542i
\(237\) −101508. 175817.i −0.117389 0.203325i
\(238\) −476317. + 214653.i −0.545072 + 0.245638i
\(239\) 894768.i 1.01325i −0.862167 0.506624i \(-0.830893\pi\)
0.862167 0.506624i \(-0.169107\pi\)
\(240\) 1.32937e6 + 563324.i 1.48977 + 0.631292i
\(241\) −1.39170e6 + 803499.i −1.54349 + 0.891133i −0.544873 + 0.838519i \(0.683422\pi\)
−0.998615 + 0.0526143i \(0.983245\pi\)
\(242\) −392302. + 545118.i −0.430608 + 0.598345i
\(243\) −646946. 1.12054e6i −0.702834 1.21734i
\(244\) 649511. 734592.i 0.698412 0.789899i
\(245\) 402299. 696803.i 0.428188 0.741643i
\(246\) 214960. 2.13806e6i 0.226475 2.25259i
\(247\) 675423. + 660695.i 0.704423 + 0.689063i
\(248\) −716058. 221981.i −0.739297 0.229185i
\(249\) 2.00470e6 + 1.15741e6i 2.04904 + 1.18301i
\(250\) −449181. + 624153.i −0.454539 + 0.631598i
\(251\) −1.50808e6 + 870691.i −1.51092 + 0.872328i −0.510997 + 0.859582i \(0.670724\pi\)
−0.999919 + 0.0127454i \(0.995943\pi\)
\(252\) 373390. + 330144.i 0.370392 + 0.327493i
\(253\) −300094. 519778.i −0.294752 0.510525i
\(254\) −285339. 28687.9i −0.277509 0.0279007i
\(255\) 1.98662e6 1.91321
\(256\) 287791. 1.00831e6i 0.274459 0.961599i
\(257\) 156186. 90174.1i 0.147506 0.0851626i −0.424431 0.905460i \(-0.639526\pi\)
0.571936 + 0.820298i \(0.306192\pi\)
\(258\) −140414. + 1.39659e6i −0.131329 + 1.30623i
\(259\) −198630. −0.183991
\(260\) 1.17177e6 392469.i 1.07500 0.360058i
\(261\) −664805. 383826.i −0.604078 0.348765i
\(262\) 1.10367e6 497371.i 0.993314 0.447638i
\(263\) 456694. + 263672.i 0.407133 + 0.235058i 0.689557 0.724231i \(-0.257805\pi\)
−0.282424 + 0.959290i \(0.591139\pi\)
\(264\) −554485. 599285.i −0.489643 0.529205i
\(265\) 1.51517e6i 1.32540i
\(266\) 200610. 547905.i 0.173840 0.474789i
\(267\) 131186.i 0.112618i
\(268\) −693239. + 784048.i −0.589585 + 0.666816i
\(269\) 275543. + 159085.i 0.232171 + 0.134044i 0.611573 0.791188i \(-0.290537\pi\)
−0.379402 + 0.925232i \(0.623870\pi\)
\(270\) 17644.3 + 39152.8i 0.0147297 + 0.0326854i
\(271\) 792941. + 457804.i 0.655870 + 0.378666i 0.790701 0.612202i \(-0.209716\pi\)
−0.134832 + 0.990868i \(0.543049\pi\)
\(272\) −176711. 1.43194e6i −0.144824 1.17355i
\(273\) 862850. 0.700694
\(274\) 1.74915e6 + 175860.i 1.40751 + 0.141511i
\(275\) −180196. + 104036.i −0.143685 + 0.0829568i
\(276\) −1.94062e6 + 649984.i −1.53344 + 0.513606i
\(277\) 1.72464e6 1.35051 0.675256 0.737583i \(-0.264033\pi\)
0.675256 + 0.737583i \(0.264033\pi\)
\(278\) −238180. + 2.36901e6i −0.184839 + 1.83846i
\(279\) 492033. + 852225.i 0.378428 + 0.655457i
\(280\) −518270. 560145.i −0.395058 0.426978i
\(281\) 58936.5 34027.0i 0.0445265 0.0257074i −0.477572 0.878593i \(-0.658483\pi\)
0.522098 + 0.852886i \(0.325150\pi\)
\(282\) −176119. 126747.i −0.131882 0.0949104i
\(283\) 632993. + 365459.i 0.469822 + 0.271252i 0.716165 0.697931i \(-0.245896\pi\)
−0.246343 + 0.969183i \(0.579229\pi\)
\(284\) −2.10628e6 427855.i −1.54960 0.314775i
\(285\) −1.55145e6 + 1.58603e6i −1.13142 + 1.15664i
\(286\) −695298. 69905.2i −0.502638 0.0505352i
\(287\) −567888. + 983611.i −0.406966 + 0.704886i
\(288\) −1.17617e6 + 714950.i −0.835580 + 0.507919i
\(289\) −282689. 489631.i −0.199097 0.344846i
\(290\) 954001. + 686561.i 0.666122 + 0.479385i
\(291\) −1.18401e6 + 683588.i −0.819639 + 0.473219i
\(292\) −2.31193e6 469629.i −1.58678 0.322328i
\(293\) 1.92963e6i 1.31312i 0.754272 + 0.656562i \(0.227990\pi\)
−0.754272 + 0.656562i \(0.772010\pi\)
\(294\) 637436. + 1.41448e6i 0.430099 + 0.954393i
\(295\) −78412.4 135814.i −0.0524602 0.0908637i
\(296\) 162423. 523939.i 0.107750 0.347577i
\(297\) 24284.8i 0.0159751i
\(298\) −803604. 1.78320e6i −0.524205 1.16322i
\(299\) −875834. + 1.51699e6i −0.566558 + 0.981307i
\(300\) 225335. + 672771.i 0.144553 + 0.431583i
\(301\) 370949. 642503.i 0.235992 0.408751i
\(302\) 219879. 305530.i 0.138729 0.192769i
\(303\) 207923. 0.130106
\(304\) 1.28120e6 + 977193.i 0.795120 + 0.606452i
