Properties

Label 80.6.q.a.29.7
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 29.7
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.29707 + 1.98521i) q^{2} +(7.43164 - 7.43164i) q^{3} +(24.1179 - 21.0316i) q^{4} +(-55.3405 + 7.90104i) q^{5} +(-24.6125 + 54.1193i) q^{6} +59.4492 q^{7} +(-86.0017 + 159.285i) q^{8} +132.541i q^{9} +O(q^{10})\) \(q+(-5.29707 + 1.98521i) q^{2} +(7.43164 - 7.43164i) q^{3} +(24.1179 - 21.0316i) q^{4} +(-55.3405 + 7.90104i) q^{5} +(-24.6125 + 54.1193i) q^{6} +59.4492 q^{7} +(-86.0017 + 159.285i) q^{8} +132.541i q^{9} +(277.457 - 151.715i) q^{10} +(-153.290 + 153.290i) q^{11} +(22.9358 - 335.535i) q^{12} +(495.659 - 495.659i) q^{13} +(-314.907 + 118.019i) q^{14} +(-352.553 + 469.989i) q^{15} +(139.342 - 1014.48i) q^{16} -861.157i q^{17} +(-263.123 - 702.081i) q^{18} +(1507.32 + 1507.32i) q^{19} +(-1168.52 + 1354.46i) q^{20} +(441.805 - 441.805i) q^{21} +(507.674 - 1116.30i) q^{22} +998.793 q^{23} +(544.616 + 1822.88i) q^{24} +(3000.15 - 874.495i) q^{25} +(-1641.55 + 3609.53i) q^{26} +(2790.89 + 2790.89i) q^{27} +(1433.79 - 1250.31i) q^{28} +(3889.68 + 3889.68i) q^{29} +(934.471 - 3189.46i) q^{30} +6285.42 q^{31} +(1275.85 + 5650.37i) q^{32} +2278.39i q^{33} +(1709.58 + 4561.61i) q^{34} +(-3289.95 + 469.711i) q^{35} +(2787.56 + 3196.61i) q^{36} +(7913.50 + 7913.50i) q^{37} +(-10976.8 - 4992.04i) q^{38} -7367.12i q^{39} +(3500.86 - 9494.42i) q^{40} -10383.2i q^{41} +(-1463.20 + 3217.35i) q^{42} +(-11904.7 - 11904.7i) q^{43} +(-473.090 + 6920.97i) q^{44} +(-1047.21 - 7334.91i) q^{45} +(-5290.68 + 1982.82i) q^{46} +10518.0i q^{47} +(-6503.68 - 8574.76i) q^{48} -13272.8 q^{49} +(-14155.9 + 10588.2i) q^{50} +(-6399.81 - 6399.81i) q^{51} +(1529.72 - 22378.7i) q^{52} +(5698.77 + 5698.77i) q^{53} +(-20324.0 - 9243.02i) q^{54} +(7272.00 - 9694.30i) q^{55} +(-5112.73 + 9469.37i) q^{56} +22403.8 q^{57} +(-28325.8 - 12882.1i) q^{58} +(22000.0 - 22000.0i) q^{59} +(1381.79 + 18749.9i) q^{60} +(31061.7 + 31061.7i) q^{61} +(-33294.3 + 12477.9i) q^{62} +7879.48i q^{63} +(-17975.4 - 27397.6i) q^{64} +(-23513.8 + 31346.2i) q^{65} +(-4523.10 - 12068.8i) q^{66} +(-703.105 + 703.105i) q^{67} +(-18111.5 - 20769.3i) q^{68} +(7422.67 - 7422.67i) q^{69} +(16494.6 - 9019.34i) q^{70} -27364.3i q^{71} +(-21111.9 - 11398.8i) q^{72} -14815.9 q^{73} +(-57628.4 - 26208.4i) q^{74} +(15797.1 - 28795.0i) q^{75} +(68054.9 + 4651.96i) q^{76} +(-9112.98 + 9112.98i) q^{77} +(14625.3 + 39024.1i) q^{78} -2727.79 q^{79} +(304.146 + 57242.5i) q^{80} +9274.23 q^{81} +(20612.9 + 55000.7i) q^{82} +(-35245.6 + 35245.6i) q^{83} +(1363.52 - 19947.3i) q^{84} +(6804.04 + 47656.9i) q^{85} +(86693.3 + 39426.6i) q^{86} +57813.5 q^{87} +(-11233.6 - 37600.0i) q^{88} +112845. i q^{89} +(20108.5 + 36774.6i) q^{90} +(29466.5 - 29466.5i) q^{91} +(24088.8 - 21006.2i) q^{92} +(46711.0 - 46711.0i) q^{93} +(-20880.5 - 55714.7i) q^{94} +(-95325.6 - 71506.7i) q^{95} +(51473.1 + 32509.9i) q^{96} -49998.0i q^{97} +(70306.9 - 26349.3i) q^{98} +(-20317.3 - 20317.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.29707 + 1.98521i −0.936398 + 0.350939i
\(3\) 7.43164 7.43164i 0.476740 0.476740i −0.427347 0.904087i \(-0.640552\pi\)
0.904087 + 0.427347i \(0.140552\pi\)
\(4\) 24.1179 21.0316i 0.753683 0.657238i
\(5\) −55.3405 + 7.90104i −0.989961 + 0.141338i
\(6\) −24.6125 + 54.1193i −0.279112 + 0.613725i
\(7\) 59.4492 0.458565 0.229283 0.973360i \(-0.426362\pi\)
0.229283 + 0.973360i \(0.426362\pi\)
\(8\) −86.0017 + 159.285i −0.475097 + 0.879934i
\(9\) 132.541i 0.545438i
\(10\) 277.457 151.715i 0.877397 0.479765i
\(11\) −153.290 + 153.290i −0.381973 + 0.381973i −0.871812 0.489840i \(-0.837055\pi\)
0.489840 + 0.871812i \(0.337055\pi\)
\(12\) 22.9358 335.535i 0.0459792 0.672643i
\(13\) 495.659 495.659i 0.813438 0.813438i −0.171710 0.985148i \(-0.554929\pi\)
0.985148 + 0.171710i \(0.0549291\pi\)
\(14\) −314.907 + 118.019i −0.429400 + 0.160929i
\(15\) −352.553 + 469.989i −0.404573 + 0.539336i
\(16\) 139.342 1014.48i 0.136076 0.990698i
\(17\) 861.157i 0.722703i −0.932430 0.361352i \(-0.882315\pi\)
0.932430 0.361352i \(-0.117685\pi\)
\(18\) −263.123 702.081i −0.191416 0.510747i
\(19\) 1507.32 + 1507.32i 0.957906 + 0.957906i 0.999149 0.0412433i \(-0.0131319\pi\)
−0.0412433 + 0.999149i \(0.513132\pi\)
\(20\) −1168.52 + 1354.46i −0.653224 + 0.757164i
\(21\) 441.805 441.805i 0.218616 0.218616i
\(22\) 507.674 1116.30i 0.223629 0.491728i
\(23\) 998.793 0.393691 0.196846 0.980434i \(-0.436930\pi\)
0.196846 + 0.980434i \(0.436930\pi\)
\(24\) 544.616 + 1822.88i 0.193002 + 0.645997i
\(25\) 3000.15 874.495i 0.960047 0.279838i
\(26\) −1641.55 + 3609.53i −0.476234 + 1.04717i
\(27\) 2790.89 + 2790.89i 0.736772 + 0.736772i
\(28\) 1433.79 1250.31i 0.345613 0.301387i
\(29\) 3889.68 + 3889.68i 0.858854 + 0.858854i 0.991203 0.132349i \(-0.0422521\pi\)
−0.132349 + 0.991203i \(0.542252\pi\)
\(30\) 934.471 3189.46i 0.189567 0.647014i
\(31\) 6285.42 1.17471 0.587354 0.809330i \(-0.300170\pi\)
0.587354 + 0.809330i \(0.300170\pi\)
\(32\) 1275.85 + 5650.37i 0.220254 + 0.975443i
\(33\) 2278.39i 0.364203i
\(34\) 1709.58 + 4561.61i 0.253625 + 0.676738i
\(35\) −3289.95 + 469.711i −0.453962 + 0.0648127i
\(36\) 2787.56 + 3196.61i 0.358482 + 0.411087i
\(37\) 7913.50 + 7913.50i 0.950308 + 0.950308i 0.998822 0.0485142i \(-0.0154486\pi\)
−0.0485142 + 0.998822i \(0.515449\pi\)
\(38\) −10976.8 4992.04i −1.23315 0.560814i
\(39\) 7367.12i 0.775597i
\(40\) 3500.86 9494.42i 0.345959 0.938250i
\(41\) 10383.2i 0.964657i −0.875991 0.482328i \(-0.839791\pi\)
0.875991 0.482328i \(-0.160209\pi\)
\(42\) −1463.20 + 3217.35i −0.127991 + 0.281433i
\(43\) −11904.7 11904.7i −0.981854 0.981854i 0.0179841 0.999838i \(-0.494275\pi\)
−0.999838 + 0.0179841i \(0.994275\pi\)
\(44\) −473.090 + 6920.97i −0.0368393 + 0.538933i
\(45\) −1047.21 7334.91i −0.0770911 0.539962i
\(46\) −5290.68 + 1982.82i −0.368652 + 0.138162i
