Properties

Label 33.6.f.a.2.16
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 2.16
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.16

$q$-expansion

\(f(q)\) \(=\) \(q+(2.81967 - 8.67805i) q^{2} +(-4.23991 - 15.0008i) q^{3} +(-41.4695 - 30.1293i) q^{4} +(53.2208 - 17.2925i) q^{5} +(-142.133 - 5.50305i) q^{6} +(-14.1075 + 19.4173i) q^{7} +(-142.170 + 103.293i) q^{8} +(-207.046 + 127.204i) q^{9} +O(q^{10})\) \(q+(2.81967 - 8.67805i) q^{2} +(-4.23991 - 15.0008i) q^{3} +(-41.4695 - 30.1293i) q^{4} +(53.2208 - 17.2925i) q^{5} +(-142.133 - 5.50305i) q^{6} +(-14.1075 + 19.4173i) q^{7} +(-142.170 + 103.293i) q^{8} +(-207.046 + 127.204i) q^{9} -510.612i q^{10} +(240.584 + 321.202i) q^{11} +(-276.136 + 749.820i) q^{12} +(323.676 + 105.169i) q^{13} +(128.725 + 177.175i) q^{14} +(-485.052 - 725.035i) q^{15} +(-11.3712 - 34.9969i) q^{16} +(-463.558 - 1426.69i) q^{17} +(520.080 + 2155.43i) q^{18} +(167.174 + 230.095i) q^{19} +(-2728.05 - 886.397i) q^{20} +(351.088 + 129.295i) q^{21} +(3465.77 - 1182.12i) q^{22} -4346.85i q^{23} +(2152.26 + 1694.71i) q^{24} +(5.24910 - 3.81369i) q^{25} +(1825.32 - 2512.33i) q^{26} +(2786.01 + 2566.52i) q^{27} +(1170.06 - 380.175i) q^{28} +(6126.66 + 4451.28i) q^{29} +(-7659.58 + 2164.95i) q^{30} +(-937.995 + 2886.85i) q^{31} -5959.20 q^{32} +(3798.22 - 4970.81i) q^{33} -13687.9 q^{34} +(-415.038 + 1277.36i) q^{35} +(12418.7 + 963.089i) q^{36} +(10155.5 + 7378.41i) q^{37} +(2468.16 - 801.952i) q^{38} +(205.254 - 5301.29i) q^{39} +(-5780.23 + 7955.81i) q^{40} +(-7654.67 + 5561.45i) q^{41} +(2111.98 - 2682.19i) q^{42} -8566.64i q^{43} +(-299.294 - 20568.7i) q^{44} +(-8819.50 + 10350.2i) q^{45} +(-37722.2 - 12256.7i) q^{46} +(-7903.45 - 10878.2i) q^{47} +(-476.768 + 318.960i) q^{48} +(5015.64 + 15436.6i) q^{49} +(-18.2947 - 56.3053i) q^{50} +(-19435.9 + 13002.7i) q^{51} +(-10254.0 - 14113.4i) q^{52} +(13026.0 + 4232.41i) q^{53} +(30128.0 - 16940.4i) q^{54} +(18358.4 + 12934.3i) q^{55} -4217.75i q^{56} +(2742.81 - 3483.33i) q^{57} +(55903.6 - 40616.3i) q^{58} +(-24197.6 + 33305.1i) q^{59} +(-1729.95 + 44681.1i) q^{60} +(43532.0 - 14144.4i) q^{61} +(22407.4 + 16279.9i) q^{62} +(450.947 - 5814.79i) q^{63} +(-16439.1 + 50594.3i) q^{64} +19044.9 q^{65} +(-32427.2 - 46977.2i) q^{66} +2238.85 q^{67} +(-23761.6 + 73130.6i) q^{68} +(-65206.1 + 18430.3i) q^{69} +(9914.69 + 7203.44i) q^{70} +(8804.09 - 2860.62i) q^{71} +(16296.6 - 39471.0i) q^{72} +(20981.1 - 28878.0i) q^{73} +(92665.3 - 67325.3i) q^{74} +(-79.4641 - 62.5708i) q^{75} -14578.8i q^{76} +(-9630.88 + 140.139i) q^{77} +(-45426.1 - 16729.1i) q^{78} +(-35085.2 - 11399.9i) q^{79} +(-1210.37 - 1665.93i) q^{80} +(26687.3 - 52674.2i) q^{81} +(26678.9 + 82109.1i) q^{82} +(-2008.17 - 6180.50i) q^{83} +(-10663.9 - 15939.9i) q^{84} +(-49341.9 - 67913.3i) q^{85} +(-74341.8 - 24155.1i) q^{86} +(40796.1 - 110778. i) q^{87} +(-67381.6 - 20814.7i) q^{88} +4564.54i q^{89} +(64951.9 + 105720. i) q^{90} +(-6608.32 + 4801.23i) q^{91} +(-130968. + 180261. i) q^{92} +(47282.0 + 1830.65i) q^{93} +(-116686. + 37913.7i) q^{94} +(12876.1 + 9355.01i) q^{95} +(25266.5 + 89392.5i) q^{96} +(-25591.8 + 78763.4i) q^{97} +148102. q^{98} +(-90670.1 - 35900.4i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.81967 8.67805i 0.498452 1.53408i −0.313056 0.949735i \(-0.601353\pi\)
0.811507 0.584342i \(-0.198647\pi\)
\(3\) −4.23991 15.0008i −0.271990 0.962300i
\(4\) −41.4695 30.1293i −1.29592 0.941541i
\(5\) 53.2208 17.2925i 0.952043 0.309338i 0.208498 0.978023i \(-0.433143\pi\)
0.743546 + 0.668685i \(0.233143\pi\)
\(6\) −142.133 5.50305i −1.61182 0.0624059i
\(7\) −14.1075 + 19.4173i −0.108819 + 0.149776i −0.859953 0.510374i \(-0.829507\pi\)
0.751134 + 0.660150i \(0.229507\pi\)
\(8\) −142.170 + 103.293i −0.785387 + 0.570617i
\(9\) −207.046 + 127.204i −0.852042 + 0.523473i
\(10\) 510.612i 1.61470i
\(11\) 240.584 + 321.202i 0.599494 + 0.800379i
\(12\) −276.136 + 749.820i −0.553567 + 1.50315i
\(13\) 323.676 + 105.169i 0.531192 + 0.172595i 0.562319 0.826921i \(-0.309909\pi\)
−0.0311266 + 0.999515i \(0.509909\pi\)
\(14\) 128.725 + 177.175i 0.175527 + 0.241592i
\(15\) −485.052 725.035i −0.556622 0.832014i
\(16\) −11.3712 34.9969i −0.0111047 0.0341767i
\(17\) −463.558 1426.69i −0.389029 1.19731i −0.933515 0.358538i \(-0.883275\pi\)
0.544486 0.838770i \(-0.316725\pi\)
\(18\) 520.080 + 2155.43i 0.378345 + 1.56802i
\(19\) 167.174 + 230.095i 0.106239 + 0.146226i 0.858826 0.512267i \(-0.171194\pi\)
−0.752587 + 0.658493i \(0.771194\pi\)
\(20\) −2728.05 886.397i −1.52503 0.495511i
\(21\) 351.088 + 129.295i 0.173727 + 0.0639786i
\(22\) 3465.77 1182.12i 1.52666 0.520719i
\(23\) 4346.85i 1.71338i −0.515828 0.856692i \(-0.672516\pi\)
0.515828 0.856692i \(-0.327484\pi\)
\(24\) 2152.26 + 1694.71i 0.762723 + 0.600576i
\(25\) 5.24910 3.81369i 0.00167971 0.00122038i
\(26\) 1825.32 2512.33i 0.529547 0.728859i
\(27\) 2786.01 + 2566.52i 0.735485 + 0.677541i
\(28\) 1170.06 380.175i 0.282041 0.0916406i
\(29\) 6126.66 + 4451.28i 1.35278 + 0.982856i 0.998867 + 0.0475790i \(0.0151506\pi\)
0.353917 + 0.935277i \(0.384849\pi\)
\(30\) −7659.58 + 2164.95i −1.55382 + 0.439182i
\(31\) −937.995 + 2886.85i −0.175306 + 0.539536i −0.999647 0.0265569i \(-0.991546\pi\)
0.824341 + 0.566093i \(0.191546\pi\)
\(32\) −5959.20 −1.02876
\(33\) 3798.22 4970.81i 0.607149 0.794588i
\(34\) −13687.9 −2.03067
\(35\) −415.038 + 1277.36i −0.0572688 + 0.176255i
\(36\) 12418.7 + 963.089i 1.59705 + 0.123854i
\(37\) 10155.5 + 7378.41i 1.21954 + 0.886050i 0.996062 0.0886584i \(-0.0282579\pi\)
0.223481 + 0.974708i \(0.428258\pi\)
\(38\) 2468.16 801.952i 0.277277 0.0900927i
\(39\) 205.254 5301.29i 0.0216088 0.558110i
\(40\) −5780.23 + 7955.81i −0.571209 + 0.786202i
\(41\) −7654.67 + 5561.45i −0.711159 + 0.516688i −0.883548 0.468342i \(-0.844852\pi\)
0.172388 + 0.985029i \(0.444852\pi\)
\(42\) 2111.98 2682.19i 0.184743 0.234621i
\(43\) 8566.64i 0.706545i −0.935521 0.353272i \(-0.885069\pi\)
0.935521 0.353272i \(-0.114931\pi\)
\(44\) −299.294 20568.7i −0.0233059 1.60168i
\(45\) −8819.50 + 10350.2i −0.649251 + 0.761938i
\(46\) −37722.2 12256.7i −2.62846 0.854040i