\(305\) 1.97075e6 1.21306
\(306\) −1.10627e6 + 1.53721e6i −0.675396 + 0.938488i
\(307\) −258774. + 448209.i −0.156702 + 0.271416i −0.933677 0.358115i \(-0.883420\pi\)
0.776976 + 0.629531i \(0.216753\pi\)
\(308\) 137055. + 409198.i 0.0823225 + 0.245786i
\(309\) 2.04402e6 3.54035e6i 1.21784 2.10936i
\(310\) −619049. 1.37368e6i −0.365865 0.811858i
\(311\) 55808.2i 0.0327187i 0.999866 + 0.0163594i \(0.00520758\pi\)
−0.999866 + 0.0163594i \(0.994792\pi\)
\(312\) −705567. + 2.27599e6i −0.410348 + 1.32368i
\(313\) 459230. + 795410.i 0.264953 + 0.458913i 0.967551 0.252674i \(-0.0813101\pi\)
−0.702598 + 0.711587i \(0.747977\pi\)
\(314\) −331599. 735821.i −0.189797 0.421161i
\(315\) 1.00172e6i 0.568816i
\(316\) −290403. 58990.5i −0.163600 0.0332326i
\(317\) −1.83683e6 + 1.06050e6i −1.02665 + 0.592736i −0.916023 0.401127i \(-0.868619\pi\)
−0.110625 + 0.993862i \(0.535285\pi\)
\(318\) −2.37138e6 1.70660e6i −1.31503 0.946377i
\(319\) −332328. 575608.i −0.182848 0.316702i
\(320\) 1.90133e6 909033.i 1.03796 0.496255i
\(321\) 1.14864e6 1.98950e6i 0.622188 1.07766i
\(322\) 1.07630e6 + 108211.i 0.578489 + 0.0581612i
\(323\) 2.14777e6 + 550195.i 1.14546 + 0.293434i
\(324\) −1.89187e6 384302.i −1.00122 0.203381i
\(325\) 525907. + 303633.i 0.276185 + 0.159456i
\(326\) 1.92688e6 + 1.38671e6i 1.00418 + 0.722672i
\(327\) 4.42770e6 2.55633e6i 2.28986 1.32205i
\(328\) −2.13016e6 2.30227e6i −1.09327 1.18160i
\(329\) 57344.3 + 99323.3i 0.0292079 + 0.0505896i
\(330\) 164152. 1.63270e6i 0.0829775 0.825319i
\(331\) −1.75591e6 −0.880913 −0.440457 0.897774i \(-0.645183\pi\)
−0.440457 + 0.897774i \(0.645183\pi\)
\(332\) 3.20392e6 1.07311e6i 1.59528 0.534316i
\(333\) −623573. + 360020.i −0.308160 + 0.177916i
\(334\) −555058. 55805.5i −0.272253 0.0273723i
\(335\) −2.10343e6 −1.02404
\(336\) 1.46043e6 180227.i 0.705720 0.0870906i
\(337\) 3.35960e6 + 1.93967e6i 1.61144 + 0.930363i 0.989038 + 0.147663i \(0.0471751\pi\)
0.622399 + 0.782700i \(0.286158\pi\)
\(338\) −25009.2 55495.6i −0.0119072 0.0264221i
\(339\) 669350. + 386449.i 0.316340 + 0.182639i
\(340\) 1.92079e6 2.17240e6i 0.901119 1.01916i
\(341\) 852032.i 0.396799i
\(342\) −363297. 2.08368e6i −0.167956 0.963310i
\(343\) 1.92171e6i 0.881970i
\(344\) 1.39144e6 + 1.50386e6i 0.633968 + 0.685191i
\(345\) −3.56220e6 2.05664e6i −1.61128 0.930273i
\(346\) 614030. 276713.i 0.275740 0.124262i
\(347\) −2.34059e6 1.35134e6i −1.04352 0.602478i −0.122693 0.992445i \(-0.539153\pi\)
−0.920829 + 0.389967i \(0.872486\pi\)
\(348\) −2.14907e6 + 719800.i −0.951265 + 0.318613i
\(349\) 765545. 0.336440 0.168220 0.985749i \(-0.446198\pi\)
0.168220 + 0.985749i \(0.446198\pi\)
\(350\) 37514.5 373131.i 0.0163693 0.162814i
\(351\) −61380.4 + 35438.0i −0.0265927 + 0.0153533i
\(352\) −1.19144e6 + 26910.4i −0.512525 + 0.0115761i
\(353\) 2.45053e6 1.04670 0.523351 0.852117i \(-0.324682\pi\)
0.523351 + 0.852117i \(0.324682\pi\)
\(354\) 300882. + 30250.6i 0.127611 + 0.0128300i
\(355\) −2.15986e6 3.74098e6i −0.909607 1.57549i
\(356\) −143453. 126838.i −0.0599910 0.0530428i
\(357\) 1.75347e6 1.01237e6i 0.728163 0.420405i
\(358\) 1.77852e6 2.47132e6i 0.733418 1.01911i
\(359\) −398447. 230043.i −0.163168 0.0942049i 0.416193 0.909276i \(-0.363364\pi\)
−0.579360 + 0.815072i \(0.696698\pi\)
\(360\) −2.64231e6 819128.i −1.07455 0.333116i
\(361\) −2.11655e6 + 1.28502e6i −0.854794 + 0.518968i
\(362\) 114142. 1.13529e6i 0.0457799 0.455340i
\(363\) 1.30139e6 2.25408e6i 0.518372 0.897847i
\(364\) 834258. 943539.i 0.330025 0.373256i
\(365\) −2.37074e6 4.10624e6i −0.931433 1.61329i
\(366\) −2.21974e6 + 3.08441e6i −0.866163 + 1.20357i
\(367\) −2.15606e6 + 1.24480e6i −0.835595 + 0.482431i −0.855765 0.517365i \(-0.826913\pi\)
0.0201692 + 0.999797i \(0.493580\pi\)
\(368\) −1.16555e6 + 2.75054e6i −0.448653 + 1.05876i
\(369\) 4.11722e6i 1.57412i
\(370\) 1.00512e6 452958.i 0.381692 0.172010i
\(371\) 772122. + 1.33735e6i 0.291240 + 0.504442i
