Properties

Label 80.6.q.a.29.9
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.9
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.15884 + 2.32087i) q^{2} +(-9.83803 + 9.83803i) q^{3} +(21.2272 - 23.9459i) q^{4} +(46.4875 - 31.0470i) q^{5} +(27.9200 - 73.5856i) q^{6} -45.7194 q^{7} +(-53.9321 + 172.799i) q^{8} +49.4262i q^{9} +O(q^{10})\) \(q+(-5.15884 + 2.32087i) q^{2} +(-9.83803 + 9.83803i) q^{3} +(21.2272 - 23.9459i) q^{4} +(46.4875 - 31.0470i) q^{5} +(27.9200 - 73.5856i) q^{6} -45.7194 q^{7} +(-53.9321 + 172.799i) q^{8} +49.4262i q^{9} +(-167.765 + 268.057i) q^{10} +(-266.663 + 266.663i) q^{11} +(26.7474 + 444.414i) q^{12} +(-19.5826 + 19.5826i) q^{13} +(235.859 - 106.109i) q^{14} +(-151.904 + 762.787i) q^{15} +(-122.815 - 1016.61i) q^{16} -891.207i q^{17} +(-114.712 - 254.982i) q^{18} +(-334.228 - 334.228i) q^{19} +(243.348 - 1772.23i) q^{20} +(449.789 - 449.789i) q^{21} +(756.782 - 1994.56i) q^{22} -1574.39 q^{23} +(-1169.41 - 2230.58i) q^{24} +(1197.17 - 2886.59i) q^{25} +(55.5749 - 146.472i) q^{26} +(-2876.90 - 2876.90i) q^{27} +(-970.493 + 1094.79i) q^{28} +(-116.945 - 116.945i) q^{29} +(-986.678 - 4287.64i) q^{30} -3236.11 q^{31} +(2993.00 + 4959.48i) q^{32} -5246.88i q^{33} +(2068.37 + 4597.59i) q^{34} +(-2125.38 + 1419.45i) q^{35} +(1183.56 + 1049.18i) q^{36} +(-3959.03 - 3959.03i) q^{37} +(2499.92 + 948.528i) q^{38} -385.309i q^{39} +(2857.70 + 9707.40i) q^{40} -9816.22i q^{41} +(-1276.49 + 3364.29i) q^{42} +(-10555.6 - 10555.6i) q^{43} +(724.996 + 12046.0i) q^{44} +(1534.53 + 2297.70i) q^{45} +(8122.00 - 3653.94i) q^{46} -3833.55i q^{47} +(11209.7 + 8793.17i) q^{48} -14716.7 q^{49} +(523.392 + 17669.9i) q^{50} +(8767.72 + 8767.72i) q^{51} +(53.2407 + 884.608i) q^{52} +(-9373.35 - 9373.35i) q^{53} +(21518.3 + 8164.55i) q^{54} +(-4117.41 + 20675.6i) q^{55} +(2465.74 - 7900.24i) q^{56} +6576.28 q^{57} +(874.715 + 331.887i) q^{58} +(-56.0853 + 56.0853i) q^{59} +(15041.1 + 19829.3i) q^{60} +(20778.0 + 20778.0i) q^{61} +(16694.6 - 7510.59i) q^{62} -2259.73i q^{63} +(-26950.7 - 18638.8i) q^{64} +(-302.365 + 1518.33i) q^{65} +(12177.3 + 27067.8i) q^{66} +(5444.53 - 5444.53i) q^{67} +(-21340.8 - 18917.8i) q^{68} +(15488.9 - 15488.9i) q^{69} +(7670.13 - 12255.4i) q^{70} +80893.1i q^{71} +(-8540.77 - 2665.66i) q^{72} -71776.0 q^{73} +(29612.3 + 11235.6i) q^{74} +(16620.6 + 40176.2i) q^{75} +(-15098.1 + 908.688i) q^{76} +(12191.7 - 12191.7i) q^{77} +(894.251 + 1987.75i) q^{78} -93830.6 q^{79} +(-37272.0 - 43446.5i) q^{80} +44595.5 q^{81} +(22782.1 + 50640.3i) q^{82} +(59342.1 - 59342.1i) q^{83} +(-1222.87 - 20318.4i) q^{84} +(-27669.3 - 41429.9i) q^{85} +(78953.0 + 29956.6i) q^{86} +2301.02 q^{87} +(-31697.3 - 60460.7i) q^{88} -131863. i q^{89} +(-13249.1 - 8292.00i) q^{90} +(895.306 - 895.306i) q^{91} +(-33419.8 + 37700.2i) q^{92} +(31837.0 - 31837.0i) q^{93} +(8897.16 + 19776.7i) q^{94} +(-25914.2 - 5160.64i) q^{95} +(-78236.7 - 19346.3i) q^{96} +74340.6i q^{97} +(75921.2 - 34155.6i) q^{98} +(-13180.2 - 13180.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.15884 + 2.32087i −0.911962 + 0.410275i
\(3\) −9.83803 + 9.83803i −0.631110 + 0.631110i −0.948347 0.317236i \(-0.897245\pi\)
0.317236 + 0.948347i \(0.397245\pi\)
\(4\) 21.2272 23.9459i 0.663349 0.748310i
\(5\) 46.4875 31.0470i 0.831593 0.555385i
\(6\) 27.9200 73.5856i 0.316620 0.834477i
\(7\) −45.7194 −0.352659 −0.176330 0.984331i \(-0.556422\pi\)
−0.176330 + 0.984331i \(0.556422\pi\)
\(8\) −53.9321 + 172.799i −0.297936 + 0.954586i
\(9\) 49.4262i 0.203400i
\(10\) −167.765 + 268.057i −0.530520 + 0.847672i
\(11\) −266.663 + 266.663i −0.664479 + 0.664479i −0.956433 0.291953i \(-0.905695\pi\)
0.291953 + 0.956433i \(0.405695\pi\)
\(12\) 26.7474 + 444.414i 0.0536201 + 0.890912i
\(13\) −19.5826 + 19.5826i −0.0321375 + 0.0321375i −0.722993 0.690855i \(-0.757234\pi\)
0.690855 + 0.722993i \(0.257234\pi\)
\(14\) 235.859 106.109i 0.321612 0.144687i
\(15\) −151.904 + 762.787i −0.174318 + 0.875336i
\(16\) −122.815 1016.61i −0.119937 0.992782i
\(17\) 891.207i 0.747922i −0.927444 0.373961i \(-0.877999\pi\)
0.927444 0.373961i \(-0.122001\pi\)
\(18\) −114.712 254.982i −0.0834499 0.185493i
\(19\) −334.228 334.228i −0.212402 0.212402i 0.592885 0.805287i \(-0.297989\pi\)
−0.805287 + 0.592885i \(0.797989\pi\)
\(20\) 243.348 1772.23i 0.136036 0.990704i
\(21\) 449.789 449.789i 0.222567 0.222567i
\(22\) 756.782 1994.56i 0.333361 0.878599i
\(23\) −1574.39 −0.620572 −0.310286 0.950643i \(-0.600425\pi\)
−0.310286 + 0.950643i \(0.600425\pi\)
\(24\) −1169.41 2230.58i −0.414419 0.790479i
\(25\) 1197.17 2886.59i 0.383094 0.923709i
\(26\) 55.5749 146.472i 0.0161230 0.0424934i
\(27\) −2876.90 2876.90i −0.759478 0.759478i
\(28\) −970.493 + 1094.79i −0.233936 + 0.263899i
\(29\) −116.945 116.945i −0.0258219 0.0258219i 0.694078 0.719900i \(-0.255812\pi\)
−0.719900 + 0.694078i \(0.755812\pi\)
\(30\) −986.678 4287.64i −0.200158 0.869791i
\(31\) −3236.11 −0.604811 −0.302405 0.953179i \(-0.597790\pi\)
−0.302405 + 0.953179i \(0.597790\pi\)
\(32\) 2993.00 + 4959.48i 0.516691 + 0.856172i
\(33\) 5246.88i 0.838719i
\(34\) 2068.37 + 4597.59i 0.306854 + 0.682076i
\(35\) −2125.38 + 1419.45i −0.293269 + 0.195862i
\(36\) 1183.56 + 1049.18i 0.152206 + 0.134925i
\(37\) −3959.03 3959.03i −0.475427 0.475427i 0.428238 0.903666i \(-0.359134\pi\)
−0.903666 + 0.428238i \(0.859134\pi\)
\(38\) 2499.92 + 948.528i 0.280846 + 0.106559i
\(39\) 385.309i 0.0405647i
\(40\) 2857.70 + 9707.40i 0.282402 + 0.959296i
\(41\) 9816.22i 0.911979i −0.889985 0.455989i \(-0.849285\pi\)
0.889985 0.455989i \(-0.150715\pi\)
\(42\) −1276.49 + 3364.29i −0.111659 + 0.294286i
\(43\) −10555.6 10555.6i −0.870589 0.870589i 0.121948 0.992537i \(-0.461086\pi\)
−0.992537 + 0.121948i \(0.961086\pi\)
\(44\) 724.996 + 12046.0i 0.0564552 + 0.938018i
\(45\) 1534.53 + 2297.70i 0.112965 + 0.169146i
\(46\) 8122.00 3653.94i 0.565938 0.254605i
