Properties

Label 33.6.f.a.2.12
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.12

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12695 - 3.46841i) q^{2} +(4.32414 + 14.9767i) q^{3} +(15.1287 + 10.9916i) q^{4} +(-54.0225 + 17.5530i) q^{5} +(56.8185 + 1.88017i) q^{6} +(-123.528 + 170.022i) q^{7} +(149.586 - 108.681i) q^{8} +(-205.604 + 129.523i) q^{9} +O(q^{10})\) \(q+(1.12695 - 3.46841i) q^{2} +(4.32414 + 14.9767i) q^{3} +(15.1287 + 10.9916i) q^{4} +(-54.0225 + 17.5530i) q^{5} +(56.8185 + 1.88017i) q^{6} +(-123.528 + 170.022i) q^{7} +(149.586 - 108.681i) q^{8} +(-205.604 + 129.523i) q^{9} +207.153i q^{10} +(371.428 - 151.962i) q^{11} +(-99.1999 + 274.108i) q^{12} +(787.456 + 255.860i) q^{13} +(450.495 + 620.053i) q^{14} +(-496.487 - 733.177i) q^{15} +(-23.4554 - 72.1881i) q^{16} +(-271.716 - 836.254i) q^{17} +(217.533 + 859.084i) q^{18} +(68.7247 + 94.5915i) q^{19} +(-1010.23 - 328.242i) q^{20} +(-3080.52 - 1114.85i) q^{21} +(-108.485 - 1459.52i) q^{22} +181.300i q^{23} +(2274.51 + 1770.35i) q^{24} +(82.1421 - 59.6798i) q^{25} +(1774.85 - 2442.88i) q^{26} +(-2828.89 - 2519.19i) q^{27} +(-3737.64 + 1214.43i) q^{28} +(2737.59 + 1988.98i) q^{29} +(-3102.48 + 895.762i) q^{30} +(3130.16 - 9633.65i) q^{31} +5639.94 q^{32} +(3882.00 + 4905.66i) q^{33} -3206.69 q^{34} +(3688.91 - 11353.3i) q^{35} +(-4534.18 - 300.408i) q^{36} +(7064.64 + 5132.76i) q^{37} +(405.532 - 131.765i) q^{38} +(-426.866 + 12899.9i) q^{39} +(-6173.33 + 8496.87i) q^{40} +(-9188.63 + 6675.93i) q^{41} +(-7338.35 + 9428.13i) q^{42} +13220.1i q^{43} +(7289.53 + 1783.61i) q^{44} +(8833.70 - 10606.1i) q^{45} +(628.824 + 204.317i) q^{46} +(-5657.77 - 7787.25i) q^{47} +(979.716 - 663.436i) q^{48} +(-8454.59 - 26020.6i) q^{49} +(-114.423 - 352.159i) q^{50} +(11349.4 - 7685.49i) q^{51} +(9100.86 + 12526.3i) q^{52} +(18113.9 + 5885.58i) q^{53} +(-11925.6 + 6972.73i) q^{54} +(-17398.1 + 14729.0i) q^{55} +38858.0i q^{56} +(-1119.49 + 1438.30i) q^{57} +(9983.73 - 7253.60i) q^{58} +(11850.4 - 16310.7i) q^{59} +(547.626 - 16549.2i) q^{60} +(16929.4 - 5500.68i) q^{61} +(-29885.9 - 21713.4i) q^{62} +(3376.10 - 50956.8i) q^{63} +(7106.52 - 21871.6i) q^{64} -47031.4 q^{65} +(21389.7 - 7935.91i) q^{66} +21860.9 q^{67} +(5081.11 - 15638.0i) q^{68} +(-2715.28 + 783.969i) q^{69} +(-35220.6 - 25589.3i) q^{70} +(-49762.3 + 16168.7i) q^{71} +(-16678.8 + 41719.9i) q^{72} +(2267.52 - 3120.98i) q^{73} +(25764.1 - 18718.7i) q^{74} +(1249.00 + 972.155i) q^{75} +2186.44i q^{76} +(-20044.9 + 81922.4i) q^{77} +(44261.0 + 16018.1i) q^{78} +(17238.9 + 5601.25i) q^{79} +(2534.23 + 3488.07i) q^{80} +(25496.6 - 53260.7i) q^{81} +(12799.7 + 39393.4i) q^{82} +(-4034.30 - 12416.3i) q^{83} +(-34350.3 - 50726.2i) q^{84} +(29357.5 + 40407.1i) q^{85} +(45852.7 + 14898.4i) q^{86} +(-17950.6 + 49600.7i) q^{87} +(39045.0 - 63098.3i) q^{88} +29686.6i q^{89} +(-26831.1 - 42591.5i) q^{90} +(-140775. + 102279. i) q^{91} +(-1992.79 + 2742.84i) q^{92} +(157816. + 5222.24i) q^{93} +(-33385.4 + 10847.6i) q^{94} +(-5373.04 - 3903.74i) q^{95} +(24387.9 + 84467.7i) q^{96} +(-1768.78 + 5443.76i) q^{97} -99778.0 q^{98} +(-56684.3 + 79352.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12695 3.46841i 0.199219 0.613134i −0.800682 0.599090i \(-0.795529\pi\)
0.999901 0.0140446i \(-0.00447068\pi\)
\(3\) 4.32414 + 14.9767i 0.277394 + 0.960756i
\(4\) 15.1287 + 10.9916i 0.472772 + 0.343489i
\(5\) −54.0225 + 17.5530i −0.966383 + 0.313997i −0.749355 0.662168i \(-0.769636\pi\)
−0.217028 + 0.976165i \(0.569636\pi\)
\(6\) 56.8185 + 1.88017i 0.644335 + 0.0213215i
\(7\) −123.528 + 170.022i −0.952842 + 1.31147i −0.00258819 + 0.999997i \(0.500824\pi\)
−0.950254 + 0.311477i \(0.899176\pi\)
\(8\) 149.586 108.681i 0.826353 0.600381i
\(9\) −205.604 + 129.523i −0.846105 + 0.533016i
\(10\) 207.153i 0.655077i
\(11\) 371.428 151.962i 0.925534 0.378664i
\(12\) −99.1999 + 274.108i −0.198865 + 0.549500i
\(13\) 787.456 + 255.860i 1.29231 + 0.419898i 0.872901 0.487898i \(-0.162236\pi\)
0.419412 + 0.907796i \(0.362236\pi\)
\(14\) 450.495 + 620.053i 0.614285 + 0.845491i
\(15\) −496.487 733.177i −0.569743 0.841358i
\(16\) −23.4554 72.1881i −0.0229056 0.0704962i
\(17\) −271.716 836.254i −0.228030 0.701804i −0.997970 0.0636879i \(-0.979714\pi\)
0.769940 0.638117i \(-0.220286\pi\)
\(18\) 217.533 + 859.084i 0.158250 + 0.624963i
\(19\) 68.7247 + 94.5915i 0.0436746 + 0.0601130i 0.830296 0.557323i \(-0.188171\pi\)
−0.786621 + 0.617436i \(0.788171\pi\)
\(20\) −1010.23 328.242i −0.564733 0.183493i
\(21\) −3080.52 1114.85i −1.52432 0.551654i
\(22\) −108.485 1459.52i −0.0477873 0.642914i
\(23\) 181.300i 0.0714627i 0.999361 + 0.0357313i \(0.0113761\pi\)
−0.999361 + 0.0357313i \(0.988624\pi\)
\(24\) 2274.51 + 1770.35i 0.806045 + 0.627382i
\(25\) 82.1421 59.6798i 0.0262855 0.0190975i
\(26\) 1774.85 2442.88i 0.514908 0.708710i
\(27\) −2828.89 2519.19i −0.746803 0.665045i
\(28\) −3737.64 + 1214.43i −0.900953 + 0.292738i
\(29\) 2737.59 + 1988.98i 0.604468 + 0.439172i 0.847462 0.530856i \(-0.178129\pi\)
−0.242994 + 0.970028i \(0.578129\pi\)
\(30\) −3102.48 + 895.762i −0.629369 + 0.181714i
\(31\) 3130.16 9633.65i 0.585009 1.80047i −0.0142248 0.999899i \(-0.504528\pi\)
0.599234 0.800574i \(-0.295472\pi\)
\(32\) 5639.94 0.973642
\(33\) 3882.00 + 4905.66i 0.620541 + 0.784174i
\(34\) −3206.69 −0.475728
\(35\) 3688.91 11353.3i 0.509011 1.56658i
\(36\) −4534.18 300.408i −0.583100 0.0386327i
\(37\) 7064.64 + 5132.76i 0.848371 + 0.616378i 0.924696 0.380705i \(-0.124319\pi\)
−0.0763253 + 0.997083i \(0.524319\pi\)
\(38\) 405.532 131.765i 0.0455581 0.0148027i
\(39\) −426.866 + 12899.9i −0.0449397 + 1.35808i
\(40\) −6173.33 + 8496.87i −0.610056 + 0.839670i
\(41\) −9188.63 + 6675.93i −0.853672 + 0.620229i −0.926156 0.377140i \(-0.876907\pi\)
0.0724837 + 0.997370i \(0.476907\pi\)
\(42\) −7338.35 + 9428.13i −0.641912 + 0.824712i
\(43\) 13220.1i 1.09034i 0.838325 + 0.545171i \(0.183535\pi\)
−0.838325 + 0.545171i \(0.816465\pi\)
\(44\) 7289.53 + 1783.61i 0.567633 + 0.138889i
\(45\) 8833.70 10606.1i 0.650296 0.780772i
\(46\) 628.824 + 204.317i 0.0438162 + 0.0142367i
\(47\) −5657.77 7787.25i −0.373594 0.514209i 0.580279 0.814418i \(-0.302944\pi\)
