Properties

Label 80.6.q.a.29.13
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 29.13
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.30125 - 3.67413i) q^{2} +(-2.38770 + 2.38770i) q^{3} +(5.00149 + 31.6067i) q^{4} +(4.21193 + 55.7428i) q^{5} +(19.0429 - 1.49737i) q^{6} -204.311 q^{7} +(94.6147 - 154.325i) q^{8} +231.598i q^{9} +O(q^{10})\) \(q+(-4.30125 - 3.67413i) q^{2} +(-2.38770 + 2.38770i) q^{3} +(5.00149 + 31.6067i) q^{4} +(4.21193 + 55.7428i) q^{5} +(19.0429 - 1.49737i) q^{6} -204.311 q^{7} +(94.6147 - 154.325i) q^{8} +231.598i q^{9} +(186.690 - 255.239i) q^{10} +(7.30519 - 7.30519i) q^{11} +(-87.4096 - 63.5254i) q^{12} +(822.372 - 822.372i) q^{13} +(878.792 + 750.665i) q^{14} +(-143.154 - 123.040i) q^{15} +(-973.970 + 316.161i) q^{16} -790.697i q^{17} +(850.921 - 996.160i) q^{18} +(-939.325 - 939.325i) q^{19} +(-1740.78 + 411.922i) q^{20} +(487.834 - 487.834i) q^{21} +(-58.2617 + 4.58120i) q^{22} -2289.29 q^{23} +(142.569 + 594.393i) q^{24} +(-3089.52 + 469.570i) q^{25} +(-6558.73 + 515.722i) q^{26} +(-1133.20 - 1133.20i) q^{27} +(-1021.86 - 6457.60i) q^{28} +(-886.548 - 886.548i) q^{29} +(163.675 + 1055.20i) q^{30} +5111.23 q^{31} +(5350.91 + 2218.61i) q^{32} +34.8853i q^{33} +(-2905.13 + 3400.99i) q^{34} +(-860.544 - 11388.9i) q^{35} +(-7320.05 + 1158.33i) q^{36} +(-629.784 - 629.784i) q^{37} +(589.065 + 7491.48i) q^{38} +3927.16i q^{39} +(9000.99 + 4624.08i) q^{40} -12446.4i q^{41} +(-3890.66 + 305.928i) q^{42} +(-9649.01 - 9649.01i) q^{43} +(267.430 + 194.356i) q^{44} +(-12909.9 + 975.474i) q^{45} +(9846.81 + 8411.16i) q^{46} -3430.22i q^{47} +(1570.65 - 3080.45i) q^{48} +24935.9 q^{49} +(15014.1 + 9331.57i) q^{50} +(1887.95 + 1887.95i) q^{51} +(30105.6 + 21879.4i) q^{52} +(1764.00 + 1764.00i) q^{53} +(710.647 + 9037.70i) q^{54} +(437.981 + 376.443i) q^{55} +(-19330.8 + 31530.2i) q^{56} +4485.66 q^{57} +(555.968 + 7070.56i) q^{58} +(20136.5 - 20136.5i) q^{59} +(3172.92 - 5140.02i) q^{60} +(18141.2 + 18141.2i) q^{61} +(-21984.7 - 18779.3i) q^{62} -47317.9i q^{63} +(-14864.1 - 29202.7i) q^{64} +(49305.1 + 42377.5i) q^{65} +(128.173 - 150.050i) q^{66} +(-47365.4 + 47365.4i) q^{67} +(24991.4 - 3954.66i) q^{68} +(5466.15 - 5466.15i) q^{69} +(-38142.8 + 52148.1i) q^{70} -22178.2i q^{71} +(35741.2 + 21912.6i) q^{72} -9665.73 q^{73} +(394.947 + 5022.77i) q^{74} +(6255.66 - 8498.05i) q^{75} +(24991.0 - 34387.0i) q^{76} +(-1492.53 + 1492.53i) q^{77} +(14428.9 - 16891.7i) q^{78} -72606.8 q^{79} +(-21726.0 - 52960.2i) q^{80} -50866.8 q^{81} +(-45729.6 + 53534.9i) q^{82} +(39192.2 - 39192.2i) q^{83} +(17858.7 + 12978.9i) q^{84} +(44075.7 - 3330.37i) q^{85} +(6051.04 + 76954.5i) q^{86} +4233.63 q^{87} +(-436.192 - 1818.55i) q^{88} -109739. i q^{89} +(59112.7 + 43237.0i) q^{90} +(-168019. + 168019. i) q^{91} +(-11449.9 - 72357.0i) q^{92} +(-12204.1 + 12204.1i) q^{93} +(-12603.1 + 14754.2i) q^{94} +(48404.2 - 56317.0i) q^{95} +(-18073.8 + 7479.00i) q^{96} -49067.5i q^{97} +(-107256. - 91618.0i) q^{98} +(1691.87 + 1691.87i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.30125 3.67413i −0.760361 0.649501i
\(3\) −2.38770 + 2.38770i −0.153171 + 0.153171i −0.779533 0.626361i \(-0.784543\pi\)
0.626361 + 0.779533i \(0.284543\pi\)
\(4\) 5.00149 + 31.6067i 0.156296 + 0.987710i
\(5\) 4.21193 + 55.7428i 0.0753454 + 0.997157i
\(6\) 19.0429 1.49737i 0.215950 0.0169805i
\(7\) −204.311 −1.57596 −0.787982 0.615698i \(-0.788874\pi\)
−0.787982 + 0.615698i \(0.788874\pi\)
\(8\) 94.6147 154.325i 0.522677 0.852531i
\(9\) 231.598i 0.953077i
\(10\) 186.690 255.239i 0.590365 0.807136i
\(11\) 7.30519 7.30519i 0.0182033 0.0182033i −0.697947 0.716150i \(-0.745903\pi\)
0.716150 + 0.697947i \(0.245903\pi\)
\(12\) −87.4096 63.5254i −0.175229 0.127349i
\(13\) 822.372 822.372i 1.34961 1.34961i 0.463537 0.886077i \(-0.346580\pi\)
0.886077 0.463537i \(-0.153420\pi\)
\(14\) 878.792 + 750.665i 1.19830 + 1.02359i
\(15\) −143.154 123.040i −0.164277 0.141195i
\(16\) −973.970 + 316.161i −0.951143 + 0.308751i
\(17\) 790.697i 0.663572i −0.943355 0.331786i \(-0.892349\pi\)
0.943355 0.331786i \(-0.107651\pi\)
\(18\) 850.921 996.160i 0.619025 0.724682i
\(19\) −939.325 939.325i −0.596942 0.596942i 0.342556 0.939498i \(-0.388707\pi\)
−0.939498 + 0.342556i \(0.888707\pi\)
\(20\) −1740.78 + 411.922i −0.973126 + 0.230272i
\(21\) 487.834 487.834i 0.241393 0.241393i
\(22\) −58.2617 + 4.58120i −0.0256641 + 0.00201801i
\(23\) −2289.29 −0.902364 −0.451182 0.892432i \(-0.648997\pi\)
−0.451182 + 0.892432i \(0.648997\pi\)
\(24\) 142.569 + 594.393i 0.0505241 + 0.210642i
\(25\) −3089.52 + 469.570i −0.988646 + 0.150262i
\(26\) −6558.73 + 515.722i −1.90277 + 0.149617i
\(27\) −1133.20 1133.20i −0.299155 0.299155i
\(28\) −1021.86 6457.60i −0.246318 1.55660i
\(29\) −886.548 886.548i −0.195752 0.195752i 0.602424 0.798176i \(-0.294202\pi\)
−0.798176 + 0.602424i \(0.794202\pi\)
\(30\) 163.675 + 1055.20i 0.0332031 + 0.214057i
\(31\) 5111.23 0.955258 0.477629 0.878562i \(-0.341496\pi\)
0.477629 + 0.878562i \(0.341496\pi\)
\(32\) 5350.91 + 2218.61i 0.923746 + 0.383006i
\(33\) 34.8853i 0.00557644i
\(34\) −2905.13 + 3400.99i −0.430991 + 0.504554i
\(35\) −860.544 11388.9i −0.118742 1.57148i
\(36\) −7320.05 + 1158.33i −0.941364 + 0.148963i
\(37\) −629.784 629.784i −0.0756288 0.0756288i 0.668281 0.743909i \(-0.267031\pi\)
−0.743909 + 0.668281i \(0.767031\pi\)
\(38\) 589.065 + 7491.48i 0.0661766 + 0.841605i
\(39\) 3927.16i 0.413444i
\(40\) 9000.99 + 4624.08i 0.889489 + 0.456957i
\(41\) 12446.4i 1.15633i −0.815919 0.578166i \(-0.803768\pi\)
0.815919 0.578166i \(-0.196232\pi\)
\(42\) −3890.66 + 305.928i −0.340330 + 0.0267606i
\(43\) −9649.01 9649.01i −0.795814 0.795814i 0.186618 0.982432i \(-0.440247\pi\)
−0.982432 + 0.186618i \(0.940247\pi\)
\(44\) 267.430 + 194.356i 0.0208247 + 0.0151345i
\(45\) −12909.9 + 975.474i −0.950368 + 0.0718099i
\(46\) 9846.81 + 8411.16i 0.686122 + 0.586086i
