Properties

Label 33.6.f.a.2.7
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 2.7
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12695 + 3.46841i) q^{2} +(-12.9075 - 8.74056i) q^{3} +(15.1287 + 10.9916i) q^{4} +(54.0225 - 17.5530i) q^{5} +(44.8620 - 34.9182i) q^{6} +(-123.528 + 170.022i) q^{7} +(-149.586 + 108.681i) q^{8} +(90.2051 + 225.637i) q^{9} +O(q^{10})\) \(q+(-1.12695 + 3.46841i) q^{2} +(-12.9075 - 8.74056i) q^{3} +(15.1287 + 10.9916i) q^{4} +(54.0225 - 17.5530i) q^{5} +(44.8620 - 34.9182i) q^{6} +(-123.528 + 170.022i) q^{7} +(-149.586 + 108.681i) q^{8} +(90.2051 + 225.637i) 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} +(-850.716 - 245.623i) q^{15} +(-23.4554 - 72.1881i) q^{16} +(271.716 + 836.254i) q^{17} +(-884.259 + 58.5857i) 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} +(2880.70 - 95.3246i) q^{24} +(82.1421 - 59.6798i) q^{25} +(-1774.85 + 2442.88i) q^{26} +(807.875 - 3700.84i) q^{27} +(-3737.64 + 1214.43i) q^{28} +(-2737.59 - 1988.98i) q^{29} +(1810.64 - 2673.83i) q^{30} +(3130.16 - 9633.65i) q^{31} -5639.94 q^{32} +(6122.42 + 1285.04i) q^{33} -3206.69 q^{34} +(-3688.91 + 11353.3i) q^{35} +(-1115.43 + 4405.10i) q^{36} +(7064.64 + 5132.76i) q^{37} +(-405.532 + 131.765i) q^{38} +(-7927.69 - 10185.3i) q^{39} +(-6173.33 + 8496.87i) q^{40} +(9188.63 - 6675.93i) q^{41} +(395.133 + 11940.9i) 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} +(-328.216 + 1136.78i) q^{48} +(-8454.59 - 26020.6i) q^{49} +(114.423 + 352.159i) q^{50} +(3802.18 - 13168.9i) 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} +(-60.2791 - 1821.63i) q^{57} +(9983.73 - 7253.60i) q^{58} +(-11850.4 + 16310.7i) q^{59} +(-10170.4 - 13066.7i) q^{60} +(16929.4 - 5500.68i) q^{61} +(29885.9 + 21713.4i) q^{62} +(-49506.1 - 12535.7i) q^{63} +(7106.52 - 21871.6i) q^{64} +47031.4 q^{65} +(-11356.7 + 19786.9i) q^{66} +21860.9 q^{67} +(-5081.11 + 15638.0i) q^{68} +(-1584.67 + 2340.13i) q^{69} +(-35220.6 - 25589.3i) q^{70} +(49762.3 - 16168.7i) q^{71} +(-38015.8 - 23948.6i) q^{72} +(2267.52 - 3120.98i) q^{73} +(-25764.1 + 18718.7i) q^{74} +(-1581.88 + 52.3456i) 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} +(-42775.1 + 40707.2i) q^{81} +(12799.7 + 39393.4i) q^{82} +(4034.30 + 12416.3i) q^{83} +(58858.3 + 16993.8i) 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} +(-46741.5 + 18686.3i) q^{90} +(-140775. + 102279. i) q^{91} +(1992.79 - 2742.84i) q^{92} +(-124606. + 96986.6i) q^{93} +(-33385.4 + 10847.6i) q^{94} +(5373.04 + 3903.74i) q^{95} +(72797.3 + 49296.2i) q^{96} +(-1768.78 + 5443.76i) q^{97} +99778.0 q^{98} +(-67793.0 - 70100.0i) 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 \(0.204471\pi\)
−0.999901 + 0.0140446i \(0.995529\pi\)
\(3\) −12.9075 8.74056i −0.828014 0.560707i
\(4\) 15.1287 + 10.9916i 0.472772 + 0.343489i
\(5\) 54.0225 17.5530i 0.966383 0.313997i 0.217028 0.976165i \(-0.430364\pi\)
0.749355 + 0.662168i \(0.230364\pi\)
\(6\) 44.8620 34.9182i 0.508745 0.395980i
\(7\) −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
\(9\) 90.2051 + 225.637i 0.371214 + 0.928547i
\(10\) 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
\(15\) −850.716 245.623i −0.976239 0.281864i
\(16\) −23.4554 72.1881i −0.0229056 0.0704962i
\(17\) 271.716 + 836.254i 0.228030 + 0.701804i 0.997970 + 0.0636879i \(0.0202862\pi\)
−0.769940 + 0.638117i \(0.779714\pi\)
\(18\) −884.259 + 58.5857i −0.643277 + 0.0426197i
\(19\) 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 \(-0.988624\pi\)
0.999361 0.0357313i \(-0.0113761\pi\)
\(24\) 2880.70 95.3246i 1.02087 0.0337814i
\(25\) 82.1421 59.6798i 0.0262855 0.0190975i
\(26\) −1774.85 + 2442.88i −0.514908 + 0.708710i
\(27\) 807.875 3700.84i 0.213272 0.976993i
\(28\) −3737.64 + 1214.43i −0.900953 + 0.292738i
\(29\) −2737.59 1988.98i −0.604468 0.439172i 0.242994 0.970028i \(-0.421871\pi\)
−0.847462 + 0.530856i \(0.821871\pi\)
\(30\) 1810.64 2673.83i 0.367306 0.542413i
\(31\) 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
\(33\) 6122.42 + 1285.04i 0.978675 + 0.205415i
\(34\) −3206.69 −0.475728
\(35\) −3688.91 + 11353.3i −0.509011 + 1.56658i
\(36\) −1115.43 + 4405.10i −0.143446 + 0.566499i
\(37\) 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
\(39\) −7927.69 10185.3i −0.834614 1.07229i
\(40\) −6173.33 + 8496.87i −0.610056 + 0.839670i
\(41\) 9188.63 6675.93i 0.853672 0.620229i −0.0724837 0.997370i \(-0.523093\pi\)
0.926156 + 0.377140i \(0.123093\pi\)