−0.953873 + 0.300209i \(0.902944\pi\)
\(48\) 979.716 663.436i 0.0613758 0.0415619i
\(49\) −8454.59 26020.6i −0.503040 1.54820i
\(50\) −114.423 352.159i −0.00647277 0.0199211i
\(51\) 11349.4 7685.49i 0.611009 0.413758i
\(52\) 9100.86 + 12526.3i 0.466739 + 0.642411i
\(53\) 18113.9 + 5885.58i 0.885775 + 0.287806i 0.716353 0.697738i \(-0.245810\pi\)
0.169422 + 0.985544i \(0.445810\pi\)
\(54\) −11925.6 + 6972.73i −0.556540 + 0.325400i
\(55\) −17398.1 + 14729.0i −0.775522 + 0.656549i
\(56\) 38858.0i 1.65581i
\(57\) −1119.49 + 1438.30i −0.0456388 + 0.0586356i
\(58\) 9983.73 7253.60i 0.389693 0.283129i
\(59\) 11850.4 16310.7i 0.443204 0.610018i −0.527716 0.849421i \(-0.676952\pi\)
0.970920 + 0.239403i \(0.0769516\pi\)
\(60\) 547.626 16549.2i 0.0196384 0.593471i
\(61\) 16929.4 5500.68i 0.582527 0.189274i −0.00290549 0.999996i \(-0.500925\pi\)
0.585432 + 0.810721i \(0.300925\pi\)
\(62\) −29885.9 21713.4i −0.987386 0.717378i
\(63\) 3376.10 50956.8i 0.107168 1.61752i
\(64\) 7106.52 21871.6i 0.216874 0.667469i
\(65\) −47031.4 −1.38072
\(66\) 21389.7 7935.91i 0.604428 0.224252i
\(67\) 21860.9 0.594950 0.297475 0.954730i \(-0.403855\pi\)
0.297475 + 0.954730i \(0.403855\pi\)
\(68\) 5081.11 15638.0i 0.133256 0.410119i
\(69\) −2715.28 + 783.969i −0.0686582 + 0.0198233i
\(70\) −35220.6 25589.3i −0.859116 0.624185i
\(71\) −49762.3 + 16168.7i −1.17153 + 0.380654i −0.829215 0.558930i \(-0.811212\pi\)
−0.342318 + 0.939584i \(0.611212\pi\)
\(72\) −16678.8 + 41719.9i −0.379169 + 0.948445i
\(73\) 2267.52 3120.98i 0.0498017 0.0685462i −0.783390 0.621531i \(-0.786511\pi\)
0.833192 + 0.552984i \(0.186511\pi\)
\(74\) 25764.1 18718.7i 0.546934 0.397371i
\(75\) 1249.00 + 972.155i 0.0256395 + 0.0199564i
\(76\) 2186.44i 0.0434215i
\(77\) −20044.9 + 81922.4i −0.385280 + 1.57462i
\(78\) 44261.0 + 16018.1i 0.823729 + 0.298109i
\(79\) 17238.9 + 5601.25i 0.310771 + 0.100976i 0.460250 0.887789i \(-0.347760\pi\)
−0.149479 + 0.988765i \(0.547760\pi\)
\(80\) 2534.23 + 3488.07i 0.0442712 + 0.0609341i
\(81\) 25496.6 53260.7i 0.431788 0.901975i
\(82\) 12799.7 + 39393.4i 0.210216 + 0.646977i
\(83\) −4034.30 12416.3i −0.0642796 0.197832i 0.913759 0.406257i \(-0.133166\pi\)
−0.978038 + 0.208425i \(0.933166\pi\)
\(84\) −34350.3 50726.2i −0.531168 0.784393i
\(85\) 29357.5 + 40407.1i 0.440729 + 0.606611i
\(86\) 45852.7 + 14898.4i 0.668526 + 0.217217i
\(87\) −17950.6 + 49600.7i −0.254261 + 0.702570i
\(88\) 39045.0 63098.3i 0.537476 0.868583i
\(89\) 29686.6i 0.397270i 0.980074 + 0.198635i \(0.0636509\pi\)
−0.980074 + 0.198635i \(0.936349\pi\)
\(90\) −26831.1 42591.5i −0.349166 0.554264i
\(91\) −140775. + 102279.i −1.78206 + 1.29474i
\(92\) −1992.79 + 2742.84i −0.0245466 + 0.0337855i
\(93\) 157816. + 5222.24i 1.89209 + 0.0626108i
\(94\) −33385.4 + 10847.6i −0.389706 + 0.126623i
\(95\) −5373.04 3903.74i −0.0610817 0.0443785i
\(96\) 24387.9 + 84467.7i 0.270082 + 0.935432i
\(97\) −1768.78 + 5443.76i −0.0190873 + 0.0587448i −0.960147 0.279497i \(-0.909832\pi\)
0.941059 + 0.338242i \(0.109832\pi\)
\(98\) −99778.0 −1.04947
\(99\) −56684.3 + 79352.3i −0.581265 + 0.813714i
\(100\) 1898.68 0.0189868
\(101\) 26881.8 82733.6i 0.262213 0.807010i −0.730109 0.683331i \(-0.760531\pi\)
0.992322 0.123679i \(-0.0394693\pi\)
\(102\) −13866.2 48025.6i −0.131964 0.457059i
\(103\) −49220.0 35760.4i −0.457139 0.332131i 0.335269 0.942122i \(-0.391173\pi\)
−0.792408 + 0.609992i \(0.791173\pi\)
\(104\) 145599. 47308.1i 1.32001 0.428896i
\(105\) 185986. + 6154.42i 1.64629 + 0.0544771i
\(106\) 40827.2 56193.8i 0.352927 0.485762i
\(107\) −50413.7 + 36627.7i −0.425685 + 0.309279i −0.779921 0.625878i \(-0.784741\pi\)
0.354236 + 0.935156i \(0.384741\pi\)
\(108\) −15107.3 69206.1i −0.124632 0.570933i
\(109\) 7605.35i 0.0613130i 0.999530 + 0.0306565i \(0.00975980\pi\)
−0.999530 + 0.0306565i \(0.990240\pi\)
\(110\) 31479.5 + 76942.5i 0.248054 + 0.606296i
\(111\) −46323.4 + 128000.i −0.356856 + 0.986057i
\(112\) 15171.0 + 4929.34i 0.114279 + 0.0371316i
\(113\) −99030.2 136303.i −0.729578 1.00418i −0.999151 0.0411977i \(-0.986883\pi\)
0.269573 0.962980i \(-0.413117\pi\)
\(114\) 3726.99 + 5503.76i 0.0268594 + 0.0396641i
\(115\) −3182.36 9794.30i −0.0224391 0.0690603i
\(116\) 19554.1 + 60181.2i 0.134925 + 0.415256i
\(117\) −195043. + 49387.8i −1.31725 + 0.333546i
\(118\) −43217.3 59483.5i −0.285728 0.393271i
\(119\) 175746. + 57103.4i 1.13767 + 0.369653i
\(120\) −153949. 55714.5i −0.975944 0.353196i
\(121\) 114866. 112886.i 0.713227 0.700933i
\(122\) 64917.0i 0.394874i
\(123\) −139716. 108748.i −0.832693 0.648123i
\(124\) 153245. 111339.i 0.895018 0.650269i
\(125\) 100947. 138941.i 0.577852 0.795346i
\(126\) −172934. 69135.7i −0.970410 0.387950i
\(127\) 101468. 32968.8i 0.558236 0.181382i −0.0162913 0.999867i \(-0.505186\pi\)
0.574527 + 0.818485i \(0.305186\pi\)
\(128\) 78158.6 + 56785.6i 0.421650 + 0.306347i
\(129\) −197993. + 57165.5i −1.04755 + 0.302454i
\(130\) −53002.3 + 163124.i −0.275065 + 0.846564i
\(131\) −360609. −1.83594 −0.917971 0.396649i \(-0.870173\pi\)
−0.917971 + 0.396649i \(0.870173\pi\)
\(132\) 4808.37 + 116886.i 0.0240195 + 0.583884i
\(133\) −24572.1 −0.120452
\(134\) 24636.2 75822.5i 0.118526 0.364784i
\(135\) 197043. + 86437.5i 0.930520 + 0.408195i
\(136\) −131529. 95561.7i −0.609783 0.443033i
\(137\) −12345.5 + 4011.30i −0.0561963 + 0.0182593i −0.336980 0.941512i \(-0.609406\pi\)
0.280784 + 0.959771i \(0.409406\pi\)
\(138\) −340.875 + 10301.2i −0.00152369 + 0.0460459i
\(139\) −78268.7 + 107728.i −0.343598 + 0.472922i −0.945488 0.325657i \(-0.894415\pi\)
0.601890 + 0.798579i \(0.294415\pi\)
\(140\) 180600. 131213.i 0.778748 0.565793i
\(141\) 92162.3 118408.i 0.390396 0.501572i
\(142\) 190818.i 0.794141i
\(143\) 331364. 24630.0i 1.35508 0.100722i
\(144\) 14172.5 + 11804.1i 0.0569562 + 0.0474382i
\(145\) −182804. 59396.6i −0.722047 0.234607i
\(146\) −8269.43 11381.9i −0.0321066 0.0441909i
\(147\) 353144. 239139.i 1.34790 0.912760i
\(148\) 50461.3 + 155304.i 0.189367 + 0.582812i
\(149\) −29369.9 90391.3i −0.108377 0.333550i 0.882131 0.471004i \(-0.156108\pi\)
−0.990508 + 0.137454i \(0.956108\pi\)
