Properties

Label 45.4.l.a.2.5
Level $45$
Weight $4$
Character 45.2
Analytic conductor $2.655$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.65508595026\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.5
Character \(\chi\) \(=\) 45.2
Dual form 45.4.l.a.23.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.748271 - 2.79258i) q^{2} +(-0.352314 - 5.18419i) q^{3} +(-0.310415 + 0.179218i) q^{4} +(11.0394 - 1.76941i) q^{5} +(-14.2137 + 4.86305i) q^{6} +(-18.7862 + 5.03374i) q^{7} +(-15.6218 - 15.6218i) q^{8} +(-26.7517 + 3.65293i) q^{9} +O(q^{10})\) \(q+(-0.748271 - 2.79258i) q^{2} +(-0.352314 - 5.18419i) q^{3} +(-0.310415 + 0.179218i) q^{4} +(11.0394 - 1.76941i) q^{5} +(-14.2137 + 4.86305i) q^{6} +(-18.7862 + 5.03374i) q^{7} +(-15.6218 - 15.6218i) q^{8} +(-26.7517 + 3.65293i) q^{9} +(-13.2017 - 29.5046i) q^{10} +(49.0377 + 28.3119i) q^{11} +(1.03846 + 1.54611i) q^{12} +(2.30137 + 0.616650i) q^{13} +(28.1143 + 48.6954i) q^{14} +(-13.0623 - 56.6072i) q^{15} +(-33.3695 + 57.7977i) q^{16} +(92.5976 - 92.5976i) q^{17} +(30.2187 + 71.9731i) q^{18} -21.7774i q^{19} +(-3.10969 + 2.52772i) q^{20} +(32.7146 + 95.6178i) q^{21} +(42.3700 - 158.127i) q^{22} +(-26.4989 + 98.8952i) q^{23} +(-75.4824 + 86.4900i) q^{24} +(118.738 - 39.0667i) q^{25} -6.88818i q^{26} +(28.3625 + 137.399i) q^{27} +(4.92937 - 4.92937i) q^{28} +(40.6009 - 70.3228i) q^{29} +(-148.306 + 78.8352i) q^{30} +(4.26447 + 7.38628i) q^{31} +(15.6566 + 4.19518i) q^{32} +(129.498 - 264.196i) q^{33} +(-327.875 - 189.298i) q^{34} +(-198.482 + 88.8102i) q^{35} +(7.64946 - 5.92832i) q^{36} +(8.92697 + 8.92697i) q^{37} +(-60.8153 + 16.2954i) q^{38} +(2.38603 - 12.1480i) q^{39} +(-200.097 - 144.814i) q^{40} +(-28.1572 + 16.2566i) q^{41} +(242.541 - 162.906i) q^{42} +(114.874 + 428.714i) q^{43} -20.2960 q^{44} +(-288.861 + 87.6612i) q^{45} +296.002 q^{46} +(-37.5556 - 140.159i) q^{47} +(311.391 + 152.631i) q^{48} +(30.5356 - 17.6297i) q^{49} +(-197.945 - 302.354i) q^{50} +(-512.667 - 447.420i) q^{51} +(-0.824893 + 0.221029i) q^{52} +(-82.9808 - 82.9808i) q^{53} +(362.476 - 182.017i) q^{54} +(591.444 + 225.780i) q^{55} +(372.109 + 214.837i) q^{56} +(-112.898 + 7.67250i) q^{57} +(-226.763 - 60.7609i) q^{58} +(129.436 + 224.189i) q^{59} +(14.1998 + 15.2307i) q^{60} +(-282.613 + 489.500i) q^{61} +(17.4358 - 17.4358i) q^{62} +(484.175 - 203.286i) q^{63} +487.051i q^{64} +(26.4969 + 2.73539i) q^{65} +(-834.688 - 163.944i) q^{66} +(-116.526 + 434.879i) q^{67} +(-12.1485 + 45.3388i) q^{68} +(522.028 + 102.533i) q^{69} +(396.528 + 487.824i) q^{70} -16.2978i q^{71} +(474.974 + 360.844i) q^{72} +(59.2407 - 59.2407i) q^{73} +(18.2495 - 31.6091i) q^{74} +(-244.362 - 601.799i) q^{75} +(3.90290 + 6.76003i) q^{76} +(-1063.75 - 285.030i) q^{77} +(-35.7097 + 2.42681i) q^{78} +(-472.049 - 272.538i) q^{79} +(-266.113 + 697.098i) q^{80} +(702.312 - 195.445i) q^{81} +(66.4671 + 66.4671i) q^{82} +(-972.735 + 260.644i) q^{83} +(-27.2915 - 23.8181i) q^{84} +(858.382 - 1186.07i) q^{85} +(1111.26 - 641.588i) q^{86} +(-378.871 - 185.707i) q^{87} +(-323.773 - 1208.34i) q^{88} +844.831 q^{89} +(460.947 + 741.074i) q^{90} -46.3380 q^{91} +(-9.49816 - 35.4476i) q^{92} +(36.7895 - 24.7101i) q^{93} +(-363.305 + 209.754i) q^{94} +(-38.5333 - 240.410i) q^{95} +(16.2326 - 82.6450i) q^{96} +(393.261 - 105.374i) q^{97} +(-72.0814 - 72.0814i) q^{98} +(-1415.27 - 578.262i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 6 q^{2} - 6 q^{5} - 24 q^{6} - 2 q^{7} - 8 q^{10} - 36 q^{11} - 138 q^{12} - 2 q^{13} - 96 q^{15} + 316 q^{16} - 480 q^{18} + 378 q^{20} + 480 q^{21} - 34 q^{22} + 306 q^{23} - 146 q^{25} + 180 q^{27} - 232 q^{28} - 1170 q^{30} - 4 q^{31} - 1770 q^{32} - 294 q^{33} - 216 q^{36} + 136 q^{37} + 114 q^{38} + 126 q^{40} + 1992 q^{41} + 1698 q^{42} - 2 q^{43} + 1134 q^{45} - 952 q^{46} + 3462 q^{47} + 4326 q^{48} + 666 q^{50} - 2496 q^{51} - 242 q^{52} + 284 q^{55} - 7128 q^{56} - 2544 q^{57} + 534 q^{58} + 1818 q^{60} + 32 q^{61} - 4038 q^{63} - 2094 q^{65} + 2892 q^{66} + 610 q^{67} - 2694 q^{68} + 498 q^{70} - 1854 q^{72} - 8 q^{73} - 6408 q^{75} + 1368 q^{76} - 6486 q^{77} + 1434 q^{78} + 3012 q^{81} - 3784 q^{82} + 2814 q^{83} - 1658 q^{85} + 12480 q^{86} + 4830 q^{87} - 1338 q^{88} + 13914 q^{90} + 992 q^{91} + 13152 q^{92} + 8310 q^{93} + 4284 q^{95} - 7932 q^{96} + 358 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.748271 2.79258i −0.264554 0.987328i −0.962523 0.271200i \(-0.912580\pi\)