\(372\) 2.84720e6 + 578360.i 1.06674 + 0.216691i
\(373\) 1.47892e6i 0.550391i 0.961388 + 0.275195i \(0.0887425\pi\)
−0.961388 + 0.275195i \(0.911257\pi\)
\(374\) −1.49500e6 + 673722.i −0.552664 + 0.249059i
\(375\) 1.49008e6 2.58089e6i 0.547181 0.947745i
\(376\) −308883. + 70042.3i −0.112674 + 0.0255500i
\(377\) −969909. + 1.67993e6i −0.351461 + 0.608749i
\(378\) 35525.6 + 25566.5i 0.0127883 + 0.00920328i
\(379\) −354344. −0.126715 −0.0633574 0.997991i \(-0.520181\pi\)
−0.0633574 + 0.997991i \(0.520181\pi\)
\(380\) 234310. + 3.23001e6i 0.0832401 + 1.14748i
\(381\) 1.11140e6 0.392244
\(382\) −1.45713e6 1.04865e6i −0.510905 0.367680i
\(383\) 1.87581e6 3.24901e6i 0.653421 1.13176i −0.328866 0.944377i \(-0.606667\pi\)
0.982287 0.187382i \(-0.0600002\pi\)
\(384\) −718824. + 3.99964e6i −0.248768 + 1.38418i
\(385\) −433661. + 751123.i −0.149107 + 0.258261i
\(386\) 1.92612e6 868011.i 0.657985 0.296522i
\(387\) 2.68940e6i 0.912805i
\(388\) −397261. + 1.95567e6i −0.133967 + 0.659502i
\(389\) −2.22346e6 3.85115e6i −0.744999 1.29038i −0.950195 0.311655i \(-0.899117\pi\)
0.205197 0.978721i \(-0.434217\pi\)
\(390\) −4.36623e6 + 1.96765e6i −1.45360 + 0.655068i
\(391\) 4.11042e6i 1.35970i
\(392\) 2.16306e6 + 670560.i 0.710975 + 0.220405i
\(393\) −4.06296e6 + 2.34575e6i −1.32697 + 0.766127i
\(394\) −3.59783e6 + 4.99932e6i −1.16762 + 1.62245i
\(395\) −297790. 515788.i −0.0960324 0.166333i
\(396\) 1.17194e6 + 1.03621e6i 0.375551 + 0.332054i
\(397\) −1.99915e6 + 3.46263e6i −0.636603 + 1.10263i 0.349570 + 0.936910i \(0.386328\pi\)
−0.986173 + 0.165718i \(0.947006\pi\)
\(398\) 278675. 2.77179e6i 0.0881843 0.877107i
\(399\) −561143. + 2.19051e6i −0.176458 + 0.688831i
\(400\) 953553. + 404070.i 0.297985 + 0.126272i
\(401\) −2.33585e6 1.34860e6i −0.725411 0.418816i 0.0913297 0.995821i \(-0.470888\pi\)
−0.816741 + 0.577004i \(0.804222\pi\)
\(402\) 2.36919e6 3.29207e6i 0.731196 1.01602i
\(403\) 2.15353e6 1.24334e6i 0.660524 0.381354i
\(404\) 201033. 227367.i 0.0612794 0.0693065i
\(405\) −1.94000e6 3.36017e6i −0.587710 1.01794i
\(406\) 1.19191e6 + 119835.i 0.358863 + 0.0360801i
\(407\) −623432. −0.186553
\(408\) 1.23654e6 + 5.45308e6i 0.367754 + 1.62178i
\(409\) −5.45592e6 + 3.14998e6i −1.61272 + 0.931106i −0.623987 + 0.781435i \(0.714488\pi\)
−0.988736 + 0.149671i \(0.952178\pi\)
\(410\) 630620. 6.27233e6i 0.185271 1.84276i
\(411\) −6.81295e6 −1.98944
\(412\) −1.89514e6 5.65820e6i −0.550044 1.64224i
\(413\) −138420. 79917.0i −0.0399324 0.0230550i
\(414\) 3.57504e6 1.61110e6i 1.02513 0.461978i
\(415\) 5.88110e6 + 3.39546e6i 1.67625 + 0.967783i
\(416\) 1.80664e6 + 2.97212e6i 0.511846 + 0.842041i
\(417\) 9.22729e6i 2.59857i
\(418\) 629646. 1.71968e6i 0.176261 0.481402i
\(419\) 4.42905e6i 1.23247i 0.787563 + 0.616234i \(0.211343\pi\)
−0.787563 + 0.616234i \(0.788657\pi\)
\(420\) 2.21562e6 + 1.95901e6i 0.612876 + 0.541892i
\(421\) 3.67936e6 + 2.12428e6i 1.01174 + 0.584126i 0.911699 0.410858i \(-0.134771\pi\)
0.100036 + 0.994984i \(0.468104\pi\)
\(422\) 1.00172e6 + 2.22282e6i 0.273819 + 0.607608i
\(423\) 360050. + 207875.i 0.0978389 + 0.0564873i
\(424\) −4.15900e6 + 943095.i −1.12350 + 0.254766i
\(425\) 1.42499e6 0.382683
\(426\) 8.28773e6 + 833248.i 2.21264 + 0.222459i
\(427\) 1.73947e6 1.00428e6i 0.461687 0.266555i
\(428\) −1.06497e6 3.17964e6i −0.281015 0.839011i
\(429\) 2.70819e6 0.710453
\(430\) −411926. + 4.09714e6i −0.107436 + 1.06859i
\(431\) 3.27659e6 + 5.67521e6i 0.849627 + 1.47160i 0.881541 + 0.472107i \(0.156506\pi\)
−0.0319141 + 0.999491i \(0.510160\pi\)
\(432\) −96488.4 + 72801.9i −0.0248751 + 0.0187687i
\(433\) 2.76932e6 1.59887e6i 0.709827 0.409819i −0.101170 0.994869i \(-0.532259\pi\)
0.810997 + 0.585050i \(0.198925\pi\)
\(434\) −1.24642e6 897002.i −0.317643 0.228596i
\(435\) −3.94482e6 2.27755e6i −0.999550 0.577090i
\(436\) 1.48559e6 7.31338e6i 0.374268 1.84248i
\(437\) −3.28158e6 3.21003e6i −0.822015 0.804091i