\(47\) 3833.55i 0.253138i −0.991958 0.126569i \(-0.959604\pi\)
0.991958 0.126569i \(-0.0403965\pi\)
\(48\) 11209.7 + 8793.17i 0.702248 + 0.550861i
\(49\) −14716.7 −0.875631
\(50\) 523.392 + 17669.9i 0.0296075 + 0.999562i
\(51\) 8767.72 + 8767.72i 0.472021 + 0.472021i
\(52\) 53.2407 + 884.608i 0.00273046 + 0.0453673i
\(53\) −9373.35 9373.35i −0.458358 0.458358i 0.439758 0.898116i \(-0.355064\pi\)
−0.898116 + 0.439758i \(0.855064\pi\)
\(54\) 21518.3 + 8164.55i 1.00421 + 0.381020i
\(55\) −4117.41 + 20675.6i −0.183534 + 0.921619i
\(56\) 2465.74 7900.24i 0.105070 0.336644i
\(57\) 6576.28 0.268098
\(58\) 874.715 + 331.887i 0.0341426 + 0.0129545i
\(59\) −56.0853 + 56.0853i −0.00209758 + 0.00209758i −0.708155 0.706057i \(-0.750472\pi\)
0.706057 + 0.708155i \(0.250472\pi\)
\(60\) 15041.1 + 19829.3i 0.539390 + 0.711097i
\(61\) 20778.0 + 20778.0i 0.714957 + 0.714957i 0.967568 0.252611i \(-0.0812892\pi\)
−0.252611 + 0.967568i \(0.581289\pi\)
\(62\) 16694.6 7510.59i 0.551565 0.248139i
\(63\) 2259.73i 0.0717309i
\(64\) −26950.7 18638.8i −0.822469 0.568810i
\(65\) −302.365 + 1518.33i −0.00887664 + 0.0445741i
\(66\) 12177.3 + 27067.8i 0.344106 + 0.764880i
\(67\) 5444.53 5444.53i 0.148174 0.148174i −0.629128 0.777302i \(-0.716588\pi\)
0.777302 + 0.629128i \(0.216588\pi\)
\(68\) −21340.8 18917.8i −0.559678 0.496133i
\(69\) 15488.9 15488.9i 0.391649 0.391649i
\(70\) 7670.13 12255.4i 0.187093 0.298939i
\(71\) 80893.1i 1.90443i 0.305425 + 0.952216i \(0.401201\pi\)
−0.305425 + 0.952216i \(0.598799\pi\)
\(72\) −8540.77 2665.66i −0.194163 0.0606001i
\(73\) −71776.0 −1.57642 −0.788211 0.615406i \(-0.788992\pi\)
−0.788211 + 0.615406i \(0.788992\pi\)
\(74\) 29612.3 + 11235.6i 0.628628 + 0.238516i
\(75\) 16620.6 + 40176.2i 0.341188 + 0.824737i
\(76\) −15098.1 + 908.688i −0.299839 + 0.0180460i
\(77\) 12191.7 12191.7i 0.234335 0.234335i
\(78\) 894.251 + 1987.75i 0.0166427 + 0.0369934i
\(79\) −93830.6 −1.69152 −0.845759 0.533564i \(-0.820852\pi\)
−0.845759 + 0.533564i \(0.820852\pi\)
\(80\) −37272.0 43446.5i −0.651115 0.758979i
\(81\) 44595.5 0.755228
\(82\) 22782.1 + 50640.3i 0.374162 + 0.831690i
\(83\) 59342.1 59342.1i 0.945514 0.945514i −0.0530764 0.998590i \(-0.516903\pi\)
0.998590 + 0.0530764i \(0.0169027\pi\)
\(84\) −1222.87 20318.4i −0.0189096 0.314188i
\(85\) −27669.3 41429.9i −0.415385 0.621967i
\(86\) 78953.0 + 29956.6i 1.15112 + 0.436763i
\(87\) 2301.02 0.0325929
\(88\) −31697.3 60460.7i −0.436331 0.832275i
\(89\) 131863.i 1.76461i −0.470675 0.882306i \(-0.655990\pi\)
0.470675 0.882306i \(-0.344010\pi\)
\(90\) −13249.1 8292.00i −0.172416 0.107908i
\(91\) 895.306 895.306i 0.0113336 0.0113336i
\(92\) −33419.8 + 37700.2i −0.411655 + 0.464380i
\(93\) 31837.0 31837.0i 0.381702 0.381702i
\(94\) 8897.16 + 19776.7i 0.103856 + 0.230852i
\(95\) −25914.2 5160.64i −0.294597 0.0586670i
\(96\) −78236.7 19346.3i −0.866428 0.214250i
\(97\) 74340.6i 0.802226i 0.916028 + 0.401113i \(0.131377\pi\)
−0.916028 + 0.401113i \(0.868623\pi\)
\(98\) 75921.2 34155.6i 0.798542 0.359250i
\(99\) −13180.2 13180.2i −0.135155 0.135155i
\(100\) −43709.6 89941.5i −0.437096 0.899415i
\(101\) 95511.7 95511.7i 0.931650 0.931650i −0.0661588 0.997809i \(-0.521074\pi\)
0.997809 + 0.0661588i \(0.0210744\pi\)
\(102\) −65579.9 24882.5i −0.624124 0.236807i
\(103\) −55919.1 −0.519358 −0.259679 0.965695i \(-0.583617\pi\)
−0.259679 + 0.965695i \(0.583617\pi\)
\(104\) −2327.72 4439.98i −0.0211031 0.0402530i
\(105\) 6944.96 34874.1i 0.0614747 0.308695i
\(106\) 70109.9 + 26601.3i 0.606058 + 0.229952i
\(107\) 131751. + 131751.i 1.11249 + 1.11249i 0.992813 + 0.119675i \(0.0381851\pi\)
0.119675 + 0.992813i \(0.461815\pi\)
\(108\) −129958. + 7821.63i −1.07212 + 0.0645264i
\(109\) −89988.4 89988.4i −0.725471 0.725471i 0.244243 0.969714i \(-0.421461\pi\)
−0.969714 + 0.244243i \(0.921461\pi\)
\(110\) −26744.2 116218.i −0.210741 0.915781i
\(111\) 77898.1 0.600094
\(112\) 5615.04 + 46478.7i 0.0422968 + 0.350114i
\(113\) 236003.i 1.73869i 0.494209 + 0.869343i \(0.335458\pi\)
−0.494209 + 0.869343i \(0.664542\pi\)
\(114\) −33926.0 + 15262.7i −0.244495 + 0.109994i
\(115\) −73189.3 + 48880.0i −0.516063 + 0.344656i
\(116\) −5282.78 + 317.947i −0.0364517 + 0.00219387i
\(117\) −967.895 967.895i −0.00653678 0.00653678i
\(118\) 159.168 419.501i 0.00105233 0.00277350i
\(119\) 40745.4i 0.263761i
\(120\) −123616. 67387.5i −0.783648 0.427195i
\(121\) 18832.4i 0.116934i
\(122\) −155414. 58967.4i −0.945343 0.358685i
\(123\) 96572.3 + 96572.3i 0.575559 + 0.575559i
\(124\) −68693.5 + 77491.8i −0.401201 + 0.452586i
\(125\) −33966.6 171359.i −0.194436 0.980915i
\(126\) 5244.54 + 11657.6i 0.0294294 + 0.0654158i
\(127\) 99662.0i 0.548303i 0.961687 + 0.274151i \(0.0883969\pi\)
−0.961687 + 0.274151i \(0.911603\pi\)
\(128\) 182292. + 33605.5i 0.983429 + 0.181295i
\(129\) 207693. 1.09887
\(130\) −1963.98 8534.56i −0.0101925 0.0442917i
\(131\) 91528.2 + 91528.2i 0.465990 + 0.465990i 0.900613 0.434623i \(-0.143118\pi\)
−0.434623 + 0.900613i \(0.643118\pi\)
\(132\) −125642. 111376.i −0.627622 0.556363i
\(133\) 15280.7 + 15280.7i 0.0749055 + 0.0749055i
\(134\) −15451.4 + 40723.4i −0.0743371 + 0.195922i
\(135\) −223059. 44420.7i −1.05338 0.209774i
\(136\) 153999. + 48064.7i 0.713956 + 0.222833i
\(137\) 229311. 1.04381 0.521907 0.853003i \(-0.325221\pi\)
0.521907 + 0.853003i \(0.325221\pi\)
\(138\) −43956.9 + 115852.i −0.196485 + 0.517853i
\(139\) −159785. + 159785.i −0.701452 + 0.701452i −0.964722 0.263270i \(-0.915199\pi\)
0.263270 + 0.964722i \(0.415199\pi\)
\(140\) −11125.7 + 81025.0i −0.0479742 + 0.349381i
\(141\) 37714.6 + 37714.6i 0.159758 + 0.159758i
\(142\) −187742. 417314.i −0.781341 1.73677i
\(143\) 10443.9i 0.0427095i
\(144\) 50247.1 6070.29i 0.201932 0.0243951i
\(145\) −9067.29 1805.69i −0.0358144 0.00713220i
\(146\) 370281. 166583.i 1.43764 0.646766i
\(147\) 144784. 144784.i 0.552620 0.552620i
\(148\) −178842. + 10763.7i −0.671142 + 0.0403931i
