Properties

Label 80.6.l.a.21.11
Level 80
Weight 6
Character 80.21
Analytic conductor 12.831
Analytic rank 0
Dimension 80
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.11
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.01718 - 3.98275i) q^{2} +(10.2463 - 10.2463i) q^{3} +(0.275419 + 31.9988i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-81.9696 + 0.352756i) q^{6} +107.195i q^{7} +(126.337 - 129.642i) q^{8} +33.0270i q^{9} +O(q^{10})\) \(q+(-4.01718 - 3.98275i) q^{2} +(10.2463 - 10.2463i) q^{3} +(0.275419 + 31.9988i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-81.9696 + 0.352756i) q^{6} +107.195i q^{7} +(126.337 - 129.642i) q^{8} +33.0270i q^{9} +(0.608601 + 141.420i) q^{10} +(221.799 + 221.799i) q^{11} +(330.691 + 325.047i) q^{12} +(-803.282 + 803.282i) q^{13} +(426.930 - 430.621i) q^{14} -362.261 q^{15} +(-1023.85 + 17.6261i) q^{16} +364.972 q^{17} +(131.538 - 132.675i) q^{18} +(654.936 - 654.936i) q^{19} +(560.796 - 570.533i) q^{20} +(1098.35 + 1098.35i) q^{21} +(-7.63603 - 1774.38i) q^{22} +3201.73i q^{23} +(-33.8637 - 2622.83i) q^{24} +625.000i q^{25} +(6426.20 - 27.6551i) q^{26} +(2828.25 + 2828.25i) q^{27} +(-3430.11 + 29.5235i) q^{28} +(4482.55 - 4482.55i) q^{29} +(1455.27 + 1442.80i) q^{30} +5318.06 q^{31} +(4183.18 + 4006.92i) q^{32} +4545.24 q^{33} +(-1466.16 - 1453.59i) q^{34} +(1894.95 - 1894.95i) q^{35} +(-1056.83 + 9.09627i) q^{36} +(-4842.58 - 4842.58i) q^{37} +(-5239.44 + 22.5479i) q^{38} +16461.3i q^{39} +(-4525.11 + 58.4242i) q^{40} +12004.8i q^{41} +(-37.8136 - 8786.71i) q^{42} +(196.241 + 196.241i) q^{43} +(-7036.23 + 7158.41i) q^{44} +(583.841 - 583.841i) q^{45} +(12751.7 - 12861.9i) q^{46} -27915.6 q^{47} +(-10310.0 + 10671.3i) q^{48} +5316.27 q^{49} +(2489.22 - 2510.74i) q^{50} +(3739.61 - 3739.61i) q^{51} +(-25925.3 - 25482.8i) q^{52} +(13547.2 + 13547.2i) q^{53} +(-97.3701 - 22625.8i) q^{54} -7841.79i q^{55} +(13896.9 + 13542.7i) q^{56} -13421.3i q^{57} +(-35860.1 + 154.324i) q^{58} +(-19135.0 - 19135.0i) q^{59} +(-99.7735 - 11591.9i) q^{60} +(-27659.4 + 27659.4i) q^{61} +(-21363.6 - 21180.5i) q^{62} -3540.33 q^{63} +(-846.003 - 32757.1i) q^{64} +28400.3 q^{65} +(-18259.0 - 18102.6i) q^{66} +(-10436.6 + 10436.6i) q^{67} +(100.520 + 11678.7i) q^{68} +(32805.9 + 32805.9i) q^{69} +(-15159.5 + 65.2389i) q^{70} +43847.1i q^{71} +(4281.69 + 4172.53i) q^{72} +32503.6i q^{73} +(166.719 + 38740.3i) q^{74} +(6403.93 + 6403.93i) q^{75} +(21137.6 + 20776.8i) q^{76} +(-23775.8 + 23775.8i) q^{77} +(65561.3 - 66128.1i) q^{78} -54063.2 q^{79} +(18410.8 + 17787.7i) q^{80} +49932.6 q^{81} +(47811.9 - 48225.2i) q^{82} +(41170.0 - 41170.0i) q^{83} +(-34843.4 + 35448.4i) q^{84} +(-6451.85 - 6451.85i) q^{85} +(-6.75611 - 1569.91i) q^{86} -91859.0i q^{87} +(56775.9 - 733.041i) q^{88} +21030.0i q^{89} +(-4670.69 + 20.1003i) q^{90} +(-86107.7 - 86107.7i) q^{91} +(-102452. + 881.817i) q^{92} +(54490.4 - 54490.4i) q^{93} +(112142. + 111181. i) q^{94} -23155.5 q^{95} +(83918.2 - 1805.98i) q^{96} +76104.2 q^{97} +(-21356.4 - 21173.4i) q^{98} +(-7325.38 + 7325.38i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.01718 3.98275i −0.710143 0.704057i
\(3\) 10.2463 10.2463i 0.657300 0.657300i −0.297440 0.954740i \(-0.596133\pi\)
0.954740 + 0.297440i \(0.0961330\pi\)
\(4\) 0.275419 + 31.9988i 0.00860683 + 0.999963i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) −81.9696 + 0.352756i −0.929554 + 0.00400033i
\(7\) 107.195i 0.826854i 0.910537 + 0.413427i \(0.135668\pi\)
−0.910537 + 0.413427i \(0.864332\pi\)
\(8\) 126.337 129.642i 0.697919 0.716177i
\(9\) 33.0270i 0.135914i
\(10\) 0.608601 + 141.420i 0.00192456 + 0.447209i
\(11\) 221.799 + 221.799i 0.552686 + 0.552686i 0.927215 0.374529i \(-0.122196\pi\)
−0.374529 + 0.927215i \(0.622196\pi\)
\(12\) 330.691 + 325.047i 0.662933 + 0.651618i
\(13\) −803.282 + 803.282i −1.31829 + 1.31829i −0.403154 + 0.915132i \(0.632086\pi\)
−0.915132 + 0.403154i \(0.867914\pi\)
\(14\) 426.930 430.621i 0.582152 0.587185i
\(15\) −362.261 −0.415713
\(16\) −1023.85 + 17.6261i −0.999852 + 0.0172130i
\(17\) 364.972 0.306293 0.153146 0.988204i \(-0.451059\pi\)
0.153146 + 0.988204i \(0.451059\pi\)
\(18\) 131.538 132.675i 0.0956911 0.0965182i
\(19\) 654.936 654.936i 0.416212 0.416212i −0.467684 0.883896i \(-0.654911\pi\)
0.883896 + 0.467684i \(0.154911\pi\)
\(20\) 560.796 570.533i 0.313494 0.318938i
\(21\) 1098.35 + 1098.35i 0.543491 + 0.543491i
\(22\) −7.63603 1774.38i −0.00336365 0.781609i
\(23\) 3201.73i 1.26202i 0.775776 + 0.631009i \(0.217359\pi\)
−0.775776 + 0.631009i \(0.782641\pi\)
\(24\) −33.8637 2622.83i −0.0120007 0.929485i
\(25\) 625.000i 0.200000i
\(26\) 6426.20 27.6551i 1.86432 0.00802310i
\(27\) 2828.25 + 2828.25i 0.746636 + 0.746636i
\(28\) −3430.11 + 29.5235i −0.826823 + 0.00711659i
\(29\) 4482.55 4482.55i 0.989760 0.989760i −0.0101878 0.999948i \(-0.503243\pi\)
0.999948 + 0.0101878i \(0.00324294\pi\)
\(30\) 1455.27 + 1442.80i 0.295216 + 0.292686i
\(31\) 5318.06 0.993914 0.496957 0.867775i \(-0.334451\pi\)
0.496957 + 0.867775i \(0.334451\pi\)
\(32\) 4183.18 + 4006.92i 0.722157 + 0.691729i
\(33\) 4545.24 0.726561
\(34\) −1466.16 1453.59i −0.217512 0.215648i
\(35\) 1894.95 1894.95i 0.261474 0.261474i
\(36\) −1056.83 + 9.09627i −0.135909 + 0.00116979i
\(37\) −4842.58 4842.58i −0.581531 0.581531i 0.353793 0.935324i \(-0.384892\pi\)
−0.935324 + 0.353793i \(0.884892\pi\)
\(38\) −5239.44 + 22.5479i −0.588608 + 0.00253307i
\(39\) 16461.3i 1.73302i
\(40\) −4525.11 + 58.4242i −0.447176 + 0.00577355i
\(41\) 12004.8i 1.11530i 0.830075 + 0.557652i \(0.188298\pi\)
−0.830075 + 0.557652i \(0.811702\pi\)
\(42\) −37.8136 8786.71i −0.00330769 0.768605i
\(43\) 196.241 + 196.241i 0.0161852 + 0.0161852i 0.715153 0.698968i \(-0.246357\pi\)
−0.698968 + 0.715153i \(0.746357\pi\)
\(44\) −7036.23 + 7158.41i −0.547909 + 0.557423i