\(438\) 9.09692e6 + 914604.i 2.26574 + 0.227797i
\(439\) −2.57344e6 + 4.45733e6i −0.637314 + 1.10386i 0.348706 + 0.937232i \(0.386621\pi\)
−0.986020 + 0.166627i \(0.946712\pi\)
\(440\) −1.62667e6 1.75810e6i −0.400561 0.432925i
\(441\) −1.48633e6 2.57440e6i −0.363931 0.630347i
\(442\) 3.88445e6 + 2.79550e6i 0.945744 + 0.680618i
\(443\) −1.88165e6 + 1.08637e6i −0.455544 + 0.263008i −0.710169 0.704032i \(-0.751381\pi\)
0.254625 + 0.967040i \(0.418048\pi\)
\(444\) −423186. + 2.08329e6i −0.101876 + 0.501525i
\(445\) 384854.i 0.0921290i
\(446\) 105199. + 233438.i 0.0250424 + 0.0555693i
\(447\) 3.79004e6 + 6.56454e6i 0.897170 + 1.55394i
\(448\) 1.21496e6 1.77126e6i 0.286000 0.416953i
\(449\) 5.22761e6i 1.22373i −0.790961 0.611867i \(-0.790419\pi\)
0.790961 0.611867i \(-0.209581\pi\)
\(450\) −558533. 1.23939e6i −0.130022 0.288520i
\(451\) −1.78241e6 + 3.08722e6i −0.412634 + 0.714703i
\(452\) 1.06976e6 358301.i 0.246286 0.0824900i
\(453\) −729410. + 1.26338e6i −0.167004 + 0.289259i
\(454\) 982279. 1.36491e6i 0.223664 0.310789i
\(455\) 2.53131e6 0.573214
\(456\) −5.31918e6 3.27138e6i −1.19793 0.736748i
\(457\) 7.09307e6 1.58871 0.794353 0.607456i \(-0.207810\pi\)
0.794353 + 0.607456i \(0.207810\pi\)
\(458\) −3.42676e6 + 4.76161e6i −0.763343 + 1.06069i
\(459\) −83157.8 + 144034.i −0.0184235 + 0.0319104i
\(460\) −5.69313e6 + 1.90683e6i −1.25446 + 0.420164i
\(461\) −2.14243e6 + 3.71079e6i −0.469520 + 0.813232i −0.999393 0.0348450i \(-0.988906\pi\)
0.529873 + 0.848077i \(0.322240\pi\)
\(462\) −687128. 1.52474e6i −0.149773 0.332347i
\(463\) 5.21616e6i 1.13083i −0.824806 0.565416i \(-0.808716\pi\)
0.824806 0.565416i \(-0.191284\pi\)
\(464\) −1.29074e6 + 3.04598e6i −0.278320 + 0.656799i
\(465\) 2.91962e6 + 5.05694e6i 0.626173 + 1.08456i
\(466\) 697133. + 1.54694e6i 0.148714 + 0.329997i
\(467\) 5.89041e6i 1.24984i −0.780690 0.624918i \(-0.785132\pi\)
0.780690 0.624918i \(-0.214868\pi\)
\(468\) 908862. 4.47422e6i 0.191815 0.944284i
\(469\) −1.85658e6 + 1.07190e6i −0.389746 + 0.225020i
\(470\) −516674. 371832.i −0.107888 0.0776430i
\(471\) 1.56392e6 + 2.70879e6i 0.324835 + 0.562631i
\(472\) 323991. 299770.i 0.0669388 0.0619346i
\(473\) 1.16428e6 2.01659e6i 0.239279 0.414444i
\(474\) 1.14267e6 + 114884.i 0.233601 + 0.0234863i
\(475\) −1.11285e6 + 1.13765e6i −0.226309 + 0.231353i
\(476\) 588329. 2.89627e6i 0.119015 0.585898i
\(477\) 4.84794e6 + 2.79896e6i 0.975577 + 0.563250i
\(478\) 4.10829e6 + 2.95659e6i 0.822417 + 0.591864i
\(479\) 1.27446e6 735807.i 0.253797 0.146530i −0.367705 0.929943i \(-0.619856\pi\)
0.621501 + 0.783413i \(0.286523\pi\)
\(480\) −6.97915e6 + 4.24237e6i −1.38261 + 0.840437i
\(481\) 909753. + 1.57574e6i 0.179292 + 0.310543i
\(482\) 909379. 9.04495e6i 0.178290 1.77333i
\(483\) −4.19221e6 −0.817664
\(484\) −1.20660e6 3.60248e6i −0.234126 0.699017i
\(485\) −3.47349e6 + 2.00542e6i −0.670519 + 0.387124i
\(486\) 7.28265e6 + 732197.i 1.39862 + 0.140617i
\(487\) −920824. −0.175936 −0.0879679 0.996123i \(-0.528037\pi\)
−0.0879679 + 0.996123i \(0.528037\pi\)
\(488\) 1.22666e6 + 5.40953e6i 0.233172 + 1.02828i
\(489\) −7.96772e6 4.60017e6i −1.50682 0.869964i
\(490\) 1.87002e6 + 4.14960e6i 0.351849 + 0.780757i
\(491\) −4.84978e6 2.80002e6i −0.907860 0.524153i −0.0281177 0.999605i \(-0.508951\pi\)
−0.879742 + 0.475452i \(0.842285\pi\)
\(492\) 9.10651e6 + 8.05178e6i 1.69605 + 1.49961i
\(493\) 4.55192e6i 0.843485i
\(494\) −5.26536e6 + 918034.i −0.970758 + 0.169255i
\(495\) 3.14407e6i 0.576738i
\(496\) 3.38530e6 2.55426e6i 0.617863 0.466187i
\(497\) −3.81277e6 2.20130e6i −0.692388 0.399750i
\(498\) −1.19384e7 + 5.38004e6i −2.15710 + 0.972102i
\(499\) 1.57602e6 + 909918.i 0.283342 + 0.163588i 0.634936 0.772565i \(-0.281027\pi\)
−0.351593 + 0.936153i \(0.614360\pi\)
\(500\) −1.38154e6 4.12479e6i −0.247138 0.737865i
\(501\) 2.16195e6 0.384815
\(502\) 985425. 9.80133e6i 0.174528 1.73590i