\(42\) 395.133 + 11940.9i 0.0345637 + 1.04451i
\(43\) 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 0.953873 0.300209i \(-0.0970565\pi\)
−0.580279 + 0.814418i \(0.697056\pi\)
\(48\) −328.216 + 1136.78i −0.0205616 + 0.0712152i
\(49\) −8454.59 26020.6i −0.503040 1.54820i
\(50\) 114.423 + 352.159i 0.00647277 + 0.0199211i
\(51\) 3802.18 13168.9i 0.204695 0.708962i
\(52\) 9100.86 + 12526.3i 0.466739 + 0.642411i
\(53\) −18113.9 5885.58i −0.885775 0.287806i −0.169422 0.985544i \(-0.554190\pi\)
−0.716353 + 0.697738i \(0.754190\pi\)
\(54\) 11925.6 + 6972.73i 0.556540 + 0.325400i
\(55\) −17398.1 + 14729.0i −0.775522 + 0.656549i
\(56\) 38858.0i 1.65581i
\(57\) −60.2791 1821.63i −0.00245742 0.0742630i
\(58\) 9983.73 7253.60i 0.389693 0.283129i
\(59\) −11850.4 + 16310.7i −0.443204 + 0.610018i −0.970920 0.239403i \(-0.923048\pi\)
0.527716 + 0.849421i \(0.323048\pi\)
\(60\) −10170.4 13066.7i −0.364721 0.468585i
\(61\) 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
\(63\) −49506.1 12535.7i −1.57147 0.397920i
\(64\) 7106.52 21871.6i 0.216874 0.667469i
\(65\) 47031.4 1.38072
\(66\) −11356.7 + 19786.9i −0.320918 + 0.559136i
\(67\) 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
\(69\) −1584.67 + 2340.13i −0.0400696 + 0.0591721i
\(70\) −35220.6 25589.3i −0.859116 0.624185i
\(71\) 49762.3 16168.7i 1.17153 0.380654i 0.342318 0.939584i \(-0.388788\pi\)
0.829215 + 0.558930i \(0.188788\pi\)
\(72\) −38015.8 23948.6i −0.864236 0.544438i
\(73\) 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
\(75\) −1581.88 + 52.3456i −0.0324729 + 0.00107455i
\(76\) 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
\(81\) −42775.1 + 40707.2i −0.724400 + 0.689380i
\(82\) 12799.7 + 39393.4i 0.210216 + 0.646977i
\(83\) 4034.30 + 12416.3i 0.0642796 + 0.197832i 0.978038 0.208425i \(-0.0668337\pi\)
−0.913759 + 0.406257i \(0.866834\pi\)
\(84\) 58858.3 + 16993.8i 0.910142 + 0.262780i
\(85\) 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 \(-0.936349\pi\)
0.980074 0.198635i \(-0.0636509\pi\)
\(90\) −46741.5 + 18686.3i −0.608270 + 0.243174i
\(91\) −140775. + 102279.i −1.78206 + 1.29474i
\(92\) 1992.79 2742.84i 0.0245466 0.0337855i
\(93\) −124606. + 96986.6i −1.49393 + 1.16280i
\(94\) −33385.4 + 10847.6i −0.389706 + 0.126623i
\(95\) 5373.04 + 3903.74i 0.0610817 + 0.0443785i
\(96\) 72797.3 + 49296.2i 0.806189 + 0.545928i
\(97\) −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
\(99\) −67793.0 70100.0i −0.695179 0.718837i
\(100\) 1898.68 0.0189868
\(101\) −26881.8 + 82733.6i −0.262213 + 0.807010i 0.730109 + 0.683331i \(0.239469\pi\)
−0.992322 + 0.123679i \(0.960531\pi\)
\(102\) 41390.2 + 28028.2i 0.393910 + 0.266744i
\(103\) −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
\(105\) 146849. 114299.i 1.29986 1.01174i
\(106\) 40827.2 56193.8i 0.352927 0.485762i
\(107\) 50413.7 36627.7i 0.425685 0.309279i −0.354236 0.935156i \(-0.615259\pi\)
0.779921 + 0.625878i \(0.215259\pi\)
\(108\) 52900.4 47109.1i 0.436415 0.388638i
\(109\) 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 \(0.0131174\pi\)
−0.269573 + 0.962980i \(0.586883\pi\)
\(114\) 6386.09 + 1843.82i 0.0460228 + 0.0132879i
\(115\) −3182.36 9794.30i −0.0224391 0.0690603i
\(116\) −19554.1 60181.2i −0.134925 0.415256i
\(117\) 13301.1 + 200759.i 0.0898303 + 1.35585i
\(118\) −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
\(123\) −176953. + 5855.52i −1.05462 + 0.0348982i
\(124\) 153245. 111339.i 0.895018 0.650269i
\(125\) −100947. + 138941.i −0.577852 + 0.795346i
\(126\) 99270.0 157580.i 0.557047 0.884251i
\(127\) 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
\(129\) 115551. 170638.i 0.611363 0.902819i
\(130\) −53002.3 + 163124.i −0.275065 + 0.846564i
\(131\) 360609. 1.83594 0.917971 0.396649i \(-0.129827\pi\)
0.917971 + 0.396649i \(0.129827\pi\)
\(132\) 78499.6 + 86736.5i 0.392132 + 0.433278i
\(133\) −24572.1 −0.120452
\(134\) −24636.2 + 75822.5i −0.118526 + 0.364784i
\(135\) −21317.4 214109.i −0.100670 1.01112i
\(136\) −131529. 95561.7i −0.609783 0.443033i
\(137\) 12345.5 4011.30i 0.0561963 0.0182593i −0.280784 0.959771i \(-0.590594\pi\)
0.336980 + 0.941512i \(0.390594\pi\)
\(138\) −6330.68 8133.50i −0.0282978 0.0363563i
\(139\) −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
\(141\) −4962.48 149966.i −0.0210209 0.635249i
\(142\) 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
\(147\) −118307. + 409757.i −0.451562 + 1.56399i
\(148\) 50461.3 + 155304.i 0.189367 + 0.582812i
