Properties

Label 80.6.q.a.29.6
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 29.6
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.44124 + 1.54691i) q^{2} +(9.88218 - 9.88218i) q^{3} +(27.2142 - 16.8342i) q^{4} +(27.0375 + 48.9282i) q^{5} +(-38.4845 + 69.0581i) q^{6} -163.839 q^{7} +(-122.038 + 133.697i) q^{8} +47.6849i q^{9} +O(q^{10})\) \(q+(-5.44124 + 1.54691i) q^{2} +(9.88218 - 9.88218i) q^{3} +(27.2142 - 16.8342i) q^{4} +(27.0375 + 48.9282i) q^{5} +(-38.4845 + 69.0581i) q^{6} -163.839 q^{7} +(-122.038 + 133.697i) q^{8} +47.6849i q^{9} +(-222.805 - 224.406i) q^{10} +(237.296 - 237.296i) q^{11} +(102.577 - 435.294i) q^{12} +(-496.001 + 496.001i) q^{13} +(891.486 - 253.443i) q^{14} +(750.708 + 216.328i) q^{15} +(457.221 - 916.256i) q^{16} +595.429i q^{17} +(-73.7640 - 259.465i) q^{18} +(424.045 + 424.045i) q^{19} +(1559.47 + 876.386i) q^{20} +(-1619.08 + 1619.08i) q^{21} +(-924.111 + 1658.26i) q^{22} -4158.82 q^{23} +(115.213 + 2527.21i) q^{24} +(-1662.94 + 2645.80i) q^{25} +(1931.59 - 3466.13i) q^{26} +(2872.60 + 2872.60i) q^{27} +(-4458.73 + 2758.09i) q^{28} +(3202.25 + 3202.25i) q^{29} +(-4419.42 - 15.8166i) q^{30} -7965.53 q^{31} +(-1070.49 + 5692.85i) q^{32} -4690.01i q^{33} +(-921.073 - 3239.87i) q^{34} +(-4429.80 - 8016.34i) q^{35} +(802.736 + 1297.70i) q^{36} +(7883.67 + 7883.67i) q^{37} +(-2963.29 - 1651.37i) q^{38} +9803.15i q^{39} +(-9841.14 - 2356.27i) q^{40} +10819.2i q^{41} +(6305.25 - 11314.4i) q^{42} +(14859.6 + 14859.6i) q^{43} +(2463.13 - 10452.5i) q^{44} +(-2333.14 + 1289.28i) q^{45} +(22629.1 - 6433.30i) q^{46} -10242.4i q^{47} +(-4536.27 - 13573.0i) q^{48} +10036.1 q^{49} +(4955.67 - 16968.8i) q^{50} +(5884.14 + 5884.14i) q^{51} +(-5148.49 + 21848.0i) q^{52} +(-25488.4 - 25488.4i) q^{53} +(-20074.2 - 11186.9i) q^{54} +(18026.4 + 5194.58i) q^{55} +(19994.5 - 21904.7i) q^{56} +8380.99 q^{57} +(-22377.8 - 12470.6i) q^{58} +(1433.11 - 1433.11i) q^{59} +(24071.6 - 6750.36i) q^{60} +(-6070.84 - 6070.84i) q^{61} +(43342.3 - 12321.9i) q^{62} -7812.63i q^{63} +(-2981.52 - 32632.1i) q^{64} +(-37679.1 - 10857.8i) q^{65} +(7255.01 + 25519.5i) q^{66} +(27935.2 - 27935.2i) q^{67} +(10023.6 + 16204.1i) q^{68} +(-41098.2 + 41098.2i) q^{69} +(36504.1 + 36766.3i) q^{70} +17162.5i q^{71} +(-6375.30 - 5819.36i) q^{72} -22459.0 q^{73} +(-55092.2 - 30701.6i) q^{74} +(9712.76 + 42579.8i) q^{75} +(18678.5 + 4401.59i) q^{76} +(-38878.3 + 38878.3i) q^{77} +(-15164.6 - 53341.3i) q^{78} +3182.60 q^{79} +(57192.9 - 2402.28i) q^{80} +45187.7 q^{81} +(-16736.2 - 58869.7i) q^{82} +(-24530.3 + 24530.3i) q^{83} +(-16806.1 + 71318.0i) q^{84} +(-29133.3 + 16098.9i) q^{85} +(-103841. - 57868.1i) q^{86} +63290.4 q^{87} +(2766.56 + 60684.8i) q^{88} -36437.3i q^{89} +(10700.8 - 10624.4i) q^{90} +(81264.2 - 81264.2i) q^{91} +(-113179. + 70010.2i) q^{92} +(-78716.8 + 78716.8i) q^{93} +(15844.0 + 55731.2i) q^{94} +(-9282.65 + 32212.9i) q^{95} +(45679.0 + 66836.5i) q^{96} -32621.8i q^{97} +(-54609.0 + 15524.9i) q^{98} +(11315.4 + 11315.4i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.44124 + 1.54691i −0.961884 + 0.273457i
\(3\) 9.88218 9.88218i 0.633942 0.633942i −0.315112 0.949054i \(-0.602042\pi\)
0.949054 + 0.315112i \(0.102042\pi\)
\(4\) 27.2142 16.8342i 0.850443 0.526068i
\(5\) 27.0375 + 48.9282i 0.483662 + 0.875255i
\(6\) −38.4845 + 69.0581i −0.436423 + 0.783135i
\(7\) −163.839 −1.26378 −0.631890 0.775058i \(-0.717721\pi\)
−0.631890 + 0.775058i \(0.717721\pi\)
\(8\) −122.038 + 133.697i −0.674170 + 0.738576i
\(9\) 47.6849i 0.196234i
\(10\) −222.805 224.406i −0.704572 0.709633i
\(11\) 237.296 237.296i 0.591302 0.591302i −0.346681 0.937983i \(-0.612691\pi\)
0.937983 + 0.346681i \(0.112691\pi\)
\(12\) 102.577 435.294i 0.205635 0.872628i
\(13\) −496.001 + 496.001i −0.814000 + 0.814000i −0.985231 0.171231i \(-0.945226\pi\)
0.171231 + 0.985231i \(0.445226\pi\)
\(14\) 891.486 253.443i 1.21561 0.345589i
\(15\) 750.708 + 216.328i 0.861475 + 0.248247i
\(16\) 457.221 916.256i 0.446505 0.894781i
\(17\) 595.429i 0.499698i 0.968285 + 0.249849i \(0.0803810\pi\)
−0.968285 + 0.249849i \(0.919619\pi\)
\(18\) −73.7640 259.465i −0.0536616 0.188754i
\(19\) 424.045 + 424.045i 0.269481 + 0.269481i 0.828891 0.559410i \(-0.188972\pi\)
−0.559410 + 0.828891i \(0.688972\pi\)
\(20\) 1559.47 + 876.386i 0.871770 + 0.489915i
\(21\) −1619.08 + 1619.08i −0.801164 + 0.801164i
\(22\) −924.111 + 1658.26i −0.407068 + 0.730459i
\(23\) −4158.82 −1.63927 −0.819634 0.572887i \(-0.805823\pi\)
−0.819634 + 0.572887i \(0.805823\pi\)
\(24\) 115.213 + 2527.21i 0.0408294 + 0.895600i
\(25\) −1662.94 + 2645.80i −0.532142 + 0.846655i
\(26\) 1931.59 3466.13i 0.560380 1.00557i
\(27\) 2872.60 + 2872.60i 0.758343 + 0.758343i
\(28\) −4458.73 + 2758.09i −1.07477 + 0.664834i
\(29\) 3202.25 + 3202.25i 0.707066 + 0.707066i 0.965917 0.258851i \(-0.0833439\pi\)
−0.258851 + 0.965917i \(0.583344\pi\)
\(30\) −4419.42 15.8166i −0.896524 0.00320856i
\(31\) −7965.53 −1.48871 −0.744355 0.667784i \(-0.767243\pi\)
−0.744355 + 0.667784i \(0.767243\pi\)
\(32\) −1070.49 + 5692.85i −0.184802 + 0.982776i
\(33\) 4690.01i 0.749702i
\(34\) −921.073 3239.87i −0.136646 0.480652i
\(35\) −4429.80 8016.34i −0.611243 1.10613i
\(36\) 802.736 + 1297.70i 0.103232 + 0.166886i
\(37\) 7883.67 + 7883.67i 0.946725 + 0.946725i 0.998651 0.0519256i \(-0.0165359\pi\)
−0.0519256 + 0.998651i \(0.516536\pi\)
\(38\) −2963.29 1651.37i −0.332901 0.185518i
\(39\) 9803.15i 1.03206i
\(40\) −9841.14 2356.27i −0.972513 0.232849i
\(41\) 10819.2i 1.00516i 0.864531 + 0.502579i \(0.167615\pi\)
−0.864531 + 0.502579i \(0.832385\pi\)
\(42\) 6305.25 11314.4i 0.551543 0.989710i
\(43\) 14859.6 + 14859.6i 1.22556 + 1.22556i 0.965626 + 0.259936i \(0.0837015\pi\)
0.259936 + 0.965626i \(0.416298\pi\)
\(44\) 2463.13 10452.5i 0.191803 0.813933i
\(45\) −2333.14 + 1289.28i −0.171755 + 0.0949110i
\(46\) 22629.1 6433.30i 1.57679 0.448270i