\(45\) 583.841 583.841i 0.0429797 0.0429797i
\(46\) 12751.7 12861.9i 0.888532 0.896213i
\(47\) −27915.6 −1.84333 −0.921664 0.387990i \(-0.873170\pi\)
−0.921664 + 0.387990i \(0.873170\pi\)
\(48\) −10310.0 + 10671.3i −0.645888 + 0.668517i
\(49\) 5316.27 0.316313
\(50\) 2489.22 2510.74i 0.140811 0.142029i
\(51\) 3739.61 3739.61i 0.201326 0.201326i
\(52\) −25925.3 25482.8i −1.32958 1.30689i
\(53\) 13547.2 + 13547.2i 0.662459 + 0.662459i 0.955959 0.293500i \(-0.0948200\pi\)
−0.293500 + 0.955959i \(0.594820\pi\)
\(54\) −97.3701 22625.8i −0.00454403 1.05589i
\(55\) 7841.79i 0.349550i
\(56\) 13896.9 + 13542.7i 0.592173 + 0.577077i
\(57\) 13421.3i 0.547153i
\(58\) −35860.1 + 154.324i −1.39972 + 0.00602369i
\(59\) −19135.0 19135.0i −0.715646 0.715646i 0.252064 0.967711i \(-0.418891\pi\)
−0.967711 + 0.252064i \(0.918891\pi\)
\(60\) −99.7735 11591.9i −0.00357797 0.415698i
\(61\) −27659.4 + 27659.4i −0.951738 + 0.951738i −0.998888 0.0471497i \(-0.984986\pi\)
0.0471497 + 0.998888i \(0.484986\pi\)
\(62\) −21363.6 21180.5i −0.705822 0.699773i
\(63\) −3540.33 −0.112381
\(64\) −846.003 32757.1i −0.0258180 0.999667i
\(65\) 28400.3 0.833757
\(66\) −18259.0 18102.6i −0.515963 0.511541i
\(67\) −10436.6 + 10436.6i −0.284036 + 0.284036i −0.834716 0.550680i \(-0.814368\pi\)
0.550680 + 0.834716i \(0.314368\pi\)
\(68\) 100.520 + 11678.7i 0.00263621 + 0.306281i
\(69\) 32805.9 + 32805.9i 0.829524 + 0.829524i
\(70\) −15159.5 + 65.2389i −0.369777 + 0.00159133i
\(71\) 43847.1i 1.03227i 0.856506 + 0.516137i \(0.172630\pi\)
−0.856506 + 0.516137i \(0.827370\pi\)
\(72\) 4281.69 + 4172.53i 0.0973383 + 0.0948568i
\(73\) 32503.6i 0.713878i 0.934128 + 0.356939i \(0.116180\pi\)
−0.934128 + 0.356939i \(0.883820\pi\)
\(74\) 166.719 + 38740.3i 0.00353920 + 0.822401i
\(75\) 6403.93 + 6403.93i 0.131460 + 0.131460i
\(76\) 21137.6 + 20776.8i 0.419779 + 0.412615i
\(77\) −23775.8 + 23775.8i −0.456991 + 0.456991i
\(78\) 65561.3 66128.1i 1.22014 1.23069i
\(79\) −54063.2 −0.974618 −0.487309 0.873230i \(-0.662021\pi\)
−0.487309 + 0.873230i \(0.662021\pi\)
\(80\) 18410.8 + 17787.7i 0.321624 + 0.310738i
\(81\) 49932.6 0.845614
\(82\) 47811.9 48225.2i 0.785238 0.792026i
\(83\) 41170.0 41170.0i 0.655973 0.655973i −0.298452 0.954425i \(-0.596470\pi\)
0.954425 + 0.298452i \(0.0964703\pi\)
\(84\) −34843.4 + 35448.4i −0.538793 + 0.548149i
\(85\) −6451.85 6451.85i −0.0968583 0.0968583i
\(86\) −6.75611 1569.91i −9.85032e−5 0.0228891i
\(87\) 91859.0i 1.30114i
\(88\) 56775.9 733.041i 0.781551 0.0100907i
\(89\) 21030.0i 0.281426i 0.990050 + 0.140713i \(0.0449395\pi\)
−0.990050 + 0.140713i \(0.955061\pi\)
\(90\) −4670.69 + 20.1003i −0.0607819 + 0.000261575i
\(91\) −86107.7 86107.7i −1.09003 1.09003i
\(92\) −102452. + 881.817i −1.26197 + 0.0108620i
\(93\) 54490.4 54490.4i 0.653300 0.653300i
\(94\) 112142. + 111181.i 1.30903 + 1.29781i
\(95\) −23155.5 −0.263236
\(96\) 83918.2 1805.98i 0.929347 0.0200002i
\(97\) 76104.2 0.821258 0.410629 0.911803i \(-0.365309\pi\)
0.410629 + 0.911803i \(0.365309\pi\)
\(98\) −21356.4 21173.4i −0.224627 0.222702i
\(99\) −7325.38 + 7325.38i −0.0751177 + 0.0751177i
\(100\) −19999.3 + 172.137i −0.199993 + 0.00172137i
\(101\) 71459.7 + 71459.7i 0.697040 + 0.697040i 0.963771 0.266731i \(-0.0859434\pi\)
−0.266731 + 0.963771i \(0.585943\pi\)
\(102\) −29916.6 + 128.746i −0.284716 + 0.00122527i
\(103\) 11027.6i 0.102420i 0.998688 + 0.0512102i \(0.0163078\pi\)
−0.998688 + 0.0512102i \(0.983692\pi\)
\(104\) 2654.83 + 205623.i 0.0240687 + 1.86418i
\(105\) 38832.5i 0.343734i
\(106\) −466.398 108376.i −0.00403173 0.936850i
\(107\) −52499.5 52499.5i −0.443298 0.443298i 0.449821 0.893119i \(-0.351488\pi\)
−0.893119 + 0.449821i \(0.851488\pi\)
\(108\) −89721.8 + 91279.7i −0.740182 + 0.753034i
\(109\) 77971.0 77971.0i 0.628589 0.628589i −0.319124 0.947713i \(-0.603389\pi\)
0.947713 + 0.319124i \(0.103389\pi\)
\(110\) −31231.9 + 31501.9i −0.246103 + 0.248230i
\(111\) −99237.0 −0.764480
\(112\) −1889.43 109751.i −0.0142327 0.826731i
\(113\) −22081.2 −0.162677 −0.0813387 0.996687i \(-0.525920\pi\)
−0.0813387 + 0.996687i \(0.525920\pi\)
\(114\) −53453.8 + 53915.9i −0.385227 + 0.388557i
\(115\) 56599.2 56599.2i 0.399085 0.399085i
\(116\) 144671. + 142202.i 0.998242 + 0.981205i
\(117\) −26530.0 26530.0i −0.179173 0.179173i
\(118\) 658.773 + 153079.i 0.00435543 + 1.01207i
\(119\) 39123.1i 0.253259i
\(120\) −45766.9 + 46964.2i −0.290134 + 0.297724i
\(121\) 62661.0i 0.389076i
\(122\) 221273. 952.247i 1.34595 0.00579229i
\(123\) 123004. + 123004.i 0.733090 + 0.733090i
\(124\) 1464.69 + 170172.i 0.00855446 + 0.993877i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 14222.1 + 14100.2i 0.0798065 + 0.0791225i
\(127\) −248802. −1.36881 −0.684406 0.729101i \(-0.739938\pi\)
−0.684406 + 0.729101i \(0.739938\pi\)
\(128\) −127065. + 134960.i −0.685488 + 0.728084i
\(129\) 4021.48 0.0212771
\(130\) −114089. 113111.i −0.592087 0.587013i
\(131\) 85096.4 85096.4i 0.433244 0.433244i −0.456486 0.889730i \(-0.650892\pi\)
0.889730 + 0.456486i \(0.150892\pi\)
\(132\) 1251.84 + 145442.i 0.00625339 + 0.726534i
\(133\) 70205.8 + 70205.8i 0.344147 + 0.344147i
\(134\) 83492.3 359.309i 0.401684 0.00172865i
\(135\) 99993.9i 0.472214i
\(136\) 46109.4 47315.6i 0.213768 0.219360i
\(137\) 329996.i 1.50213i −0.660229 0.751064i \(-0.729541\pi\)
0.660229 0.751064i \(-0.270459\pi\)
\(138\) −1129.43 262445.i −0.00504849 1.17311i
\(139\) 59892.9 + 59892.9i 0.262929 + 0.262929i 0.826243 0.563314i \(-0.190474\pi\)
−0.563314 + 0.826243i \(0.690474\pi\)
\(140\) 61158.2 + 60114.4i 0.263715 + 0.259214i
\(141\) −286031. + 286031.i −1.21162 + 1.21162i
\(142\) 174632. 176141.i 0.726779 0.733062i
\(143\) −356335. −1.45720
\(144\) −582.139 33814.7i −0.00233949 0.135894i
\(145\) −158482. −0.625979
\(146\) 129454. 130573.i 0.502611 0.506956i
\(147\) 54472.0 54472.0i 0.207912 0.207912i