\(47\) 10518.0i 0.694528i 0.937767 + 0.347264i \(0.112889\pi\)
−0.937767 + 0.347264i \(0.887111\pi\)
\(48\) −6503.68 8574.76i −0.407433 0.537179i
\(49\) −13272.8 −0.789718
\(50\) −14155.9 + 10588.2i −0.800780 + 0.598959i
\(51\) −6399.81 6399.81i −0.344542 0.344542i
\(52\) 1529.72 22378.7i 0.0784520 1.14770i
\(53\) 5698.77 + 5698.77i 0.278671 + 0.278671i 0.832578 0.553907i \(-0.186864\pi\)
−0.553907 + 0.832578i \(0.686864\pi\)
\(54\) −20324.0 9243.02i −0.948474 0.431350i
\(55\) 7272.00 9694.30i 0.324151 0.432126i
\(56\) −5112.73 + 9469.37i −0.217863 + 0.403507i
\(57\) 22403.8 0.913344
\(58\) −28325.8 12882.1i −1.10563 0.502823i
\(59\) 22000.0 22000.0i 0.822795 0.822795i −0.163713 0.986508i \(-0.552347\pi\)
0.986508 + 0.163713i \(0.0523471\pi\)
\(60\) 1381.79 + 18749.9i 0.0495524 + 0.672389i
\(61\) 31061.7 + 31061.7i 1.06881 + 1.06881i 0.997451 + 0.0713582i \(0.0227333\pi\)
0.0713582 + 0.997451i \(0.477267\pi\)
\(62\) −33294.3 + 12477.9i −1.09999 + 0.412251i
\(63\) 7879.48i 0.250119i
\(64\) −17975.4 27397.6i −0.548566 0.836107i
\(65\) −23513.8 + 31346.2i −0.690303 + 0.920242i
\(66\) −4523.10 12068.8i −0.127813 0.341039i
\(67\) −703.105 + 703.105i −0.0191352 + 0.0191352i −0.716610 0.697474i \(-0.754307\pi\)
0.697474 + 0.716610i \(0.254307\pi\)
\(68\) −18111.5 20769.3i −0.474988 0.544689i
\(69\) 7422.67 7422.67i 0.187689 0.187689i
\(70\) 16494.6 9019.34i 0.402344 0.220004i
\(71\) 27364.3i 0.644227i −0.946701 0.322114i \(-0.895607\pi\)
0.946701 0.322114i \(-0.104393\pi\)
\(72\) −21111.9 11398.8i −0.479949 0.259136i
\(73\) −14815.9 −0.325403 −0.162701 0.986675i \(-0.552021\pi\)
−0.162701 + 0.986675i \(0.552021\pi\)
\(74\) −57628.4 26208.4i −1.22337 0.556366i
\(75\) 15797.1 28795.0i 0.324283 0.591103i
\(76\) 68054.9 + 4651.96i 1.35153 + 0.0923852i
\(77\) −9112.98 + 9112.98i −0.175159 + 0.175159i
\(78\) 14625.3 + 39024.1i 0.272188 + 0.726268i
\(79\) −2727.79 −0.0491749 −0.0245874 0.999698i \(-0.507827\pi\)
−0.0245874 + 0.999698i \(0.507827\pi\)
\(80\) 304.146 + 57242.5i 0.00531322 + 0.999986i
\(81\) 9274.23 0.157060
\(82\) 20612.9 + 55000.7i 0.338536 + 0.903303i
\(83\) −35245.6 + 35245.6i −0.561577 + 0.561577i −0.929755 0.368178i \(-0.879982\pi\)
0.368178 + 0.929755i \(0.379982\pi\)
\(84\) 1363.52 19947.3i 0.0210844 0.308451i
\(85\) 6804.04 + 47656.9i 0.102146 + 0.715449i
\(86\) 86693.3 + 39426.6i 1.26398 + 0.574835i
\(87\) 57813.5 0.818900
\(88\) −11233.6 37600.0i −0.154637 0.517585i
\(89\) 112845.i 1.51011i 0.655663 + 0.755054i \(0.272389\pi\)
−0.655663 + 0.755054i \(0.727611\pi\)
\(90\) 20108.5 + 36774.6i 0.261682 + 0.478565i
\(91\) 29466.5 29466.5i 0.373014 0.373014i
\(92\) 24088.8 21006.2i 0.296719 0.258749i
\(93\) 46711.0 46711.0i 0.560030 0.560030i
\(94\) −20880.5 55714.7i −0.243737 0.650355i
\(95\) −95325.6 71506.7i −1.08368 0.812901i
\(96\) 51473.1 + 32509.9i 0.570036 + 0.360029i
\(97\) 49998.0i 0.539539i −0.962925 0.269770i \(-0.913052\pi\)
0.962925 0.269770i \(-0.0869476\pi\)
\(98\) 70306.9 26349.3i 0.739490 0.277143i
\(99\) −20317.3 20317.3i −0.208342 0.208342i
\(100\) 53965.1 84188.9i 0.539651 0.841889i
\(101\) −61876.4 + 61876.4i −0.603562 + 0.603562i −0.941256 0.337694i \(-0.890353\pi\)
0.337694 + 0.941256i \(0.390353\pi\)
\(102\) 46605.2 + 21195.2i 0.443542 + 0.201715i
\(103\) −75107.0 −0.697569 −0.348785 0.937203i \(-0.613406\pi\)
−0.348785 + 0.937203i \(0.613406\pi\)
\(104\) 36323.5 + 121579.i 0.329310 + 1.10223i
\(105\) −20959.0 + 27940.5i −0.185523 + 0.247321i
\(106\) −41500.1 18873.5i −0.358744 0.163150i
\(107\) −118403. 118403.i −0.999775 0.999775i 0.000224863 1.00000i \(-0.499928\pi\)
−1.00000 0.000224863i \(0.999928\pi\)
\(108\) 126007. + 8613.35i 1.03953 + 0.0710579i
\(109\) 50917.5 + 50917.5i 0.410488 + 0.410488i 0.881909 0.471420i \(-0.156259\pi\)
−0.471420 + 0.881909i \(0.656259\pi\)
\(110\) −19275.0 + 65787.9i −0.151884 + 0.518399i
\(111\) 117621. 0.906100
\(112\) 8283.78 60309.8i 0.0623998 0.454300i
\(113\) 130018.i 0.957873i −0.877850 0.478937i \(-0.841022\pi\)
0.877850 0.478937i \(-0.158978\pi\)
\(114\) −118674. + 44476.3i −0.855254 + 0.320529i
\(115\) −55273.7 + 7891.50i −0.389739 + 0.0556436i
\(116\) 175617. + 12004.5i 1.21177 + 0.0828321i
\(117\) 65695.3 + 65695.3i 0.443680 + 0.443680i
\(118\) −72860.6 + 160210.i −0.481713 + 1.05922i
\(119\) 51195.1i 0.331407i
\(120\) −44542.0 96576.3i −0.282369 0.612234i
\(121\) 114055.i 0.708194i
\(122\) −226200. 102872.i −1.37592 0.625744i
\(123\) −77164.4 77164.4i −0.459890 0.459890i
\(124\) 151591. 132193.i 0.885357 0.772063i
\(125\) −159120. + 72099.3i −0.910858 + 0.412720i
\(126\) −15642.5 41738.2i −0.0877766 0.234211i
\(127\) 136398.i 0.750408i −0.926942 0.375204i \(-0.877573\pi\)
0.926942 0.375204i \(-0.122427\pi\)
\(128\) 149607. + 109442.i 0.807099 + 0.590415i
\(129\) −176943. −0.936178
\(130\) 62325.2 212723.i 0.323449 1.10397i
\(131\) 205048. + 205048.i 1.04394 + 1.04394i 0.998989 + 0.0449532i \(0.0143139\pi\)
0.0449532 + 0.998989i \(0.485686\pi\)
\(132\) 47918.3 + 54950.0i 0.239368 + 0.274494i
\(133\) 89609.3 + 89609.3i 0.439262 + 0.439262i
\(134\) 2328.58 5120.21i 0.0112029 0.0246335i
\(135\) −176500. 132398.i −0.833510 0.625242i
\(136\) 137169. + 74061.0i 0.635931 + 0.343354i
\(137\) 190425. 0.866807 0.433404 0.901200i \(-0.357312\pi\)
0.433404 + 0.901200i \(0.357312\pi\)
\(138\) −24582.8 + 54054.0i −0.109884 + 0.241618i
\(139\) −113923. + 113923.i −0.500122 + 0.500122i −0.911476 0.411354i \(-0.865056\pi\)
0.411354 + 0.911476i \(0.365056\pi\)
\(140\) −69467.8 + 80521.4i −0.299546 + 0.347209i
\(141\) 78166.3 + 78166.3i 0.331109 + 0.331109i
\(142\) 54324.1 + 144951.i 0.226085 + 0.603253i
\(143\) 151959.i 0.621422i
\(144\) 134460. + 18468.6i 0.540364 + 0.0742211i
\(145\) −245990. 184525.i −0.971621 0.728843i
\(146\) 78480.9 29412.8i 0.304707 0.114197i
\(147\) −98638.6 + 98638.6i −0.376490 + 0.376490i
\(148\) 357291. + 24423.0i 1.34081 + 0.0916524i