\(149\) 29369.9 + 90391.3i 0.108377 + 0.333550i 0.990508 0.137454i \(-0.0438918\pi\)
−0.882131 + 0.471004i \(0.843892\pi\)
\(150\) 1601.15 5545.61i 0.00581038 0.0201243i
\(151\) 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
\(156\) −7982.44 241229.i −0.0262618 0.793629i
\(157\) 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
\(159\) 182362. + 234294.i 0.572059 + 0.734967i
\(160\) −304683. + 98997.6i −0.940911 + 0.305721i
\(161\) 30825.0 + 22395.7i 0.0937214 + 0.0680926i
\(162\) −92983.8 194237.i −0.278368 0.581492i
\(163\) −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
\(165\) 353305. 38045.6i 1.01027 0.108791i
\(166\) −47611.3 −0.134103
\(167\) −44850.9 + 138037.i −0.124446 + 0.383004i −0.993800 0.111185i \(-0.964535\pi\)
0.869354 + 0.494190i \(0.164535\pi\)
\(168\) −339641. + 501558.i −0.928424 + 1.37103i
\(169\) 254240. + 184716.i 0.684742 + 0.497494i
\(170\) −173233. + 56286.8i −0.459736 + 0.149377i
\(171\) −15144.0 + 24039.5i −0.0396051 + 0.0628687i
\(172\) −145310. + 200003.i −0.374520 + 0.515483i
\(173\) 59652.2 43339.8i 0.151534 0.110096i −0.509435 0.860509i \(-0.670145\pi\)
0.660969 + 0.750413i \(0.270145\pi\)
\(174\) −192265. + 6362.20i −0.481424 + 0.0159307i
\(175\) 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 \(0.0788788\pi\)
−0.0663054 + 0.997799i \(0.521121\pi\)
\(180\) 17064.0 + 257553.i 0.0392553 + 0.592497i
\(181\) −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
\(183\) −266594. 76972.3i −0.588468 0.169905i
\(184\) 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
\(189\) 529429. + 594515.i 1.07809 + 1.21062i
\(190\) −19595.0 + 14236.6i −0.0393786 + 0.0286102i
\(191\) 491438. 676406.i 0.974731 1.34160i 0.0351112 0.999383i \(-0.488821\pi\)
0.939620 0.342219i \(-0.111179\pi\)
\(192\) −282898. + 220192.i −0.553830 + 0.431071i
\(193\) 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
\(195\) −607056. 411081.i −1.14325 0.774178i
\(196\) 158102. 486587.i 0.293966 0.904733i
\(197\) −540996. −0.993180 −0.496590 0.867985i \(-0.665415\pi\)
−0.496590 + 0.867985i \(0.665415\pi\)
\(198\) 319535. 156134.i 0.579236 0.283032i
\(199\) −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
\(201\) −282168. 191076.i −0.492627 0.333593i
\(202\) −256660. 186474.i −0.442567 0.321544i
\(203\) 676339. 219756.i 1.15193 0.374283i
\(204\) 202269. 157436.i 0.340295 0.264867i
\(205\) 379210. 521938.i 0.630225 0.867430i
\(206\) 179500. 130415.i 0.294712 0.214121i
\(207\) 40908.1 16354.2i 0.0663565 0.0265280i
\(208\) 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
\(213\) −783629. 226253.i −1.18348 0.341700i
\(214\) 70225.9 + 216133.i 0.104824 + 0.322617i
\(215\) 232052. + 714181.i 0.342364 + 1.05369i
\(216\) 281363. + 641394.i 0.410329 + 0.935386i
\(217\) 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
\(222\) 496161. 16418.3i 0.675678 0.0223587i
\(223\) 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
\(225\) 20875.6 + 13150.9i 0.0274905 + 0.0173180i
\(226\) −584359. + 189870.i −0.761042 + 0.247277i
\(227\) −518477. 376696.i −0.667829 0.485206i 0.201469 0.979495i \(-0.435428\pi\)
−0.869298 + 0.494289i \(0.835428\pi\)
\(228\) 19110.8 28221.4i 0.0243467 0.0359536i
\(229\) −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
\(231\) −974777. + 882207.i −1.20192 + 1.08778i
\(232\) 625668. 0.763175
\(233\) 280426. 863062.i 0.338398 1.04148i −0.626626 0.779321i \(-0.715564\pi\)
0.965024 0.262162i \(-0.0844356\pi\)
\(234\) −711304. 180113.i −0.849211 0.215033i
\(235\) 442336. + 321376.i 0.522495 + 0.379615i
\(236\) −358563. + 116504.i −0.419069 + 0.136164i
\(237\) −173552. 222975.i −0.200705 0.257861i
\(238\) 396116. 545207.i 0.453294 0.623905i
\(239\) −706601. + 513376.i −0.800165 + 0.581354i −0.910962 0.412489i \(-0.864659\pi\)
0.110798 + 0.993843i \(0.464659\pi\)
\(240\) 2222.80 + 67172.8i 0.00249099 + 0.0752775i
\(241\) 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
\(246\) 179109. 620346.i 0.188703 0.653576i
\(247\) 29915.5 + 92070.5i 0.0312000 + 0.0960236i
\(248\) 578762. + 1.78125e6i 0.597545 + 1.83905i
\(249\) 56452.9 195525.i 0.0577016 0.199850i
\(250\) −368143. 506705.i −0.372534 0.512749i
\(251\) −796095. 258667.i −0.797592 0.259153i −0.118258 0.992983i \(-0.537731\pi\)
−0.679334 + 0.733830i \(0.737731\pi\)
\(252\) −611175. 733802.i −0.606268 0.727909i
\(253\) 27550.8 + 67340.0i 0.0270603 + 0.0661411i
\(254\) 389085.i 0.378408i