0.697969 0.716128i \(-0.254087\pi\)
\(3\) −0.352314 5.18419i −0.0678029 0.997699i
\(4\) −0.310415 + 0.179218i −0.0388018 + 0.0224022i
\(5\) 11.0394 1.76941i 0.987397 0.158261i
\(6\) −14.2137 + 4.86305i −0.967118 + 0.330889i
\(7\) −18.7862 + 5.03374i −1.01436 + 0.271797i −0.727450 0.686161i \(-0.759294\pi\)
−0.286909 + 0.957958i \(0.592628\pi\)
\(8\) −15.6218 15.6218i −0.690390 0.690390i
\(9\) −26.7517 + 3.65293i −0.990806 + 0.135294i
\(10\) −13.2017 29.5046i −0.417475 0.933016i
\(11\) 49.0377 + 28.3119i 1.34413 + 0.776033i 0.987410 0.158179i \(-0.0505623\pi\)
0.356718 + 0.934212i \(0.383896\pi\)
\(12\) 1.03846 + 1.54611i 0.0249816 + 0.0371936i
\(13\) 2.30137 + 0.616650i 0.0490988 + 0.0131560i 0.283285 0.959036i \(-0.408576\pi\)
−0.234186 + 0.972192i \(0.575242\pi\)
\(14\) 28.1143 + 48.6954i 0.536705 + 0.929600i
\(15\) −13.0623 56.6072i −0.224845 0.974394i
\(16\) −33.3695 + 57.7977i −0.521399 + 0.903089i
\(17\) 92.5976 92.5976i 1.32107 1.32107i 0.408161 0.912910i \(-0.366170\pi\)
0.912910 0.408161i \(-0.133830\pi\)
\(18\) 30.2187 + 71.9731i 0.395700 + 0.942457i
\(19\) 21.7774i 0.262952i −0.991319 0.131476i \(-0.958028\pi\)
0.991319 0.131476i \(-0.0419716\pi\)
\(20\) −3.10969 + 2.52772i −0.0347674 + 0.0282607i
\(21\) 32.7146 + 95.6178i 0.339948 + 0.993596i
\(22\) 42.3700 158.127i 0.410605 1.53240i
\(23\) −26.4989 + 98.8952i −0.240235 + 0.896569i 0.735484 + 0.677542i \(0.236955\pi\)
−0.975719 + 0.219027i \(0.929712\pi\)
\(24\) −75.4824 + 86.4900i −0.641991 + 0.735612i
\(25\) 118.738 39.0667i 0.949907 0.312533i
\(26\) 6.88818i 0.0519571i
\(27\) 28.3625 + 137.399i 0.202162 + 0.979352i
\(28\) 4.92937 4.92937i 0.0332701 0.0332701i
\(29\) 40.6009 70.3228i 0.259979 0.450297i −0.706257 0.707956i \(-0.749618\pi\)
0.966236 + 0.257659i \(0.0829510\pi\)
\(30\) −148.306 + 78.8352i −0.902563 + 0.479776i
\(31\) 4.26447 + 7.38628i 0.0247071 + 0.0427940i 0.878115 0.478450i \(-0.158801\pi\)
−0.853407 + 0.521244i \(0.825468\pi\)
\(32\) 15.6566 + 4.19518i 0.0864914 + 0.0231753i
\(33\) 129.498 264.196i 0.683111 1.39365i
\(34\) −327.875 189.298i −1.65382 0.954836i
\(35\) −198.482 + 88.8102i −0.958560 + 0.428905i
\(36\) 7.64946 5.92832i 0.0354142 0.0274459i
\(37\) 8.92697 + 8.92697i 0.0396645 + 0.0396645i 0.726661 0.686996i \(-0.241071\pi\)
−0.686996 + 0.726661i \(0.741071\pi\)
\(38\) −60.8153 + 16.2954i −0.259619 + 0.0695648i
\(39\) 2.38603 12.1480i 0.00979667 0.0498778i
\(40\) −200.097 144.814i −0.790952 0.572428i
\(41\) −28.1572 + 16.2566i −0.107254 + 0.0619232i −0.552668 0.833402i \(-0.686390\pi\)
0.445413 + 0.895325i \(0.353057\pi\)
\(42\) 242.541 162.906i 0.891070 0.598499i
\(43\) 114.874 + 428.714i 0.407396 + 1.52042i 0.799593 + 0.600543i \(0.205049\pi\)
−0.392196 + 0.919882i \(0.628285\pi\)
\(44\) −20.2960 −0.0695395
\(45\) −288.861 + 87.6612i −0.956907 + 0.290395i
\(46\) 296.002 0.948762
\(47\) −37.5556 140.159i −0.116554 0.434986i 0.882844 0.469666i \(-0.155626\pi\)
−0.999398 + 0.0346799i \(0.988959\pi\)
\(48\) 311.391 + 152.631i 0.936363 + 0.458967i
\(49\) 30.5356 17.6297i 0.0890251 0.0513987i
\(50\) −197.945 302.354i −0.559874 0.855187i
\(51\) −512.667 447.420i −1.40760 1.22846i
\(52\) −0.824893 + 0.221029i −0.00219985 + 0.000589447i
\(53\) −82.9808 82.9808i −0.215062 0.215062i 0.591352 0.806414i \(-0.298595\pi\)
−0.806414 + 0.591352i \(0.798595\pi\)
\(54\) 362.476 182.017i 0.913459 0.458691i
\(55\) 591.444 + 225.780i 1.45000 + 0.553530i
\(56\) 372.109 + 214.837i 0.887950 + 0.512658i
\(57\) −112.898 + 7.67250i −0.262347 + 0.0178289i
\(58\) −226.763 60.7609i −0.513369 0.137557i