\(47\) −7903.45 10878.2i −0.521882 0.718309i 0.463984 0.885843i \(-0.346419\pi\)
−0.985866 + 0.167535i \(0.946419\pi\)
\(48\) −476.768 + 318.960i −0.0298678 + 0.0199818i
\(49\) 5015.64 + 15436.6i 0.298426 + 0.918460i
\(50\) −18.2947 56.3053i −0.00103490 0.00318511i
\(51\) −19435.9 + 13002.7i −1.04636 + 0.700019i
\(52\) −10254.0 14113.4i −0.525877 0.723808i
\(53\) 13026.0 + 4232.41i 0.636975 + 0.206966i 0.609662 0.792661i \(-0.291305\pi\)
0.0273127 + 0.999627i \(0.491305\pi\)
\(54\) 30128.0 16940.4i 1.40600 0.790569i
\(55\) 18358.4 + 12934.3i 0.818332 + 0.576550i
\(56\) 4217.75i 0.179726i
\(57\) 2742.81 3483.33i 0.111817 0.142006i
\(58\) 55903.6 40616.3i 2.18207 1.58537i
\(59\) −24197.6 + 33305.1i −0.904985 + 1.24561i 0.0638654 + 0.997959i \(0.479657\pi\)
−0.968850 + 0.247647i \(0.920343\pi\)
\(60\) −1729.95 + 44681.1i −0.0620377 + 1.60231i
\(61\) 43532.0 14144.4i 1.49790 0.486699i 0.558498 0.829506i \(-0.311378\pi\)
0.939406 + 0.342807i \(0.111378\pi\)
\(62\) 22407.4 + 16279.9i 0.740308 + 0.537865i
\(63\) 450.947 5814.79i 0.0143144 0.184579i
\(64\) −16439.1 + 50594.3i −0.501681 + 1.54402i
\(65\) 19044.9 0.559108
\(66\) −32427.2 46977.2i −0.916325 1.32748i
\(67\) 2238.85 0.0609308 0.0304654 0.999536i \(-0.490301\pi\)
0.0304654 + 0.999536i \(0.490301\pi\)
\(68\) −23761.6 + 73130.6i −0.623164 + 1.91790i
\(69\) −65206.1 + 18430.3i −1.64879 + 0.466024i
\(70\) 9914.69 + 7203.44i 0.241843 + 0.175709i
\(71\) 8804.09 2860.62i 0.207271 0.0673464i −0.203541 0.979066i \(-0.565245\pi\)
0.410812 + 0.911720i \(0.365245\pi\)
\(72\) 16296.6 39471.0i 0.370481 0.897319i
\(73\) 20981.1 28878.0i 0.460809 0.634250i −0.513867 0.857870i \(-0.671788\pi\)
0.974676 + 0.223620i \(0.0717875\pi\)
\(74\) 92665.3 67325.3i 1.96715 1.42922i
\(75\) −79.4641 62.5708i −0.00163124 0.00128445i
\(76\) 14578.8i 0.289526i
\(77\) −9630.88 + 140.139i −0.185114 + 0.00269359i
\(78\) −45426.1 16729.1i −0.845413 0.311340i
\(79\) −35085.2 11399.9i −0.632493 0.205509i −0.0248139 0.999692i \(-0.507899\pi\)
−0.607679 + 0.794183i \(0.707899\pi\)
\(80\) −1210.37 1665.93i −0.0211443 0.0291026i
\(81\) 26687.3 52674.2i 0.451953 0.892042i
\(82\) 26678.9 + 82109.1i 0.438160 + 1.34852i
\(83\) −2008.17 6180.50i −0.0319966 0.0984756i 0.933783 0.357840i \(-0.116487\pi\)
−0.965779 + 0.259365i \(0.916487\pi\)
\(84\) −10663.9 15939.9i −0.164898 0.246483i
\(85\) −49341.9 67913.3i −0.740745 1.01955i
\(86\) −74341.8 24155.1i −1.08389 0.352178i
\(87\) 40796.1 110778.i 0.577857 1.56911i
\(88\) −67381.6 20814.7i −0.927545 0.286526i
\(89\) 4564.54i 0.0610833i 0.999533 + 0.0305416i \(0.00972322\pi\)
−0.999533 + 0.0305416i \(0.990277\pi\)
\(90\) 64951.9 + 105720.i 0.845250 + 1.37579i
\(91\) −6608.32 + 4801.23i −0.0836542 + 0.0607783i
\(92\) −130968. + 180261.i −1.61322 + 2.22041i
\(93\) 47282.0 + 1830.65i 0.566877 + 0.0219482i
\(94\) −116686. + 37913.7i −1.36207 + 0.442565i
\(95\) 12876.1 + 9355.01i 0.146378 + 0.106349i
\(96\) 25266.5 + 89392.5i 0.279812 + 0.989973i
\(97\) −25591.8 + 78763.4i −0.276167 + 0.849954i 0.712742 + 0.701427i \(0.247453\pi\)
−0.988908 + 0.148527i \(0.952547\pi\)
\(98\) 148102. 1.55774
\(99\) −90670.1 35900.4i −0.929771 0.368139i
\(100\) −332.581 −0.00332581
\(101\) 15786.9 48587.1i 0.153990 0.473934i −0.844067 0.536238i \(-0.819845\pi\)
0.998057 + 0.0623042i \(0.0198449\pi\)
\(102\) 58035.6 + 205329.i 0.552324 + 1.95412i
\(103\) −12235.5 8889.61i −0.113639 0.0825638i 0.529514 0.848301i \(-0.322374\pi\)
−0.643153 + 0.765737i \(0.722374\pi\)
\(104\) −56880.2 + 18481.5i −0.515677 + 0.167554i
\(105\) 20921.0 + 810.016i 0.185187 + 0.00717002i
\(106\) 73458.2 101107.i 0.635003 0.874006i
\(107\) −115616. + 84000.2i −0.976248 + 0.709286i −0.956867 0.290527i \(-0.906170\pi\)
−0.0193809 + 0.999812i \(0.506170\pi\)
\(108\) −38207.0 190373.i −0.315198 1.57053i
\(109\) 92825.3i 0.748342i 0.927360 + 0.374171i \(0.122073\pi\)
−0.927360 + 0.374171i \(0.877927\pi\)
\(110\) 164009. 122845.i 1.29237 0.968001i
\(111\) 67623.3 183624.i 0.520942 1.41456i
\(112\) 839.962 + 272.920i 0.00632725 + 0.00205585i
\(113\) 82095.3 + 112995.i 0.604815 + 0.832456i 0.996138 0.0877970i \(-0.0279827\pi\)
−0.391324 + 0.920253i \(0.627983\pi\)
\(114\) −22494.7 33624.0i −0.162113 0.242319i
\(115\) −75167.9 231343.i −0.530014 1.63122i
\(116\) −119955. 369184.i −0.827702 2.54741i
\(117\) −80393.7 + 19398.0i −0.542947 + 0.131006i
\(118\) 220794. + 303897.i 1.45976 + 2.00919i
\(119\) 34241.9 + 11125.9i 0.221662 + 0.0720223i
\(120\) 143851. + 52976.0i 0.911926 + 0.335835i
\(121\) −45289.9 + 154552.i −0.281214 + 0.959645i
\(122\) 417655.i 2.54050i
\(123\) 115881. + 91246.0i 0.690637 + 0.543815i
\(124\) 125877. 91455.1i 0.735178 0.534138i
\(125\) −102575. + 141182.i −0.587173 + 0.808175i
\(126\) −49189.5 20309.1i −0.276024 0.113963i
\(127\) −89347.3 + 29030.7i −0.491555 + 0.159716i −0.544298 0.838892i \(-0.683204\pi\)
0.0527425 + 0.998608i \(0.483204\pi\)
\(128\) 238432. + 173231.i 1.28629 + 0.934546i
\(129\) −128506. + 36321.8i −0.679908 + 0.192173i
\(130\) 53700.3 165273.i 0.278688 0.857714i
\(131\) −78936.4 −0.401883 −0.200941 0.979603i \(-0.564400\pi\)
−0.200941 + 0.979603i \(0.564400\pi\)
\(132\) −307277. + 91699.0i −1.53495 + 0.458068i
\(133\) −6826.22 −0.0334620
\(134\) 6312.80 19428.8i 0.0303711 0.0934726i
\(135\) 192656. + 88415.3i 0.909803 + 0.417535i
\(136\) 213270. + 154950.i 0.988743 + 0.718364i
\(137\) −240576. + 78167.8i −1.09509 + 0.355817i −0.800212 0.599718i \(-0.795280\pi\)
−0.294880 + 0.955534i \(0.595280\pi\)
\(138\) −23920.9 + 617829.i −0.106925 + 2.76166i
\(139\) 164581. 226526.i 0.722507 0.994445i −0.276930 0.960890i \(-0.589317\pi\)
0.999437 0.0335552i \(-0.0106830\pi\)
\(140\) 55697.3 40466.4i 0.240167 0.174492i
\(141\) −129671. + 164680.i −0.549282 + 0.697580i
\(142\) 84468.3i 0.351538i
\(143\) 44090.8 + 129267.i 0.180305 + 0.528625i
\(144\) 6806.10 + 5799.52i 0.0273522 + 0.0233070i
\(145\) 403040. + 130956.i 1.59194 + 0.517254i
\(146\) −191445. 263502.i −0.743296 1.02306i
\(147\) 210294. 140688.i 0.802665 0.536987i
\(148\) −198837. 611957.i −0.746178 2.29650i
\(149\) −65989.8 203096.i −0.243507 0.749437i −0.995878 0.0906982i \(-0.971090\pi\)