\(150\) 4779.40 3236.47i 0.0173438 0.0117448i
\(151\) 272.876 + 375.582i 0.000973920 + 0.00134049i 0.809504 0.587115i \(-0.199736\pi\)
−0.808530 + 0.588455i \(0.799736\pi\)
\(152\) 20560.5 + 6680.51i 0.0721813 + 0.0234531i
\(153\) 164180. + 136743.i 0.567010 + 0.472257i
\(154\) 261551. + 161847.i 0.888699 + 0.549923i
\(155\) 575377.i 1.92364i
\(156\) −148249. + 190466.i −0.487730 + 0.626623i
\(157\) 277830. 201856.i 0.899561 0.653569i −0.0387923 0.999247i \(-0.512351\pi\)
0.938353 + 0.345678i \(0.112351\pi\)
\(158\) 38854.9 53479.1i 0.123823 0.170428i
\(159\) −9819.26 + 296737.i −0.0308025 + 0.930849i
\(160\) −304683. + 98997.6i −0.940911 + 0.305721i
\(161\) −30825.0 22395.7i −0.0937214 0.0680926i
\(162\) −155997. 148455.i −0.467011 0.444435i
\(163\) −34185.5 + 105212.i −0.100780 + 0.310168i −0.988717 0.149797i \(-0.952138\pi\)
0.887937 + 0.459965i \(0.152138\pi\)
\(164\) −212392. −0.616634
\(165\) −295824. 196875.i −0.845909 0.562964i
\(166\) −47611.3 −0.134103
\(167\) 44850.9 138037.i 0.124446 0.383004i −0.869354 0.494190i \(-0.835465\pi\)
0.993800 + 0.111185i \(0.0354648\pi\)
\(168\) −581965. + 168028.i −1.59083 + 0.459311i
\(169\) 254240. + 184716.i 0.684742 + 0.497494i
\(170\) 173233. 56286.8i 0.459736 0.149377i
\(171\) −26381.8 10546.9i −0.0689945 0.0275826i
\(172\) −145310. + 200003.i −0.374520 + 0.515483i
\(173\) −59652.2 + 43339.8i −0.151534 + 0.110096i −0.660969 0.750413i \(-0.729855\pi\)
0.509435 + 0.860509i \(0.329855\pi\)
\(174\) 151806. + 118158.i 0.380116 + 0.295862i
\(175\) 21338.1i 0.0526697i
\(176\) −19681.8 23248.3i −0.0478943 0.0565732i
\(177\) 295523. + 106950.i 0.709021 + 0.256596i
\(178\) 102965. + 33455.5i 0.243580 + 0.0791439i
\(179\) −387161. 532881.i −0.903148 1.24308i −0.969453 0.245277i \(-0.921121\pi\)
0.0663054 0.997799i \(-0.478879\pi\)
\(180\) 250221. 63359.6i 0.575628 0.145758i
\(181\) −242067. 745004.i −0.549210 1.69029i −0.710764 0.703430i \(-0.751651\pi\)
0.161554 0.986864i \(-0.448349\pi\)
\(182\) 196098. + 603528.i 0.438829 + 1.35058i
\(183\) 155587. + 229760.i 0.343436 + 0.507163i
\(184\) 19703.8 + 27120.0i 0.0429048 + 0.0590534i
\(185\) −471745. 153279.i −1.01339 0.329271i
\(186\) 195964. 541484.i 0.415331 1.14763i
\(187\) −228002. 269318.i −0.476798 0.563197i
\(188\) 179999.i 0.371429i
\(189\) 777764. 169782.i 1.58377 0.345730i
\(190\) −19595.0 + 14236.6i −0.0393786 + 0.0286102i
\(191\) −491438. + 676406.i −0.974731 + 1.34160i −0.0351112 + 0.999383i \(0.511179\pi\)
−0.939620 + 0.342219i \(0.888821\pi\)
\(192\) 358295. + 11856.2i 0.701435 + 0.0232110i
\(193\) 410394. 133345.i 0.793063 0.257682i 0.115655 0.993289i \(-0.463103\pi\)
0.677408 + 0.735608i \(0.263103\pi\)
\(194\) 16887.8 + 12269.7i 0.0322159 + 0.0234062i
\(195\) −203371. 704375.i −0.383002 1.32653i
\(196\) 158102. 486587.i 0.293966 0.904733i
\(197\) 540996. 0.993180 0.496590 0.867985i \(-0.334585\pi\)
0.496590 + 0.867985i \(0.334585\pi\)
\(198\) 211346. + 286031.i 0.383117 + 0.518501i
\(199\) −865900. −1.55001 −0.775006 0.631954i \(-0.782253\pi\)
−0.775006 + 0.631954i \(0.782253\pi\)
\(200\) 5801.28 17854.5i 0.0102553 0.0315626i
\(201\) 94529.6 + 327404.i 0.165036 + 0.571602i
\(202\) −256660. 186474.i −0.442567 0.321544i
\(203\) −676339. + 219756.i −1.15193 + 0.374283i
\(204\) 256178. + 8477.12i 0.430989 + 0.0142617i
\(205\) 379210. 521938.i 0.630225 0.867430i
\(206\) −179500. + 130415.i −0.294712 + 0.214121i
\(207\) −23482.6 37276.0i −0.0380907 0.0604649i
\(208\) 62846.3i 0.100721i
\(209\) 39900.6 + 24690.3i 0.0631850 + 0.0390986i
\(210\) 230944. 638141.i 0.361376 0.998546i
\(211\) −389179. 126452.i −0.601788 0.195533i −0.00775042 0.999970i \(-0.502467\pi\)
−0.594038 + 0.804437i \(0.702467\pi\)
\(212\) 209348. + 288143.i 0.319911 + 0.440320i
\(213\) −457334. 675359.i −0.690692 1.01997i
\(214\) 70225.9 + 216133.i 0.104824 + 0.322617i
\(215\) −232052. 714181.i −0.342364 1.05369i
\(216\) −696948. 69390.3i −1.01640 0.101196i
\(217\) 1.25127e6 + 1.72222e6i 1.80385 + 2.48279i
\(218\) 26378.5 + 8570.89i 0.0375931 + 0.0122147i
\(219\) 56547.1 + 20464.5i 0.0796709 + 0.0288330i
\(220\) −425106. + 31597.8i −0.592162 + 0.0440150i
\(221\) 728034.i 1.00270i
\(222\) 391752. + 304919.i 0.533493 + 0.415242i
\(223\) 25630.6 18621.7i 0.0345141 0.0250760i −0.570394 0.821371i \(-0.693210\pi\)
0.604909 + 0.796295i \(0.293210\pi\)
\(224\) −696691. + 958912.i −0.927727 + 1.27691i
\(225\) −9158.82 + 22909.7i −0.0120610 + 0.0301691i
\(226\) −584359. + 189870.i −0.761042 + 0.247277i
\(227\) 518477. + 376696.i 0.667829 + 0.485206i 0.869298 0.494289i \(-0.164572\pi\)
−0.201469 + 0.979495i \(0.564572\pi\)
\(228\) −32745.7 + 9454.50i −0.0417174 + 0.0120448i
\(229\) −39626.6 + 121958.i −0.0499342 + 0.153682i −0.972914 0.231166i \(-0.925746\pi\)
0.922980 + 0.384848i \(0.125746\pi\)
\(230\) −37557.0 −0.0468135
\(231\) −1.31361e6 + 54038.3i −1.61970 + 0.0666302i
\(232\) 625668. 0.763175
\(233\) −280426. + 863062.i −0.338398 + 1.04148i 0.626626 + 0.779321i \(0.284436\pi\)
−0.965024 + 0.262162i \(0.915564\pi\)
\(234\) −48507.8 + 732148.i −0.0579125 + 0.874097i
\(235\) 442336. + 321376.i 0.522495 + 0.379615i
\(236\) 358563. 116504.i 0.419069 0.136164i
\(237\) −9344.90 + 282402.i −0.0108070 + 0.326586i
\(238\) 396116. 545207.i 0.453294 0.623905i
\(239\) 706601. 513376.i 0.800165 0.581354i −0.110798 0.993843i \(-0.535341\pi\)
0.910962 + 0.412489i \(0.135341\pi\)
\(240\) −41281.4 + 53037.4i −0.0462622 + 0.0594366i
\(241\) 912585.i 1.01212i 0.862499 + 0.506058i \(0.168898\pi\)
−0.862499 + 0.506058i \(0.831102\pi\)
\(242\) −262086. 525620.i −0.287677 0.576944i
\(243\) 907922. + 151549.i 0.986354 + 0.164640i
\(244\) 316581. + 102863.i 0.340416 + 0.110608i
\(245\) 913476. + 1.25729e6i 0.972259 + 1.33820i
\(246\) −534636. + 362040.i −0.563275 + 0.381434i
\(247\) 29915.5 + 92070.5i 0.0312000 + 0.0960236i
\(248\) −578762. 1.78125e6i −0.597545 1.83905i
\(249\) 168510. 114110.i 0.172238 0.116634i
\(250\) −368143. 506705.i −0.372534 0.512749i
\(251\) 796095. + 258667.i 0.797592 + 0.259153i 0.679334 0.733830i \(-0.262269\pi\)
0.118258 + 0.992983i \(0.462269\pi\)
\(252\) 611175. 733802.i 0.606268 0.727909i