\(47\) 10242.4i 0.676326i −0.941088 0.338163i \(-0.890195\pi\)
0.941088 0.338163i \(-0.109805\pi\)
\(48\) −4536.27 13573.0i −0.284181 0.850298i
\(49\) 10036.1 0.597140
\(50\) 4955.67 16968.8i 0.280335 0.959902i
\(51\) 5884.14 + 5884.14i 0.316780 + 0.316780i
\(52\) −5148.49 + 21848.0i −0.264041 + 1.12048i
\(53\) −25488.4 25488.4i −1.24639 1.24639i −0.957303 0.289086i \(-0.906649\pi\)
−0.289086 0.957303i \(1.40665\pi\)
\(54\) −20074.2 11186.9i −0.936813 0.522064i
\(55\) 18026.4 + 5194.58i 0.803530 + 0.231549i
\(56\) 19994.5 21904.7i 0.852003 0.933397i
\(57\) 8380.99 0.341671
\(58\) −22377.8 12470.6i −0.873468 0.486764i
\(59\) 1433.11 1433.11i 0.0535982 0.0535982i −0.679800 0.733398i \(-0.737933\pi\)
0.733398 + 0.679800i \(0.237933\pi\)
\(60\) 24071.6 6750.36i 0.863230 0.242075i
\(61\) −6070.84 6070.84i −0.208893 0.208893i 0.594904 0.803797i \(-0.297190\pi\)
−0.803797 + 0.594904i \(0.797190\pi\)
\(62\) 43342.3 12321.9i 1.43197 0.407098i
\(63\) 7812.63i 0.247997i
\(64\) −2981.52 32632.1i −0.0909887 0.995852i
\(65\) −37679.1 10857.8i −1.10616 0.318756i
\(66\) 7255.01 + 25519.5i 0.205011 + 0.721127i
\(67\) 27935.2 27935.2i 0.760263 0.760263i −0.216106 0.976370i \(-0.569336\pi\)
0.976370 + 0.216106i \(0.0693358\pi\)
\(68\) 10023.6 + 16204.1i 0.262875 + 0.424965i
\(69\) −41098.2 + 41098.2i −1.03920 + 1.03920i
\(70\) 36504.1 + 36766.3i 0.890423 + 0.896820i
\(71\) 17162.5i 0.404049i 0.979380 + 0.202024i \(0.0647520\pi\)
−0.979380 + 0.202024i \(0.935248\pi\)
\(72\) −6375.30 5819.36i −0.144934 0.132295i
\(73\) −22459.0 −0.493269 −0.246635 0.969109i \(-0.579325\pi\)
−0.246635 + 0.969109i \(0.579325\pi\)
\(74\) −55092.2 30701.6i −1.16953 0.651752i
\(75\) 9712.76 + 42579.8i 0.199384 + 0.874078i
\(76\) 18678.5 + 4401.59i 0.370944 + 0.0874129i
\(77\) −38878.3 + 38878.3i −0.747275 + 0.747275i
\(78\) −15164.6 53341.3i −0.282224 0.992721i
\(79\) 3182.60 0.0573738 0.0286869 0.999588i \(-0.490867\pi\)
0.0286869 + 0.999588i \(0.490867\pi\)
\(80\) 57192.9 2402.28i 0.999119 0.0419662i
\(81\) 45187.7 0.765258
\(82\) −16736.2 58869.7i −0.274867 0.966845i
\(83\) −24530.3 + 24530.3i −0.390848 + 0.390848i −0.874990 0.484142i \(-0.839132\pi\)
0.484142 + 0.874990i \(0.339132\pi\)
\(84\) −16806.1 + 71318.0i −0.259877 + 1.10281i
\(85\) −29133.3 + 16098.9i −0.437363 + 0.241685i
\(86\) −103841. 57868.1i −1.51399 0.843710i
\(87\) 63290.4 0.896478
\(88\) 2766.56 + 60684.8i 0.0380831 + 0.835359i
\(89\) 36437.3i 0.487608i −0.969824 0.243804i \(-0.921605\pi\)
0.969824 0.243804i \(-0.0783954\pi\)
\(90\) 10700.8 10624.4i 0.139254 0.138261i
\(91\) 81264.2 81264.2i 1.02872 1.02872i
\(92\) −113179. + 70010.2i −1.39410 + 0.862367i
\(93\) −78716.8 + 78716.8i −0.943757 + 0.943757i
\(94\) 15844.0 + 55731.2i 0.184946 + 0.650547i
\(95\) −9282.65 + 32212.9i −0.105527 + 0.366203i
\(96\) 45679.0 + 66836.5i 0.505869 + 0.740177i
\(97\) 32621.8i 0.352029i −0.984388 0.176014i \(-0.943679\pi\)
0.984388 0.176014i \(-0.0563206\pi\)
\(98\) −54609.0 + 15524.9i −0.574379 + 0.163292i
\(99\) 11315.4 + 11315.4i 0.116034 + 0.116034i
\(100\) −715.767 + 99997.4i −0.00715767 + 0.999974i
\(101\) 62763.5 62763.5i 0.612215 0.612215i −0.331308 0.943523i \(-0.607490\pi\)
0.943523 + 0.331308i \(0.107490\pi\)
\(102\) −41119.2 22914.8i −0.391331 0.218080i
\(103\) 89216.5 0.828614 0.414307 0.910137i \(-0.364024\pi\)
0.414307 + 0.910137i \(0.364024\pi\)
\(104\) −5782.71 126845.i −0.0524262 1.14998i
\(105\) −122995. 35442.9i −1.08871 0.313730i
\(106\) 178117. + 99260.5i 1.53972 + 0.858048i
\(107\) −15708.7 15708.7i −0.132642 0.132642i 0.637669 0.770311i \(-0.279899\pi\)
−0.770311 + 0.637669i \(0.779899\pi\)
\(108\) 126533. + 29817.6i 1.04387 + 0.245987i
\(109\) 34699.7 + 34699.7i 0.279743 + 0.279743i 0.833006 0.553264i \(-0.186618\pi\)
−0.553264 + 0.833006i \(0.686618\pi\)
\(110\) −106121. 379.796i −0.836222 0.00299274i
\(111\) 155816. 1.20034
\(112\) −74910.5 + 150118.i −0.564284 + 1.13081i
\(113\) 186059.i 1.37074i −0.728195 0.685370i \(-0.759640\pi\)
0.728195 0.685370i \(-0.240360\pi\)
\(114\) −45603.0 + 12964.6i −0.328648 + 0.0934323i
\(115\) −112444. 203484.i −0.792852 1.43478i
\(116\) 141054. + 33239.3i 0.973284 + 0.229354i
\(117\) −23651.8 23651.8i −0.159735 0.159735i
\(118\) −5581.01 + 10014.8i −0.0368984 + 0.0662120i
\(119\) 97554.4i 0.631509i
\(120\) −120537. + 73966.8i −0.764130 + 0.468904i
\(121\) 48432.0i 0.300724i
\(122\) 42423.9 + 23641.9i 0.258054 + 0.143808i
\(123\) 106917. + 106917.i 0.637212 + 0.637212i
\(124\) −216775. + 134093.i −1.26606 + 0.783163i
\(125\) −174416. 9828.96i −0.998416 0.0562643i
\(126\) 12085.4 + 42510.4i 0.0678164 + 0.238544i
\(127\) 17509.6i 0.0963313i −0.998839 0.0481657i \(-0.984662\pi\)
0.998839 0.0481657i \(-0.0153375\pi\)
\(128\) 66701.9 + 172947.i 0.359843 + 0.933013i
\(129\) 293690. 1.55387
\(130\) 221817. + 793.858i 1.15116 + 0.00411988i
\(131\) −120437. 120437.i −0.613170 0.613170i 0.330600 0.943771i \(-0.392749\pi\)
−0.943771 + 0.330600i \(0.892749\pi\)
\(132\) −78952.5 127635.i −0.394394 0.637579i
\(133\) −69475.1 69475.1i −0.340565 0.340565i
\(134\) −108789. + 195215.i −0.523386 + 0.939185i
\(135\) −62883.2 + 218219.i −0.296962 + 1.03053i
\(136\) −79606.8 72664.9i −0.369065 0.336882i
\(137\) −149328. −0.679734 −0.339867 0.940473i \(-0.610382\pi\)
−0.339867 + 0.940473i \(0.610382\pi\)
\(138\) 160050. 287200.i 0.715415 1.28377i
\(139\) 207476. 207476.i 0.910815 0.910815i −0.0855210 0.996336i \(-0.527255\pi\)
0.996336 + 0.0855210i \(0.0272555\pi\)
\(140\) −255502. 143586.i −1.10173 0.619144i
\(141\) −101217. 101217.i −0.428751 0.428751i
\(142\) −26548.7 93385.1i −0.110490 0.388648i
\(143\) 235399.i 0.962639i
\(144\) 43691.6 + 21802.5i 0.175587 + 0.0876195i
\(145\) −70099.4 + 243261.i −0.276882 + 0.960844i
\(146\) 122205. 34742.0i 0.474468 0.134888i
\(147\) 99178.8 99178.8i 0.378552 0.378552i
\(148\) 347262. + 81832.4i 1.30318 + 0.307094i