0.752372 0.658739i \(-0.228910\pi\)
\(150\) −767.055 + 513.164i −0.00278355 + 0.00186221i
\(151\) −182823. 251634.i −0.652511 0.898105i 0.346693 0.937979i \(-0.387304\pi\)
−0.999205 + 0.0398737i \(0.987304\pi\)
\(152\) −47534.4 15444.9i −0.166878 0.0542219i
\(153\) 277458. + 236424.i 0.958227 + 0.816511i
\(154\) −25939.8 + 83972.4i −0.0881382 + 0.285322i
\(155\) 169861.i 0.567890i
\(156\) −168236. + 213657.i −0.553487 + 0.702921i
\(157\) −333242. + 242115.i −1.07897 + 0.783920i −0.977504 0.210918i \(-0.932355\pi\)
−0.101470 + 0.994839i \(0.532355\pi\)
\(158\) −197857. + 272327.i −0.630535 + 0.867856i
\(159\) 8260.26 213346.i 0.0259120 0.669254i
\(160\) −317153. + 103049.i −0.979421 + 0.318233i
\(161\) 84403.8 + 61323.0i 0.256624 + 0.186448i
\(162\) −381860. 380118.i −1.14318 1.13797i
\(163\) −100275. + 308614.i −0.295612 + 0.909801i 0.687403 + 0.726277i \(0.258751\pi\)
−0.983015 + 0.183525i \(0.941249\pi\)
\(164\) 484998. 1.40809
\(165\) 116187. 330231.i 0.332236 0.944296i
\(166\) −59297.1 −0.167018
\(167\) 68030.5 209376.i 0.188761 0.580947i −0.811232 0.584725i \(-0.801203\pi\)
0.999993 + 0.00377790i \(0.00120254\pi\)
\(168\) −63269.6 + 17882.9i −0.172950 + 0.0488838i
\(169\) −206677. 150160.i −0.556641 0.404423i
\(170\) −728483. + 236698.i −1.93329 + 0.628164i
\(171\) −63881.8 26375.2i −0.167066 0.0689772i
\(172\) −258107. + 355254.i −0.665241 + 0.915626i
\(173\) 617313. 448504.i 1.56816 1.13933i 0.639265 0.768987i \(-0.279239\pi\)
0.928893 0.370347i \(-0.120761\pi\)
\(174\) −846302. 666387.i −2.11910 1.66860i
\(175\) 155.725i 0.000384381i
\(176\) 8505.34 12072.1i 0.0206971 0.0293767i
\(177\) 602197. + 221771.i 1.44479 + 0.532074i
\(178\) 39611.3 + 12870.5i 0.0937065 + 0.0304471i
\(179\) −46789.9 64400.7i −0.109149 0.150231i 0.750948 0.660361i \(-0.229597\pi\)
−0.860097 + 0.510131i \(0.829597\pi\)
\(180\) 677586. 163493.i 1.55877 0.376113i
\(181\) 148359. + 456602.i 0.336602 + 1.03596i 0.965927 + 0.258814i \(0.0833315\pi\)
−0.629325 + 0.777142i \(0.716668\pi\)
\(182\) 23032.0 + 70885.2i 0.0515411 + 0.158627i
\(183\) −396749. 593043.i −0.875766 1.30906i
\(184\) 448998. + 617993.i 0.977687 + 1.34567i
\(185\) 668075. + 217071.i 1.43515 + 0.466307i
\(186\) 149206. 405154.i 0.316231 0.858693i
\(187\) 346729. 492133.i 0.725080 1.02915i
\(188\) 689237.i 1.42224i
\(189\) −89138.4 + 17889.7i −0.181514 + 0.0364290i
\(190\) 117490. 85361.1i 0.236110 0.171544i
\(191\) −287345. + 395496.i −0.569927 + 0.784438i −0.992546 0.121870i \(-0.961111\pi\)
0.422619 + 0.906308i \(0.361111\pi\)
\(192\) 828654. + 32083.6i 1.62226 + 0.0628102i
\(193\) −142925. + 46439.1i −0.276194 + 0.0897409i −0.443839 0.896107i \(-0.646384\pi\)
0.167645 + 0.985847i \(0.446384\pi\)
\(194\) 611353. + 444174.i 1.16624 + 0.847322i
\(195\) −80748.7 285688.i −0.152072 0.538029i
\(196\) 257097. 791263.i 0.478032 1.47123i
\(197\) −419078. −0.769360 −0.384680 0.923050i \(-0.625688\pi\)
−0.384680 + 0.923050i \(0.625688\pi\)
\(198\) −567205. + 685612.i −1.02820 + 1.24284i
\(199\) −475363. −0.850928 −0.425464 0.904975i \(-0.639889\pi\)
−0.425464 + 0.904975i \(0.639889\pi\)
\(200\) −352.339 + 1084.39i −0.000622853 + 0.00191694i
\(201\) −9492.51 33584.4i −0.0165726 0.0586338i
\(202\) −377128. 273999.i −0.650294 0.472466i
\(203\) −172863. + 56166.7i −0.294417 + 0.0956618i
\(204\) 1.19776e6 + 46374.6i 2.01509 + 0.0780198i
\(205\) −311217. + 428353.i −0.517224 + 0.711897i
\(206\) −111644. + 81114.5i −0.183303 + 0.133177i
\(207\) 552936. + 899999.i 0.896910 + 1.45988i
\(208\) 12523.5i 0.0200710i
\(209\) −33687.6 + 109054.i −0.0533463 + 0.172693i
\(210\) 66019.8 179270.i 0.103306 0.280517i
\(211\) 929029. + 301860.i 1.43656 + 0.466766i 0.920822 0.389982i \(-0.127519\pi\)
0.515735 + 0.856748i \(0.327519\pi\)
\(212\) −412663. 567982.i −0.630602 0.867950i
\(213\) −80240.1 119939.i −0.121183 0.181139i
\(214\) 402958. + 1.24018e6i 0.601486 + 1.85118i
\(215\) −148139. 455924.i −0.218561 0.672661i
\(216\) −661191. 77107.9i −0.964257 0.112451i
\(217\) −42822.0 58939.5i −0.0617331 0.0849683i
\(218\) 805542. + 261737.i 1.14801 + 0.373012i
\(219\) −522151. 192293.i −0.735674 0.270927i
\(220\) −371613. 1.08951e6i −0.517647 1.51766i
\(221\) 510535.i 0.703145i
\(222\) −1.40282e6 1.10460e6i −1.91038 1.50426i
\(223\) 526712. 382679.i 0.709269 0.515314i −0.173669 0.984804i \(-0.555562\pi\)
0.882938 + 0.469490i \(0.155562\pi\)
\(224\) 84069.1 115711.i 0.111948 0.154083i
\(225\) −601.690 + 1457.32i −0.000792349 + 0.00191910i
\(226\) 1.21205e6 393820.i 1.57852 0.512893i
\(227\) −88901.1 64590.4i −0.114510 0.0831962i 0.529057 0.848587i \(-0.322546\pi\)
−0.643566 + 0.765390i \(0.722546\pi\)
\(228\) −218693. + 61812.7i −0.278611 + 0.0787482i
\(229\) −156574. + 481884.i −0.197301 + 0.607231i 0.802641 + 0.596463i \(0.203428\pi\)
−0.999942 + 0.0107680i \(0.996572\pi\)
\(230\) −2.21955e6 −2.76660
\(231\) 42936.3 + 143876.i 0.0529413 + 0.177402i
\(232\) −1.33081e6 −1.62329
\(233\) 65613.6 201938.i 0.0791779 0.243685i −0.903630 0.428313i \(-0.859108\pi\)
0.982808 + 0.184628i \(0.0591081\pi\)
\(234\) −58346.5 + 752356.i −0.0696587 + 0.898222i
\(235\) −608739. 442275.i −0.719054 0.522423i
\(236\) 2.00692e6 652087.i 2.34558 0.762124i
\(237\) −22248.7 + 574639.i −0.0257297 + 0.664545i
\(238\) 193102. 265782.i 0.220975 0.304147i
\(239\) −750547. + 545304.i −0.849929 + 0.617510i −0.925127 0.379659i \(-0.876041\pi\)
0.0751971 + 0.997169i \(0.476041\pi\)
\(240\) −19858.4 + 25219.8i −0.0222544 + 0.0282627i
\(241\) 238904.i 0.264961i −0.991186 0.132480i \(-0.957706\pi\)
0.991186 0.132480i \(-0.0422941\pi\)
\(242\) 1.21351e6 + 828813.i 1.33200 + 0.909741i
\(243\) −903305. 176997.i −0.981339 0.192287i
\(244\) −2.23141e6 725029.i −2.39941 0.779616i
\(245\) 533873. + 734813.i 0.568228 + 0.782099i
\(246\) 1.11858e6 748338.i 1.17850 0.788425i
\(247\) 29911.4 + 92057.7i 0.0311956 + 0.0960103i
\(248\) −164836. 507313.i −0.170186 0.523777i
\(249\) −84197.8 + 56328.8i −0.0860602 + 0.0575748i
\(250\) 935960. + 1.28824e6i 0.947125 + 1.30361i
\(251\) −579288. 188222.i −0.580377 0.188576i 0.00409257 0.999992i \(-0.498697\pi\)
−0.584469 + 0.811416i \(0.698697\pi\)
\(252\) −193896. + 227550.i −0.192339 + 0.225722i