\(47\) 3430.22i 0.226505i −0.993566 0.113252i \(-0.963873\pi\)
0.993566 0.113252i \(-0.0361268\pi\)
\(48\) 1570.65 3080.45i 0.0983960 0.192980i
\(49\) 24935.9 1.48366
\(50\) 15014.1 + 9331.57i 0.849323 + 0.527873i
\(51\) 1887.95 + 1887.95i 0.101640 + 0.101640i
\(52\) 30105.6 + 21879.4i 1.54397 + 1.12209i
\(53\) 1764.00 + 1764.00i 0.0862598 + 0.0862598i 0.748920 0.662660i \(-0.230573\pi\)
−0.662660 + 0.748920i \(0.730573\pi\)
\(54\) 710.647 + 9037.70i 0.0331642 + 0.421768i
\(55\) 437.981 + 376.443i 0.0195231 + 0.0167800i
\(56\) −19330.8 + 31530.2i −0.823721 + 1.34356i
\(57\) 4485.66 0.182869
\(58\) 555.968 + 7070.56i 0.0217010 + 0.275984i
\(59\) 20136.5 20136.5i 0.753102 0.753102i −0.221955 0.975057i \(-0.571244\pi\)
0.975057 + 0.221955i \(0.0712439\pi\)
\(60\) 3172.92 5140.02i 0.113784 0.184326i
\(61\) 18141.2 + 18141.2i 0.624226 + 0.624226i 0.946609 0.322384i \(-0.104484\pi\)
−0.322384 + 0.946609i \(0.604484\pi\)
\(62\) −21984.7 18779.3i −0.726341 0.620441i
\(63\) 47317.9i 1.50202i
\(64\) −14864.1 29202.7i −0.453617 0.891197i
\(65\) 49305.1 + 42377.5i 1.44747 + 1.24409i
\(66\) 128.173 150.050i 0.00362191 0.00424011i
\(67\) −47365.4 + 47365.4i −1.28906 + 1.28906i −0.353707 + 0.935356i \(0.615079\pi\)
−0.935356 + 0.353707i \(0.884921\pi\)
\(68\) 24991.4 3954.66i 0.655417 0.103714i
\(69\) 5466.15 5466.15i 0.138216 0.138216i
\(70\) −38142.8 + 52148.1i −0.930395 + 1.27202i
\(71\) 22178.2i 0.522133i −0.965321 0.261066i \(-0.915926\pi\)
0.965321 0.261066i \(-0.0840742\pi\)
\(72\) 35741.2 + 21912.6i 0.812527 + 0.498152i
\(73\) −9665.73 −0.212289 −0.106145 0.994351i \(-0.533851\pi\)
−0.106145 + 0.994351i \(0.533851\pi\)
\(74\) 394.947 + 5022.77i 0.00838416 + 0.106626i
\(75\) 6255.66 8498.05i 0.128416 0.174448i
\(76\) 24991.0 34387.0i 0.496306 0.682905i
\(77\) −1492.53 + 1492.53i −0.0286877 + 0.0286877i
\(78\) 14428.9 16891.7i 0.268533 0.314367i
\(79\) −72606.8 −1.30891 −0.654455 0.756101i \(-0.727102\pi\)
−0.654455 + 0.756101i \(0.727102\pi\)
\(80\) −21726.0 52960.2i −0.379538 0.925176i
\(81\) −50866.8 −0.861433
\(82\) −45729.6 + 53534.9i −0.751040 + 0.879230i
\(83\) 39192.2 39192.2i 0.624460 0.624460i −0.322208 0.946669i \(-0.604425\pi\)
0.946669 + 0.322208i \(0.104425\pi\)
\(84\) 17858.7 + 12978.9i 0.276155 + 0.200697i
\(85\) 44075.7 3330.37i 0.661686 0.0499971i
\(86\) 6051.04 + 76954.5i 0.0882235 + 1.12199i
\(87\) 4233.63 0.0599673
\(88\) −436.192 1818.55i −0.00600441 0.0250333i
\(89\) 109739.i 1.46854i −0.678857 0.734271i \(-0.737524\pi\)
0.678857 0.734271i \(-0.262476\pi\)
\(90\) 59112.7 + 43237.0i 0.769263 + 0.562664i
\(91\) −168019. + 168019.i −2.12694 + 2.12694i
\(92\) −11449.9 72357.0i −0.141036 0.891274i
\(93\) −12204.1 + 12204.1i −0.146318 + 0.146318i
\(94\) −12603.1 + 14754.2i −0.147115 + 0.172225i
\(95\) 48404.2 56317.0i 0.550268 0.640222i
\(96\) −18073.8 + 7479.00i −0.200157 + 0.0828258i
\(97\) 49067.5i 0.529498i −0.964317 0.264749i \(-0.914711\pi\)
0.964317 0.264749i \(-0.0852892\pi\)
\(98\) −107256. 91618.0i −1.12812 0.963641i
\(99\) 1691.87 + 1691.87i 0.0173491 + 0.0173491i
\(100\) −30293.8 95301.0i −0.302938 0.953010i
\(101\) −23503.5 + 23503.5i −0.229261 + 0.229261i −0.812384 0.583123i \(-0.801831\pi\)
0.583123 + 0.812384i \(0.301831\pi\)
\(102\) −1183.96 15057.1i −0.0112678 0.143299i
\(103\) 28898.9 0.268403 0.134202 0.990954i \(-0.457153\pi\)
0.134202 + 0.990954i \(0.457153\pi\)
\(104\) −49103.7 204721.i −0.445175 1.85600i
\(105\) 29248.0 + 25138.5i 0.258894 + 0.222519i
\(106\) −1106.23 14068.6i −0.00956271 0.121614i
\(107\) −72130.2 72130.2i −0.609056 0.609056i 0.333643 0.942699i \(-0.391722\pi\)
−0.942699 + 0.333643i \(0.891722\pi\)
\(108\) 30149.0 41484.4i 0.248722 0.342236i
\(109\) 141202. + 141202.i 1.13835 + 1.13835i 0.988747 + 0.149598i \(0.0477981\pi\)
0.149598 + 0.988747i \(0.452202\pi\)
\(110\) −500.763 3228.37i −0.00394594 0.0254391i
\(111\) 3007.47 0.0231683
\(112\) 198993. 64595.2i 1.49897 0.486581i
\(113\) 123644.i 0.910915i 0.890257 + 0.455458i \(0.150524\pi\)
−0.890257 + 0.455458i \(0.849476\pi\)
\(114\) −19293.9 16480.9i −0.139046 0.118773i
\(115\) −9642.35 127612.i −0.0679889 0.899799i
\(116\) 23586.8 32454.9i 0.162751 0.223942i
\(117\) 190459. + 190459.i 1.28629 + 1.28629i
\(118\) −160596. + 12627.9i −1.06177 + 0.0834884i
\(119\) 161548.i 1.04577i
\(120\) −32532.6 + 10450.8i −0.206237 + 0.0662514i
\(121\) 160944.i 0.999337i
\(122\) −11376.6 144683.i −0.0692013 0.880072i
\(123\) 29718.2 + 29718.2i 0.177117 + 0.177117i
\(124\) 25563.7 + 161549.i 0.149303 + 0.943518i
\(125\) −39188.0 170241.i −0.224325 0.974514i
\(126\) −173852. + 203526.i −0.975561 + 1.14207i
\(127\) 174877.i 0.962108i −0.876691 0.481054i \(-0.840254\pi\)
0.876691 0.481054i \(-0.159746\pi\)
\(128\) −43360.5 + 180221.i −0.233921 + 0.972256i
\(129\) 46078.0 0.243792
\(130\) −56372.7 363430.i −0.292557 1.88609i
\(131\) −206485. 206485.i −1.05126 1.05126i −0.998613 0.0526496i \(-0.983233\pi\)
−0.0526496 0.998613i \(-0.516767\pi\)
\(132\) −1102.61 + 174.478i −0.00550791 + 0.000871578i
\(133\) 191914. + 191914.i 0.940759 + 0.940759i
\(134\) 377757. 29703.6i 1.81740 0.142905i
\(135\) 58394.7 67940.6i 0.275765 0.320845i
\(136\) −122024. 74811.6i −0.565715 0.346834i
\(137\) −376095. −1.71197 −0.855985 0.517001i \(-0.827048\pi\)
−0.855985 + 0.517001i \(0.827048\pi\)
\(138\) −43594.7 + 3427.91i −0.194866 + 0.0153226i
\(139\) 30525.2 30525.2i 0.134005 0.134005i −0.636923 0.770928i \(-0.719793\pi\)
0.770928 + 0.636923i \(0.219793\pi\)
\(140\) 355661. 84160.2i 1.53361 0.362900i
\(141\) 8190.34 + 8190.34i 0.0346940 + 0.0346940i
\(142\) −81485.8 + 95394.1i −0.339126 + 0.397009i
\(143\) 12015.2i 0.0491348i
\(144\) −73222.2 225569.i −0.294264 0.906512i
\(145\) 45684.6 53152.7i 0.180447 0.209945i
\(146\) 41574.7 + 35513.2i 0.161416 + 0.137882i
\(147\) −59539.6 + 59539.6i −0.227255 + 0.227255i
\(148\) 16755.5 23055.3i 0.0628788 0.0865198i