\(149\) −305179. + 305179.i −1.12613 + 1.12613i −0.135332 + 0.990800i \(0.543210\pi\)
−0.990800 + 0.135332i \(0.956790\pi\)
\(150\) −118716. 216662.i −0.430807 0.786239i
\(151\) 106699.i 0.380817i 0.981705 + 0.190409i \(0.0609813\pi\)
−0.981705 + 0.190409i \(0.939019\pi\)
\(152\) −108443. + 4943.80i −0.380709 + 0.0173561i
\(153\) −28393.0 −0.0980578
\(154\) 151405. 271687.i 0.514445 0.923140i
\(155\) −215368. 389739.i −0.720033 1.30300i
\(156\) 165028. + 266785.i 0.542933 + 0.877706i
\(157\) 215938. 215938.i 0.699164 0.699164i −0.265066 0.964230i \(-0.585394\pi\)
0.964230 + 0.265066i \(0.0853939\pi\)
\(158\) −17317.3 + 4923.18i −0.0551870 + 0.0156893i
\(159\) −503763. −1.58028
\(160\) −307484. + 101543.i −0.949561 + 0.313583i
\(161\) 681375. 2.07168
\(162\) −245877. + 69901.2i −0.736090 + 0.209265i
\(163\) −201066. + 201066.i −0.592748 + 0.592748i −0.938373 0.345624i \(-0.887667\pi\)
0.345624 + 0.938373i \(0.387667\pi\)
\(164\) 182132. + 294434.i 0.528781 + 0.854829i
\(165\) 229474. 126806.i 0.656181 0.362603i
\(166\) 95529.1 171421.i 0.269070 0.482830i
\(167\) 668460. 1.85475 0.927373 0.374138i \(-0.122061\pi\)
0.927373 + 0.374138i \(0.122061\pi\)
\(168\) −18876.3 414056.i −0.0515994 1.13184i
\(169\) 120742.i 0.325192i
\(170\) 133618. 132665.i 0.354602 0.352073i
\(171\) −20220.6 + 20220.6i −0.0528814 + 0.0528814i
\(172\) 654540. + 154242.i 1.68700 + 0.397541i
\(173\) 493566. 493566.i 1.25381 1.25381i 0.299805 0.954000i \(-0.403078\pi\)
0.954000 0.299805i \(-0.0969218\pi\)
\(174\) −344378. + 97904.3i −0.862308 + 0.245148i
\(175\) 272454. 433484.i 0.672510 1.06999i
\(176\) −108927. 325921.i −0.265066 0.793105i
\(177\) 28324.5i 0.0679563i
\(178\) 56365.1 + 198264.i 0.133340 + 0.469023i
\(179\) −248593. 248593.i −0.579905 0.579905i 0.354972 0.934877i \(-0.384490\pi\)
−0.934877 + 0.354972i \(0.884490\pi\)
\(180\) −41790.4 + 74363.2i −0.0961380 + 0.171071i
\(181\) −616940. + 616940.i −1.39974 + 1.39974i −0.598956 + 0.800782i \(0.704418\pi\)
−0.800782 + 0.598956i \(0.795582\pi\)
\(182\) −316470. + 567886.i −0.708197 + 1.27082i
\(183\) −119986. −0.264852
\(184\) 507533. 556019.i 1.10515 1.21072i
\(185\) −172579. + 598889.i −0.370731 + 1.28652i
\(186\) 306549. 550085.i 0.649708 1.16586i
\(187\) 141293. + 141293.i 0.295472 + 0.295472i
\(188\) −172422. 278738.i −0.355793 0.575176i
\(189\) −470643. 470643.i −0.958379 0.958379i
\(190\) 678.691 189638.i 0.00136392 0.381101i
\(191\) 413626. 0.820399 0.410199 0.911996i \(-0.365459\pi\)
0.410199 + 0.911996i \(0.365459\pi\)
\(192\) −351940. 293012.i −0.688994 0.573631i
\(193\) 340061.i 0.657148i 0.944478 + 0.328574i \(0.106568\pi\)
−0.944478 + 0.328574i \(0.893432\pi\)
\(194\) 50462.8 + 177503.i 0.0962648 + 0.338611i
\(195\) −479651. + 265053.i −0.903314 + 0.499168i
\(196\) 273125. 168950.i 0.507833 0.314136i
\(197\) 315890. + 315890.i 0.579922 + 0.579922i 0.934882 0.354959i \(-0.115505\pi\)
−0.354959 + 0.934882i \(0.615505\pi\)
\(198\) −79074.0 44066.1i −0.143341 0.0798807i
\(199\) 823192.i 1.47356i 0.676132 + 0.736781i \(0.263655\pi\)
−0.676132 + 0.736781i \(0.736345\pi\)
\(200\) −150792. 545217.i −0.266565 0.963817i
\(201\) 552121.i 0.963926i
\(202\) −244422. + 438601.i −0.421465 + 0.756294i
\(203\) −524652. 524652.i −0.893576 0.893576i
\(204\) 259187. + 61077.3i 0.436051 + 0.102755i
\(205\) −529363. + 292524.i −0.879769 + 0.486157i
\(206\) −485448. + 138010.i −0.797031 + 0.226590i
\(207\) 198313.i 0.321680i
\(208\) 227682. + 681246.i 0.364897 + 1.09181i
\(209\) 201249. 0.318689
\(210\) 724072. + 2591.37i 1.13301 + 0.00405491i
\(211\) 291079. + 291079.i 0.450095 + 0.450095i 0.895386 0.445291i \(-0.146900\pi\)
−0.445291 + 0.895386i \(0.646900\pi\)
\(212\) −1.12272e6 264570.i −1.71567 0.404297i
\(213\) 169603. + 169603.i 0.256144 + 0.256144i
\(214\) 109775. + 61175.1i 0.163859 + 0.0913146i
\(215\) −325286. + 1.12882e6i −0.479921 + 1.66544i
\(216\) −734623. + 33490.7i −1.07135 + 0.0488416i
\(217\) 1.30506e6 1.88140
\(218\) −242486. 135132.i −0.345578 0.192583i
\(219\) −221944. + 221944.i −0.312704 + 0.312704i
\(220\) 578020. 162093.i 0.805167 0.225792i
\(221\) −295334. 295334.i −0.406754 0.406754i
\(222\) −847830. + 241032.i −1.15459 + 0.328241i
\(223\) 708720.i 0.954361i 0.878805 + 0.477180i \(0.158341\pi\)
−0.878805 + 0.477180i \(0.841659\pi\)
\(224\) 175387. 932708.i 0.233549 1.24201i
\(225\) −126165. 79297.2i −0.166143 0.104424i
\(226\) 287816. + 1.01239e6i 0.374838 + 1.31849i
\(227\) 86489.9 86489.9i 0.111404 0.111404i −0.649207 0.760611i \(-0.724899\pi\)
0.760611 + 0.649207i \(0.224899\pi\)
\(228\) 228082. 141087.i 0.290572 0.179742i
\(229\) −218491. + 218491.i −0.275324 + 0.275324i −0.831239 0.555915i \(-0.812368\pi\)
0.555915 + 0.831239i \(0.312368\pi\)
\(230\) 926606. + 933262.i 1.15498 + 1.16328i
\(231\) 768405.i 0.947459i
\(232\) −818925. + 37333.9i −0.998905 + 0.0455390i
\(233\) −145626. −0.175731 −0.0878654 0.996132i \(-0.528005\pi\)
−0.0878654 + 0.996132i \(0.528005\pi\)
\(234\) 165282. + 92107.8i 0.197327 + 0.109966i
\(235\) 501141. 276929.i 0.591957 0.327113i
\(236\) 14875.7 63126.2i 0.0173859 0.0737784i
\(237\) 31451.0 31451.0i 0.0363717 0.0363717i
\(238\) 150907. + 530817.i 0.172690 + 0.607438i
\(239\) 117219. 0.132740 0.0663700 0.997795i \(-0.478858\pi\)
0.0663700 + 0.997795i \(0.478858\pi\)
\(240\) 541451. 588931.i 0.606780 0.659988i
\(241\) 636706. 0.706149 0.353075 0.935595i \(-0.385136\pi\)
0.353075 + 0.935595i \(0.385136\pi\)
\(242\) −74919.7 263530.i −0.0822352 0.289262i
\(243\) −251489. + 251489.i −0.273214 + 0.273214i
\(244\) −267410. 63015.2i −0.287543 0.0677596i
\(245\) 271352. + 491050.i 0.288814 + 0.522649i
\(246\) −747151. 416370.i −0.787174 0.438674i
\(247\) −420654. −0.438715
\(248\) 972096. 1.06496e6i 1.00364 1.09953i
\(249\) 484826.i 0.495550i
\(250\) 964244. 216324.i 0.975746 0.218904i
\(251\) −447833. + 447833.i −0.448675 + 0.448675i −0.894914 0.446239i \(-0.852763\pi\)
