Properties

Label 43.6.e.a.4.17
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.17
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.17

$q$-expansion

\(f(q)\) \(=\) \(q+(6.33304 - 7.94138i) q^{2} +(4.01851 + 5.03906i) q^{3} +(-15.8374 - 69.3884i) q^{4} +(-53.4066 - 25.7193i) q^{5} +65.4665 q^{6} -5.04361 q^{7} +(-358.491 - 172.640i) q^{8} +(44.8289 - 196.408i) q^{9} +O(q^{10})\) \(q+(6.33304 - 7.94138i) q^{2} +(4.01851 + 5.03906i) q^{3} +(-15.8374 - 69.3884i) q^{4} +(-53.4066 - 25.7193i) q^{5} +65.4665 q^{6} -5.04361 q^{7} +(-358.491 - 172.640i) q^{8} +(44.8289 - 196.408i) q^{9} +(-542.472 + 261.241i) q^{10} +(62.1446 - 272.273i) q^{11} +(286.009 - 358.644i) q^{12} +(1004.45 + 483.716i) q^{13} +(-31.9413 + 40.0532i) q^{14} +(-85.0143 - 372.472i) q^{15} +(-1589.35 + 765.390i) q^{16} +(148.218 - 71.3780i) q^{17} +(-1275.85 - 1599.87i) q^{18} +(355.367 + 1556.97i) q^{19} +(-938.794 + 4113.12i) q^{20} +(-20.2678 - 25.4150i) q^{21} +(-1768.66 - 2217.83i) q^{22} +(-408.722 + 1790.73i) q^{23} +(-570.657 - 2500.21i) q^{24} +(242.377 + 303.931i) q^{25} +(10202.6 - 4913.30i) q^{26} +(2580.94 - 1242.92i) q^{27} +(79.8779 + 349.968i) q^{28} +(-929.436 + 1165.48i) q^{29} +(-3496.34 - 1683.75i) q^{30} +(5257.60 - 6592.82i) q^{31} +(-1153.88 + 5055.47i) q^{32} +(1621.73 - 780.984i) q^{33} +(371.830 - 1629.09i) q^{34} +(269.362 + 129.718i) q^{35} -14338.4 q^{36} -543.788 q^{37} +(14615.0 + 7038.22i) q^{38} +(1598.91 + 7005.28i) q^{39} +(14705.6 + 18440.2i) q^{40} +(-9978.85 + 12513.1i) q^{41} -330.187 q^{42} +(11158.6 - 4742.70i) q^{43} -19876.8 q^{44} +(-7445.64 + 9336.54i) q^{45} +(11632.4 + 14586.6i) q^{46} +(-3292.01 - 14423.2i) q^{47} +(-10243.7 - 4933.09i) q^{48} -16781.6 q^{49} +3948.61 q^{50} +(955.294 + 460.045i) q^{51} +(17656.4 - 77357.8i) q^{52} +(6167.49 - 2970.10i) q^{53} +(6474.73 - 28367.7i) q^{54} +(-10321.6 + 12942.9i) q^{55} +(1808.08 + 870.728i) q^{56} +(-6417.59 + 8047.41i) q^{57} +(3369.33 + 14762.0i) q^{58} +(-31709.8 + 15270.6i) q^{59} +(-24498.8 + 11798.0i) q^{60} +(28361.0 + 35563.6i) q^{61} +(-19059.5 - 83505.2i) q^{62} +(-226.100 + 990.607i) q^{63} +(-2355.78 - 2954.06i) q^{64} +(-41203.2 - 51667.2i) q^{65} +(4068.39 - 17824.8i) q^{66} +(10532.1 + 46144.1i) q^{67} +(-7300.20 - 9154.16i) q^{68} +(-10666.0 + 5136.49i) q^{69} +(2736.02 - 1317.60i) q^{70} +(6500.24 + 28479.4i) q^{71} +(-49978.7 + 62671.3i) q^{72} +(37938.5 + 18270.2i) q^{73} +(-3443.83 + 4318.43i) q^{74} +(-557.530 + 2442.70i) q^{75} +(102407. - 49316.8i) q^{76} +(-313.433 + 1373.24i) q^{77} +(65757.6 + 31667.2i) q^{78} -47460.8 q^{79} +104567. q^{80} +(-27471.9 - 13229.8i) q^{81} +(36174.7 + 158492. i) q^{82} +(-37806.9 - 47408.4i) q^{83} +(-1442.52 + 1808.86i) q^{84} -9751.61 q^{85} +(33004.5 - 118651. i) q^{86} -9607.85 q^{87} +(-69283.5 + 86878.8i) q^{88} +(66286.7 + 83120.9i) q^{89} +(26991.4 + 118257. i) q^{90} +(-5066.03 - 2439.67i) q^{91} +130729. q^{92} +54349.3 q^{93} +(-135389. - 65199.8i) q^{94} +(21065.1 - 92292.0i) q^{95} +(-30111.7 + 14501.0i) q^{96} +(4009.60 - 17567.2i) q^{97} +(-106278. + 133269. i) q^{98} +(-50690.9 - 24411.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.33304 7.94138i 1.11953 1.40385i 0.215439 0.976517i \(-0.430882\pi\)
0.904094 0.427333i \(-0.140547\pi\)
\(3\) 4.01851 + 5.03906i 0.257788 + 0.323256i 0.893836 0.448393i \(-0.148004\pi\)
−0.636049 + 0.771649i \(0.719432\pi\)
\(4\) −15.8374 69.3884i −0.494920 2.16839i
\(5\) −53.4066 25.7193i −0.955366 0.460080i −0.109802 0.993954i \(-0.535022\pi\)
−0.845564 + 0.533874i \(0.820736\pi\)
\(6\) 65.4665 0.742405
\(7\) −5.04361 −0.0389042 −0.0194521 0.999811i \(-0.506192\pi\)
−0.0194521 + 0.999811i \(0.506192\pi\)
\(8\) −358.491 172.640i −1.98040 0.953710i
\(9\) 44.8289 196.408i 0.184481 0.808265i
\(10\) −542.472 + 261.241i −1.71545 + 0.826116i
\(11\) 62.1446 272.273i 0.154854 0.678459i −0.836580 0.547846i \(-0.815448\pi\)
0.991433 0.130614i \(-0.0416947\pi\)
\(12\) 286.009 358.644i 0.573359 0.718970i
\(13\) 1004.45 + 483.716i 1.64842 + 0.793838i 0.999455 + 0.0330227i \(0.0105134\pi\)
0.648968 + 0.760816i \(0.275201\pi\)
\(14\) −31.9413 + 40.0532i −0.0435545 + 0.0546156i
\(15\) −85.0143 372.472i −0.0975582 0.427430i
\(16\) −1589.35 + 765.390i −1.55210 + 0.747451i
\(17\) 148.218 71.3780i 0.124388 0.0599021i −0.370655 0.928771i \(-0.620867\pi\)
0.495043 + 0.868869i \(0.335152\pi\)
\(18\) −1275.85 1599.87i −0.928151 1.16386i
\(19\) 355.367 + 1556.97i 0.225836 + 0.989453i 0.952995 + 0.302984i \(0.0979830\pi\)
−0.727159 + 0.686469i \(0.759160\pi\)
\(20\) −938.794 + 4113.12i −0.524802 + 2.29931i
\(21\) −20.2678 25.4150i −0.0100290 0.0125760i
\(22\) −1768.66 2217.83i −0.779091 0.976949i
\(23\) −408.722 + 1790.73i −0.161105 + 0.705846i 0.828254 + 0.560352i \(0.189334\pi\)
−0.989359 + 0.145494i \(0.953523\pi\)
\(24\) −570.657 2500.21i −0.202231 0.886030i
\(25\) 242.377 + 303.931i 0.0775605 + 0.0972578i
\(26\) 10202.6 4913.30i 2.95989 1.42541i
\(27\) 2580.94 1242.92i 0.681347 0.328120i
\(28\) 79.8779 + 349.968i 0.0192545 + 0.0843593i
\(29\) −929.436 + 1165.48i −0.205222 + 0.257341i −0.873782 0.486318i \(-0.838340\pi\)
0.668560 + 0.743658i \(0.266911\pi\)
\(30\) −3496.34 1683.75i −0.709268 0.341566i
\(31\) 5257.60 6592.82i 0.982615 1.23216i 0.00994891 0.999951i \(-0.496833\pi\)
0.972666 0.232209i \(-0.0745955\pi\)
\(32\) −1153.88 + 5055.47i −0.199198 + 0.872743i
\(33\) 1621.73 780.984i 0.259235 0.124841i
\(34\) 371.830 1629.09i 0.0551629 0.241685i
\(35\) 269.362 + 129.718i 0.0371677 + 0.0178990i
\(36\) −14338.4 −1.84394
\(37\) −543.788 −0.0653018 −0.0326509 0.999467i \(-0.510395\pi\)
−0.0326509 + 0.999467i \(0.510395\pi\)
\(38\) 14615.0 + 7038.22i 1.64188 + 0.790686i
\(39\) 1598.91 + 7005.28i 0.168330 + 0.737504i
\(40\) 14705.6 + 18440.2i 1.45322 + 1.82228i
\(41\) −9978.85 + 12513.1i −0.927087 + 1.16253i 0.0593243 + 0.998239i \(0.481105\pi\)
−0.986412 + 0.164292i \(0.947466\pi\)
\(42\) −330.187 −0.0288826
\(43\) 11158.6 4742.70i 0.920323 0.391160i
\(44\) −19876.8 −1.54780