\(255\) −25749.7 778154.i −0.0247983 0.749403i
\(256\) 880401. 639649.i 0.839616 0.610017i
\(257\) −701227. + 965156.i −0.662256 + 0.911517i −0.999553 0.0298812i \(-0.990487\pi\)
0.337298 + 0.941398i \(0.390487\pi\)
\(258\) 461621. + 593079.i 0.431754 + 0.554706i
\(259\) −1.74536e6 + 567103.i −1.61673 + 0.525306i
\(260\) 711524. + 516952.i 0.652764 + 0.474261i
\(261\) 201842. 797118.i 0.183404 0.724304i
\(262\) −406390. + 1.25074e6i −0.365755 + 1.12568i
\(263\) −1.43358e6 −1.27801 −0.639004 0.769203i \(-0.720653\pi\)
−0.639004 + 0.769203i \(0.720653\pi\)
\(264\) −1.05549e6 + 473164.i −0.932058 + 0.417832i
\(265\) −1.08187e6 −0.946368
\(266\) 27691.6 85226.0i 0.0239963 0.0738530i
\(267\) −259478. + 383179.i −0.222752 + 0.328945i
\(268\) 330727. + 240287.i 0.281276 + 0.204359i
\(269\) 890842. 289452.i 0.750619 0.243891i 0.0913717 0.995817i \(-0.470875\pi\)
0.659248 + 0.751926i \(0.270875\pi\)
\(270\) 766643. + 167354.i 0.640005 + 0.139710i
\(271\) 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
\(273\) 2.71102e6 89709.6i 2.20154 0.0728505i
\(274\) 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
\(279\) 2.45606e6 162724.i 1.88899 0.125153i
\(280\) −682073. 2.09920e6i −0.519919 1.60015i
\(281\) −325003. 1.00026e6i −0.245540 0.755693i −0.995547 0.0942641i \(-0.969950\pi\)
0.750008 0.661429i \(-0.230050\pi\)
\(282\) 525735. + 151793.i 0.393681 + 0.113665i
\(283\) 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
\(288\) −508751. 1.27258e6i −0.361430 0.904072i
\(289\) 523196. 380124.i 0.368485 0.267720i
\(290\) 412023. 567102.i 0.287691 0.395973i
\(291\) 70412.0 54804.9i 0.0487432 0.0379391i
\(292\) 68609.3 22292.5i 0.0470897 0.0153004i
\(293\) −1.68641e6 1.22525e6i −1.14761 0.833787i −0.159448 0.987206i \(-0.550971\pi\)
−0.988161 + 0.153420i \(0.950971\pi\)
\(294\) −1.28788e6 872115.i −0.868975 0.588445i
\(295\) −353888. + 1.08915e6i −0.236761 + 0.728676i
\(296\) −1.61460e6 −1.07112
\(297\) 262321. + 1.49736e6i 0.172561 + 0.984999i
\(298\) −346613. −0.226102
\(299\) 46387.5 142766.i 0.0300070 0.0923521i
\(300\) −24507.2 16595.6i −0.0157214 0.0106461i
\(301\) −2.24770e6 1.63305e6i −1.42996 1.03892i
\(302\) −1610.19 + 523.183i −0.00101592 + 0.000330093i
\(303\) 1.07011e6 832919.i 0.669612 0.521190i
\(304\) 5216.42 7179.79i 0.00323734 0.00445582i
\(305\) 818012. 594321.i 0.503512 0.365823i
\(306\) −289259. 723547.i −0.176597 0.441736i
\(307\) 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 \(0.106934\pi\)
0.0217810 + 0.999763i \(0.493066\pi\)
\(312\) 2.29282e6 + 661992.i 1.33347 + 0.385005i
\(313\) 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
\(315\) −2.89448e6 + 191771.i −1.64359 + 0.108895i
\(316\) 199235. + 274223.i 0.112240 + 0.154485i
\(317\) −382279. 124210.i −0.213664 0.0694238i 0.200229 0.979749i \(-0.435831\pi\)
−0.413893 + 0.910325i \(0.635831\pi\)
\(318\) −1.01814e6 + 368467.i −0.564599 + 0.204329i
\(319\) 1.31907e6 + 322751.i 0.725755 + 0.177578i
\(320\) 1.30630e6i 0.713129i
\(321\) −970859. + 32126.5i −0.525888 + 0.0174020i
\(322\) −112416. + 81674.9i −0.0604210 + 0.0438985i
\(323\) −60429.0 + 83173.3i −0.0322284 + 0.0443586i
\(324\) −1.09457e6 + 145679.i −0.579270 + 0.0770964i
\(325\) 79953.0 25978.3i 0.0419881 0.0136428i
\(326\) −326393. 237138.i −0.170097 0.123583i
\(327\) 66475.0 98165.7i 0.0343787 0.0507681i
\(328\) −648946. + 1.99725e6i −0.333061 + 1.02506i
\(329\) −2.02290e6 −1.03035
\(330\) −266201. + 1.26828e6i −0.134563 + 0.641107i
\(331\) −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
\(333\) −520874. + 2.05705e6i −0.257408 + 1.01656i
\(334\) −428223. 311123.i −0.210041 0.152604i
\(335\) 1.18098e6 383723.i 0.574950 0.186813i
\(336\) −152733. 196228.i −0.0738050 0.0948228i
\(337\) −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
\(339\) −86860.3 2.62491e6i −0.0410508 1.24055i
\(340\) 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
\(345\) −44531.5 + 154235.i −0.0201428 + 0.0697647i
\(346\) 83095.1 + 255740.i 0.0373151 + 0.114844i
\(347\) −365441. 1.12471e6i −0.162927 0.501438i 0.835950 0.548805i \(-0.184917\pi\)
−0.998878 + 0.0473667i \(0.984917\pi\)
\(348\) −273625. + 947701.i −0.121118 + 0.419491i
\(349\) 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 \(-0.728698\pi\)
0.658238 0.752810i \(-0.271302\pi\)
\(354\) 37906.3 + 1.14553e6i 0.0160769 + 0.485844i
\(355\) 2.40447e6 1.74695e6i 1.01263 0.735715i
\(356\) 326305. 449120.i 0.136458 0.187818i
\(357\) 1.76932e6 + 2.27318e6i 0.734744 + 0.943981i