\(149\) −215061. + 215061.i −0.793591 + 0.793591i −0.982076 0.188485i \(-0.939642\pi\)
0.188485 + 0.982076i \(0.439642\pi\)
\(150\) −58130.1 + 13568.1i −0.210947 + 0.0492369i
\(151\) 398090.i 1.42082i 0.703789 + 0.710409i \(0.251490\pi\)
−0.703789 + 0.710409i \(0.748510\pi\)
\(152\) −233835. + 56086.9i −0.820919 + 0.196903i
\(153\) 183124. 0.632435
\(154\) 11903.5 935.988i 0.0404457 0.00318030i
\(155\) 21528.1 + 284914.i 0.0719743 + 0.952543i
\(156\) −124125. + 19641.6i −0.408363 + 0.0646199i
\(157\) −288617. + 288617.i −0.934487 + 0.934487i −0.997982 0.0634954i \(-0.979775\pi\)
0.0634954 + 0.997982i \(0.479775\pi\)
\(158\) 312300. + 266767.i 0.995243 + 0.850138i
\(159\) −8423.82 −0.0264251
\(160\) −101134. + 307619.i −0.312318 + 0.949978i
\(161\) 467727. 1.42209
\(162\) 218791. + 186891.i 0.655000 + 0.559502i
\(163\) −354041. + 354041.i −1.04372 + 1.04372i −0.0447207 + 0.999000i \(0.514240\pi\)
−0.999000 + 0.0447207i \(0.985760\pi\)
\(164\) 393389. 62250.3i 1.14212 0.180731i
\(165\) −1944.60 + 146.934i −0.00556059 + 0.000420159i
\(166\) −312573. + 24578.1i −0.880403 + 0.0692273i
\(167\) 103799. 0.288006 0.144003 0.989577i \(-0.454003\pi\)
0.144003 + 0.989577i \(0.454003\pi\)
\(168\) −29128.5 121441.i −0.0796241 0.331965i
\(169\) 981298.i 2.64292i
\(170\) −201817. 147615.i −0.535593 0.391750i
\(171\) 217546. 217546.i 0.568932 0.568932i
\(172\) 256714. 353233.i 0.661651 0.910416i
\(173\) 274503. 274503.i 0.697320 0.697320i −0.266511 0.963832i \(-0.585871\pi\)
0.963832 + 0.266511i \(0.0858710\pi\)
\(174\) −18209.9 15554.9i −0.0455968 0.0389488i
\(175\) 631222. 95938.3i 1.55807 0.236808i
\(176\) −4805.42 + 9424.65i −0.0116936 + 0.0229342i
\(177\) 96159.9i 0.230707i
\(178\) −403196. + 472015.i −0.953820 + 1.11662i
\(179\) −153872. 153872.i −0.358945 0.358945i 0.504479 0.863424i \(-0.331685\pi\)
−0.863424 + 0.504479i \(0.831685\pi\)
\(180\) −95400.3 403161.i −0.219467 0.927465i
\(181\) −475573. + 475573.i −1.07900 + 1.07900i −0.0823986 + 0.996599i \(0.526258\pi\)
−0.996599 + 0.0823986i \(0.973742\pi\)
\(182\) 1.34002e6 105368.i 2.99870 0.235792i
\(183\) −86631.7 −0.191227
\(184\) −216601. + 353294.i −0.471645 + 0.769293i
\(185\) 32453.3 37758.5i 0.0697155 0.0811121i
\(186\) 97332.3 7653.38i 0.206288 0.0162207i
\(187\) −5776.19 5776.19i −0.0120792 0.0120792i
\(188\) 108418. 17156.2i 0.223721 0.0354019i
\(189\) 231525. + 231525.i 0.471458 + 0.471458i
\(190\) −415115. + 64389.8i −0.834227 + 0.129400i
\(191\) 467996. 0.928237 0.464119 0.885773i \(-0.346371\pi\)
0.464119 + 0.885773i \(0.346371\pi\)
\(192\) 105219. + 34236.4i 0.205987 + 0.0670247i
\(193\) 692800.i 1.33880i −0.742904 0.669398i \(-0.766552\pi\)
0.742904 0.669398i \(-0.233448\pi\)
\(194\) −180281. + 211052.i −0.343910 + 0.402610i
\(195\) −218911. + 16540.9i −0.412269 + 0.0311511i
\(196\) 124717. + 788143.i 0.231891 + 1.46543i
\(197\) −429285. 429285.i −0.788099 0.788099i 0.193084 0.981182i \(-0.438151\pi\)
−0.981182 + 0.193084i \(0.938151\pi\)
\(198\) −1060.99 13493.3i −0.00192331 0.0244599i
\(199\) 39964.9i 0.0715396i 0.999360 + 0.0357698i \(0.0113883\pi\)
−0.999360 + 0.0357698i \(0.988612\pi\)
\(200\) −219848. + 521217.i −0.388640 + 0.921390i
\(201\) 226189.i 0.394895i
\(202\) 187450. 14739.4i 0.323226 0.0254157i
\(203\) 181131. + 181131.i 0.308499 + 0.308499i
\(204\) −50229.4 + 69114.5i −0.0845050 + 0.116277i
\(205\) 693795. 52423.3i 1.15305 0.0871243i
\(206\) −124301. 106178.i −0.204083 0.174328i
\(207\) 530195.i 0.860022i
\(208\) −540964. + 1.06097e6i −0.866981 + 1.70037i
\(209\) −13723.9 −0.0217326
\(210\) −33440.5 215588.i −0.0523269 0.337346i
\(211\) −287809. 287809.i −0.445039 0.445039i 0.448662 0.893701i \(-0.351901\pi\)
−0.893701 + 0.448662i \(0.851901\pi\)
\(212\) −46931.6 + 64576.9i −0.0717176 + 0.0986818i
\(213\) 52955.1 + 52955.1i 0.0799758 + 0.0799758i
\(214\) 45233.9 + 575266.i 0.0675196 + 0.858685i
\(215\) 497222. 578504.i 0.733591 0.853513i
\(216\) −282098. + 67663.1i −0.411401 + 0.0986774i
\(217\) −1.04428e6 −1.50545
\(218\) −88549.8 1.12614e6i −0.126196 1.60491i
\(219\) 23078.9 23078.9i 0.0325166 0.0325166i
\(220\) −9707.57 + 15725.9i −0.0135224 + 0.0219058i
\(221\) −650247. 650247.i −0.895566 0.895566i
\(222\) −12935.9 11049.9i −0.0176163 0.0150479i
\(223\) 181627.i 0.244579i −0.992494 0.122289i \(-0.960976\pi\)
0.992494 0.122289i \(-0.0390236\pi\)
\(224\) −1.09325e6 453286.i −1.45579 0.603604i
\(225\) −108751. 715526.i −0.143212 0.942256i
\(226\) 454286. 531825.i 0.591640 0.692624i
\(227\) −846316. + 846316.i −1.09010 + 1.09010i −0.0945880 + 0.995517i \(0.530153\pi\)
−0.995517 + 0.0945880i \(0.969847\pi\)
\(228\) 22435.0 + 141777.i 0.0285817 + 0.180621i
\(229\) 105988. 105988.i 0.133557 0.133557i −0.637168 0.770725i \(-0.719894\pi\)
0.770725 + 0.637168i \(0.219894\pi\)
\(230\) −427388. + 584316.i −0.532724 + 0.728330i
\(231\) 7127.44i 0.00878827i
\(232\) −220697. + 52935.6i −0.269200 + 0.0645696i
\(233\) −954607. −1.15195 −0.575977 0.817466i \(-0.695378\pi\)
−0.575977 + 0.817466i \(0.695378\pi\)
\(234\) −119440. 1.51899e6i −0.142597 1.81349i
\(235\) 191210. 14447.8i 0.225861 0.0170661i
\(236\) 737161. + 535736.i 0.861553 + 0.626139i
\(237\) 173364. 173364.i 0.200487 0.200487i
\(238\) 593549. 694858.i 0.679226 0.795159i
\(239\) 388730. 0.440204 0.220102 0.975477i \(-0.429361\pi\)
0.220102 + 0.975477i \(0.429361\pi\)
\(240\) 178329. + 74578.0i 0.199845 + 0.0835762i
\(241\) −930233. −1.03169 −0.515845 0.856682i \(-0.672522\pi\)
−0.515845 + 0.856682i \(0.672522\pi\)
\(242\) 591331. 692261.i 0.649071 0.759857i
\(243\) 396822. 396822.i 0.431102 0.431102i
\(244\) −482651. + 664117.i −0.518990 + 0.714118i
\(245\) 105029. + 1.39000e6i 0.111787 + 1.47945i
\(246\) −18636.8 237014.i −0.0196351 0.249710i
\(247\) −1.54495e6 −1.61128
\(248\) 483597. 788787.i 0.499292 0.814387i
\(249\) 187159.i 0.191299i
\(250\) −456930. + 876229.i −0.462380 + 0.886682i