\(45\) −7445.64 + 9336.54i −0.548114 + 0.687313i
\(46\) 11632.4 + 14586.6i 0.810540 + 1.01639i
\(47\) −3292.01 14423.2i −0.217378 0.952397i −0.959406 0.282028i \(-0.908993\pi\)
0.742028 0.670369i \(-0.233864\pi\)
\(48\) −10243.7 4933.09i −0.641730 0.309041i
\(49\) −16781.6 −0.998486
\(50\) 3948.61 0.223367
\(51\) 955.294 + 460.045i 0.0514294 + 0.0247671i
\(52\) 17656.4 77357.8i 0.905512 3.96731i
\(53\) 6167.49 2970.10i 0.301591 0.145239i −0.276968 0.960879i \(-0.589330\pi\)
0.578559 + 0.815641i \(0.303615\pi\)
\(54\) 6474.73 28367.7i 0.302160 1.32385i
\(55\) −10321.6 + 12942.9i −0.460087 + 0.576931i
\(56\) 1808.08 + 870.728i 0.0770458 + 0.0371033i
\(57\) −6417.59 + 8047.41i −0.261629 + 0.328072i
\(58\) 3369.33 + 14762.0i 0.131515 + 0.576203i
\(59\) −31709.8 + 15270.6i −1.18594 + 0.571119i −0.919637 0.392770i \(-0.871517\pi\)
−0.266304 + 0.963889i \(0.585802\pi\)
\(60\) −24498.8 + 11798.0i −0.878551 + 0.423088i
\(61\) 28361.0 + 35563.6i 0.975882 + 1.22372i 0.974654 + 0.223719i \(0.0718197\pi\)
0.00122868 + 0.999999i \(0.499609\pi\)
\(62\) −19059.5 83505.2i −0.629698 2.75889i
\(63\) −226.100 + 990.607i −0.00717709 + 0.0314449i
\(64\) −2355.78 2954.06i −0.0718928 0.0901508i
\(65\) −41203.2 51667.2i −1.20962 1.51681i
\(66\) 4068.39 17824.8i 0.114964 0.503691i
\(67\) 10532.1 + 46144.1i 0.286634 + 1.25583i 0.889112 + 0.457690i \(0.151323\pi\)
−0.602478 + 0.798136i \(0.705820\pi\)
\(68\) −7300.20 9154.16i −0.191453 0.240075i
\(69\) −10666.0 + 5136.49i −0.269700 + 0.129880i
\(70\) 2736.02 1317.60i 0.0667380 0.0321393i
\(71\) 6500.24 + 28479.4i 0.153032 + 0.670479i 0.991994 + 0.126288i \(0.0403063\pi\)
−0.838961 + 0.544191i \(0.816837\pi\)
\(72\) −49978.7 + 62671.3i −1.13620 + 1.42475i
\(73\) 37938.5 + 18270.2i 0.833246 + 0.401270i 0.801331 0.598221i \(-0.204125\pi\)
0.0319142 + 0.999491i \(0.489840\pi\)
\(74\) −3443.83 + 4318.43i −0.0731076 + 0.0916740i
\(75\) −557.530 + 2442.70i −0.0114450 + 0.0501438i
\(76\) 102407. 49316.8i 2.03375 0.979401i
\(77\) −313.433 + 1373.24i −0.00602446 + 0.0263949i
\(78\) 65757.6 + 31667.2i 1.22380 + 0.589349i
\(79\) −47460.8 −0.855593 −0.427797 0.903875i \(-0.640710\pi\)
−0.427797 + 0.903875i \(0.640710\pi\)
\(80\) 104567. 1.82671
\(81\) −27471.9 13229.8i −0.465240 0.224048i
\(82\) 36174.7 + 158492.i 0.594114 + 2.60298i
\(83\) −37806.9 47408.4i −0.602388 0.755370i 0.383360 0.923599i \(-0.374767\pi\)
−0.985748 + 0.168228i \(0.946195\pi\)
\(84\) −1442.52 + 1808.86i −0.0223061 + 0.0279709i
\(85\) −9751.61 −0.146396
\(86\) 33004.5 118651.i 0.481201 1.72991i
\(87\) −9607.85 −0.136091
\(88\) −69283.5 + 86878.8i −0.953726 + 1.19593i
\(89\) 66286.7 + 83120.9i 0.887057 + 1.11233i 0.993018 + 0.117964i \(0.0376366\pi\)
−0.105961 + 0.994370i \(0.533792\pi\)
\(90\) 26991.4 + 118257.i 0.351253 + 1.53894i
\(91\) −5066.03 2439.67i −0.0641305 0.0308836i
\(92\) 130729. 1.61028
\(93\) 54349.3 0.651609
\(94\) −135389. 65199.8i −1.58039 0.761074i
\(95\) 21065.1 92292.0i 0.239471 1.04919i
\(96\) −30111.7 + 14501.0i −0.333470 + 0.160591i
\(97\) 4009.60 17567.2i 0.0432685 0.189572i −0.948675 0.316253i \(-0.897575\pi\)
0.991944 + 0.126681i \(0.0404324\pi\)
\(98\) −106278. + 133269.i −1.11784 + 1.40173i
\(99\) −50690.9 24411.5i −0.519807 0.250326i
\(100\) 17250.6 21631.6i 0.172506 0.216316i
\(101\) 4129.37 + 18091.9i 0.0402791 + 0.176474i 0.991066 0.133371i \(-0.0425800\pi\)
−0.950787 + 0.309845i \(0.899723\pi\)
\(102\) 9703.31 4672.87i 0.0923463 0.0444716i
\(103\) 135135. 65077.6i 1.25509 0.604420i 0.316219 0.948686i \(-0.397587\pi\)
0.938872 + 0.344266i \(0.111872\pi\)
\(104\) −276576. 346815.i −2.50744 3.14423i
\(105\) 428.779 + 1878.60i 0.00379542 + 0.0166288i
\(106\) 15472.2 67788.1i 0.133748 0.585988i
\(107\) 11782.7 + 14775.0i 0.0994913 + 0.124758i 0.829085 0.559123i \(-0.188862\pi\)
−0.729593 + 0.683881i \(0.760291\pi\)
\(108\) −127119. 159403.i −1.04870 1.31503i
\(109\) 37198.7 162978.i 0.299890 1.31390i −0.570402 0.821365i \(-0.693213\pi\)
0.870292 0.492536i \(-0.163930\pi\)
\(110\) 37417.2 + 163935.i 0.294842 + 1.29179i
\(111\) −2185.22 2740.18i −0.0168340 0.0211092i
\(112\) 8016.05 3860.32i 0.0603831 0.0290790i
\(113\) −18966.6 + 9133.84i −0.139731 + 0.0672910i −0.502443 0.864610i \(-0.667565\pi\)
0.362712 + 0.931901i \(0.381851\pi\)
\(114\) 23264.6 + 101929.i 0.167662 + 0.734575i
\(115\) 67884.6 85124.6i 0.478660 0.600220i
\(116\) 95590.4 + 46033.9i 0.659583 + 0.317638i
\(117\) 140034. 175597.i 0.945735 1.18591i
\(118\) −79549.4 + 348529.i −0.525935 + 2.30427i
\(119\) −747.553 + 360.003i −0.00483921 + 0.00233044i
\(120\) −33826.7 + 148205.i −0.214440 + 0.939525i
\(121\) 74831.0 + 36036.7i 0.464642 + 0.223760i
\(122\) 462036. 2.81045
\(123\) −103154. −0.614786
\(124\) −540732. 260403.i −3.15812 1.52087i
\(125\) 36092.2 + 158130.i 0.206604 + 0.905189i
\(126\) 6434.89 + 8069.09i 0.0361089 + 0.0452792i
\(127\) −215467. + 270188.i −1.18542 + 1.48647i −0.350095 + 0.936714i \(0.613851\pi\)
−0.835325 + 0.549756i \(0.814721\pi\)
\(128\) −204314. −1.10223
\(129\) 68739.9 + 37170.4i 0.363693 + 0.196663i
\(130\) −671251. −3.48358
\(131\) 112935. 141616.i 0.574975 0.720996i −0.406272 0.913752i \(-0.633171\pi\)
0.981247 + 0.192757i \(0.0617428\pi\)
\(132\) −79875.3 100160.i −0.399005 0.500336i
\(133\) −1792.33 7852.73i −0.00878597 0.0384938i
\(134\) 433148. + 208593.i 2.08389 + 1.00355i
\(135\) −169806. −0.801897
\(136\) −65457.5 −0.303467
\(137\) 244322. + 117659.i 1.11214 + 0.535581i 0.897457 0.441102i \(-0.145412\pi\)
0.214688 + 0.976683i \(0.431127\pi\)
\(138\) −26757.6 + 117233.i −0.119605 + 0.524023i
\(139\) −79354.8 + 38215.2i −0.348366 + 0.167764i −0.599881 0.800089i \(-0.704786\pi\)
0.251515 + 0.967853i \(0.419071\pi\)
\(140\) 4734.91 20745.0i 0.0204170 0.0894526i
\(141\) 59450.5 74548.6i 0.251830 0.315785i
\(142\) 267332. + 128740.i 1.11258 + 0.535789i
\(143\) 194124. 243424.i 0.793851 0.995458i
\(144\) 79080.2 + 346473.i 0.317806 + 1.39240i
\(145\) 79613.1 38339.7i 0.314460 0.151436i
\(146\) 385357. 185578.i 1.49617 0.720517i