\(253\) 1.39621e6 1.04578e6i 1.37136 1.02716i
\(254\) 857217.i 0.833694i
\(255\) −809547. + 1.02811e6i −0.779635 + 0.990126i
\(256\) 798389. 580063.i 0.761403 0.553191i
\(257\) −554448. + 763132.i −0.523634 + 0.720721i −0.986144 0.165894i \(-0.946949\pi\)
0.462509 + 0.886614i \(0.346949\pi\)
\(258\) −47142.7 + 1.21760e6i −0.0440925 + 1.13882i
\(259\) −286537. + 93101.4i −0.265418 + 0.0862396i
\(260\) −789782. 573810.i −0.724559 0.526423i
\(261\) −1.83472e6 142286.i −1.66713 0.129289i
\(262\) −222575. + 685014.i −0.200319 + 0.616519i
\(263\) 378307. 0.337252 0.168626 0.985680i \(-0.446067\pi\)
0.168626 + 0.985680i \(0.446067\pi\)
\(264\) −26545.0 + 1.09903e6i −0.0234409 + 0.970509i
\(265\) 766445. 0.670450
\(266\) −19247.7 + 59238.3i −0.0166792 + 0.0513332i
\(267\) 68471.7 19353.3i 0.0587804 0.0166141i
\(268\) −92843.7 67454.9i −0.0789615 0.0573689i
\(269\) 1.70238e6 553138.i 1.43442 0.466072i 0.514268 0.857630i \(-0.328064\pi\)
0.920153 + 0.391558i \(0.128064\pi\)
\(270\) 1.31050e6 1.42257e6i 1.09402 1.18759i
\(271\) 730950. 1.00607e6i 0.604595 0.832154i −0.391524 0.920168i \(-0.628052\pi\)
0.996119 + 0.0880139i \(0.0280520\pi\)
\(272\) −44658.4 + 32446.2i −0.0366000 + 0.0265914i
\(273\) 100041. + 78773.2i 0.0812401 + 0.0639693i
\(274\) 2.30813e6i 1.85731i
\(275\) 2487.81 + 768.506i 0.00198375 + 0.000612795i
\(276\) 3.25935e6 + 1.20032e6i 2.57548 + 0.948474i
\(277\) −594283. 193094.i −0.465365 0.151206i 0.0669432 0.997757i \(-0.478675\pi\)
−0.532309 + 0.846550i \(0.678675\pi\)
\(278\) −1.50174e6 2.06697e6i −1.16542 1.60406i
\(279\) −173010. 717029.i −0.133064 0.551475i
\(280\) −72935.5 224472.i −0.0555960 0.171107i
\(281\) 638.379 + 1964.73i 0.000482295 + 0.00148435i 0.951297 0.308275i \(-0.0997516\pi\)
−0.950815 + 0.309759i \(0.899752\pi\)
\(282\) 1.06347e6 + 1.58964e6i 0.796351 + 1.19035i
\(283\) −32468.7 44689.3i −0.0240990 0.0331694i 0.796798 0.604246i \(-0.206526\pi\)
−0.820896 + 0.571077i \(0.806526\pi\)
\(284\) −451289. 146633.i −0.332016 0.107879i
\(285\) 85739.0 232815.i 0.0625268 0.169785i
\(286\) 1.24611e6 18132.1i 0.900824 0.0131079i
\(287\) 227091.i 0.162740i
\(288\) 1.23383e6 758033.i 0.876544 0.538526i
\(289\) −671856. + 488132.i −0.473186 + 0.343790i
\(290\) 2.27288e6 3.12835e6i 1.58701 2.18434i
\(291\) 1.29002e6 + 49946.6i 0.893025 + 0.0345759i
\(292\) −1.74015e6 + 565409.i −1.19434 + 0.388066i
\(293\) −1.85154e6 1.34522e6i −1.25998 0.915428i −0.261222 0.965279i \(-0.584126\pi\)
−0.998757 + 0.0498505i \(0.984126\pi\)
\(294\) −627938. 2.22164e6i −0.423690 1.49901i
\(295\) −711886. + 2.19096e6i −0.476272 + 1.46582i
\(296\) −2.20595e6 −1.46341
\(297\) −154101. + 1.51234e6i −0.101371 + 0.994849i
\(298\) −1.94854e6 −1.27107
\(299\) 457152. 1.40697e6i 0.295721 0.910136i
\(300\) 1410.12 + 4988.98i 0.000904590 + 0.00320043i
\(301\) 166341. + 120854.i 0.105824 + 0.0768853i
\(302\) −2.69919e6 + 877021.i −1.70301 + 0.553341i
\(303\) −795780. 30810.8i −0.497951 0.0192795i
\(304\) 6151.66 8467.04i 0.00381776 0.00525469i
\(305\) 2.07222e6 1.50555e6i 1.27552 0.926716i
\(306\) 2.83403e6 1.74116e6i 1.73022 1.06300i
\(307\) 2.28597e6i 1.38428i −0.721762 0.692142i \(-0.756667\pi\)
0.721762 0.692142i \(-0.243333\pi\)
\(308\) 403610. + 284360.i 0.242429 + 0.170802i
\(309\) −81473.6 + 221233.i −0.0485423 + 0.131812i
\(310\) 1.47406e6 + 478952.i 0.871187 + 0.283066i
\(311\) −48412.4 66634.0i −0.0283829 0.0390656i 0.794590 0.607147i \(-0.207686\pi\)
−0.822973 + 0.568081i \(0.807686\pi\)
\(312\) 518404. + 774887.i 0.301496 + 0.450663i
\(313\) −743857. 2.28936e6i −0.429169 1.32085i −0.898945 0.438062i \(-0.855665\pi\)
0.469776 0.882786i \(-0.344335\pi\)
\(314\) 1.16145e6 + 3.57457e6i 0.664777 + 2.04597i
\(315\) −76552.5 317266.i −0.0434693 0.180155i
\(316\) 1.11149e6 + 1.52984e6i 0.626165 + 0.861842i
\(317\) −465887. 151376.i −0.260395 0.0846074i 0.175910 0.984406i \(-0.443713\pi\)
−0.436305 + 0.899799i \(0.643713\pi\)
\(318\) −1.82813e6 673247.i −1.01377 0.373342i
\(319\) 44217.5 + 3.03880e6i 0.0243286 + 1.67196i
\(320\) 2.97694e6i 1.62516i
\(321\) 1.75027e6 + 1.37818e6i 0.948075 + 0.746524i
\(322\) 770155. 559550.i 0.413941 0.300746i
\(323\) 250779. 345167.i 0.133747 0.184087i
\(324\) −2.69375e6 + 1.38030e6i −1.42559 + 0.730484i
\(325\) 2100.09 682.359i 0.00110288 0.000358348i
\(326\) 2.39543e6 + 1.74038e6i 1.24836 + 0.906984i
\(327\) 1.39245e6 393571.i 0.720129 0.203542i
\(328\) 513810. 1.58134e6i 0.263705 0.811600i
\(329\) 322722. 0.164376
\(330\) −2.53816e6 1.93942e6i −1.28302 0.980361i
\(331\) 1.26625e6 0.635257 0.317628 0.948215i \(-0.397114\pi\)
0.317628 + 0.948215i \(0.397114\pi\)
\(332\) −102937. + 316807.i −0.0512537 + 0.157743i
\(333\) −3.04122e6 235852.i −1.50293 0.116554i
\(334\) −1.62515e6 1.18074e6i −0.797129 0.579148i
\(335\) 119153. 38715.2i 0.0580088 0.0188482i
\(336\) 532.649 13757.2i 0.000257391 0.00664788i
\(337\) −784954. + 1.08040e6i −0.376504 + 0.518213i −0.954654 0.297717i \(-0.903775\pi\)
0.578150 + 0.815930i \(0.303775\pi\)
\(338\) −1.88585e6 + 1.37015e6i −0.897875 + 0.652345i
\(339\) 1.34693e6 1.71058e6i 0.636569 0.808433i
\(340\) 4.30297e6i 2.01869i
\(341\) −1.15293e6 + 393245.i −0.536928 + 0.183137i
\(342\) −409011. + 480000.i −0.189090 + 0.221910i
\(343\) −754136. 245034.i −0.346110 0.112458i
\(344\) 884872. + 1.21792e6i 0.403166 + 0.554911i
\(345\) −3.15162e6 + 2.10845e6i −1.42556 + 0.953708i
\(346\) −2.15152e6 6.62170e6i −0.966174 2.97358i
\(347\) 1.31920e6 + 4.06008e6i 0.588149 + 1.81014i 0.586239 + 0.810138i \(0.300608\pi\)
0.00190977 + 0.999998i \(0.499392\pi\)
\(348\) −5.02945e6 + 3.36473e6i −2.22624 + 1.48937i
\(349\) −360605. 496330.i −0.158478 0.218126i 0.722393 0.691483i \(-0.243042\pi\)
−0.880871 + 0.473357i \(0.843042\pi\)
\(350\) 1351.39 + 439.092i 0.000589670 + 0.000191596i
\(351\) 631847. + 1.12372e6i 0.273744 + 0.486845i
\(352\) −1.43369e6 1.91410e6i −0.616733 0.823396i
\(353\) 2.69449e6i 1.15091i −0.817835 0.575453i \(-0.804826\pi\)
0.817835 0.575453i \(-0.195174\pi\)
\(354\) 3.62254e6 4.60058e6i 1.53640 1.95121i
\(355\) 419094. 304489.i 0.176498 0.128233i
\(356\) 137527. 189289.i 0.0575125 0.0791591i