\(148\) 153623. 156291.i 0.576504 0.586515i
\(149\) 270127. + 270127.i 0.996788 + 0.996788i 0.999995 0.00320643i \(-0.00102064\pi\)
−0.00320643 + 0.999995i \(0.501021\pi\)
\(150\) −220.472 51231.0i −0.000800066 0.185911i
\(151\) 350356.i 1.25045i −0.780444 0.625226i \(-0.785007\pi\)
0.780444 0.625226i \(-0.214993\pi\)
\(152\) −2164.55 167650.i −0.00759903 0.588564i
\(153\) 12053.9i 0.0416294i
\(154\) 190204. 818.543i 0.646277 0.00278125i
\(155\) −94010.9 94010.9i −0.314303 0.314303i
\(156\) −526743. + 4533.76i −1.73295 + 0.0149158i
\(157\) 380068. 380068.i 1.23059 1.23059i 0.266848 0.963739i \(-0.414018\pi\)
0.963739 0.266848i \(-0.0859823\pi\)
\(158\) 217182. + 215320.i 0.692118 + 0.686187i
\(159\) 277617. 0.870869
\(160\) −3115.80 144782.i −0.00962211 0.447110i
\(161\) −343209. −1.04350
\(162\) −200588. 198869.i −0.600507 0.595360i
\(163\) −300170. + 300170.i −0.884909 + 0.884909i −0.994029 0.109120i \(-0.965197\pi\)
0.109120 + 0.994029i \(0.465197\pi\)
\(164\) −384138. + 3306.33i −1.11526 + 0.00959924i
\(165\) −80349.3 80349.3i −0.229759 0.229759i
\(166\) −329357. + 1417.39i −0.927677 + 0.00399225i
\(167\) 570089.i 1.58180i 0.611946 + 0.790900i \(0.290387\pi\)
−0.611946 + 0.790900i \(0.709613\pi\)
\(168\) 281154. 3630.02i 0.768548 0.00992282i
\(169\) 919231.i 2.47576i
\(170\) 222.122 + 51614.3i 0.000589480 + 0.136977i
\(171\) 21630.6 + 21630.6i 0.0565690 + 0.0565690i
\(172\) −6225.42 + 6333.52i −0.0160453 + 0.0163239i
\(173\) −235681. + 235681.i −0.598701 + 0.598701i −0.939967 0.341266i \(-0.889144\pi\)
0.341266 + 0.939967i \(0.389144\pi\)
\(174\) −365851. + 369014.i −0.916076 + 0.923995i
\(175\) −66996.8 −0.165371
\(176\) −230998. 223179.i −0.562118 0.543091i
\(177\) −392126. −0.940788
\(178\) 83757.2 84481.2i 0.198140 0.199853i
\(179\) 203552. 203552.i 0.474836 0.474836i −0.428640 0.903476i \(-0.641007\pi\)
0.903476 + 0.428640i \(0.141007\pi\)
\(180\) 18843.0 + 18521.4i 0.0433480 + 0.0426082i
\(181\) 530787. + 530787.i 1.20427 + 1.20427i 0.972855 + 0.231416i \(0.0743357\pi\)
0.231416 + 0.972855i \(0.425664\pi\)
\(182\) 2964.49 + 688855.i 0.00663393 + 1.54152i
\(183\) 566812.i 1.25115i
\(184\) 415078. + 404497.i 0.903827 + 0.880786i
\(185\) 171211.i 0.367792i
\(186\) −435919. + 1875.98i −0.923897 + 0.00397599i
\(187\) 80950.5 + 80950.5i 0.169284 + 0.169284i
\(188\) −7688.48 893266.i −0.0158652 1.84326i
\(189\) −303174. + 303174.i −0.617359 + 0.617359i
\(190\) 93019.7 + 92222.5i 0.186935 + 0.185333i
\(191\) 129113. 0.256087 0.128044 0.991769i \(-0.459130\pi\)
0.128044 + 0.991769i \(0.459130\pi\)
\(192\) −344307. 326970.i −0.674051 0.640111i
\(193\) −421524. −0.814571 −0.407285 0.913301i \(-0.633525\pi\)
−0.407285 + 0.913301i \(0.633525\pi\)
\(194\) −305724. 303104.i −0.583211 0.578213i
\(195\) 290998. 290998.i 0.548029 0.548029i
\(196\) 1464.20 + 170114.i 0.00272245 + 0.316301i
\(197\) 269272. + 269272.i 0.494341 + 0.494341i 0.909671 0.415330i \(-0.136334\pi\)
−0.415330 + 0.909671i \(0.636334\pi\)
\(198\) 58602.5 252.196i 0.106231 0.000457167i
\(199\) 689798.i 1.23478i −0.786658 0.617389i \(-0.788190\pi\)
0.786658 0.617389i \(-0.211810\pi\)
\(200\) 81026.1 + 78960.5i 0.143235 + 0.139584i
\(201\) 213874.i 0.373394i
\(202\) −2460.19 571672.i −0.00424219 0.985755i
\(203\) 480506. + 480506.i 0.818387 + 0.818387i
\(204\) 120693. + 118633.i 0.203052 + 0.199586i
\(205\) 212216. 212216.i 0.352690 0.352690i
\(206\) 43920.0 44299.6i 0.0721098 0.0727331i
\(207\) −105744. −0.171526
\(208\) 808280. 836598.i 1.29540 1.34078i
\(209\) 290529. 0.460070
\(210\) −154660. + 155997.i −0.242008 + 0.244100i
\(211\) 257425. 257425.i 0.398057 0.398057i −0.479490 0.877547i \(-0.659178\pi\)
0.877547 + 0.479490i \(0.159178\pi\)
\(212\) −429762. + 437225.i −0.656733 + 0.668136i
\(213\) 449270. + 449270.i 0.678513 + 0.678513i
\(214\) 1807.43 + 419992.i 0.00269791 + 0.626912i
\(215\) 6938.16i 0.0102364i
\(216\) 723973. 9347.30i 1.05581 0.0136318i
\(217\) 570069.i 0.821822i
\(218\) −623762. + 2684.36i −0.888951 + 0.00382560i
\(219\) 333041. + 333041.i 0.469232 + 0.469232i
\(220\) 250928. 2159.78i 0.349537 0.00300851i
\(221\) −293175. + 293175.i −0.403782 + 0.403782i
\(222\) 398653. + 395236.i 0.542891 + 0.538238i
\(223\) −188545. −0.253895 −0.126947 0.991909i \(-0.540518\pi\)
−0.126947 + 0.991909i \(0.540518\pi\)
\(224\) −429522. + 448415.i −0.571959 + 0.597118i
\(225\) −20641.9 −0.0271828
\(226\) 88704.2 + 87944.0i 0.115524 + 0.114534i
\(227\) 891273. 891273.i 1.14801 1.14801i 0.161068 0.986943i \(-0.448506\pi\)
0.986943 0.161068i \(-0.0514938\pi\)
\(228\) 429467. 3696.49i 0.547132 0.00470925i
\(229\) −305125. 305125.i −0.384493 0.384493i 0.488225 0.872718i \(-0.337645\pi\)
−0.872718 + 0.488225i \(0.837645\pi\)
\(230\) −452789. + 1948.58i −0.564386 + 0.00242883i
\(231\) 487227.i 0.600760i
\(232\) −14814.7 1.14744e6i −0.0180706 1.39962i
\(233\) 688626.i 0.830986i −0.909596 0.415493i \(-0.863609\pi\)
0.909596 0.415493i \(-0.136391\pi\)
\(234\) 913.367 + 212238.i 0.00109045 + 0.253387i
\(235\) 493483. + 493483.i 0.582911 + 0.582911i
\(236\) 607027. 617567.i 0.709460 0.721779i
\(237\) −553948. + 553948.i −0.640616 + 0.640616i
\(238\) 155817. 157164.i 0.178309 0.179850i
\(239\) −137710. −0.155945 −0.0779723 0.996956i \(-0.524845\pi\)
−0.0779723 + 0.996956i \(0.524845\pi\)
\(240\) 370900. 6385.27i 0.415651 0.00715568i
\(241\) 322174. 0.357312 0.178656 0.983912i \(-0.442825\pi\)
0.178656 + 0.983912i \(0.442825\pi\)
\(242\) −249563. + 251720.i −0.273932 + 0.276299i
\(243\) −175641. + 175641.i −0.190814 + 0.190814i
\(244\) −892685. 877449.i −0.959894 0.943511i
\(245\) −93979.2 93979.2i −0.100027 0.100027i
\(246\) −4234.75 984024.i −0.00446159 1.03674i
\(247\) 1.05220e6i 1.09737i
\(248\) 671867. 689443.i 0.693672 0.711818i
\(249\) 843680.i 0.862341i
\(250\) −88387.5 + 380.375i −0.0894419 + 0.000384913i