\(149\) −101218. + 101218.i −0.373503 + 0.373503i −0.868751 0.495249i \(-0.835077\pi\)
0.495249 + 0.868751i \(0.335077\pi\)
\(150\) −178986. 168688.i −0.649519 0.612148i
\(151\) 225432.i 0.804587i 0.915511 + 0.402293i \(0.131787\pi\)
−0.915511 + 0.402293i \(0.868213\pi\)
\(152\) 75779.6 39728.4i 0.266038 0.139474i
\(153\) 44049.0 0.152127
\(154\) −34599.6 + 91190.1i −0.117563 + 0.309846i
\(155\) −150439. + 100472.i −0.502957 + 0.335903i
\(156\) −9226.59 8179.02i −0.0303550 0.0269085i
\(157\) 305972. 305972.i 0.990680 0.990680i −0.00927741 0.999957i \(-0.502953\pi\)
0.999957 + 0.00927741i \(0.00295313\pi\)
\(158\) 484057. 217768.i 1.54260 0.693988i
\(159\) 184431. 0.578549
\(160\) 293114. + 137630.i 0.905182 + 0.425024i
\(161\) 71980.0 0.218850
\(162\) −230061. + 103500.i −0.688740 + 0.309851i
\(163\) 245413. 245413.i 0.723483 0.723483i −0.245830 0.969313i \(-0.579060\pi\)
0.969313 + 0.245830i \(0.0790604\pi\)
\(164\) −235059. 208371.i −0.682443 0.604960i
\(165\) −162900. 243914.i −0.465812 0.697473i
\(166\) −168411. + 443862.i −0.474352 + 1.25019i
\(167\) −166169. −0.461060 −0.230530 0.973065i \(-0.574046\pi\)
−0.230530 + 0.973065i \(0.574046\pi\)
\(168\) 53464.8 + 101981.i 0.146149 + 0.278770i
\(169\) 370526.i 0.997934i
\(170\) 238895. + 149514.i 0.633992 + 0.396788i
\(171\) 16519.6 16519.6i 0.0432025 0.0432025i
\(172\) −476830. + 28698.3i −1.22897 + 0.0739666i
\(173\) −228911. + 228911.i −0.581503 + 0.581503i −0.935316 0.353813i \(-0.884885\pi\)
0.353813 + 0.935316i \(0.384885\pi\)
\(174\) −11870.6 + 5340.36i −0.0297235 + 0.0133720i
\(175\) −54733.9 + 131973.i −0.135102 + 0.325755i
\(176\) 303842. + 238342.i 0.739378 + 0.579987i
\(177\) 1103.54i 0.00264761i
\(178\) 306037. + 680262.i 0.723977 + 1.60926i
\(179\) −81510.8 81510.8i −0.190144 0.190144i 0.605614 0.795758i \(-0.292927\pi\)
−0.795758 + 0.605614i \(0.792927\pi\)
\(180\) 87594.3 + 12027.8i 0.201509 + 0.0276697i
\(181\) −18567.7 + 18567.7i −0.0421272 + 0.0421272i −0.727857 0.685729i \(-0.759483\pi\)
0.685729 + 0.727857i \(0.259483\pi\)
\(182\) −2540.85 + 6696.62i −0.00568592 + 0.0149857i
\(183\) −408830. −0.902434
\(184\) 84910.0 272052.i 0.184890 0.592389i
\(185\) −306961. 61129.3i −0.659408 0.131317i
\(186\) −90352.4 + 238131.i −0.191495 + 0.504701i
\(187\) 237652. + 237652.i 0.496979 + 0.496979i
\(188\) −91798.0 81375.5i −0.189426 0.167919i
\(189\) 131530. + 131530.i 0.267837 + 0.267837i
\(190\) 145664. 33520.4i 0.292731 0.0673636i
\(191\) 219256. 0.434878 0.217439 0.976074i \(-0.430230\pi\)
0.217439 + 0.976074i \(0.430230\pi\)
\(192\) 448510. 81772.5i 0.878050 0.160086i
\(193\) 777534.i 1.50254i 0.659995 + 0.751270i \(0.270559\pi\)
−0.659995 + 0.751270i \(0.729441\pi\)
\(194\) −172535. 383511.i −0.329133 0.731600i
\(195\) −11962.7 17912.0i −0.0225290 0.0337333i
\(196\) −312395. + 352406.i −0.580849 + 0.655244i
\(197\) −278563. 278563.i −0.511396 0.511396i 0.403558 0.914954i \(-0.367773\pi\)
−0.914954 + 0.403558i \(0.867773\pi\)
\(198\) 98583.6 + 37404.9i 0.178707 + 0.0678055i
\(199\) 746807.i 1.33683i −0.743789 0.668414i \(-0.766973\pi\)
0.743789 0.668414i \(-0.233027\pi\)
\(200\) 434233. + 362549.i 0.767622 + 0.640902i
\(201\) 107127.i 0.187029i
\(202\) −271059. + 714399.i −0.467397 + 1.23186i
\(203\) 5346.66 + 5346.66i 0.00910632 + 0.00910632i
\(204\) 396065. 23837.4i 0.666333 0.0401036i
\(205\) −304764. 456331.i −0.506500 0.758395i
\(206\) 288477. 129781.i 0.473635 0.213080i
\(207\) 77815.9i 0.126224i
\(208\) 22312.9 + 17502.8i 0.0357600 + 0.0280511i
\(209\) 178252. 0.282273
\(210\) 45110.3 + 196028.i 0.0705874 + 0.306740i
\(211\) −549963. 549963.i −0.850408 0.850408i 0.139775 0.990183i \(-0.455362\pi\)
−0.990183 + 0.139775i \(0.955362\pi\)
\(212\) −423423. + 25484.0i −0.647046 + 0.0389429i
\(213\) −795829. 795829.i −1.20191 1.20191i
\(214\) −985460. 373906.i −1.47097 0.558120i
\(215\) −818425. 162984.i −1.20749 0.240463i
\(216\) 652281. 341967.i 0.951263 0.498711i
\(217\) 147953. 0.213292
\(218\) 673086. + 255384.i 0.959245 + 0.363959i
\(219\) 706135. 706135.i 0.994895 0.994895i
\(220\) 407695. + 537479.i 0.567909 + 0.748695i
\(221\) 17452.2 + 17452.2i 0.0240364 + 0.0240364i
\(222\) −401863. + 180791.i −0.547263 + 0.246204i
\(223\) 1.19027e6i 1.60282i −0.598118 0.801408i \(-0.704085\pi\)
0.598118 0.801408i \(-0.295915\pi\)
\(224\) −136838. 226744.i −0.182216 0.301937i
\(225\) 142673. + 59171.5i 0.187882 + 0.0779214i
\(226\) −547731. 1.21750e6i −0.713339 1.58562i
\(227\) 635906. 635906.i 0.819083 0.819083i −0.166892 0.985975i \(-0.553373\pi\)
0.985975 + 0.166892i \(0.0533730\pi\)
\(228\) 139596. 157475.i 0.177842 0.200620i
\(229\) −795777. + 795777.i −1.00277 + 1.00277i −0.00277711 + 0.999996i \(0.500884\pi\)
−0.999996 + 0.00277711i \(0.999116\pi\)
\(230\) 264127. 422026.i 0.329226 0.526041i
\(231\) 239884.i 0.295782i
\(232\) 26515.1 13900.9i 0.0323424 0.0169559i
\(233\) −531116. −0.640914 −0.320457 0.947263i \(-0.603836\pi\)
−0.320457 + 0.947263i \(0.603836\pi\)
\(234\) 7239.57 + 2746.86i 0.00864317 + 0.00327941i
\(235\) −119020. 178212.i −0.140589 0.210508i
\(236\) 152.483 + 2533.55i 0.000178214 + 0.00296107i
\(237\) 923109. 923109.i 1.06753 1.06753i
\(238\) −94564.7 210199.i −0.108215 0.240540i
\(239\) −349145. −0.395377 −0.197689 0.980265i \(-0.563343\pi\)
−0.197689 + 0.980265i \(0.563343\pi\)
\(240\) 794111. + 60745.0i 0.889925 + 0.0680742i
\(241\) −1.36778e6 −1.51696 −0.758480 0.651697i \(-0.774057\pi\)
−0.758480 + 0.651697i \(0.774057\pi\)
\(242\) −43707.5 97153.2i −0.0479753 0.106640i
\(243\) 260354. 260354.i 0.282846 0.282846i
\(244\) 938609. 56490.7i 1.00928 0.0607439i
\(245\) −684144. + 456910.i −0.728169 + 0.486313i
\(246\) −722332. 274069.i −0.761025 0.288750i
\(247\) 13090.1 0.0136521
\(248\) 174531. 559196.i 0.180195 0.577344i
\(249\) 1.16762e6i 1.19345i
\(250\) 572929. + 805180.i 0.579763 + 0.814785i
\(251\) 1.17804e6 1.17804e6i 1.18025 1.18025i 0.200572 0.979679i \(-0.435720\pi\)