\(357\) 21714.0 560828.i 0.00901715 0.232895i
\(358\) −690805. + 224456.i −0.284871 + 0.0925601i
\(359\) −1.69085e6 1.22847e6i −0.692417 0.503071i 0.185037 0.982732i \(-0.440760\pi\)
−0.877454 + 0.479661i \(0.840760\pi\)
\(360\) 184766. 2.38249e6i 0.0751391 0.968890i
\(361\) 740160. 2.27798e6i 0.298922 0.919987i
\(362\) 4.38074e6 1.75702
\(363\) 2.51042e6 + 24097.1i 0.999954 + 0.00959838i
\(364\) 418701. 0.165635
\(365\) 617259. 1.89973e6i 0.242513 0.746379i
\(366\) −6.26515e6 + 1.77082e6i −2.44472 + 0.690991i
\(367\) 3.45119e6 + 2.50744e6i 1.33753 + 0.971774i 0.999531 + 0.0306280i \(0.00975071\pi\)
0.338001 + 0.941146i \(0.390249\pi\)
\(368\) −152126. + 49428.8i −0.0585578 + 0.0190266i
\(369\) 877434. 2.12518e6i 0.335466 0.812512i
\(370\) 3.76750e6 5.18552e6i 1.43070 1.96919i
\(371\) −265946. + 193221.i −0.100313 + 0.0728819i
\(372\) −1.90560e6 1.50049e6i −0.713962 0.562181i
\(373\) 2.09404e6i 0.779316i 0.920960 + 0.389658i \(0.127407\pi\)
−0.920960 + 0.389658i \(0.872593\pi\)
\(374\) −3.29309e6 4.39658e6i −1.21738 1.62531i
\(375\) 2.55275e6 + 940103.i 0.937412 + 0.345221i
\(376\) 2.24727e6 + 730183.i 0.819758 + 0.266356i
\(377\) 1.51492e6 + 2.08510e6i 0.548953 + 0.755569i
\(378\) −96093.4 + 823990.i −0.0345911 + 0.296615i
\(379\) 213658. + 657572.i 0.0764049 + 0.235150i 0.981963 0.189071i \(-0.0605478\pi\)
−0.905558 + 0.424222i \(0.860548\pi\)
\(380\) −252103. 775895.i −0.0895612 0.275641i
\(381\) 814308. + 1.21719e6i 0.287393 + 0.429582i
\(382\) 2.62192e6 + 3.60876e6i 0.919306 + 1.26532i
\(383\) 1.58703e6 + 515657.i 0.552825 + 0.179624i 0.572090 0.820191i \(-0.306133\pi\)
−0.0192653 + 0.999814i \(0.506133\pi\)
\(384\) 1.58767e6 4.31115e6i 0.549454 1.49199i
\(385\) −510140. + 174000.i −0.175403 + 0.0598271i
\(386\) 1.37125e6i 0.468435i
\(387\) 1.08971e6 + 1.77369e6i 0.369857 + 0.602006i
\(388\) 3.43437e6 2.49521e6i 1.15816 0.841450i
\(389\) −395860. + 544854.i −0.132638 + 0.182560i −0.870170 0.492752i \(-0.835991\pi\)
0.737532 + 0.675312i \(0.235991\pi\)
\(390\) −2.70690e6 104805.i −0.901179 0.0348916i
\(391\) −6.20158e6 + 2.01502e6i −2.05145 + 0.666556i
\(392\) −2.30756e6 1.67654e6i −0.758468 0.551060i
\(393\) 334683. + 1.18411e6i 0.109308 + 0.386732i
\(394\) −1.18166e6 + 3.63678e6i −0.383489 + 1.18026i
\(395\) −2.06439e6 −0.665733
\(396\) 2.67838e6 + 4.22060e6i 0.858292 + 1.35250i
\(397\) 1.53971e6 0.490301 0.245150 0.969485i \(-0.421163\pi\)
0.245150 + 0.969485i \(0.421163\pi\)
\(398\) −1.34037e6 + 4.12522e6i −0.424147 + 1.30539i
\(399\) 28942.6 + 102399.i 0.00910133 + 0.0322004i
\(400\) −193.156 140.336i −6.03613e−5 4.38550e-5i
\(401\) 1.23476e6 401199.i 0.383462 0.124594i −0.110941 0.993827i \(-0.535387\pi\)
0.494404 + 0.869232i \(0.335387\pi\)
\(402\) −318213. 12320.5i −0.0982093 0.00380244i
\(403\) −607212. + 835756.i −0.186242 + 0.256340i
\(404\) −2.11857e6 + 1.53923e6i −0.645788 + 0.469192i
\(405\) 509454. 3.26486e6i 0.154336 0.989069i
\(406\) 1.65849e6i 0.499341i
\(407\) 73294.5 + 5.03709e6i 0.0219324 + 1.50728i
\(408\) 1.42012e6 3.85620e6i 0.422353 1.14686i
\(409\) −370646. 120430.i −0.109560 0.0355981i 0.253724 0.967277i \(-0.418344\pi\)
−0.363284 + 0.931679i \(0.618344\pi\)
\(410\) 2.83974e6 + 3.90857e6i 0.834294 + 1.14831i
\(411\) 2.19260e6 + 3.27740e6i 0.640257 + 0.957027i
\(412\) 239561. + 737294.i 0.0695303 + 0.213992i
\(413\) −305327. 939700.i −0.0880826 0.271090i
\(414\) 9.36933e6 2.26071e6i 2.68663 0.648251i
\(415\) −213753. 294205.i −0.0609244 0.0838552i
\(416\) −1.92885e6 626720.i −0.546467 0.177558i
\(417\) −4.09587e6 1.50839e6i −1.15347 0.424789i
\(418\) 851386. + 599839.i 0.238334 + 0.167917i
\(419\) 4.68106e6i 1.30259i −0.758823 0.651297i \(-0.774225\pi\)
0.758823 0.651297i \(-0.225775\pi\)
\(420\) −843179. 663928.i −0.233237 0.183653i
\(421\) 2.04422e6 1.48521e6i 0.562110 0.408397i −0.270120 0.962827i \(-0.587063\pi\)
0.832231 + 0.554429i \(0.187063\pi\)
\(422\) 5.23911e6 7.21101e6i 1.43211 1.97113i
\(423\) 3.02013e6 + 1.24693e6i 0.820680 + 0.338839i
\(424\) −2.28909e6 + 743771.i −0.618370 + 0.200921i
\(425\) −7874.20 5720.94i −0.00211463 0.00153637i
\(426\) −1.26709e6 + 358138.i −0.338285 + 0.0956151i
\(427\) −339480. + 1.04481e6i −0.0901042 + 0.277312i
\(428\) 7.32542e6 1.93296
\(429\) 1.75216e6 1.20948e6i 0.459654 0.317288i
\(430\) −4.37423e6 −1.14086
\(431\) −1.74469e6 + 5.36960e6i −0.452402 + 1.39235i 0.421756 + 0.906710i \(0.361414\pi\)
−0.874158 + 0.485642i \(0.838586\pi\)
\(432\) 58140.0 126686.i 0.0149888 0.0326603i
\(433\) −4.27162e6 3.10351e6i −1.09490 0.795489i −0.114677 0.993403i \(-0.536583\pi\)
−0.980219 + 0.197914i \(0.936583\pi\)
\(434\) −632223. + 205422.i −0.161119 + 0.0523507i
\(435\) 255581. 6.60115e6i 0.0647599 1.67262i
\(436\) 2.79676e6 3.84941e6i 0.704595 0.969791i
\(437\) 1.00019e6 726681.i 0.250541 0.182029i
\(438\) −3.14102e6 + 3.98905e6i −0.782321 + 0.993537i
\(439\) 579243.i 0.143450i 0.997424 + 0.0717248i \(0.0228503\pi\)
−0.997424 + 0.0717248i \(0.977150\pi\)
\(440\) −3.94605e6 + 57418.8i −0.971696 + 0.0141391i
\(441\) −3.00206e6 2.55807e6i −0.735060 0.626349i
\(442\) −4.43045e6 1.43954e6i −1.07868 0.350484i
\(443\) 1.29735e6 + 1.78565e6i 0.314085 + 0.432302i 0.936650 0.350267i \(-0.113909\pi\)
−0.622564 + 0.782569i \(0.713909\pi\)
\(444\) −8.33678e6 + 5.57735e6i −2.00697 + 1.34267i
\(445\) 78932.4 + 242929.i 0.0188954 + 0.0581539i
\(446\) −1.83575e6 5.64986e6i −0.436995 1.34493i
\(447\) −2.76680e6 + 1.85101e6i −0.654952 + 0.438166i
\(448\) −750488. 1.03296e6i −0.176664 0.243158i
\(449\) −6.51034e6 2.11534e6i −1.52401 0.495181i −0.577099 0.816674i \(-0.695815\pi\)
−0.946912 + 0.321493i \(0.895815\pi\)
\(450\) 10950.1 + 9330.65i 0.00254910 + 0.00217210i
\(451\) −3.62793e6 1.12070e6i −0.839882 0.259446i
\(452\) 7.15930e6i 1.64826i
\(453\) −2.99955e6 + 3.80939e6i −0.686769 + 0.872188i
\(454\) −811190. + 589364.i −0.184707 + 0.134197i
\(455\) −268675. + 369800.i −0.0608414 + 0.0837410i
\(456\) −30143.2 + 778537.i −0.00678855 + 0.175334i
\(457\) 2.11495e6 687188.i 0.473706 0.153917i −0.0624275 0.998050i \(-0.519884\pi\)
0.536134 + 0.844133i \(0.319884\pi\)
\(458\) 3.74033e6 + 2.71751e6i 0.833193 + 0.605350i