\(251\) 598775. + 598775.i 0.599901 + 0.599901i 0.940286 0.340385i \(-0.110558\pi\)
−0.340385 + 0.940286i \(0.610558\pi\)
\(252\) −975.073 113286.i −0.000967243 0.112377i
\(253\) −710142. + 710142.i −0.697500 + 0.697500i
\(254\) 999480. + 990914.i 0.972052 + 0.963722i
\(255\) −132215. −0.127330
\(256\) 1.04795e6 36093.0i 0.999407 0.0344210i
\(257\) 956071. 0.902937 0.451469 0.892287i \(-0.350900\pi\)
0.451469 + 0.892287i \(0.350900\pi\)
\(258\) −16155.0 16016.5i −0.0151098 0.0149803i
\(259\) 519100. 519100.i 0.480841 0.480841i
\(260\) 7821.98 + 908776.i 0.00717601 + 0.833727i
\(261\) 148045. + 148045.i 0.134522 + 0.134522i
\(262\) −680765. + 2929.67i −0.612694 + 0.00263673i
\(263\) 1.08736e6i 0.969356i 0.874693 + 0.484678i \(0.161063\pi\)
−0.874693 + 0.484678i \(0.838937\pi\)
\(264\) 574232. 589254.i 0.507081 0.520346i
\(265\) 478965.i 0.418976i
\(266\) −2417.02 561641.i −0.00209448 0.486693i
\(267\) 215479. + 215479.i 0.184981 + 0.184981i
\(268\) −336834. 331085.i −0.286470 0.281581i
\(269\) 835027. 835027.i 0.703590 0.703590i −0.261589 0.965179i \(-0.584246\pi\)
0.965179 + 0.261589i \(0.0842465\pi\)
\(270\) −398250. + 401693.i −0.332466 + 0.335340i
\(271\) −516488. −0.427206 −0.213603 0.976921i \(-0.568520\pi\)
−0.213603 + 0.976921i \(0.568520\pi\)
\(272\) −373676. + 6433.04i −0.306247 + 0.00527223i
\(273\) −1.76457e6 −1.43295
\(274\) −1.31429e6 + 1.32565e6i −1.05758 + 1.06673i
\(275\) −138625. + 138625.i −0.110537 + 0.110537i
\(276\) −1.04071e6 + 1.05878e6i −0.822354 + 0.836633i
\(277\) −1.28085e6 1.28085e6i −1.00300 1.00300i −0.999995 0.00300220i \(-0.999044\pi\)
−0.00300220 0.999995i \(-0.500956\pi\)
\(278\) −2061.97 479139.i −0.00160019 0.371834i
\(279\) 175640.i 0.135087i
\(280\) −6262.78 485068.i −0.00477388 0.369749i
\(281\) 1597.64i 0.00120702i −1.00000 0.000603508i \(-0.999808\pi\)
1.00000 0.000603508i \(-0.000192103\pi\)
\(282\) 2.28823e6 9847.39i 1.71347 0.00737392i
\(283\) 329511. + 329511.i 0.244570 + 0.244570i 0.818738 0.574168i \(-0.194674\pi\)
−0.574168 + 0.818738i \(0.694674\pi\)
\(284\) −1.40305e6 + 12076.3i −1.03223 + 0.00888460i
\(285\) −237258. + 237258.i −0.173025 + 0.173025i
\(286\) 1.43146e6 + 1.41919e6i 1.03482 + 1.02595i
\(287\) −1.28685e6 −0.922194
\(288\) −132337. + 138158.i −0.0940155 + 0.0981511i
\(289\) −1.28665e6 −0.906185
\(290\) 636650. + 631194.i 0.444535 + 0.440725i
\(291\) 779786. 779786.i 0.539813 0.539813i
\(292\) −1.04008e6 + 8952.09i −0.713852 + 0.00614423i
\(293\) −1.96984e6 1.96984e6i −1.34048 1.34048i −0.895578 0.444905i \(-0.853237\pi\)
−0.444905 0.895578i \(-0.646763\pi\)
\(294\) −435772. + 1875.34i −0.294030 + 0.00126536i
\(295\) 676524.i 0.452614i
\(296\) −1.23960e6 + 16004.6i −0.822340 + 0.0106173i
\(297\) 1.25461e6i 0.825311i
\(298\) −9299.85 2.16100e6i −0.00606646 1.40966i
\(299\) −2.57189e6 2.57189e6i −1.66370 1.66370i
\(300\) −203154. + 206682.i −0.130324 + 0.132587i
\(301\) −21036.0 + 21036.0i −0.0133828 + 0.0133828i
\(302\) −1.39538e6 + 1.40744e6i −0.880390 + 0.888000i
\(303\) 1.46439e6 0.916329
\(304\) −659011. + 682099.i −0.408986 + 0.423315i
\(305\) 977906. 0.601932
\(306\) 48007.8 48422.8i 0.0293095 0.0295628i
\(307\) 52781.8 52781.8i 0.0319623 0.0319623i −0.690945 0.722907i \(-0.742805\pi\)
0.722907 + 0.690945i \(0.242805\pi\)
\(308\) −767344. 754248.i −0.460907 0.453041i
\(309\) 112992. + 112992.i 0.0673209 + 0.0673209i
\(310\) 3236.57 + 752080.i 0.00191285 + 0.444488i
\(311\) 1.68699e6i 0.989034i −0.869168 0.494517i \(-0.835345\pi\)
0.869168 0.494517i \(-0.164655\pi\)
\(312\) 2.13408e6 + 2.07967e6i 1.24115 + 1.20951i
\(313\) 1.81610e6i 1.04780i −0.851780 0.523900i \(-0.824476\pi\)
0.851780 0.523900i \(-0.175524\pi\)
\(314\) −3.04052e6 + 13084.9i −1.74030 + 0.00748936i
\(315\) 62584.8 + 62584.8i 0.0355379 + 0.0355379i
\(316\) −14890.0 1.72996e6i −0.00838837 0.974582i
\(317\) −559123. + 559123.i −0.312507 + 0.312507i −0.845880 0.533373i \(-0.820924\pi\)
0.533373 + 0.845880i \(0.320924\pi\)
\(318\) −1.11524e6 1.10568e6i −0.618442 0.613141i
\(319\) 1.98845e6 1.09405
\(320\) −564113. + 594024.i −0.307958 + 0.324287i
\(321\) −1.07585e6 −0.582759
\(322\) 1.37873e6 + 1.36692e6i 0.741037 + 0.734686i
\(323\) 239033. 239033.i 0.127483 0.127483i
\(324\) 13752.4 + 1.59779e6i 0.00727806 + 0.845582i
\(325\) −502051. 502051.i −0.263657 0.263657i
\(326\) 2.40134e6 10334.2i 1.25144 0.00538556i
\(327\) 1.59783e6i 0.826343i
\(328\) 1.55632e6 + 1.51664e6i 0.798755 + 0.778393i
\(329\) 2.99241e6i 1.52416i
\(330\) 2766.24 + 642788.i 0.00139831 + 0.324925i
\(331\) −578758. 578758.i −0.290353 0.290353i 0.546866 0.837220i \(-0.315821\pi\)
−0.837220 + 0.546866i \(0.815821\pi\)
\(332\) 1.32873e6 + 1.30605e6i 0.661594 + 0.650302i
\(333\) 159936. 159936.i 0.0790381 0.0790381i
\(334\) 2.27052e6 2.29015e6i 1.11368 1.12330i
\(335\) 368991. 0.179640
\(336\) −1.14390e6 1.10518e6i −0.552766 0.534055i
\(337\) 302009. 0.144859 0.0724294 0.997374i \(-0.476925\pi\)
0.0724294 + 0.997374i \(0.476925\pi\)
\(338\) −3.66107e6 + 3.69271e6i −1.74307 + 1.75814i
\(339\) −226251. + 226251.i −0.106928 + 0.106928i
\(340\) 204675. 208228.i 0.0960211 0.0976883i
\(341\) 1.17954e6 + 1.17954e6i 0.549323 + 0.549323i
\(342\) −744.691 173043.i −0.000344279 0.0799999i
\(343\) 2.37150e6i 1.08840i
\(344\) 50233.4 648.570i 0.0228874 0.000295502i
\(345\) 1.15986e6i 0.524637i
\(346\) 1.88543e6 8113.96i 0.846683 0.00364370i
\(347\) 1.50429e6 + 1.50429e6i 0.670668 + 0.670668i 0.957870 0.287202i \(-0.0927252\pi\)
−0.287202 + 0.957870i \(0.592725\pi\)
\(348\) 2.93938e6 25299.7i 1.30109 0.0111987i
\(349\) 1.83398e6 1.83398e6i 0.805991 0.805991i −0.178033 0.984024i \(-0.556973\pi\)
0.984024 + 0.178033i \(0.0569734\pi\)
\(350\) 269138. + 266831.i 0.117437 + 0.116430i
\(351\) −4.54377e6 −1.96856
\(352\) 39093.6 + 1.81656e6i 0.0168170 + 0.781436i
\(353\) 1.77583e6 0.758518 0.379259 0.925291i \(-0.376179\pi\)