0.446239 + 0.894914i \(0.352763\pi\)
\(252\) −131519. 212614.i −0.130463 0.210907i
\(253\) −986872. + 986872.i −0.969303 + 0.969303i
\(254\) 27085.7 + 95274.0i 0.0263425 + 0.0926596i
\(255\) −128808. + 446993.i −0.124049 + 0.430478i
\(256\) −630474. 837863.i −0.601266 0.799049i
\(257\) 1.21057e6i 1.14330i −0.820499 0.571648i \(-0.806304\pi\)
0.820499 0.571648i \(-0.193696\pi\)
\(258\) −1.59804e6 + 454311.i −1.49464 + 0.424917i
\(259\) −1.29165e6 1.29165e6i −1.19645 1.19645i
\(260\) −1.20819e6 + 338811.i −1.10841 + 0.310831i
\(261\) −152699. + 152699.i −0.138750 + 0.138750i
\(262\) 841630. + 469021.i 0.757475 + 0.422123i
\(263\) −1.53871e6 −1.37173 −0.685865 0.727729i \(-0.740576\pi\)
−0.685865 + 0.727729i \(0.740576\pi\)
\(264\) 627038. + 572359.i 0.553712 + 0.505427i
\(265\) 557960. 1.93625e6i 0.488077 1.69374i
\(266\) 485502. + 270559.i 0.420714 + 0.234454i
\(267\) −360080. 360080.i −0.309116 0.309116i
\(268\) 289967. 1.23050e6i 0.246610 1.04651i
\(269\) 1.35292e6 + 1.35292e6i 1.13997 + 1.13997i 0.988455 + 0.151512i \(0.0484143\pi\)
0.151512 + 0.988455i \(0.451586\pi\)
\(270\) 4597.64 1.28466e6i 0.00383818 1.07245i
\(271\) −1.01384e6 −0.838585 −0.419293 0.907851i \(-0.637722\pi\)
−0.419293 + 0.907851i \(0.637722\pi\)
\(272\) 545566. + 272243.i 0.447121 + 0.223118i
\(273\) 1.60614e6i 1.30429i
\(274\) 812528. 230996.i 0.653826 0.185878i
\(275\) 233228. + 1.02245e6i 0.185972 + 0.815285i
\(276\) −426599. + 1.81031e6i −0.337091 + 1.43047i
\(277\) 1.23565e6 + 1.23565e6i 0.967604 + 0.967604i 0.999491 0.0318878i \(-0.0101519\pi\)
−0.0318878 + 0.999491i \(0.510152\pi\)
\(278\) −807980. + 1.44987e6i −0.627030 + 1.12517i
\(279\) 379835.i 0.292136i
\(280\) 1.61236e6 + 386048.i 1.22904 + 0.294270i
\(281\) 347325.i 0.262404i 0.991356 + 0.131202i \(0.0418836\pi\)
−0.991356 + 0.131202i \(0.958116\pi\)
\(282\) 707319. + 394173.i 0.529654 + 0.295164i
\(283\) −103590. 103590.i −0.0768867 0.0768867i 0.667618 0.744504i \(-0.267314\pi\)
−0.744504 + 0.667618i \(0.767314\pi\)
\(284\) 288916. + 467062.i 0.212557 + 0.343620i
\(285\) 226601. + 410067.i 0.165253 + 0.299049i
\(286\) −364139. 1.28086e6i −0.263240 0.925948i
\(287\) 1.77260e6i 1.27030i
\(288\) −271463. 51046.1i −0.192854 0.0362645i
\(289\) 1.06532e6 0.750302
\(290\) 5125.25 1.43208e6i 0.00357865 0.999936i
\(291\) −322374. 322374.i −0.223166 0.223166i
\(292\) −611204. + 378079.i −0.419497 + 0.259493i
\(293\) −18953.9 18953.9i −0.0128982 0.0128982i 0.700628 0.713526i \(-0.252903\pi\)
−0.713526 + 0.700628i \(0.752903\pi\)
\(294\) −386235. + 693076.i −0.260606 + 0.467641i
\(295\) 108867. + 31371.8i 0.0728355 + 0.0209886i
\(296\) −2.01612e6 + 91913.0i −1.33748 + 0.0609744i
\(297\) 1.36332e6 0.896820
\(298\) 1.18847e6 2.13264e6i 0.775260 1.39116i
\(299\) 2.06278e6 2.06278e6i 1.33437 1.33437i
\(300\) 981120. + 995266.i 0.629389 + 0.638464i
\(301\) −2.43457e6 2.43457e6i −1.54884 1.54884i
\(302\) −165053. 580573.i −0.104137 0.366302i
\(303\) 1.24048e6i 0.776218i
\(304\) 582417. 194652.i 0.361451 0.120802i
\(305\) 132895. 461176.i 0.0818009 0.283868i
\(306\) 154493. 43921.3i 0.0943203 0.0268146i
\(307\) 692796. 692796.i 0.419527 0.419527i −0.465514 0.885041i \(-0.654131\pi\)
0.885041 + 0.465514i \(0.154131\pi\)
\(308\) −403556. + 1.71252e6i −0.242397 + 1.02863i
\(309\) 881654. 881654.i 0.525294 0.525294i
\(310\) 1.77476e6 + 1.78751e6i 1.04890 + 1.05644i
\(311\) 2.00419e6i 1.17500i −0.809223 0.587501i \(-0.800112\pi\)
0.809223 0.587501i \(-0.199888\pi\)
\(312\) −1.31065e6 1.19636e6i −0.762253 0.695783i
\(313\) 1.12863e6 0.651163 0.325581 0.945514i \(-0.394440\pi\)
0.325581 + 0.945514i \(0.394440\pi\)
\(314\) −840932. + 1.50900e6i −0.481323 + 0.863706i
\(315\) 382258. 211234.i 0.217060 0.119947i
\(316\) 86611.7 53576.4i 0.0487931 0.0301825i
\(317\) 1.63164e6 1.63164e6i 0.911960 0.911960i −0.0844667 0.996426i \(-0.526919\pi\)
0.996426 + 0.0844667i \(0.0269187\pi\)
\(318\) 2.74110e6 779274.i 1.52004 0.432138i
\(319\) 1.51976e6 0.836179
\(320\) 1.51602e6 1.02817e6i 0.827616 0.561294i
\(321\) −310473. −0.168175
\(322\) −3.70753e6 + 1.05402e6i −1.99271 + 0.566514i
\(323\) −252489. + 252489.i −0.134659 + 0.134659i
\(324\) 1.22975e6 760698.i 0.650808 0.402578i
\(325\) −487498. 2.13714e6i −0.256014 1.12234i
\(326\) 783019. 1.40508e6i 0.408064 0.732247i
\(327\) 685817. 0.354682
\(328\) −1.44648e6 1.32035e6i −0.742385 0.677647i
\(329\) 1.67810e6i 0.854727i
\(330\) −1.05246e6 + 1.04496e6i −0.532014 + 0.528219i
\(331\) −284625. + 284625.i −0.142792 + 0.142792i −0.774889 0.632097i \(-0.782194\pi\)
0.632097 + 0.774889i \(0.282194\pi\)
\(332\) −254624. + 1.08052e6i −0.126781 + 0.538006i
\(333\) −375932. + 375932.i −0.185780 + 0.185780i
\(334\) −3.63725e6 + 1.03405e6i −1.78405 + 0.507193i
\(335\) 2.12212e6 + 611520.i 1.03313 + 0.297713i
\(336\) 743216. + 2.22378e6i 0.359142 + 1.07459i
\(337\) 2.40590e6i 1.15399i 0.816746 + 0.576997i \(0.195776\pi\)
−0.816746 + 0.576997i \(0.804224\pi\)
\(338\) 186776. + 656984.i 0.0889261 + 0.312797i
\(339\) −1.83867e6 1.83867e6i −0.868970 0.868970i
\(340\) −521826. + 928554.i −0.244810 + 0.435622i
\(341\) −1.89019e6 + 1.89019e6i −0.880277 + 0.880277i
\(342\) 78745.6 141304.i 0.0364050 0.0653266i
\(343\) 1.10933e6 0.509127
\(344\) −3.80010e6 + 173243.i −1.73141 + 0.0789330i
\(345\) −3.12206e6 899668.i −1.41219 0.406944i
\(346\) −1.92211e6 + 3.44911e6i −0.863154 + 1.54888i
\(347\) 1.00476e6 + 1.00476e6i 0.447958 + 0.447958i 0.894675 0.446717i \(-0.147407\pi\)
−0.446717 + 0.894675i \(0.647407\pi\)
\(348\) 1.72240e6 1.06544e6i 0.762403 0.471609i
\(349\) 1.80200e6 + 1.80200e6i 0.791940 + 0.791940i 0.981809 0.189869i \(-0.0608064\pi\)
−0.189869 + 0.981809i \(0.560806\pi\)
\(350\) −811930. + 2.78015e6i −0.354282 + 1.21311i
\(351\) −2.84963e6 −1.23458
\(352\) 1.09687e6 + 1.60491e6i 0.471843 + 0.690391i
\(353\) 3.43150e6i 1.46571i 0.680387 + 0.732853i \(0.261812\pi\)
−0.680387 + 0.732853i \(0.738188\pi\)