\(251\) 208646. 208646.i 0.209039 0.209039i −0.594820 0.803859i \(-0.702777\pi\)
0.803859 + 0.594820i \(0.202777\pi\)
\(252\) 1.49557e6 236660.i 1.48356 0.234760i
\(253\) −16723.7 + 16723.7i −0.0164260 + 0.0164260i
\(254\) −642522. + 752190.i −0.624890 + 0.731549i
\(255\) −97287.8 + 113192.i −0.0936931 + 0.109009i
\(256\) 848660. 615863.i 0.809345 0.587333i
\(257\) 408389.i 0.385693i −0.981229 0.192846i \(-0.938228\pi\)
0.981229 0.192846i \(-0.0617719\pi\)
\(258\) −198193. 169297.i −0.185370 0.158343i
\(259\) 128672. + 128672.i 0.119188 + 0.119188i
\(260\) −1.09282e6 + 1.77032e6i −1.00257 + 1.62412i
\(261\) 205322. 205322.i 0.186567 0.186567i
\(262\) 129490. + 1.64680e6i 0.116542 + 1.48213i
\(263\) 2.10843e6 1.87962 0.939808 0.341703i \(-0.111004\pi\)
0.939808 + 0.341703i \(0.111004\pi\)
\(264\) 5383.65 + 3300.66i 0.00475409 + 0.00291468i
\(265\) −90900.4 + 105760.i −0.0795154 + 0.0925139i
\(266\) −120352. 1.53059e6i −0.104292 1.32634i
\(267\) 262024. + 262024.i 0.224938 + 0.224938i
\(268\) −1.73396e6 1.26017e6i −1.47470 1.07174i
\(269\) −691074. 691074.i −0.582296 0.582296i 0.353237 0.935534i \(-0.385081\pi\)
−0.935534 + 0.353237i \(0.885081\pi\)
\(270\) −500793. + 77679.6i −0.418070 + 0.0648482i
\(271\) 2.15686e6 1.78402 0.892009 0.452018i \(-0.149296\pi\)
0.892009 + 0.452018i \(0.149296\pi\)
\(272\) 249988. + 770116.i 0.204879 + 0.631152i
\(273\) 802362.i 0.651574i
\(274\) 1.61768e6 + 1.38182e6i 1.30171 + 1.11193i
\(275\) −19139.2 + 25999.8i −0.0152613 + 0.0207319i
\(276\) 200106. + 145428.i 0.158120 + 0.114915i
\(277\) −278905. 278905.i −0.218402 0.218402i 0.589423 0.807825i \(-0.299355\pi\)
−0.807825 + 0.589423i \(0.799355\pi\)
\(278\) −243450. + 19142.8i −0.188929 + 0.0148557i
\(279\) 1.18375e6i 0.910435i
\(280\) −1.83900e6 944751.i −1.40180 0.720149i
\(281\) 432726.i 0.326925i −0.986550 0.163462i \(-0.947734\pi\)
0.986550 0.163462i \(-0.0522662\pi\)
\(282\) −5136.29 65321.1i −0.00384616 0.0489137i
\(283\) −101578. 101578.i −0.0753937 0.0753937i 0.668404 0.743798i \(-0.266978\pi\)
−0.743798 + 0.668404i \(0.766978\pi\)
\(284\) 700981. 110924.i 0.515716 0.0816075i
\(285\) 18893.3 + 250043.i 0.0137783 + 0.182349i
\(286\) −44145.3 + 51680.2i −0.0319131 + 0.0373602i
\(287\) 2.54293e6i 1.82234i
\(288\) −513825. + 1.23926e6i −0.365034 + 0.880401i
\(289\) 794655. 0.559672
\(290\) −391791. + 60771.9i −0.273564 + 0.0424334i
\(291\) 117159. + 117159.i 0.0811040 + 0.0811040i
\(292\) −48343.0 305502.i −0.0331800 0.209680i
\(293\) 94240.7 + 94240.7i 0.0641312 + 0.0641312i 0.738445 0.674314i \(-0.235560\pi\)
−0.674314 + 0.738445i \(0.735560\pi\)
\(294\) 474851. 37338.2i 0.320398 0.0251933i
\(295\) 1.20728e6 + 1.03765e6i 0.807704 + 0.694218i
\(296\) −156778. + 37604.3i −0.104005 + 0.0249464i
\(297\) −16556.5 −0.0108912
\(298\) 1.71520e6 134868.i 1.11885 0.0879770i
\(299\) −1.88265e6 + 1.88265e6i −1.21784 + 1.21784i
\(300\) 299883. + 155218.i 0.192375 + 0.0995725i
\(301\) 1.97140e6 + 1.97140e6i 1.25417 + 1.25417i
\(302\) 1.46263e6 1.71228e6i 0.922823 1.08033i
\(303\) 112239.i 0.0702323i
\(304\) 1.21185e6 + 617897.i 0.752083 + 0.383470i
\(305\) −934832. + 1.08765e6i −0.575419 + 0.669484i
\(306\) −787661. 672821.i −0.480879 0.410767i
\(307\) −947721. + 947721.i −0.573898 + 0.573898i −0.933215 0.359318i \(-0.883009\pi\)
0.359318 + 0.933215i \(0.383009\pi\)
\(308\) −54638.8 39709.1i −0.0328189 0.0238514i
\(309\) −69002.0 + 69002.0i −0.0411117 + 0.0411117i
\(310\) 954214. 1.30458e6i 0.563951 0.771023i
\(311\) 2.74636e6i 1.61011i −0.593197 0.805057i \(-0.702135\pi\)
0.593197 0.805057i \(-0.297865\pi\)
\(312\) 606057. + 371567.i 0.352474 + 0.216098i
\(313\) 2.54786e6 1.46999 0.734996 0.678071i \(-0.237184\pi\)
0.734996 + 0.678071i \(0.237184\pi\)
\(314\) 2.30183e6 180996.i 1.31750 0.103597i
\(315\) 2.63763e6 199300.i 1.49775 0.113170i
\(316\) −363142. 2.29486e6i −0.204578 1.29282i
\(317\) 504610. 504610.i 0.282038 0.282038i −0.551883 0.833921i \(-0.686091\pi\)
0.833921 + 0.551883i \(0.186091\pi\)
\(318\) 36232.9 + 30950.2i 0.0200926 + 0.0171631i
\(319\) −12952.8 −0.00712667
\(320\) 1.56524e6 951568.i 0.854486 0.519475i
\(321\) 344451. 0.186580
\(322\) −2.01181e6 1.71849e6i −1.08130 0.923651i
\(323\) −742722. + 742722.i −0.396114 + 0.396114i
\(324\) −254409. 1.60773e6i −0.134639 0.850846i
\(325\) −2.15457e6 + 2.92689e6i −1.13150 + 1.53709i
\(326\) 2.82361e6 222024.i 1.47150 0.115706i
\(327\) −674296. −0.348724
\(328\) −1.92078e6 1.17761e6i −0.985809 0.604389i
\(329\) 700831.i 0.356963i
\(330\) 8904.07 + 6512.73i 0.00450095 + 0.00329214i
\(331\) 475252. 475252.i 0.238426 0.238426i −0.577772 0.816198i \(-0.696078\pi\)
0.816198 + 0.577772i \(0.196078\pi\)
\(332\) 1.43476e6 + 1.04272e6i 0.714387 + 0.519185i
\(333\) 145857. 145857.i 0.0720801 0.0720801i
\(334\) −446464. 381371.i −0.218988 0.187060i
\(335\) −2.83978e6 2.44078e6i −1.38252 1.18827i
\(336\) −320902. + 629370.i −0.155069 + 0.304129i
\(337\) 938105.i 0.449963i 0.974363 + 0.224981i \(0.0722322\pi\)
−0.974363 + 0.224981i \(0.927768\pi\)
\(338\) −3.60542e6 + 4.22081e6i −1.71658 + 2.00957i
\(339\) −295226. 295226.i −0.139526 0.139526i
\(340\) 325706. + 1.37643e6i 0.152802 + 0.645739i
\(341\) 37338.5 37338.5i 0.0173888 0.0173888i
\(342\) −1.73501e6 + 136426.i −0.802115 + 0.0630714i
\(343\) −1.66083e6 −0.762237
\(344\) −2.40202e6 + 576141.i −1.09441 + 0.262502i
\(345\) 327722. + 281676.i 0.148237 + 0.127409i
\(346\) −2.18927e6 + 172145.i −0.983125 + 0.0773045i
\(347\) 248248. + 248248.i 0.110678 + 0.110678i 0.760277 0.649599i \(-0.225063\pi\)
−0.649599 + 0.760277i \(0.725063\pi\)
\(348\) 21174.4 + 133811.i 0.00937268 + 0.0592303i
\(349\) −1.93382e6 1.93382e6i −0.849868 0.849868i 0.140248 0.990116i \(-0.455210\pi\)
−0.990116 + 0.140248i \(0.955210\pi\)
\(350\) −3.06753e6 1.90654e6i −1.33850 0.831909i
\(351\) −1.86382e6 −0.807489
\(352\) 55296.7 22882.0i 0.0237872 0.00984324i