\(147\) −67436.9 84563.2i −0.257398 0.322766i
\(148\) 8612.21 + 37732.6i 0.0323192 + 0.141600i
\(149\) 86354.2 378343.i 0.318653 1.39611i −0.521264 0.853395i \(-0.674539\pi\)
0.839917 0.542715i \(-0.182603\pi\)
\(150\) 15867.5 + 19897.3i 0.0575813 + 0.0722047i
\(151\) −99086.4 124250.i −0.353648 0.443461i 0.572906 0.819621i \(-0.305816\pi\)
−0.926555 + 0.376160i \(0.877244\pi\)
\(152\) 141399. 619508.i 0.496406 2.17489i
\(153\) −7374.79 32311.1i −0.0254695 0.111589i
\(154\) 8920.44 + 11185.9i 0.0303099 + 0.0380074i
\(155\) −450353. + 216878.i −1.50565 + 0.725082i
\(156\) 460763. 221892.i 1.51588 0.730011i
\(157\) −99678.6 436720.i −0.322740 1.41402i −0.832655 0.553791i \(-0.813181\pi\)
0.509916 0.860224i \(-0.329677\pi\)
\(158\) −300571. + 376904.i −0.957865 + 1.20113i
\(159\) 39750.7 + 19142.9i 0.124696 + 0.0600503i
\(160\) 191648. 240318.i 0.591839 0.742142i
\(161\) 2061.43 9031.73i 0.00626764 0.0274603i
\(162\) −279044. + 134380.i −0.835381 + 0.402298i
\(163\) −116743. + 511485.i −0.344161 + 1.50787i 0.446035 + 0.895015i \(0.352836\pi\)
−0.790196 + 0.612854i \(0.790021\pi\)
\(164\) 1.02630e6 + 494241.i 2.97965 + 1.43492i
\(165\) −106697. −0.305101
\(166\) −615921. −1.73482
\(167\) −337929. 162738.i −0.937636 0.451542i −0.0983013 0.995157i \(-0.531341\pi\)
−0.839335 + 0.543615i \(0.817055\pi\)
\(168\) 2878.17 + 12610.1i 0.00786761 + 0.0344703i
\(169\) 543435. + 681446.i 1.46363 + 1.83533i
\(170\) −61757.3 + 77441.2i −0.163895 + 0.205518i
\(171\) 321732. 0.841403
\(172\) −505813. 699168.i −1.30367 1.80202i
\(173\) −745971. −1.89499 −0.947495 0.319772i \(-0.896394\pi\)
−0.947495 + 0.319772i \(0.896394\pi\)
\(174\) −60846.9 + 76299.6i −0.152358 + 0.191051i
\(175\) −1222.45 1532.91i −0.00301743 0.00378373i
\(176\) 109626. + 480302.i 0.266767 + 1.16878i
\(177\) −204376. 98422.1i −0.490338 0.236135i
\(178\) 1.07989e6 2.55464
\(179\) 90617.3 0.211387 0.105694 0.994399i \(-0.466294\pi\)
0.105694 + 0.994399i \(0.466294\pi\)
\(180\) 765767. + 368774.i 1.76163 + 0.848358i
\(181\) −102741. + 450138.i −0.233103 + 1.02129i 0.713946 + 0.700201i \(0.246906\pi\)
−0.947049 + 0.321089i \(0.895951\pi\)
\(182\) −51457.7 + 24780.7i −0.115152 + 0.0554544i
\(183\) −65237.9 + 285826.i −0.144003 + 0.630919i
\(184\) 455674. 571397.i 0.992224 1.24421i
\(185\) 29041.9 + 13985.8i 0.0623871 + 0.0300441i
\(186\) 344196. 431609.i 0.729498 0.914761i
\(187\) −10223.4 44791.6i −0.0213792 0.0936683i
\(188\) −948668. + 456855.i −1.95758 + 0.942721i
\(189\) −13017.2 + 6268.78i −0.0265072 + 0.0127652i
\(190\) −599520. 751775.i −1.20481 1.51079i
\(191\) −78093.8 342151.i −0.154893 0.678632i −0.991421 0.130708i \(-0.958275\pi\)
0.836528 0.547925i \(-0.184582\pi\)
\(192\) 5418.93 23741.9i 0.0106086 0.0464795i
\(193\) 262233. + 328830.i 0.506751 + 0.635446i 0.967737 0.251962i \(-0.0810757\pi\)
−0.460986 + 0.887407i \(0.652504\pi\)
\(194\) −114115. 143096.i −0.217690 0.272974i
\(195\) 94778.3 415251.i 0.178494 0.782031i
\(196\) 265777. + 1.16445e6i 0.494171 + 2.16511i
\(197\) −70951.8 88970.8i −0.130256 0.163336i 0.712426 0.701747i \(-0.247596\pi\)
−0.842682 + 0.538411i \(0.819025\pi\)
\(198\) −514888. + 247957.i −0.933362 + 0.449483i
\(199\) −715942. + 344779.i −1.28158 + 0.617175i −0.945795 0.324764i \(-0.894715\pi\)
−0.335782 + 0.941940i \(0.609001\pi\)
\(200\) −34419.2 150800.i −0.0608450 0.266580i
\(201\) −190200. + 238503.i −0.332062 + 0.416393i
\(202\) 169826. + 81784.0i 0.292837 + 0.141023i
\(203\) 4687.71 5878.20i 0.00798400 0.0100116i
\(204\) 16792.4 73572.3i 0.0282512 0.123777i
\(205\) 854763. 411632.i 1.42056 0.684108i
\(206\) 339010. 1.48530e6i 0.556601 2.43863i
\(207\) 333391. + 160553.i 0.540790 + 0.260431i
\(208\) −1.96665e6 −3.15187
\(209\) 446005. 0.706275
\(210\) 17634.2 + 8492.16i 0.0275935 + 0.0132883i
\(211\) −12545.0 54963.3i −0.0193984 0.0849898i 0.964302 0.264804i \(-0.0853074\pi\)
−0.983701 + 0.179815i \(0.942450\pi\)
\(212\) −303768. 380913.i −0.464197 0.582085i
\(213\) −117388. + 147200.i −0.177286 + 0.222310i
\(214\) 191954. 0.286526
\(215\) −717923. 33700.3i −1.05921 0.0497207i
\(216\) −1.13982e6 −1.66227
\(217\) −26517.3 + 33251.6i −0.0382278 + 0.0479361i
\(218\) −1.05869e6 1.32756e6i −1.50879 1.89196i
\(219\) 60391.7 + 264593.i 0.0850878 + 0.372794i
\(220\) 1.06155e6 + 511217.i 1.47872 + 0.712113i
\(221\) 183404. 0.252597
\(222\) −35599.9 −0.0484804
\(223\) −212234. 102207.i −0.285794 0.137631i 0.285495 0.958380i \(-0.407842\pi\)
−0.571289 + 0.820749i \(0.693556\pi\)
\(224\) 5819.70 25497.8i 0.00774963 0.0339533i
\(225\) 70560.0 33979.9i 0.0929186 0.0447472i
\(226\) −47581.0 + 208466.i −0.0619673 + 0.271496i
\(227\) 527185. 661069.i 0.679044 0.851494i −0.316222 0.948685i \(-0.602414\pi\)
0.995266 + 0.0971909i \(0.0309857\pi\)
\(228\) 660035. + 317856.i 0.840872 + 0.404943i
\(229\) −285320. + 357780.i −0.359537 + 0.450845i −0.928397 0.371589i \(-0.878813\pi\)
0.568860 + 0.822434i \(0.307385\pi\)
\(230\) −246091. 1.07819e6i −0.306744 1.34393i
\(231\) −8179.37 + 3938.98i −0.0100853 + 0.00485684i
\(232\) 534402. 257354.i 0.651850 0.313914i
\(233\) 481132. + 603320.i 0.580596 + 0.728045i 0.982214 0.187762i \(-0.0601235\pi\)
−0.401618 + 0.915807i \(0.631552\pi\)
\(234\) −507643. 2.22413e6i −0.606064 2.65534i
\(235\) −195140. + 854964.i −0.230503 + 1.00990i
\(236\) 1.56181e6 + 1.95844e6i 1.82535 + 2.28892i
\(237\) −190722. 239158.i −0.220562 0.276575i
\(238\) −1875.37 + 8216.51i −0.00214607 + 0.00940254i
\(239\) −138892. 608527.i −0.157284 0.689104i −0.990655 0.136391i \(-0.956450\pi\)
0.833372 0.552713i \(-0.186408\pi\)
\(240\) 420204. + 526919.i 0.470903 + 0.590494i
\(241\) 967675. 466008.i 1.07322 0.516833i 0.188074 0.982155i \(-0.439776\pi\)
0.885142 + 0.465322i \(0.154061\pi\)
\(242\) 760089. 366040.i 0.834307 0.401781i
\(243\) −198629. 870249.i −0.215787 0.945426i
\(244\) 2.01854e6 2.53116e6i 2.17051 2.72173i
\(245\) 896246. + 431609.i 0.953920 + 0.459384i
\(246\) −653280. + 819187.i −0.688274 + 0.863068i
\(247\) −396182. + 1.73579e6i −0.413193 + 1.81031i