\(354\) 43815.4 + 154121.i 0.0185831 + 0.0653661i
\(355\) −839729. + 464031.i −0.353646 + 0.195423i
\(356\) −613392. 991611.i −0.256515 0.414683i
\(357\) −964050. 964050.i −0.400340 0.400340i
\(358\) 1.73721e6 + 968105.i 0.716380 + 0.399222i
\(359\) 316777.i 0.129723i 0.997894 + 0.0648616i \(0.0206606\pi\)
−0.997894 + 0.0648616i \(0.979339\pi\)
\(360\) 112359. 469273.i 0.0456930 0.190840i
\(361\) 2.11647e6i 0.854760i
\(362\) 2.40257e6 4.31127e6i 0.963618 1.72915i
\(363\) 478614. + 478614.i 0.190642 + 0.190642i
\(364\) 843522. 3.57955e6i 0.333690 1.41604i
\(365\) −607237. 1.09888e6i −0.238576 0.431736i
\(366\) 652874. 185608.i 0.254757 0.0724257i
\(367\) 1.11458e6i 0.431962i 0.976398 + 0.215981i \(0.0692950\pi\)
−0.976398 + 0.215981i \(0.930705\pi\)
\(368\) −1.90150e6 + 3.81054e6i −0.731942 + 1.46679i
\(369\) −515911. −0.197246
\(370\) 12617.9 3.52566e6i 0.00479163 1.33886i
\(371\) 4.17599e6 + 4.17599e6i 1.57516 + 1.57516i
\(372\) −817080. + 3.46734e6i −0.306131 + 1.29909i
\(373\) −2.48426e6 2.48426e6i −0.924540 0.924540i 0.0728059 0.997346i \(-0.476805\pi\)
−0.997346 + 0.0728059i \(0.976805\pi\)
\(374\) −987377. 550242.i −0.365009 0.203411i
\(375\) −1.82074e6 + 1.62648e6i −0.668606 + 0.597270i
\(376\) 1.36937e6 + 1.24996e6i 0.499518 + 0.455959i
\(377\) −3.17664e6 −1.15110
\(378\) 3.28892e6 + 1.83284e6i 1.18393 + 0.659774i
\(379\) −1.78873e6 + 1.78873e6i −0.639658 + 0.639658i −0.950471 0.310813i \(-0.899399\pi\)
0.310813 + 0.950471i \(0.399399\pi\)
\(380\) 289659. + 1.03291e6i 0.102903 + 0.366948i
\(381\) −173033. 173033.i −0.0610685 0.0610685i
\(382\) −2.25064e6 + 639841.i −0.789128 + 0.224344i
\(383\) 1.74920e6i 0.609315i 0.952462 + 0.304657i \(0.0985420\pi\)
−0.952462 + 0.304657i \(0.901458\pi\)
\(384\) 2.36825e6 + 1.04993e6i 0.819596 + 0.363356i
\(385\) −2.95342e6 851073.i −1.01549 0.292627i
\(386\) −526042. 1.85035e6i −0.179702 0.632101i
\(387\) −708577. + 708577.i −0.240497 + 0.240497i
\(388\) −549161. 887774.i −0.185191 0.299380i
\(389\) 4.08115e6 4.08115e6i 1.36744 1.36744i 0.503373 0.864069i \(-0.332092\pi\)
0.864069 0.503373i \(-0.167908\pi\)
\(390\) 2.19988e6 2.18419e6i 0.732383 0.727159i
\(391\) 2.47628e6i 0.819140i
\(392\) −1.22479e6 + 1.34179e6i −0.402574 + 0.441033i
\(393\) −2.38036e6 −0.777429
\(394\) −2.20748e6 1.23018e6i −0.716402 0.399234i
\(395\) 86049.6 + 155719.i 0.0277496 + 0.0502167i
\(396\) 498426. + 117454.i 0.159721 + 0.0376383i
\(397\) −1.35042e6 + 1.35042e6i −0.430024 + 0.430024i −0.888636 0.458612i \(-0.848347\pi\)
0.458612 + 0.888636i \(0.348347\pi\)
\(398\) −1.27340e6 4.47918e6i −0.402956 1.41740i
\(399\) −1.37313e6 −0.431797
\(400\) 1.66390e6 + 2.73340e6i 0.519967 + 0.854186i
\(401\) 2.67527e6 0.830819 0.415409 0.909635i \(-0.363638\pi\)
0.415409 + 0.909635i \(0.363638\pi\)
\(402\) 854079. + 3.00422e6i 0.263592 + 0.927186i
\(403\) 3.95091e6 3.95091e6i 1.21181 1.21181i
\(404\) 651485. 2.76463e6i 0.198587 0.842720i
\(405\) 1.22177e6 + 2.21096e6i 0.370126 + 0.669796i
\(406\) 3.66635e6 + 2.04317e6i 1.10387 + 0.615162i
\(407\) 3.74153e6 1.11960
\(408\) −1.50478e6 + 68601.2i −0.447530 + 0.0204024i
\(409\) 6.03650e6i 1.78434i 0.451703 + 0.892169i \(0.350817\pi\)
−0.451703 + 0.892169i \(0.649183\pi\)
\(410\) 2.42788e6 2.41057e6i 0.713293 0.708205i
\(411\) −1.47568e6 + 1.47568e6i −0.430912 + 0.430912i
\(412\) 2.42795e6 1.50189e6i 0.704689 0.435907i
\(413\) −234799. + 234799.i −0.0677363 + 0.0677363i
\(414\) 306771. + 1.07907e6i 0.0879658 + 0.309419i
\(415\) −1.86346e6 536985.i −0.531130 0.153053i
\(416\) −2.29270e6 3.35462e6i −0.649551 0.950408i
\(417\) 4.10063e6i 1.15481i
\(418\) −1.09504e6 + 311313.i −0.306542 + 0.0871478i
\(419\) −436288. 436288.i −0.121405 0.121405i 0.643794 0.765199i \(-0.277359\pi\)
−0.765199 + 0.643794i \(0.777359\pi\)
\(420\) −3.94386e6 + 1.10597e6i −1.09093 + 0.305929i
\(421\) −984309. + 984309.i −0.270661 + 0.270661i −0.829366 0.558705i \(-0.811298\pi\)
0.558705 + 0.829366i \(0.311298\pi\)
\(422\) −2.03410e6 1.13356e6i −0.556021 0.309858i
\(423\) 488406. 0.132718
\(424\) 6.51827e6 297161.i 1.76083 0.0802744i
\(425\) −1.57539e6 990165.i −0.423072 0.265910i
\(426\) −1.18521e6 660489.i −0.316425 0.176336i
\(427\) 994638. + 994638.i 0.263995 + 0.263995i
\(428\) −691944. 163057.i −0.182584 0.0430258i
\(429\) 2.32625e6 + 2.32625e6i 0.610258 + 0.610258i
\(430\) 23783.0 6.64536e6i 0.00620290 1.73320i
\(431\) 5.09258e6 1.32052 0.660260 0.751037i \(-0.270446\pi\)
0.660260 + 0.751037i \(0.270446\pi\)
\(432\) 3.94545e6 1.31862e6i 1.01716 0.339947i
\(433\) 5.21971e6i 1.33791i 0.743303 + 0.668955i \(0.233258\pi\)
−0.743303 + 0.668955i \(0.766742\pi\)
\(434\) −7.10115e6 + 2.01881e6i −1.80969 + 0.514483i
\(435\) 1.71122e6 + 3.09669e6i 0.433593 + 0.784647i
\(436\) 1.52846e6 + 360182.i 0.385069 + 0.0907415i
\(437\) −1.76353e6 1.76353e6i −0.441752 0.441752i
\(438\) 864325. 1.55098e6i 0.215274 0.386296i
\(439\) 5.84926e6i 1.44857i −0.689501 0.724285i \(-0.742170\pi\)
0.689501 0.724285i \(-0.257830\pi\)
\(440\) −2.89440e6 + 1.77613e6i −0.712733 + 0.437364i
\(441\) 478571.i 0.117179i
\(442\) 2.06383e6 + 1.15013e6i 0.502481 + 0.280021i
\(443\) 1.42750e6 + 1.42750e6i 0.345595 + 0.345595i 0.858466 0.512871i \(-0.171418\pi\)
−0.512871 + 0.858466i \(0.671418\pi\)
\(444\) 4.24039e6 2.62303e6i 1.02082 0.631460i
\(445\) 1.78281e6 985175.i 0.426782 0.235838i
\(446\) −1.09632e6 3.85631e6i −0.260977 0.917984i
\(447\) 6.03168e6i 1.42781i
\(448\) 488488. + 5.34640e6i 0.114990 + 1.25854i
\(449\) −6.76907e6 −1.58458 −0.792288 0.610148i \(-0.791110\pi\)
−0.792288 + 0.610148i \(0.791110\pi\)
\(450\) 809157. + 236310.i 0.188366 + 0.0550112i
\(451\) 2.56735e6 + 2.56735e6i 0.594351 + 0.594351i
\(452\) −3.13215e6 5.06345e6i −0.721102 1.16574i
\(453\) 1.05442e6 + 1.05442e6i 0.241416 + 0.241416i
\(454\) −336820. + 604404.i −0.0766935 + 0.137622i
\(455\) 6.17330e6 + 1.77893e6i 1.39794 + 0.402838i