0.379259 + 0.925291i \(0.376179\pi\)
\(354\) 1.57524e6 + 1.56174e6i 0.668095 + 0.662369i
\(355\) 775114. 775114.i 0.326433 0.326433i
\(356\) −672935. + 5792.05i −0.281415 + 0.00242219i
\(357\) 400866. + 400866.i 0.166467 + 0.166467i
\(358\) −1.62840e6 + 7007.83i −0.671513 + 0.00288985i
\(359\) 3.49681e6i 1.43198i −0.698112 0.715989i \(-0.745976\pi\)
0.698112 0.715989i \(-0.254024\pi\)
\(360\) −1929.58 149451.i −0.000784705 0.0607774i
\(361\) 1.61822e6i 0.653535i
\(362\) −18273.8 4.24626e6i −0.00732920 1.70308i
\(363\) −642043. 642043.i −0.255739 0.255739i
\(364\) 2.73163e6 2.77906e6i 1.08061 1.09937i
\(365\) 574588. 574588.i 0.225748 0.225748i
\(366\) 2.25747e6 2.27698e6i 0.880885 0.888499i
\(367\) −2.62089e6 −1.01574 −0.507871 0.861433i \(-0.669567\pi\)
−0.507871 + 0.861433i \(0.669567\pi\)
\(368\) −56434.2 3.27809e6i −0.0217231 1.26183i
\(369\) −396482. −0.151585
\(370\) 681891. 687786.i 0.258947 0.261185i
\(371\) −1.45219e6 + 1.45219e6i −0.547757 + 0.547757i
\(372\) 1.75864e6 + 1.72862e6i 0.658898 + 0.647653i
\(373\) 2.79160e6 + 2.79160e6i 1.03892 + 1.03892i 0.999211 + 0.0397054i \(0.0126419\pi\)
0.0397054 + 0.999211i \(0.487358\pi\)
\(374\) −2786.94 647598.i −0.00103026 0.239401i
\(375\) 226413.i 0.0831426i
\(376\) −3.52677e6 + 3.61903e6i −1.28649 + 1.32015i
\(377\) 7.20150e6i 2.60957i
\(378\) 2.42537e6 10437.6i 0.873069 0.00375725i
\(379\) −461750. 461750.i −0.165124 0.165124i 0.619708 0.784832i \(-0.287251\pi\)
−0.784832 + 0.619708i \(0.787251\pi\)
\(380\) −6377.45 740948.i −0.00226563 0.263226i
\(381\) −2.54929e6 + 2.54929e6i −0.899720 + 0.899720i
\(382\) −518671. 514226.i −0.181859 0.180300i
\(383\) 4.80889e6 1.67513 0.837563 0.546341i \(-0.183980\pi\)
0.837563 + 0.546341i \(0.183980\pi\)
\(384\) 80901.7 + 2.68479e6i 0.0279982 + 0.929141i
\(385\) 840600. 0.289026
\(386\) 1.69334e6 + 1.67882e6i 0.578462 + 0.573505i
\(387\) −6481.25 + 6481.25i −0.00219979 + 0.00219979i
\(388\) 20960.5 + 2.43525e6i 0.00706843 + 0.821227i
\(389\) 2.78429e6 + 2.78429e6i 0.932910 + 0.932910i 0.997887 0.0649768i \(-0.0206974\pi\)
−0.0649768 + 0.997887i \(0.520697\pi\)
\(390\) −2.32796e6 + 10018.4i −0.775022 + 0.00333531i
\(391\) 1.16854e6i 0.386547i
\(392\) 671640. 689210.i 0.220761 0.226536i
\(393\) 1.74384e6i 0.569543i
\(394\) −9270.42 2.15416e6i −0.00300856 0.699097i
\(395\) 955712. + 955712.i 0.308201 + 0.308201i
\(396\) −236421. 232386.i −0.0757614 0.0744684i
\(397\) 3.23710e6 3.23710e6i 1.03081 1.03081i 0.0313023 0.999510i \(-0.490035\pi\)
0.999510 0.0313023i \(-0.00996545\pi\)
\(398\) −2.74729e6 + 2.77104e6i −0.869355 + 0.876870i
\(399\) 1.43870e6 0.452415
\(400\) −11016.3 639905.i −0.00344261 0.199970i
\(401\) 3.35378e6 1.04154 0.520768 0.853698i \(-0.325646\pi\)
0.520768 + 0.853698i \(0.325646\pi\)
\(402\) 851805. 859168.i 0.262890 0.265163i
\(403\) −4.27190e6 + 4.27190e6i −1.31026 + 1.31026i
\(404\) −2.26695e6 + 2.30631e6i −0.691015 + 0.703014i
\(405\) −882693. 882693.i −0.267407 0.267407i
\(406\) −16542.7 3.84401e6i −0.00498071 1.15736i
\(407\) 2.14816e6i 0.642808i
\(408\) −12359.3 957259.i −0.00367573 0.284695i
\(409\) 4.64018e6i 1.37160i 0.727791 + 0.685799i \(0.240547\pi\)
−0.727791 + 0.685799i \(0.759453\pi\)
\(410\) −1.69771e6 + 7306.10i −0.498775 + 0.00214648i
\(411\) −3.38123e6 3.38123e6i −0.987349 0.987349i
\(412\) −352869. + 3037.20i −0.102417 + 0.000881515i
\(413\) 2.05117e6 2.05117e6i 0.591735 0.591735i
\(414\) 424791. + 421151.i 0.121808 + 0.120764i
\(415\) −1.45558e6 −0.414873
\(416\) −6.57896e6 + 141584.i −1.86391 + 0.0401125i
\(417\) 1.22736e6 0.345646
\(418\) −1.16711e6 1.15710e6i −0.326715 0.323915i
\(419\) −2.47570e6 + 2.47570e6i −0.688910 + 0.688910i −0.961991 0.273081i \(-0.911957\pi\)
0.273081 + 0.961991i \(0.411957\pi\)
\(420\) 1.24259e6 10695.2i 0.343721 0.00295846i
\(421\) −1.28841e6 1.28841e6i −0.354281 0.354281i 0.507419 0.861700i \(-0.330600\pi\)
−0.861700 + 0.507419i \(0.830600\pi\)
\(422\) −2.05938e6 + 8862.55i −0.562932 + 0.00242258i
\(423\) 921970.i 0.250534i
\(424\) 3.46779e6 44773.1i 0.936781 0.0120949i
\(425\) 228107.i 0.0612586i
\(426\) −15467.3 3.59412e6i −0.00412943 0.959553i
\(427\) −2.96494e6 2.96494e6i −0.786948 0.786948i
\(428\) 1.66546e6 1.69438e6i 0.439466 0.447097i
\(429\) −3.65111e6 + 3.65111e6i −0.957816 + 0.957816i
\(430\) −27632.9 + 27871.8i −0.00720702 + 0.00726932i
\(431\) 1.61577e6 0.418974 0.209487 0.977811i \(-0.432821\pi\)
0.209487 + 0.977811i \(0.432821\pi\)
\(432\) −2.94555e6 2.84585e6i −0.759377 0.733673i
\(433\) −1.88619e6 −0.483466 −0.241733 0.970343i \(-0.577716\pi\)
−0.241733 + 0.970343i \(0.577716\pi\)
\(434\) 2.27044e6 2.29007e6i 0.578610 0.583611i
\(435\) −1.62385e6 + 1.62385e6i −0.411456 + 0.411456i
\(436\) 2.51645e6 + 2.47350e6i 0.633976 + 0.623156i
\(437\) 2.09693e6 + 2.09693e6i 0.525267 + 0.525267i
\(438\) −11465.8 2.66430e6i −0.00285575 0.663588i
\(439\) 1.61358e6i 0.399604i −0.979836 0.199802i \(-0.935970\pi\)
0.979836 0.199802i \(-0.0640299\pi\)
\(440\) −1.01662e6 990708.i −0.250339 0.243957i
\(441\) 175581.i 0.0429912i
\(442\) 2.34538e6 10093.3i 0.571028 0.00245742i
\(443\) 577577. + 577577.i 0.139830 + 0.139830i 0.773557 0.633727i \(-0.218476\pi\)
−0.633727 + 0.773557i \(0.718476\pi\)
\(444\) −27331.7 3.17547e6i −0.00657976 0.764452i
\(445\) 371761. 371761.i 0.0889947 0.0889947i
\(446\) 757419. + 750928.i 0.180301 + 0.178756i
\(447\) 5.53561e6 1.31038
\(448\) 3.51139e6 90687.1i 0.826578 0.0213477i
\(449\) 2.64466e6 0.619091 0.309545 0.950885i \(-0.399823\pi\)
0.309545 + 0.950885i \(0.399823\pi\)
\(450\) 82922.2 + 82211.5i 0.0193036 + 0.0191382i
\(451\) −2.66265e6 + 2.66265e6i −0.616414 + 0.616414i
\(452\) −6081.59 706574.i −0.00140014 0.162671i
\(453\) −3.58985e6 3.58985e6i −0.821922 0.821922i
\(454\) −7.13012e6 + 30684.4i −1.62352 + 0.00698681i
\(455\) 3.04437e6i 0.689396i
\(456\) −1.73997e6 1.69561e6i −0.391858 0.381868i