\(149\) −15911.7 + 15911.7i −0.0587152 + 0.0587152i −0.735855 0.677139i \(-0.763219\pi\)
0.677139 + 0.735855i \(0.263219\pi\)
\(150\) −26514.1 + 183889.i −0.0962164 + 0.667312i
\(151\) 384847.i 1.37356i −0.726867 0.686778i \(-0.759025\pi\)
0.726867 0.686778i \(-0.240975\pi\)
\(152\) −369727. + 110462.i −1.29799 + 0.387796i
\(153\) 114139. 0.394190
\(154\) 30180.9 66363.3i 0.102549 0.225489i
\(155\) −347838. + 49661.3i −1.16292 + 0.166031i
\(156\) −154942. 177679.i −0.509752 0.584554i
\(157\) −76600.1 + 76600.1i −0.248016 + 0.248016i −0.820156 0.572140i \(-0.806113\pi\)
0.572140 + 0.820156i \(0.306113\pi\)
\(158\) 14449.3 5415.25i 0.0460473 0.0172574i
\(159\) 84702.5 0.265707
\(160\) −115250. 302614.i −0.355910 0.934520i
\(161\) 59377.5 0.180533
\(162\) −49126.2 + 18411.3i −0.147071 + 0.0551185i
\(163\) −266716. + 266716.i −0.786286 + 0.786286i −0.980883 0.194597i \(-0.937660\pi\)
0.194597 + 0.980883i \(0.437660\pi\)
\(164\) −218376. 250421.i −0.634009 0.727045i
\(165\) −18001.7 126088.i −0.0514758 0.360547i
\(166\) 116728. 256668.i 0.328780 0.722939i
\(167\) 580995. 1.61206 0.806030 0.591874i \(-0.201612\pi\)
0.806030 + 0.591874i \(0.201612\pi\)
\(168\) 32377.0 + 108369.i 0.0885040 + 0.296232i
\(169\) 120062.i 0.323363i
\(170\) −130651. 238934.i −0.346728 0.634098i
\(171\) −199783. + 199783.i −0.522478 + 0.522478i
\(172\) −537491. 36740.7i −1.38532 0.0946948i
\(173\) −288957. + 288957.i −0.734036 + 0.734036i −0.971417 0.237381i \(-0.923711\pi\)
0.237381 + 0.971417i \(0.423711\pi\)
\(174\) −306242. + 114772.i −0.766816 + 0.287384i
\(175\) 178356. 51988.1i 0.440244 0.128324i
\(176\) 134149. + 176869.i 0.326442 + 0.430397i
\(177\) 326992.i 0.784519i
\(178\) −224022. 597748.i −0.529956 1.41406i
\(179\) −300075. 300075.i −0.699999 0.699999i 0.264411 0.964410i \(-0.414822\pi\)
−0.964410 + 0.264411i \(0.914822\pi\)
\(180\) −179522. 154878.i −0.412986 0.356293i
\(181\) 450607. 450607.i 1.02236 1.02236i 0.0226108 0.999744i \(-0.492802\pi\)
0.999744 0.0226108i \(-0.00719784\pi\)
\(182\) −97588.9 + 214584.i −0.218385 + 0.480196i
\(183\) 461678. 1.01909
\(184\) −85897.9 + 159093.i −0.187041 + 0.346422i
\(185\) −500462. 375413.i −1.07508 0.806454i
\(186\) −154700. + 340162.i −0.327875 + 0.720948i
\(187\) 132007. + 132007.i 0.276053 + 0.276053i
\(188\) 221211. + 253672.i 0.456470 + 0.523454i
\(189\) 165916. + 165916.i 0.337858 + 0.337858i
\(190\) 646902. + 189534.i 1.30003 + 0.380894i
\(191\) −70223.9 −0.139284 −0.0696420 0.997572i \(-0.522186\pi\)
−0.0696420 + 0.997572i \(0.522186\pi\)
\(192\) −337196. 70021.9i −0.660129 0.137082i
\(193\) 593768.i 1.14742i −0.819058 0.573711i \(-0.805503\pi\)
0.819058 0.573711i \(-0.194497\pi\)
\(194\) 99256.6 + 264843.i 0.189346 + 0.505224i
\(195\) 58207.9 + 407700.i 0.109621 + 0.767811i
\(196\) −320111. + 279148.i −0.595197 + 0.519033i
\(197\) 685255. + 685255.i 1.25802 + 1.25802i 0.952039 + 0.305978i \(0.0989835\pi\)
0.305978 + 0.952039i \(0.401017\pi\)
\(198\) 147956. + 67287.9i 0.268207 + 0.121976i
\(199\) 721164.i 1.29093i −0.763792 0.645463i \(-0.776664\pi\)
0.763792 0.645463i \(-0.223336\pi\)
\(200\) −118724. + 553086.i −0.209876 + 0.977728i
\(201\) 10450.4i 0.0182450i
\(202\) 204926. 450602.i 0.353361 0.776988i
\(203\) 231239. + 231239.i 0.393840 + 0.393840i
\(204\) −288948. 19751.3i −0.486121 0.0332293i
\(205\) 82038.3 + 574613.i 0.136343 + 0.954973i
\(206\) 397847. 149103.i 0.653203 0.244805i
\(207\) 132381.i 0.214734i
\(208\) −433767. 571900.i −0.695182 0.916561i
\(209\) −462116. −0.731788
\(210\) 55553.6 189611.i 0.0869288 0.296698i
\(211\) 654873. + 654873.i 1.01263 + 1.01263i 0.999919 + 0.0127109i \(0.00404613\pi\)
0.0127109 + 0.999919i \(0.495954\pi\)
\(212\) 257297. + 17587.8i 0.393183 + 0.0268764i
\(213\) −203362. 203362.i −0.307129 0.307129i
\(214\) 862242. + 392133.i 1.28705 + 0.585327i
\(215\) 752871. + 564752.i 1.11077 + 0.833224i
\(216\) −684568. + 204526.i −0.998349 + 0.298273i
\(217\) 373663. 0.538680
\(218\) −370795. 168631.i −0.528437 0.240324i
\(219\) −110107. + 110107.i −0.155133 + 0.155133i
\(220\) −28501.8 386748.i −0.0397023 0.538730i
\(221\) −426840. 426840.i −0.587875 0.587875i
\(222\) −623045. + 233502.i −0.848471 + 0.317986i
\(223\) 57781.0i 0.0778077i 0.999243 + 0.0389039i \(0.0123866\pi\)
−0.999243 + 0.0389039i \(0.987613\pi\)
\(224\) 75848.0 + 335910.i 0.101001 + 0.447304i
\(225\) 115907. + 397644.i 0.152634 + 0.523646i
\(226\) 258114. + 688715.i 0.336155 + 0.896951i
\(227\) 871988. 871988.i 1.12317 1.12317i 0.131910 0.991262i \(-0.457889\pi\)
0.991262 0.131910i \(-0.0421109\pi\)
\(228\) 540332. 471188.i 0.688372 0.600285i
\(229\) 844221. 844221.i 1.06382 1.06382i 0.0659989 0.997820i \(-0.478977\pi\)
0.997820 0.0659989i \(-0.0210234\pi\)
\(230\) 277122. 151532.i 0.345424 0.188879i
\(231\) 135449.i 0.167011i
\(232\) −954087. + 285049.i −1.16377 + 0.347696i
\(233\) −312305. −0.376867 −0.188434 0.982086i \(-0.560341\pi\)
−0.188434 + 0.982086i \(0.560341\pi\)
\(234\) −478412. 217573.i −0.571166 0.259756i
\(235\) −83103.4 582073.i −0.0981633 0.687556i
\(236\) 67897.1 993286.i 0.0793544 1.16090i
\(237\) −20272.0 + 20272.0i −0.0234436 + 0.0234436i
\(238\) 101633. + 271184.i 0.116304 + 0.310329i
\(239\) −536668. −0.607731 −0.303865 0.952715i \(-0.598277\pi\)
−0.303865 + 0.952715i \(0.598277\pi\)
\(240\) 427666. + 423146.i 0.479266 + 0.474200i
\(241\) 266483. 0.295547 0.147774 0.989021i \(-0.452789\pi\)
0.147774 + 0.989021i \(0.452789\pi\)
\(242\) −226424. 604159.i −0.248533 0.663151i
\(243\) −609263. + 609263.i −0.661895 + 0.661895i
\(244\) 1.40242e6 + 95863.7i 1.50801 + 0.103081i
\(245\) 734523. 104869.i 0.781790 0.111617i
\(246\) 561933. + 255557.i 0.592034 + 0.269247i
\(247\) 1.49424e6 1.55839
\(248\) −540556. + 1.00117e6i −0.558100 + 1.03367i
\(249\) 523865.i 0.535452i
\(250\) 699739. 697803.i 0.708086 0.706127i
\(251\) −664803. + 664803.i −0.666053 + 0.666053i −0.956800 0.290747i \(-0.906096\pi\)