0.979679 0.200572i \(-0.0642800\pi\)
\(252\) −54111.5 47967.8i −0.0536770 0.0475826i
\(253\) 419831. 419831.i 0.412357 0.412357i
\(254\) −231302. 514140.i −0.224955 0.500031i
\(255\) 679800. + 135378.i 0.654683 + 0.130376i
\(256\) −1.01841e6 + 249710.i −0.971230 + 0.238142i
\(257\) 1.84699e6i 1.74434i 0.489204 + 0.872170i \(0.337287\pi\)
−0.489204 + 0.872170i \(0.662713\pi\)
\(258\) −1.07146e6 + 482028.i −1.00213 + 0.450841i
\(259\) 181004. + 181004.i 0.167664 + 0.167664i
\(260\) 29939.4 + 39470.2i 0.0274669 + 0.0362106i
\(261\) 5780.16 5780.16i 0.00525217 0.00525217i
\(262\) −684603. 259754.i −0.616149 0.233781i
\(263\) −1.91938e6 −1.71109 −0.855543 0.517732i \(-0.826776\pi\)
−0.855543 + 0.517732i \(0.826776\pi\)
\(264\) 906654. + 282976.i 0.800630 + 0.249884i
\(265\) −726758. 144729.i −0.635733 0.126602i
\(266\) −114295. 43366.1i −0.0990428 0.0375791i
\(267\) 1.29728e6 + 1.29728e6i 1.11367 + 1.11367i
\(268\) −14802.4 245946.i −0.0125891 0.209172i
\(269\) 918645. + 918645.i 0.774046 + 0.774046i 0.978811 0.204765i \(-0.0656429\pi\)
−0.204765 + 0.978811i \(0.565643\pi\)
\(270\) 1.25382e6 288530.i 1.04671 0.240870i
\(271\) −879383. −0.727369 −0.363685 0.931522i \(-0.618481\pi\)
−0.363685 + 0.931522i \(0.618481\pi\)
\(272\) −906008. + 109454.i −0.742523 + 0.0897033i
\(273\) 17616.1i 0.0143055i
\(274\) −1.18298e6 + 532199.i −0.951918 + 0.428251i
\(275\) 450507. + 1.08899e6i 0.359227 + 0.868344i
\(276\) −42110.7 699680.i −0.0332751 0.552875i
\(277\) 1.51409e6 + 1.51409e6i 1.18564 + 1.18564i 0.978261 + 0.207378i \(0.0664931\pi\)
0.207378 + 0.978261i \(0.433507\pi\)
\(278\) 453464. 1.19514e6i 0.351909 0.927486i
\(279\) 159949.i 0.123019i
\(280\) −130652. 443816.i −0.0995916 0.338305i
\(281\) 458222.i 0.346187i −0.984905 0.173093i \(-0.944624\pi\)
0.984905 0.173093i \(-0.0553763\pi\)
\(282\) −282094. 107033.i −0.211238 0.0801484i
\(283\) 56631.6 + 56631.6i 0.0420332 + 0.0420332i 0.727811 0.685778i \(-0.240538\pi\)
−0.685778 + 0.727811i \(0.740538\pi\)
\(284\) 1.93706e6 + 1.71713e6i 1.42511 + 1.26330i
\(285\) 305715. 204174.i 0.222948 0.148898i
\(286\) 24239.0 + 53878.6i 0.0175226 + 0.0389494i
\(287\) 448792.i 0.321618i
\(288\) −245128. + 147932.i −0.174145 + 0.105095i
\(289\) 625608. 0.440613
\(290\) 50967.4 11728.7i 0.0355875 0.00818945i
\(291\) −731366. 731366.i −0.506293 0.506293i
\(292\) −1.52360e6 + 1.71874e6i −1.04572 + 1.17965i
\(293\) −513676. 513676.i −0.349559 0.349559i 0.510386 0.859945i \(-0.329502\pi\)
−0.859945 + 0.510386i \(0.829502\pi\)
\(294\) −410892. + 1.08294e6i −0.277242 + 0.730694i
\(295\) −865.984 + 4348.54i −0.000579369 + 0.00290930i
\(296\) 897633. 470595.i 0.595483 0.312190i
\(297\) 1.53433e6 1.00931
\(298\) 287255. 757083.i 0.187381 0.493859i
\(299\) 30830.6 30830.6i 0.0199436 0.0199436i
\(300\) 1.31486e6 + 454831.i 0.843486 + 0.291774i
\(301\) 482597. + 482597.i 0.307021 + 0.307021i
\(302\) −523197. 1.16297e6i −0.330102 0.733752i
\(303\) 1.87929e6i 1.17595i
\(304\) −298730. + 380827.i −0.185394 + 0.236343i
\(305\) 1.61101e6 + 320823.i 0.991630 + 0.197477i
\(306\) −227241. + 102232.i −0.138734 + 0.0624140i
\(307\) −56934.5 + 56934.5i −0.0344770 + 0.0344770i −0.724135 0.689658i \(-0.757761\pi\)
0.689658 + 0.724135i \(0.257761\pi\)
\(308\) −33146.4 550736.i −0.0199095 0.330801i
\(309\) 550134. 550134.i 0.327772 0.327772i
\(310\) 542908. 867465.i 0.320865 0.512681i
\(311\) 2.10238e6i 1.23257i 0.787524 + 0.616284i \(0.211362\pi\)
−0.787524 + 0.616284i \(0.788638\pi\)
\(312\) 66580.9 + 20780.5i 0.0387225 + 0.0120857i
\(313\) 1.37805e6 0.795065 0.397533 0.917588i \(-0.369867\pi\)
0.397533 + 0.917588i \(0.369867\pi\)
\(314\) −868340. + 2.28858e6i −0.497011 + 1.30991i
\(315\) −70158.0 105049.i −0.0398383 0.0596509i
\(316\) −1.99176e6 + 2.24686e6i −1.12207 + 1.26578i
\(317\) 170609. 170609.i 0.0953574 0.0953574i −0.657819 0.753176i \(-0.728521\pi\)
0.753176 + 0.657819i \(0.228521\pi\)
\(318\) −951447. + 428039.i −0.527615 + 0.237364i
\(319\) 62370.0 0.0343162
\(320\) −1.83155e6 29733.3i −0.999868 0.0162319i
\(321\) −2.59235e6 −1.40420
\(322\) −371333. + 167056.i −0.199583 + 0.0897888i
\(323\) −297866. + 297866.i −0.158860 + 0.158860i
\(324\) 946636. 1.06788e6i 0.500980 0.565145i
\(325\) 33083.3 + 79970.8i 0.0173740 + 0.0419975i
\(326\) −696474. + 1.83562e6i −0.362962 + 0.956616i
\(327\) 1.77062e6 0.915705
\(328\) 1.69623e6 + 529410.i 0.870562 + 0.271711i
\(329\) 175268.i 0.0892714i
\(330\) 1.40647e6 + 880245.i 0.710959 + 0.444958i
\(331\) 5862.91 5862.91i 0.00294133 0.00294133i −0.705635 0.708576i \(-0.749338\pi\)
0.708576 + 0.705635i \(0.249338\pi\)
\(332\) −161338. 2.68067e6i −0.0803324 1.33474i
\(333\) 195680. 195680.i 0.0967019 0.0967019i
\(334\) 857237. 385655.i 0.420470 0.189162i
\(335\) 84066.1 422138.i 0.0409269 0.205515i
\(336\) −512500. 402018.i −0.247654 0.194266i
\(337\) 1.59074e6i 0.763001i −0.924369 0.381501i \(-0.875407\pi\)
0.924369 0.381501i \(-0.124593\pi\)
\(338\) −859941. 1.91148e6i −0.409428 0.910078i
\(339\) −2.32180e6 2.32180e6i −1.09730 1.09730i
\(340\) −1.57942e6 216873.i −0.740969 0.101744i
\(341\) 862953. 862953.i 0.401884 0.401884i
\(342\) −46882.1 + 123562.i −0.0216741 + 0.0571240i
\(343\) 1.44125e6 0.661459
\(344\) 2.39328e6 1.25471e6i 1.09043 0.571672i
\(345\) 239156. 1.20092e6i 0.108177 0.543209i
\(346\) 649643. 1.71219e6i 0.291732 0.768884i
\(347\) −960548. 960548.i −0.428248 0.428248i 0.459783 0.888031i \(-0.347927\pi\)
−0.888031 + 0.459783i \(0.847927\pi\)
\(348\) 48844.2 55100.1i 0.0216204 0.0243896i
\(349\) −22410.1 22410.1i −0.00984875 0.00984875i 0.702165 0.712014i \(-0.252217\pi\)
−0.712014 + 0.702165i \(0.752217\pi\)
\(350\) −23929.1 807858.i −0.0104414 0.352505i
\(351\) 112674. 0.0488155
\(352\) −2.12063e6 524388.i −0.912239 0.225578i
\(353\) 606408.i 0.259017i 0.991578 + 0.129508i \(0.0413399\pi\)
−0.991578 + 0.129508i \(0.958660\pi\)