\(353\) 2.19854e6i 0.939068i 0.882914 + 0.469534i \(0.155578\pi\)
−0.882914 + 0.469534i \(0.844422\pi\)
\(354\) 353304. 413608.i 0.149845 0.175421i
\(355\) 1.23628e6 93413.2i 0.520649 0.0393403i
\(356\) 3.46849e6 548858.i 1.45049 0.229528i
\(357\) −385729. 385729.i −0.160181 0.160181i
\(358\) 96495.7 + 1.22719e6i 0.0397924 + 0.506063i
\(359\) 2.15212e6i 0.881314i 0.897675 + 0.440657i \(0.145255\pi\)
−0.897675 + 0.440657i \(0.854745\pi\)
\(360\) −1.07093e6 + 2.08461e6i −0.435516 + 0.847751i
\(361\) 711435.i 0.287321i
\(362\) 3.79288e6 298239.i 1.52124 0.119617i
\(363\) −384287. 384287.i −0.153070 0.153070i
\(364\) −6.15089e6 4.47020e6i −2.43324 1.76837i
\(365\) −40711.4 538795.i −0.0159950 0.211686i
\(366\) 372624. + 318296.i 0.145401 + 0.124202i
\(367\) 3.20823e6i 1.24337i −0.783268 0.621684i \(-0.786449\pi\)
0.783268 0.621684i \(-0.213551\pi\)
\(368\) 2.22970e6 723785.i 0.858277 0.278606i
\(369\) 2.88255e6 1.10207
\(370\) −278320. + 43171.0i −0.105691 + 0.0163941i
\(371\) −360404. 360404.i −0.135942 0.135942i
\(372\) −446770. 324693.i −0.167389 0.121651i
\(373\) −84251.7 84251.7i −0.0313550 0.0313550i 0.691255 0.722610i \(-0.257058\pi\)
−0.722610 + 0.691255i \(0.757058\pi\)
\(374\) 3622.34 + 46067.4i 0.00133909 + 0.0170300i
\(375\) 500054. + 312915.i 0.183628 + 0.114907i
\(376\) −529367. 324549.i −0.193102 0.118389i
\(377\) −1.45814e6 −0.528381
\(378\) −145193. 1.84650e6i −0.0522656 0.664691i
\(379\) −3.23099e6 + 3.23099e6i −1.15541 + 1.15541i −0.169965 + 0.985450i \(0.554365\pi\)
−0.985450 + 0.169965i \(0.945635\pi\)
\(380\) 2.02209e6 + 1.24823e6i 0.718359 + 0.443441i
\(381\) 417555. + 417555.i 0.147367 + 0.147367i
\(382\) −2.01297e6 1.71948e6i −0.705795 0.602891i
\(383\) 1.61188e6i 0.561483i 0.959783 + 0.280742i \(0.0905804\pi\)
−0.959783 + 0.280742i \(0.909420\pi\)
\(384\) −326782. 533846.i −0.113092 0.184752i
\(385\) −89484.2 76911.3i −0.0307677 0.0264447i
\(386\) −2.54544e6 + 2.97990e6i −0.869550 + 1.01797i
\(387\) 2.23469e6 2.23469e6i 0.758472 0.758472i
\(388\) 1.55086e6 245410.i 0.522991 0.0827587i
\(389\) 3.73857e6 3.73857e6i 1.25266 1.25266i 0.298132 0.954525i \(-0.403637\pi\)
0.954525 0.298132i \(-0.0963634\pi\)
\(390\) 1.00236e6 + 733161.i 0.333706 + 0.244083i
\(391\) 1.81014e6i 0.598783i
\(392\) 2.35931e6 3.84823e6i 0.775477 1.26487i
\(393\) 986052. 0.322047
\(394\) 269212. + 3.42372e6i 0.0873681 + 1.11111i
\(395\) −305815. 4.04731e6i −0.0986203 1.30519i
\(396\) −45012.5 + 61936.2i −0.0144243 + 0.0198475i
\(397\) −1.74583e6 + 1.74583e6i −0.555938 + 0.555938i −0.928148 0.372210i \(-0.878600\pi\)
0.372210 + 0.928148i \(0.378600\pi\)
\(398\) 146836. 171899.i 0.0464650 0.0543959i
\(399\) −916469. −0.288195
\(400\) 2.86064e6 1.43413e6i 0.893950 0.448167i
\(401\) −1.35372e6 −0.420404 −0.210202 0.977658i \(-0.567412\pi\)
−0.210202 + 0.977658i \(0.567412\pi\)
\(402\) −831049. + 972896.i −0.256485 + 0.300263i
\(403\) 4.20333e6 4.20333e6i 1.28923 1.28923i
\(404\) −860422. 625317.i −0.262276 0.190611i
\(405\) −214247. 2.83546e6i −0.0649050 0.858984i
\(406\) −113590. 1.44459e6i −0.0342000 0.434941i
\(407\) −9201.38 −0.00275338
\(408\) 469985. 112729.i 0.139776 0.0335263i
\(409\) 1.90810e6i 0.564017i −0.959412 0.282009i \(-0.908999\pi\)
0.959412 0.282009i \(-0.0910007\pi\)
\(410\) −3.17680e6 2.32361e6i −0.933318 0.682659i
\(411\) 898003. 898003.i 0.262225 0.262225i
\(412\) 144537. + 913399.i 0.0419505 + 0.265105i
\(413\) −4.11410e6 + 4.11410e6i −1.18686 + 1.18686i
\(414\) −1.94801e6 + 2.28050e6i −0.558585 + 0.653927i
\(415\) 2.34976e6 + 2.01961e6i 0.669735 + 0.575635i
\(416\) 6.22496e6 2.57591e6i 1.76361 0.729790i
\(417\) 145770.i 0.0410515i
\(418\) 59029.9 + 50423.4i 0.0165246 + 0.0141154i
\(419\) −65344.2 65344.2i −0.0181833 0.0181833i 0.697957 0.716140i \(-0.254093\pi\)
−0.716140 + 0.697957i \(0.754093\pi\)
\(420\) −648263. + 1.05016e6i −0.179320 + 0.290491i
\(421\) 1.57640e6 1.57640e6i 0.433472 0.433472i −0.456336 0.889808i \(-0.650838\pi\)
0.889808 + 0.456336i \(0.150838\pi\)
\(422\) 180489. + 2.29539e6i 0.0493368 + 0.627443i
\(423\) 794431. 0.215876
\(424\) 439129. 105328.i 0.118625 0.0284531i
\(425\) 371288. + 2.44287e6i 0.0997099 + 0.656038i
\(426\) −33208.9 422337.i −0.00886606 0.112755i
\(427\) −3.70645e6 3.70645e6i −0.983757 0.983757i
\(428\) 1.91904e6 2.64056e6i 0.506378 0.696765i
\(429\) 28688.7 + 28688.7i 0.00752605 + 0.00752605i
\(430\) −4.26417e6 + 661429.i −1.11215 + 0.172509i
\(431\) −4.12684e6 −1.07010 −0.535050 0.844820i \(-0.679707\pi\)
−0.535050 + 0.844820i \(0.679707\pi\)
\(432\) 1.46198e6 + 745429.i 0.376904 + 0.192175i
\(433\) 285635.i 0.0732137i −0.999330 0.0366068i \(-0.988345\pi\)
0.999330 0.0366068i \(-0.0116549\pi\)
\(434\) 4.49170e6 + 3.83682e6i 1.14469 + 0.977793i
\(435\) 17831.8 + 235994.i 0.00451826 + 0.0597968i
\(436\) −3.75671e6 + 5.16915e6i −0.946436 + 1.30227i
\(437\) 2.15039e6 + 2.15039e6i 0.538659 + 0.538659i
\(438\) −184063. + 14473.1i −0.0458439 + 0.00360477i
\(439\) 873584.i 0.216343i −0.994132 0.108172i \(-0.965500\pi\)
0.994132 0.108172i \(-0.0344996\pi\)
\(440\) 99533.8 31974.1i 0.0245097 0.00787349i
\(441\) 5.77511e6i 1.41405i
\(442\) 407780. + 5.18597e6i 0.0992819 + 1.26262i
\(443\) −2.76738e6 2.76738e6i −0.669978 0.669978i 0.287733 0.957711i \(-0.407098\pi\)
−0.957711 + 0.287733i \(0.907098\pi\)
\(444\) 15041.8 + 95056.4i 0.00362113 + 0.0228836i
\(445\) 6.11716e6 462214.i 1.46437 0.110648i
\(446\) −667323. + 781224.i −0.158854 + 0.185968i
\(447\) 1.02701e6i 0.243111i
\(448\) 3.03690e6 + 5.96644e6i 0.714884 + 1.40449i
\(449\) 635868. 0.148851 0.0744253 0.997227i \(-0.476288\pi\)
0.0744253 + 0.997227i \(0.476288\pi\)
\(450\) −2.16117e6 + 3.47722e6i −0.503104 + 0.809470i
\(451\) −90923.0 90923.0i −0.0210491 0.0210491i
\(452\) −3.90799e6 + 618405.i −0.899720 + 0.142373i
\(453\) −950520. 950520.i −0.217629 0.217629i
\(454\) 6.74970e6 530738.i 1.53690 0.120848i
\(455\) −1.00736e7 8.65819e6i −2.28115 1.96064i