0.290747 + 0.956800i \(0.406096\pi\)
\(252\) 165718. + 190036.i 0.164388 + 0.188510i
\(253\) −153105. + 153105.i −0.150379 + 0.150379i
\(254\) 270778. + 722507.i 0.263348 + 0.702681i
\(255\) 404734. + 303604.i 0.389780 + 0.292386i
\(256\) −1.00974e6 282718.i −0.962967 0.269621i
\(257\) 537440.i 0.507572i −0.967260 0.253786i \(-0.918324\pi\)
0.967260 0.253786i \(-0.0816758\pi\)
\(258\) 937278. 351269.i 0.876636 0.328542i
\(259\) 470452. + 470452.i 0.435778 + 0.435778i
\(260\) 92159.7 + 1.25054e6i 0.0845488 + 1.14726i
\(261\) −515544. + 515544.i −0.468451 + 0.468451i
\(262\) −1.49321e6 679088.i −1.34391 0.611185i
\(263\) −13908.6 −0.0123992 −0.00619961 0.999981i \(-0.501973\pi\)
−0.00619961 + 0.999981i \(0.501973\pi\)
\(264\) −362914. 195946.i −0.320475 0.173032i
\(265\) −360399. 270347.i −0.315260 0.236487i
\(266\) −652560. 296773.i −0.565479 0.257170i
\(267\) 838625. + 838625.i 0.719929 + 0.719929i
\(268\) −2169.95 + 31744.8i −0.00184549 + 0.0269983i
\(269\) 705554. + 705554.i 0.594497 + 0.594497i 0.938843 0.344346i \(-0.111899\pi\)
−0.344346 + 0.938843i \(0.611899\pi\)
\(270\) 1.19777e6 + 350933.i 0.999919 + 0.292964i
\(271\) −1.23769e6 −1.02374 −0.511868 0.859064i \(-0.671046\pi\)
−0.511868 + 0.859064i \(0.671046\pi\)
\(272\) −873623. 119995.i −0.715981 0.0983427i
\(273\) 437970.i 0.355662i
\(274\) −1.00869e6 + 378034.i −0.811677 + 0.304197i
\(275\) −325841. + 593944.i −0.259821 + 0.473602i
\(276\) 22908.1 335130.i 0.0181016 0.264814i
\(277\) 8261.98 + 8261.98i 0.00646971 + 0.00646971i 0.710334 0.703865i \(-0.248544\pi\)
−0.703865 + 0.710334i \(0.748544\pi\)
\(278\) 377298. 829622.i 0.292801 0.643826i
\(279\) 833078.i 0.640730i
\(280\) 208123. 564436.i 0.158645 0.430249i
\(281\) 2.28352e6i 1.72520i −0.505885 0.862601i \(-0.668834\pi\)
0.505885 0.862601i \(-0.331166\pi\)
\(282\) −569229. 258875.i −0.426250 0.193851i
\(283\) −1.52649e6 1.52649e6i −1.13300 1.13300i −0.989677 0.143318i \(-0.954223\pi\)
−0.143318 0.989677i \(1.45422\pi\)
\(284\) −575516. 659969.i −0.423411 0.485543i
\(285\) −1.23984e6 + 177013.i −0.904176 + 0.129090i
\(286\) −301671. 804938.i −0.218082 0.581899i
\(287\) 617275.i 0.442358i
\(288\) −748907. + 169102.i −0.532043 + 0.120135i
\(289\) 678265. 0.477700
\(290\) 1.66934e6 + 489097.i 1.16560 + 0.341507i
\(291\) −371567. 371567.i −0.257220 0.257220i
\(292\) −357328. + 311603.i −0.245251 + 0.213867i
\(293\) −981488. 981488.i −0.667907 0.667907i 0.289324 0.957231i \(-0.406569\pi\)
−0.957231 + 0.289324i \(0.906569\pi\)
\(294\) 326677. 718314.i 0.220419 0.484670i
\(295\) −1.04367e6 + 1.39131e6i −0.698243 + 0.930828i
\(296\) −1.94108e6 + 579928.i −1.28770 + 0.384720i
\(297\) −855631. −0.562854
\(298\) 52697.2 115873.i 0.0343754 0.0755863i
\(299\) 495061. 495061.i 0.320244 0.320244i
\(300\) −224613. 1.02671e6i −0.144089 0.658635i
\(301\) −707725. 707725.i −0.450244 0.450244i
\(302\) 764004. + 2.03856e6i 0.482035 + 1.28619i
\(303\) 919687.i 0.575484i
\(304\) 1.73918e6 1.31911e6i 1.07934 0.818648i
\(305\) −1.96439e6 1.47355e6i −1.20914 0.907016i
\(306\) −604602. + 226590.i −0.369119 + 0.138337i
\(307\) −1.46066e6 + 1.46066e6i −0.884513 + 0.884513i −0.993989 0.109477i \(-0.965083\pi\)
0.109477 + 0.993989i \(0.465083\pi\)
\(308\) −28124.8 + 411446.i −0.0168932 + 0.247136i
\(309\) −558168. + 558168.i −0.332559 + 0.332559i
\(310\) 1.74393e6 953593.i 1.03069 0.563584i
\(311\) 1.04940e6i 0.615232i −0.951511 0.307616i \(-0.900469\pi\)
0.951511 0.307616i \(-0.0995312\pi\)
\(312\) 1.17347e6 + 633585.i 0.682474 + 0.368484i
\(313\) −1.11537e6 −0.643515 −0.321757 0.946822i \(-0.604274\pi\)
−0.321757 + 0.946822i \(0.604274\pi\)
\(314\) 253688. 557823.i 0.145203 0.319281i
\(315\) −62256.1 436055.i −0.0353513 0.247608i
\(316\) −65788.4 + 57369.8i −0.0370623 + 0.0323196i
\(317\) 2.11341e6 2.11341e6i 1.18123 1.18123i 0.201809 0.979425i \(-0.435318\pi\)
0.979425 0.201809i \(-0.0646820\pi\)
\(318\) −448675. + 168152.i −0.248808 + 0.0932471i
\(319\) −1.19250e6 −0.656117
\(320\) 1.21124e6 + 1.37417e6i 0.661233 + 0.750180i
\(321\) −1.75985e6 −0.953266
\(322\) −314527. + 117877.i −0.169051 + 0.0633562i
\(323\) 1.29804e6 1.29804e6i 0.692282 0.692282i
\(324\) 223675. 195052.i 0.118373 0.103226i
\(325\) 1.05360e6 1.92050e6i 0.553308 1.00857i
\(326\) 883325. 1.94230e6i 0.460338 1.01222i
\(327\) 756801. 0.391392
\(328\) 1.65389e6 + 892975.i 0.848834 + 0.458305i
\(329\) 625289.i 0.318486i
\(330\) 345667. + 632157.i 0.174732 + 0.319551i
\(331\) −1.69261e6 + 1.69261e6i −0.849157 + 0.849157i −0.990028 0.140871i \(-0.955010\pi\)
0.140871 + 0.990028i \(0.455010\pi\)
\(332\) −108776. + 1.59132e6i −0.0541612 + 0.792340i
\(333\) −1.04887e6 + 1.04887e6i −0.518334 + 0.518334i
\(334\) −3.07757e6 + 1.15340e6i −1.50953 + 0.565736i
\(335\) 33354.9 44465.4i 0.0162386 0.0216476i
\(336\) −386639. 509763.i −0.186834 0.246331i
\(337\) 86139.5i 0.0413169i 0.999787 + 0.0206585i \(0.00657626\pi\)
−0.999787 + 0.0206585i \(0.993424\pi\)
\(338\) 238349. + 635979.i 0.113481 + 0.302796i
\(339\) −966249. 966249.i −0.456656 0.456656i
\(340\) 1.16640e6 + 1.00628e6i 0.547205 + 0.472087i
\(341\) −963492. + 963492.i −0.448706 + 0.448706i
\(342\) 661652. 1.45488e6i 0.305889 0.672606i
\(343\) −1.78822e6 −0.820702
\(344\) 2.92006e6 872415.i 1.33044 0.397491i
\(345\) −352128. + 469422.i −0.159277 + 0.212332i
\(346\) 956982. 2.10426e6i 0.429748 0.944952i
\(347\) −946713. 946713.i −0.422080 0.422080i 0.463839 0.885919i \(-0.346471\pi\)
−0.885919 + 0.463839i \(0.846471\pi\)
\(348\) 1.39434e6 1.21591e6i 0.617191 0.538212i
\(349\) 2.63823e6 + 2.63823e6i 1.15944 + 1.15944i 0.984596 + 0.174847i \(0.0559431\pi\)
0.174847 + 0.984596i \(0.444057\pi\)
\(350\) −841559. + 629460.i −0.367210 + 0.274662i
\(351\) 2.76666e6 1.19864
\(352\) −1.06172e6 670571.i −0.456723 0.288462i
\(353\) 2.93546e6i 1.25383i 0.779086 + 0.626917i \(0.215683\pi\)
−0.779086 + 0.626917i \(0.784317\pi\)