\(456\) −1.02280e6 + 1.12051e6i −0.230345 + 0.252350i
\(457\) −3.13327e6 −0.701790 −0.350895 0.936415i \(-0.614123\pi\)
−0.350895 + 0.936415i \(0.614123\pi\)
\(458\) 850875. 1.52684e6i 0.189541 0.340119i
\(459\) −1.71043e6 + 1.71043e6i −0.378943 + 0.378943i
\(460\) −6.48555e6 3.64473e6i −1.42907 0.803102i
\(461\) 1.55863e6 + 1.55863e6i 0.341579 + 0.341579i 0.856961 0.515382i \(-0.172350\pi\)
−0.515382 + 0.856961i \(0.672350\pi\)
\(462\) −1.18865e6 4.18108e6i −0.259089 0.911346i
\(463\) 4.60180e6i 0.997643i −0.866705 0.498822i \(-0.833766\pi\)
0.866705 0.498822i \(-0.166234\pi\)
\(464\) 4.39821e6 1.46994e6i 0.948378 0.316961i
\(465\) −5.97978e6 1.72317e6i −1.28249 0.369568i
\(466\) 792384. 225269.i 0.169033 0.0480548i
\(467\) 1.16841e6 1.16841e6i 0.247915 0.247915i −0.572199 0.820115i \(-0.693910\pi\)
0.820115 + 0.572199i \(0.193910\pi\)
\(468\) −1.04182e6 245505.i −0.219876 0.0518138i
\(469\) −4.57686e6 + 4.57686e6i −0.960806 + 0.960806i
\(470\) −2.29845e6 + 2.28205e6i −0.479943 + 0.476520i
\(471\) 4.26787e6i 0.886459i
\(472\) 16708.2 + 366496.i 0.00345202 + 0.0757206i
\(473\) 7.05224e6 1.44935
\(474\) −122481. + 219784.i −0.0250393 + 0.0449315i
\(475\) −1.82710e6 + 416775.i −0.371560 + 0.0847555i
\(476\) −1.64225e6 2.65486e6i −0.332216 0.537062i
\(477\) 1.21541e6 1.21541e6i 0.244584 0.244584i
\(478\) −637814. + 181326.i −0.127680 + 0.0362987i
\(479\) −4.22399e6 −0.841170 −0.420585 0.907253i \(-0.638175\pi\)
−0.420585 + 0.907253i \(0.638175\pi\)
\(480\) −2.03514e6 + 4.04209e6i −0.403174 + 0.800760i
\(481\) −7.82062e6 −1.54127
\(482\) −3.46447e6 + 984925.i −0.679234 + 0.193102i
\(483\) 6.73348e6 6.73348e6i 1.31332 1.31332i
\(484\) 815312. + 1.31804e6i 0.158202 + 0.255749i
\(485\) 1.59613e6 882013.i 0.308115 0.170263i
\(486\) 979381. 1.75744e6i 0.188088 0.337512i
\(487\) −1.97208e6 −0.376793 −0.188396 0.982093i \(-0.560329\pi\)
−0.188396 + 0.982093i \(0.560329\pi\)
\(488\) 1.55252e6 70777.8i 0.295113 0.0134539i
\(489\) 3.97395e6i 0.751537i
\(490\) −2.23610e6 2.25216e6i −0.420728 0.423750i
\(491\) −4.36328e6 + 4.36328e6i −0.816788 + 0.816788i −0.985641 0.168853i \(-0.945994\pi\)
0.168853 + 0.985641i \(0.445994\pi\)
\(492\) 4.70951e6 + 1.10980e6i 0.877129 + 0.206695i
\(493\) −1.90671e6 + 1.90671e6i −0.353320 + 0.353320i
\(494\) 2.28888e6 650713.i 0.421993 0.119970i
\(495\) −247703. + 859586.i −0.0454379 + 0.157680i
\(496\) −3.64201e6 + 7.29846e6i −0.664717 + 1.33207i
\(497\) 2.81188e6i 0.510629i
\(498\) −749980. 2.63805e6i −0.135512 0.476662i
\(499\) −4.15338e6 4.15338e6i −0.746706 0.746706i 0.227153 0.973859i \(-0.427058\pi\)
−0.973859 + 0.227153i \(0.927058\pi\)
\(500\) −4.91205e6 + 2.66866e6i −0.878694 + 0.477385i
\(501\) 6.60585e6 6.60585e6i 1.17580 1.17580i
\(502\) 1.74401e6 3.12952e6i 0.308880 0.554266i
\(503\) −932727. −0.164375 −0.0821873 0.996617i \(-0.526191\pi\)
−0.0821873 + 0.996617i \(0.526191\pi\)
\(504\) 1.04452e6 + 953437.i 0.183164 + 0.167192i
\(505\) 4.76788e6 + 1.37394e6i 0.831949 + 0.239739i
\(506\) 3.84321e6 6.89640e6i 0.667294 1.19742i
\(507\) −1.19319e6 1.19319e6i −0.206153 0.206153i
\(508\) −294760. 476510.i −0.0506768 0.0819242i
\(509\) 7.04290e6 + 7.04290e6i 1.20492 + 1.20492i 0.972653 + 0.232263i \(0.0746130\pi\)
0.232263 + 0.972653i \(0.425387\pi\)
\(510\) 9417.66 2.63145e6i 0.00160331 0.447992i
\(511\) 3.67966e6 0.623384
\(512\) 4.72665e6 + 3.58373e6i 0.796854 + 0.604172i
\(513\) 2.43623e6i 0.408719i
\(514\) 1.87265e6 + 6.58703e6i 0.312642 + 1.09972i
\(515\) 2.41220e6 + 4.36521e6i 0.400769 + 0.725248i
\(516\) 7.99253e6 4.94403e6i 1.32148 0.817442i
\(517\) −2.43048e6 2.43048e6i −0.399912 0.399912i
\(518\) 9.02624e6 + 5.03011e6i 1.47803 + 0.823670i
\(519\) 9.75503e6i 1.58968i
\(520\) 6.04993e6 3.71250e6i 0.981165 0.602086i
\(521\) 1.66237e6i 0.268307i −0.990961 0.134154i \(-0.957168\pi\)
0.990961 0.134154i \(-0.0428315\pi\)
\(522\) 594660. 1.06708e6i 0.0955196 0.171404i
\(523\) −4.48967e6 4.48967e6i −0.717728 0.717728i 0.250412 0.968139i \(-0.419434\pi\)
−0.968139 + 0.250412i \(0.919434\pi\)
\(524\) −5.30504e6 1.25013e6i −0.844035 0.198897i
\(525\) −1.59133e6 6.97621e6i −0.251977 1.10464i
\(526\) 8.37252e6 2.38025e6i 1.31945 0.375109i
\(527\) 4.74291e6i 0.743906i
\(528\) −4.29725e6 2.14437e6i −0.670820 0.334746i
\(529\) 1.08594e7 1.68720
\(530\) −40794.6 + 1.13987e7i −0.00630832 + 1.76265i
\(531\) 68337.8 + 68337.8i 0.0105178 + 0.0105178i
\(532\) −3.06026e6 721150.i −0.468791 0.110471i
\(533\) −5.36632e6 5.36632e6i −0.818198 0.818198i
\(534\) 2.51629e6 + 1.40227e6i 0.381863 + 0.212804i
\(535\) 343875. 1.19333e6i 0.0519417 0.180250i
\(536\) 325686. + 7.14398e6i 0.0489652 + 1.07406i
\(537\) −4.91329e6 −0.735253
\(538\) −9.45442e6 5.26873e6i −1.40825 0.784785i
\(539\) 2.38153e6 2.38153e6i 0.353090 0.353090i
\(540\) 1.96223e6 + 6.99724e6i 0.289578 + 1.03263i
\(541\) 6.23116e6 + 6.23116e6i 0.915326 + 0.915326i 0.996685 0.0813592i \(-0.0259261\pi\)
−0.0813592 + 0.996685i \(0.525926\pi\)
\(542\) 5.51656e6 1.56832e6i 0.806622 0.229317i
\(543\) 1.21934e7i 1.77471i
\(544\) −3.38969e6 637400.i −0.491091 0.0923453i
\(545\) −759599. + 2.63599e6i −0.109545 + 0.380147i
\(546\) 2.48454e6 + 8.73937e6i 0.356668 + 1.25458i
\(547\) −9.49271e6 + 9.49271e6i −1.35651 + 1.35651i −0.478323 + 0.878184i \(0.658755\pi\)
−0.878184 + 0.478323i \(0.841245\pi\)
\(548\) −4.06383e6 + 2.51381e6i −0.578075 + 0.357586i
\(549\) 289487. 289487.i 0.0409919 0.0409919i
\(550\) −2.85068e6 5.20260e6i −0.401829 0.733354i
\(551\) 2.71580e6i 0.381082i
\(552\) −479150. 1.05102e7i −0.0669304 1.46813i
\(553\) −521433. −0.0725079
\(554\) −8.63493e6 4.81205e6i −1.19532 0.666125i
\(555\) 4.21287e6 + 7.62379e6i 0.580558 + 1.05060i
\(556\) 2.15360e6 9.13896e6i 0.295445 1.25375i
\(557\) −4.42158e6 + 4.42158e6i −0.603864 + 0.603864i −0.941336 0.337471i \(-0.890428\pi\)
0.337471 + 0.941336i \(0.390428\pi\)
\(558\) 587570. + 2.06677e6i 0.0798866 + 0.281001i