\(457\) 6.80608e6i 1.52443i 0.647325 + 0.762214i \(0.275887\pi\)
−0.647325 + 0.762214i \(0.724113\pi\)
\(458\) 10504.7 + 2.44097e6i 0.00234003 + 0.543750i
\(459\) 1.03223e6 + 1.03223e6i 0.228689 + 0.228689i
\(460\) 1.82669e6 + 1.79552e6i 0.402505 + 0.395635i
\(461\) 4.81633e6 4.81633e6i 1.05551 1.05551i 0.0571485 0.998366i \(-0.481799\pi\)
0.998366 0.0571485i \(-0.0182009\pi\)
\(462\) 1.94050e6 1.95728e6i 0.422969 0.426626i
\(463\) −4.09641e6 −0.888078 −0.444039 0.896007i \(-0.646455\pi\)
−0.444039 + 0.896007i \(0.646455\pi\)
\(464\) −4.51044e6 + 4.66846e6i −0.972577 + 1.00665i
\(465\) −1.92653e6 −0.413183
\(466\) −2.74262e6 + 2.76633e6i −0.585062 + 0.590119i
\(467\) 4.72907e6 4.72907e6i 1.00342 1.00342i 0.00342756 0.999994i \(-0.498909\pi\)
0.999994 0.00342756i \(-0.00109103\pi\)
\(468\) 841623. 856237.i 0.177624 0.180709i
\(469\) −1.11875e6 1.11875e6i −0.234856 0.234856i
\(470\) −16989.5 3.94783e6i −0.00354760 0.824353i
\(471\) 7.78858e6i 1.61773i
\(472\) −4.89815e6 + 63240.7i −1.01199 + 0.0130660i
\(473\) 87052.1i 0.0178907i
\(474\) 4.43154e6 19071.1i 0.905959 0.00389879i
\(475\) 409335. + 409335.i 0.0832425 + 0.0832425i
\(476\) −1.25189e6 + 10775.2i −0.253250 + 0.00217976i
\(477\) −447423. + 447423.i −0.0900373 + 0.0900373i
\(478\) 553205. + 548464.i 0.110743 + 0.109794i
\(479\) 3.50516e6 0.698023 0.349011 0.937118i \(-0.386517\pi\)
0.349011 + 0.937118i \(0.386517\pi\)
\(480\) −1.51540e6 1.45155e6i −0.300210 0.287561i
\(481\) 7.77992e6 1.53325
\(482\) −1.29423e6 1.28314e6i −0.253743 0.251568i
\(483\) −3.51662e6 + 3.51662e6i −0.685895 + 0.685895i
\(484\) 2.00508e6 17258.0i 0.389061 0.00334871i
\(485\) −1.34535e6 1.34535e6i −0.259705 0.259705i
\(486\) 1.40512e6 6046.91i 0.269850 0.00116130i
\(487\) 1.64836e6i 0.314942i −0.987524 0.157471i \(-0.949666\pi\)
0.987524 0.157471i \(-0.0503341\pi\)
\(488\) 91413.4 + 7.08021e6i 0.0173764 + 1.34585i
\(489\) 6.15126e6i 1.16330i
\(490\) 3235.48 + 751827.i 0.000608764 + 0.141458i
\(491\) 5.13183e6 + 5.13183e6i 0.960658 + 0.960658i 0.999255 0.0385967i \(-0.0122888\pi\)
−0.0385967 + 0.999255i \(0.512289\pi\)
\(492\) −3.90211e6 + 3.96987e6i −0.726753 + 0.739372i
\(493\) 1.63600e6 1.63600e6i 0.303156 0.303156i
\(494\) 4.19064e6 4.22686e6i 0.772614 0.779293i
\(495\) 258991. 0.0475086
\(496\) −5.44489e6 + 93736.9i −0.993767 + 0.0171083i
\(497\) −4.70018e6 −0.853539
\(498\) −3.36016e6 + 3.38921e6i −0.607138 + 0.612386i
\(499\) −3.30726e6 + 3.30726e6i −0.594589 + 0.594589i −0.938867 0.344279i \(-0.888123\pi\)
0.344279 + 0.938867i \(0.388123\pi\)
\(500\) 356583. + 350497.i 0.0637876 + 0.0626989i
\(501\) 5.84130e6 + 5.84130e6i 1.03972 + 1.03972i
\(502\) −20614.4 4.79016e6i −0.00365100 0.848380i
\(503\) 359668.i 0.0633843i 0.999498 + 0.0316921i \(0.0100896\pi\)
−0.999498 + 0.0316921i \(0.989910\pi\)
\(504\) −447274. + 458975.i −0.0784327 + 0.0804845i
\(505\) 2.52648e6i 0.440847i
\(506\) 5.68108e6 24448.5i 0.986404 0.00424499i
\(507\) −9.41871e6 9.41871e6i −1.62731 1.62731i
\(508\) −68524.6 7.96135e6i −0.0117811 1.36876i
\(509\) −2.19114e6 + 2.19114e6i −0.374866 + 0.374866i −0.869246 0.494380i \(-0.835395\pi\)
0.494380 + 0.869246i \(0.335395\pi\)
\(510\) 531131. + 526579.i 0.0904225 + 0.0896475i
\(511\) −3.48422e6 −0.590273
\(512\) −4.35357e6 4.02875e6i −0.733957 0.679196i
\(513\) 3.70465e6 0.621518
\(514\) −3.84071e6 3.80779e6i −0.641215 0.635719i
\(515\) 194942. 194942.i 0.0323882 0.0323882i
\(516\) 1107.59 + 128683.i 0.000183128 + 0.0212763i
\(517\) −6.19167e6 6.19167e6i −1.01878 1.01878i
\(518\) −4.15276e6 + 17871.4i −0.680006 + 0.00292640i
\(519\) 4.82972e6i 0.787052i
\(520\) 3.58801e6 3.68187e6i 0.581895 0.597118i
\(521\) 4.25817e6i 0.687271i −0.939103 0.343636i \(-0.888341\pi\)
0.939103 0.343636i \(-0.111659\pi\)
\(522\) −5096.85 1.18435e6i −0.000818702 0.190241i
\(523\) 7.40345e6 + 7.40345e6i 1.18353 + 1.18353i 0.978823 + 0.204710i \(0.0656250\pi\)
0.204710 + 0.978823i \(0.434375\pi\)
\(524\) 2.74642e6 + 2.69955e6i 0.436957 + 0.429499i
\(525\) −686468. + 686468.i −0.108698 + 0.108698i
\(526\) 4.33068e6 4.36811e6i 0.682482 0.688382i
\(527\) 1.94094e6 0.304429
\(528\) −4.65364e6 + 80115.1i −0.726454 + 0.0125063i
\(529\) −3.81474e6 −0.592688
\(530\) −1.90760e6 + 1.92409e6i −0.294983 + 0.297533i
\(531\) 631972. 631972.i 0.0972662 0.0972662i
\(532\) −2.22717e6 + 2.26584e6i −0.341172 + 0.347096i
\(533\) −9.64320e6 9.64320e6i −1.47029 1.47029i
\(534\) −7418.45 1.72382e6i −0.00112580 0.261600i
\(535\) 1.85614e6i 0.280366i
\(536\) 34492.8 + 2.67156e6i 0.00518581 + 0.401654i
\(537\) 4.17131e6i 0.624219i
\(538\) −6.68016e6 + 28748.0i −0.995018 + 0.00428206i
\(539\) 1.17914e6 + 1.17914e6i 0.174822 + 0.174822i
\(540\) 3.19968e6 27540.2i 0.472197 0.00406427i
\(541\) −5.76076e6 + 5.76076e6i −0.846227 + 0.846227i −0.989660 0.143433i \(-0.954186\pi\)
0.143433 + 0.989660i \(0.454186\pi\)
\(542\) 2.07482e6 + 2.05704e6i 0.303377 + 0.300777i
\(543\) 1.08772e7 1.58313
\(544\) 1.52674e6 + 1.46241e6i 0.221191 + 0.211872i
\(545\) −2.75669e6 −0.397555
\(546\) 7.08859e6 + 7.02784e6i 1.01760 + 1.00888i
\(547\) −8.22698e6 + 8.22698e6i −1.17563 + 1.17563i −0.194789 + 0.980845i \(0.562402\pi\)
−0.980845 + 0.194789i \(0.937598\pi\)
\(548\) 1.05595e7 90887.0i 1.50207 0.0129286i
\(549\) −913507. 913507.i −0.129354 0.129354i
\(550\) 1.10899e6 4772.52i 0.156322 0.000672731i
\(551\) 5.87157e6i 0.823901i
\(552\) 8.39760e6 108423.i 1.17303 0.0151451i
\(553\) 5.79530e6i 0.805866i
\(554\) 44096.8 + 1.02467e7i 0.00610425 + 1.41844i
\(555\) 1.75428e6 + 1.75428e6i 0.241750 + 0.241750i
\(556\) −1.90001e6 + 1.93300e6i −0.260656 + 0.265182i
\(557\) 7.73657e6 7.73657e6i 1.05660 1.05660i 0.0583011 0.998299i \(-0.481432\pi\)
0.998299 0.0583011i \(-0.0185684\pi\)
\(558\) 699529. 705576.i 0.0951087 0.0959309i
\(559\) −315273. −0.0426734
\(560\) −1.90675e6 + 1.97355e6i −0.256935 + 0.265936i