\(456\) 424410. 692248.i 0.0955813 0.155901i
\(457\) 3.88189e6 0.869465 0.434733 0.900560i \(-0.356843\pi\)
0.434733 + 0.900560i \(0.356843\pi\)
\(458\) −845292. + 66466.5i −0.188297 + 0.0148060i
\(459\) −896017. + 896017.i −0.198511 + 0.198511i
\(460\) 3.98516e6 943010.i 0.878114 0.207789i
\(461\) −3.23884e6 3.23884e6i −0.709801 0.709801i 0.256692 0.966493i \(-0.417367\pi\)
−0.966493 + 0.256692i \(0.917367\pi\)
\(462\) −26187.2 + 30656.9i −0.00570799 + 0.00668226i
\(463\) 6.50893e6i 1.41110i 0.708661 + 0.705549i \(0.249300\pi\)
−0.708661 + 0.705549i \(0.750700\pi\)
\(464\) 1.14376e6 + 583179.i 0.246627 + 0.125750i
\(465\) −731693. 628888.i −0.156927 0.134878i
\(466\) 4.10600e6 + 3.50736e6i 0.875900 + 0.748195i
\(467\) 920279. 920279.i 0.195266 0.195266i −0.602701 0.797967i \(-0.705909\pi\)
0.797967 + 0.602701i \(0.205909\pi\)
\(468\) −5.06722e6 + 6.97238e6i −1.06944 + 1.47152i
\(469\) 9.67727e6 9.67727e6i 2.03152 2.03152i
\(470\) −875525. 640387.i −0.182820 0.133720i
\(471\) 1.37827e6i 0.286273i
\(472\) −1.20235e6 5.01276e6i −0.248413 1.03567i
\(473\) −140976. −0.0289729
\(474\) −1.38264e6 + 108719.i −0.282660 + 0.0222259i
\(475\) 3.34314e6 + 2.46098e6i 0.679862 + 0.500466i
\(476\) −5.10601e6 + 807980.i −1.03291 + 0.163449i
\(477\) −408538. + 408538.i −0.0822123 + 0.0822123i
\(478\) −1.67203e6 1.42825e6i −0.334713 0.285913i
\(479\) −5.87203e6 −1.16936 −0.584682 0.811263i \(-0.698781\pi\)
−0.584682 + 0.811263i \(0.698781\pi\)
\(480\) −493026. 975981.i −0.0976712 0.193347i
\(481\) −1.03583e6 −0.204139
\(482\) 4.00116e6 + 3.41780e6i 0.784456 + 0.670084i
\(483\) −1.11679e6 + 1.11679e6i −0.217824 + 0.217824i
\(484\) −5.08692e6 + 804960.i −0.987056 + 0.156193i
\(485\) 2.73516e6 206669.i 0.527993 0.0398953i
\(486\) −3.16481e6 + 248853.i −0.607794 + 0.0477917i
\(487\) 1.70380e6 0.325533 0.162767 0.986665i \(-0.447958\pi\)
0.162767 + 0.986665i \(0.447958\pi\)
\(488\) 4.51606e6 1.08321e6i 0.858440 0.205903i
\(489\) 1.69069e6i 0.319736i
\(490\) 4.65529e6 6.36462e6i 0.875904 1.19752i
\(491\) 2.80246e6 2.80246e6i 0.524609 0.524609i −0.394351 0.918960i \(-0.629030\pi\)
0.918960 + 0.394351i \(0.129030\pi\)
\(492\) −790661. + 1.08793e6i −0.147258 + 0.202623i
\(493\) −700991. + 700991.i −0.129896 + 0.129896i
\(494\) 6.64521e6 + 5.67635e6i 1.22516 + 1.04653i
\(495\) −87183.3 + 101435.i −0.0159926 + 0.0186070i
\(496\) −4.97818e6 + 1.61597e6i −0.908587 + 0.294937i
\(497\) 4.53125e6i 0.822863i
\(498\) 687647. 805017.i 0.124249 0.145456i
\(499\) 7.03735e6 + 7.03735e6i 1.26520 + 1.26520i 0.948541 + 0.316656i \(0.102560\pi\)
0.316656 + 0.948541i \(0.397440\pi\)
\(500\) 5.18475e6 2.09006e6i 0.927477 0.373881i
\(501\) −247841. + 247841.i −0.0441142 + 0.0441142i
\(502\) −1.66404e6 + 130845.i −0.294716 + 0.0231739i
\(503\) −2.95566e6 −0.520876 −0.260438 0.965491i \(-0.583867\pi\)
−0.260438 + 0.965491i \(0.583867\pi\)
\(504\) −7.30232e6 4.47697e6i −1.28051 0.785069i
\(505\) −1.40915e6 1.21116e6i −0.245883 0.211335i
\(506\) 133378. 10487.7i 0.0231584 0.00182097i
\(507\) 2.34305e6 + 2.34305e6i 0.404819 + 0.404819i
\(508\) 5.52730e6 874646.i 0.950284 0.150374i
\(509\) 3.42130e6 + 3.42130e6i 0.585324 + 0.585324i 0.936361 0.351038i \(-0.114171\pi\)
−0.351038 + 0.936361i \(0.614171\pi\)
\(510\) 834340. 129417.i 0.142042 0.0220326i
\(511\) 1.97481e6 0.334560
\(512\) −5.91306e6 469110.i −0.996868 0.0790861i
\(513\) 2.12888e6i 0.357157i
\(514\) −1.50048e6 + 1.75658e6i −0.250508 + 0.293266i
\(515\) 121720. + 1.61090e6i 0.0202230 + 0.267640i
\(516\) 230458. + 1.45637e6i 0.0381038 + 0.240796i
\(517\) −25058.4 25058.4i −0.00412313 0.00412313i
\(518\) −80692.0 1.02621e6i −0.0132131 0.168039i
\(519\) 1.31087e6i 0.213619i
\(520\) 1.12049e7 3.59945e6i 1.81718 0.583751i
\(521\) 9.04223e6i 1.45942i 0.683755 + 0.729712i \(0.260346\pi\)
−0.683755 + 0.729712i \(0.739654\pi\)
\(522\) −1.63753e6 + 128761.i −0.263034 + 0.0206827i
\(523\) −1.83296e6 1.83296e6i −0.293021 0.293021i 0.545252 0.838272i \(-0.316434\pi\)
−0.838272 + 0.545252i \(0.816434\pi\)
\(524\) 5.49360e6 7.55906e6i 0.874034 1.20265i
\(525\) −1.27810e6 + 1.73624e6i −0.202380 + 0.274924i
\(526\) −9.06887e6 7.74664e6i −1.42919 1.22081i
\(527\) 4.04143e6i 0.633883i
\(528\) −11029.4 33977.2i −0.00172173 0.00530399i
\(529\) −1.19549e6 −0.185740
\(530\) 779562. 120920.i 0.120548 0.0186986i
\(531\) 4.66356e6 + 4.66356e6i 0.717764 + 0.717764i
\(532\) −5.10593e6 + 7.02564e6i −0.782160 + 1.07623i
\(533\) −1.02355e7 1.02355e7i −1.56060 1.56060i
\(534\) −164320. 2.08975e6i −0.0249365 0.317132i
\(535\) 3.71693e6 4.32455e6i 0.561436 0.653215i
\(536\) 2.82818e6 + 1.17911e7i 0.425202 + 1.77273i
\(537\) 734803. 0.109960
\(538\) 433383. + 5.51158e6i 0.0645530 + 0.820957i
\(539\) 182162. 182162.i 0.0270075 0.0270075i
\(540\) 2.43944e6 + 1.50586e6i 0.360003 + 0.222229i
\(541\) −2.88062e6 2.88062e6i −0.423149 0.423149i 0.463138 0.886286i \(-0.346724\pi\)
−0.886286 + 0.463138i \(0.846724\pi\)
\(542\) −9.27720e6 7.92460e6i −1.35650 1.15872i
\(543\) 2.27105e6i 0.330543i
\(544\) 1.75425e6 4.23095e6i 0.254152 0.612972i
\(545\) −7.27625e6 + 8.46572e6i −1.04934 + 1.22088i
\(546\) −2.94798e6 + 3.45116e6i −0.423198 + 0.495431i
\(547\) 1.38654e6 1.38654e6i 0.198136 0.198136i −0.601065 0.799200i \(-0.705257\pi\)
0.799200 + 0.601065i \(0.205257\pi\)
\(548\) −1.88103e6 1.18871e7i −0.267575 1.69093i
\(549\) −4.20146e6 + 4.20146e6i −0.594935 + 0.594935i
\(550\) 177849. 41511.6i 0.0250695 0.00585144i
\(551\) 1.66551e6i 0.233706i
\(552\) −326383. 1.36074e6i −0.0455911 0.190076i
\(553\) 1.48344e7 2.06280
\(554\) 174906. + 2.22438e6i 0.0242120 + 0.307917i
\(555\) 12667.3 + 167645.i 0.00174563 + 0.0231025i
\(556\) 1.11747e6 + 812130.i 0.153303 + 0.111414i
\(557\) 1.46274e6 1.46274e6i 0.199770 0.199770i −0.600132 0.799901i \(-0.704885\pi\)
0.799901 + 0.600132i \(0.204885\pi\)
\(558\) 4.34925e6 5.09160e6i 0.591328 0.692259i