\(503\) 6.95750e6 4.01691e6i 1.22612 0.707901i 0.259905 0.965634i \(-0.416309\pi\)
0.966216 + 0.257733i \(0.0829755\pi\)
\(504\) −2.74964e6 + 623509.i −0.482169 + 0.109337i
\(505\) 609976. 0.106435
\(506\) 3.37815e6 + 339639.i 0.586546 + 0.0589713i
\(507\) 117951. + 204297.i 0.0203789 + 0.0352973i
\(508\) 1.07457e6 1.21533e6i 0.184746 0.208946i
\(509\) −7.68352e6 + 4.43608e6i −1.31452 + 0.758936i −0.982840 0.184458i \(-0.940947\pi\)
−0.331675 + 0.943394i \(0.607614\pi\)
\(510\) −6.56440e6 + 9.12148e6i −1.11756 + 1.55289i
\(511\) −4.18503e6 2.41623e6i −0.709001 0.409342i
\(512\) 3.67866e6 + 4.65315e6i 0.620176 + 0.784463i
\(513\) −50048.2 178873.i −0.00839644 0.0300089i
\(514\) −102057. + 1.01509e6i −0.0170386 + 0.169471i
\(515\) 5.99647e6 1.03862e7i 0.996271 1.72559i
\(516\) −5.94844e6 5.25949e6i −0.983510 0.869599i
\(517\) 179984. + 311742.i 0.0296147 + 0.0512942i
\(518\) 656336. 912003.i 0.107474 0.149339i
\(519\) −2.26044e6 + 1.30506e6i −0.368361 + 0.212673i
\(520\) −2.06990e6 + 6.67699e6i −0.335691 + 1.08286i
\(521\) 292744.i 0.0472491i −0.999721 0.0236246i \(-0.992479\pi\)
0.999721 0.0236246i \(-0.00752063\pi\)
\(522\) 3.95905e6 1.78415e6i 0.635937 0.286586i
\(523\) 2.99643e6 + 5.18997e6i 0.479016 + 0.829680i 0.999710 0.0240629i \(-0.00766021\pi\)
−0.520694 + 0.853743i \(0.674327\pi\)
\(524\) −1.36321e6 + 6.71093e6i −0.216888 + 1.06771i
\(525\) 1.45335e6i 0.230129i
\(526\) −2.71970e6 + 1.22564e6i −0.428605 + 0.193151i
\(527\) 2.91759e6 5.05342e6i 0.457613 0.792608i
\(528\) 4.58379e6 565670.i 0.715549 0.0883036i
\(529\) 1.03712e6 1.79635e6i 0.161135 0.279095i
\(530\) −6.95684e6 5.00659e6i −1.07578 0.774199i
\(531\) −579403. −0.0891753
\(532\) 1.85281e6 + 2.73154e6i 0.283825 + 0.418436i
\(533\) 1.04040e7 1.58629
\(534\) 602333. + 433478.i 0.0914079 + 0.0657830i
\(535\) 3.36973e6 5.83654e6i 0.508991 0.881598i
\(536\) −1.30925e6 5.77372e6i −0.196839 0.868048i
\(537\) −5.89994e6 + 1.02190e7i −0.882900 + 1.52923i
\(538\) −1.64091e6 + 739479.i −0.244416 + 0.110146i
\(539\) 2.57382e6i 0.381598i
\(540\) −238071. 48360.1i −0.0351335 0.00713678i
\(541\) 2.94826e6 + 5.10654e6i 0.433085 + 0.750125i 0.997137 0.0756144i \(-0.0240918\pi\)
−0.564053 + 0.825739i \(0.690758\pi\)
\(542\) −4.72212e6 + 2.12803e6i −0.690460 + 0.311157i
\(543\) 4.42197e6i 0.643600i
\(544\) 7.15859e6 + 3.92021e6i 1.03712 + 0.567952i
\(545\) 1.29894e7 7.49942e6i 1.87326 1.08152i
\(546\) −2.85112e6 + 3.96174e6i −0.409293 + 0.568728i
\(547\) −4.66630e6 8.08227e6i −0.666814 1.15495i −0.978790 0.204865i \(-0.934324\pi\)
0.311977 0.950090i \(-0.399009\pi\)
\(548\) −6.58719e6 + 7.45007e6i −0.937020 + 1.05976i
\(549\) 3.64056e6 6.30563e6i 0.515510 0.892889i
\(550\) 117745. 1.17113e6i 0.0165973 0.165081i
\(551\) −3.63406e6 3.55482e6i −0.509933 0.498814i
\(552\) 3.42804e6 1.10580e7i 0.478849 1.54465i
\(553\) −525685. 303504.i −0.0730992 0.0422039i
\(554\) −5.69874e6 + 7.91861e6i −0.788868 + 1.09616i
\(555\) −3.70016e6 + 2.13629e6i −0.509903 + 0.294393i
\(556\) −1.00902e7 8.92153e6i −1.38424 1.22392i
\(557\) −3.88994e6 6.73757e6i −0.531257 0.920164i −0.999334 0.0364769i \(-0.988386\pi\)
0.468077 0.883688i \(-0.344947\pi\)
\(558\) −5.53879e6 556870.i −0.753060 0.0757126i
\(559\) −6.79599e6 −0.919863
\(560\) 4.28441e6 528725.i 0.577326 0.0712459i
\(561\) 5.50355e6 3.17748e6i 0.738305 0.426261i
\(562\) −38510.8 + 383040.i −0.00514331 + 0.0511568i
\(563\) −2.81451e6 −0.374225 −0.187112 0.982339i \(-0.559913\pi\)
−0.187112 + 0.982339i \(0.559913\pi\)
\(564\) 1.16391e6 389834.i 0.154071 0.0516038i
\(565\) 1.96365e6 + 1.13371e6i 0.258787 + 0.149411i
\(566\) −3.76960e6 + 1.69877e6i −0.494600 + 0.222892i
\(567\) −3.42465e6 1.97722e6i −0.447362 0.258284i
\(568\) 8.92427e6 8.25712e6i 1.16065 1.07389i
\(569\) 6.86177e6i 0.888496i −0.895904 0.444248i \(-0.853471\pi\)
0.895904 0.444248i \(-0.146529\pi\)
\(570\) −2.15573e6 1.23642e7i −0.277912 1.59396i