\(559\) −1.47407e7 −1.99522
\(560\) −9.37041e6 + 393587.i −1.26267 + 0.0530360i
\(561\) 2.79257e6 0.374625
\(562\) −537279. 1.88988e6i −0.0717561 0.252402i
\(563\) −6.86061e6 + 6.86061e6i −0.912203 + 0.912203i −0.996445 0.0842422i \(-0.973153\pi\)
0.0842422 + 0.996445i \(0.473153\pi\)
\(564\) −4.45844e6 1.05063e6i −0.590181 0.139076i
\(565\) 9.10355e6 5.03058e6i 1.19975 0.662975i
\(566\) 723901. + 403413.i 0.0949813 + 0.0529309i
\(567\) −7.40350e6 −0.967118
\(568\) −2.29456e6 2.09447e6i −0.298421 0.272398i
\(569\) 8.36508e6i 1.08315i −0.840652 0.541576i \(-0.817828\pi\)
0.840652 0.541576i \(-0.182172\pi\)
\(570\) −1.86733e6 1.88074e6i −0.240732 0.242461i
\(571\) 1.99214e6 1.99214e6i 0.255700 0.255700i −0.567603 0.823302i \(-0.692129\pi\)
0.823302 + 0.567603i \(0.192129\pi\)
\(572\) 3.96274e6 + 6.40617e6i 0.506414 + 0.818670i
\(573\) 4.08753e6 4.08753e6i 0.520085 0.520085i
\(574\) 2.74204e6 + 9.64513e6i 0.347372 + 1.22188i
\(575\) 6.91587e6 1.10034e7i 0.872323 1.38790i
\(576\) 1.55606e6 142173.i 0.195420 0.0178551i
\(577\) 1.28538e7i 1.60728i 0.595116 + 0.803640i \(0.297106\pi\)
−0.595116 + 0.803640i \(0.702894\pi\)
\(578\) −5.79667e6 + 1.64795e6i −0.721703 + 0.205175i
\(579\) 3.36054e6 + 3.36054e6i 0.416594 + 0.416594i
\(580\) 2.18741e6 + 7.80022e6i 0.269997 + 0.962801i
\(581\) 4.01901e6 4.01901e6i 0.493945 0.493945i
\(582\) 2.25280e6 + 1.25543e6i 0.275686 + 0.153634i
\(583\) −1.20966e7 −1.47398
\(584\) 2.74085e6 3.00269e6i 0.332547 0.364317i
\(585\) 517753. 1.79672e6i 0.0625509 0.217066i
\(586\) 132452. + 73812.6i 0.0159337 + 0.00887946i
\(587\) 2.91883e6 + 2.91883e6i 0.349634 + 0.349634i 0.859973 0.510339i \(-0.170480\pi\)
−0.510339 + 0.859973i \(0.670480\pi\)
\(588\) 1.02948e6 4.36866e6i 0.122793 0.521081i
\(589\) −3.37775e6 3.37775e6i −0.401180 0.401180i
\(590\) −640903. 2293.72i −0.0757988 0.000271275i
\(591\) 6.24336e6 0.735275
\(592\) 1.08280e7 3.61888e6i 1.26983 0.424394i
\(593\) 8.87365e6i 1.03625i −0.855304 0.518126i \(-0.826630\pi\)
0.855304 0.518126i \(-0.173370\pi\)
\(594\) −7.41812e6 + 2.10892e6i −0.862637 + 0.245242i
\(595\) 4.77316e6 2.63763e6i 0.552731 0.305437i
\(596\) −3.16776e6 + 1.34426e7i −0.365289 + 1.55013i
\(597\) 8.13493e6 + 8.13493e6i 0.934153 + 0.934153i
\(598\) −8.03315e6 + 1.44150e7i −0.918613 + 1.64840i
\(599\) 1.22845e7i 1.39891i −0.714674 0.699457i \(-0.753425\pi\)
0.714674 0.699457i \(-0.246575\pi\)
\(600\) −6.87809e6 3.89778e6i −0.779991 0.442017i
\(601\) 1.98834e6i 0.224546i −0.993677 0.112273i \(-0.964187\pi\)
0.993677 0.112273i \(-0.0358131\pi\)
\(602\) 1.70132e7 + 9.48104e6i 1.91335 + 1.06626i
\(603\) 1.33208e6 + 1.33208e6i 0.149190 + 0.149190i
\(604\) 1.79618e6 + 2.90371e6i 0.200336 + 0.323863i
\(605\) −2.36969e6 + 1.30948e6i −0.263211 + 0.145449i
\(606\) 1.91891e6 + 6.74976e6i 0.212262 + 0.746632i
\(607\) 1.23636e7i 1.36198i −0.732291 0.680992i \(-0.761549\pi\)
0.732291 0.680992i \(-0.238451\pi\)
\(608\) −2.86796e6 + 1.96009e6i −0.314640 + 0.215039i
\(609\) −1.03694e7 −1.13295
\(610\) −9716.46 + 2.71494e6i −0.00105726 + 0.295417i
\(611\) 5.08023e6 + 5.08023e6i 0.550529 + 0.550529i
\(612\) −772691. + 477972.i −0.0833926 + 0.0515851i
\(613\) −3.15327e6 3.15327e6i −0.338930 0.338930i 0.517035 0.855964i \(-0.327036\pi\)
−0.855964 + 0.517035i \(0.827036\pi\)
\(614\) −2.69798e6 + 4.84136e6i −0.288813 + 0.518258i
\(615\) −2.34049e6 + 8.12203e6i −0.249527 + 0.865918i
\(616\) −453269. 9.94252e6i −0.0481287 1.05571i
\(617\) 8.75164e6 0.925500 0.462750 0.886489i \(-0.346863\pi\)
0.462750 + 0.886489i \(0.346863\pi\)
\(618\) −3.43345e6 + 6.16113e6i −0.361626 + 0.648917i
\(619\) −493918. + 493918.i −0.0518117 + 0.0518117i −0.732538 0.680726i \(-0.761664\pi\)
0.680726 + 0.732538i \(0.261664\pi\)
\(620\) −1.24220e7 6.98088e6i −1.29781 0.729341i
\(621\) −1.19466e7 1.19466e7i −1.24313 1.24313i
\(622\) 3.10030e6 + 1.09053e7i 0.321313 + 1.13022i
\(623\) 5.96984e6i 0.616230i
\(624\) 8.98220e6 + 4.48221e6i 0.923466 + 0.460819i
\(625\) −4.23487e6 8.79962e6i −0.433651 0.901081i
\(626\) −6.14113e6 + 1.74588e6i −0.626343 + 0.178065i
\(627\) 1.98878e6 1.98878e6i 0.202031 0.202031i
\(628\) 2.24143e6 9.51169e6i 0.226791 0.962406i
\(629\) −4.69417e6 + 4.69417e6i −0.473077 + 0.473077i
\(630\) −1.75320e6 + 1.74069e6i −0.175987 + 0.174731i
\(631\) 1.18020e7i 1.18000i 0.807405 + 0.589998i \(0.200872\pi\)
−0.807405 + 0.589998i \(0.799128\pi\)
\(632\) −388397. + 425502.i −0.0386797 + 0.0423749i
\(633\) 5.75298e6 0.570668
\(634\) −6.35414e6 + 1.14021e7i −0.627818 + 1.12658i
\(635\) 856715. 473417.i 0.0843144 0.0465918i
\(636\) −1.37095e7 + 8.48044e6i −1.34394 + 0.831334i
\(637\) −4.97793e6 + 4.97793e6i −0.486072 + 0.486072i
\(638\) −8.26939e6 + 2.35093e6i −0.804307 + 0.228659i
\(639\) −818390. −0.0792882
\(640\) −6.65852e6 + 7.93966e6i −0.642581 + 0.766218i
\(641\) −3.59254e6 −0.345348 −0.172674 0.984979i \(-0.555241\pi\)
−0.172674 + 0.984979i \(0.555241\pi\)
\(642\) 1.68936e6 480273.i 0.161765 0.0459887i
\(643\) 1.33720e7 1.33720e7i 1.27546 1.27546i 0.332283 0.943180i \(-0.392181\pi\)
0.943180 0.332283i \(-0.107819\pi\)
\(644\) 1.85431e7 1.14704e7i 1.76184 1.08984i
\(645\) 7.94066e6 + 1.43697e7i 0.751549 + 1.36003i
\(646\) 983276. 1.76443e6i 0.0927031 0.166350i
\(647\) −1.96424e7 −1.84474 −0.922368 0.386313i \(-0.873748\pi\)
−0.922368 + 0.386313i \(0.873748\pi\)
\(648\) −5.51461e6 + 6.04144e6i −0.515914 + 0.565201i
\(649\) 680144.i 0.0633854i
\(650\) 5.95855e6 + 1.08746e7i 0.553168 + 1.00955i
\(651\) 1.28969e7 1.28969e7i 1.19270 1.19270i
\(652\) −2.08707e6 + 8.85664e6i −0.192273 + 0.815924i
\(653\) 8.31532e6 8.31532e6i 0.763125 0.763125i −0.213761 0.976886i \(-0.568571\pi\)
0.976886 + 0.213761i \(0.0685713\pi\)
\(654\) −3.73169e6 + 1.06089e6i −0.341163 + 0.0969902i
\(655\) 2.63645e6 9.14908e6i 0.240113 0.833248i
\(656\) 9.91312e6 + 4.94675e6i 0.899396 + 0.448808i
\(657\) 1.07096e6i 0.0967962i
\(658\) −2.59586e6 9.13093e6i −0.233731 0.822148i