\(354\) 2561.16 + 5692.97i 0.00108625 + 0.00241452i
\(355\) 2.51149e6 + 3.76051e6i 1.05769 + 1.58371i
\(356\) −3.15759e6 2.79909e6i −1.32048 1.17055i
\(357\) −400855. 400855.i −0.166463 0.166463i
\(358\) 609677. + 231325.i 0.251415 + 0.0953928i
\(359\) 3.78207e6i 1.54879i −0.632701 0.774396i \(-0.718054\pi\)
0.632701 0.774396i \(-0.281946\pi\)
\(360\) −479800. + 141245.i −0.195121 + 0.0574405i
\(361\) 2.25268e6i 0.909771i
\(362\) 52694.7 138881.i 0.0211347 0.0557021i
\(363\) −185274. 185274.i −0.0737985 0.0737985i
\(364\) −2434.13 40443.7i −0.000962921 0.0159992i
\(365\) −3.33669e6 + 2.22843e6i −1.31094 + 0.875521i
\(366\) 2.10909e6 948840.i 0.822985 0.370246i
\(367\) 1.70291e6i 0.659972i −0.943986 0.329986i \(-0.892956\pi\)
0.943986 0.329986i \(-0.107044\pi\)
\(368\) 193359. + 1.60053e6i 0.0744294 + 0.616092i
\(369\) 485179. 0.185496
\(370\) 1.72543e6 397060.i 0.655231 0.150783i
\(371\) 428544. + 428544.i 0.161644 + 0.161644i
\(372\) −86557.5 1.43818e6i −0.0324300 0.538834i
\(373\) 1.09224e6 + 1.09224e6i 0.406486 + 0.406486i 0.880511 0.474026i \(-0.157200\pi\)
−0.474026 + 0.880511i \(0.657200\pi\)
\(374\) −1.77757e6 674449.i −0.657123 0.249328i
\(375\) 2.02000e6 + 1.35167e6i 0.741776 + 0.496355i
\(376\) 662432. + 206752.i 0.241642 + 0.0754188i
\(377\) 4580.19 0.00165970
\(378\) −983805. 373278.i −0.354144 0.134370i
\(379\) −183853. + 183853.i −0.0657464 + 0.0657464i −0.739215 0.673469i \(-0.764803\pi\)
0.673469 + 0.739215i \(0.264803\pi\)
\(380\) −673660. + 510993.i −0.239322 + 0.181533i
\(381\) −980478. 980478.i −0.346039 0.346039i
\(382\) −1.13110e6 + 508864.i −0.396593 + 0.178420i
\(383\) 4.47493e6i 1.55880i 0.626528 + 0.779399i \(0.284475\pi\)
−0.626528 + 0.779399i \(0.715525\pi\)
\(384\) −2.12401e6 + 1.46278e6i −0.735069 + 0.506235i
\(385\) 188245. 945275.i 0.0647251 0.325017i
\(386\) −1.80455e6 4.01117e6i −0.616455 1.37026i
\(387\) 521725. 521725.i 0.177078 0.177078i
\(388\) 1.78016e6 + 1.57804e6i 0.600314 + 0.532156i
\(389\) −1.18500e6 + 1.18500e6i −0.397048 + 0.397048i −0.877191 0.480142i \(-0.840585\pi\)
0.480142 + 0.877191i \(0.340585\pi\)
\(390\) 103285. + 64641.5i 0.0343855 + 0.0215204i
\(391\) 1.40310e6i 0.464139i
\(392\) 793705. 2.54303e6i 0.260882 0.835865i
\(393\) −1.80091e6 −0.588182
\(394\) 2.08357e6 + 790553.i 0.676187 + 0.256561i
\(395\) −4.36195e6 + 2.91316e6i −1.40666 + 0.939445i
\(396\) −595388. + 35833.8i −0.190793 + 0.0114830i
\(397\) −3.27272e6 + 3.27272e6i −1.04216 + 1.04216i −0.0430842 + 0.999071i \(0.513718\pi\)
−0.999071 + 0.0430842i \(0.986282\pi\)
\(398\) 1.73324e6 + 3.85266e6i 0.548468 + 1.21914i
\(399\) −300664. −0.0945472
\(400\) −3.08156e6 862535.i −0.962989 0.269542i
\(401\) 803284. 0.249464 0.124732 0.992190i \(-0.460193\pi\)
0.124732 + 0.992190i \(0.460193\pi\)
\(402\) −248627. 552650.i −0.0767332 0.170563i
\(403\) 63371.6 63371.6i 0.0194371 0.0194371i
\(404\) −259674. 4.31456e6i −0.0791545 1.31517i
\(405\) 2.07313e6 1.38456e6i 0.628043 0.419443i
\(406\) −39991.5 15173.7i −0.0120407 0.00456852i
\(407\) 2.11145e6 0.631823
\(408\) −1.98791e6 + 1.04219e6i −0.591217 + 0.309953i
\(409\) 2.41122e6i 0.712737i 0.934345 + 0.356369i \(0.115985\pi\)
−0.934345 + 0.356369i \(0.884015\pi\)
\(410\) 2.63131e6 + 1.64682e6i 0.773059 + 0.483823i
\(411\) −2.25597e6 + 2.25597e6i −0.658761 + 0.658761i
\(412\) −1.18700e6 + 1.33903e6i −0.344516 + 0.388641i
\(413\) 2564.19 2564.19i 0.000739732 0.000739732i
\(414\) 180600. + 401440.i 0.0517867 + 0.115112i
\(415\) 916271. 4.60106e6i 0.261158 1.31141i
\(416\) −155730. 38508.9i −0.0441204 0.0109101i
\(417\) 3.14393e6i 0.885387i
\(418\) −919575. + 413700.i −0.257422 + 0.115810i
\(419\) −1.82178e6 1.82178e6i −0.506944 0.506944i 0.406643 0.913587i \(-0.366699\pi\)
−0.913587 + 0.406643i \(0.866699\pi\)
\(420\) −687672. 906582.i −0.190221 0.250775i
\(421\) 3.37333e6 3.37333e6i 0.927584 0.927584i −0.0699650 0.997549i \(-0.522289\pi\)
0.997549 + 0.0699650i \(0.0222888\pi\)
\(422\) 4.11356e6 + 1.56078e6i 1.12444 + 0.426639i
\(423\) 189478. 0.0514882
\(424\) 2.12523e6 1.11418e6i 0.574104 0.300981i
\(425\) −2.57255e6 1.06693e6i −0.690862 0.286525i
\(426\) 5.95256e6 + 2.25854e6i 1.58921 + 0.602981i
\(427\) −949959. 949959.i −0.252136 0.252136i
\(428\) 5.95161e6 358201.i 1.57045 0.0945187i
\(429\) 102748. + 102748.i 0.0269544 + 0.0269544i
\(430\) 4.60038e6 1.05865e6i 1.19984 0.276109i
\(431\) 215590. 0.0559031 0.0279515 0.999609i \(-0.491102\pi\)
0.0279515 + 0.999609i \(0.491102\pi\)
\(432\) −2.57135e6 + 3.27801e6i −0.662906 + 0.845085i
\(433\) 6.13899e6i 1.57354i −0.617247 0.786769i \(-0.711752\pi\)
0.617247 0.786769i \(-0.288248\pi\)
\(434\) −763266. + 343379.i −0.194514 + 0.0875085i
\(435\) 106969. 71439.8i 0.0271040 0.0181016i
\(436\) −4.06505e6 + 244658.i −1.02412 + 0.0616372i
\(437\) 526204. + 526204.i 0.131811 + 0.131811i
\(438\) −2.00399e6 + 5.28168e6i −0.499126 + 1.31549i
\(439\) 1.66663e6i 0.412742i −0.978474 0.206371i \(-0.933835\pi\)
0.978474 0.206371i \(-0.0661654\pi\)
\(440\) −3.35065e6 1.82656e6i −0.825083 0.449782i
\(441\) 727392.i 0.178103i
\(442\) −130537. 49528.7i −0.0317818 0.0120587i
\(443\) −1.11577e6 1.11577e6i −0.270125 0.270125i 0.559025 0.829150i \(-0.311175\pi\)
−0.829150 + 0.559025i \(0.811175\pi\)
\(444\) 1.65356e6 1.86534e6i 0.398072 0.449057i
\(445\) −4.09396e6 6.13000e6i −0.980040 1.46744i
\(446\) 2.76246e6 + 6.14041e6i 0.657595 + 1.46171i
\(447\) 1.99158e6i 0.471443i
\(448\) 1.23217e6 + 852154.i 0.290051 + 0.200596i
\(449\) 5.03585e6 1.17885 0.589423 0.807824i \(-0.299355\pi\)
0.589423 + 0.807824i \(0.299355\pi\)
\(450\) −873357. + 25869.3i −0.203311 + 0.00602217i
\(451\) 2.61763e6 + 2.61763e6i 0.605991 + 0.605991i
\(452\) 5.65131e6 + 5.00967e6i 1.30108 + 1.15336i
\(453\) −2.21781e6 2.21781e6i −0.507783 0.507783i
\(454\) −1.80468e6 + 4.75639e6i −0.410923 + 1.08302i
\(455\) 13824.0 69417.0i 0.00313043 0.0157195i
\(456\) −354673. + 1.13637e6i −0.0798759 + 0.255923i