\(571\) 2.97628e6i 0.382018i 0.981588 + 0.191009i \(0.0611759\pi\)
−0.981588 + 0.191009i \(0.938824\pi\)
\(572\) 2.61845e6 2.96144e6i 0.334621 0.378454i
\(573\) 6.02528e6 + 3.47870e6i 0.766638 + 0.442619i
\(574\) −2.63973e6 5.85760e6i −0.334411 0.742061i
\(575\) −2.55515e6 1.47522e6i −0.322290 0.186074i
\(576\) 603762. 7.76275e6i 0.0758245 0.974898i
\(577\) −9.78347e6 −1.22336 −0.611679 0.791106i \(-0.709506\pi\)
−0.611679 + 0.791106i \(0.709506\pi\)
\(578\) 3.18222e6 + 319940.i 0.396196 + 0.0398335i
\(579\) −7.09067e6 + 4.09380e6i −0.879005 + 0.507493i
\(580\) −6.30464e6 + 2.11165e6i −0.778198 + 0.260647i
\(581\) 6.92123e6 0.850634
\(582\) 773668. 7.69513e6i 0.0946775 0.941691i
\(583\) 2.42342e6 + 4.19749e6i 0.295296 + 0.511468i
\(584\) 9.79561e6 9.06332e6i 1.18850 1.09965i
\(585\) 7.94671e6 4.58803e6i 0.960058 0.554290i
\(586\) −8.85984e6 6.37611e6i −1.06582 0.767029i
\(587\) 8.93126e6 + 5.15646e6i 1.06984 + 0.617670i 0.928137 0.372239i \(-0.121410\pi\)
0.141700 + 0.989910i \(0.454743\pi\)
\(588\) −8.60080e6 1.74711e6i −1.02588 0.208390i
\(589\) 1.75594e6 + 6.27575e6i 0.208556 + 0.745379i
\(590\) 882685. + 88745.1i 0.104394 + 0.0104958i
\(591\) 1.19352e7 2.06723e7i 1.40560 2.43456i
\(592\) 1.86895e6 + 2.47702e6i 0.219176 + 0.290486i
\(593\) 3.74905e6 + 6.49354e6i 0.437809 + 0.758307i 0.997520 0.0703807i \(-0.0224214\pi\)
−0.559712 + 0.828687i \(0.689088\pi\)
\(594\) 111503. + 80244.6i 0.0129664 + 0.00933146i
\(595\) 5.14410e6 2.96995e6i 0.595686 0.343919i
\(596\) 1.08429e7 + 2.20255e6i 1.25034 + 0.253986i
\(597\) 1.07961e7i 1.23974i
\(598\) −4.07117e6 9.03397e6i −0.465550 1.03306i
\(599\) 4.16780e6 + 7.21885e6i 0.474613 + 0.822055i 0.999577 0.0290698i \(-0.00925452\pi\)
−0.524964 + 0.851124i \(0.675921\pi\)
\(600\) −3.83358e6 1.18843e6i −0.434737 0.134770i
\(601\) 1.61124e7i 1.81960i 0.415050 + 0.909799i \(0.363764\pi\)
−0.415050 + 0.909799i \(0.636236\pi\)
\(602\) 1.72429e6 + 3.82623e6i 0.193919 + 0.430308i
\(603\) −3.88565e6 + 6.73015e6i −0.435182 + 0.753757i
\(604\) 676280. + 2.01913e6i 0.0754283 + 0.225202i
\(605\) 3.81785e6 6.61271e6i 0.424063 0.734498i
\(606\) −687043. + 954671.i −0.0759980 + 0.105602i
\(607\) 9.86326e6 1.08655 0.543274 0.839555i \(-0.317184\pi\)
0.543274 + 0.839555i \(0.317184\pi\)
\(608\) −8.72023e6 + 2.65363e6i −0.956685 + 0.291126i
\(609\) −4.64250e6 −0.507234
\(610\) −6.51197e6 + 9.04863e6i −0.708579 + 0.984596i
\(611\) 525290. 909829.i 0.0569241 0.0985954i
\(612\) −3.40255e6 1.01588e7i −0.367220 1.09639i
\(613\) −4.87685e6 + 8.44695e6i −0.524189 + 0.907922i 0.475414 + 0.879762i \(0.342298\pi\)
−0.999603 + 0.0281604i \(0.991035\pi\)
\(614\) −1.20287e6 2.66917e6i −0.128765 0.285730i
\(615\) 2.44308e7i 2.60465i
\(616\) −2.33169e6 722834.i −0.247582 0.0767515i
\(617\) −161406. 279563.i −0.0170689 0.0295643i 0.857365 0.514709i \(-0.172100\pi\)
−0.874434 + 0.485145i \(0.838767\pi\)
\(618\) 9.50129e6 + 2.10835e7i 1.00072 + 2.22060i
\(619\) 6.05876e6i 0.635561i −0.948164 0.317781i \(-0.897062\pi\)
0.948164 0.317781i \(-0.102938\pi\)
\(620\) 8.35271e6 + 1.69671e6i 0.872667 + 0.177268i
\(621\) 298220. 172178.i 0.0310319 0.0179163i
\(622\) −256241. 184408.i −0.0265566 0.0191119i
\(623\) −196120. 339689.i −0.0202442 0.0350640i
\(624\) −8.11871e6 1.07602e7i −0.834691 1.10626i
\(625\) 5.95164e6 1.03085e7i 0.609448 1.05559i
\(626\) −5.16954e6 519745.i −0.527249 0.0530096i
\(627\) −1.76123e6 + 6.87525e6i −0.178916 + 0.698425i
\(628\) 4.47420e6 + 908859.i 0.452706 + 0.0919597i
\(629\) 3.69758e6 + 2.13480e6i 0.372642 + 0.215145i
\(630\) −4.59938e6 3.31001e6i −0.461687 0.332260i
\(631\) −1.43559e6 + 828840.i −0.143535 + 0.0828700i −0.570048 0.821612i \(-0.693075\pi\)
0.426513 + 0.904482i \(0.359742\pi\)
\(632\) 1.23043e6 1.13845e6i 0.122537 0.113376i
\(633\) −4.72440e6 8.18290e6i −0.468638 0.811705i
\(634\) 1.20024e6 1.19380e7i 0.118589 1.17952i
\(635\) 3.26046e6 0.320881
\(636\) 1.56716e7 5.24898e6i 1.53628 0.514555i