\(561\) 1.65888e6 0.222540
\(562\) −6363.00 + 6418.00i −0.000849809 + 0.000857154i
\(563\) 2.50199e6 2.50199e6i 0.332671 0.332671i −0.520929 0.853600i \(-0.674414\pi\)
0.853600 + 0.520929i \(0.174414\pi\)
\(564\) −9.23145e6 9.07389e6i −1.22200 1.20115i
\(565\) 390345. + 390345.i 0.0514431 + 0.0514431i
\(566\) −11344.3 2.63606e6i −0.00148846 0.345871i
\(567\) 5.35252e6i 0.699199i
\(568\) 5.68441e6 + 5.53950e6i 0.739290 + 0.720443i
\(569\) 1.03796e7i 1.34400i 0.740553 + 0.671998i \(0.234564\pi\)
−0.740553 + 0.671998i \(0.765436\pi\)
\(570\) 1.89805e6 8168.23i 0.244692 0.00105303i
\(571\) −5.45756e6 5.45756e6i −0.700501 0.700501i 0.264017 0.964518i \(-0.414952\pi\)
−0.964518 + 0.264017i \(0.914952\pi\)
\(572\) −98141.3 1.14023e7i −0.0125419 1.45714i
\(573\) 1.32293e6 1.32293e6i 0.168326 0.168326i
\(574\) 5.16949e6 + 5.12519e6i 0.654890 + 0.649277i
\(575\) −2.00108e6 −0.252403
\(576\) 1.08187e6 27941.0i 0.135868 0.00350902i
\(577\) 4.38574e6 0.548407 0.274203 0.961672i \(-0.411586\pi\)
0.274203 + 0.961672i \(0.411586\pi\)
\(578\) 5.16871e6 + 5.12441e6i 0.643521 + 0.638006i
\(579\) −4.31906e6 + 4.31906e6i −0.535417 + 0.535417i
\(580\) −43648.9 5.07124e6i −0.00538770 0.625956i
\(581\) 4.41321e6 + 4.41321e6i 0.542393 + 0.542393i
\(582\) −6.23823e6 + 26846.2i −0.763403 + 0.00328530i
\(583\) 6.00951e6i 0.732264i
\(584\) 4.21382e6 + 4.10640e6i 0.511263 + 0.498229i
\(585\) 937978.i 0.113319i
\(586\) 67816.9 + 1.57586e7i 0.00815819 + 1.89571i
\(587\) −1.06219e7 1.06219e7i −1.27235 1.27235i −0.944852 0.327498i \(-0.893795\pi\)
−0.327498 0.944852i \(-0.606205\pi\)
\(588\) 1.75804e6 + 1.72804e6i 0.209694 + 0.206115i
\(589\) 3.48299e6 3.48299e6i 0.413679 0.413679i
\(590\) 2.69443e6 2.71772e6i 0.318666 0.321421i
\(591\) 5.51809e6 0.649860
\(592\) 5.04343e6 + 4.87272e6i 0.591455 + 0.571435i
\(593\) −6.12696e6 −0.715498 −0.357749 0.933818i \(-0.616456\pi\)
−0.357749 + 0.933818i \(0.616456\pi\)
\(594\) 4.99680e6 5.03999e6i 0.581066 0.586089i
\(595\) 691605. 691605.i 0.0800877 0.0800877i
\(596\) −8.56936e6 + 8.71816e6i −0.988172 + 1.00533i
\(597\) −7.06787e6 7.06787e6i −0.811620 0.811620i
\(598\) 88544.3 + 2.05750e7i 0.0101253 + 2.35281i
\(599\) 9.90169e6i 1.12757i 0.825923 + 0.563784i \(0.190655\pi\)
−0.825923 + 0.563784i \(0.809345\pi\)
\(600\) 1.63927e6 21164.8i 0.185897 0.00240014i
\(601\) 1.04602e7i 1.18128i 0.806935 + 0.590640i \(0.201125\pi\)
−0.806935 + 0.590640i \(0.798875\pi\)
\(602\) 168286. 724.220i 0.0189259 8.14478e-5i
\(603\) −344691. 344691.i −0.0386044 0.0386044i
\(604\) 1.12110e7 96494.6i 1.25041 0.0107624i
\(605\) −1.10770e6 + 1.10770e6i −0.123037 + 0.123037i
\(606\) −5.88273e6 5.83231e6i −0.650725 0.645148i
\(607\) 1.22247e7 1.34668 0.673342 0.739331i \(-0.264858\pi\)
0.673342 + 0.739331i \(0.264858\pi\)
\(608\) 5.36400e6 115437.i 0.588477 0.0126644i
\(609\) 9.84681e6 1.07585
\(610\) −3.92842e6 3.89475e6i −0.427458 0.423795i
\(611\) 2.24241e7 2.24241e7i 2.43003 2.43003i
\(612\) −385712. + 3319.88i −0.0416279 + 0.000358297i
\(613\) −6.55131e6 6.55131e6i −0.704169 0.704169i 0.261134 0.965303i \(-0.415904\pi\)
−0.965303 + 0.261134i \(0.915904\pi\)
\(614\) −422250. + 1817.15i −0.0452011 + 0.000194523i
\(615\) 4.34886e6i 0.463647i
\(616\) 78578.2 + 6.08609e6i 0.00834354 + 0.646229i
\(617\) 1.02198e6i 0.108076i −0.998539 0.0540382i \(-0.982791\pi\)
0.998539 0.0540382i \(-0.0172093\pi\)
\(618\) −3890.03 903924.i −0.000409715 0.0952052i
\(619\) −2.94048e6 2.94048e6i −0.308455 0.308455i 0.535855 0.844310i \(-0.319989\pi\)
−0.844310 + 0.535855i \(0.819989\pi\)
\(620\) 2.98234e6 3.03413e6i 0.311587 0.316997i
\(621\) −9.05531e6 + 9.05531e6i −0.942268 + 0.942268i
\(622\) −6.71885e6 + 6.77693e6i −0.696337 + 0.702356i
\(623\) −2.25431e6 −0.232698
\(624\) −290150. 1.68539e7i −0.0298305 1.73276i
\(625\) −390625. −0.0400000
\(626\) −7.23307e6 + 7.29559e6i −0.737712 + 0.744089i
\(627\) 2.97684e6 2.97684e6i 0.302404 0.302404i
\(628\) 1.22664e7 + 1.20571e7i 1.24113 + 1.21995i
\(629\) −1.76741e6 1.76741e6i −0.178119 0.178119i
\(630\) −2154.65 500673.i −0.000216284 0.0502578i
\(631\) 1.12174e7i 1.12155i −0.827967 0.560777i \(-0.810503\pi\)
0.827967 0.560777i \(-0.189497\pi\)
\(632\) −6.83018e6 + 7.00886e6i −0.680204 + 0.697998i
\(633\) 5.27531e6i 0.523285i
\(634\) 4.47294e6 19249.3i 0.441947 0.00190192i
\(635\) 4.39823e6 + 4.39823e6i 0.432856 + 0.432856i
\(636\) 76460.8 + 8.88340e6i 0.00749542 + 0.870836i
\(637\) −4.27046e6 + 4.27046e6i −0.416991 + 0.416991i
\(638\) −7.98797e6 7.91951e6i −0.776935 0.770277i
\(639\) −1.44814e6 −0.140300
\(640\) 4.63199e6 139578.i 0.447011 0.0134700i
\(641\) −2.58254e6 −0.248257 −0.124128 0.992266i \(-0.539613\pi\)
−0.124128 + 0.992266i \(0.539613\pi\)
\(642\) 4.32188e6 + 4.28484e6i 0.413842 + 0.410296i
\(643\) 1.03616e7 1.03616e7i 0.988322 0.988322i −0.0116102 0.999933i \(-0.503696\pi\)
0.999933 + 0.0116102i \(0.00369573\pi\)
\(644\) −94526.2 1.09823e7i −0.00898127 1.04347i
\(645\) −71090.4 71090.4i −0.00672839 0.00672839i
\(646\) −1.91225e6 + 8229.35i −0.180286 + 0.000775862i
\(647\) 1.27987e7i 1.20201i −0.799247 0.601003i \(-0.794768\pi\)
0.799247 0.601003i \(-0.205232\pi\)
\(648\) 6.30833e6 6.47336e6i 0.590170 0.605609i
\(649\) 8.48826e6i 0.791056i
\(650\) 17284.4 + 4.01637e6i 0.00160462 + 0.372864i
\(651\) 5.84109e6 + 5.84109e6i 0.540183 + 0.540183i
\(652\) −9.68776e6 9.52242e6i −0.892492 0.877260i
\(653\) 1.02668e7 1.02668e7i 0.942221 0.942221i −0.0561986 0.998420i \(-0.517898\pi\)
0.998420 + 0.0561986i \(0.0178980\pi\)
\(654\) −6.36374e6 + 6.41875e6i −0.581793 + 0.586822i
\(655\) −3.00861e6 −0.274008
\(656\) −211598. 1.22910e7i −0.0191978 1.11514i
\(657\) −1.07350e6 −0.0970259
\(658\) −1.19180e7 + 1.20210e7i −1.07310 + 1.08237i
\(659\) 1.28343e6 1.28343e6i 0.115122 0.115122i −0.647199 0.762321i \(-0.724060\pi\)
0.762321 + 0.647199i \(0.224060\pi\)