\(59\) 129.436 + 224.189i 0.285612 + 0.494695i 0.972757 0.231825i \(-0.0744698\pi\)
−0.687145 + 0.726520i \(0.741136\pi\)
\(60\) 14.1998 + 15.2307i 0.0305530 + 0.0327712i
\(61\) −282.613 + 489.500i −0.593195 + 1.02744i 0.400604 + 0.916251i \(0.368800\pi\)
−0.993799 + 0.111192i \(0.964533\pi\)
\(62\) 17.4358 17.4358i 0.0357153 0.0357153i
\(63\) 484.175 203.286i 0.968260 0.406534i
\(64\) 487.051i 0.951271i
\(65\) 26.4969 + 2.73539i 0.0505621 + 0.00521975i
\(66\) −834.688 163.944i −1.55671 0.305759i
\(67\) −116.526 + 434.879i −0.212476 + 0.792970i 0.774564 + 0.632495i \(0.217969\pi\)
−0.987040 + 0.160475i \(0.948698\pi\)
\(68\) −12.1485 + 45.3388i −0.0216650 + 0.0808549i
\(69\) 522.028 + 102.533i 0.910794 + 0.178892i
\(70\) 396.528 + 487.824i 0.677060 + 0.832945i
\(71\) 16.2978i 0.0272422i −0.999907 0.0136211i \(-0.995664\pi\)
0.999907 0.0136211i \(-0.00433587\pi\)
\(72\) 474.974 + 360.844i 0.777448 + 0.590637i
\(73\) 59.2407 59.2407i 0.0949809 0.0949809i −0.658020 0.753001i \(-0.728606\pi\)
0.753001 + 0.658020i \(0.228606\pi\)
\(74\) 18.2495 31.6091i 0.0286684 0.0496552i
\(75\) −244.362 601.799i −0.376220 0.926530i
\(76\) 3.90290 + 6.76003i 0.00589071 + 0.0102030i
\(77\) −1063.75 285.030i −1.57435 0.421846i
\(78\) −35.7097 + 2.42681i −0.0518375 + 0.00352284i
\(79\) −472.049 272.538i −0.672274 0.388138i 0.124663 0.992199i \(-0.460215\pi\)
−0.796938 + 0.604061i \(0.793548\pi\)
\(80\) −266.113 + 697.098i −0.371904 + 0.974224i
\(81\) 702.312 195.445i 0.963391 0.268100i
\(82\) 66.4671 + 66.4671i 0.0895129 + 0.0895129i
\(83\) −972.735 + 260.644i −1.28640 + 0.344691i −0.836294 0.548282i \(-0.815282\pi\)
−0.450110 + 0.892973i \(0.648615\pi\)
\(84\) −27.2915 23.8181i −0.0354494 0.0309377i
\(85\) 858.382 1186.07i 1.09535 1.51350i
\(86\) 1111.26 641.588i 1.39338 0.804467i
\(87\) −378.871 185.707i −0.466888 0.228849i
\(88\) −323.773 1208.34i −0.392208 1.46374i
\(89\) 844.831 1.00620 0.503101 0.864228i \(-0.332192\pi\)
0.503101 + 0.864228i \(0.332192\pi\)
\(90\) 460.947 + 741.074i 0.539868 + 0.867956i
\(91\) −46.3380 −0.0533796
\(92\) −9.49816 35.4476i −0.0107636 0.0401703i
\(93\) 36.7895 24.7101i 0.0410203 0.0275518i
\(94\) −363.305 + 209.754i −0.398639 + 0.230154i
\(95\) −38.5333 240.410i −0.0416150 0.259638i
\(96\) 16.2326 82.6450i 0.0172576 0.0878637i
\(97\) 393.261 105.374i 0.411645 0.110300i −0.0470524 0.998892i \(-0.514983\pi\)
0.458698 + 0.888592i \(0.348316\pi\)
\(98\) −72.0814 72.0814i −0.0742992 0.0742992i
\(99\) −1415.27 578.262i −1.43676 0.587046i
\(100\) −29.8567 + 33.4069i −0.0298567 + 0.0334069i
\(101\) −398.138 229.865i −0.392240 0.226460i 0.290890 0.956756i \(-0.406049\pi\)
−0.683130 + 0.730297i \(0.739382\pi\)
\(102\) −865.845 + 1766.46i −0.840504 + 1.71476i
\(103\) −1343.92 360.103i −1.28564 0.344485i −0.449635 0.893212i \(-0.648446\pi\)
−0.836001 + 0.548727i \(0.815113\pi\)
\(104\) −26.3182 45.5845i −0.0248146 0.0429801i
\(105\) 530.338 + 997.681i 0.492911 + 0.927273i
\(106\) −169.639 + 293.823i −0.155441 + 0.269232i
\(107\) −319.287 + 319.287i −0.288473 + 0.288473i −0.836476 0.548003i \(-0.815388\pi\)
0.548003 + 0.836476i \(0.315388\pi\)
\(108\) −33.4286 37.5677i −0.0297839 0.0334718i
\(109\) 1126.24i 0.989672i −0.868986 0.494836i \(-0.835228\pi\)
0.868986 0.494836i \(-0.164772\pi\)
\(110\) 187.949 1820.60i 0.162911 1.57807i
\(111\) 43.1341 49.4243i 0.0368838 0.0422625i
\(112\) 335.947 1253.77i 0.283429 1.05777i
\(113\) −390.853 + 1458.69i −0.325384 + 1.21435i 0.588541 + 0.808467i \(0.299703\pi\)
−0.913925 + 0.405883i \(0.866964\pi\)
\(114\) 105.905 + 309.537i 0.0870077 + 0.254305i
\(115\) −117.546 + 1138.64i −0.0953153 + 0.923289i
\(116\) 29.1056i 0.0232965i
\(117\) −63.8182 8.08972i −0.0504273 0.00639226i
\(118\) 529.215 529.215i 0.412866 0.412866i
\(119\) −1273.44 + 2205.67i −0.980977 + 1.69910i
\(120\) −680.247 + 1088.36i −0.517482 + 0.827944i
\(121\) 937.629 + 1624.02i 0.704455 + 1.22015i
\(122\) 1578.44 + 422.942i 1.17136 + 0.313864i
\(123\) 94.1974 + 140.245i 0.0690528 + 0.102809i
\(124\) −2.64751 1.52854i −0.00191736 0.00110699i