\(354\) 649148. + 1.73210e6i 0.275319 + 0.734622i
\(355\) 216207. + 1.51436e6i 0.0910538 + 0.637760i
\(356\) 2.37332e6 + 2.72158e6i 0.992500 + 1.13814i
\(357\) −380464. 380464.i −0.157995 0.157995i
\(358\) 2.18523e6 + 993805.i 0.901135 + 0.409821i
\(359\) 2.41933e6i 0.990740i −0.868682 0.495370i \(-0.835032\pi\)
0.868682 0.495370i \(-0.164968\pi\)
\(360\) 1.25840e6 + 464009.i 0.511757 + 0.188699i
\(361\) 2.06796e6i 0.835167i
\(362\) −1.49235e6 + 3.28145e6i −0.598547 + 1.31612i
\(363\) 847618. + 847618.i 0.337624 + 0.337624i
\(364\) 90940.7 1.33040e6i 0.0359753 0.526294i
\(365\) 819921. 117061.i 0.322136 0.0459918i
\(366\) −2.44554e6 + 916530.i −0.954272 + 0.357638i
\(367\) 377226.i 0.146196i 0.997325 + 0.0730982i \(0.0232887\pi\)
−0.997325 + 0.0730982i \(0.976711\pi\)
\(368\) 139174. 1.01325e6i 0.0535720 0.390030i
\(369\) 1.37621e6 0.526160
\(370\) 3.39626e6 + 995061.i 1.28972 + 0.377873i
\(371\) 338788. + 338788.i 0.127789 + 0.127789i
\(372\) 144161. 2.10898e6i 0.0540121 0.790159i
\(373\) 1.71291e6 + 1.71291e6i 0.637473 + 0.637473i 0.949931 0.312459i \(-0.101153\pi\)
−0.312459 + 0.949931i \(0.601153\pi\)
\(374\) −961311. 437188.i −0.355373 0.161618i
\(375\) −646709. + 1.71834e6i −0.237482 + 0.631003i
\(376\) −1.67536e6 904568.i −0.611139 0.329968i
\(377\) 3.85591e6 1.39725
\(378\) −1.20825e6 549490.i −0.434937 0.197802i
\(379\) 1.59231e6 1.59231e6i 0.569416 0.569416i −0.362549 0.931965i \(-0.618093\pi\)
0.931965 + 0.362549i \(0.118093\pi\)
\(380\) −3.80295e6 + 280262.i −1.35102 + 0.0995648i
\(381\) −1.01366e6 1.01366e6i −0.357750 0.357750i
\(382\) 371981. 139409.i 0.130425 0.0488803i
\(383\) 2.91005e6i 1.01369i −0.862038 0.506844i \(-0.830812\pi\)
0.862038 0.506844i \(-0.169188\pi\)
\(384\) 1.92516e6 298495.i 0.666251 0.103302i
\(385\) 432315. 576319.i 0.148644 0.198158i
\(386\) 1.17876e6 + 3.14523e6i 0.402676 + 1.07444i
\(387\) 1.57786e6 1.57786e6i 0.535540 0.535540i
\(388\) −1.05154e6 1.20584e6i −0.354606 0.406642i
\(389\) −2.78618e6 + 2.78618e6i −0.933543 + 0.933543i −0.997925 0.0643819i \(-0.979492\pi\)
0.0643819 + 0.997925i \(0.479492\pi\)
\(390\) −1.11770e6 2.04406e6i −0.372104 0.680507i
\(391\) 860118.i 0.284522i
\(392\) 1.14148e6 2.11416e6i 0.375192 0.694899i
\(393\) 3.04768e6 0.995378
\(394\) −4.99022e6 2.26946e6i −1.61949 0.736517i
\(395\) 150957. 21552.4i 0.0486812 0.00695028i
\(396\) −917314. 62703.9i −0.293955 0.0200936i
\(397\) −1.46318e6 + 1.46318e6i −0.465931 + 0.465931i −0.900593 0.434663i \(-0.856868\pi\)
0.434663 + 0.900593i \(0.356868\pi\)
\(398\) 1.43166e6 + 3.82005e6i 0.453037 + 1.20882i
\(399\) 1.33189e6 0.418828
\(400\) −469107. 3.16543e6i −0.146596 0.989196i
\(401\) 2.49761e6 0.775647 0.387824 0.921734i \(-0.373227\pi\)
0.387824 + 0.921734i \(0.373227\pi\)
\(402\) −20746.4 55356.7i −0.00640290 0.0170846i
\(403\) 3.11542e6 3.11542e6i 0.955552 0.955552i
\(404\) −190965. + 2.79369e6i −0.0582105 + 0.851578i
\(405\) −513241. + 73276.0i −0.155483 + 0.0221985i
\(406\) −1.68394e6 765829.i −0.507006 0.230577i
\(407\) −2.42612e6 −0.725984
\(408\) 1.56979e6 469000.i 0.466864 0.139483i
\(409\) 5.42197e6i 1.60269i 0.598204 + 0.801344i \(0.295881\pi\)
−0.598204 + 0.801344i \(0.704119\pi\)
\(410\) −1.57529e6 2.88090e6i −0.462809 0.846387i
\(411\) 1.41517e6 1.41517e6i 0.413242 0.413242i
\(412\) −1.81142e6 + 1.57962e6i −0.525746 + 0.458469i
\(413\) 1.30788e6 1.30788e6i 0.377305 0.377305i
\(414\) −262805. 701233.i −0.0753587 0.201077i
\(415\) 1.67203e6 2.22898e6i 0.476567 0.635311i
\(416\) 3.43304e6 + 2.16827e6i 0.972625 + 0.614299i
\(417\) 1.69328e6i 0.476856i
\(418\) 2.44786e6 917399.i 0.685245 0.256813i
\(419\) −4.40081e6 4.40081e6i −1.22461 1.22461i −0.965975 0.258635i \(-0.916727\pi\)
−0.258635 0.965975i \(-0.583273\pi\)
\(420\) 82146.5 + 1.11467e6i 0.0227230 + 0.308334i
\(421\) −2.37338e6 + 2.37338e6i −0.652623 + 0.652623i −0.953624 0.301001i \(-0.902679\pi\)
0.301001 + 0.953624i \(0.402679\pi\)
\(422\) −4.76897e6 2.16884e6i −1.30360 0.592853i
\(423\) −1.39407e6 −0.378822
\(424\) −1.39783e6 + 417625.i −0.377608 + 0.112816i
\(425\) −753078. 2.58360e6i −0.202240 0.693829i
\(426\) 1.48094e6 + 673505.i 0.395379 + 0.179811i
\(427\) 1.84659e6 + 1.84659e6i 0.490119 + 0.490119i
\(428\) −5.34582e6 365419.i −1.41060 0.0964232i
\(429\) 1.12931e6 + 1.12931e6i 0.296257 + 0.296257i
\(430\) −5.10916e6 1.49692e6i −1.33254 0.390416i
\(431\) −487650. −0.126449 −0.0632245 0.997999i \(-0.520138\pi\)
−0.0632245 + 0.997999i \(0.520138\pi\)
\(432\) 3.22018e6 2.44240e6i 0.830176 0.629662i
\(433\) 3.70876e6i 0.950624i 0.879817 + 0.475312i \(0.157665\pi\)
−0.879817 + 0.475312i \(0.842335\pi\)
\(434\) −1.97932e6 + 741801.i −0.504419 + 0.189044i
\(435\) −3.19943e6 + 456786.i −0.810679 + 0.115742i
\(436\) 2.29890e6 + 157143.i 0.579167 + 0.0395895i
\(437\) 1.50551e6 + 1.50551e6i 0.377119 + 0.377119i
\(438\) 364657. 801827.i 0.0908238 0.199708i
\(439\) 5.29801e6i 1.31205i −0.754737 0.656027i \(-0.772236\pi\)
0.754737 0.656027i \(-0.227764\pi\)
\(440\) 918753. + 1.99205e6i 0.226239 + 0.490533i
\(441\) 1.75919e6i 0.430742i
\(442\) 3.10837e6 + 1.41363e6i 0.756793 + 0.344176i
\(443\) 1.51452e6 + 1.51452e6i 0.366661 + 0.366661i 0.866258 0.499597i \(-0.166519\pi\)
−0.499597 + 0.866258i \(0.666519\pi\)
\(444\) 2.83676e6 2.47375e6i 0.682912 0.595524i
\(445\) −891594. 6.24491e6i −0.213436 1.49495i
\(446\) −114708. 306070.i −0.0273058 0.0728590i
\(447\) 236500.i 0.0559838i
\(448\) −1.06863e6 1.62876e6i −0.251553 0.383410i
\(449\) 5.50666e6 1.28906 0.644528 0.764580i \(-0.277054\pi\)
0.644528 + 0.764580i \(0.277054\pi\)
\(450\) −1.40337e6 1.87625e6i −0.326695 0.436776i
\(451\) 1.59165e6 + 1.59165e6i 0.368472 + 0.368472i
\(452\) −2.73449e6 3.13576e6i −0.629551 0.721933i
\(453\) −2.86005e6 2.86005e6i −0.654829 0.654829i
\(454\) −2.88790e6 + 6.35006e6i −0.657571 + 1.44590i
\(455\) −1.39788e6 + 1.86351e6i −0.316549 + 0.421991i