\(659\) −581499. 581499.i −0.0521597 0.0521597i 0.680546 0.732706i \(-0.261743\pi\)
−0.732706 + 0.680546i \(0.761743\pi\)
\(660\) 4.11026e6 7.31393e6i 0.367290 0.653568i
\(661\) 3.80968e6 3.80968e6i 0.339144 0.339144i −0.516901 0.856045i \(-0.672914\pi\)
0.856045 + 0.516901i \(0.172914\pi\)
\(662\) 1.10842e6 1.98900e6i 0.0983016 0.176396i
\(663\) −5.83708e6 −0.515718
\(664\) −285990. 6.27324e6i −0.0251728 0.552169i
\(665\) 1.52086e6 5.27773e6i 0.133363 0.462799i
\(666\) 1.46400e6 2.62707e6i 0.127896 0.229501i
\(667\) −1.33176e7 1.33176e7i −1.15907 1.15907i
\(668\) 1.81916e7 1.12530e7i 1.57735 0.975722i
\(669\) 7.00370e6 + 7.00370e6i 0.605010 + 0.605010i
\(670\) −1.24929e7 44710.6i −1.07517 0.00384790i
\(671\) −2.88117e6 −0.247038
\(672\) −7.48399e6 1.09504e7i −0.639308 0.935421i
\(673\) 7.04618e6i 0.599675i 0.953990 + 0.299837i \(0.0969324\pi\)
−0.953990 + 0.299837i \(0.903068\pi\)
\(674\) −3.72171e6 1.30911e7i −0.315568 1.11001i
\(675\) −1.23773e7 + 2.82335e6i −1.04560 + 0.238509i
\(676\) −2.03259e6 3.28588e6i −0.171073 0.276557i
\(677\) 3.32338e6 + 3.32338e6i 0.278682 + 0.278682i 0.832583 0.553901i \(-0.186861\pi\)
−0.553901 + 0.832583i \(0.686861\pi\)
\(678\) 1.28489e7 + 7.16040e6i 1.07347 + 0.598223i
\(679\) 5.34471e6i 0.444887i
\(680\) 1.40299e6 5.85970e6i 0.116354 0.485963i
\(681\) 1.70942e6i 0.141247i
\(682\) 7.36103e6 1.32089e7i 0.606007 1.08744i
\(683\) 5.72466e6 + 5.72466e6i 0.469568 + 0.469568i 0.901775 0.432207i \(-0.142265\pi\)
−0.432207 + 0.901775i \(0.642265\pi\)
\(684\) −209889. + 890682.i −0.0171534 + 0.0727918i
\(685\) −4.03746e6 7.30634e6i −0.328762 0.594941i
\(686\) −6.03614e6 + 1.71603e6i −0.489721 + 0.139224i
\(687\) 4.31833e6i 0.349079i
\(688\) 2.04093e7 6.82106e6i 1.64383 0.549390i
\(689\) 2.52846e7 2.02912
\(690\) 1.83796e7 + 65778.3i 1.46964 + 0.00525968i
\(691\) −5.74923e6 5.74923e6i −0.458052 0.458052i 0.439964 0.898016i \(-0.354991\pi\)
−0.898016 + 0.439964i \(0.854991\pi\)
\(692\) 5.12321e6 2.17408e7i 0.406703 1.72588i
\(693\) −1.85391e6 1.85391e6i −0.146641 0.146641i
\(694\) −7.02139e6 3.91286e6i −0.553381 0.308387i
\(695\) 1.57611e7 + 4.54179e6i 1.23772 + 0.356668i
\(696\) −7.72383e6 + 8.46171e6i −0.604379 + 0.662117i
\(697\) −6.44205e6 −0.502275
\(698\) −1.25927e7 7.01760e6i −0.978316 0.545193i
\(699\) −1.43910e6 + 1.43910e6i −0.111403 + 0.111403i
\(700\) 117270. 1.63835e7i 0.00904572 1.26375i
\(701\) 2.26596e6 + 2.26596e6i 0.174163 + 0.174163i 0.788806 0.614642i \(-0.210700\pi\)
−0.614642 + 0.788806i \(0.710700\pi\)
\(702\) 1.55055e7 4.40811e6i 1.18753 0.337605i
\(703\) 6.68607e6i 0.510249i
\(704\) −8.45097e6 7.03597e6i −0.642651 0.535047i
\(705\) 2.21571e6 7.68903e6i 0.167896 0.582638i
\(706\) −5.30821e6 1.86716e7i −0.400808 1.40984i
\(707\) −1.02831e7 + 1.02831e7i −0.773705 + 0.773705i
\(708\) −476820. 770829.i −0.0357496 0.0577929i
\(709\) 3.48993e6 3.48993e6i 0.260736 0.260736i −0.564617 0.825353i \(-0.690976\pi\)
0.825353 + 0.564617i \(0.190976\pi\)
\(710\) 3.85135e6 3.82389e6i 0.286726 0.284681i
\(711\) 151762.i 0.0112587i
\(712\) 4.87154e6 + 4.44673e6i 0.360136 + 0.328731i
\(713\) 3.31272e7 2.44040
\(714\) 6.73692e6 + 3.75433e6i 0.494557 + 0.275605i
\(715\) −1.15176e7 + 6.36460e6i −0.842555 + 0.465592i
\(716\) −1.09501e7 2.58039e6i −0.798245 0.188106i
\(717\) 1.15838e6 1.15838e6i 0.0841495 0.0841495i
\(718\) −490024. 1.72366e6i −0.0354737 0.124779i
\(719\) 1.18415e7 0.854249 0.427124 0.904193i \(-0.359527\pi\)
0.427124 + 0.904193i \(0.359527\pi\)
\(720\) 114553. + 2.72724e6i 0.00823520 + 0.196061i
\(721\) −1.46171e7 −1.04719
\(722\) 3.27398e6 + 1.15162e7i 0.233740 + 0.822180i
\(723\) 6.29205e6 6.29205e6i 0.447658 0.447658i
\(724\) −6.40383e6 + 2.71752e7i −0.454039 + 1.92675i
\(725\) −1.37977e7 + 3.14735e6i −0.974901 + 0.222382i
\(726\) −3.34462e6 1.86388e6i −0.235508 0.131243i
\(727\) 1.67492e7 1.17533 0.587663 0.809106i \(-0.300048\pi\)
0.587663 + 0.809106i \(0.300048\pi\)
\(728\) 947432. + 2.07821e7i 0.0662551 + 1.45332i
\(729\) 1.59511e7i 1.11166i
\(730\) 5.00399e6 + 5.03993e6i 0.347543 + 0.350040i
\(731\) −8.84783e6 + 8.84783e6i −0.612411 + 0.612411i
\(732\) −3.26533e6 + 2.01987e6i −0.225242 + 0.139330i
\(733\) −1.86231e6 + 1.86231e6i −0.128024 + 0.128024i −0.768215 0.640191i \(-0.778855\pi\)
0.640191 + 0.768215i \(0.278855\pi\)
\(734\) −1.72415e6 6.06469e6i −0.118123 0.415498i
\(735\) 7.53420e6 + 2.17109e6i 0.514421 + 0.148238i
\(736\) 4.45196e6 2.36755e7i 0.302940 1.61103i
\(737\) 1.32578e7i 0.899090i
\(738\) 2.80719e6 798065.i 0.189728 0.0539383i
\(739\) −2.97620e6 2.97620e6i −0.200471 0.200471i 0.599731 0.800202i \(-0.295274\pi\)
−0.800202 + 0.599731i \(0.795274\pi\)
\(740\) 5.38521e6 + 1.92035e7i 0.361513 + 1.28914i
\(741\) −4.15698e6 + 4.15698e6i −0.278120 + 0.278120i
\(742\) −2.91825e7 1.62627e7i −1.94586 1.08438i
\(743\) −5.66812e6 −0.376675 −0.188338 0.982104i \(-0.560310\pi\)
−0.188338 + 0.982104i \(0.560310\pi\)
\(744\) −917732. 2.01306e7i −0.0607832 1.33329i
\(745\) −2.31832e7 6.68058e6i −1.53032 0.440985i
\(746\) 1.73604e7 + 9.67455e6i 1.14212 + 0.636479i
\(747\) −1.16972e6 1.16972e6i −0.0766976 0.0766976i
\(748\) 6.22373e6 + 1.46662e6i 0.406721 + 0.0958438i
\(749\) 2.57370e6 + 2.57370e6i 0.167631 + 0.167631i
\(750\) 7.39109e6 1.16666e7i 0.479794 0.757340i
\(751\) −2.91172e7 −1.88386 −0.941931 0.335806i \(-0.890991\pi\)
−0.941931 + 0.335806i \(0.890991\pi\)
\(752\) −9.38463e6 4.68303e6i −0.605163 0.301983i
\(753\) 8.85113e6i 0.568868i
\(754\) 1.72849e7 4.91396e6i 1.10723 0.314777i
\(755\) −5.22058e6 + 2.88487e6i −0.333312 + 0.184187i
\(756\) −2.07311e7 4.88527e6i −1.31922 0.310874i
\(757\) 1.10040e7 + 1.10040e7i 0.697929 + 0.697929i 0.963963 0.266035i \(-0.0857136\pi\)
−0.266035 + 0.963963i \(0.585714\pi\)
\(758\) 6.96592e6 1.24999e7i 0.440358 0.790196i
\(759\) 1.95049e7i 1.22896i
\(760\) −3.17392e6 5.17226e6i −0.199325 0.324822i
\(761\) 1.24303e7i