\(125\) 1241.68 641.371i 0.888474 0.458928i
\(126\) −929.988 1199.99i −0.657539 0.848440i
\(127\) −638.135 638.135i −0.445869 0.445869i 0.448110 0.893979i \(-0.352097\pi\)
−0.893979 + 0.448110i \(0.852097\pi\)
\(128\) 1485.38 398.007i 1.02571 0.274837i
\(129\) 2182.06 746.569i 1.48930 0.509548i
\(130\) −12.1880 76.0417i −0.00822279 0.0513023i
\(131\) 2261.94 1305.93i 1.50860 0.870992i 0.508653 0.860972i \(-0.330144\pi\)
0.999950 0.0100207i \(-0.00318975\pi\)
\(132\) 7.15058 + 105.218i 0.00471498 + 0.0693795i
\(133\) 109.622 + 409.115i 0.0714694 + 0.266727i
\(134\) 1301.63 0.839132
\(135\) 556.223 + 1466.63i 0.354608 + 0.935015i
\(136\) −2893.07 −1.82411
\(137\) 252.432 + 942.088i 0.157421 + 0.587504i 0.998886 + 0.0471916i \(0.0150271\pi\)
−0.841465 + 0.540312i \(0.818306\pi\)
\(138\) −104.286 1534.53i −0.0643288 0.946579i
\(139\) 1106.34 638.748i 0.675099 0.389769i −0.122907 0.992418i \(-0.539222\pi\)
0.798006 + 0.602649i \(0.205888\pi\)
\(140\) 45.6954 63.1396i 0.0275855 0.0381162i
\(141\) −713.382 + 244.075i −0.426082 + 0.145779i
\(142\) −45.5131 + 12.1952i −0.0268970 + 0.00720703i
\(143\) 95.3952 + 95.3952i 0.0557856 + 0.0557856i
\(144\) 681.562 1668.09i 0.394422 0.965327i
\(145\) 323.781 848.164i 0.185438 0.485767i
\(146\) −209.763 121.107i −0.118905 0.0686497i
\(147\) −102.154 152.091i −0.0573165 0.0853352i
\(148\) −4.37094 1.17119i −0.00242763 0.000650480i
\(149\) −69.6092 120.567i −0.0382725 0.0662900i 0.846255 0.532779i \(-0.178852\pi\)
−0.884527 + 0.466489i \(0.845519\pi\)
\(150\) −1497.73 + 1132.71i −0.815258 + 0.616570i
\(151\) 706.994 1224.55i 0.381022 0.659950i −0.610186 0.792258i \(-0.708905\pi\)
0.991209 + 0.132308i \(0.0422388\pi\)
\(152\) −340.201 + 340.201i −0.181539 + 0.181539i
\(153\) −2138.89 + 2815.40i −1.13019 + 1.48766i
\(154\) 3183.88i 1.66600i
\(155\) 60.1467 + 73.9947i 0.0311684 + 0.0383445i
\(156\) 1.43648 + 4.19853i 0.000737247 + 0.00215482i
\(157\) −614.674 + 2293.99i −0.312461 + 1.16612i 0.613870 + 0.789407i \(0.289612\pi\)
−0.926330 + 0.376712i \(0.877055\pi\)
\(158\) −407.864 + 1522.17i −0.205367 + 0.766438i
\(159\) −400.953 + 459.424i −0.199985 + 0.229149i
\(160\) 180.263 + 18.6094i 0.0890691 + 0.00919500i
\(161\) 1991.25i 0.974738i
\(162\) −1071.32 1815.02i −0.519571 0.880256i
\(163\) 940.543 940.543i 0.451957 0.451957i −0.444046 0.896004i \(-0.646457\pi\)
0.896004 + 0.444046i \(0.146457\pi\)
\(164\) 5.82694 10.0926i 0.00277444 0.00480547i
\(165\) 962.112 3145.71i 0.453941 1.48420i
\(166\) 1455.74 + 2521.41i 0.680646 + 1.17891i
\(167\) −3634.62 973.893i −1.68416 0.451270i −0.715290 0.698828i \(-0.753705\pi\)
−0.968873 + 0.247558i \(0.920372\pi\)
\(168\) 982.659 2004.78i 0.451273 0.920666i
\(169\) −1897.74 1095.66i −0.863788 0.498708i
\(170\) −3954.50 1509.60i −1.78409 0.681066i
\(171\) 79.5514 + 582.584i 0.0355757 + 0.260534i
\(172\) −112.492 112.492i −0.0498686 0.0498686i
\(173\) 4215.81 1129.62i 1.85273 0.496437i 0.853052 0.521826i \(-0.174749\pi\)
0.999678 + 0.0253882i \(0.00808217\pi\)
\(174\) −235.105 + 1196.99i −0.102432 + 0.521515i
\(175\) −2033.99 + 1331.61i −0.878601 + 0.575202i
\(176\) −3272.73 + 1889.51i −1.40165 + 0.809245i
\(177\) 1116.64 750.006i 0.474191 0.318497i
\(178\) −632.163 2359.26i −0.266194 0.993451i
\(179\) −2857.68 −1.19326 −0.596628 0.802518i \(-0.703493\pi\)
−0.596628 + 0.802518i \(0.703493\pi\)
\(180\) 73.9561 78.9803i 0.0306242 0.0327047i
\(181\) −1459.11 −0.599199 −0.299599 0.954065i \(-0.596853\pi\)
−0.299599 + 0.954065i \(0.596853\pi\)
\(182\) 34.6734 + 129.403i 0.0141218 + 0.0527031i
\(183\) 2637.23 + 1292.66i 1.06530 + 0.522166i
\(184\) 1958.88 1130.96i 0.784838 0.453127i
\(185\) 114.344 + 82.7532i 0.0454419 + 0.0328872i
\(186\) −96.5336 84.2478i −0.0380548 0.0332116i
\(187\) 7162.38 1919.15i 2.80088 0.750495i
\(188\) 36.7768 + 36.7768i 0.0142672 + 0.0142672i
\(189\) −1224.46 2438.44i −0.471249 0.938468i
\(190\) −642.533 + 287.499i −0.245338 + 0.109776i
\(191\) 610.123 + 352.255i 0.231136 + 0.133446i 0.611096 0.791557i \(-0.290729\pi\)
−0.379960 + 0.925003i \(0.624062\pi\)