\(253\) 27550.8 + 67340.0i 0.0270603 + 0.0661411i
\(254\) 389085.i 0.378408i
\(255\) −478220. + 614405.i −0.460550 + 0.591703i
\(256\) 880401. 639649.i 0.839616 0.610017i
\(257\) 701227. 965156.i 0.662256 0.911517i −0.337298 0.941398i \(-0.609513\pi\)
0.999553 + 0.0298812i \(0.00951289\pi\)
\(258\) −24855.9 + 751145.i −0.0232478 + 0.702545i
\(259\) −1.74536e6 + 567103.i −1.61673 + 0.525306i
\(260\) −711524. 516952.i −0.652764 0.474261i
\(261\) −820476. 54359.9i −0.745530 0.0493944i
\(262\) −406390. + 1.25074e6i −0.365755 + 1.12568i
\(263\) 1.43358e6 1.27801 0.639004 0.769203i \(-0.279347\pi\)
0.639004 + 0.769203i \(0.279347\pi\)
\(264\) 1.11384e6 + 311919.i 0.983589 + 0.275444i
\(265\) −1.08187e6 −0.946368
\(266\) −27691.6 + 85226.0i −0.0239963 + 0.0738530i
\(267\) −444608. + 128369.i −0.381680 + 0.110200i
\(268\) 330727. + 240287.i 0.281276 + 0.204359i
\(269\) −890842. + 289452.i −0.750619 + 0.243891i −0.659248 0.751926i \(-0.729125\pi\)
−0.0913717 + 0.995817i \(0.529125\pi\)
\(270\) 521859. 586014.i 0.435656 0.489213i
\(271\) 1.11770e6 1.53838e6i 0.924490 1.27245i −0.0374800 0.999297i \(-0.511933\pi\)
0.961970 0.273154i \(-0.0880669\pi\)
\(272\) −53994.5 + 39229.3i −0.0442514 + 0.0321505i
\(273\) −2.14053e6 1.66607e6i −1.73826 1.35297i
\(274\) 47339.8i 0.0380935i
\(275\) 21440.8 34649.2i 0.0170966 0.0276288i
\(276\) −49695.8 17985.0i −0.0392688 0.0142114i
\(277\) −96764.3 31440.6i −0.0757732 0.0246202i 0.270885 0.962612i \(-0.412684\pi\)
−0.346658 + 0.937991i \(0.612684\pi\)
\(278\) 285438. + 392872.i 0.221513 + 0.304887i
\(279\) 604206. + 2.38614e6i 0.464702 + 1.83521i
\(280\) −682073. 2.09920e6i −0.519919 1.60015i
\(281\) 325003. + 1.00026e6i 0.245540 + 0.755693i 0.995547 + 0.0942641i \(0.0300498\pi\)
−0.750008 + 0.661429i \(0.769950\pi\)
\(282\) −306824. 453097.i −0.229756 0.339288i
\(283\) 458566. + 631161.i 0.340357 + 0.468462i 0.944546 0.328380i \(-0.106503\pi\)
−0.604188 + 0.796842i \(0.706503\pi\)
\(284\) −930560. 302357.i −0.684618 0.222446i
\(285\) 35231.4 97350.8i 0.0256932 0.0709949i
\(286\) 288005. 1.17706e6i 0.208202 0.850912i
\(287\) 2.38693e6i 1.71055i
\(288\) −1.15959e6 + 730501.i −0.823803 + 0.518967i
\(289\) 523196. 380124.i 0.368485 0.267720i
\(290\) −412023. + 567102.i −0.287691 + 0.395973i
\(291\) −89178.0 2950.97i −0.0617341 0.00204283i
\(292\) 68609.3 22292.5i 0.0470897 0.0153004i
\(293\) 1.68641e6 + 1.22525e6i 1.14761 + 0.833787i 0.988161 0.153420i \(-0.0490287\pi\)
0.159448 + 0.987206i \(0.449029\pi\)
\(294\) −431454. 1.49435e6i −0.291116 1.00828i
\(295\) −353888. + 1.08915e6i −0.236761 + 0.728676i
\(296\) 1.61460e6 1.07112
\(297\) −1.43355e6 505813.i −0.943020 0.332735i
\(298\) −346613. −0.226102
\(299\) −46387.5 + 142766.i −0.0300070 + 0.0923521i
\(300\) 8210.18 + 28436.0i 0.00526683 + 0.0182417i
\(301\) −2.24770e6 1.63305e6i −1.42996 1.03892i
\(302\) 1610.19 523.183i 0.00101592 0.000330093i
\(303\) 1.35532e6 + 44848.5i 0.848076 + 0.0280635i
\(304\) 5216.42 7179.79i 0.00323734 0.00445582i
\(305\) −818012. + 594321.i −0.503512 + 0.365823i
\(306\) 659306. 415339.i 0.402516 0.253571i
\(307\) 1.94144e6i 1.17565i −0.808988 0.587825i \(-0.799984\pi\)
0.808988 0.587825i \(-0.200016\pi\)
\(308\) −1.20371e6 + 1.01905e6i −0.723014 + 0.612097i
\(309\) 322739. 891786.i 0.192289 0.531330i
\(310\) 1.99564e6 + 648424.i 1.17945 + 0.383226i
\(311\) −1.64750e6 2.26759e6i −0.965881 1.32942i −0.944100 0.329659i \(-0.893066\pi\)
−0.0217810 0.999763i \(-0.506934\pi\)
\(312\) 1.33811e6 + 1.97603e6i 0.778226 + 1.14923i
\(313\) 465690. + 1.43325e6i 0.268680 + 0.826913i 0.990823 + 0.135169i \(0.0431576\pi\)
−0.722142 + 0.691745i \(0.756842\pi\)
\(314\) −387016. 1.19111e6i −0.221516 0.681755i
\(315\) 712058. + 2.81207e6i 0.404333 + 1.59680i
\(316\) 199235. + 274223.i 0.112240 + 0.154485i
\(317\) 382279. + 124210.i 0.213664 + 0.0694238i 0.413893 0.910325i \(-0.364169\pi\)
−0.200229 + 0.979749i \(0.564169\pi\)
\(318\) 1.01814e6 + 368467.i 0.564599 + 0.204329i
\(319\) 1.31907e6 + 322751.i 0.725755 + 0.177578i
\(320\) 1.30630e6i 0.713129i
\(321\) −766558. 596647.i −0.415224 0.323188i
\(322\) −112416. + 81674.9i −0.0604210 + 0.0438985i
\(323\) 60429.0 83173.3i 0.0322284 0.0443586i
\(324\) 971154. 525516.i 0.513956 0.278114i
\(325\) 79953.0 25978.3i 0.0419881 0.0136428i
\(326\) 326393. + 237138.i 0.170097 + 0.123583i
\(327\) −113903. + 32886.6i −0.0589069 + 0.0170079i
\(328\) −648946. + 1.99725e6i −0.333061 + 1.02506i
\(329\) 2.02290e6 1.03035
\(330\) −1.01622e6 + 804170.i −0.513694 + 0.406502i
\(331\) −1.93267e6 −0.969587 −0.484794 0.874629i \(-0.661105\pi\)
−0.484794 + 0.874629i \(0.661105\pi\)
\(332\) 75441.8 232186.i 0.0375636 0.115609i
\(333\) −2.11733e6 140281.i −1.04635 0.0693250i
\(334\) −428223. 311123.i −0.210041 0.152604i
\(335\) −1.18098e6 + 383723.i −0.574950 + 0.186813i
\(336\) −8223.92 + 248526.i −0.00397403 + 0.120095i
\(337\) −1.95903e6 + 2.69637e6i −0.939649 + 1.29332i 0.0163253 + 0.999867i \(0.494803\pi\)
−0.955975 + 0.293449i \(0.905197\pi\)
\(338\) 927188. 673642.i 0.441444 0.320728i
\(339\) 1.61316e6 2.07254e6i 0.762389 0.979499i
\(340\) 933994.i 0.438174i
\(341\) −301321. 4.05387e6i −0.140328 1.88792i
\(342\) −66312.2 + 79617.1i −0.0306569 + 0.0368079i
\(343\) 2.10918e6 + 685316.i 0.968009 + 0.314525i
\(344\) 1.43676e6 + 1.97754e6i 0.654620 + 0.901008i
\(345\) 132925. 90013.2i 0.0601257 0.0407154i
\(346\) 83095.1 + 255740.i 0.0373151 + 0.114844i
\(347\) 365441. + 1.12471e6i 0.162927 + 0.501438i 0.998878 0.0473667i \(-0.0150829\pi\)
−0.835950 + 0.548805i \(0.815083\pi\)
\(348\) −816762. + 553088.i −0.361533 + 0.244820i
\(349\) 610605. + 840425.i 0.268347 + 0.369348i 0.921831 0.387593i \(-0.126693\pi\)
−0.653484 + 0.756940i \(0.726693\pi\)
\(350\) 74009.3 + 24047.1i 0.0322936 + 0.0104928i
\(351\) −1.58306e6 2.70755e6i −0.685852 1.17303i
\(352\) 2.09483e6 857057.i 0.901139 0.368683i
\(353\) 3.52494e6i 1.50562i 0.658238 + 0.752810i \(0.271302\pi\)
−0.658238 + 0.752810i \(0.728698\pi\)
\(354\) 703990. 904469.i 0.298578 0.383606i
\(355\) 2.40447e6 1.74695e6i 1.01263 0.735715i
\(356\) −326305. + 449120.i −0.136458 + 0.187818i