\(456\) −1.92676e6 + 3.56859e6i −0.433927 + 0.803682i
\(457\) −2.08661e6 −0.467358 −0.233679 0.972314i \(-0.575077\pi\)
−0.233679 + 0.972314i \(0.575077\pi\)
\(458\) −2.79594e6 + 6.14786e6i −0.622822 + 1.36949i
\(459\) 2.40339e6 2.40339e6i 0.532468 0.532468i
\(460\) −1.16711e6 + 1.35282e6i −0.257169 + 0.298089i
\(461\) −4.65515e6 4.65515e6i −1.02019 1.02019i −0.999792 0.0203996i \(-0.993506\pi\)
−0.0203996 0.999792i \(-0.506494\pi\)
\(462\) −268895. 717481.i −0.0586108 0.156389i
\(463\) 8.10975e6i 1.75815i 0.476686 + 0.879073i \(0.341838\pi\)
−0.476686 + 0.879073i \(0.658162\pi\)
\(464\) 4.48798e6 3.40399e6i 0.967734 0.733995i
\(465\) −2.21594e6 + 2.95408e6i −0.475255 + 0.633562i
\(466\) 1.65430e6 619991.i 0.352898 0.132258i
\(467\) −586380. + 586380.i −0.124419 + 0.124419i −0.766574 0.642155i \(-0.778040\pi\)
0.642155 + 0.766574i \(0.278040\pi\)
\(468\) 2.96611e6 + 202751.i 0.625997 + 0.0427907i
\(469\) −41799.0 + 41799.0i −0.00877474 + 0.00877474i
\(470\) 1.59574e6 + 2.91830e6i 0.333210 + 0.609377i
\(471\) 1.13853e6i 0.236479i
\(472\) 1.61223e6 + 5.39630e6i 0.333098 + 1.11491i
\(473\) 3.64974e6 0.750083
\(474\) 67137.8 147626.i 0.0137253 0.0301799i
\(475\) 5.84034e6 + 3.20405e6i 1.18769 + 0.651576i
\(476\) −1.07672e6 1.23472e6i −0.217813 0.249776i
\(477\) −755323. + 755323.i −0.151998 + 0.151998i
\(478\) 2.84277e6 1.06540e6i 0.569078 0.213277i
\(479\) −1.20436e6 −0.239837 −0.119919 0.992784i \(-0.538263\pi\)
−0.119919 + 0.992784i \(0.538263\pi\)
\(480\) −3.10541e6 1.39242e6i −0.615200 0.275847i
\(481\) 7.84480e6 1.54603
\(482\) −1.41158e6 + 529026.i −0.276750 + 0.103719i
\(483\) 441272. 441272.i 0.0860674 0.0860674i
\(484\) 2.39877e6 + 2.75077e6i 0.465452 + 0.533754i
\(485\) 395036. + 2.76691e6i 0.0762574 + 0.534123i
\(486\) 2.01779e6 4.43683e6i 0.387512 0.852083i
\(487\) −8.29984e6 −1.58580 −0.792898 0.609354i \(-0.791429\pi\)
−0.792898 + 0.609354i \(0.791429\pi\)
\(488\) −7.61901e6 + 2.27630e6i −1.44827 + 0.432693i
\(489\) 3.96428e6i 0.749708i
\(490\) −3.68263e6 + 2.01368e6i −0.692896 + 0.378879i
\(491\) 4.87952e6 4.87952e6i 0.913425 0.913425i −0.0831147 0.996540i \(-0.526487\pi\)
0.996540 + 0.0831147i \(0.0264868\pi\)
\(492\) −3.48393e6 238148.i −0.648869 0.0443541i
\(493\) 3.34963e6 3.34963e6i 0.620696 0.620696i
\(494\) −7.91508e6 + 2.96638e6i −1.45928 + 0.546902i
\(495\) 1.28490e6 + 963841.i 0.235698 + 0.176804i
\(496\) 875823. 6.37640e6i 0.159850 1.16378i
\(497\) 1.62679e6i 0.295420i
\(498\) −1.03998e6 2.77495e6i −0.187911 0.501397i
\(499\) −5.13074e6 5.13074e6i −0.922419 0.922419i 0.0747809 0.997200i \(-0.476174\pi\)
−0.997200 + 0.0747809i \(0.976174\pi\)
\(500\) −2.32128e6 + 5.08544e6i −0.415242 + 0.909711i
\(501\) 4.31775e6 4.31775e6i 0.768534 0.768534i
\(502\) 2.20173e6 4.84128e6i 0.389946 0.857435i
\(503\) −6.77414e6 −1.19381 −0.596904 0.802313i \(-0.703603\pi\)
−0.596904 + 0.802313i \(0.703603\pi\)
\(504\) −1.25508e6 677649.i −0.220088 0.118831i
\(505\) 2.93539e6 3.91316e6i 0.512197 0.682809i
\(506\) 507062. 1.11495e6i 0.0880409 0.193589i
\(507\) −892261. 892261.i −0.154160 0.154160i
\(508\) −2.86866e6 3.28962e6i −0.493197 0.565570i
\(509\) −2.85861e6 2.85861e6i −0.489057 0.489057i 0.418951 0.908009i \(-0.362398\pi\)
−0.908009 + 0.418951i \(0.862398\pi\)
\(510\) −2.74662e6 804726.i −0.467599 0.137001i
\(511\) −880795. −0.149218
\(512\) 5.90994e6 506980.i 0.996341 0.0854704i
\(513\) 8.41355e6i 1.41152i
\(514\) 1.06693e6 + 2.84686e6i 0.178127 + 0.475289i
\(515\) 4.15646e6 593423.i 0.690567 0.0985931i
\(516\) −4.26748e6 + 3.72139e6i −0.705582 + 0.615292i
\(517\) −1.61231e6 1.61231e6i −0.265291 0.265291i
\(518\) −3.42596e6 1.55807e6i −0.560994 0.255130i
\(519\) 4.29484e6i 0.699889i
\(520\) −2.97076e6 6.44123e6i −0.481792 1.04462i
\(521\) 4.77485e6i 0.770664i 0.922778 + 0.385332i \(0.125913\pi\)
−0.922778 + 0.385332i \(0.874087\pi\)
\(522\) 1.70741e6 3.75434e6i 0.274259 0.603055i
\(523\) 875194. + 875194.i 0.139910 + 0.139910i 0.773593 0.633683i \(-0.218457\pi\)
−0.633683 + 0.773593i \(0.718457\pi\)
\(524\) 9.25779e6 + 632826.i 1.47292 + 0.100683i
\(525\) 939125. 1.71184e6i 0.148705 0.271059i
\(526\) 73674.8 27611.5i 0.0116106 0.00435137i
\(527\) 5.41273e6i 0.848966i
\(528\) 2.31137e6 + 317476.i 0.360816 + 0.0495594i
\(529\) −5.43875e6 −0.845007
\(530\) 2.44576e6 + 716576.i 0.378202 + 0.110808i
\(531\) 2.91590e6 + 2.91590e6i 0.448784 + 0.448784i
\(532\) 4.04581e6 + 276556.i 0.619765 + 0.0423646i
\(533\) −5.14654e6 5.14654e6i −0.784688 0.784688i
\(534\) −6.10710e6 2.77740e6i −0.926791 0.421489i
\(535\) 7.48797e6 + 5.61697e6i 1.13105 + 0.848432i
\(536\) −51525.9 172462.i −0.00774664 0.0259288i
\(537\) −4.46010e6 −0.667435
\(538\) −5.13804e6 2.33669e6i −0.765318 0.348053i
\(539\) 2.03459e6 2.03459e6i 0.301651 0.301651i
\(540\) −7.04136e6 + 518920.i −1.03914 + 0.0765802i
\(541\) 3.23621e6 + 3.23621e6i 0.475383 + 0.475383i 0.903652 0.428268i \(-0.140876\pi\)
−0.428268 + 0.903652i \(0.640876\pi\)
\(542\) 6.55612e6 2.45708e6i 0.958625 0.359270i
\(543\) 6.69750e6i 0.974795i
\(544\) 4.86585e6 1.09870e6i 0.704956 0.159178i
\(545\) −3.22010e6 2.41550e6i −0.464385 0.348350i
\(546\) 869463. + 2.31995e6i 0.124816 + 0.333041i
\(547\) −3.21839e6 + 3.21839e6i −0.459908 + 0.459908i −0.898625 0.438717i \(-0.855433\pi\)
0.438717 + 0.898625i \(0.355433\pi\)
\(548\) 4.59264e6 4.00495e6i 0.653298 0.569699i
\(549\) −4.11696e6 + 4.11696e6i −0.582969 + 0.582969i
\(550\) 546898. 3.79303e6i 0.0770903 0.534662i
\(551\) 1.17260e7i 1.64540i
\(552\) 543958. + 1.82068e6i 0.0759833 + 0.254324i
\(553\) −162165. −0.0225499
\(554\) −60166.1 27362.5i −0.00832870 0.00378775i
\(555\) −6.50919e6 + 929325.i −0.897004 + 0.128066i
\(556\) −351595. + 5.14358e6i −0.0482342 + 0.705633i
\(557\) 3.17181e6 3.17181e6i 0.433180 0.433180i −0.456529 0.889709i \(-0.650907\pi\)
0.889709 + 0.456529i \(0.150907\pi\)
\(558\) −1.65384e6 4.41287e6i −0.224857 0.599978i
\(559\) −1.18013e7 −1.59736