\(358\) −2.28456e6 + 742300.i −0.942097 + 0.306106i
\(359\) 309369. + 224769.i 0.126689 + 0.0920452i 0.649325 0.760511i \(-0.275051\pi\)
−0.522636 + 0.852556i \(0.675051\pi\)
\(360\) −2.47407e6 626472.i −1.00614 0.254768i
\(361\) 760932. 2.34191e6i 0.307311 0.945806i
\(362\) 2.85678e6 1.14579
\(363\) −2.46931e6 + 453077.i −0.983580 + 0.180470i
\(364\) −3.25395e6 −1.28723
\(365\) 67714.8 208405.i 0.0266043 0.0818795i
\(366\) 567411. 837913.i 0.221409 0.326961i
\(367\) 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
\(369\) 2.33520e6 + 1.47109e6i 0.892808 + 0.562437i
\(370\) −1.06327e6 + 1.46347e6i −0.403775 + 0.555748i
\(371\) 3.23826e6 2.35273e6i 1.22145 0.887437i
\(372\) −2.95117e6 + 97656.4i −1.10570 + 0.0365884i
\(373\) 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
\(378\) −2.65866e6 + 1.16629e6i −0.957049 + 0.419832i
\(379\) 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
\(381\) −1.59785e6 461340.i −0.563929 0.162820i
\(382\) 1.79223e6 + 2.46679e6i 0.628397 + 0.864914i
\(383\) 5.06165e6 + 1.64463e6i 1.76317 + 0.572890i 0.997521 0.0703658i \(-0.0224166\pi\)
0.765652 + 0.643255i \(0.222417\pi\)
\(384\) 512492. + 1.41611e6i 0.177361 + 0.490082i
\(385\) −355108. 4.77750e6i −0.122098 1.64266i
\(386\) 1.57369e6i 0.537589i
\(387\) −2.98294e6 + 1.19252e6i −1.01243 + 0.404751i
\(388\) −86595.2 + 62915.1i −0.0292021 + 0.0212166i
\(389\) −1.25011e6 + 1.72062e6i −0.418864 + 0.576517i −0.965352 0.260950i \(-0.915964\pi\)
0.546488 + 0.837467i \(0.315964\pi\)
\(390\) 2.10992e6 1.64225e6i 0.702433 0.546736i
\(391\) 151613. 49262.1i 0.0501528 0.0162956i
\(392\) 4.09262e6 + 2.97346e6i 1.34520 + 0.977343i
\(393\) −4.65455e6 3.15193e6i −1.52018 1.02943i
\(394\) 609678. 1.87640e6i 0.197861 0.608953i
\(395\) 1.02960e6 0.332030
\(396\) −255105. 1.80568e6i −0.0817486 0.578632i
\(397\) 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
\(399\) 317163. + 214774.i 0.0997356 + 0.0675381i
\(400\) −6234.84 4529.88i −0.00194839 0.00141559i
\(401\) −2.48451e6 + 807266.i −0.771578 + 0.250701i −0.668240 0.743946i \(-0.732952\pi\)
−0.103337 + 0.994646i \(0.532952\pi\)
\(402\) 980722. 763342.i 0.302678 0.235588i
\(403\) 4.92973e6 6.78519e6i 1.51203 2.08113i
\(404\) −1.31606e6 + 956177.i −0.401166 + 0.291464i
\(405\) −1.59628e6 + 2.94993e6i −0.483584 + 0.893665i
\(406\) 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
\(411\) −194410. 56131.0i −0.0567694 0.0163907i
\(412\) −351568. 1.08202e6i −0.102039 0.314044i
\(413\) −1.30932e6 4.02966e6i −0.377719 1.16250i
\(414\) 10621.6 + 160316.i 0.00304572 + 0.0459703i
\(415\) 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 \(-0.914112\pi\)
0.963817 0.266564i \(-0.0858885\pi\)
\(420\) 3.47796e6 115088.i 0.962058 0.0318352i
\(421\) −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
\(423\) −1.24673e6 + 1.97905e6i −0.338783 + 0.537782i
\(424\) 3.34924e6 1.08823e6i 0.904756 0.293973i
\(425\) 72226.8 + 52475.8i 0.0193966 + 0.0140925i
\(426\) 1.66785e6 2.46297e6i 0.445280 0.657560i
\(427\) −1.15602e6 + 3.55785e6i −0.306827 + 0.944317i
\(428\) 1.16529e6 0.307486
\(429\) 4.49235e6 + 2.57840e6i 1.17850 + 0.676404i
\(430\) −2.73859e6 −0.714258
\(431\) −836269. + 2.57377e6i −0.216847 + 0.667386i 0.782171 + 0.623064i \(0.214113\pi\)
−0.999017 + 0.0443213i \(0.985887\pi\)
\(432\) −286106. + 28485.6i −0.0737595 + 0.00734372i
\(433\) −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
\(435\) 1.84037e6 + 2.36447e6i 0.466319 + 0.599115i
\(436\) −83595.3 + 115059.i −0.0210603 + 0.0289871i
\(437\) 17149.5 12459.8i 0.00429583 0.00312110i
\(438\) −7253.19 219191.i −0.00180653 0.0545930i
\(439\) 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 \(0.0730310\pi\)
−0.0846244 + 0.996413i \(0.526969\pi\)
\(444\) 706117. 2.44564e6i 0.169988 0.588756i
\(445\) −521089. 1.60375e6i −0.124742 0.383915i
\(446\) 35703.2 + 109883.i 0.00849905 + 0.0261574i
\(447\) 410980. 1.42343e6i 0.0972863 0.336952i
\(448\) 2.84080e6 + 3.91003e6i 0.668722 + 0.920417i
\(449\) 1.91621e6 + 622614.i 0.448567 + 0.145748i 0.524585 0.851358i \(-0.324221\pi\)
−0.0760179 + 0.997106i \(0.524221\pi\)
\(450\) −69138.5 + 57584.7i −0.0160949 + 0.0134053i
\(451\) −2.39842e6 + 3.87595e6i −0.555245 + 0.897298i
\(452\) 3.15060e6i 0.725349i
\(453\) −239.342 7232.90i −5.47991e−5 0.00165603i
\(454\) 1.89084e6 1.37377e6i 0.430541 0.312806i
\(455\) −5.80970e6 + 7.99637e6i −1.31560 + 1.81077i
\(456\) 206992. + 265939.i 0.0466168 + 0.0598921i