\(559\) −1.58701e7 −2.14808
\(560\) 4.43886e6 + 1.08203e7i 0.598138 + 1.45804i
\(561\) 27583.7 0.00370037
\(562\) −1.58989e6 + 1.86126e6i −0.212338 + 0.248581i
\(563\) 7.57456e6 7.57456e6i 1.00713 1.00713i 0.00715802 0.999974i \(-0.497722\pi\)
0.999974 0.00715802i \(-0.00227849\pi\)
\(564\) −217906. + 299834.i −0.0288451 + 0.0396902i
\(565\) −6.89228e6 + 520782.i −0.908326 + 0.0686332i
\(566\) 63701.3 + 810126.i 0.00835810 + 0.106295i
\(567\) 1.03926e7 1.35759
\(568\) −3.42264e6 2.09839e6i −0.445134 0.272907i
\(569\) 1.31326e7i 1.70047i −0.526404 0.850234i \(-0.676460\pi\)
0.526404 0.850234i \(-0.323540\pi\)
\(570\) 837428. 1.14492e6i 0.107959 0.147600i
\(571\) −3.88971e6 + 3.88971e6i −0.499261 + 0.499261i −0.911208 0.411947i \(-0.864849\pi\)
0.411947 + 0.911208i \(0.364849\pi\)
\(572\) 379760. 60093.7i 0.0485310 0.00767960i
\(573\) −1.11744e6 + 1.11744e6i −0.142179 + 0.142179i
\(574\) 9.34306e6 1.09378e7i 1.18361 1.38563i
\(575\) 7.07281e6 1.07498e6i 0.892118 0.135591i
\(576\) 6.76329e6 3.44250e6i 0.849379 0.432332i
\(577\) 6.78954e6i 0.848987i −0.905431 0.424493i \(-0.860452\pi\)
0.905431 0.424493i \(-0.139548\pi\)
\(578\) −3.41801e6 2.91967e6i −0.425553 0.363508i
\(579\) 1.65420e6 + 1.65420e6i 0.205065 + 0.205065i
\(580\) 1.90847e6 + 1.17810e6i 0.235568 + 0.145416i
\(581\) −8.00740e6 + 8.00740e6i −0.984127 + 0.984127i
\(582\) −73472.0 934385.i −0.00899114 0.114345i
\(583\) 25772.7 0.00314043
\(584\) −914520. + 1.49166e6i −0.110959 + 0.180983i
\(585\) −9.81454e6 + 1.14189e7i −1.18571 + 1.37955i
\(586\) −59099.8 751606.i −0.00710955 0.0904162i
\(587\) 1.03528e7 + 1.03528e7i 1.24011 + 1.24011i 0.959953 + 0.280162i \(0.0903883\pi\)
0.280162 + 0.959953i \(0.409612\pi\)
\(588\) −2.17964e6 1.58407e6i −0.259981 0.188943i
\(589\) −4.80110e6 4.80110e6i −0.570234 0.570234i
\(590\) −1.38033e6 8.89889e6i −0.163250 1.05246i
\(591\) 2.05001e6 0.241428
\(592\) 812504. + 414278.i 0.0952843 + 0.0485833i
\(593\) 8.02352e6i 0.936975i −0.883470 0.468487i \(-0.844799\pi\)
0.883470 0.468487i \(-0.155201\pi\)
\(594\) 71213.5 + 60830.7i 0.00828125 + 0.00707386i
\(595\) −9.00514e6 + 680430.i −1.04279 + 0.0787936i
\(596\) −7.87301e6 5.72176e6i −0.907873 0.659802i
\(597\) −95424.4 95424.4i −0.0109578 0.0109578i
\(598\) 1.50148e7 1.18064e6i 1.71699 0.135009i
\(599\) 9.69909e6i 1.10450i 0.833680 + 0.552248i \(0.186230\pi\)
−0.833680 + 0.552248i \(0.813770\pi\)
\(600\) −719580. 1.76944e6i −0.0816020 0.200659i
\(601\) 3.68052e6i 0.415645i 0.978167 + 0.207822i \(0.0666376\pi\)
−0.978167 + 0.207822i \(0.933362\pi\)
\(602\) −1.23629e6 1.57226e7i −0.139037 1.76821i
\(603\) −1.09697e7 1.09697e7i −1.22858 1.22858i
\(604\) −1.25823e7 + 1.99104e6i −1.40336 + 0.222069i
\(605\) −8.97148e6 + 677887.i −0.996497 + 0.0752954i
\(606\) −412381. + 482768.i −0.0456160 + 0.0534019i
\(607\) 1.45674e7i 1.60476i 0.596816 + 0.802378i \(0.296432\pi\)
−0.596816 + 0.802378i \(0.703568\pi\)
\(608\) −2.94225e6 7.11024e6i −0.322790 0.780055i
\(609\) −864976. −0.0945063
\(610\) 8.01712e6 1.24356e6i 0.872356 0.135314i
\(611\) −2.82091e6 2.82091e6i −0.305694 0.305694i
\(612\) 915891. + 5.78794e6i 0.0988474 + 0.624663i
\(613\) 3.01883e6 + 3.01883e6i 0.324480 + 0.324480i 0.850483 0.526003i \(-0.176310\pi\)
−0.526003 + 0.850483i \(0.676310\pi\)
\(614\) 7.55843e6 594330.i 0.809116 0.0636219i
\(615\) −1.53141e6 + 1.78175e6i −0.163269 + 0.189958i
\(616\) 89118.7 + 371549.i 0.00946274 + 0.0394516i
\(617\) 9.24495e6 0.977668 0.488834 0.872377i \(-0.337422\pi\)
0.488834 + 0.872377i \(0.337422\pi\)
\(618\) 550317. 43272.2i 0.0579618 0.00455762i
\(619\) 2.21835e6 2.21835e6i 0.232704 0.232704i −0.581116 0.813821i \(-0.697384\pi\)
0.813821 + 0.581116i \(0.197384\pi\)
\(620\) −8.89753e6 + 2.10543e6i −0.929587 + 0.219969i
\(621\) 2.59422e6 + 2.59422e6i 0.269947 + 0.269947i
\(622\) −1.00905e7 + 1.18128e7i −1.04577 + 1.22427i
\(623\) 2.24209e7i 2.31437i
\(624\) −1.24162e6 3.82494e6i −0.127651 0.393245i
\(625\) 9.32463e6 2.90149e6i 0.954842 0.297113i
\(626\) −1.09590e7 9.36119e6i −1.11772 0.954762i
\(627\) 32768.6 32768.6i 0.00332881 0.00332881i
\(628\) −1.05658e7 7.67873e6i −1.06906 0.776945i
\(629\) −497968. + 497968.i −0.0501851 + 0.0501851i
\(630\) −1.20774e7 8.83378e6i −1.21233 0.886738i
\(631\) 2.84036e6i 0.283988i −0.989867 0.141994i \(-0.954649\pi\)
0.989867 0.141994i \(-0.0453514\pi\)
\(632\) −6.86967e6 + 1.12050e7i −0.684137 + 1.11589i
\(633\) 1.37440e6 0.136334
\(634\) −4.02446e6 + 316449.i −0.397635 + 0.0312666i
\(635\) 9.74815e6 736571.i 0.959373 0.0724904i
\(636\) −42131.6 266249.i −0.00413014 0.0261003i
\(637\) 2.05066e7 2.05066e7i 2.00237 2.00237i
\(638\) 55713.2 + 47590.3i 0.00541884 + 0.00462878i
\(639\) 5.13643e6 0.497633
\(640\) −1.02287e7 1.65796e6i −0.987117 0.160001i
\(641\) −9.78237e6 −0.940371 −0.470185 0.882568i \(-0.655813\pi\)
−0.470185 + 0.882568i \(0.655813\pi\)
\(642\) −1.48157e6 1.26556e6i −0.141868 0.121184i
\(643\) −9.11126e6 + 9.11126e6i −0.869063 + 0.869063i −0.992369 0.123306i \(-0.960650\pi\)
0.123306 + 0.992369i \(0.460650\pi\)
\(644\) 2.33933e6 + 1.47833e7i 0.222268 + 1.40462i
\(645\) 194077. + 2.56851e6i 0.0183686 + 0.243099i
\(646\) 5.92349e6 465772.i 0.558466 0.0439129i
\(647\) −9.19590e6 −0.863642 −0.431821 0.901959i \(-0.642129\pi\)
−0.431821 + 0.901959i \(0.642129\pi\)
\(648\) −4.81274e6 + 7.84999e6i −0.450252 + 0.734398i
\(649\) 294202.i 0.0274178i
\(650\) 2.00212e7 4.67312e6i 1.85868 0.433834i
\(651\) 2.49343e6 2.49343e6i 0.230592 0.230592i
\(652\) −1.29608e7 9.41934e6i −1.19402 0.867763i
\(653\) −9.20865e6 + 9.20865e6i −0.845110 + 0.845110i −0.989518 0.144409i \(-0.953872\pi\)
0.144409 + 0.989518i \(0.453872\pi\)
\(654\) 2.90032e6 + 2.47745e6i 0.265156 + 0.226496i
\(655\) 1.06404e7 1.23798e7i 0.969067 1.12748i
\(656\) 3.93506e6 + 1.21224e7i 0.357019 + 1.09984i
\(657\) 2.23856e6i 0.202328i
\(658\) 2.57495e6 3.01445e6i 0.231848 0.271421i