\(560\) 18081.3 + 3.40302e6i 0.00243646 + 0.458559i
\(561\) 1.96206e6 0.263211
\(562\) 4.53328e6 + 1.20960e7i 0.605441 + 1.61548i
\(563\) 1.00218e7 1.00218e7i 1.33252 1.33252i 0.429410 0.903110i \(-0.358722\pi\)
0.903110 0.429410i \(-0.141278\pi\)
\(564\) 3.52917e6 + 241240.i 0.467169 + 0.0319338i
\(565\) 1.02728e6 + 7.19527e6i 0.135384 + 0.948257i
\(566\) 1.11163e7 + 5.05551e6i 1.45855 + 0.663322i
\(567\) 551346. 0.0720222
\(568\) 4.35873e6 + 2.35338e6i 0.566877 + 0.306070i
\(569\) 3.52950e6i 0.457017i −0.973542 0.228509i \(-0.926615\pi\)
0.973542 0.228509i \(-0.0733849\pi\)
\(570\) 6.21610e6 3.39899e6i 0.801365 0.438191i
\(571\) −5.48683e6 + 5.48683e6i −0.704258 + 0.704258i −0.965322 0.261064i \(-0.915927\pi\)
0.261064 + 0.965322i \(0.415927\pi\)
\(572\) 3.19595e6 + 3.66493e6i 0.408422 + 0.468355i
\(573\) −521879. + 521879.i −0.0664023 + 0.0664023i
\(574\) 1.22542e6 + 3.26975e6i 0.155241 + 0.414223i
\(575\) 2.99653e6 873440.i 0.377962 0.110170i
\(576\) 3.63131e6 2.38249e6i 0.456044 0.299209i
\(577\) 4.75126e6i 0.594113i 0.954860 + 0.297057i \(0.0960050\pi\)
−0.954860 + 0.297057i \(0.903995\pi\)
\(578\) −3.59282e6 + 1.34650e6i −0.447317 + 0.167644i
\(579\) −4.41267e6 4.41267e6i −0.547022 0.547022i
\(580\) −9.81359e6 + 723223.i −1.21132 + 0.0892693i
\(581\) −2.09532e6 + 2.09532e6i −0.257520 + 0.257520i
\(582\) 2.70586e6 + 1.23058e6i 0.331129 + 0.150592i
\(583\) −1.74713e6 −0.212889
\(584\) 1.27419e6 2.35995e6i 0.154598 0.286333i
\(585\) −4.15467e6 3.11655e6i −0.501935 0.376517i
\(586\) 7.14747e6 + 3.25055e6i 0.859822 + 0.391032i
\(587\) −4.36354e6 4.36354e6i −0.522689 0.522689i 0.395693 0.918383i \(-0.370504\pi\)
−0.918383 + 0.395693i \(0.870504\pi\)
\(588\) −304422. + 4.45348e6i −0.0363106 + 0.531198i
\(589\) 9.47417e6 + 9.47417e6i 1.12526 + 1.12526i
\(590\) 2.76632e6 9.44177e6i 0.327169 1.11667i
\(591\) 1.01851e7 1.19949
\(592\) 9.13074e6 6.92537e6i 1.07078 0.812155i
\(593\) 913091.i 0.106629i −0.998578 0.0533147i \(-0.983021\pi\)
0.998578 0.0533147i \(-0.0169787\pi\)
\(594\) 4.53234e6 1.69861e6i 0.527055 0.197528i
\(595\) 404495. + 2.83317e6i 0.0468404 + 0.328080i
\(596\) −49107.3 + 718405.i −0.00566279 + 0.0828426i
\(597\) −5.35943e6 5.35943e6i −0.615436 0.615436i
\(598\) −1.63957e6 + 3.60517e6i −0.187489 + 0.412262i
\(599\) 5.33671e6i 0.607724i −0.952716 0.303862i \(-0.901724\pi\)
0.952716 0.303862i \(-0.0982763\pi\)
\(600\) 3.22803e6 + 4.99265e6i 0.366066 + 0.566178i
\(601\) 1.11751e7i 1.26202i −0.775775 0.631009i \(-0.782641\pi\)
0.775775 0.631009i \(-0.217359\pi\)
\(602\) 5.15385e6 + 2.34388e6i 0.579616 + 0.263599i
\(603\) −93190.5 93190.5i −0.0104371 0.0104371i
\(604\) −8.09396e6 9.28169e6i −0.902753 1.03523i
\(605\) −901155. 6.31188e6i −0.100095 0.701084i
\(606\) −1.82578e6 4.87165e6i −0.201960 0.538883i
\(607\) 1.29062e7i 1.42176i 0.703311 + 0.710882i \(0.251704\pi\)
−0.703311 + 0.710882i \(0.748296\pi\)
\(608\) −6.59383e6 + 1.04401e7i −0.723400 + 1.14536i
\(609\) 3.43697e6 0.375519
\(610\) 1.33308e7 + 3.90576e6i 1.45055 + 0.424992i
\(611\) 5.21336e6 + 5.21336e6i 0.564956 + 0.564956i
\(612\) 2.75279e6 2.40053e6i 0.297094 0.259077i
\(613\) −1.17131e7 1.17131e7i −1.25898 1.25898i −0.951579 0.307404i \(-0.900540\pi\)
−0.307404 0.951579i \(1.40054\pi\)
\(614\) 4.83750e6 1.06370e7i 0.517846 1.13867i
\(615\) 4.88000e6 + 3.66064e6i 0.520274 + 0.390274i
\(616\) −667829. 2.23529e6i −0.0709110 0.237346i
\(617\) −1.65473e7 −1.74990 −0.874950 0.484213i \(-0.839106\pi\)
−0.874950 + 0.484213i \(0.839106\pi\)
\(618\) 1.84857e6 4.06474e6i 0.194700 0.428116i
\(619\) −5.52350e6 + 5.52350e6i −0.579412 + 0.579412i −0.934741 0.355329i \(-0.884369\pi\)
0.355329 + 0.934741i \(0.384369\pi\)
\(620\) −7.34466e6 + 8.51333e6i −0.767348 + 0.889447i
\(621\) 2.78752e6 + 2.78752e6i 0.290061 + 0.290061i
\(622\) 2.08328e6 + 5.55873e6i 0.215909 + 0.576102i
\(623\) 6.70856e6i 0.692483i
\(624\) −7.47376e6 1.02655e6i −0.768383 0.105540i
\(625\) 8.23614e6 5.24723e6i 0.843381 0.537316i
\(626\) 5.90819e6 2.21425e6i 0.602586 0.225835i
\(627\) −3.43428e6 + 3.43428e6i −0.348873 + 0.348873i
\(628\) −236406. + 3.45845e6i −0.0239199 + 0.349931i
\(629\) 6.81477e6 6.81477e6i 0.686791 0.686791i
\(630\) 1.19544e6 + 2.18622e6i 0.119998 + 0.219453i
\(631\) 3.88287e6i 0.388221i 0.980980 + 0.194111i \(0.0621821\pi\)
−0.980980 + 0.194111i \(0.937818\pi\)
\(632\) 234595. 434496.i 0.0233628 0.0432706i
\(633\) 9.73356e6 0.965523
\(634\) −6.99931e6 + 1.53905e7i −0.691564 + 1.52065i
\(635\) 1.07768e6 + 7.54831e6i 0.106061 + 0.742875i
\(636\) 2.04284e6 1.78143e6i 0.200259 0.174633i
\(637\) −6.57878e6 + 6.57878e6i −0.642387 + 0.642387i
\(638\) 6.31675e6 2.36737e6i 0.614387 0.230257i
\(639\) 3.62691e6 0.351386
\(640\) −9.14403e6 4.87451e6i −0.882446 0.470415i
\(641\) −1.51476e7 −1.45612 −0.728062 0.685511i \(-0.759579\pi\)
−0.728062 + 0.685511i \(0.759579\pi\)
\(642\) 9.32206e6 3.49369e6i 0.892636 0.334539i
\(643\) 2.49831e6 2.49831e6i 0.238298 0.238298i −0.577847 0.816145i \(-0.696107\pi\)
0.816145 + 0.577847i \(0.196107\pi\)
\(644\) 1.43206e6 1.24880e6i 0.136065 0.118653i
\(645\) 9.79211e6 1.39803e6i 0.926781 0.132318i
\(646\) −4.29893e6 + 9.45272e6i −0.405302 + 0.891201i
\(647\) 1.23878e7 1.16342 0.581708 0.813398i \(-0.302385\pi\)
0.581708 + 0.813398i \(0.302385\pi\)
\(648\) −797599. + 1.47725e6i −0.0746186 + 0.138202i
\(649\) 6.74475e6i 0.628571i
\(650\) −1.76838e6 + 1.22646e7i −0.164169 + 1.13860i
\(651\) 2.77693e6 2.77693e6i 0.256810 0.256810i
\(652\) −823150. + 1.20421e7i −0.0758333 + 1.10939i
\(653\) −5.57836e6 + 5.57836e6i −0.511945 + 0.511945i −0.915122 0.403177i \(-0.867906\pi\)
0.403177 + 0.915122i \(0.367906\pi\)
\(654\) −4.00883e6 + 1.50241e6i −0.366499 + 0.137355i
\(655\) −1.29675e7 9.72735e6i −1.18101 0.885914i
\(656\) −1.05335e7 1.44682e6i −0.955684 0.131267i
\(657\) 1.96372e6i 0.177487i
\(658\) −1.24133e6 3.31220e6i −0.111769 0.298230i