\(457\) −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
\(459\) 3.31436e6 329988.i 0.734290 0.0731082i
\(460\) 59510.4 183154.i 0.0131129 0.0403573i
\(461\) 5.57175e6 1.22107 0.610533 0.791991i \(-0.290955\pi\)
0.610533 + 0.791991i \(0.290955\pi\)
\(462\) −1.96133e6 4.37513e6i −0.427509 0.953644i
\(463\) 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
\(465\) −5.02912e6 + 7.42666e6i −1.07860 + 1.59280i
\(466\) 2.67743e6 + 1.94526e6i 0.571153 + 0.414967i
\(467\) 1.89169e6 614646.i 0.401381 0.130417i −0.101368 0.994849i \(-0.532322\pi\)
0.502749 + 0.864432i \(0.332322\pi\)
\(468\) −2.00544e6 + 3.18342e6i −0.423249 + 0.671861i
\(469\) −2.70043e6 + 3.71683e6i −0.566893 + 0.780262i
\(470\) −1.61316e6 + 1.17203e6i −0.336846 + 0.244733i
\(471\) −5.35042e6 + 177049.i −1.11131 + 0.0367741i
\(472\) 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
\(477\) −305967. 4.61808e6i −0.0615713 0.929321i
\(478\) −984290. 3.02933e6i −0.197040 0.606425i
\(479\) −2.58505e6 7.95598e6i −0.514791 1.58436i −0.783662 0.621187i \(-0.786651\pi\)
0.268871 0.963176i \(-0.413349\pi\)
\(480\) 4.79798e6 + 1.38530e6i 0.950507 + 0.274435i
\(481\) 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
\(486\) −497554. + 3.31983e6i −0.0955541 + 0.637567i
\(487\) 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
\(489\) 1.36086e6 1.05922e6i 0.257360 0.200315i
\(490\) 5.39025e6 1.75140e6i 1.01419 0.329530i
\(491\) 2.92636e6 + 2.12612e6i 0.547802 + 0.398002i 0.826975 0.562239i \(-0.190060\pi\)
−0.279172 + 0.960241i \(0.590060\pi\)
\(492\) −2.74144e6 1.85642e6i −0.510582 0.345751i
\(493\) 919444. 2.82976e6i 0.170376 0.524363i
\(494\) −353052. −0.0650910
\(495\) −4.89281e6 2.59701e6i −0.897522 0.476388i
\(496\) −768854. −0.140327
\(497\) −3.39800e6 + 1.04580e7i −0.617067 + 1.89914i
\(498\) 614541. + 416150.i 0.111040 + 0.0751928i
\(499\) −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
\(501\) 1.78543e6 1.38968e6i 0.317796 0.247355i
\(502\) 1.79433e6 2.46968e6i 0.317792 0.437403i
\(503\) −698340. + 507374.i −0.123069 + 0.0894145i −0.647617 0.761966i \(-0.724234\pi\)
0.524548 + 0.851381i \(0.324234\pi\)
\(504\) 8.76780e6 3.50519e6i 1.53750 0.614660i
\(505\) 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 0.454641 0.890675i \(-0.349768\pi\)
−0.987574 + 0.157156i \(0.949768\pi\)
\(510\) 2.72798e6 + 787634.i 0.464425 + 0.134091i
\(511\) 250532. + 771057.i 0.0424434 + 0.130627i
\(512\) 271066. + 834256.i 0.0456983 + 0.140645i
\(513\) 405589. 177921.i 0.0680445 0.0298494i
\(514\) −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
\(519\) −1.14877e6 + 38013.8i −0.187204 + 0.00619473i
\(520\) −7.03523e6 + 5.11140e6i −1.14096 + 0.828955i
\(521\) 1.12962e6 1.55479e6i 0.182322 0.250945i −0.708067 0.706146i \(-0.750432\pi\)
0.890389 + 0.455201i \(0.150432\pi\)
\(522\) 2.53726e6 + 1.59839e6i 0.407558 + 0.256747i
\(523\) −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
\(525\) 186507. 275421.i 0.0295323 0.0436112i
\(526\) 1.61558e6 4.97226e6i 0.254604 0.783590i
\(527\) 8.90670e6 1.39698
\(528\) −50838.9 472107.i −0.00793617 0.0736981i
\(529\) 6.40347e6 0.994893
\(530\) 1.21922e6 3.75237e6i 0.188535 0.580250i
\(531\) −4.74926e6 1.20258e6i −0.730954 0.185088i
\(532\) −371743. 270087.i −0.0569461 0.0413738i
\(533\) 8.94374e6 2.90600e6i 1.36365 0.443075i
\(534\) −1.03660e6 1.33180e6i −0.157311 0.202109i
\(535\) 2.08055e6 2.86363e6i 0.314263 0.432546i
\(536\) −3.27008e6 + 2.37585e6i −0.491639 + 0.357197i
\(537\) −339582. 1.02621e7i −0.0508170 1.53569i
\(538\) 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
\(543\) −3.38729e6 + 1.17319e7i −0.493007 + 1.70753i
\(544\) −1.53246e6 4.71642e6i −0.222020 0.683306i
\(545\) 133496. + 410860.i 0.0192521 + 0.0592519i
\(546\) −2.74405e6 + 9.50402e6i −0.393922 + 1.36435i
\(547\) −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
\(552\) −17282.4 522273.i −0.00241411 0.0729541i
\(553\) −3.08182e6 + 2.23907e6i −0.428543 + 0.311355i
\(554\) 218098. 300186.i 0.0301910 0.0415543i
\(555\) −4.74928e6 6.10176e6i −0.654478 0.840858i
\(556\) −2.36821e6 + 769477.i −0.324887 + 0.105562i
\(557\) −9.74851e6 7.08271e6i −1.33137 0.967300i −0.999714 0.0239011i \(-0.992391\pi\)
−0.331660 0.943399i \(-0.607609\pi\)
\(558\) −2.20348e6 + 8.70202e6i −0.299587 + 1.18314i
\(559\) −3.38249e6 + 1.04102e7i −0.457833 + 1.40906i
\(560\) 906097. 0.122097
\(561\) 588936. + 5.46907e6i 0.0790062 + 0.733679i