\(192\) 2524.96 171.595i 0.949081 0.0644989i
\(193\) −1480.98 396.828i −0.552349 0.148001i −0.0281599 0.999603i \(-0.508965\pi\)
−0.524189 + 0.851602i \(0.675631\pi\)
\(194\) −588.531 1019.37i −0.217804 0.377248i
\(195\) 4.84558 138.329i 0.00177948 0.0507997i
\(196\) −6.31913 + 10.9451i −0.00230289 + 0.00398872i
\(197\) 989.475 989.475i 0.357854 0.357854i −0.505168 0.863021i \(-0.668569\pi\)
0.863021 + 0.505168i \(0.168569\pi\)
\(198\) −555.844 + 4384.94i −0.199506 + 1.57386i
\(199\) 2035.66i 0.725146i 0.931955 + 0.362573i \(0.118102\pi\)
−0.931955 + 0.362573i \(0.881898\pi\)
\(200\) −2465.19 1244.61i −0.871577 0.440037i
\(201\) 2295.55 + 450.877i 0.805551 + 0.158221i
\(202\) −344.003 + 1283.84i −0.119822 + 0.447180i
\(203\) −408.749 + 1525.47i −0.141323 + 0.527424i
\(204\) 239.325 + 47.0066i 0.0821378 + 0.0161330i
\(205\) −282.075 + 229.285i −0.0961024 + 0.0781169i
\(206\) 4022.47i 1.36048i
\(207\) 347.634 2742.42i 0.116726 0.920828i
\(208\) −112.436 + 112.436i −0.0374811 + 0.0374811i
\(209\) 616.560 1067.91i 0.204059 0.353441i
\(210\) 2389.27 2227.55i 0.785121 0.731978i
\(211\) −688.380 1192.31i −0.224597 0.389014i 0.731601 0.681733i \(-0.238773\pi\)
−0.956199 + 0.292719i \(0.905440\pi\)
\(212\) 40.6301 + 10.8868i 0.0131627 + 0.00352693i
\(213\) −84.4912 + 5.74196i −0.0271795 + 0.00184710i
\(214\) 1130.55 + 652.723i 0.361134 + 0.208501i
\(215\) 2026.71 + 4529.50i 0.642886 + 1.43679i
\(216\) 1703.35 2589.49i 0.536565 0.815706i
\(217\) −117.294 117.294i −0.0366932 0.0366932i
\(218\) −3145.12 + 842.733i −0.977131 + 0.261821i
\(219\) −327.987 286.244i −0.101202 0.0883223i
\(220\) −224.057 + 35.9120i −0.0686631 + 0.0110054i
\(221\) 270.201 156.001i 0.0822430 0.0474830i
\(222\) −170.297 83.4728i −0.0514847 0.0252357i
\(223\) 1017.06 + 3795.71i 0.305413 + 1.13982i 0.932589 + 0.360940i \(0.117544\pi\)
−0.627176 + 0.778878i \(0.715789\pi\)
\(224\) −315.246 −0.0940323
\(225\) −3033.75 + 1478.84i −0.898889 + 0.438176i
\(226\) 4365.96 1.28504
\(227\) −233.869 872.812i −0.0683809 0.255201i 0.923270 0.384151i \(-0.125506\pi\)
−0.991651 + 0.128950i \(0.958839\pi\)
\(228\) 33.6703 22.6151i 0.00978012 0.00656895i
\(229\) −3128.15 + 1806.04i −0.902682 + 0.521164i −0.878069 0.478533i \(-0.841169\pi\)
−0.0246126 + 0.999697i \(0.507835\pi\)
\(230\) 3267.69 523.749i 0.936805 0.150152i
\(231\) −1102.88 + 5615.09i −0.314130 + 1.59933i
\(232\) −1732.82 + 464.308i −0.490368 + 0.131394i
\(233\) −2992.27 2992.27i −0.841332 0.841332i 0.147700 0.989032i \(-0.452813\pi\)
−0.989032 + 0.147700i \(0.952813\pi\)
\(234\) 25.1621 + 184.271i 0.00702947 + 0.0514794i
\(235\) −662.592 1480.83i −0.183927 0.411058i
\(236\) −80.3575 46.3945i −0.0221645 0.0127967i
\(237\) −1246.58 + 2543.21i −0.341662 + 0.697044i
\(238\) 7112.39 + 1905.76i 1.93709 + 0.519042i
\(239\) −1931.06 3344.69i −0.522635 0.905230i −0.999653 0.0263367i \(-0.991616\pi\)
0.477018 0.878893i \(-0.341718\pi\)
\(240\) 3707.65 + 1133.98i 0.997199 + 0.304993i
\(241\) 858.250 1486.53i 0.229397 0.397328i −0.728232 0.685330i \(-0.759658\pi\)
0.957630 + 0.288003i \(0.0929912\pi\)
\(242\) 3833.62 3833.62i 1.01832 1.01832i
\(243\) −1260.66 3572.07i −0.332803 0.942996i
\(244\) 202.597i 0.0531556i
\(245\) 305.902 248.653i 0.0797687 0.0648401i
\(246\) 321.161 367.996i 0.0832377 0.0953762i
\(247\) 13.4290 50.1178i 0.00345939 0.0129106i
\(248\) 48.7681 182.005i 0.0124870 0.0466021i
\(249\) 1693.94 + 4951.02i 0.431120 + 1.26007i
\(250\) −2720.20 2987.58i −0.688161 0.755803i
\(251\) 2285.88i 0.574836i 0.957805 + 0.287418i \(0.0927968\pi\)
−0.957805 + 0.287418i \(0.907203\pi\)
\(252\) −113.863 + 149.876i −0.0284630 + 0.0374655i
\(253\) −4099.36 + 4099.36i −1.01867 + 1.01867i
\(254\) −1304.55 + 2259.54i −0.322262 + 0.558175i
\(255\) −6451.23 4032.15i −1.58428 0.990208i
\(256\) −274.734 475.854i −0.0670738 0.116175i
\(257\) 3690.98 + 988.996i 0.895865 + 0.240046i 0.677239 0.735763i \(-0.263176\pi\)
0.218625 + 0.975809i \(0.429843\pi\)
\(258\) −3717.63 5534.96i −0.897091 1.33563i