\(248\) −3.02298e6 + 1.45579e6i −3.12109 + 1.50304i
\(249\) 86965.9 381023.i 0.0888895 0.389451i
\(250\) 1.48434e6 + 714822.i 1.50205 + 0.723349i
\(251\) −402017. −0.402773 −0.201387 0.979512i \(-0.564545\pi\)
−0.201387 + 0.979512i \(0.564545\pi\)
\(252\) 72317.5 0.0717368
\(253\) 462168. + 222568.i 0.453940 + 0.218606i
\(254\) 781099. + 3.42222e6i 0.759664 + 3.32831i
\(255\) −39187.0 49138.9i −0.0377391 0.0473233i
\(256\) −1.21854e6 + 1.52800e6i −1.16209 + 1.45722i
\(257\) 1.13012e6 1.06732 0.533659 0.845700i \(-0.320817\pi\)
0.533659 + 0.845700i \(0.320817\pi\)
\(258\) 730516. 310488.i 0.683252 0.290399i
\(259\) 2742.65 0.00254051
\(260\) −2.93255e6 + 3.67730e6i −2.69037 + 3.37362i
\(261\) 187244. + 234796.i 0.170140 + 0.213348i
\(262\) −409403. 1.79371e6i −0.368467 1.61436i
\(263\) −1.40836e6 678230.i −1.25552 0.604627i −0.316535 0.948581i \(-0.602519\pi\)
−0.938987 + 0.343954i \(0.888234\pi\)
\(264\) −716204. −0.632451
\(265\) −405773. −0.354951
\(266\) −73712.4 35498.0i −0.0638758 0.0307610i
\(267\) −152477. + 668045.i −0.130896 + 0.573492i
\(268\) 3.03507e6 1.46161e6i 2.58126 1.24307i
\(269\) 131100. 574387.i 0.110464 0.483976i −0.889186 0.457546i \(-0.848729\pi\)
0.999651 0.0264309i \(-0.00841420\pi\)
\(270\) −1.07539e6 + 1.34849e6i −0.897751 + 1.12574i
\(271\) 285351. + 137418.i 0.236024 + 0.113663i 0.548158 0.836375i \(-0.315329\pi\)
−0.312134 + 0.950038i \(0.601044\pi\)
\(272\) −180938. + 226889.i −0.148289 + 0.185948i
\(273\) −8064.27 35331.9i −0.00654875 0.0286920i
\(274\) 2.48168e6 1.19511e6i 1.99696 0.961684i
\(275\) 97814.7 47105.1i 0.0779960 0.0375609i
\(276\) 525336. + 658750.i 0.415111 + 0.520533i
\(277\) −125712. 550780.i −0.0984413 0.431300i 0.901558 0.432659i \(-0.142424\pi\)
−0.999999 + 0.00135922i \(0.999567\pi\)
\(278\) −199075. + 872205.i −0.154492 + 0.676872i
\(279\) −1.05919e6 1.32819e6i −0.814638 1.02152i
\(280\) −74169.2 93005.2i −0.0565364 0.0708944i
\(281\) −97321.1 + 426392.i −0.0735261 + 0.322139i −0.998294 0.0583937i \(-0.981402\pi\)
0.924768 + 0.380532i \(0.124259\pi\)
\(282\) −215516. 944238.i −0.161383 0.707064i
\(283\) 358923. + 450075.i 0.266401 + 0.334056i 0.896982 0.442067i \(-0.145755\pi\)
−0.630581 + 0.776123i \(0.717183\pi\)
\(284\) 1.87319e6 902083.i 1.37812 0.663668i
\(285\) 549715. 264729.i 0.400890 0.193059i
\(286\) −703726. 3.08322e6i −0.508731 2.22890i
\(287\) 50329.4 63111.0i 0.0360676 0.0452273i
\(288\) 941210. + 453263.i 0.668660 + 0.322010i
\(289\) −868393. + 1.08893e6i −0.611606 + 0.766929i
\(290\) 199723. 875045.i 0.139455 0.610992i
\(291\) 104635. 50389.5i 0.0724342 0.0348825i
\(292\) 666892. 2.92185e6i 0.457719 2.00540i
\(293\) 1.19488e6 + 575425.i 0.813122 + 0.391579i 0.793758 0.608233i \(-0.208122\pi\)
0.0193641 + 0.999812i \(0.493836\pi\)
\(294\) −1.09863e6 −0.741281
\(295\) 2.08626e6 1.39577
\(296\) 194943. + 93879.5i 0.129324 + 0.0622790i
\(297\) −178021. 779962.i −0.117106 0.513077i
\(298\) −2.45768e6 3.08183e6i −1.60319 2.01033i
\(299\) −1.27674e6 + 1.60099e6i −0.825896 + 1.03564i
\(300\) 178325. 0.114395
\(301\) −56279.8 + 23920.3i −0.0358044 + 0.0152178i
\(302\) −1.61424e6 −1.01847
\(303\) −74572.4 + 93510.8i −0.0466629 + 0.0585134i
\(304\) −1.75649e6 2.20257e6i −1.09009 1.36693i
\(305\) −599996. 2.62876e6i −0.369317 1.61808i
\(306\) −303299. 146061.i −0.185169 0.0891726i
\(307\) −836582. −0.506597 −0.253298 0.967388i \(-0.581515\pi\)
−0.253298 + 0.967388i \(0.581515\pi\)
\(308\) 100251. 0.0602159
\(309\) 870972. + 419438.i 0.518929 + 0.249903i
\(310\) −1.12979e6 + 4.94992e6i −0.667717 + 2.92546i
\(311\) −965500. + 464960.i −0.566045 + 0.272593i −0.694943 0.719065i \(-0.744570\pi\)
0.128898 + 0.991658i \(0.458856\pi\)
\(312\) 636198. 2.78736e6i 0.370003 1.62109i
\(313\) 14763.4 18512.7i 0.00851776 0.0106809i −0.777554 0.628816i \(-0.783540\pi\)
0.786072 + 0.618135i \(0.212111\pi\)
\(314\) −4.09943e6 1.97418e6i −2.34638 1.12996i
\(315\) 37552.9 47089.8i 0.0213239 0.0267393i
\(316\) 751658. + 3.29323e6i 0.423451 + 1.85526i
\(317\) −2.76806e6 + 1.33303e6i −1.54713 + 0.745060i −0.996000 0.0893568i \(-0.971519\pi\)
−0.551134 + 0.834417i \(0.685805\pi\)
\(318\) 403763. 194442.i 0.223903 0.107826i
\(319\) 259569. + 325489.i 0.142816 + 0.179085i
\(320\) 49838.2 + 218355.i 0.0272074 + 0.119203i
\(321\) −27103.3 + 118747.i −0.0146811 + 0.0643223i
\(322\) −58669.2 73568.9i −0.0315334 0.0395416i
\(323\) 163805. + 205405.i 0.0873617 + 0.109548i
\(324\) −482908. + 2.11576e6i −0.255566 + 1.11971i
\(325\) 96438.3 + 422524.i 0.0506455 + 0.221893i
\(326\) 3.32256e6 + 4.16635e6i 1.73152 + 2.17126i
\(327\) 970739. 467483.i 0.502034 0.241767i
\(328\) 5.73758e6 2.76307e6i 2.94472 1.41810i
\(329\) 16603.6 + 72745.1i 0.00845693 + 0.0370522i
\(330\) −675719. + 847324.i −0.341571 + 0.428317i
\(331\) −2.33438e6 1.12418e6i −1.17112 0.563981i −0.255808 0.966728i \(-0.582341\pi\)
−0.915312 + 0.402746i \(0.868056\pi\)
\(332\) −2.69083e6 + 3.37419e6i −1.33980 + 1.68006i
\(333\) −24377.4 + 106805.i −0.0120470 + 0.0527812i
\(334\) −3.43248e6 + 1.65300e6i −1.68361 + 0.810785i
\(335\) 624309. 2.73528e6i 0.303940 1.33165i
\(336\) 51665.0 + 24880.5i 0.0249660 + 0.0120230i
\(337\) −2.30729e6 −1.10669 −0.553346 0.832951i \(-0.686649\pi\)
−0.553346 + 0.832951i \(0.686649\pi\)
\(338\) 8.85321e6 4.21511
\(339\) −122244. 58869.4i −0.0577732 0.0278221i
\(340\) 154441. + 676648.i 0.0724543 + 0.317443i
\(341\) −1.46832e6 1.84121e6i −0.683808 0.857469i
\(342\) 2.03754e6 2.55500e6i 0.941979 1.18120i
\(343\) 169407. 0.0777494
\(344\) −4.81905e6 226212.i −2.19566 0.103067i
\(345\) 701743. 0.317417
\(346\) −4.72426e6 + 5.92404e6i −2.12150 + 2.66028i
\(347\) 22529.2 + 28250.8i 0.0100444 + 0.0125952i 0.786828 0.617172i \(-0.211722\pi\)
−0.776784 + 0.629767i \(0.783150\pi\)
\(348\) 152164. + 666673.i 0.0673540 + 0.295097i
\(349\) 2.64941e6 + 1.27589e6i 1.16436 + 0.560725i 0.913316 0.407251i \(-0.133513\pi\)
0.251041 + 0.967976i \(0.419227\pi\)
\(350\) −19915.2 −0.00868991
\(351\) 3.19364e6 1.38362
\(352\) 1.30476e6 + 628341.i 0.561274 + 0.270295i