\(659\) −2.46778e6 2.46778e6i −0.221357 0.221357i 0.587713 0.809070i \(-0.300029\pi\)
−0.809070 + 0.587713i \(0.800029\pi\)
\(660\) −3.08599e6 2.66236e6i −0.275762 0.237907i
\(661\) 670915. 670915.i 0.0597260 0.0597260i −0.676613 0.736339i \(-0.736553\pi\)
0.736339 + 0.676613i \(0.236553\pi\)
\(662\) 5.60569e6 1.23261e7i 0.497146 1.09315i
\(663\) −6.34425e6 −0.560527
\(664\) −2.58291e6 8.64526e6i −0.227347 0.760953i
\(665\) −5.66703e6 4.25102e6i −0.496937 0.372768i
\(666\) 3.47369e6 7.63814e6i 0.303463 0.667271i
\(667\) 3.88499e6 + 3.88499e6i 0.338123 + 0.338123i
\(668\) 1.40124e7 1.22193e7i 1.21498 1.05951i
\(669\) 429408. + 429408.i 0.0370941 + 0.0370941i
\(670\) −88409.9 + 301753.i −0.00760876 + 0.0259696i
\(671\) −9.52289e6 −0.816512
\(672\) 3.06004e6 + 1.93269e6i 0.261399 + 0.165097i
\(673\) 7.51129e6i 0.639259i −0.947543 0.319630i \(-0.896442\pi\)
0.947543 0.319630i \(-0.103558\pi\)
\(674\) −171005. 456287.i −0.0144997 0.0386891i
\(675\) 1.08137e7 + 5.93246e6i 0.913513 + 0.501159i
\(676\) −2.52511e6 2.89565e6i −0.212526 0.243713i
\(677\) −3.76866e6 3.76866e6i −0.316021 0.316021i 0.531216 0.847237i \(-0.321735\pi\)
−0.847237 + 0.531216i \(0.821735\pi\)
\(678\) 7.03649e6 + 3.20007e6i 0.587871 + 0.267354i
\(679\) 2.97234e6i 0.247414i
\(680\) −8.17619e6 3.01479e6i −0.678076 0.250026i
\(681\) 1.29606e7i 1.07092i
\(682\) 3.19095e6 7.01642e6i 0.262699 0.577637i
\(683\) 4.62207e6 + 4.62207e6i 0.379127 + 0.379127i 0.870787 0.491660i \(-0.163610\pi\)
−0.491660 + 0.870787i \(0.663610\pi\)
\(684\) −616577. + 9.02009e6i −0.0503904 + 0.737175i
\(685\) −1.05382e7 + 1.50455e6i −0.858106 + 0.122513i
\(686\) 9.47232e6 3.55000e6i 0.768504 0.288017i
\(687\) 1.25479e7i 1.01433i
\(688\) −1.37358e7 + 1.04182e7i −1.10633 + 0.839114i
\(689\) 5.64929e6 0.453363
\(690\) 933343. 3.18561e6i 0.0746309 0.254724i
\(691\) −1.19263e7 1.19263e7i −0.950193 0.950193i 0.0486238 0.998817i \(-0.484516\pi\)
−0.998817 + 0.0486238i \(0.984516\pi\)
\(692\) −891789. + 1.30462e7i −0.0707940 + 1.03567i
\(693\) −1.20785e6 1.20785e6i −0.0955386 0.0955386i
\(694\) 6.89423e6 + 3.13537e6i 0.543359 + 0.247110i
\(695\) 5.40447e6 7.20469e6i 0.424415 0.565788i
\(696\) −4.97205e6 + 9.20882e6i −0.389057 + 0.720578i
\(697\) −8.94159e6 −0.697161
\(698\) −1.92123e7 8.73744e6i −1.49259 0.678806i
\(699\) −2.32094e6 + 2.32094e6i −0.179668 + 0.179668i
\(700\) 3.20818e6 5.00497e6i 0.247465 0.386061i
\(701\) −5.63268e6 5.63268e6i −0.432932 0.432932i 0.456693 0.889625i \(-0.349034\pi\)
−0.889625 + 0.456693i \(0.849034\pi\)
\(702\) −1.46552e7 + 5.49241e6i −1.12240 + 0.420649i
\(703\) 2.38564e7i 1.82061i
\(704\) 6.95523e6 + 1.44432e6i 0.528907 + 0.109833i
\(705\) −4.94336e6 3.70817e6i −0.374584 0.280987i
\(706\) −5.82752e6 1.55493e7i −0.440019 1.17409i
\(707\) −3.67851e6 + 3.67851e6i −0.276773 + 0.276773i
\(708\) −6.87716e6 7.88634e6i −0.515616 0.591279i
\(709\) −1.65568e6 + 1.65568e6i −0.123697 + 0.123697i −0.766245 0.642548i \(-0.777877\pi\)
0.642548 + 0.766245i \(0.277877\pi\)
\(710\) −4.15158e6 7.59243e6i −0.309078 0.565243i
\(711\) 361545.i 0.0268218i
\(712\) −1.79745e7 9.70487e6i −1.32879 0.717447i
\(713\) 6.27783e6 0.462473
\(714\) 2.77065e6 + 1.26004e6i 0.203393 + 0.0924995i
\(715\) −1.20064e6 8.40950e6i −0.0878306 0.615184i
\(716\) −1.35482e7 926103.i −0.987643 0.0675114i
\(717\) −3.98833e6 + 3.98833e6i −0.289730 + 0.289730i
\(718\) 4.80289e6 + 1.28154e7i 0.347690 + 0.927727i
\(719\) 5.14928e6 0.371470 0.185735 0.982600i \(-0.440533\pi\)
0.185735 + 0.982600i \(0.440533\pi\)
\(720\) −7.58700e6 + 40312.0i −0.545430 + 0.00289803i
\(721\) −4.46505e6 −0.319881
\(722\) −4.10534e6 1.09541e7i −0.293093 0.782049i
\(723\) 1.98041e6 1.98041e6i 0.140899 0.140899i
\(724\) 1.39068e6 2.03447e7i 0.0986010 1.44246i
\(725\) 1.50711e7 + 8.26811e6i 1.06488 + 0.584200i
\(726\) −6.17259e6 2.80719e6i −0.434637 0.197665i
\(727\) −1.36392e7 −0.957092 −0.478546 0.878063i \(-0.658836\pi\)
−0.478546 + 0.878063i \(0.658836\pi\)
\(728\) 2.15941e6 + 7.22775e6i 0.151010 + 0.505446i
\(729\) 1.13093e7i 0.788164i
\(730\) −4.11078e6 + 2.24780e6i −0.285508 + 0.156117i
\(731\) −1.02518e7 + 1.02518e7i −0.709589 + 0.709589i
\(732\) 1.11347e7 9.70984e6i 0.768069 0.669784i
\(733\) 1.51221e7 1.51221e7i 1.03956 1.03956i 0.0403802 0.999184i \(-0.487143\pi\)
0.999184 0.0403802i \(-0.0128569\pi\)
\(734\) −748875. 1.99819e6i −0.0513061 0.136898i
\(735\) 4.67937e6 6.23806e6i 0.319498 0.425923i
\(736\) 1.27431e6 + 5.64355e6i 0.0867120 + 0.384023i
\(737\) 215558.i 0.0146182i
\(738\) −7.28986e6 + 2.73206e6i −0.492695 + 0.184650i
\(739\) 9.75126e6 + 9.75126e6i 0.656825 + 0.656825i 0.954627 0.297803i \(-0.0962538\pi\)
−0.297803 + 0.954627i \(0.596254\pi\)
\(740\) −1.99656e7 + 1.47139e6i −1.34030 + 0.0987751i
\(741\) 1.11046e7 1.11046e7i 0.742949 0.742949i
\(742\) −2.46715e6 1.12202e6i −0.164507 0.0748151i
\(743\) 1.91198e7 1.27061 0.635304 0.772262i \(-0.280875\pi\)
0.635304 + 0.772262i \(0.280875\pi\)
\(744\) 3.42314e6 + 1.14576e7i 0.226721 + 0.758858i
\(745\) 754843. 1.00628e6i 0.0498271 0.0664245i
\(746\) −1.24739e7 5.67290e6i −0.820643 0.373214i
\(747\) −4.67149e6 4.67149e6i −0.306305 0.306305i
\(748\) 5.96004e6 + 407405.i 0.389489 + 0.0266239i
\(749\) −7.03895e6 7.03895e6i −0.458462 0.458462i
\(750\) 14387.5 1.03860e7i 0.000933968 0.674212i
\(751\) 881549. 0.0570357 0.0285178 0.999593i \(-0.490921\pi\)
0.0285178 + 0.999593i \(0.490921\pi\)
\(752\) 1.06703e7 + 1.46560e6i 0.688068 + 0.0945087i
\(753\) 9.88116e6i 0.635068i
\(754\) −2.04250e7 + 7.65481e6i −1.30838 + 0.490350i
\(755\) 3.04069e6 + 2.12977e7i 0.194136 + 1.35977i
\(756\) 7.49103e6 + 512057.i 0.476691 + 0.0325847i
\(757\) 1.84441e7 + 1.84441e7i 1.16982 + 1.16982i 0.982252 + 0.187567i \(0.0600603\pi\)
0.187567 + 0.982252i \(0.439940\pi\)
\(758\) −5.27350e6 + 1.15957e7i −0.333370 + 0.733031i
\(759\) 2.27564e6i 0.143384i
\(760\) 1.95881e7 9.03424e6i 1.23015 0.567358i
\(761\) 8.41324e6i