\(259\) −212.640 122.768i −0.0510147 0.0294533i
\(260\) −8.71526 + 3.89962i −0.00207884 + 0.000930169i
\(261\) −829.260 + 2029.57i −0.196666 + 0.481330i
\(262\) −5339.48 5339.48i −1.25906 1.25906i
\(263\) 4764.50 1276.64i 1.11708 0.299320i 0.347378 0.937725i \(-0.387072\pi\)
0.769701 + 0.638405i \(0.220405\pi\)
\(264\) −6150.18 + 2104.21i −1.43378 + 0.490551i
\(265\) −1062.89 769.234i −0.246388 0.178316i
\(266\) 1060.46 612.257i 0.244440 0.141127i
\(267\) −297.646 4379.77i −0.0682234 1.00389i
\(268\) −41.7669 155.876i −0.00951986 0.0355286i
\(269\) 6569.52 1.48904 0.744518 0.667602i \(-0.232679\pi\)
0.744518 + 0.667602i \(0.232679\pi\)
\(270\) 3679.47 2650.73i 0.829354 0.597475i
\(271\) −1603.65 −0.359465 −0.179733 0.983715i \(-0.557523\pi\)
−0.179733 + 0.983715i \(0.557523\pi\)
\(272\) 2261.99 + 8441.86i 0.504240 + 1.88185i
\(273\) 16.3255 + 240.225i 0.00361929 + 0.0532567i
\(274\) 2441.97 1409.87i 0.538412 0.310852i
\(275\) 6928.70 + 1445.97i 1.51933 + 0.317074i
\(276\) −180.421 + 61.7290i −0.0393481 + 0.0134625i
\(277\) −8497.59 + 2276.92i −1.84322 + 0.493888i −0.999106 0.0422830i \(-0.986537\pi\)
−0.844109 + 0.536171i \(0.819870\pi\)
\(278\) −2611.60 2611.60i −0.563430 0.563430i
\(279\) −141.064 182.018i −0.0302697 0.0390578i
\(280\) 4488.01 + 1713.27i 0.957893 + 0.365669i
\(281\) −5805.61 3351.87i −1.23250 0.711586i −0.264953 0.964261i \(-0.585356\pi\)
−0.967551 + 0.252675i \(0.918690\pi\)
\(282\) 1215.40 + 1809.54i 0.256653 + 0.382116i
\(283\) −1103.65 295.723i −0.231821 0.0621163i 0.141038 0.990004i \(-0.454956\pi\)
−0.372859 + 0.927888i \(0.621623\pi\)
\(284\) 2.92087 + 5.05909i 0.000610287 + 0.00105705i
\(285\) −1232.76 + 284.464i −0.256219 + 0.0591235i
\(286\) 195.018 337.781i 0.0403204 0.0698370i
\(287\) 447.135 447.135i 0.0919636 0.0919636i
\(288\) −434.167 55.0358i −0.0888316 0.0112605i
\(289\) 12235.6i 2.49046i
\(290\) −2610.85 269.529i −0.528669 0.0545769i
\(291\) −684.830 2001.62i −0.137957 0.403219i
\(292\) −7.77218 + 29.0062i −0.00155765 + 0.00581322i
\(293\) 1628.20 6076.51i 0.324642 1.21158i −0.590029 0.807382i \(-0.700884\pi\)
0.914671 0.404199i \(-0.132450\pi\)
\(294\) −348.289 + 399.080i −0.0690905 + 0.0791660i
\(295\) 1825.58 + 2245.90i 0.360303 + 0.443259i
\(296\) 278.910i 0.0547679i
\(297\) −2499.20 + 7540.74i −0.488278 + 1.47326i
\(298\) −284.606 + 284.606i −0.0553248 + 0.0553248i
\(299\) −121.967 + 211.254i −0.0235905 + 0.0408599i
\(300\) 183.707 + 143.013i 0.0353544 + 0.0275229i
\(301\) −4316.07 7475.65i −0.826492 1.43153i
\(302\) −3948.68 1058.05i −0.752388 0.201602i
\(303\) −1051.40 + 2145.01i −0.199344 + 0.406692i
\(304\) 1258.68 + 726.702i 0.237469 + 0.137103i
\(305\) −2253.76 + 5903.86i −0.423115 + 1.10837i
\(306\) 9462.71 + 3866.36i 1.76780 + 0.722304i
\(307\) 4998.67 + 4998.67i 0.929281 + 0.929281i 0.997659 0.0683782i \(-0.0217824\pi\)
−0.0683782 + 0.997659i \(0.521782\pi\)
\(308\) 381.285 102.165i 0.0705380 0.0189006i
\(309\) −1393.36 + 7094.02i −0.256523 + 1.30603i
\(310\) 161.630 223.333i 0.0296129 0.0409176i
\(311\) −2626.45 + 1516.38i −0.478882 + 0.276483i −0.719950 0.694025i \(-0.755835\pi\)
0.241068 + 0.970508i \(0.422502\pi\)
\(312\) −227.047 + 152.499i −0.0411987 + 0.0276717i
\(313\) 1115.49 + 4163.08i 0.201442 + 0.751793i 0.990505 + 0.137480i \(0.0439002\pi\)
−0.789062 + 0.614313i \(0.789433\pi\)
\(314\) 6866.12 1.23400
\(315\) 4985.33 3100.87i 0.891719 0.554649i
\(316\) 195.375 0.0347806
\(317\) −1248.69 4660.18i −0.221241 0.825684i −0.983876 0.178854i \(-0.942761\pi\)
0.762634 0.646830i \(-0.223906\pi\)
\(318\) 1583.00 + 775.922i 0.279152 + 0.136829i
\(319\) 3981.95 2298.98i 0.698891 0.403505i
\(320\) 861.794 + 5376.76i 0.150549 + 0.939282i
\(321\) 1767.74 + 1542.76i 0.307369 + 0.268250i
\(322\) −5560.74 + 1490.00i −0.962385 + 0.257870i
\(323\) −2016.54 2016.54i −0.347378 0.347378i
\(324\) −182.981 + 186.536i −0.0313753 + 0.0319849i
\(325\) 297.351 16.6868i 0.0507510 0.00284805i
\(326\) −3330.33 1922.77i −0.565797 0.326663i
\(327\) −5838.65 + 396.791i −0.987395 + 0.0671027i