\(353\) 116258. 509358.i 0.0496575 0.217564i −0.944011 0.329913i \(-0.892980\pi\)
0.993669 + 0.112349i \(0.0358376\pi\)
\(354\) −2.07593e6 + 999713.i −0.880448 + 0.424001i
\(355\) 385314. 1.68817e6i 0.162272 0.710960i
\(356\) 4.71781e6 5.91595e6i 1.97295 2.47400i
\(357\) −4818.13 2320.29i −0.00200082 0.000963543i
\(358\) 573883. 719626.i 0.236655 0.296756i
\(359\) −361443. 1.58358e6i −0.148014 0.648492i −0.993436 0.114393i \(-0.963508\pi\)
0.845422 0.534100i \(-0.179349\pi\)
\(360\) 4.28105e6 2.06164e6i 1.74098 0.838412i
\(361\) −66971.0 + 32251.5i −0.0270470 + 0.0130251i
\(362\) 2.92405e6 + 3.66665e6i 1.17277 + 1.47061i
\(363\) 119118. + 521892.i 0.0474474 + 0.207881i
\(364\) −89052.0 + 390162.i −0.0352282 + 0.154345i
\(365\) −1.55627e6 1.95150e6i −0.611438 0.766719i
\(366\) 1.85670e6 + 2.32822e6i 0.724500 + 0.908494i
\(367\) −357064. + 1.56440e6i −0.138382 + 0.606293i 0.857408 + 0.514637i \(0.172073\pi\)
−0.995791 + 0.0916560i \(0.970784\pi\)
\(368\) −721003. 3.15892e6i −0.277535 1.21596i
\(369\) 2.01033e6 + 2.52088e6i 0.768603 + 0.963798i
\(370\) 294990. 142060.i 0.112022 0.0539469i
\(371\) −31106.4 + 14980.0i −0.0117331 + 0.00565039i
\(372\) −860755. 3.77121e6i −0.322494 1.41294i
\(373\) −141256. + 177130.i −0.0525698 + 0.0659204i −0.807421 0.589975i \(-0.799137\pi\)
0.754852 + 0.655896i \(0.227709\pi\)
\(374\) −420452. 202479.i −0.155431 0.0748516i
\(375\) −651790. + 817318.i −0.239348 + 0.300133i
\(376\) −1.30987e6 + 5.73893e6i −0.477815 + 2.09344i
\(377\) −1.49733e6 + 721075.i −0.542580 + 0.261293i
\(378\) −32656.0 + 143075.i −0.0117553 + 0.0515033i
\(379\) −537439. 258817.i −0.192190 0.0925540i 0.335314 0.942107i \(-0.391158\pi\)
−0.527504 + 0.849553i \(0.676872\pi\)
\(380\) −6.73761e6 −2.39358
\(381\) −2.22735e6 −0.786097
\(382\) −3.21172e6 1.54668e6i −1.12611 0.542305i
\(383\) −691788. 3.03092e6i −0.240977 1.05579i −0.940130 0.340817i \(-0.889296\pi\)
0.699152 0.714973i \(-0.253561\pi\)
\(384\) −821038. 1.02955e6i −0.284142 0.356303i
\(385\) 52058.1 65278.8i 0.0178993 0.0224450i
\(386\) 4.27210e6 1.45940
\(387\) −431277. 2.40426e6i −0.146379 0.816026i
\(388\) −1.28246e6 −0.432479
\(389\) 2.38011e6 2.98456e6i 0.797486 1.00002i −0.202300 0.979324i \(-0.564842\pi\)
0.999786 0.0206918i \(-0.00658687\pi\)
\(390\) −2.69743e6 3.38247e6i −0.898026 1.12609i
\(391\) 67238.7 + 294592.i 0.0222422 + 0.0974493i
\(392\) 6.01603e6 + 2.89717e6i 1.97740 + 0.952266i
\(393\) 1.16744e6 0.381287
\(394\) −1.15589e6 −0.375125
\(395\) 2.53472e6 + 1.22066e6i 0.817405 + 0.393641i
\(396\) −891057. + 3.90398e6i −0.285541 + 1.25103i
\(397\) 2.68956e6 1.29522e6i 0.856456 0.412447i 0.0464859 0.998919i \(-0.485198\pi\)
0.809970 + 0.586472i \(0.199483\pi\)
\(398\) −1.79606e6 + 7.86906e6i −0.568347 + 2.49009i
\(399\) 32367.8 40588.0i 0.0101784 0.0127634i
\(400\) −617846. 297539.i −0.193077 0.0929810i
\(401\) −2.41880e6 + 3.03307e6i −0.751170 + 0.941937i −0.999643 0.0267014i \(-0.991500\pi\)
0.248474 + 0.968639i \(0.420071\pi\)
\(402\) 689499. + 3.02089e6i 0.212799 + 0.932331i
\(403\) 8.47003e6 4.07895e6i 2.59790 1.25108i
\(404\) 1.18997e6 573060.i 0.362730 0.174681i
\(405\) 1.12692e6 + 1.41312e6i 0.341394 + 0.428095i
\(406\) −16993.6 74453.7i −0.00511646 0.0224167i
\(407\) −33793.5 + 148059.i −0.0101122 + 0.0443046i
\(408\) −263042. 329844.i −0.0782301 0.0980975i
\(409\) −158222. 198404.i −0.0467689 0.0586464i 0.757897 0.652374i \(-0.226227\pi\)
−0.804666 + 0.593728i \(0.797656\pi\)
\(410\) 2.14432e6 9.39488e6i 0.629984 2.76014i
\(411\) 388920. + 1.70397e6i 0.113568 + 0.497573i
\(412\) −6.65583e6 8.34615e6i −1.93179 2.42238i
\(413\) 159932. 77019.0i 0.0461380 0.0222189i
\(414\) 3.38639e6 1.63080e6i 0.971038 0.467627i
\(415\) 799830. + 3.50429e6i 0.227970 + 0.998802i
\(416\) −3.60442e6 + 4.51980e6i −1.02118 + 1.28052i
\(417\) −511457. 246305.i −0.144035 0.0693638i
\(418\) 2.82457e6 3.54189e6i 0.790699 0.991505i
\(419\) −491923. + 2.15526e6i −0.136887 + 0.599741i 0.859221 + 0.511604i \(0.170948\pi\)
−0.996108 + 0.0881371i \(0.971909\pi\)
\(420\) 123562. 59504.5i 0.0341793 0.0164599i
\(421\) 93240.3 408512.i 0.0256388 0.112331i −0.960489 0.278317i \(-0.910223\pi\)
0.986128 + 0.165986i \(0.0530806\pi\)
\(422\) −515933. 248460.i −0.141030 0.0679166i
\(423\) −2.98042e6 −0.809892
\(424\) −2.72374e6 −0.735786
\(425\) 57618.6 + 27747.6i 0.0154736 + 0.00745167i
\(426\) 425548. + 1.86445e6i 0.113612 + 0.497767i
\(427\) −143042. 179369.i −0.0379659 0.0476077i
\(428\) 838608. 1.05158e6i 0.221284 0.277481i
\(429\) 2.00672e6 0.526433
\(430\) −4.81426e6 + 5.48788e6i −1.25562 + 1.43131i
\(431\) −1.50497e6 −0.390242 −0.195121 0.980779i \(-0.562510\pi\)
−0.195121 + 0.980779i \(0.562510\pi\)
\(432\) −3.15070e6 + 3.95085e6i −0.812265 + 1.01855i
\(433\) −553881. 694545.i −0.141970 0.178025i 0.705763 0.708448i \(-0.250604\pi\)
−0.847733 + 0.530423i \(0.822033\pi\)
\(434\) 96128.7 + 421167.i 0.0244979 + 0.107332i
\(435\) 513122. + 247107.i 0.130016 + 0.0626125i
\(436\) −1.18979e7 −2.99747
\(437\) −2.93335e6 −0.734785
\(438\) 2.48370e6 + 1.19609e6i 0.618605 + 0.297905i
\(439\) −954371. + 4.18137e6i −0.236350 + 1.03552i 0.707906 + 0.706307i \(0.249640\pi\)
−0.944256 + 0.329211i \(0.893217\pi\)
\(440\) 5.93465e6 2.85798e6i 1.46138 0.703764i
\(441\) −752300. + 3.29604e6i −0.184202 + 0.807042i
\(442\) 1.16150e6 1.45648e6i 0.282790 0.354608i
\(443\) 6.50297e6 + 3.13167e6i 1.57435 + 0.758169i 0.998246 0.0592041i \(-0.0188563\pi\)
0.576109 + 0.817373i \(0.304571\pi\)
\(444\) −155528. + 195026.i −0.0374414 + 0.0469500i
\(445\) −1.40234e6 6.14405e6i −0.335701 1.47080i
\(446\) −2.15575e6 + 1.03816e6i −0.513170 + 0.247130i
\(447\) 2.25351e6 1.08523e6i 0.533445 0.256894i
\(448\) 11881.6 + 14899.1i 0.00279693 + 0.00350724i
\(449\) 89580.5 + 392478.i 0.0209699 + 0.0918754i 0.984330 0.176336i \(-0.0564246\pi\)
−0.963360 + 0.268211i \(0.913567\pi\)
\(450\) 177012. 775540.i 0.0412070 0.180540i
\(451\) 2.78685e6 + 3.49460e6i 0.645166 + 0.809013i
\(452\) 934165. + 1.17141e6i 0.215069 + 0.269688i
\(453\) 227925. 998604.i 0.0521851 0.228638i