\(457\) −6.06925e6 −1.35939 −0.679696 0.733494i \(-0.737888\pi\)
−0.679696 + 0.733494i \(0.737888\pi\)
\(458\) 2.25839e6 5.95218e6i 0.503078 1.32590i
\(459\) −2.56391e6 + 2.56391e6i −0.568030 + 0.568030i
\(460\) −383124. + 2.79017e6i −0.0844199 + 0.614803i
\(461\) 594321. + 594321.i 0.130247 + 0.130247i 0.769225 0.638978i \(-0.220642\pi\)
−0.638978 + 0.769225i \(0.720642\pi\)
\(462\) −556739. 1.23752e6i −0.121352 0.269742i
\(463\) 839214.i 0.181937i −0.995854 0.0909683i \(-0.971004\pi\)
0.995854 0.0909683i \(-0.0289962\pi\)
\(464\) −104525. + 133250.i −0.0225385 + 0.0287325i
\(465\) 491579. 2.46846e6i 0.105429 0.529413i
\(466\) 2.73994e6 1.23265e6i 0.584489 0.262951i
\(467\) −4.86900e6 + 4.86900e6i −1.03311 + 1.03311i −0.0336801 + 0.999433i \(0.510723\pi\)
−0.999433 + 0.0336801i \(0.989277\pi\)
\(468\) −43722.8 + 2631.48i −0.00922770 + 0.000555375i
\(469\) −248920. + 248920.i −0.0522551 + 0.0522551i
\(470\) 1.02761e6 + 643137.i 0.214578 + 0.134295i
\(471\) 6.02033e6i 1.25046i
\(472\) −6666.66 12716.3i −0.00137738 0.00262727i
\(473\) 5.62960e6 1.15698
\(474\) −2.61975e6 + 6.90458e6i −0.535568 + 1.41153i
\(475\) −1.36491e6 + 564651.i −0.277567 + 0.114828i
\(476\) 975687. + 864910.i 0.197375 + 0.174966i
\(477\) 463289. 463289.i 0.0932301 0.0932301i
\(478\) 1.80118e6 810320.i 0.360569 0.162213i
\(479\) −4.47829e6 −0.891812 −0.445906 0.895080i \(-0.647118\pi\)
−0.445906 + 0.895080i \(0.647118\pi\)
\(480\) −4.23767e6 + 1.52965e6i −0.839506 + 0.303033i
\(481\) 155056. 0.0305581
\(482\) 7.05616e6 3.17444e6i 1.38341 0.622370i
\(483\) −708142. + 708142.i −0.138119 + 0.138119i
\(484\) 450959. + 399758.i 0.0875032 + 0.0775683i
\(485\) 2.30805e6 + 3.45591e6i 0.445545 + 0.667126i
\(486\) −738878. + 1.94737e6i −0.141900 + 0.373989i
\(487\) 2.53902e6 0.485114 0.242557 0.970137i \(-0.422014\pi\)
0.242557 + 0.970137i \(0.422014\pi\)
\(488\) −4.71102e6 + 2.46981e6i −0.895499 + 0.469477i
\(489\) 4.82876e6i 0.913195i
\(490\) 2.46896e6 3.94493e6i 0.464540 0.742248i
\(491\) −737732. + 737732.i −0.138100 + 0.138100i −0.772777 0.634677i \(-0.781133\pi\)
0.634677 + 0.772777i \(0.281133\pi\)
\(492\) 4.36247e6 262558.i 0.812493 0.0489004i
\(493\) −104222. + 104222.i −0.0193127 + 0.0193127i
\(494\) −67529.7 + 30380.4i −0.0124502 + 0.00560114i
\(495\) −1.02192e6 203508.i −0.187457 0.0373309i
\(496\) 397444. + 3.28986e6i 0.0725391 + 0.600445i
\(497\) 3.69838e6i 0.671616i
\(498\) −2.70989e6 6.02356e6i −0.489642 1.08838i
\(499\) 3.11917e6 + 3.11917e6i 0.560773 + 0.560773i 0.929527 0.368754i \(-0.120216\pi\)
−0.368754 + 0.929527i \(0.620216\pi\)
\(500\) −4.82436e6 2.82410e6i −0.863008 0.505190i
\(501\) 1.63477e6 1.63477e6i 0.290980 0.290980i
\(502\) −3.34323e6 + 8.81136e6i −0.592116 + 1.56057i
\(503\) −2.07775e6 −0.366162 −0.183081 0.983098i \(-0.558607\pi\)
−0.183081 + 0.983098i \(0.558607\pi\)
\(504\) 390479. + 121872.i 0.0684733 + 0.0213712i
\(505\) 1.47475e6 7.40544e6i 0.257329 1.29218i
\(506\) −1.19147e6 + 3.14021e6i −0.206874 + 0.545234i
\(507\) −3.64525e6 3.64525e6i −0.629806 0.629806i
\(508\) 2.38650e6 + 2.11554e6i 0.410301 + 0.363716i
\(509\) 6.88149e6 + 6.88149e6i 1.17730 + 1.17730i 0.980429 + 0.196874i \(0.0630791\pi\)
0.196874 + 0.980429i \(0.436921\pi\)
\(510\) −3.82117e6 + 879334.i −0.650536 + 0.149702i
\(511\) 3.28156e6 0.555939
\(512\) 4.67426e6 3.65180e6i 0.788021 0.615648i
\(513\) 1.92308e6i 0.322629i
\(514\) −4.28661e6 9.52830e6i −0.715659 1.59077i
\(515\) −2.59954e6 + 1.73612e6i −0.431895 + 0.288444i
\(516\) 4.40874e6 4.97341e6i 0.728937 0.822299i
\(517\) 1.02227e6 + 1.02227e6i 0.168205 + 0.168205i
\(518\) −1.35386e6 513685.i −0.221691 0.0841148i
\(519\) 4.50407e6i 0.733985i
\(520\) −246058. 134135.i −0.0399051 0.0217537i
\(521\) 1.13246e6i 0.182779i 0.995815 + 0.0913896i \(0.0291309\pi\)
−0.995815 + 0.0913896i \(0.970869\pi\)
\(522\) −16403.9 + 43233.9i −0.00263494 + 0.00694461i
\(523\) −514139. 514139.i −0.0821913 0.0821913i 0.664816 0.747007i \(-0.268510\pi\)
−0.747007 + 0.664816i \(0.768510\pi\)
\(524\) 4.13461e6 248844.i 0.657819 0.0395912i
\(525\) −759883. 1.83683e6i −0.120323 0.290851i
\(526\) 9.90177e6 4.45462e6i 1.56044 0.702016i
\(527\) 2.88405e6i 0.452351i
\(528\) −5.33403e6 + 644398.i −0.832665 + 0.100593i
\(529\) −3.95765e6 −0.614891
\(530\) 4.08512e6 940074.i 0.631706 0.145369i
\(531\) −2772.08 2772.08i −0.000426648 0.000426648i
\(532\) 690276. 41544.7i 0.105741 0.00636409i
\(533\) 192227. + 192227.i 0.0293088 + 0.0293088i
\(534\) −9.70325e6 3.68163e6i −1.47253 0.558711i
\(535\) 1.02153e7 + 2.03430e6i 1.54300 + 0.307278i
\(536\) 647171. + 1.23444e6i 0.0972988 + 0.185592i
\(537\) 1.60381e6 0.240004
\(538\) −6.87119e6 2.60709e6i −1.02347 0.388329i
\(539\) 3.92441e6 3.92441e6i 0.581839 0.581839i
\(540\) −5.79860e6 + 4.39842e6i −0.855734 + 0.649102i
\(541\) 620582. + 620582.i 0.0911603 + 0.0911603i 0.751216 0.660056i \(-0.229467\pi\)
−0.660056 + 0.751216i \(0.729467\pi\)
\(542\) 4.53659e6 2.04093e6i 0.663333 0.298421i
\(543\) 365340.i 0.0531738i
\(544\) 4.41992e6 2.66738e6i 0.640349 0.386445i
\(545\) −6.97720e6 1.38946e6i −1.00621 0.200381i
\(546\) −40884.6 90878.5i −0.00586919 0.0130461i
\(547\) −4.19380e6 + 4.19380e6i −0.599293 + 0.599293i −0.940125 0.340831i \(-0.889292\pi\)
0.340831 + 0.940125i \(0.389292\pi\)
\(548\) 4.86762e6 5.49106e6i 0.692412 0.781097i
\(549\) −1.02698e6 + 1.02698e6i −0.145422 + 0.145422i
\(550\) −4.85149e6 4.57235e6i −0.683862 0.644514i
\(551\) 78172.7i 0.0109692i
\(552\) 1.84111e6 + 3.51180e6i 0.257176 + 0.490549i
\(553\) 4.28988e6 0.596530
\(554\) −1.13249e7 4.29694e6i −1.56770 0.594819i
\(555\) 3.62129e6 2.41850e6i 0.499034 0.333284i
\(556\) 434418. + 7.21797e6i 0.0595965 + 0.990212i
\(557\) −6.14757e6 + 6.14757e6i −0.839587 + 0.839587i −0.988804 0.149218i \(-0.952325\pi\)
0.149218 + 0.988804i \(0.452325\pi\)
\(558\) 371220. + 825150.i 0.0504714 + 0.112188i
\(559\) 413414. 0.0559572