\(328\) 693.821 + 185.909i 0.116798 + 0.0312960i
\(329\) 1411.05 + 2444.01i 0.236455 + 0.409553i
\(330\) −9504.57 332.939i −1.58548 0.0555385i
\(331\) 5632.10 9755.08i 0.935251 1.61990i 0.161065 0.986944i \(-0.448507\pi\)
0.774186 0.632958i \(-0.218160\pi\)
\(332\) 255.239 255.239i 0.0421930 0.0421930i
\(333\) −271.422 206.202i −0.0446661 0.0339334i
\(334\) 10878.7i 1.78221i
\(335\) −516.895 + 5007.00i −0.0843015 + 0.816603i
\(336\) −6618.16 1299.89i −1.07455 0.211057i
\(337\) −612.060 + 2284.24i −0.0989348 + 0.369230i −0.997587 0.0694329i \(-0.977881\pi\)
0.898652 + 0.438663i \(0.144548\pi\)
\(338\) −1639.70 + 6119.46i −0.263870 + 0.984777i
\(339\) 7699.81 + 1512.34i 1.23362 + 0.242299i
\(340\) −53.8894 + 522.010i −0.00859578 + 0.0832646i
\(341\) 482.941i 0.0766942i
\(342\) 1567.39 658.085i 0.247821 0.104050i
\(343\) 4232.18 4232.18i 0.666229 0.666229i
\(344\) 4902.73 8491.79i 0.768424 1.33095i
\(345\) 5944.32 + 208.226i 0.927627 + 0.0324942i
\(346\) −6309.14 10927.7i −0.980293 1.69792i
\(347\) −994.834 266.565i −0.153906 0.0412391i 0.181043 0.983475i \(-0.442053\pi\)
−0.334950 + 0.942236i \(0.608719\pi\)
\(348\) 150.889 10.2543i 0.0232429 0.00157957i
\(349\) 4729.47 + 2730.56i 0.725394 + 0.418807i 0.816735 0.577013i \(-0.195782\pi\)
−0.0913406 + 0.995820i \(0.529115\pi\)
\(350\) 5240.61 + 4683.68i 0.800350 + 0.715295i
\(351\) −19.4546 + 333.696i −0.00295843 + 0.0507447i
\(352\) 648.991 + 648.991i 0.0982708 + 0.0982708i
\(353\) −643.090 + 172.316i −0.0969638 + 0.0259814i −0.306975 0.951718i \(-0.599317\pi\)
0.210011 + 0.977699i \(0.432650\pi\)
\(354\) −2930.00 2557.10i −0.439909 0.383922i
\(355\) −28.8376 179.919i −0.00431139 0.0268989i
\(356\) −262.248 + 151.409i −0.0390425 + 0.0225412i
\(357\) 11883.3 + 5824.69i 1.76171 + 0.863516i
\(358\) 2138.31 + 7980.30i 0.315680 + 1.17813i
\(359\) −6703.88 −0.985563 −0.492781 0.870153i \(-0.664020\pi\)
−0.492781 + 0.870153i \(0.664020\pi\)
\(360\) 5881.93 + 3143.09i 0.861125 + 0.460154i
\(361\) 6384.74 0.930856
\(362\) 1091.81 + 4074.69i 0.158520 + 0.591605i
\(363\) 8088.90 5433.02i 1.16958 0.785563i
\(364\) 14.3840 8.30460i 0.00207122 0.00119582i
\(365\) 549.163 758.806i 0.0787521 0.108816i
\(366\) 1636.51 8331.95i 0.233720 1.18994i
\(367\) −3154.29 + 845.191i −0.448645 + 0.120214i −0.476065 0.879410i \(-0.657937\pi\)
0.0274202 + 0.999624i \(0.491271\pi\)
\(368\) −4831.66 4831.66i −0.684423 0.684423i
\(369\) 693.871 537.748i 0.0978901 0.0758646i
\(370\) 145.535 381.238i 0.0204487 0.0535665i
\(371\) 1976.60 + 1141.19i 0.276603 + 0.159697i
\(372\) −6.99149 + 14.2637i −0.000974440 + 0.00198801i
\(373\) −4082.74 1093.97i −0.566747 0.151859i −0.0359425 0.999354i \(-0.511443\pi\)
−0.530804 + 0.847495i \(0.678110\pi\)
\(374\) −10718.8 18565.5i −1.48197 2.56684i
\(375\) −3762.45 6211.14i −0.518113 0.855312i
\(376\) −1602.85 + 2776.22i −0.219842 + 0.380778i
\(377\) 136.802 136.802i 0.0186888 0.0186888i
\(378\) −5893.32 + 5244.01i −0.801904 + 0.713553i
\(379\) 2005.61i 0.271824i −0.990721 0.135912i \(-0.956604\pi\)
0.990721 0.135912i \(-0.0433965\pi\)
\(380\) 55.0472 + 67.7211i 0.00743121 + 0.00914215i
\(381\) −3083.39 + 3533.04i −0.414612 + 0.475074i
\(382\) 527.164 1967.40i 0.0706074 0.263511i
\(383\) 303.630 1133.16i 0.0405085 0.151180i −0.942709 0.333615i \(-0.891731\pi\)
0.983218 + 0.182435i \(0.0583980\pi\)
\(384\) −2586.67 7560.29i −0.343751 1.00471i
\(385\) −12247.5 1264.36i −1.62127 0.167371i
\(386\) 4432.70i 0.584504i
\(387\) −4639.13 11049.2i −0.609355 1.45133i
\(388\) −103.189 + 103.189i −0.0135016 + 0.0135016i
\(389\) −5874.10 + 10174.2i −0.765627 + 1.32610i 0.174288 + 0.984695i \(0.444238\pi\)
−0.939915 + 0.341410i \(0.889096\pi\)
\(390\) −389.921 + 89.9758i −0.0506267 + 0.0116823i
\(391\) 6703.72 + 11611.2i 0.867064 + 1.50180i
\(392\) −752.427 201.612i −0.0969472 0.0259769i
\(393\) −7567.13 11266.3i −0.971276 1.44608i
\(394\) −3503.59 2022.80i −0.447990 0.258647i
\(395\) −5693.39 2173.41i −0.725229 0.276851i
\(396\) 542.954 74.1400i 0.0689001 0.00940826i