\(357\) −95269.0 + 2.87902e6i −0.0395622 + 1.19557i
\(358\) −2.28456e6 + 742300.i −0.942097 + 0.306106i
\(359\) −309369. 224769.i −0.126689 0.0920452i 0.522636 0.852556i \(-0.324949\pi\)
−0.649325 + 0.760511i \(0.724949\pi\)
\(360\) 168721. 2.54657e6i 0.0686140 1.03562i
\(361\) 760932. 2.34191e6i 0.307311 0.945806i
\(362\) −2.85678e6 −1.14579
\(363\) 2.18736e6 + 1.23218e6i 0.871270 + 0.490803i
\(364\) −3.25395e6 −1.28723
\(365\) −67714.8 + 208405.i −0.0266043 + 0.0818795i
\(366\) 972243. 280710.i 0.379378 0.109536i
\(367\) 2.13451e6 + 1.55081e6i 0.827241 + 0.601026i 0.918777 0.394776i \(-0.129178\pi\)
−0.0915363 + 0.995802i \(0.529178\pi\)
\(368\) 13087.7 4252.47i 0.00503785 0.00163690i
\(369\) 1.02453e6 2.56273e6i 0.391704 0.979800i
\(370\) −1.06327e6 + 1.46347e6i −0.403775 + 0.555748i
\(371\) −3.23826e6 + 2.35273e6i −1.22145 + 0.887437i
\(372\) 2.33014e6 + 1.81366e6i 0.873022 + 0.679514i
\(373\) 685829.i 0.255237i −0.991823 0.127619i \(-0.959267\pi\)
0.991823 0.127619i \(-0.0407334\pi\)
\(374\) −1.19105e6 + 487295.i −0.440303 + 0.180141i
\(375\) 2.51739e6 + 911047.i 0.924426 + 0.334551i
\(376\) −1.69264e6 549973.i −0.617442 0.200619i
\(377\) 1.64683e6 + 2.26667e6i 0.596755 + 0.821363i
\(378\) 287632. 2.88894e6i 0.103540 1.03994i
\(379\) 74748.0 + 230051.i 0.0267302 + 0.0822670i 0.963532 0.267594i \(-0.0862287\pi\)
−0.936801 + 0.349861i \(0.886229\pi\)
\(380\) −38378.6 118117.i −0.0136342 0.0419618i
\(381\) 932524. + 1.37709e6i 0.329115 + 0.486015i
\(382\) 1.79223e6 + 2.46679e6i 0.628397 + 0.864914i
\(383\) −5.06165e6 1.64463e6i −1.76317 0.572890i −0.765652 0.643255i \(-0.777583\pi\)
−0.997521 + 0.0703658i \(0.977583\pi\)
\(384\) −512492. + 1.41611e6i −0.177361 + 0.490082i
\(385\) −355108. 4.77750e6i −0.122098 1.64266i
\(386\) 1.57369e6i 0.537589i
\(387\) −1.71230e6 2.71809e6i −0.581170 0.922544i
\(388\) −86595.2 + 62915.1i −0.0292021 + 0.0212166i
\(389\) 1.25011e6 1.72062e6i 0.418864 0.576517i −0.546488 0.837467i \(-0.684036\pi\)
0.965352 + 0.260950i \(0.0840358\pi\)
\(390\) −2.67225e6 88426.9i −0.889644 0.0294390i
\(391\) 151613. 49262.1i 0.0501528 0.0162956i
\(392\) −4.09262e6 2.97346e6i −1.34520 0.977343i
\(393\) −1.55933e6 5.40074e6i −0.509279 1.76389i
\(394\) 609678. 1.87640e6i 0.197861 0.608953i
\(395\) −1.02960e6 −0.332030
\(396\) −1.72977e6 + 577444.i −0.554308 + 0.185043i
\(397\) 809498. 0.257774 0.128887 0.991659i \(-0.458860\pi\)
0.128887 + 0.991659i \(0.458860\pi\)
\(398\) −975830. + 3.00330e6i −0.308792 + 0.950365i
\(399\) −106253. 368009.i −0.0334125 0.115725i
\(400\) −6234.84 4529.88i −0.00194839 0.00141559i
\(401\) 2.48451e6 807266.i 0.771578 0.250701i 0.103337 0.994646i \(-0.467048\pi\)
0.668240 + 0.743946i \(0.267048\pi\)
\(402\) 1.24210e6 + 41102.1i 0.383347 + 0.0126852i
\(403\) 4.92973e6 6.78519e6i 1.51203 2.08113i
\(404\) 1.31606e6 956177.i 0.401166 0.291464i
\(405\) −442508. + 3.32482e6i −0.134055 + 1.00723i
\(406\) 2.59348e6i 0.780849i
\(407\) 3.40399e6 + 832892.i 1.01860 + 0.249231i
\(408\) 862447. 2.38310e6i 0.256497 0.708748i
\(409\) −3.97909e6 1.29288e6i −1.17618 0.382166i −0.345237 0.938516i \(-0.612201\pi\)
−0.830948 + 0.556350i \(0.812201\pi\)
\(410\) −1.38294e6 1.90346e6i −0.406298 0.559221i
\(411\) −113460. 167550.i −0.0331312 0.0489259i
\(412\) −351568. 1.08202e6i −0.102039 0.314044i
\(413\) 1.30932e6 + 4.02966e6i 0.377719 + 1.16250i
\(414\) −155752. + 39438.8i −0.0446615 + 0.0113090i
\(415\) 435886. + 599945.i 0.124237 + 0.170998i
\(416\) 4.44120e6 + 1.44303e6i 1.25825 + 0.408830i
\(417\) −1.95185e6 706377.i −0.549675 0.198928i
\(418\) 130602. 110567.i 0.0365604 0.0309517i
\(419\) 1.91587e6i 0.533129i 0.963817 + 0.266564i \(0.0858885\pi\)
−0.963817 + 0.266564i \(0.914112\pi\)
\(420\) 2.74608e6 + 2.13740e6i 0.759609 + 0.591239i
\(421\) −2.21589e6 + 1.60994e6i −0.609316 + 0.442694i −0.849173 0.528114i \(-0.822899\pi\)
0.239857 + 0.970808i \(0.422899\pi\)
\(422\) −877175. + 1.20733e6i −0.239776 + 0.330023i
\(423\) 2.17188e6 + 868275.i 0.590182 + 0.235943i
\(424\) 3.34924e6 1.08823e6i 0.904756 0.293973i
\(425\) −72226.8 52475.8i −0.0193966 0.0140925i
\(426\) −2.85782e6 + 825122.i −0.762975 + 0.220290i
\(427\) −1.15602e6 + 3.55785e6i −0.306827 + 0.944317i
\(428\) −1.16529e6 −0.307486
\(429\) 1.80174e6 + 4.85624e6i 0.472661 + 1.27396i
\(430\) −2.73859e6 −0.714258
\(431\) 836269. 2.57377e6i 0.216847 0.667386i −0.782171 0.623064i \(-0.785887\pi\)
0.999017 0.0443213i \(-0.0141125\pi\)
\(432\) −115503. + 263300.i −0.0297772 + 0.0678801i
\(433\) −3.26271e6 2.37050e6i −0.836293 0.607603i 0.0850396 0.996378i \(-0.472898\pi\)
−0.921333 + 0.388775i \(0.872898\pi\)
\(434\) 7.38350e6 2.39904e6i 1.88165 0.611384i
\(435\) 99094.9 2.99464e6i 0.0251089 0.758790i
\(436\) −83595.3 + 115059.i −0.0210603 + 0.0289871i
\(437\) −17149.5 + 12459.8i −0.00429583 + 0.00312110i
\(438\) 134705. 173066.i 0.0335505 0.0431049i
\(439\) 5.62831e6i 1.39385i 0.717144 + 0.696925i \(0.245449\pi\)
−0.717144 + 0.696925i \(0.754551\pi\)
\(440\) −1.00174e6 + 4.09408e6i −0.246675 + 1.00815i
\(441\) 5.10855e6 + 4.25486e6i 1.25084 + 1.04181i
\(442\) −2.52512e6 820462.i −0.614790 0.199757i
\(443\) −3.67278e6 5.05514e6i −0.889171 1.22384i −0.973795 0.227426i \(-0.926969\pi\)
0.0846244 0.996413i \(-0.473031\pi\)
\(444\) −2.10774e6 + 1.42730e6i −0.507411 + 0.343604i
\(445\) −521089. 1.60375e6i −0.124742 0.383915i
\(446\) −35703.2 109883.i −0.00849905 0.0261574i
\(447\) 1.22676e6 830730.i 0.290397 0.196649i
\(448\) 2.84080e6 + 3.91003e6i 0.668722 + 0.920417i
\(449\) −1.91621e6 622614.i −0.448567 0.145748i 0.0760179 0.997106i \(-0.475779\pi\)
−0.524585 + 0.851358i \(0.675779\pi\)
\(450\) 69138.5 + 57584.7i 0.0160949 + 0.0134053i
\(451\) −2.39842e6 + 3.87595e6i −0.555245 + 0.897298i
\(452\) 3.15060e6i 0.725349i
\(453\) −4445.02 + 5710.86i −0.00101772 + 0.00130754i
\(454\) 1.89084e6 1.37377e6i 0.430541 0.312806i
\(455\) 5.80970e6 7.99637e6i 1.31560 1.81077i
\(456\) −11145.5 + 336816.i −0.00251008 + 0.0758544i
\(457\) −4.76057e6 + 1.54680e6i −1.06627 + 0.346453i −0.789035 0.614348i \(-0.789419\pi\)
−0.277238 + 0.960801i \(0.589419\pi\)
\(458\) 378344. + 274883.i 0.0842797 + 0.0612328i