\(454\) −1.91112e6 8.37314e6i −0.435158 1.90655i
\(455\) 207813. + 260589.i 0.0470591 + 0.0590103i
\(456\) 3.68995e6 1.77699e6i 0.831014 0.400195i
\(457\) −3.78288e6 + 1.82174e6i −0.847289 + 0.408033i −0.806571 0.591138i \(-0.798679\pi\)
−0.0407184 + 0.999171i \(0.512965\pi\)
\(458\) 1.03432e6 + 4.53167e6i 0.230406 + 1.00947i
\(459\) 293825. 368445.i 0.0650964 0.0816283i
\(460\) −6.98178e6 3.36225e6i −1.53841 0.740858i
\(461\) −1.74299e6 + 2.18564e6i −0.381982 + 0.478990i −0.935237 0.354021i \(-0.884814\pi\)
0.553255 + 0.833012i \(0.313385\pi\)
\(462\) −20519.4 + 89901.2i −0.00447259 + 0.0195957i
\(463\) −2.45007e6 + 1.17989e6i −0.531162 + 0.255794i −0.680186 0.733040i \(-0.738101\pi\)
0.149024 + 0.988834i \(0.452387\pi\)
\(464\) 585154. 2.56373e6i 0.126176 0.552811i
\(465\) −2.90261e6 1.39782e6i −0.622525 0.299792i
\(466\) 7.83822e6 1.67206
\(467\) −4.36624e6 −0.926435 −0.463218 0.886245i \(-0.653305\pi\)
−0.463218 + 0.886245i \(0.653305\pi\)
\(468\) −1.44022e7 6.93574e6i −3.03959 1.46379i
\(469\) −53119.8 232733.i −0.0111513 0.0488569i
\(470\) 5.55376e6 + 6.96420e6i 1.15969 + 1.45421i
\(471\) 1.80010e6 2.25725e6i 0.373890 0.468843i
\(472\) 1.40040e7 2.89332
\(473\) −597863. 3.33293e6i −0.122871 0.684974i
\(474\) −3.10709e6 −0.635197
\(475\) −387077. + 485379.i −0.0787161 + 0.0987069i
\(476\) 36819.3 + 46170.0i 0.00744833 + 0.00933991i
\(477\) −306872. 1.34449e6i −0.0617534 0.270559i
\(478\) −5.71215e6 2.75083e6i −1.14348 0.550673i
\(479\) 2.53356e6 0.504536 0.252268 0.967657i \(-0.418824\pi\)
0.252268 + 0.967657i \(0.418824\pi\)
\(480\) 1.98112e6 0.392470
\(481\) −546206. 263039.i −0.107645 0.0518391i
\(482\) 2.42758e6 1.06359e7i 0.475944 2.08525i
\(483\) 53795.3 25906.4i 0.0104924 0.00505289i
\(484\) 1.31540e6 5.76314e6i 0.255237 1.11827i
\(485\) −665955. + 835081.i −0.128555 + 0.161203i
\(486\) −8.16890e6 3.93393e6i −1.56882 0.755503i
\(487\) −1.83465e6 + 2.30058e6i −0.350535 + 0.439557i −0.925573 0.378570i \(-0.876416\pi\)
0.575038 + 0.818127i \(0.304987\pi\)
\(488\) −4.02746e6 1.76455e7i −0.765565 3.35416i
\(489\) −3.04653e6 + 1.46713e6i −0.576148 + 0.277458i
\(490\) 9.10353e6 4.38403e6i 1.71285 0.824866i
\(491\) −3.37891e6 4.23702e6i −0.632519 0.793154i 0.357526 0.933903i \(-0.383620\pi\)
−0.990045 + 0.140749i \(0.955049\pi\)
\(492\) 1.63370e6 + 7.15771e6i 0.304270 + 1.33310i
\(493\) −54569.8 + 239086.i −0.0101119 + 0.0443033i
\(494\) 1.12755e7 + 1.41390e7i 2.07883 + 2.60677i
\(495\) 2.07938e6 + 2.60747e6i 0.381436 + 0.478306i
\(496\) −3.31008e6 + 1.45024e7i −0.604135 + 2.64689i
\(497\) −32784.7 143639.i −0.00595360 0.0260844i
\(498\) −2.47509e6 3.10366e6i −0.447216 0.560791i
\(499\) 612031. 294739.i 0.110033 0.0529890i −0.378058 0.925782i \(-0.623408\pi\)
0.488090 + 0.872793i \(0.337694\pi\)
\(500\) 1.04008e7 5.00875e6i 1.86055 0.895993i
\(501\) −537926. 2.35681e6i −0.0957477 0.419498i
\(502\) −2.54599e6 + 3.19257e6i −0.450918 + 0.565433i
\(503\) 2.83557e6 + 1.36554e6i 0.499713 + 0.240649i 0.666722 0.745306i \(-0.267697\pi\)
−0.167009 + 0.985955i \(0.553411\pi\)
\(504\) 252073. 316089.i 0.0442028 0.0554285i
\(505\) 244776. 1.07243e6i 0.0427110 0.187129i
\(506\) 4.69442e6 2.26072e6i 0.815091 0.392527i
\(507\) −1.25004e6 + 5.47680e6i −0.215976 + 0.946252i
\(508\) 2.21603e7 + 1.06719e7i 3.80993 + 1.83477i
\(509\) −714921. −0.122310 −0.0611552 0.998128i \(-0.519478\pi\)
−0.0611552 + 0.998128i \(0.519478\pi\)
\(510\) −638403. −0.108685
\(511\) −191347. 92147.8i −0.0324167 0.0156111i
\(512\) 2.96253e6 + 1.29797e7i 0.499445 + 2.18821i
\(513\) 2.85236e6 + 3.57675e6i 0.478532 + 0.600060i
\(514\) 7.15712e6 8.97475e6i 1.19490 1.49835i
\(515\) −8.89085e6 −1.47715
\(516\) 1.49053e6 5.35844e6i 0.246443 0.885959i
\(517\) −4.13165e6 −0.679824
\(518\) 17369.3 21780.4i 0.00284419 0.00356650i
\(519\) −2.99769e6 3.75899e6i −0.488505 0.612566i
\(520\) 5.85114e6 + 2.56355e7i 0.948926 + 4.15752i
\(521\) 5.74367e6 + 2.76601e6i 0.927033 + 0.446435i 0.835577 0.549374i \(-0.185134\pi\)
0.0914560 + 0.995809i \(0.470848\pi\)
\(522\) 3.05043e6 0.489987
\(523\) −4.18234e6 −0.668598 −0.334299 0.942467i \(-0.608499\pi\)
−0.334299 + 0.942467i \(0.608499\pi\)
\(524\) −1.16151e7 5.59352e6i −1.84796 0.889933i
\(525\) 2811.96 12320.0i 0.000445258 0.00195080i
\(526\) −1.43053e7 + 6.88906e6i −2.25440 + 1.08566i
\(527\) 308688. 1.35245e6i 0.0484165 0.212127i
\(528\) −1.97974e6 + 2.48251e6i −0.309046 + 0.387531i
\(529\) 2.75929e6 + 1.32881e6i 0.428705 + 0.206453i
\(530\) −2.56978e6 + 3.22240e6i −0.397380 + 0.498298i
\(531\) 1.57776e6 + 6.91263e6i 0.242832 + 1.06392i
\(532\) −516502. + 248734.i −0.0791212 + 0.0381028i
\(533\) −1.60760e7 + 7.74179e6i −2.45109 + 1.18038i
\(534\) 4.33955e6 + 5.44163e6i 0.658555 + 0.825802i
\(535\) −249271. 1.09213e6i −0.0376519 0.164964i
\(536\) 4.19066e6 1.83605e7i 0.630044 2.76040i
\(537\) 364147. + 456626.i 0.0544930 + 0.0683321i
\(538\) −3.73117e6 4.67873e6i −0.555762 0.696903i
\(539\) −1.04288e6 + 4.56917e6i −0.154619 + 0.677432i
\(540\) 2.68929e6 + 1.17826e7i 0.396875 + 1.73882i
\(541\) 87393.7 + 109588.i 0.0128377 + 0.0160980i 0.788209 0.615408i \(-0.211009\pi\)
−0.775371 + 0.631506i \(0.782437\pi\)
\(542\) 2.89843e6 1.39581e6i 0.423803 0.204093i
\(543\) −2.68114e6 + 1.29117e6i −0.390229 + 0.187924i
\(544\) 189824. + 831673.i 0.0275013 + 0.120491i
\(545\) −6.17833e6 + 7.74738e6i −0.891004 + 1.11728i
\(546\) −331655. 159717.i −0.0476108 0.0229281i
\(547\) 8.42393e6 1.05633e7i 1.20378 1.50949i 0.397878 0.917438i \(-0.369747\pi\)
0.805900 0.592051i \(-0.201682\pi\)
\(548\) 4.29475e6 1.88165e7i 0.610923 2.67663i
\(549\) 8.25639e6 3.97607e6i 1.16912 0.563019i
\(550\) 245385. 1.07510e6i 0.0345892 0.151545i
\(551\) −2.14490e6 1.03293e6i −0.300973 0.144941i
\(552\) 4.71044e6 0.657981
\(553\) 239374. 0.0332861
\(554\) −5.17009e6 2.48979e6i −0.715688 0.344657i
\(555\) 46229.7 + 202546.i 0.00637073 + 0.0279120i
\(556\) 3.90847e6 + 4.90107e6i 0.536192 + 0.672363i
\(557\) 953344. 1.19546e6i 0.130200 0.163266i −0.712458 0.701715i \(-0.752418\pi\)