\(459\) 2.37014e6 5.16450e6i 0.525100 1.14419i
\(460\) −3.85303e6 + 1.18584e7i −0.849001 + 2.61296i
\(461\) 4.71411e6 1.03311 0.516557 0.856253i \(-0.327214\pi\)
0.516557 + 0.856253i \(0.327214\pi\)
\(462\) 1.36963e6 + 33081.0i 0.298538 + 0.00721063i
\(463\) −4.84139e6 −1.04959 −0.524793 0.851230i \(-0.675857\pi\)
−0.524793 + 0.851230i \(0.675857\pi\)
\(464\) 86113.6 265030.i 0.0185685 0.0571480i
\(465\) 2.54805e6 720196.i 0.546481 0.154461i
\(466\) −1.56742e6 1.13880e6i −0.334365 0.242930i
\(467\) −1.46286e6 + 475311.i −0.310391 + 0.100852i −0.460070 0.887882i \(-0.652176\pi\)
0.149679 + 0.988735i \(0.452176\pi\)
\(468\) 3.91833e6 + 1.61778e6i 0.826964 + 0.341433i
\(469\) −31584.4 + 43472.2i −0.00663042 + 0.00912599i
\(470\) −5.55452e6 + 4.03560e6i −1.15985 + 0.842681i
\(471\) 5.04482e6 + 3.97234e6i 1.04784 + 0.825077i
\(472\) 7.23442e6i 1.49468i
\(473\) 2.75162e6 2.06100e6i 0.565504 0.423569i
\(474\) 4.92401e6 + 1.81337e6i 1.00664 + 0.370715i
\(475\) 1755.03 + 570.243i 0.000356903 + 0.000115965i
\(476\) −1.08478e6 1.49307e6i −0.219444 0.302039i
\(477\) −3.23537e6 + 780656.i −0.651071 + 0.157096i
\(478\) 2.61588e6 + 8.05086e6i 0.523659 + 1.61166i
\(479\) −822748. 2.53216e6i −0.163843 0.504257i 0.835106 0.550089i \(-0.185406\pi\)
−0.998949 + 0.0458317i \(0.985406\pi\)
\(480\) 2.89052e6 + 4.32063e6i 0.572629 + 0.855940i
\(481\) 2.51111e6 + 3.45625e6i 0.494884 + 0.681149i
\(482\) −2.07322e6 673631.i −0.406470 0.132070i
\(483\) 562027. 1.52613e6i 0.109620 0.297662i
\(484\) 6.53469e6 5.04463e6i 1.26798 0.978849i
\(485\) 4.63440e6i 0.894622i
\(486\) −4.08301e6 + 7.33986e6i −0.784133 + 1.40960i
\(487\) 1.99995e6 1.45305e6i 0.382118 0.277625i −0.380100 0.924945i \(-0.624110\pi\)
0.762218 + 0.647320i \(0.224110\pi\)
\(488\) −4.72794e6 + 6.50745e6i −0.898716 + 1.23698i
\(489\) 5.05460e6 + 195703.i 0.955906 + 0.0370105i
\(490\) 7.88209e6 2.56105e6i 1.48303 0.481867i
\(491\) −8.38797e6 6.09421e6i −1.57019 1.14081i −0.926972 0.375131i \(-0.877598\pi\)
−0.643221 0.765680i \(-0.722402\pi\)
\(492\) −2.05635e6 7.27534e6i −0.382987 1.35500i
\(493\) 3.51051e6 1.08042e7i 0.650509 2.00206i
\(494\) 883222. 0.162837
\(495\) −5.44634e6 342737.i −0.999061 0.0628707i
\(496\) 111697. 0.0203863
\(497\) −68657.9 + 211307.i −0.0124681 + 0.0383728i
\(498\) 251414. + 889502.i 0.0454273 + 0.160721i
\(499\) 4.08787e6 + 2.97001e6i 0.734929 + 0.533957i 0.891119 0.453770i \(-0.149921\pi\)
−0.156190 + 0.987727i \(0.549921\pi\)
\(500\) 8.50746e6 2.76424e6i 1.52186 0.494482i
\(501\) −3.42925e6 132773.i −0.610386 0.0236328i
\(502\) −3.26680e6 + 4.49636e6i −0.578580 + 0.796347i
\(503\) 2.03741e6 1.48027e6i 0.359053 0.260867i −0.393604 0.919280i \(-0.628772\pi\)
0.752657 + 0.658413i \(0.228772\pi\)
\(504\) 536515. + 873270.i 0.0940817 + 0.153134i
\(505\) 2.85884e6i 0.498841i
\(506\) −5.13848e6 1.50652e7i −0.892192 2.61576i
\(507\) −1.37622e6 + 3.73698e6i −0.237776 + 0.645655i
\(508\) 4.57986e6 + 1.48809e6i 0.787396 + 0.255840i
\(509\) 4.74818e6 + 6.53531e6i 0.812330 + 1.11808i 0.990960 + 0.134160i \(0.0428337\pi\)
−0.178629 + 0.983916i \(0.557166\pi\)
\(510\) 6.63936e6 + 9.92423e6i 1.13032 + 1.68955i
\(511\) 264742. + 814791.i 0.0448508 + 0.138036i
\(512\) 131708. + 405356.i 0.0222043 + 0.0683379i
\(513\) −124795. + 1.07011e6i −0.0209365 + 0.179528i
\(514\) 5.05914e6 + 6.96331e6i 0.844634 + 1.16254i
\(515\) −804907. 261530.i −0.133730 0.0434514i
\(516\) 6.42344e6 + 2.36556e6i 1.06205 + 0.391120i
\(517\) 1.59264e6 5.15571e6i 0.262055 0.848325i
\(518\) 2.74909e6i 0.450158i
\(519\) −9.34526e6 7.35855e6i −1.52290 1.19915i
\(520\) −2.70762e6 + 1.96720e6i −0.439116 + 0.319036i
\(521\) 942849. 1.29772e6i 0.152177 0.209453i −0.726122 0.687566i \(-0.758679\pi\)
0.878298 + 0.478113i \(0.158679\pi\)
\(522\) −6.40807e6 + 1.55206e7i −1.02932 + 2.49306i
\(523\) 1.00363e7 3.26098e6i 1.60442 0.521308i 0.636225 0.771504i \(-0.280495\pi\)
0.968195 + 0.250196i \(0.0804950\pi\)
\(524\) 3.27345e6 + 2.37830e6i 0.520808 + 0.378389i
\(525\) 2335.99 660.259i 0.000369890 0.000104548i
\(526\) 1.06670e6 3.28297e6i 0.168104 0.517371i
\(527\) 4.55345e6 0.714190
\(528\) −217153. 76401.9i −0.0338986 0.0119267i
\(529\) −1.24587e7 −1.93569
\(530\) 2.16112e6 6.65125e6i 0.334187 1.02852i
\(531\) 773479. 9.97372e6i 0.119045 1.53504i
\(532\) 283080. + 205670.i 0.0433640 + 0.0315058i
\(533\) −3.06252e6 + 995073.i −0.466940 + 0.151718i
\(534\) 25118.9 648771.i 0.00381196 0.0984550i
\(535\) −4.70063e6 + 6.46986e6i −0.710021 + 0.977261i
\(536\) −318297. + 231257.i −0.0478543 + 0.0347682i
\(537\) −767676. + 974938.i −0.114879 + 0.145895i
\(538\) 1.63330e7i 2.43283i
\(539\) −3.75156e6 + 5.32482e6i −0.556212 + 0.789465i
\(540\) −5.32543e6 9.47112e6i −0.785906 1.39771i
\(541\) 3.94948e6 + 1.28326e6i 0.580158 + 0.188505i 0.584371 0.811486i \(-0.301341\pi\)
−0.00421320 + 0.999991i \(0.501341\pi\)
\(542\) −6.66966e6 9.18000e6i −0.975227 1.34228i
\(543\) 6.22035e6 4.16145e6i 0.905348 0.605683i
\(544\) 2.76243e6 + 8.50190e6i 0.400216 + 1.23174i
\(545\) 1.60518e6 + 4.94024e6i 0.231490 + 0.712454i
\(546\) 965679. 646045.i 0.138628 0.0927430i
\(547\) −1.95335e6 2.68856e6i −0.279134 0.384194i 0.646313 0.763072i \(-0.276310\pi\)
−0.925447 + 0.378878i \(0.876310\pi\)
\(548\) 1.23317e7 + 4.00681e6i 1.75417 + 0.569963i
\(549\) −7.21392e6 + 8.46599e6i −1.02150 + 1.19880i
\(550\) 13683.9 19422.4i 0.00192888 0.00273777i
\(551\) 2.15385e6i 0.302230i
\(552\) 7.36665e6 9.35555e6i 1.02902 1.30684i
\(553\) 716316. 520434.i 0.0996075 0.0723691i
\(554\) −3.35136e6 + 4.61276e6i −0.463924 + 0.638537i
\(555\) 423650. 1.09420e7i 0.0583814 1.50787i
\(556\) −1.36501e7 + 4.43520e6i −1.87262 + 0.608452i
\(557\) −2.44526e6 1.77659e6i −0.333954 0.242632i 0.408152 0.912914i \(-0.366173\pi\)
−0.742107 + 0.670282i \(0.766173\pi\)
\(558\) −6.71024e6 520391.i −0.912332 0.0707529i
\(559\) 900942. 2.77281e6i 0.121946 0.375311i
\(560\) 49423.0 0.00665976
\(561\) −8.85247e6 3.11460e6i −1.18757 0.417826i
\(562\) 18850.0 0.00251751
\(563\) −4.10093e6 + 1.26214e7i −0.545270 + 1.67817i 0.175077 + 0.984555i \(0.443983\pi\)
−0.720347 + 0.693614i \(0.756017\pi\)
\(564\) 1.03391e7 2.92231e6i 1.36863 0.386837i