\(459\) −1.33803e6 + 3.05017e6i −0.296438 + 0.675760i
\(460\) 59510.4 183154.i 0.0131129 0.0403573i
\(461\) −5.57175e6 −1.22107 −0.610533 0.791991i \(-0.709045\pi\)
−0.610533 + 0.791991i \(0.709045\pi\)
\(462\) −1.29295e6 + 4.61702e6i −0.281823 + 1.00637i
\(463\) 3.05729e6 0.662802 0.331401 0.943490i \(-0.392479\pi\)
0.331401 + 0.943490i \(0.392479\pi\)
\(464\) 79369.4 244274.i 0.0171143 0.0526723i
\(465\) −8.61725e6 + 2.48801e6i −1.84815 + 0.533606i
\(466\) 2.67743e6 + 1.94526e6i 0.571153 + 0.414967i
\(467\) −1.89169e6 + 614646.i −0.401381 + 0.130417i −0.502749 0.864432i \(-0.667678\pi\)
0.101368 + 0.994849i \(0.467678\pi\)
\(468\) −3.49361e6 1.39667e6i −0.737326 0.294768i
\(469\) −2.70043e6 + 3.71683e6i −0.566893 + 0.780262i
\(470\) 1.61316e6 1.17203e6i 0.336846 0.244733i
\(471\) 4.22451e6 + 3.28813e6i 0.877453 + 0.682963i
\(472\) 3.72776e6i 0.770181i
\(473\) 2.00895e6 + 4.91030e6i 0.412873 + 1.00915i
\(474\) 968955. + 350666.i 0.198088 + 0.0716883i
\(475\) 11290.4 + 3668.47i 0.00229602 + 0.000746021i
\(476\) 2.03115e6 + 2.79564e6i 0.410889 + 0.565540i
\(477\) −4.48661e6 + 1.13607e6i −0.902863 + 0.228618i
\(478\) −984290. 3.02933e6i −0.197040 0.606425i
\(479\) 2.58505e6 + 7.95598e6i 0.514791 + 1.58436i 0.783662 + 0.621187i \(0.213349\pi\)
−0.268871 + 0.963176i \(0.586651\pi\)
\(480\) −2.80015e6 4.13507e6i −0.554726 0.819181i
\(481\) 4.24983e6 + 5.84938e6i 0.837545 + 1.15278i
\(482\) 3.16522e6 + 1.02844e6i 0.620563 + 0.201633i
\(483\) 202122. 558500.i 0.0394226 0.108932i
\(484\) 2.97857e6 445251.i 0.577956 0.0863955i
\(485\) 325133.i 0.0627634i
\(486\) 1.54882e6 2.97826e6i 0.297447 0.571968i
\(487\) 6.57088e6 4.77402e6i 1.25545 0.912141i 0.256929 0.966430i \(-0.417289\pi\)
0.998525 + 0.0542895i \(0.0172894\pi\)
\(488\) 1.93458e6 2.66272e6i 0.367736 0.506145i
\(489\) −1.72355e6 57033.7i −0.325951 0.0107860i
\(490\) 5.39025e6 1.75140e6i 1.01419 0.329530i
\(491\) −2.92636e6 2.12612e6i −0.547802 0.398002i 0.279172 0.960241i \(-0.409940\pi\)
−0.826975 + 0.562239i \(0.809940\pi\)
\(492\) −918412. 3.18093e6i −0.171051 0.592435i
\(493\) 919444. 2.82976e6i 0.170376 0.524363i
\(494\) 353052. 0.0650910
\(495\) 1.66936e6 5.28179e6i 0.306222 0.968875i
\(496\) −768854. −0.140327
\(497\) 3.39800e6 1.04580e7i 0.617067 1.89914i
\(498\) −205878. 713061.i −0.0371995 0.128841i
\(499\) −8.08262e6 5.87237e6i −1.45312 1.05575i −0.985090 0.172038i \(-0.944965\pi\)
−0.468027 0.883714i \(-0.655035\pi\)
\(500\) 3.05438e6 992429.i 0.546385 0.177531i
\(501\) 2.26128e6 + 74827.4i 0.402494 + 0.0133188i
\(502\) 1.79433e6 2.46968e6i 0.317792 0.437403i
\(503\) 698340. 507374.i 0.123069 0.0894145i −0.524548 0.851381i \(-0.675766\pi\)
0.647617 + 0.761966i \(0.275766\pi\)
\(504\) −5.03300e6 7.98934e6i −0.882572 1.40099i
\(505\) 4.94133e6i 0.862215i
\(506\) 264611. 19668.4i 0.0459443 0.00341501i
\(507\) −1.66707e6 + 4.60642e6i −0.288027 + 0.795872i
\(508\) 1.89745e6 + 616520.i 0.326221 + 0.105996i
\(509\) 3.11506e6 + 4.28752e6i 0.532933 + 0.733519i 0.987574 0.157156i \(-0.0502325\pi\)
−0.454641 + 0.890675i \(0.650232\pi\)
\(510\) 1.59208e6 + 2.35107e6i 0.271043 + 0.400258i
\(511\) 250532. + 771057.i 0.0424434 + 0.130627i
\(512\) −271066. 834256.i −0.0456983 0.140645i
\(513\) 43879.4 440719.i 0.00736151 0.0739381i
\(514\) −2.55731e6 3.51983e6i −0.426948 0.587643i
\(515\) 3.28668e6 + 1.06791e6i 0.546060 + 0.177425i
\(516\) −3.62372e6 1.31143e6i −0.599143 0.216831i
\(517\) −3.28482e6 2.03263e6i −0.540487 0.334451i
\(518\) 6.69274e6i 1.09592i
\(519\) −907033. 705985.i −0.147810 0.115048i
\(520\) −7.03523e6 + 5.11140e6i −1.14096 + 0.828955i
\(521\) −1.12962e6 + 1.55479e6i −0.182322 + 0.250945i −0.890389 0.455201i \(-0.849568\pi\)
0.708067 + 0.706146i \(0.249568\pi\)
\(522\) −1.11318e6 + 2.78449e6i −0.178809 + 0.447269i
\(523\) −5.71663e6 + 1.85745e6i −0.913873 + 0.296935i −0.727951 0.685629i \(-0.759527\pi\)
−0.185922 + 0.982564i \(0.559527\pi\)
\(524\) −5.45555e6 3.96369e6i −0.867981 0.630625i
\(525\) −319574. + 92269.0i −0.0506027 + 0.0146102i
\(526\) 1.61558e6 4.97226e6i 0.254604 0.783590i
\(527\) −8.90670e6 −1.39698
\(528\) 263077. 395298.i 0.0410674 0.0617078i
\(529\) 6.40347e6 0.994893
\(530\) −1.21922e6 + 3.75237e6i −0.188535 + 0.580250i
\(531\) −323879. + 4.88844e6i −0.0498478 + 0.752374i
\(532\) −371743. 270087.i −0.0569461 0.0413738i
\(533\) −8.94374e6 + 2.90600e6i −1.36365 + 0.443075i
\(534\) −55815.8 + 1.68675e6i −0.00847041 + 0.255975i
\(535\) 2.08055e6 2.86363e6i 0.314263 0.432546i
\(536\) 3.27008e6 2.37585e6i 0.491639 0.357197i
\(537\) 6.30667e6 8.10265e6i 0.943765 1.21253i
\(538\) 3.41600e6i 0.508818i
\(539\) −7.09441e6 8.37998e6i −1.05183 1.24243i
\(540\) 2.03091e6 + 3.47351e6i 0.299713 + 0.512606i
\(541\) 1.19000e7 + 3.86656e6i 1.74806 + 0.567978i 0.995855 0.0909567i \(-0.0289925\pi\)
0.752200 + 0.658934i \(0.228992\pi\)
\(542\) −4.07615e6 5.61033e6i −0.596007 0.820334i
\(543\) 1.01110e7 6.84687e6i 1.47161 0.996534i
\(544\) −1.53246e6 4.71642e6i −0.222020 0.683306i
\(545\) −133496. 410860.i −0.0192521 0.0592519i
\(546\) −8.19091e6 + 5.54665e6i −1.17585 + 0.796249i
\(547\) −5.25662e6 7.23512e6i −0.751170 1.03390i −0.997898 0.0648119i \(-0.979355\pi\)
0.246728 0.969085i \(-0.420645\pi\)
\(548\) −230862. 75011.7i −0.0328399 0.0106703i
\(549\) −2.76827e6 + 3.32370e6i −0.391993 + 0.470642i
\(550\) −96014.9 113414.i −0.0135342 0.0159867i
\(551\) 395645.i 0.0555170i
\(552\) −320966. + 412369.i −0.0448344 + 0.0576021i
\(553\) −3.08182e6 + 2.23907e6i −0.428543 + 0.311355i
\(554\) −218098. + 300186.i −0.0301910 + 0.0415543i
\(555\) 255725. 7.72798e6i 0.0352404 1.06496i
\(556\) −2.36821e6 + 769477.i −0.324887 + 0.105562i
\(557\) 9.74851e6 + 7.08271e6i 1.33137 + 0.967300i 0.999714 + 0.0239011i \(0.00760868\pi\)
0.331660 + 0.943399i \(0.392391\pi\)
\(558\) 8.95703e6 + 593439.i 1.21781 + 0.0806846i
\(559\) −3.38249e6 + 1.04102e7i −0.457833 + 1.40906i
\(560\) −906097. −0.122097
\(561\) 3.04758e6 4.57928e6i 0.408835 0.614314i
\(562\) 3.83556e6 0.512258
\(563\) −1.90157e6 + 5.85243e6i −0.252837 + 0.778153i 0.741411 + 0.671051i \(0.234157\pi\)
−0.994248 + 0.107102i \(0.965843\pi\)
\(564\) 2.69579e6 778342.i 0.356853 0.103032i