\(659\) −4.97483e6 4.97483e6i −0.446236 0.446236i 0.447865 0.894101i \(-0.352184\pi\)
−0.894101 + 0.447865i \(0.852184\pi\)
\(660\) −14370.0 60727.6i −0.00128410 0.00542658i
\(661\) 1.14820e6 1.14820e6i 0.102215 0.102215i −0.654150 0.756365i \(-0.726974\pi\)
0.756365 + 0.654150i \(0.226974\pi\)
\(662\) −3.79032e6 + 298038.i −0.336148 + 0.0264318i
\(663\) 3.10520e6 0.274350
\(664\) −2.34016e6 9.75649e6i −0.205980 0.858763i
\(665\) −9.88951e6 + 1.15062e7i −0.867203 + 1.00897i
\(666\) −1.16326e6 + 91468.9i −0.101623 + 0.00799075i
\(667\) 2.02957e6 + 2.02957e6i 0.176640 + 0.176640i
\(668\) 519148. + 3.28074e6i 0.0450143 + 0.284466i
\(669\) 433672. + 433672.i 0.0374624 + 0.0374624i
\(670\) 3.24685e6 + 2.09321e7i 0.279431 + 1.80147i
\(671\) 265050. 0.0227259
\(672\) 3.69267e6 1.52804e6i 0.315440 0.130530i
\(673\) 4.30351e6i 0.366256i −0.983089 0.183128i \(-0.941378\pi\)
0.983089 0.183128i \(-0.0586223\pi\)
\(674\) 3.44672e6 4.03502e6i 0.292251 0.342134i
\(675\) 4.03316e6 + 2.96892e6i 0.340711 + 0.250807i
\(676\) 3.10156e7 4.90795e6i 2.61044 0.413079i
\(677\) 520806. + 520806.i 0.0436721 + 0.0436721i 0.728606 0.684933i \(-0.240169\pi\)
−0.684933 + 0.728606i \(0.740169\pi\)
\(678\) 185141. + 2.35454e6i 0.0154678 + 0.196712i
\(679\) 1.00250e7i 0.834471i
\(680\) 3.65625e6 7.11706e6i 0.303224 0.590240i
\(681\) 4.04151e6i 0.333945i
\(682\) −297789. + 23415.5i −0.0245159 + 0.00192772i
\(683\) 1.18287e7 + 1.18287e7i 0.970253 + 0.970253i 0.999570 0.0293176i \(-0.00933342\pi\)
−0.0293176 + 0.999570i \(0.509333\pi\)
\(684\) 7.96396e6 + 5.78785e6i 0.650861 + 0.473018i
\(685\) −1.58409e6 2.09646e7i −0.128989 1.70710i
\(686\) 7.14364e6 + 6.10211e6i 0.579575 + 0.495074i
\(687\) 506134.i 0.0409142i
\(688\) 1.24485e7 + 6.34721e6i 1.00264 + 0.511224i
\(689\) 2.90133e6 0.232835
\(690\) −374699. 2.41565e6i −0.0299612 0.193157i
\(691\) −2.29334e6 2.29334e6i −0.182714 0.182714i 0.609823 0.792538i \(-0.291240\pi\)
−0.792538 + 0.609823i \(0.791240\pi\)
\(692\) 1.00491e7 + 7.30323e6i 0.797739 + 0.579762i
\(693\) −345666. 345666.i −0.0273416 0.0273416i
\(694\) −155680. 1.97987e6i −0.0122697 0.156041i
\(695\) 1.83013e6 + 1.57299e6i 0.143721 + 0.123528i
\(696\) 400563. 653353.i 0.0313436 0.0511240i
\(697\) −9.84131e6 −0.767310
\(698\) 1.21273e6 + 1.54229e7i 0.0942159 + 1.19820i
\(699\) 2.27932e6 2.27932e6i 0.176446 0.176446i
\(700\) 6.18934e6 + 1.94710e7i 0.477419 + 1.50191i
\(701\) 8.18706e6 + 8.18706e6i 0.629264 + 0.629264i 0.947883 0.318619i \(-0.103219\pi\)
−0.318619 + 0.947883i \(0.603219\pi\)
\(702\) 8.01676e6 + 6.84793e6i 0.613983 + 0.524465i
\(703\) 1.18314e6i 0.0902920i
\(704\) −321917. 104746.i −0.0244800 0.00796539i
\(705\) −422055. + 491050.i −0.0319813 + 0.0372094i
\(706\) 8.07772e6 9.45645e6i 0.609926 0.714030i
\(707\) 4.80203e6 4.80203e6i 0.361307 0.361307i
\(708\) −3.03930e6 + 480943.i −0.227872 + 0.0360587i
\(709\) 3.39423e6 3.39423e6i 0.253586 0.253586i −0.568853 0.822439i \(-0.692613\pi\)
0.822439 + 0.568853i \(0.192613\pi\)
\(710\) −5.66075e6 4.14045e6i −0.421432 0.308249i
\(711\) 1.68156e7i 1.24749i
\(712\) −1.69354e7 1.03829e7i −1.25198 0.767573i
\(713\) −1.17011e7 −0.861990
\(714\) 241897. + 3.07634e6i 0.0177576 + 0.225833i
\(715\) 669759. 50607.1i 0.0489952 0.00370208i
\(716\) 4.09381e6 5.63299e6i 0.298432 0.410636i
\(717\) −928173. + 928173.i −0.0674266 + 0.0674266i
\(718\) 7.90718e6 9.25681e6i 0.572415 0.670117i
\(719\) 1.30309e7 0.940054 0.470027 0.882652i \(-0.344244\pi\)
0.470027 + 0.882652i \(0.344244\pi\)
\(720\) 1.22655e7 5.03169e6i 0.881764 0.361729i
\(721\) −5.90436e6 −0.422994
\(722\) −2.61391e6 + 3.06006e6i −0.186615 + 0.218468i
\(723\) 2.22112e6 2.22112e6i 0.158025 0.158025i
\(724\) −1.74099e7 1.26527e7i −1.23438 0.897094i
\(725\) 3.15530e6 + 2.32271e6i 0.222944 + 0.164116i
\(726\) 240992. + 3.06484e6i 0.0169692 + 0.215807i
\(727\) −2.38060e6 −0.167051 −0.0835257 0.996506i \(-0.526618\pi\)
−0.0835257 + 0.996506i \(0.526618\pi\)
\(728\) 1.00324e7 + 4.18266e7i 0.701580 + 2.92499i
\(729\) 1.04656e7i 0.729368i
\(730\) −1.80449e6 + 2.46707e6i −0.125328 + 0.171346i
\(731\) −7.62945e6 + 7.62945e6i −0.528080 + 0.528080i
\(732\) −433287. 2.73814e6i −0.0298881 0.188877i
\(733\) −1.10593e7 + 1.10593e7i −0.760272 + 0.760272i −0.976371 0.216100i \(-0.930666\pi\)
0.216100 + 0.976371i \(0.430666\pi\)
\(734\) −1.17875e7 + 1.37994e7i −0.807570 + 0.945409i
\(735\) −3.56968e6 3.06813e6i −0.243731 0.209486i
\(736\) −1.22498e7 5.07904e6i −0.833555 0.345611i
\(737\) 692026.i 0.0469304i
\(738\) −1.23986e7 1.05909e7i −0.837974 0.715799i
\(739\) 1.66816e7 + 1.66816e7i 1.12364 + 1.12364i 0.991190 + 0.132450i \(0.0422843\pi\)
0.132450 + 0.991190i \(0.457716\pi\)
\(740\) 1.35574e6 + 836894.i 0.0910115 + 0.0561812i
\(741\) 3.68888e6 3.68888e6i 0.246802 0.246802i
\(742\) 226015. + 2.87436e6i 0.0150705 + 0.191660i
\(743\) 1.76437e7 1.17251 0.586255 0.810126i \(-0.300602\pi\)
0.586255 + 0.810126i \(0.300602\pi\)
\(744\) 728704. + 3.03808e6i 0.0482635 + 0.201218i
\(745\) −1.28939e7 1.10823e7i −0.851128 0.731542i
\(746\) 52835.5 + 671939.i 0.00347599 + 0.0442062i
\(747\) 9.07683e6 + 9.07683e6i 0.595159 + 0.595159i
\(748\) 153677. 211456.i 0.0100428 0.0138187i
\(749\) 1.47370e7 + 1.47370e7i 0.959851 + 0.959851i
\(750\) −1.00116e6 3.18319e6i −0.0649908 0.206638i
\(751\) 1.84260e7 1.19215 0.596076 0.802928i \(-0.296726\pi\)
0.596076 + 0.802928i \(0.296726\pi\)
\(752\) 1.08450e6 + 3.34093e6i 0.0699335 + 0.215438i
\(753\) 996372.i 0.0640375i
\(754\) 6.27184e6 + 5.35741e6i 0.401760 + 0.343184i
\(755\) −2.21906e7 + 1.67673e6i −1.41678 + 0.107052i
\(756\) −6.15978e6 + 8.47571e6i −0.391977 + 0.539351i
\(757\) 4.32086e6 + 4.32086e6i 0.274051 + 0.274051i 0.830728 0.556678i \(-0.187924\pi\)
−0.556678 + 0.830728i \(0.687924\pi\)
\(758\) 2.57684e7 2.02621e6i 1.62898 0.128089i
\(759\) 79862.5i 0.00503198i
\(760\) −4.11134e6 1.27984e7i −0.258196 0.803750i
\(761\) 2.18090e7i