\(562\) 3.83556e6 0.512258
\(563\) 1.90157e6 5.85243e6i 0.252837 0.778153i −0.741411 0.671051i \(-0.765843\pi\)
0.994248 0.107102i \(-0.0341570\pi\)
\(564\) 1.57329e6 2.32333e6i 0.208263 0.307548i
\(565\) 7.74238e6 + 5.62517e6i 1.02036 + 0.741335i
\(566\) −2.70591e6 + 879203.i −0.355036 + 0.115358i
\(567\) −1.63719e6 1.23012e7i −0.213866 1.60690i
\(568\) −5.68651e6 + 7.82681e6i −0.739563 + 1.01792i
\(569\) 3.13705e6 2.27920e6i 0.406201 0.295123i −0.365861 0.930670i \(-0.619225\pi\)
0.772062 + 0.635547i \(0.219225\pi\)
\(570\) 377357. 12487.0i 0.0486480 0.00160980i
\(571\) 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
\(576\) 5.57609e6 369439.i 0.700283 0.0463966i
\(577\) −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
\(579\) −6.46266e6 1.86593e6i −0.801152 0.231312i
\(580\) −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
\(585\) 4.24247e6 + 1.06120e7i 0.512542 + 1.28206i
\(586\) 6.15017e6 4.46836e6i 0.739849 0.537532i
\(587\) −2.93965e6 + 4.04609e6i −0.352128 + 0.484663i −0.947935 0.318465i \(-0.896833\pi\)
0.595806 + 0.803128i \(0.296833\pi\)
\(588\) −6.29374e6 + 4.89871e6i −0.750698 + 0.584303i
\(589\) 1.12638e6 365983.i 0.133782 0.0434683i
\(590\) −3.37882e6 2.45486e6i −0.399609 0.290333i
\(591\) 6.98288e6 + 4.72861e6i 0.822367 + 0.556884i
\(592\) 204821. 630374.i 0.0240198 0.0739255i
\(593\) −1.18116e7 −1.37935 −0.689673 0.724121i \(-0.742246\pi\)
−0.689673 + 0.724121i \(0.742246\pi\)
\(594\) −5.48909e6 777622.i −0.638314 0.0904279i
\(595\) −1.04966e7 −1.21550
\(596\) −549220. + 1.69033e6i −0.0633331 + 0.194919i
\(597\) 1.11766e7 + 7.56845e6i 1.28343 + 0.869103i
\(598\) 442895. + 321782.i 0.0506463 + 0.0367967i
\(599\) 1.23504e7 4.01288e6i 1.40641 0.456971i 0.495154 0.868806i \(-0.335112\pi\)
0.911259 + 0.411834i \(0.135112\pi\)
\(600\) 230938. 179750.i 0.0261889 0.0203840i
\(601\) 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
\(603\) 1.97196e6 + 4.93262e6i 0.220854 + 0.552439i
\(604\) 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
\(609\) −1.06506e7 3.07509e6i −1.16367 0.335981i
\(610\) 1.13949e6 + 3.50698e6i 0.123989 + 0.381600i
\(611\) 2.46280e6 + 7.57971e6i 0.266886 + 0.821390i
\(612\) −3.98686e6 + 264146.i −0.430281 + 0.0285079i
\(613\) −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 \(-0.900511\pi\)
0.951552 0.307489i \(-0.0994887\pi\)
\(618\) −3.45679e6 + 114388.i −0.364084 + 0.0120478i
\(619\) −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
\(621\) −670965. 146468.i −0.0698185 0.0152410i
\(622\) −9.72157e6 + 3.15873e6i −1.00754 + 0.327368i
\(623\) 5.04738e6 + 3.66714e6i 0.521010 + 0.378536i
\(624\) −549312. + 811186.i −0.0564751 + 0.0833986i
\(625\) −3.11261e6 + 9.57962e6i −0.318731 + 0.980953i
\(626\) −5.49590e6 −0.560535
\(627\) 299208. + 667443.i 0.0303952 + 0.0678025i
\(628\) 6.42194e6 0.649781
\(629\) −2.37272e6 + 7.30249e6i −0.239122 + 0.735943i
\(630\) 2.59681e6 1.02554e7i 0.260668 1.02944i
\(631\) 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
\(633\) 3.91806e6 + 5.03382e6i 0.388652 + 0.499331i
\(634\) 861622. 1.18592e6i 0.0851322 0.117174i
\(635\) 4.90283e6 3.56211e6i 0.482517 0.350569i
\(636\) 183621. + 5.54902e6i 0.0180003 + 0.543968i
\(637\) 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 0.995810 0.0914439i \(-0.0291482\pi\)
−0.394691 + 0.918814i \(0.629148\pi\)
\(642\) 982686. 3.40354e6i 0.0940973 0.325907i
\(643\) 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
\(645\) 3.24715e6 1.12465e7i 0.307329 1.06443i
\(646\) −220379. 303325.i −0.0207773 0.0285974i
\(647\) 4.53009e6 + 1.47191e6i 0.425447 + 0.138236i 0.513912 0.857843i \(-0.328196\pi\)
−0.0884642 + 0.996079i \(0.528196\pi\)
\(648\) 1.97447e6 1.07380e7i 0.184719 1.00459i
\(649\) 1.92296e6 7.85906e6i 0.179209 0.732418i
\(650\) 306586.i 0.0284622i
\(651\) −1.09750e6 3.31663e7i −0.101497 3.06722i
\(652\) −1.67363e6 + 1.21597e6i −0.154185 + 0.112022i
\(653\) 7.62786e6 1.04989e7i 0.700035 0.963516i −0.299919 0.953965i \(-0.596960\pi\)
0.999954 0.00955129i \(-0.00304032\pi\)
\(654\) 265565. + 341191.i 0.0242787 + 0.0311927i
\(655\) 1.94810e7 6.32976e6i 1.77422 0.576480i
\(656\) −697446. 506724.i −0.0632777 0.0459740i
\(657\) 908750. + 230109.i 0.0821355 + 0.0207979i
\(658\) 2.27971e6 7.01623e6i 0.205265 0.631741i
\(659\) −8.38698e6 −0.752302 −0.376151 0.926558i \(-0.622753\pi\)
−0.376151 + 0.926558i \(0.622753\pi\)
\(660\) 5.76322e6 + 3.30782e6i 0.514998 + 0.295585i