\(565\) 7.74238e6 + 5.62517e6i 1.02036 + 0.741335i
\(566\) 2.70591e6 879203.i 0.355036 0.115358i
\(567\) 5.90594e6 + 1.09142e7i 0.771492 + 1.42572i
\(568\) −5.68651e6 + 7.82681e6i −0.739563 + 1.01792i
\(569\) −3.13705e6 + 2.27920e6i −0.406201 + 0.295123i −0.772062 0.635547i \(-0.780775\pi\)
0.365861 + 0.930670i \(0.380775\pi\)
\(570\) −297948. 231907.i −0.0384108 0.0298969i
\(571\) 83422.9i 0.0107077i −0.999986 0.00535383i \(-0.998296\pi\)
0.999986 0.00535383i \(-0.00170419\pi\)
\(572\) 5.28383e6 + 3.26961e6i 0.675241 + 0.417836i
\(573\) −1.22554e7 4.43524e6i −1.55934 0.564327i
\(574\) −8.27887e6 2.68997e6i −1.04880 0.340775i
\(575\) 10820.0 + 14892.4i 0.00136476 + 0.00187843i
\(576\) 1.37175e6 + 5.41734e6i 0.172274 + 0.680346i
\(577\) −321293. 988839.i −0.0401756 0.123648i 0.928957 0.370187i \(-0.120706\pi\)
−0.969133 + 0.246540i \(0.920706\pi\)
\(578\) −728809. 2.24304e6i −0.0907390 0.279266i
\(579\) 3.77167e6 + 5.56975e6i 0.467560 + 0.690461i
\(580\) −2.11272e6 2.90791e6i −0.260778 0.358931i
\(581\) 2.60939e6 + 847843.i 0.320700 + 0.104202i
\(582\) −110735. + 305980.i −0.0135512 + 0.0374443i
\(583\) 7.62240e6 566568.i 0.928796 0.0690368i
\(584\) 713290.i 0.0865434i
\(585\) 9.66982e6 6.09164e6i 1.16823 0.735944i
\(586\) 6.15017e6 4.46836e6i 0.739849 0.537532i
\(587\) 2.93965e6 4.04609e6i 0.352128 0.484663i −0.595806 0.803128i \(-0.703167\pi\)
0.947935 + 0.318465i \(0.103167\pi\)
\(588\) 7.97113e6 + 263771.i 0.950772 + 0.0314618i
\(589\) 1.12638e6 365983.i 0.133782 0.0434683i
\(590\) 3.37882e6 + 2.45486e6i 0.399609 + 0.290333i
\(591\) 2.33934e6 + 8.10233e6i 0.275502 + 0.954204i
\(592\) 204821. 630374.i 0.0240198 0.0739255i
\(593\) 1.18116e7 1.37935 0.689673 0.724121i \(-0.257754\pi\)
0.689673 + 0.724121i \(0.257754\pi\)
\(594\) −3.36991e6 + 4.40210e6i −0.391879 + 0.511911i
\(595\) −1.04966e7 −1.21550
\(596\) 549220. 1.69033e6i 0.0633331 0.194919i
\(597\) −3.74428e6 1.29683e7i −0.429964 1.48918i
\(598\) 442895. + 321782.i 0.0506463 + 0.0367967i
\(599\) −1.23504e7 + 4.01288e6i −1.40641 + 0.456971i −0.911259 0.411834i \(-0.864888\pi\)
−0.495154 + 0.868806i \(0.664888\pi\)
\(600\) 292487. + 9678.62i 0.0331687 + 0.00109758i
\(601\) 3.50766e6 4.82788e6i 0.396124 0.545219i −0.563642 0.826019i \(-0.690600\pi\)
0.959766 + 0.280801i \(0.0906001\pi\)
\(602\) −8.19715e6 + 5.95558e6i −0.921874 + 0.669781i
\(603\) −4.49467e6 + 2.83148e6i −0.503390 + 0.317118i
\(604\) 8681.42i 0.000968275i
\(605\) −4.22386e6 + 8.11461e6i −0.469160 + 0.901321i
\(606\) 1.68294e6 4.65026e6i 0.186160 0.514394i
\(607\) −1.09237e6 354934.i −0.120337 0.0390999i 0.248229 0.968701i \(-0.420151\pi\)
−0.368566 + 0.929601i \(0.620151\pi\)
\(608\) 387603. + 533490.i 0.0425234 + 0.0585285i
\(609\) −6.21581e6 9.17908e6i −0.679132 1.00290i
\(610\) 1.13949e6 + 3.50698e6i 0.123989 + 0.381600i
\(611\) −2.46280e6 7.57971e6i −0.266886 0.821390i
\(612\) 980790. + 3.87336e6i 0.105852 + 0.418031i
\(613\) −4.74104e6 6.52548e6i −0.509591 0.701392i 0.474259 0.880385i \(-0.342716\pi\)
−0.983850 + 0.178993i \(0.942716\pi\)
\(614\) −6.73371e6 2.18791e6i −0.720831 0.234212i
\(615\) 9.45667e6 + 3.42238e6i 1.00821 + 0.364872i
\(616\) 5.90494e6 + 1.44329e7i 0.626995 + 1.53251i
\(617\) 5.81531e6i 0.614978i 0.951552 + 0.307489i \(0.0994887\pi\)
−0.951552 + 0.307489i \(0.900511\pi\)
\(618\) −2.72937e6 2.12439e6i −0.287469 0.223750i
\(619\) −3.05367e6 + 2.21862e6i −0.320328 + 0.232732i −0.736315 0.676638i \(-0.763436\pi\)
0.415987 + 0.909370i \(0.363436\pi\)
\(620\) −6.32434e6 + 8.70471e6i −0.660748 + 0.909442i
\(621\) 456730. 512878.i 0.0475259 0.0533685i
\(622\) −9.72157e6 + 3.15873e6i −1.00754 + 0.327368i
\(623\) −5.04738e6 3.66714e6i −0.521010 0.378536i
\(624\) 941230. 271756.i 0.0967686 0.0279395i
\(625\) −3.11261e6 + 9.57962e6i −0.318731 + 0.980953i
\(626\) 5.49590e6 0.560535
\(627\) −197244. + 704344.i −0.0200371 + 0.0715511i
\(628\) 6.42194e6 0.649781
\(629\) 2.37272e6 7.30249e6i 0.239122 0.735943i
\(630\) 1.05559e7 + 699370.i 1.05960 + 0.0702030i
\(631\) 1.91068e6 + 1.38819e6i 0.191036 + 0.138796i 0.679192 0.733961i \(-0.262330\pi\)
−0.488156 + 0.872756i \(0.662330\pi\)
\(632\) 3.18744e6 1.03566e6i 0.317431 0.103140i
\(633\) 210968. 6.37542e6i 0.0209270 0.632411i
\(634\) 861622. 1.18592e6i 0.0851322 0.117174i
\(635\) −4.90283e6 + 3.56211e6i −0.482517 + 0.350569i
\(636\) −3.41018e6 + 4.38132e6i −0.334299 + 0.429499i
\(637\) 2.26532e7i 2.21198i
\(638\) 2.60596e6 4.21134e6i 0.253464 0.409608i
\(639\) 8.13708e6 9.76971e6i 0.788345 0.946519i
\(640\) −5.21908e6 1.69578e6i −0.503667 0.163651i
\(641\) −6.25325e6 8.60686e6i −0.601120 0.827370i 0.394691 0.918814i \(-0.370852\pi\)
−0.995810 + 0.0914439i \(0.970852\pi\)
\(642\) −2.93329e6 + 1.98634e6i −0.280878 + 0.190203i
\(643\) 260898. + 802961.i 0.0248853 + 0.0765891i 0.962728 0.270472i \(-0.0871797\pi\)
−0.937843 + 0.347061i \(0.887180\pi\)
\(644\) −220177. 677636.i −0.0209198 0.0643845i
\(645\) 9.69266e6 6.56359e6i 0.917368 0.621215i
\(646\) −220379. 303325.i −0.0207773 0.0285974i
\(647\) −4.53009e6 1.47191e6i −0.425447 0.138236i 0.0884642 0.996079i \(-0.471804\pi\)
−0.513912 + 0.857843i \(0.671804\pi\)
\(648\) −1.97447e6 1.07380e7i −0.184719 1.00459i
\(649\) 1.92296e6 7.85906e6i 0.179209 0.732418i
\(650\) 306586.i 0.0284622i
\(651\) −2.03826e7 + 2.61870e7i −1.88498 + 2.42177i
\(652\) −1.67363e6 + 1.21597e6i −0.154185 + 0.112022i
\(653\) −7.62786e6 + 1.04989e7i −0.700035 + 0.963516i 0.299919 + 0.953965i \(0.403040\pi\)
−0.999954 + 0.00955129i \(0.996960\pi\)
\(654\) −14299.3 + 432124.i −0.00130729 + 0.0395061i
\(655\) 1.94810e7 6.32976e6i 1.77422 0.576480i
\(656\) 697446. + 506724.i 0.0632777 + 0.0459740i
\(657\) −61972.7 + 935380.i −0.00560128 + 0.0845424i
\(658\) 2.27971e6 7.01623e6i 0.205265 0.631741i
\(659\) 8.38698e6 0.752302 0.376151 0.926558i \(-0.377247\pi\)
0.376151 + 0.926558i \(0.377247\pi\)
\(660\) −2.31145e6 6.23006e6i −0.206550 0.556714i
\(661\) 631697. 0.0562348 0.0281174 0.999605i \(-0.491049\pi\)
0.0281174 + 0.999605i \(0.491049\pi\)
\(662\) −2.17803e6 + 6.70328e6i −0.193161 + 0.594487i
\(663\) 1.09036e7 3.14813e6i 0.963351 0.278143i