\(565\) 6.32314e6 + 4.59403e6i 0.833320 + 0.605442i
\(566\) −479367. + 155756.i −0.0628966 + 0.0204363i
\(567\) 646297. + 1.26129e6i 0.0844257 + 0.164763i
\(568\) −956198. + 1.31609e6i −0.124359 + 0.171165i
\(569\) 8.85568e6 6.43403e6i 1.14668 0.833110i 0.158642 0.987336i \(-0.449289\pi\)
0.988036 + 0.154226i \(0.0492885\pi\)
\(570\) −1.77863e6 1.40051e6i −0.229297 0.180551i
\(571\) 3.15547e6i 0.405017i 0.979280 + 0.202509i \(0.0649094\pi\)
−0.979280 + 0.202509i \(0.935091\pi\)
\(572\) 2.06630e6 6.68906e6i 0.264061 0.854820i
\(573\) 7.15106e6 + 2.63352e6i 0.909879 + 0.335082i
\(574\) −1.97070e6 640320.i −0.249656 0.0811180i
\(575\) −16577.5 22817.0i −0.00209098 0.00287799i
\(576\) −3.03214e6 1.25665e7i −0.380796 1.57818i
\(577\) 2.00362e6 + 6.16650e6i 0.250539 + 0.771080i 0.994676 + 0.103053i \(0.0328611\pi\)
−0.744137 + 0.668027i \(0.767139\pi\)
\(578\) 2.34162e6 + 7.20677e6i 0.291539 + 0.897266i
\(579\) 1.30261e6 + 1.94709e6i 0.161480 + 0.241373i
\(580\) −1.27682e7 1.75740e7i −1.57602 2.16920i
\(581\) 148338. + 48198.1i 0.0182311 + 0.00592365i
\(582\) 4.07087e6 1.10540e7i 0.498172 1.35274i
\(583\) 1.77439e6 + 5.20223e6i 0.216211 + 0.633896i
\(584\) 6.27279e6i 0.761077i
\(585\) −3.94318e6 + 2.42259e6i −0.476384 + 0.292678i
\(586\) −1.68946e7 + 1.22747e7i −2.03238 + 1.47661i
\(587\) −4.56743e6 + 6.28653e6i −0.547113 + 0.753036i −0.989617 0.143730i \(-0.954090\pi\)
0.442504 + 0.896767i \(0.354090\pi\)
\(588\) −1.29596e7 501768.i −1.54579 0.0598493i
\(589\) −821060. + 266779.i −0.0975185 + 0.0316857i
\(590\) 1.70060e7 + 1.23556e7i 2.01128 + 1.46128i
\(591\) 1.77685e6 + 6.28650e6i 0.209259 + 0.740355i
\(592\) 142741. 439312.i 0.0167396 0.0515192i
\(593\) 881524. 0.102943 0.0514716 0.998674i \(-0.483609\pi\)
0.0514716 + 0.998674i \(0.483609\pi\)
\(594\) 1.26896e7 + 5.60158e6i 1.47565 + 0.651395i
\(595\) 2.01478e6 0.233311
\(596\) −3.38258e6 + 1.04105e7i −0.390061 + 1.20048i
\(597\) 2.01550e6 + 7.13081e6i 0.231444 + 0.818848i
\(598\) −1.09207e7 7.93437e6i −1.24882 0.907318i
\(599\) −1.00761e7 + 3.27392e6i −1.14743 + 0.372822i −0.820174 0.572114i \(-0.806123\pi\)
−0.327254 + 0.944936i \(0.606123\pi\)
\(600\) 17760.5 + 687.648i 0.00201409 + 7.79809e-5i
\(601\) −2.91652e6 + 4.01424e6i −0.329366 + 0.453333i −0.941298 0.337577i \(-0.890393\pi\)
0.611932 + 0.790910i \(0.290393\pi\)
\(602\) 1.51780e6 1.10275e6i 0.170696 0.124018i
\(603\) −463545. + 284790.i −0.0519157 + 0.0318956i
\(604\) 1.59435e7i 1.77824i
\(605\) 262222. + 9.00855e6i 0.0291260 + 1.00061i
\(606\) −2.51121e6 + 6.81894e6i −0.277781 + 0.754285i
\(607\) −856259. 278216.i −0.0943265 0.0306485i 0.261474 0.965211i \(-0.415792\pi\)
−0.355800 + 0.934562i \(0.615792\pi\)
\(608\) −996223. 1.37118e6i −0.109294 0.150431i
\(609\) 1.57547e6 + 2.35494e6i 0.172134 + 0.257298i
\(610\) −7.22231e6 2.22280e7i −0.785871 2.41866i
\(611\) −1.41411e6 4.35219e6i −0.153243 0.471634i
\(612\) −4.38275e6 1.81640e7i −0.473007 1.96034i
\(613\) 7.96322e6 + 1.09604e7i 0.855929 + 1.17808i 0.982525 + 0.186131i \(0.0595947\pi\)
−0.126596 + 0.991954i \(0.540405\pi\)
\(614\) −1.98378e7 6.44569e6i −2.12360 0.689999i
\(615\) 7.74516e6 + 2.85231e6i 0.825739 + 0.304095i
\(616\) 1.35475e6 1.01472e6i 0.143849 0.107745i
\(617\) 9.33490e6i 0.987181i −0.869694 0.493590i \(-0.835684\pi\)
0.869694 0.493590i \(-0.164316\pi\)
\(618\) 1.69014e6 + 1.33084e6i 0.178013 + 0.140169i
\(619\) 9.73044e6 7.06958e6i 1.02072 0.741595i 0.0542882 0.998525i \(-0.482711\pi\)
0.966430 + 0.256930i \(0.0827110\pi\)
\(620\) 5.11780e6 7.04405e6i 0.534692 0.735941i
\(621\) 1.11563e7 1.21104e7i 1.16089 1.26017i
\(622\) −714760. + 232240.i −0.0740772 + 0.0240691i
\(623\) −88630.9 64394.1i −0.00914882 0.00664701i
\(624\) −187863. + 53098.7i −0.0193143 + 0.00545911i
\(625\) −3.02400e6 + 9.30690e6i −0.309657 + 0.953027i
\(626\) −2.19646e7 −2.24020
\(627\) 1.77872e6 + 42961.8i 0.180692 + 0.00436429i
\(628\) 2.11141e7 2.13636
\(629\) 5.81900e6 1.79090e7i 0.586437 1.80487i
\(630\) −2.96910e6 230259.i −0.298040 0.0231135i
\(631\) −968375. 703566.i −0.0968212 0.0703447i 0.538321 0.842740i \(-0.319059\pi\)
−0.635143 + 0.772395i \(0.719059\pi\)
\(632\) 6.16559e6 2.00332e6i 0.614019 0.199507i
\(633\) 589129. 1.52160e7i 0.0584388 1.50936i
\(634\) −2.62729e6 + 3.61616e6i −0.259589 + 0.357293i
\(635\) −4.25313e6 + 3.09008e6i −0.418576 + 0.304113i
\(636\) −6.77051e6 + 8.59845e6i −0.663710 + 0.842903i
\(637\) 5.52392e6i 0.539385i
\(638\) 2.64955e7 + 8.18468e6i 2.57704 + 0.796068i
\(639\) −1.45897e6 + 1.71219e6i −0.141350 + 0.165883i
\(640\) 1.56852e7 + 5.09641e6i 1.51370 + 0.491830i
\(641\) −6.11846e6 8.42134e6i −0.588163 0.809536i 0.406398 0.913696i \(-0.366785\pi\)
−0.994561 + 0.104160i \(0.966785\pi\)
\(642\) 1.68951e7 1.13029e7i 1.61780 1.08231i
\(643\) −3.10815e6 9.56589e6i −0.296466 0.912427i −0.982725 0.185071i \(-0.940749\pi\)
0.686260 0.727357i \(-0.259251\pi\)
\(644\) −1.65256e6 5.08606e6i −0.157016 0.483245i
\(645\) −6.21112e6 + 4.15527e6i −0.587855 + 0.393278i
\(646\) −2.28827e6 3.14953e6i −0.215737 0.296937i
\(647\) 4.92500e6 + 1.60023e6i 0.462536 + 0.150287i 0.531010 0.847366i \(-0.321813\pi\)
−0.0684733 + 0.997653i \(0.521813\pi\)
\(648\) 1.64671e6 + 1.02453e7i 0.154057 + 0.958490i
\(649\) −1.65192e7 + 240370.i −1.53949 + 0.0224011i
\(650\) 20148.7i 0.00187052i
\(651\) −702576. + 892261.i −0.0649742 + 0.0825163i
\(652\) 1.34567e7 9.77684e6i 1.23971 0.900699i
\(653\) 1.65998e6 2.28476e6i 0.152342 0.209680i −0.726024 0.687669i \(-0.758634\pi\)
0.878366 + 0.477989i \(0.158634\pi\)
\(654\) 510822. 1.31935e7i 0.0467009 1.20619i
\(655\) −4.20106e6 + 1.36501e6i −0.382610 + 0.124317i
\(656\) 281676. + 204650.i 0.0255559 + 0.0185674i
\(657\) −670665. + 8.64797e6i −0.0606167 + 0.781629i
\(658\) 909969. 2.80060e6i 0.0819335 0.252165i
\(659\) 4.36667e6 0.391685 0.195842 0.980635i \(-0.437256\pi\)
0.195842 + 0.980635i \(0.437256\pi\)
\(660\) −1.47678e7 + 1.01939e7i −1.31965 + 0.910920i
\(661\) −6.18315e6 −0.550435 −0.275218 0.961382i \(-0.588750\pi\)
−0.275218 + 0.961382i \(0.588750\pi\)
\(662\) 3.57041e6 1.09886e7i 0.316645 0.974533i
\(663\) −7.65842e6 + 2.16462e6i −0.676636 + 0.191249i