\(560\) 1.70405e6 + 1.98635e6i 0.229622 + 0.267661i
\(561\) −4.67606e6 −0.627296
\(562\) 1.06347e6 + 2.36389e6i 0.142032 + 0.315709i
\(563\) 2.47689e6 2.47689e6i 0.329334 0.329334i −0.522999 0.852333i \(-0.675187\pi\)
0.852333 + 0.522999i \(0.175187\pi\)
\(564\) 1.70369e6 102537.i 0.225524 0.0135733i
\(565\) 7.32718e6 + 1.09712e7i 0.965641 + 1.44588i
\(566\) −423587. 160719.i −0.0555778 0.0210875i
\(567\) −2.03888e6 −0.266338
\(568\) −1.39782e7 4.36274e6i −1.81794 0.567398i
\(569\) 5.46045e6i 0.707046i 0.935426 + 0.353523i \(0.115016\pi\)
−0.935426 + 0.353523i \(0.884984\pi\)
\(570\) −1.10327e6 + 1.76282e6i −0.142231 + 0.227259i
\(571\) 6.07331e6 6.07331e6i 0.779535 0.779535i −0.200217 0.979752i \(-0.564165\pi\)
0.979752 + 0.200217i \(0.0641647\pi\)
\(572\) −250090. 221695.i −0.0319599 0.0283313i
\(573\) −2.15705e6 + 2.15705e6i −0.274456 + 0.274456i
\(574\) −1.04159e6 2.31524e6i −0.131952 0.293303i
\(575\) −1.88481e6 + 4.54461e6i −0.237737 + 0.573228i
\(576\) 921244. 1.33207e6i 0.115696 0.167290i
\(577\) 2.28995e6i 0.286342i −0.989698 0.143171i \(-0.954270\pi\)
0.989698 0.143171i \(-0.0457300\pi\)
\(578\) −3.22741e6 + 1.45195e6i −0.401822 + 0.180773i
\(579\) −7.64941e6 7.64941e6i −0.948269 0.948269i
\(580\) −235712. + 178795.i −0.0290945 + 0.0220691i
\(581\) −2.71309e6 + 2.71309e6i −0.333444 + 0.333444i
\(582\) 5.47040e6 + 2.07559e6i 0.669440 + 0.254001i
\(583\) 4.99906e6 0.609139
\(584\) 3.87103e6 1.24028e7i 0.469672 1.50483i
\(585\) −75045.2 14944.8i −0.00906637 0.00180551i
\(586\) 3.84214e6 + 1.45780e6i 0.462200 + 0.175369i
\(587\) −4.89101e6 4.89101e6i −0.585872 0.585872i 0.350639 0.936511i \(-0.385965\pi\)
−0.936511 + 0.350639i \(0.885965\pi\)
\(588\) −393634. 6.54033e6i −0.0469515 0.780111i
\(589\) 1.08160e6 + 1.08160e6i 0.128463 + 0.128463i
\(590\) −5624.92 24443.3i −0.000665252 0.00289087i
\(591\) 5.48102e6 0.645495
\(592\) −3.53855e6 + 4.51101e6i −0.414974 + 0.529017i
\(593\) 4.74292e6i 0.553871i 0.960888 + 0.276936i \(0.0893189\pi\)
−0.960888 + 0.276936i \(0.910681\pi\)
\(594\) −7.91534e6 + 3.56097e6i −0.920457 + 0.414097i
\(595\) 1.26502e6 + 1.89415e6i 0.146489 + 0.219342i
\(596\) 275190. + 4.57235e6i 0.0317334 + 0.527259i
\(597\) 7.34711e6 + 7.34711e6i 0.843686 + 0.843686i
\(598\) −87496.4 + 230604.i −0.0100055 + 0.0263702i
\(599\) 1.07209e7i 1.22085i −0.792074 0.610426i \(-0.790998\pi\)
0.792074 0.610426i \(-0.209002\pi\)
\(600\) −7.83877e6 + 705226.i −0.888934 + 0.0799743i
\(601\) 7.05198e6i 0.796388i −0.917301 0.398194i \(-0.869637\pi\)
0.917301 0.398194i \(-0.130363\pi\)
\(602\) −3.60968e6 1.36959e6i −0.405955 0.154028i
\(603\) 269102. + 269102.i 0.0301387 + 0.0301387i
\(604\) 5.39817e6 + 4.78528e6i 0.602080 + 0.533722i
\(605\) 584689. + 875471.i 0.0649436 + 0.0972418i
\(606\) −4.36159e6 9.69497e6i −0.482462 1.07242i
\(607\) 2.89512e6i 0.318930i 0.987204 + 0.159465i \(0.0509769\pi\)
−0.987204 + 0.159465i \(0.949023\pi\)
\(608\) 657252. 2.65794e6i 0.0721063 0.291599i
\(609\) −105201. −0.0114942
\(610\) −9.05554e6 + 2.08388e6i −0.985349 + 0.226750i
\(611\) 75071.1 + 75071.1i 0.00813522 + 0.00813522i
\(612\) 935034. 1.05479e6i 0.100913 0.113838i
\(613\) −7.14700e6 7.14700e6i −0.768197 0.768197i 0.209592 0.977789i \(-0.432787\pi\)
−0.977789 + 0.209592i \(0.932787\pi\)
\(614\) 161578. 425853.i 0.0172967 0.0455868i
\(615\) 7.48768e6 + 1.49112e6i 0.798288 + 0.158974i
\(616\) 1.44918e6 + 2.76423e6i 0.153876 + 0.293509i
\(617\) −9.19849e6 −0.972756 −0.486378 0.873749i \(-0.661682\pi\)
−0.486378 + 0.873749i \(0.661682\pi\)
\(618\) −1.56126e6 + 4.11484e6i −0.164439 + 0.433392i
\(619\) 7.47005e6 7.47005e6i 0.783604 0.783604i −0.196833 0.980437i \(-0.563066\pi\)
0.980437 + 0.196833i \(0.0630656\pi\)
\(620\) −787502. + 5.73512e6i −0.0822759 + 0.599189i
\(621\) 4.52935e6 + 4.52935e6i 0.471310 + 0.471310i
\(622\) −4.87935e6 1.08458e7i −0.505692 1.12405i
\(623\) 6.02872e6i 0.622307i
\(624\) −391709. + 47321.9i −0.0402718 + 0.00486520i
\(625\) −6.89919e6 6.91148e6i −0.706478 0.707735i
\(626\) −7.10911e6 + 3.19826e6i −0.725069 + 0.326195i
\(627\) −1.75365e6 + 1.75365e6i −0.178146 + 0.178146i
\(628\) −831869. 1.38217e7i −0.0841697 1.39850i
\(629\) −3.52831e6 + 3.52831e6i −0.355583 + 0.355583i
\(630\) 605739. + 379105.i 0.0608043 + 0.0380547i
\(631\) 8.70748e6i 0.870601i −0.900285 0.435301i \(-0.856642\pi\)
0.900285 0.435301i \(-0.143358\pi\)
\(632\) 5.06048e6 1.62138e7i 0.503964 1.61470i
\(633\) 1.08211e7 1.07340
\(634\) −484184. + 1.27611e6i −0.0478395 + 0.126085i
\(635\) 3.09421e6 + 4.63304e6i 0.304519 + 0.455965i
\(636\) 3.91494e6 4.41636e6i 0.383780 0.432934i
\(637\) 288192. 288192.i 0.0281406 0.0281406i
\(638\) −321757. + 144752.i −0.0312951 + 0.0140791i
\(639\) −3.99824e6 −0.387361
\(640\) 9.51765e6 4.09738e6i 0.918501 0.395418i
\(641\) 5.66186e6 0.544270 0.272135 0.962259i \(-0.412270\pi\)
0.272135 + 0.962259i \(0.412270\pi\)
\(642\) 1.33735e7 6.01649e6i 1.28058 0.576110i
\(643\) 1.17379e7 1.17379e7i 1.11960 1.11960i 0.127795 0.991801i \(-0.459210\pi\)
0.991801 0.127795i \(-0.0407901\pi\)
\(644\) 1.52793e6 1.72363e6i 0.145174 0.163768i
\(645\) 9.65513e6 6.44825e6i 0.913817 0.610299i
\(646\) 845334. 2.22795e6i 0.0796979 0.210050i
\(647\) 1.20318e6 0.112997 0.0564987 0.998403i \(-0.482006\pi\)
0.0564987 + 0.998403i \(0.482006\pi\)
\(648\) −2.40513e6 + 7.70603e6i −0.225010 + 0.720930i
\(649\) 29911.8i 0.00278760i
\(650\) −356273. 335774.i −0.0330750 0.0311719i
\(651\) −1.45557e6 + 1.45557e6i −0.134611 + 0.134611i
\(652\) −667222. 1.10861e7i −0.0614683 1.02131i
\(653\) −6.68968e6 + 6.68968e6i −0.613935 + 0.613935i −0.943969 0.330034i \(-0.892940\pi\)
0.330034 + 0.943969i \(0.392940\pi\)
\(654\) −9.13433e6 + 4.10937e6i −0.835088 + 0.375691i
\(655\) 7.09659e6 + 1.41324e6i 0.646318 + 0.128710i
\(656\) −9.97925e6 + 1.20558e6i −0.905396 + 0.109380i
\(657\) 3.54762e6i 0.320644i
\(658\) −406773. 904177.i −0.0366258 0.0814121i