\(660\) 2.54895e6 2.59321e6i 0.227773 0.231728i
\(661\) −5.96696e6 5.96696e6i −0.531190 0.531190i 0.389737 0.920926i \(-0.372566\pi\)
−0.920926 + 0.389737i \(0.872566\pi\)
\(662\) 19925.3 + 4.63002e6i 0.00176709 + 0.410618i
\(663\) 6.00792e6i 0.530811i
\(664\) −136066. 1.05386e7i −0.0119765 0.927608i
\(665\) 2.48215e6i 0.217658i
\(666\) −1.27948e6 + 5506.23i −0.111776 + 0.000481026i
\(667\) 1.43519e7 + 1.43519e7i 1.24909 + 1.24909i
\(668\) −1.82422e7 + 157013.i −1.58174 + 0.0136143i
\(669\) −1.93189e6 + 1.93189e6i −0.166885 + 0.166885i
\(670\) −1.48230e6 1.46960e6i −0.127570 0.126477i
\(671\) −1.22697e7 −1.05203
\(672\) 193591. + 8.99560e6i 0.0165372 + 0.768434i
\(673\) −1.19602e7 −1.01789 −0.508946 0.860798i \(-0.669965\pi\)
−0.508946 + 0.860798i \(0.669965\pi\)
\(674\) −1.21322e6 1.20283e6i −0.102871 0.101989i
\(675\) −1.76766e6 + 1.76766e6i −0.149327 + 0.149327i
\(676\) 2.94143e7 253173.i 2.47567 0.0213084i
\(677\) 7.18308e6 + 7.18308e6i 0.602337 + 0.602337i 0.940932 0.338595i \(-0.109952\pi\)
−0.338595 + 0.940932i \(0.609952\pi\)
\(678\) 1.80999e6 7789.29i 0.151217 0.000650764i
\(679\) 8.15798e6i 0.679060i
\(680\) −1.65154e6 + 21323.2i −0.136967 + 0.00176840i
\(681\) 1.82645e7i 1.50918i
\(682\) −40608.9 9.43625e6i −0.00334318 0.776853i
\(683\) −41039.4 41039.4i −0.00336627 0.00336627i 0.705422 0.708788i \(-0.250758\pi\)
−0.708788 + 0.705422i \(0.750758\pi\)
\(684\) −686196. + 698111.i −0.0560800 + 0.0570538i
\(685\) −5.83356e6 + 5.83356e6i −0.475015 + 0.475015i
\(686\) 9.44509e6 9.52673e6i 0.766295 0.772919i
\(687\) −6.25279e6 −0.505454
\(688\) −204380. 197462.i −0.0164614 0.0159042i
\(689\) −2.17644e7 −1.74662
\(690\) −4.61944e6 + 4.65937e6i −0.369374 + 0.372567i
\(691\) −1.21095e7 + 1.21095e7i −0.964789 + 0.964789i −0.999401 0.0346122i \(-0.988980\pi\)
0.0346122 + 0.999401i \(0.488980\pi\)
\(692\) −7.60644e6 7.47661e6i −0.603832 0.593526i
\(693\) −785243. 785243.i −0.0621113 0.0621113i
\(694\) −51789.1 1.20342e7i −0.00408169 0.948459i
\(695\) 2.11753e6i 0.166291i
\(696\) −1.19088e7 1.16052e7i −0.931845 0.908089i
\(697\) 4.38139e6i 0.341610i
\(698\) −1.46717e7 + 63139.5i −1.13983 + 0.00490527i
\(699\) −7.05586e6 7.05586e6i −0.546207 0.546207i
\(700\) −18452.2 2.14382e6i −0.00142332 0.165365i
\(701\) −1.18871e7 + 1.18871e7i −0.913655 + 0.913655i −0.996558 0.0829024i \(-0.973581\pi\)
0.0829024 + 0.996558i \(0.473581\pi\)
\(702\) 1.82531e7 + 1.80967e7i 1.39796 + 1.38598i
\(703\) −6.34317e6 −0.484081
\(704\) 7.07786e6 7.45314e6i 0.538233 0.566771i
\(705\) 1.01127e7 0.766295
\(706\) −7.13384e6 7.07270e6i −0.538656 0.534040i
\(707\) −7.66011e6 + 7.66011e6i −0.576351 + 0.576351i
\(708\) −107999. 1.25476e7i −0.00809721 0.940754i
\(709\) −7.00006e6 7.00006e6i −0.522981 0.522981i 0.395489 0.918471i \(-0.370575\pi\)
−0.918471 + 0.395489i \(0.870575\pi\)
\(710\) −6.20085e6 + 26685.4i −0.461642 + 0.00198668i
\(711\) 1.78555e6i 0.132464i
\(712\) 2.72637e6 + 2.65686e6i 0.201551 + 0.196412i
\(713\) 1.70270e7i 1.25434i
\(714\) −13800.9 3.20690e6i −0.00101312 0.235418i
\(715\) 6.29917e6 + 6.29917e6i 0.460806 + 0.460806i
\(716\) 6.56949e6 + 6.45737e6i 0.478905 + 0.470731i
\(717\) −1.41102e6 + 1.41102e6i −0.102502 + 0.102502i
\(718\) −1.39269e7 + 1.40473e7i −1.00819 + 1.01691i
\(719\) 1.18229e6 0.0852909 0.0426454 0.999090i \(-0.486421\pi\)
0.0426454 + 0.999090i \(0.486421\pi\)
\(720\) −587474. + 608056.i −0.0422335 + 0.0437131i
\(721\) −1.18210e6 −0.0846867
\(722\) 6.44495e6 6.50066e6i 0.460126 0.464103i
\(723\) 3.30109e6 3.30109e6i 0.234861 0.234861i
\(724\) −1.68384e7 + 1.71308e7i −1.19386 + 1.21459i
\(725\) 2.80159e6 + 2.80159e6i 0.197952 + 0.197952i
\(726\) 22104.0 + 5.13630e6i 0.00155643 + 0.361667i
\(727\) 2.63581e7i 1.84960i 0.380451 + 0.924801i \(0.375769\pi\)
−0.380451 + 0.924801i \(0.624231\pi\)
\(728\) −2.20417e7 + 284584.i −1.54141 + 0.0199013i
\(729\) 1.57330e7i 1.09646i
\(730\) −4.59666e6 + 19781.7i −0.319253 + 0.00137390i
\(731\) 71622.3 + 71622.3i 0.00495741 + 0.00495741i
\(732\) −1.81373e7 + 156111.i −1.25111 + 0.0107685i
\(733\) 9.55283e6 9.55283e6i 0.656708 0.656708i −0.297892 0.954600i \(-0.596283\pi\)
0.954600 + 0.297892i \(0.0962835\pi\)
\(734\) 1.05286e7 + 1.04383e7i 0.721322 + 0.715140i
\(735\) −1.92588e6 −0.131495
\(736\) −1.28291e7 + 1.33934e7i −0.872974 + 0.911375i
\(737\) −4.62968e6 −0.313966
\(738\) 1.59274e6 + 1.57909e6i 0.107647 + 0.106725i
\(739\) 5.06534e6 5.06534e6i 0.341191 0.341191i −0.515624 0.856815i \(-0.672440\pi\)
0.856815 + 0.515624i \(0.172440\pi\)
\(740\) −5.47856e6 + 47154.8i −0.367779 + 0.00316553i
\(741\) 1.07811e7 + 1.07811e7i 0.721304 + 0.721304i
\(742\) 1.16174e7 49995.4i 0.774638 0.00333365i
\(743\) 6.79201e6i 0.451364i −0.974201 0.225682i \(-0.927539\pi\)
0.974201 0.225682i \(-0.0724610\pi\)
\(744\) −180089. 1.39484e7i −0.0119277 0.923828i
\(745\) 9.55045e6i 0.630424i
\(746\) −96108.2 2.23326e7i −0.00632286 1.46924i
\(747\) 1.35972e6 + 1.35972e6i 0.0891557 + 0.0891557i
\(748\) −2.56802e6 + 2.61262e6i −0.167821 + 0.170735i
\(749\) 5.62767e6 5.62767e6i 0.366543 0.366543i
\(750\) −901747. + 909542.i −0.0585371 + 0.0590431i
\(751\) −1.64280e7 −1.06288 −0.531440 0.847096i \(-0.678349\pi\)
−0.531440 + 0.847096i \(0.678349\pi\)
\(752\) 2.85813e7 492045.i 1.84305 0.0317292i
\(753\) 1.22704e7 0.788629
\(754\) 2.86818e7 2.89297e7i 1.83729 1.85317i
\(755\) −6.19348e6 + 6.19348e6i −0.395428 + 0.395428i
\(756\) −9.78471e6 9.61771e6i −0.622650 0.612022i
\(757\) 1.46559e7 + 1.46559e7i 0.929551 + 0.929551i 0.997677 0.0681256i \(-0.0217019\pi\)
−0.0681256 + 0.997677i \(0.521702\pi\)
\(758\) 15897.0 + 3.69397e6i 0.00100494 + 0.233518i
\(759\) 1.45526e7i 0.916933i
\(760\) −2.92539e6 + 3.00192e6i −0.183717 + 0.188523i
\(761\) 1.02339e7i 0.640590i −0.947318 0.320295i \(-0.896218\pi\)
0.947318 0.320295i \(-0.103782\pi\)
\(762\) 2.03942e7 87766.2i 1.27238 0.00547570i