\(664\) 923902. + 671254.i 0.0813216 + 0.0590836i
\(665\) −363297. + 118042.i −0.0318572 + 0.0103510i
\(666\) −1.06220e7 + 2.57268e7i −0.927939 + 2.24751i
\(667\) 1.93490e7 2.66317e7i 1.68401 2.31784i
\(668\) −9.12955e6 + 6.63301e6i −0.791605 + 0.575135i
\(669\) −7.97369e6 6.27856e6i −0.688801 0.542369i
\(670\) 1.14318e6i 0.0983849i
\(671\) 1.50163e7 + 1.05796e7i 1.28753 + 0.907119i
\(672\) −2.09220e6 770496.i −0.178723 0.0658184i
\(673\) 1.12533e7 + 3.65641e6i 0.957725 + 0.311184i 0.745851 0.666113i \(-0.232043\pi\)
0.211875 + 0.977297i \(0.432043\pi\)
\(674\) 7.16243e6 + 9.85824e6i 0.607310 + 0.835891i
\(675\) 24412.0 + 2846.92i 0.00206226 + 0.000240500i
\(676\) 4.04657e6 + 1.24541e7i 0.340581 + 1.04820i
\(677\) 2.22597e6 + 6.85082e6i 0.186658 + 0.574475i 0.999973 0.00734920i \(-0.00233934\pi\)
−0.813315 + 0.581824i \(0.802339\pi\)
\(678\) −1.10466e7 1.65120e7i −0.922900 1.37951i
\(679\) −1.16833e6 1.60807e6i −0.0972507 0.133854i
\(680\) 1.40299e7 + 4.55859e6i 1.16354 + 0.378058i
\(681\) −591973. + 1.60744e6i −0.0489141 + 0.132821i
\(682\) 161719. + 1.11140e7i 0.0133138 + 0.914974i
\(683\) 1.43408e7i 1.17631i −0.808748 0.588155i \(-0.799854\pi\)
0.808748 0.588155i \(-0.200146\pi\)
\(684\) 1.85448e6 + 3.01848e6i 0.151559 + 0.246688i
\(685\) −1.14519e7 + 8.32031e6i −0.932507 + 0.677506i
\(686\) −4.25283e6 + 5.85351e6i −0.345038 + 0.474905i
\(687\) 7.89249e6 + 305579.i 0.638002 + 0.0247020i
\(688\) −299806. + 97412.9i −0.0241473 + 0.00784595i
\(689\) 3.77109e6 + 2.73986e6i 0.302635 + 0.219877i
\(690\) 9.41071e6 + 3.32950e7i 0.752488 + 2.66230i
\(691\) 4.96449e6 1.52791e7i 0.395530 1.21732i −0.533017 0.846104i \(-0.678942\pi\)
0.928548 0.371213i \(-0.121058\pi\)
\(692\) −3.91127e7 −3.10494
\(693\) 1.97621e6 1.25410e6i 0.156315 0.0991971i
\(694\) 3.89533e7 3.07005
\(695\) 4.84192e6 1.49019e7i 0.380238 1.17025i
\(696\) 5.64253e6 + 1.99632e7i 0.441520 + 1.56210i
\(697\) 1.14828e7 + 8.34276e6i 0.895296 + 0.650470i
\(698\) −5.32396e6 + 1.72986e6i −0.413615 + 0.134392i
\(699\) −3.30742e6 128056.i −0.256033 0.00991303i
\(700\) 4691.88 6457.82i 0.000361911 0.000498128i
\(701\) 5.44570e6 3.95653e6i 0.418561 0.304102i −0.358498 0.933531i \(-0.616711\pi\)
0.777059 + 0.629428i \(0.216711\pi\)
\(702\) 1.15333e7 2.31468e6i 0.883306 0.177275i
\(703\) 3.57021e6i 0.272462i
\(704\) −2.02059e7 + 6.89191e6i −1.53655 + 0.524092i
\(705\) −4.05346e6 + 1.10068e7i −0.307152 + 0.834040i
\(706\) −2.33829e7 7.59757e6i −1.76558 0.573671i
\(707\) 720715. + 991980.i 0.0542270 + 0.0746370i
\(708\) −1.82910e7 2.73405e7i −1.37137 2.04986i
\(709\) −4.72223e6 1.45335e7i −0.352802 1.08581i −0.957273 0.289186i \(-0.906615\pi\)
0.604471 0.796627i \(-0.293385\pi\)
\(710\) −1.46067e6 4.49547e6i −0.108744 0.334680i
\(711\) 8.71436e6 2.10267e6i 0.646489 0.155990i
\(712\) −471484. 648942.i −0.0348552 0.0479740i
\(713\) 1.25487e7 + 4.07732e6i 0.924433 + 0.300366i
\(714\) −4.80567e6 1.76979e6i −0.352783 0.129920i
\(715\) 4.58190e6 + 6.11725e6i 0.335182 + 0.447498i
\(716\) 4.08041e6i 0.297455i
\(717\) 1.13622e7 + 8.94674e6i 0.825402 + 0.649930i
\(718\) −1.54284e7 + 1.12094e7i −1.11689 + 0.811465i
\(719\) −4.31233e6 + 5.93542e6i −0.311093 + 0.428183i −0.935722 0.352739i \(-0.885250\pi\)
0.624629 + 0.780922i \(0.285250\pi\)
\(720\) 462515. + 190961.i 0.0332502 + 0.0137282i
\(721\) 345223. 112170.i 0.0247322 0.00803597i
\(722\) −1.76814e7 1.28463e7i −1.26233 0.917138i
\(723\) −3.58375e6 + 1.01293e6i −0.254972 + 0.0720668i
\(724\) 7.60474e6 2.34050e7i 0.539185 1.65944i
\(725\) 49135.3 0.00347175
\(726\) 7.28767e6 2.17176e7i 0.513153 1.52922i
\(727\) −7.01576e6 −0.492310 −0.246155 0.969230i \(-0.579167\pi\)
−0.246155 + 0.969230i \(0.579167\pi\)
\(728\) 443575. 1.36518e6i 0.0310198 0.0954691i
\(729\) 1.17485e6 + 1.43007e7i 0.0818770 + 0.996642i
\(730\) −1.47455e7 1.07132e7i −1.02412 0.744068i
\(731\) −1.22219e7 + 3.97114e6i −0.845952 + 0.274866i
\(732\) −1.41501e6 + 3.65469e7i −0.0976075 + 2.52100i
\(733\) −1.33135e7 + 1.83245e7i −0.915235 + 1.25971i 0.0501127 + 0.998744i \(0.484042\pi\)
−0.965347 + 0.260969i \(0.915958\pi\)
\(734\) 3.14909e7 2.28795e7i 2.15747 1.56749i
\(735\) 8.75919e6 1.11241e7i 0.598061 0.759529i
\(736\) 2.59037e7i 1.76266i
\(737\) 538630. + 719121.i 0.0365277 + 0.0487678i
\(738\) −1.59683e7 1.36067e7i −1.07924 0.919629i
\(739\) −2.75815e7 8.96177e6i −1.85783 0.603647i −0.995205 0.0978080i \(-0.968817\pi\)
−0.862628 0.505839i \(-0.831183\pi\)
\(740\) −2.11645e7 2.91305e7i −1.42079 1.95555i
\(741\) 1.25412e6 839010.i 0.0839058 0.0561334i
\(742\) 926903. + 2.85271e6i 0.0618051 + 0.190217i
\(743\) −4.94285e6 1.52125e7i −0.328477 1.01095i −0.969846 0.243717i \(-0.921633\pi\)
0.641369 0.767232i \(-0.278367\pi\)
\(744\) −6.91119e6 + 4.62363e6i −0.457742 + 0.306232i
\(745\) −7.02407e6 9.66780e6i −0.463658 0.638171i
\(746\) 1.81722e7 + 5.90451e6i 1.19553 + 0.388452i
\(747\) 1.20197e6 + 1.02420e6i 0.0788118 + 0.0671560i
\(748\) −2.92063e7 + 9.96178e6i −1.90863 + 0.651003i
\(749\) 3.42998e6i 0.223402i
\(750\) 1.53562e7 1.95021e7i 0.996851 1.26599i
\(751\) −8.68288e6 + 6.30848e6i −0.561777 + 0.408155i −0.832109 0.554612i \(-0.812867\pi\)
0.270332 + 0.962767i \(0.412867\pi\)
\(752\) −290831. + 400294.i −0.0187541 + 0.0258128i
\(753\) −367347. + 9.48781e6i −0.0236096 + 0.609787i
\(754\) 2.23662e7 7.26721e6i 1.43273 0.465521i
\(755\) −1.40814e7 1.02307e7i −0.899037 0.653188i
\(756\) 4.23552e6 + 1.94380e6i 0.269527 + 0.123694i
\(757\) −4.36431e6 + 1.34320e7i −0.276806 + 0.851921i 0.711930 + 0.702250i \(0.247821\pi\)
−0.988736 + 0.149671i \(0.952179\pi\)
\(758\) 6.30889e6 0.398822
\(759\) −2.16074e7 1.65103e7i −1.36144 1.04028i
\(760\) −2.79690e6 −0.175648
\(761\) −153717. + 473093.i −0.00962191 + 0.0296132i −0.955752 0.294173i \(-0.904956\pi\)
0.946130 + 0.323786i \(0.104956\pi\)
\(762\) 1.28589e7 3.63453e6i 0.802264 0.226757i
\(763\) −1.80241e6 1.30953e6i −0.112084 0.0814336i
\(764\) 2.38320e7 7.74350e6i 1.47716 0.479959i
\(765\) 1.88549e7 + 7.78472e6i 1.16485 + 0.480938i
\(766\) 8.94979e6 1.23183e7i 0.551113 0.758542i
\(767\) −1.13348e7 + 8.23522e6i −0.695706 + 0.505460i
\(768\) −1.20865e7 9.51703e6i −0.739430 0.582235i
\(769\)