\(637\) −6.50539e6 + 3.75589e6i −0.635220 + 0.366745i
\(638\) 3.74100e6 + 376120.i 0.363861 + 0.0365826i
\(639\) −1.59596e7 −1.54621
\(640\) −2.10879e6 + 1.17336e7i −0.203509 + 1.13235i
\(641\) 4.41918e6 + 2.55141e6i 0.424812 + 0.245265i 0.697134 0.716941i \(-0.254458\pi\)
−0.272322 + 0.962206i \(0.587792\pi\)
\(642\) 5.33927e6 + 1.18479e7i 0.511263 + 1.13450i
\(643\) 5.73274e6 + 3.30980e6i 0.546808 + 0.315700i 0.747834 0.663886i \(-0.231094\pi\)
−0.201025 + 0.979586i \(0.564427\pi\)
\(644\) −4.05329e6 + 4.58424e6i −0.385117 + 0.435565i
\(645\) 1.59584e7i 1.51039i
\(646\) −9.62311e6 + 8.04340e6i −0.907265 + 0.758330i
\(647\) 1.91492e7i 1.79842i 0.437521 + 0.899208i \(0.355857\pi\)
−0.437521 + 0.899208i \(0.644143\pi\)
\(648\) 8.01584e6 7.41660e6i 0.749914 0.693853i
\(649\) −434454. 250832.i −0.0404885 0.0233761i
\(650\) −3.13188e6 + 1.41139e6i −0.290751 + 0.131027i
\(651\) 5.15397e6 + 2.97565e6i 0.476639 + 0.275188i
\(652\) −1.27340e7 + 4.26509e6i −1.17313 + 0.392925i
\(653\) 380147. 0.0348874 0.0174437 0.999848i \(-0.494447\pi\)
0.0174437 + 0.999848i \(0.494447\pi\)
\(654\) −2.89319e6 + 2.87765e7i −0.264504 + 2.63084i
\(655\) −1.19194e7 + 6.88165e6i −1.08555 + 0.626742i
\(656\) 1.76095e7 2.17313e6i 1.59767 0.197163i
\(657\) −1.75178e7 −1.58331
\(658\) −645523. 64900.8i −0.0581229 0.00584367i
\(659\) −1.10015e6 1.90551e6i −0.0986817 0.170922i 0.812458 0.583020i \(-0.198129\pi\)
−0.911139 + 0.412099i \(0.864796\pi\)
\(660\) 6.95408e6 + 6.14865e6i 0.621412 + 0.549440i
\(661\) 2.80947e6 1.62205e6i 0.250104 0.144398i −0.369708 0.929148i \(-0.620542\pi\)
0.619812 + 0.784750i \(0.287209\pi\)
\(662\) 5.80209e6 8.06221e6i 0.514564 0.715005i
\(663\) −1.60623e7 9.27357e6i −1.41914 0.819338i
\(664\) −5.65961e6 + 1.82565e7i −0.498157 + 1.60693i
\(665\) −1.64620e6 + 6.42622e6i −0.144354 + 0.563509i
\(666\) 407461. 4.05273e6i 0.0355959 0.354048i
\(667\) 4.71236e6 8.16205e6i 0.410132 0.710370i
\(668\) 2.09031e6 2.36413e6i 0.181247 0.204989i
\(669\) −496152. 859360.i −0.0428597 0.0742352i
\(670\) 6.95039e6 9.65782e6i 0.598167 0.831175i
\(671\) 5.45960e6 3.15210e6i 0.468117 0.270267i
\(672\) −3.99821e6 + 7.30104e6i −0.341541 + 0.623679i
\(673\) 5.39337e6i 0.459011i −0.973307 0.229505i \(-0.926289\pi\)
0.973307 0.229505i \(-0.0737108\pi\)
\(674\) −2.00071e7 + 9.01622e6i −1.69642 + 0.764495i
\(675\) −59690.2 103386.i −0.00504247 0.00873382i
\(676\) 337444. + 68546.1i 0.0284011 + 0.00576921i
\(677\) 117611.i 0.00986227i −0.999988 0.00493113i \(-0.998430\pi\)
0.999988 0.00493113i \(-0.00156964\pi\)
\(678\) −3.98611e6 + 1.79635e6i −0.333023 + 0.150077i
\(679\) −2.04390e6 + 3.54014e6i −0.170132 + 0.294677i
\(680\) 3.62759e6 + 1.59975e7i 0.300847 + 1.32672i
\(681\) −3.25854e6 + 5.64395e6i −0.269250 + 0.466354i
\(682\) −3.91207e6 2.81538e6i −0.322067 0.231780i
\(683\) 1.00063e7 0.820774 0.410387 0.911912i \(-0.365394\pi\)
0.410387 + 0.911912i \(0.365394\pi\)
\(684\) 1.07676e7 + 5.21707e6i 0.879991 + 0.426370i
\(685\) −1.99869e7 −1.62749
\(686\) 8.82348e6 + 6.34994e6i 0.715863 + 0.515181i
\(687\) 1.13677e7 1.96894e7i 0.918924 1.59162i
\(688\) −1.15027e7 + 1.41950e6i −0.926461 + 0.114331i
\(689\) 7.07284e6 1.22505e7i 0.567605 0.983120i
\(690\) 2.12136e7 9.55994e6i 1.69626 0.764421i
\(691\) 6.97004e6i 0.555316i 0.960680 + 0.277658i \(0.0895582\pi\)
−0.960680 + 0.277658i \(0.910442\pi\)
\(692\) −758426. + 3.73364e6i −0.0602072 + 0.296393i
\(693\) 1.60220e6 + 2.77509e6i 0.126731 + 0.219505i
\(694\) 1.39387e7 6.28148e6i 1.09856 0.495066i
\(695\) 2.70698e7i 2.12580i
\(696\) 3.79625e6 1.22458e7i 0.297052 0.958217i
\(697\) 2.11429e7 1.22069e7i 1.64848 0.951750i
\(698\) −2.52960e6 + 3.51497e6i −0.196523 + 0.273076i
\(699\) −3.28789e6 5.69479e6i −0.254521 0.440844i
\(700\) 1.58926e6 + 1.40519e6i 0.122588 + 0.108390i
\(701\) −1.13413e7 + 1.96437e7i −0.871700 + 1.50983i −0.0114635 + 0.999934i \(0.503649\pi\)