0.842658 + 0.538449i \(0.180990\pi\)
\(558\) −1.72555e7 −2.34608
\(559\) 1.35024e7 + 633820.i 1.82760 + 0.0857899i
\(560\) −527394. −0.0710666
\(561\) 184625. 231512.i 0.0247675 0.0310575i
\(562\) 2.76980e6 + 3.47322e6i 0.369920 + 0.463865i
\(563\) −886462. 3.88385e6i −0.117866 0.516406i −0.999048 0.0436277i \(-0.986108\pi\)
0.881182 0.472778i \(-0.156749\pi\)
\(564\) −6.11435e6 2.94452e6i −0.809381 0.389777i
\(565\) 1.24786e6 0.164454
\(566\) 5.84729e6 0.767209
\(567\) 138558. + 66725.9i 0.0180998 + 0.00871639i
\(568\) 2.58641e6 1.13318e7i 0.336377 1.47376i
\(569\) 1.29352e7 6.22925e6i 1.67491 0.806595i 0.677436 0.735582i \(-0.263091\pi\)
0.997475 0.0710125i \(-0.0226230\pi\)
\(570\) 1.37905e6 6.04203e6i 0.177785 0.778926i
\(571\) −3.17920e6 + 3.98659e6i −0.408064 + 0.511696i −0.942816 0.333313i \(-0.891833\pi\)
0.534753 + 0.845009i \(0.320405\pi\)
\(572\) −1.99652e7 9.61474e6i −2.55143 1.22871i
\(573\) 1.41030e6 1.76846e6i 0.179442 0.225013i
\(574\) −182451. 799369.i −0.0231135 0.101267i
\(575\) −643322. + 309807.i −0.0811444 + 0.0390771i
\(576\) −685810. + 330269.i −0.0861286 + 0.0414773i
\(577\) −7.34786e6 9.21392e6i −0.918801 1.15214i −0.987987 0.154536i \(-0.950612\pi\)
0.0691866 0.997604i \(-0.477960\pi\)
\(578\) 3.14804e6 + 1.37925e7i 0.391941 + 1.71721i
\(579\) −603206. + 2.64282e6i −0.0747772 + 0.327620i
\(580\) −3.92120e6 4.91703e6i −0.484004 0.606921i
\(581\) 190683. + 239109.i 0.0234354 + 0.0293871i
\(582\) 262494. 1.15006e6i 0.0321227 0.140739i
\(583\) −425404. 1.86382e6i −0.0518359 0.227108i
\(584\) −1.04464e7 1.30994e7i −1.26746 1.58935i
\(585\) −1.19950e7 + 5.77648e6i −1.44914 + 0.697868i
\(586\) 1.21369e7 5.84482e6i 1.46004 0.703116i
\(587\) −769496. 3.37138e6i −0.0921745 0.403843i 0.907701 0.419617i \(-0.137836\pi\)
−0.999876 + 0.0157745i \(0.994979\pi\)
\(588\) −4.79968e6 + 6.01861e6i −0.572491 + 0.717881i
\(589\) 1.21332e7 + 5.84303e6i 1.44107 + 0.693985i
\(590\) 1.32124e7 1.65678e7i 1.56261 1.95945i
\(591\) 163208. 715061.i 0.0192208 0.0842120i
\(592\) 864269. 416210.i 0.101355 0.0488099i
\(593\) −1.16885e6 + 5.12109e6i −0.136497 + 0.598033i 0.859692 + 0.510813i \(0.170656\pi\)
−0.996189 + 0.0872203i \(0.972202\pi\)
\(594\) −7.32139e6 3.52580e6i −0.851388 0.410007i
\(595\) 49183.3 0.00569541
\(596\) −2.76202e7 −3.18502
\(597\) −4.61438e6 2.22217e6i −0.529880 0.255177i
\(598\) 4.62837e6 + 2.02782e7i 0.529267 + 2.31887i
\(599\) 6.59312e6 + 8.26751e6i 0.750800 + 0.941473i 0.999633 0.0270733i \(-0.00861876\pi\)
−0.248834 + 0.968546i \(0.580047\pi\)
\(600\) 621577. 779433.i 0.0704882 0.0883895i
\(601\) −9.00660e6 −1.01713 −0.508563 0.861025i \(-0.669823\pi\)
−0.508563 + 0.861025i \(0.669823\pi\)
\(602\) −166462. + 598427.i −0.0187207 + 0.0673008i
\(603\) 9.53524e6 1.06792
\(604\) −7.05226e6 + 8.84326e6i −0.786568 + 0.986325i
\(605\) −3.06963e6 3.84920e6i −0.340956 0.427545i
\(606\) 270335. + 1.18441e6i 0.0299034 + 0.131015i
\(607\) −1.32098e6 636150.i −0.145521 0.0700790i 0.359706 0.933066i \(-0.382877\pi\)
−0.505227 + 0.862987i \(0.668591\pi\)
\(608\) −8.28125e6 −0.908525
\(609\) 48458.2 0.00529449
\(610\) −2.46757e7 1.18832e7i −2.68501 1.29303i
\(611\) 3.67010e6 1.60798e7i 0.397718 1.74252i
\(612\) −2.12522e6 + 1.02345e6i −0.229364 + 0.110456i
\(613\) 3.37929e6 1.48056e7i 0.363223 1.59139i −0.381733 0.924272i \(-0.624673\pi\)
0.744957 0.667113i \(-0.232470\pi\)
\(614\) −5.29810e6 + 6.64361e6i −0.567152 + 0.711186i
\(615\) 5.50911e6 + 2.65305e6i 0.587346 + 0.282851i
\(616\) 349439. 438182.i 0.0371039 0.0465268i
\(617\) −673347. 2.95013e6i −0.0712076 0.311981i 0.926764 0.375645i \(-0.122579\pi\)
−0.997971 + 0.0636637i \(0.979722\pi\)
\(618\) 8.84682e6 4.26040e6i 0.931785 0.448724i
\(619\) 1.38446e7 6.66722e6i 1.45229 0.699388i 0.469302 0.883037i \(-0.344505\pi\)
0.982992 + 0.183649i \(0.0587911\pi\)
\(620\) 2.21813e7 + 2.78145e7i 2.31744 + 2.90597i
\(621\) 1.17084e6 + 5.12977e6i 0.121834 + 0.533788i
\(622\) −2.42212e6 + 1.06120e7i −0.251027 + 1.09982i
\(623\) −334324. 419229.i −0.0345102 0.0432744i
\(624\) −7.90300e6 9.91005e6i −0.812513 1.01886i
\(625\) 2.40975e6 1.05578e7i 0.246759 1.08112i
\(626\) −53519.3 234483.i −0.00545852 0.0239153i
\(627\) 1.79228e6 + 2.24744e6i 0.182069 + 0.228307i
\(628\) −2.87247e7 + 1.38331e7i −2.90640 + 1.39965i
\(629\) −80599.2 + 38814.5i −0.00812277 + 0.00391172i
\(630\) −136134. 596443.i −0.0136652 0.0598711i
\(631\) 1.07519e7 1.34825e7i 1.07501 1.34802i 0.141314 0.989965i \(-0.454867\pi\)
0.933699 0.358059i \(-0.116561\pi\)
\(632\) 1.70143e7 + 8.19363e6i 1.69442 + 0.815988i
\(633\) 226551. 284086.i 0.0224728 0.0281800i
\(634\) −6.94416e6 + 3.04244e7i −0.686114 + 3.00606i
\(635\) 1.84564e7 8.88813e6i 1.81641 0.874735i
\(636\) 698747. 3.06141e6i 0.0684978 0.300109i
\(637\) −1.68562e7 8.11751e6i −1.64593 0.792637i
\(638\) 4.22869e6 0.411295
\(639\) 5.88500e6 0.570157
\(640\) 1.09117e7 + 5.25480e6i 1.05303 + 0.507115i
\(641\) 3.20037e6 + 1.40217e7i 0.307648 + 1.34790i 0.858295 + 0.513157i \(0.171524\pi\)
−0.550646 + 0.834739i \(0.685619\pi\)
\(642\) 771371. + 967269.i 0.0738628 + 0.0926210i
\(643\) −8.52923e6 + 1.06953e7i −0.813546 + 1.02015i 0.185748 + 0.982597i \(0.440529\pi\)
−0.999294 + 0.0375573i \(0.988042\pi\)
\(644\) −659345. −0.0626467
\(645\) −2.71517e6 3.75308e6i −0.256979 0.355213i
\(646\) 2.66858e6 0.251593
\(647\) −1.34722e6 + 1.68935e6i −0.126525 + 0.158657i −0.841059 0.540943i \(-0.818067\pi\)
0.714534 + 0.699601i \(0.246639\pi\)
\(648\) 7.56444e6 + 9.48551e6i 0.707684 + 0.887408i
\(649\) 2.18719e6 + 9.58271e6i 0.203833 + 0.893052i
\(650\) 3.96617e6 + 1.91001e6i 0.368203 + 0.177317i
\(651\) −274117. −0.0253503
\(652\) 3.73400e7 3.43998
\(653\) −9.72309e6 4.68240e6i −0.892322 0.429720i −0.0692122 0.997602i \(-0.522049\pi\)
−0.823110 + 0.567882i \(0.807763\pi\)
\(654\) 2.43527e6 1.06696e7i 0.222639 0.975447i
\(655\) −9.67370e6 + 4.65861e6i −0.881027 + 0.424280i
\(656\) 6.28248e6 2.75253e7i 0.569996 2.49731i
\(657\) 5.28917e6 6.63241e6i 0.478051 0.599457i