\(661\) 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
\(663\) 6.36343e6 9.39708e6i 0.562222 0.830250i
\(664\) −1.95288e6 1.41885e6i −0.171892 0.124887i
\(665\) −1.32744e6 + 431312.i −0.116402 + 0.0378214i
\(666\) −6.54768e6 4.12480e6i −0.572008 0.360344i
\(667\) −360602. + 496326.i −0.0313844 + 0.0431969i
\(668\) −2.19579e6 + 1.59533e6i −0.190392 + 0.138328i
\(669\) −493590. + 16333.3i −0.0426384 + 0.00141094i
\(670\) 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
\(675\) −154505. 352209.i −0.0130522 0.0297537i
\(676\) 1.81599e6 + 5.58903e6i 0.152843 + 0.470402i
\(677\) 6.39032e6 + 1.96674e7i 0.535860 + 1.64921i 0.741784 + 0.670639i \(0.233980\pi\)
−0.205924 + 0.978568i \(0.566020\pi\)
\(678\) 9.20216e6 + 2.65689e6i 0.768803 + 0.221972i
\(679\) −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 \(0.0923625\pi\)
−0.958197 + 0.286111i \(0.907638\pi\)
\(684\) −493343. + 197228.i −0.0403189 + 0.0161187i
\(685\) 596524. 433400.i 0.0485738 0.0352909i
\(686\) −4.75391e6 + 6.54320e6i −0.385692 + 0.530860i
\(687\) 1.57746e6 1.22781e6i 0.127517 0.0992522i
\(688\) 954333. 310082.i 0.0768650 0.0249750i
\(689\) −1.27580e7 9.26926e6i −1.02385 0.743870i
\(690\) −484766. 328269.i −0.0387623 0.0262487i
\(691\) 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
\(693\) 2.02929e7 2.86696e6i 1.60513 0.226772i
\(694\) 4.31280e6 0.339907
\(695\) −2.33733e6 + 7.19356e6i −0.183551 + 0.564913i
\(696\) −8.07579e6 5.46869e6i −0.631919 0.427918i
\(697\) 8.07947e6 + 5.87008e6i 0.629943 + 0.457680i
\(698\) −3.60306e6 + 1.17071e6i −0.279920 + 0.0909514i
\(699\) −1.11632e7 + 8.68886e6i −0.864166 + 0.672620i
\(700\) −234541. + 322818.i −0.0180914 + 0.0249007i
\(701\) −1.16140e7 + 8.43806e6i −0.892661 + 0.648556i −0.936570 0.350480i \(-0.886019\pi\)
0.0439098 + 0.999036i \(0.486019\pi\)
\(702\) 7.60685e6 + 8.54200e6i 0.582589 + 0.654209i
\(703\) 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
\(708\) 5.64645e6 + 1.63027e6i 0.423343 + 0.122229i
\(709\) 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
\(711\) 291186. + 4.39499e6i 0.0216021 + 0.326050i
\(712\) 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
\(717\) 1.36076e7 450286.i 0.988517 0.0327108i
\(718\) −1.12824e6 + 819712.i −0.0816750 + 0.0593404i
\(719\) 1.28630e7 1.77044e7i 0.927939 1.27720i −0.0327192 0.999465i \(-0.510417\pi\)
0.960658 0.277734i \(-0.0895833\pi\)
\(720\) 558437. 886458.i 0.0401461 0.0637275i
\(721\) 1.21601e7 3.95106e6i 0.871162 0.283058i
\(722\) 7.26516e6 + 5.27845e6i 0.518684 + 0.376846i
\(723\) 7.97650e6 1.17792e7i 0.567501 0.838047i
\(724\) 4.52667e6 1.39317e7i 0.320946 0.987771i
\(725\) −343573. −0.0242758
\(726\) 1.21135e6 9.07520e6i 0.0852959 0.639020i
\(727\) −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
\(729\) −1.30436e7 5.97964e6i −0.909030 0.416731i
\(730\) 646521. + 469725.i 0.0449030 + 0.0326240i
\(731\) −1.10553e7 + 3.59210e6i −0.765207 + 0.248631i
\(732\) −3.18717e6 4.09480e6i −0.219850 0.282458i
\(733\) −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
\(735\) 801218. + 2.42127e7i 0.0547057 + 1.65320i
\(736\) 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
\(741\) 418615. 1.44988e6i 0.0280071 0.0970030i
\(742\) 4.51087e6 + 1.38830e7i 0.300781 + 0.925709i
\(743\) −4.13298e6 1.27200e7i −0.274657 0.845308i −0.989310 0.145829i \(-0.953415\pi\)
0.714653 0.699479i \(-0.246585\pi\)
\(744\) 8.09874e6 2.80501e7i 0.536396 1.85781i
\(745\) 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
\(750\) 322901. + 9.75805e6i 0.0209612 + 0.633446i
\(751\) −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
\(753\) 8.01467e6 + 1.02971e7i 0.515108 + 0.661798i
\(754\) 9.71765e6 3.15746e6i 0.622491 0.202260i
\(755\) 21334.0 + 15500.1i 0.00136209 + 0.000989615i
\(756\) 1.47488e6 + 1.48135e7i 0.0938539 + 0.942658i
\(757\) 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
\(759\) 232978. 1.11000e6i 0.0146795 0.0699387i
\(760\) −1.22799e6 −0.0771190
\(761\) −3.09898e6 + 9.53767e6i −0.193980 + 0.597009i 0.806007 + 0.591906i \(0.201624\pi\)
−0.999987 + 0.00510296i \(0.998376\pi\)
\(762\) 3.40083e6 5.02211e6i 0.212176 0.313327i
\(763\) −1.29308e6 939475.i −0.0804105 0.0584216i
\(764\) 1.48696e7 4.83143e6i 0.921651 0.299463i
\(765\) −6.46914e6 + 1.02691e7i −0.399662 + 0.634420i
\(766\) −1.14085e7 + 1.57024e7i −0.702516 + 0.966931i
\(767\) −1.35049e7 + 9.81191e6i −0.828903 + 0.602234i
\(768\) −1.69546e7 + 561042.i −1.03725 + 0.0343235i
\(769\)