−0.860237 + 0.509895i \(0.829684\pi\)
\(702\) 40107.8 398924.i 0.00307175 0.0305526i
\(703\) −4.59196e6 + 1.28482e6i −0.350437 + 0.0980515i
\(704\) 3.81333e6 5.55937e6i 0.289983 0.422760i
\(705\) 2.13646e6 + 1.23349e6i 0.161891 + 0.0934678i
\(706\) −8.09731e6 + 1.12515e7i −0.611405 + 0.849570i
\(707\) 538392. 310841.i 0.0405088 0.0233878i
\(708\) −1.13310e6 + 1.28153e6i −0.0849543 + 0.0960827i
\(709\) −8.26913e6 1.43226e7i −0.617795 1.07005i −0.989887 0.141857i \(-0.954693\pi\)
0.372092 0.928196i \(-0.378641\pi\)
\(710\) 2.43134e7 + 2.44447e6i 1.81009 + 0.181986i
\(711\) −2.20042e6 −0.163242
\(712\) 1.05639e6 239547.i 0.0780951 0.0177089i
\(713\) −1.04631e7 + 6.04086e6i −0.770789 + 0.445015i
\(714\) −1.14577e6 + 1.13962e7i −0.0841110 + 0.836593i
\(715\) 7.94491e6 0.581198
\(716\) 5.47019e6 + 1.63320e7i 0.398767 + 1.19058i
\(717\) −1.69879e7 9.80798e6i −1.23408 0.712495i
\(718\) 2.37283e6 1.06932e6i 0.171773 0.0774097i
\(719\) 5.20529e6 + 3.00528e6i 0.375511 + 0.216801i 0.675863 0.737027i \(-0.263771\pi\)
−0.300352 + 0.953828i \(0.597104\pi\)
\(720\) 1.24920e7 9.42541e6i 0.898051 0.677593i
\(721\) 1.22231e7i 0.875673i
\(722\) 1.09366e6 1.39642e7i 0.0780797 0.996947i
\(723\) 3.52301e7i 2.50650i
\(724\) 4.83549e6 + 4.27544e6i 0.342842 + 0.303134i
\(725\) −2.82960e6 1.63367e6i −0.199931 0.115430i
\(726\) 6.04931e6 + 1.34235e7i 0.425955 + 0.945199i
\(727\) 7.47904e6 + 4.31803e6i 0.524819 + 0.303005i 0.738904 0.673810i \(-0.235344\pi\)
−0.214085 + 0.976815i \(0.568677\pi\)
\(728\) 1.57558e6 + 6.94821e6i 0.110182 + 0.485897i
\(729\) −1.37061e7 −0.955205
\(730\) 2.66873e7 + 2.68314e6i 1.85352 + 0.186353i
\(731\) −1.38107e7 + 7.97363e6i −0.955924 + 0.551903i
\(732\) −6.82724e6 2.03837e7i −0.470942 1.40607i
\(733\) −5.04883e6 −0.347081 −0.173541 0.984827i \(-0.555521\pi\)
−0.173541 + 0.984827i \(0.555521\pi\)
\(734\) 1.40884e6 1.40127e7i 0.0965206 0.960023i
\(735\) −8.81959e6 1.52760e7i −0.602185 1.04302i
\(736\) −8.77769e6 1.44402e7i −0.597290 0.982606i
\(737\) −5.82716e6 + 3.36431e6i −0.395174 + 0.228154i
\(738\) −1.89041e7 1.36046e7i −1.27766 0.919484i
\(739\) −1.83826e7 1.06132e7i −1.23821 0.714883i −0.269485 0.963005i \(-0.586853\pi\)
−0.968729 + 0.248122i \(0.920187\pi\)
\(740\) −1.24148e6 + 6.11168e6i −0.0833416 + 0.410281i
\(741\) 1.99475e7 5.58126e6i 1.33457 0.373411i
\(742\) −8.69174e6 873867.i −0.579558 0.0582687i
\(743\) 1.39775e6 2.42097e6i 0.0928876 0.160886i −0.815837 0.578281i \(-0.803724\pi\)
0.908725 + 0.417395i \(0.137057\pi\)
\(744\) −1.20635e7 + 1.11617e7i −0.798992 + 0.739262i
\(745\) 1.11187e7 + 1.92581e7i 0.733944 + 1.27123i
\(746\) −6.79038e6 4.88680e6i −0.446732 0.321497i
\(747\) 2.17283e7 1.25448e7i 1.42470 0.822551i
\(748\) 1.84656e6 9.09040e6i 0.120673 0.594058i
\(749\) 6.86877e6i 0.447378i
\(750\) 6.92638e6 + 1.53697e7i 0.449628 + 0.997729i
\(751\) −4.75230e6 8.23123e6i −0.307471 0.532556i 0.670337 0.742057i \(-0.266149\pi\)
−0.977808 + 0.209501i \(0.932816\pi\)
\(752\) 699048. 1.64966e6i 0.0450778 0.106378i
\(753\) 3.81762e7i 2.45361i
\(754\) −4.50846e6 1.00043e7i −0.288802 0.640854i
\(755\) −2.13984e6 + 3.70632e6i −0.136620 + 0.236633i
\(756\) −234776. + 78634.8i −0.0149399 + 0.00500392i
\(757\) 8.28948e6 1.43578e7i 0.525760 0.910643i −0.473790 0.880638i \(-0.657114\pi\)
0.999550 0.0300048i \(-0.00955225\pi\)
\(758\) 1.17086e6 1.62696e6i 0.0740173 0.102850i
\(759\) −1.31579e7 −0.829052
\(760\) −1.56047e7 9.59712e6i −0.979989 0.602708i
\(761\) −1.89444e7 −1.18582 −0.592910 0.805269i \(-0.702021\pi\)
−0.592910 + 0.805269i \(0.702021\pi\)
\(762\) −3.67240e6 + 5.10293e6i −0.229120 + 0.318370i
\(763\) 7.64333e6 1.32386e7i 0.475304 0.823250i
\(764\) 9.62963e6 3.22531e6i 0.596865 0.199912i
\(765\) 1.07661e7 1.86475e7i 0.665130 1.15204i
\(766\) 8.71941e6 + 1.93485e7i 0.536927 + 1.19145i
\(767\) 1.46412e6i 0.0898647i
\(768\) −1.59890e7 1.65165e7i −0.978177 1.01045i
\(769\) 2.40953e6 + 4.17342e6i