\(659\) −5.09399e6 5.09399e6i −0.456924 0.456924i 0.440720 0.897645i \(-0.354723\pi\)
−0.897645 + 0.440720i \(0.854723\pi\)
\(660\) −9.29866e6 1.27682e6i −0.830923 0.114096i
\(661\) −6.61294e6 + 6.61294e6i −0.588696 + 0.588696i −0.937278 0.348582i \(-0.886663\pi\)
0.348582 + 0.937278i \(0.386663\pi\)
\(662\) −16638.8 + 43852.8i −0.00147563 + 0.00388913i
\(663\) −343390. −0.0303392
\(664\) 7.05379e6 + 1.34547e7i 0.620872 + 1.18428i
\(665\) 1.18478e6 + 235941.i 0.103892 + 0.0206895i
\(666\) −555333. + 1.46363e6i −0.0485141 + 0.127863i
\(667\) 184117. + 184117.i 0.0160243 + 0.0160243i
\(668\) −3.52729e6 + 3.97906e6i −0.305844 + 0.345016i
\(669\) 1.17099e7 + 1.17099e7i 1.01155 + 1.01155i
\(670\) 546043. + 2.37285e6i 0.0469938 + 0.204213i
\(671\) −1.10815e7 −0.950149
\(672\) 3.57693e6 + 884501.i 0.305554 + 0.0755571i
\(673\) 1.72503e7i 1.46811i 0.679089 + 0.734056i \(0.262375\pi\)
−0.679089 + 0.734056i \(0.737625\pi\)
\(674\) 3.69190e6 + 8.20638e6i 0.313040 + 0.695828i
\(675\) −1.17486e7 + 4.86030e6i −0.992488 + 0.410585i
\(676\) 8.87259e6 + 7.86522e6i 0.746765 + 0.661979i
\(677\) −9.55582e6 9.55582e6i −0.801302 0.801302i 0.181997 0.983299i \(-0.441744\pi\)
−0.983299 + 0.181997i \(0.941744\pi\)
\(678\) 1.73664e7 + 6.58921e6i 1.45089 + 0.550502i
\(679\) 3.39881e6i 0.282913i
\(680\) 8.65130e6 2.54681e6i 0.717478 0.211214i
\(681\) 1.25121e7i 1.03386i
\(682\) −2.44903e6 + 6.45463e6i −0.201620 + 0.531386i
\(683\) 1.78019e6 + 1.78019e6i 0.146021 + 0.146021i 0.776338 0.630317i \(-0.217075\pi\)
−0.630317 + 0.776338i \(0.717075\pi\)
\(684\) −44913.0 746241.i −0.00367056 0.0609872i
\(685\) 1.06601e7 7.11941e6i 0.868028 0.579719i
\(686\) −7.43515e6 + 3.34494e6i −0.603225 + 0.271380i
\(687\) 1.56578e7i 1.26572i
\(688\) −9.43455e6 + 1.20273e7i −0.759889 + 0.968720i
\(689\) 367110. 0.0294610
\(690\) 1.55341e6 + 6.75040e6i 0.124212 + 0.539768i
\(691\) 1.51265e7 + 1.51265e7i 1.20515 + 1.20515i 0.972579 + 0.232575i \(0.0747150\pi\)
0.232575 + 0.972579i \(0.425285\pi\)
\(692\) 622357. + 1.03406e7i 0.0494054 + 0.820884i
\(693\) 602588. + 602588.i 0.0476637 + 0.0476637i
\(694\) 7.18461e6 + 2.72601e6i 0.566245 + 0.214846i
\(695\) −2.46715e6 + 1.23888e7i −0.193747 + 0.972899i
\(696\) −124099. + 397613.i −0.00971058 + 0.0311127i
\(697\) −8.74828e6 −0.682089
\(698\) 167621. + 63599.3i 0.0130224 + 0.00494099i
\(699\) 5.22514e6 5.22514e6i 0.404487 0.404487i
\(700\) 1.99838e6 + 4.11207e6i 0.154146 + 0.317187i
\(701\) −1.06516e7 1.06516e7i −0.818688 0.818688i 0.167230 0.985918i \(-0.446518\pi\)
−0.985918 + 0.167230i \(0.946518\pi\)
\(702\) −581269. + 261502.i −0.0445179 + 0.0200278i
\(703\) 2.64643e6i 0.201963i
\(704\) 1.21570e7 2.21647e6i 0.924476 0.168551i
\(705\) 2.92418e6 + 582332.i 0.221581 + 0.0441263i
\(706\) −1.40739e6 3.12836e6i −0.106268 0.236214i
\(707\) −4.36673e6 + 4.36673e6i −0.328555 + 0.328555i
\(708\) −26425.3 23425.0i −0.00198124 0.00175629i
\(709\) −1.67716e7 + 1.67716e7i −1.25303 + 1.25303i −0.298668 + 0.954357i \(0.596542\pi\)
−0.954357 + 0.298668i \(0.903458\pi\)
\(710\) −2.16840e7 1.35711e7i −1.61433 1.01034i
\(711\) 4.63769e6i 0.344055i
\(712\) 2.27858e7 + 7.11168e6i 1.68447 + 0.525741i
\(713\) 5.09490e6 0.375328
\(714\) 2.99827e6 + 1.13761e6i 0.220103 + 0.0835121i
\(715\) −324253. 485512.i −0.0237202 0.0355169i
\(716\) −3.68210e6 + 221609.i −0.268419 + 0.0161549i
\(717\) 3.43490e6 3.43490e6i 0.249526 0.249526i
\(718\) 8.77767e6 + 1.95111e7i 0.635431 + 1.41244i
\(719\) 4.89057e6 0.352807 0.176403 0.984318i \(-0.443554\pi\)
0.176403 + 0.984318i \(0.443554\pi\)
\(720\) 2.14740e6 1.84221e6i 0.154376 0.132437i
\(721\) 2.55659e6 0.183156
\(722\) 5.22818e6 + 1.16212e7i 0.373256 + 0.829676i
\(723\) 1.34563e7 1.34563e7i 0.957368 0.957368i
\(724\) 50481.4 + 838762.i 0.00357919 + 0.0594693i
\(725\) −477576. + 197570.i −0.0337441 + 0.0139597i
\(726\) 1.38579e6 + 525801.i 0.0975791 + 0.0370237i
\(727\) −1.99767e7 −1.40181 −0.700904 0.713256i \(-0.747220\pi\)
−0.700904 + 0.713256i \(0.747220\pi\)
\(728\) 106422. + 202993.i 0.00744221 + 0.0141956i
\(729\) 1.59595e7i 1.11224i
\(730\) 1.20415e7 1.92401e7i 0.836324 1.33629i
\(731\) −9.40725e6 + 9.40725e6i −0.651132 + 0.651132i
\(732\) −8.67830e6 + 9.78982e6i −0.598628 + 0.675300i
\(733\) 9.28442e6 9.28442e6i 0.638256 0.638256i −0.311869 0.950125i \(-0.600955\pi\)
0.950125 + 0.311869i \(0.100955\pi\)
\(734\) 3.95222e6 + 8.78502e6i 0.270770 + 0.601870i
\(735\) 2.23553e6 1.12257e7i 0.152638 0.766472i
\(736\) −4.71213e6 7.80813e6i −0.320644 0.531316i
\(737\) 2.90371e6i 0.196918i
\(738\) −2.50296e6 + 1.12603e6i −0.169166 + 0.0761046i
\(739\) −4.34191e6 4.34191e6i −0.292462 0.292462i 0.545590 0.838052i \(-0.316306\pi\)
−0.838052 + 0.545590i \(0.816306\pi\)
\(740\) −7.97971e6 + 6.05287e6i −0.535683 + 0.406333i
\(741\) −128781. + 128781.i −0.00861601 + 0.00861601i
\(742\) −3.20538e6 1.21619e6i −0.213732 0.0810948i
\(743\) −2.55197e7 −1.69591 −0.847956 0.530066i \(-0.822167\pi\)
−0.847956 + 0.530066i \(0.822167\pi\)
\(744\) 3.78435e6 + 7.21842e6i 0.250645 + 0.478090i
\(745\) −1.56286e6 + 7.84791e6i −0.103164 + 0.518040i
\(746\) −8.16961e6 3.09974e6i −0.537470 0.203928i
\(747\) 2.93306e6 + 2.93306e6i 0.192318 + 0.192318i
\(748\) 1.07355e7 646122.i 0.701564 0.0422241i
\(749\) −6.02358e6 6.02358e6i −0.392329 0.392329i
\(750\) −1.35579e7 2.28490e6i −0.880114 0.148325i
\(751\) 1.81595e7 1.17491 0.587454 0.809258i \(-0.300130\pi\)
0.587454 + 0.809258i \(0.300130\pi\)
\(752\) −3.89722e6 + 470819.i −0.251310 + 0.0303605i
\(753\) 2.31791e7i 1.48974i
\(754\) −23628.5 + 10630.0i −0.00151359 + 0.000680934i
\(755\) 6.99898e6 + 1.04798e7i 0.446856 + 0.669089i
\(756\) 5.94162e6 357600.i 0.378094 0.0227558i
\(757\) −6.72531e6 6.72531e6i −0.426553 0.426553i 0.460900 0.887452i \(-0.347527\pi\)
−0.887452 + 0.460900i \(0.847527\pi\)
\(758\) 521769. 1.37516e6i 0.0329841 0.0869324i
\(759\) 8.26063e6i 0.520485i
\(760\) 2.28936e6 4.19960e6i 0.143774 0.263739i
\(761\) 403804.i