\(664\) −1.95288e6 1.41885e6i −0.171892 0.124887i
\(665\) 1.32744e6 431312.i 0.116402 0.0378214i
\(666\) −2.87268e6 + 7.18567e6i −0.250959 + 0.627742i
\(667\) −360602. + 496326.i −0.0313844 + 0.0431969i
\(668\) 2.19579e6 1.59533e6i 0.190392 0.138328i
\(669\) 389722. + 303339.i 0.0336659 + 0.0262037i
\(670\) 4.52856e6i 0.389738i
\(671\) 5.45214e6 4.61573e6i 0.467477 0.395762i
\(672\) −1.73739e7 6.28766e6i −1.48414 0.537113i
\(673\) −5.38285e6 1.74900e6i −0.458115 0.148851i 0.0708629 0.997486i \(-0.477425\pi\)
−0.528978 + 0.848635i \(0.677425\pi\)
\(674\) 7.14438e6 + 9.83340e6i 0.605780 + 0.833785i
\(675\) −382715. 38104.3i −0.0323308 0.00321895i
\(676\) 1.81599e6 + 5.58903e6i 0.152843 + 0.470402i
\(677\) −6.39032e6 1.96674e7i −0.535860 1.64921i −0.741784 0.670639i \(-0.766020\pi\)
0.205924 0.978568i \(-0.433980\pi\)
\(678\) −5.37047e6 7.93075e6i −0.448682 0.662582i
\(679\) −707063. 973189.i −0.0588551 0.0810070i
\(680\) 8.78293e6 + 2.85375e6i 0.728395 + 0.236670i
\(681\) −3.39969e6 + 9.39397e6i −0.280913 + 0.776214i
\(682\) −1.44001e7 3.52342e6i −1.18551 0.290071i
\(683\) 6.97615e6i 0.572221i −0.958197 0.286111i \(-0.907638\pi\)
0.958197 0.286111i \(-0.0923625\pi\)
\(684\) −283195. 449541.i −0.0231443 0.0367391i
\(685\) 596524. 433400.i 0.0485738 0.0352909i
\(686\) 4.75391e6 6.54320e6i 0.385692 0.530860i
\(687\) −1.99788e6 66111.5i −0.161502 0.00534423i
\(688\) 954333. 310082.i 0.0768650 0.0249750i
\(689\) 1.27580e7 + 9.26926e6i 1.02385 + 0.743870i
\(690\) −162402. 562480.i −0.0129858 0.0449764i
\(691\) 116026. 357092.i 0.00924402 0.0284502i −0.946328 0.323208i \(-0.895239\pi\)
0.955572 + 0.294757i \(0.0952388\pi\)
\(692\) −1.37884e6 −0.109458
\(693\) −6.48953e6 1.94398e7i −0.513311 1.53766i
\(694\) 4.31280e6 0.339907
\(695\) 2.33733e6 7.19356e6i 0.183551 0.564913i
\(696\) 2.70548e6 + 9.37045e6i 0.211700 + 0.733225i
\(697\) 8.07947e6 + 5.87008e6i 0.629943 + 0.457680i
\(698\) 3.60306e6 1.17071e6i 0.279920 0.0909514i
\(699\) −1.41384e7 467851.i −1.09448 0.0362172i
\(700\) −234541. + 322818.i −0.0180914 + 0.0249007i
\(701\) 1.16140e7 8.43806e6i 0.892661 0.648556i −0.0439098 0.999036i \(-0.513981\pi\)
0.936570 + 0.350480i \(0.113981\pi\)
\(702\) −1.11749e7 + 2.43943e6i −0.855859 + 0.186829i
\(703\) 1.02100e6i 0.0779182i
\(704\) −684101. 9.20365e6i −0.0520222 0.699888i
\(705\) −2.90043e6 + 8.01441e6i −0.219780 + 0.607294i
\(706\) 1.22260e7 + 3.97245e6i 0.923147 + 0.299949i
\(707\) 1.07459e7 + 1.47904e7i 0.808524 + 1.11284i
\(708\) 3.29532e6 + 4.86631e6i 0.247067 + 0.364852i
\(709\) 6.67958e6 + 2.05576e7i 0.499038 + 1.53588i 0.810568 + 0.585644i \(0.199158\pi\)
−0.311530 + 0.950236i \(0.600842\pi\)
\(710\) −3.34941e6 1.03084e7i −0.249358 0.767444i
\(711\) −4.26986e6 + 1.08119e6i −0.316767 + 0.0802100i
\(712\) 3.22636e6 + 4.44070e6i 0.238513 + 0.328286i
\(713\) 1.74658e6 + 567500.i 0.128667 + 0.0418063i
\(714\) 9.87826e6 + 3.57496e6i 0.725162 + 0.262437i
\(715\) −1.74688e7 + 7.14699e6i −1.27790 + 0.522827i
\(716\) 1.23173e7i 0.897912i
\(717\) 1.07441e7 + 8.36265e6i 0.780500 + 0.607499i
\(718\) −1.12824e6 + 819712.i −0.0816750 + 0.0593404i
\(719\) −1.28630e7 + 1.77044e7i −0.927939 + 1.27720i 0.0327192 + 0.999465i \(0.489583\pi\)
−0.960658 + 0.277734i \(0.910417\pi\)
\(720\) −972832. 388919.i −0.0699369 0.0279594i
\(721\) 1.21601e7 3.95106e6i 0.871162 0.283058i
\(722\) −7.26516e6 5.27845e6i −0.518684 0.376846i
\(723\) −1.36675e7 + 3.94615e6i −0.972398 + 0.280755i
\(724\) 4.52667e6 1.39317e7i 0.320946 0.987771i
\(725\) 343573. 0.0242758
\(726\) 6.73876e6 6.19804e6i 0.474502 0.436428i
\(727\) −1.34168e7 −0.941481 −0.470741 0.882272i \(-0.656013\pi\)
−0.470741 + 0.882272i \(0.656013\pi\)
\(728\) −9.94220e6 + 3.05989e7i −0.695271 + 2.13982i
\(729\) 1.65628e6 + 1.42530e7i 0.115429 + 0.993316i
\(730\) 646521. + 469725.i 0.0449030 + 0.0326240i
\(731\) 1.10553e7 3.59210e6i 0.765207 0.248631i
\(732\) −171613. + 5.18613e6i −0.0118378 + 0.357739i
\(733\) −5.34108e6 + 7.35136e6i −0.367171 + 0.505368i −0.952129 0.305696i \(-0.901111\pi\)
0.584958 + 0.811064i \(0.301111\pi\)
\(734\) 7.78433e6 5.65565e6i 0.533312 0.387474i
\(735\) −1.48801e7 + 1.91176e7i −1.01598 + 1.30531i
\(736\) 1.02252e6i 0.0695790i
\(737\) 8.11973e6 3.32203e6i 0.550647 0.225286i
\(738\) −7.73401e6 6.44157e6i −0.522714 0.435363i
\(739\) −7.33399e6 2.38296e6i −0.494002 0.160511i 0.0514122 0.998678i \(-0.483628\pi\)
−0.545415 + 0.838166i \(0.683628\pi\)
\(740\) −5.45209e6 7.50416e6i −0.366002 0.503759i
\(741\) −1.24955e6 + 846162.i −0.0836006 + 0.0566119i
\(742\) 4.51087e6 + 1.38830e7i 0.300781 + 0.925709i
\(743\) 4.13298e6 + 1.27200e7i 0.274657 + 0.845308i 0.989310 + 0.145829i \(0.0465848\pi\)
−0.714653 + 0.699479i \(0.753415\pi\)
\(744\) 2.41745e7 1.63703e7i 1.60113 1.08424i
\(745\) 3.17327e6 + 4.36763e6i 0.209467 + 0.288307i
\(746\) −2.37874e6 772899.i −0.156495 0.0508482i
\(747\) 2.43766e6 + 2.03030e6i 0.159835 + 0.133125i
\(748\) −489127. 6.58054e6i −0.0319645 0.430038i
\(749\) 1.30960e7i 0.852969i
\(750\) 5.99687e6 7.70463e6i 0.389288 0.500148i
\(751\) −1.06804e7 + 7.75976e6i −0.691015 + 0.502052i −0.876994 0.480502i \(-0.840454\pi\)
0.185979 + 0.982554i \(0.440454\pi\)
\(752\) −429442. + 591076.i −0.0276924 + 0.0381153i
\(753\) −431550. + 1.30414e7i −0.0277360 + 0.838179i
\(754\) 9.71765e6 3.15746e6i 0.622491 0.202260i
\(755\) −21334.0 15500.1i −0.00136209 0.000989615i
\(756\) 1.36327e7 + 5.98033e6i 0.867518 + 0.380558i
\(757\) 3.38586e6 1.04206e7i 0.214748 0.660927i −0.784423 0.620226i \(-0.787041\pi\)
0.999171 0.0407008i \(-0.0129590\pi\)
\(758\) 882148. 0.0557659
\(759\) −889398. + 703808.i −0.0560392 + 0.0443455i
\(760\) −1.22799e6 −0.0771190
\(761\) 3.09898e6 9.53767e6i 0.193980 0.597009i −0.806007 0.591906i \(-0.798376\pi\)
0.999987 0.00510296i \(-0.00162433\pi\)
\(762\) 5.82722e6 1.68246e6i 0.363558 0.104968i
\(763\) −1.29308e6 939475.i −0.0804105 0.0584216i
\(764\) −1.48696e7 + 4.83143e6i −0.921651 + 0.299463i
\(765\) −1.12696e7 4.50538e6i −0.696237 0.278341i
\(766\) −1.14085e7 + 1.57024e7i −0.702516 + 0.966931i
\(767\) 1.35049e7 9.81191e6i 0.828903 0.602234i
\(768\) 1.33868e7 + 1.04196e7i 0.818982 + 0.637451i
\(769\)