\(658\) 682848. + 328842.i 0.0614836 + 0.0296089i
\(659\) −2.47063e6 + 3.09807e6i −0.221612 + 0.277893i −0.880192 0.474618i \(-0.842586\pi\)
0.658579 + 0.752511i \(0.271158\pi\)
\(660\) 1.68981e6 + 7.40356e6i 0.151001 + 0.661578i
\(661\) 6.31992e6 3.04351e6i 0.562610 0.270939i −0.130888 0.991397i \(-0.541783\pi\)
0.693498 + 0.720458i \(0.256069\pi\)
\(662\) −2.37112e7 + 1.14187e7i −2.10285 + 1.01268i
\(663\) 737011. + 924182.i 0.0651163 + 0.0816533i
\(664\) 5.36884e6 + 2.35224e7i 0.472564 + 2.07044i
\(665\) −106244. + 465485.i −0.00931643 + 0.0408180i
\(666\) 693792. + 869988.i 0.0606099 + 0.0760024i
\(667\) −1.70717e6 2.14072e6i −0.148581 0.186314i
\(668\) −5.94020e6 + 2.60257e7i −0.515062 + 2.25664i
\(669\) −337842. 1.48018e6i −0.0291842 0.127864i
\(670\) −1.77681e7 2.22805e7i −1.52916 1.91751i
\(671\) 1.14455e7 5.51187e6i 0.981362 0.472599i
\(672\) 151871. 73137.4i 0.0129734 0.00624765i
\(673\) 4.66953e6 + 2.04586e7i 0.397407 + 1.74115i 0.637542 + 0.770415i \(0.279951\pi\)
−0.240135 + 0.970740i \(0.577192\pi\)
\(674\) −1.46121e7 + 1.83230e7i −1.23898 + 1.55363i
\(675\) 1.00332e6 + 483173.i 0.0847579 + 0.0408172i
\(676\) 3.86778e7 4.85004e7i 3.25533 4.08205i
\(677\) −1.49962e6 + 6.57027e6i −0.125751 + 0.550950i 0.872324 + 0.488928i \(0.162612\pi\)
−0.998075 + 0.0620216i \(0.980245\pi\)
\(678\) −1.24168e6 + 597960.i −0.103737 + 0.0499572i
\(679\) −20222.9 + 88602.1i −0.00168333 + 0.00737513i
\(680\) 3.49586e6 + 1.68352e6i 0.289922 + 0.139619i
\(681\) 5.44966e6 0.450300
\(682\) −2.39207e7 −1.96930
\(683\) −1.33842e7 6.44550e6i −1.09785 0.528695i −0.204866 0.978790i \(-0.565676\pi\)
−0.892981 + 0.450095i \(0.851390\pi\)
\(684\) −5.09542e6 2.23245e7i −0.416428 1.82449i
\(685\) −1.00223e7 1.25676e7i −0.816095 1.02335i
\(686\) 1.07286e6 1.34533e6i 0.0870431 0.109149i
\(687\) −2.94944e6 −0.238423
\(688\) −1.41049e7 + 1.60785e7i −1.13606 + 1.29502i
\(689\) 7.63160e6 0.612445
\(690\) 4.44417e6 5.57281e6i 0.355359 0.445606i
\(691\) −1.26562e6 1.58704e6i −0.100834 0.126442i 0.728854 0.684669i \(-0.240053\pi\)
−0.829688 + 0.558227i \(0.811482\pi\)
\(692\) 1.18143e7 + 5.17617e7i 0.937869 + 4.10907i
\(693\) 255665. + 123122.i 0.0202227 + 0.00973872i
\(694\) 367029. 0.0289269
\(695\) 5.22093e6 0.410002
\(696\) 3.44432e6 + 1.65870e6i 0.269514 + 0.129791i
\(697\) −585886. + 2.56693e6i −0.0456805 + 0.200139i
\(698\) 2.69112e7 1.29597e7i 2.09071 1.00683i
\(699\) −1.10673e6 + 4.84890e6i −0.0856739 + 0.375362i
\(700\) −87005.4 + 109101.i −0.00671122 + 0.00841560i
\(701\) −1.44175e7 6.94311e6i −1.10814 0.533653i −0.211933 0.977284i \(-0.567976\pi\)
−0.896210 + 0.443631i \(0.853690\pi\)
\(702\) 2.02254e7 2.53619e7i 1.54901 1.94240i
\(703\) −193245. 846660.i −0.0147475 0.0646131i
\(704\) −950712. + 457839.i −0.0722965 + 0.0348161i
\(705\) −5.09238e6 + 2.45236e6i −0.385876 + 0.185828i
\(706\) −3.30874e6 4.14903e6i −0.249834 0.313282i
\(707\) −20826.9 91248.6i −0.00156702 0.00686558i
\(708\) −3.59256e6 + 1.57401e7i −0.269353 + 1.18011i
\(709\) −6.73010e6 8.43928e6i −0.502812 0.630506i 0.464049 0.885810i \(-0.346396\pi\)
−0.966861 + 0.255303i \(0.917825\pi\)
\(710\) −1.09662e7 1.37512e7i −0.816413 1.02375i
\(711\) −2.12762e6 + 9.32170e6i −0.157841 + 0.691546i
\(712\) −9.41317e6 4.12418e7i −0.695882 3.04886i
\(713\) 9.65705e6 + 1.21096e7i 0.711411 + 0.892082i
\(714\) −48939.7 + 23568.1i −0.00359265 + 0.00173013i
\(715\) −1.66282e7 + 8.00771e6i −1.21641 + 0.585792i
\(716\) −1.43515e6 6.28779e6i −0.104620 0.458369i
\(717\) 2.50826e6 3.14526e6i 0.182211 0.228485i
\(718\) −1.48649e7 7.15854e6i −1.07609 0.518219i
\(719\) 5.97516e6 7.49261e6i 0.431050 0.540519i −0.518110 0.855314i \(-0.673364\pi\)
0.949160 + 0.314795i \(0.101936\pi\)
\(720\) 4.68762e6 2.05378e7i 0.336993 1.47646i
\(721\) −681568. + 328226.i −0.0488283 + 0.0235145i
\(722\) −168008. + 736092.i −0.0119946 + 0.0525520i
\(723\) 6.23685e6 + 3.00351e6i 0.443731 + 0.213690i
\(724\) 3.28615e7 2.32992
\(725\) −579497. −0.0409455
\(726\) 4.89892e6 + 2.35920e6i 0.344952 + 0.166120i
\(727\) −3.81949e6 1.67343e7i −0.268021 1.17428i −0.912312 0.409496i \(-0.865704\pi\)
0.644291 0.764781i \(-0.277153\pi\)
\(728\) 1.39494e6 + 1.74920e6i 0.0975500 + 0.122324i
\(729\) −1.03267e6 + 1.29493e6i −0.0719689 + 0.0902461i
\(730\) −2.53535e7 −1.76088
\(731\) 1.31539e6 1.49944e6i 0.0910458 0.103785i
\(732\) 2.08662e7 1.43935
\(733\) 1.72072e7 2.15771e7i 1.18291 1.48332i 0.344061 0.938947i \(-0.388197\pi\)
0.838845 0.544370i \(-0.183231\pi\)
\(734\) 1.01622e7 + 1.27430e7i 0.696220 + 0.873033i
\(735\) 1.42667e6 + 6.25066e6i 0.0974105 + 0.426783i
\(736\) −8.58135e6 4.13256e6i −0.583931 0.281206i
\(737\) 1.32183e7 0.896413
\(738\) 3.27508e7 2.21350
\(739\) −1.56688e7 7.54567e6i −1.05542 0.508261i −0.176036 0.984384i \(-0.556328\pi\)
−0.879379 + 0.476123i \(0.842042\pi\)
\(740\) 510505. 2.23667e6i 0.0342705 0.150149i
\(741\) −1.03388e7 + 4.97890e6i −0.691710 + 0.333110i
\(742\) −78035.7 + 341897.i −0.00520335 + 0.0227974i
\(743\) −6.34959e6 + 7.96213e6i −0.421962 + 0.529124i −0.946690 0.322146i \(-0.895596\pi\)
0.524728 + 0.851270i \(0.324167\pi\)
\(744\) −1.94837e7 9.38287e6i −1.29045 0.621446i
\(745\) −1.43426e7 + 1.79850e7i −0.946752 + 1.18719i
\(746\) 512074. + 2.24354e6i 0.0336888 + 0.147600i
\(747\) −1.10063e7 + 5.30033e6i −0.721669 + 0.347537i
\(748\) −2.94610e6 + 1.41877e6i −0.192528 + 0.0927167i
\(749\) −59427.3 74519.4i −0.00387063 0.00485361i
\(750\) 2.36283e6 + 1.03522e7i 0.153383 + 0.672017i
\(751\) −1.49374e6 + 6.54449e6i −0.0966438 + 0.423424i −0.999985 0.00549876i \(-0.998250\pi\)
0.903341 + 0.428923i \(0.141107\pi\)
\(752\) 1.62715e7 + 2.04039e7i 1.04926 + 1.31573i
\(753\) −1.61551e6 2.02579e6i −0.103830 0.130199i
\(754\) −3.75630e6 + 1.64574e7i −0.240620 + 1.05423i
\(755\) 2.09624e6 + 9.18422e6i 0.133836 + 0.586374i
\(756\) 641140. + 803965.i 0.0407989 + 0.0511602i
\(757\) 1.37941e7 6.64287e6i 0.874888 0.421324i 0.0581335 0.998309i \(-0.481485\pi\)
0.816755 + 0.576985i \(0.195771\pi\)
\(758\) −5.45899e6 + 2.62891e6i −0.345095 + 0.166189i