\(397\) 10419.9 + 10419.9i 1.31728 + 1.31728i 0.915919 + 0.401363i \(0.131463\pi\)
0.401363 + 0.915919i \(0.368537\pi\)
\(398\) 5684.75 1523.22i 0.715957 0.191840i
\(399\) 2082.31 712.439i 0.261268 0.0893898i
\(400\) −1704.28 + 8166.44i −0.213035 + 1.02080i
\(401\) −4827.90 + 2787.39i −0.601231 + 0.347121i −0.769526 0.638616i \(-0.779507\pi\)
0.168295 + 0.985737i \(0.446174\pi\)
\(402\) −458.583 6747.90i −0.0568956 0.837201i
\(403\) 5.25937 + 19.6282i 0.000650093 + 0.00242618i
\(404\) 164.784 0.0202928
\(405\) 7407.31 3400.28i 0.908820 0.417188i
\(406\) 4565.86 0.558128
\(407\) 185.018 + 690.498i 0.0225332 + 0.0840951i
\(408\) 1019.27 + 14998.2i 0.123680 + 1.81991i
\(409\) −8856.21 + 5113.13i −1.07069 + 0.618162i −0.928369 0.371659i \(-0.878789\pi\)
−0.142318 + 0.989821i \(0.545456\pi\)
\(410\) 851.367 + 616.151i 0.102551 + 0.0742184i
\(411\) 4795.03 1640.57i 0.575478 0.196893i
\(412\) 481.710 129.074i 0.0576023 0.0154345i
\(413\) −3560.12 3560.12i −0.424169 0.424169i
\(414\) −7918.56 + 1081.27i −0.940039 + 0.128362i
\(415\) −10277.3 + 4598.53i −1.21564 + 0.543935i
\(416\) 33.4447 + 19.3093i 0.00394173 + 0.00227576i
\(417\) −3701.17 5510.46i −0.434646 0.647118i
\(418\) −3443.59 922.708i −0.402947 0.107969i
\(419\) 4387.14 + 7598.75i 0.511517 + 0.885974i 0.999911 + 0.0133505i \(0.00424974\pi\)
−0.488394 + 0.872623i \(0.662417\pi\)
\(420\) −343.427 214.649i −0.0398989 0.0249376i
\(421\) −6005.42 + 10401.7i −0.695217 + 1.20415i 0.274891 + 0.961475i \(0.411358\pi\)
−0.970108 + 0.242675i \(0.921975\pi\)
\(422\) −2814.53 + 2814.53i −0.324666 + 0.324666i
\(423\) 1516.67 + 3612.32i 0.174333 + 0.415217i
\(424\) 2592.61i 0.296954i
\(425\) 7377.40 14612.4i 0.842016 1.66777i
\(426\) 79.2572 + 231.652i 0.00901414 + 0.0263464i
\(427\) 2845.20 10618.4i 0.322457 1.20342i
\(428\) 41.8894 156.333i 0.00473084 0.0176557i
\(429\) 460.938 528.156i 0.0518748 0.0594397i
\(430\) 11132.5 9049.05i 1.24850 1.01485i
\(431\) 4099.38i 0.458145i 0.973409 + 0.229072i \(0.0735692\pi\)
−0.973409 + 0.229072i \(0.926431\pi\)
\(432\) −8887.80 2945.66i −0.989849 0.328063i
\(433\) 4324.33 4324.33i 0.479940 0.479940i −0.425172 0.905112i \(-0.639787\pi\)
0.905112 + 0.425172i \(0.139787\pi\)
\(434\) −239.785 + 415.320i −0.0265209 + 0.0459355i
\(435\) −4511.12 1379.72i −0.497222 0.152075i
\(436\) 201.843 + 349.602i 0.0221709 + 0.0384011i
\(437\) 2153.68 + 577.078i 0.235754 + 0.0631702i
\(438\) −553.938 + 1130.12i −0.0604296 + 0.123286i
\(439\) 10469.7 + 6044.67i 1.13825 + 0.657167i 0.945996 0.324179i \(-0.105088\pi\)
0.192251 + 0.981346i \(0.438421\pi\)
\(440\) −5712.31 12766.5i −0.618918 1.38322i
\(441\) −752.481 + 583.171i −0.0812526 + 0.0629706i
\(442\) −637.829 637.829i −0.0686390 0.0686390i
\(443\) 8924.79 2391.39i 0.957177 0.256475i 0.253772 0.967264i \(-0.418329\pi\)
0.703405 + 0.710789i \(0.251662\pi\)
\(444\) −4.53173 + 23.0724i −0.000484383 + 0.00246614i
\(445\) 9326.46 1494.86i 0.993521 0.159243i
\(446\) 9838.80 5680.43i 1.04458 0.603086i
\(447\) −600.517 + 403.345i −0.0635424 + 0.0426791i
\(448\) −2451.69 9149.82i −0.258552 0.964930i
\(449\) 702.553 0.0738431 0.0369215 0.999318i \(-0.488245\pi\)
0.0369215 + 0.999318i \(0.488245\pi\)
\(450\) 6399.86 + 7365.43i 0.670428 + 0.771577i
\(451\) −1841.02 −0.192218
\(452\) −140.096 522.845i −0.0145787 0.0544083i
\(453\) −6597.39 3233.77i −0.684266 0.335399i
\(454\) −2262.40 + 1306.20i −0.233876 + 0.135029i
\(455\) −511.545 + 81.9910i −0.0527068 + 0.00844791i
\(456\) 1883.53 + 1643.81i 0.193430 + 0.168813i
\(457\) 4386.55 1175.37i 0.449002 0.120310i −0.0272303 0.999629i \(-0.508669\pi\)
0.476232 + 0.879319i \(0.342002\pi\)
\(458\) 7384.22 + 7384.22i 0.753367 + 0.753367i
\(459\) 15349.1 + 10096.5i 1.56086 + 1.02672i
\(460\) −167.576 374.515i −0.0169853 0.0379606i
\(461\) −7776.73 4489.90i −0.785680 0.453613i 0.0527593 0.998607i \(-0.483198\pi\)
−0.838440 + 0.544995i \(0.816532\pi\)
\(462\) 16505.9 1121.73i 1.66217 0.112960i
\(463\) 6607.21 + 1770.40i 0.663204 + 0.177705i 0.574691 0.818370i \(-0.305122\pi\)
0.0885123 + 0.996075i \(0.471789\pi\)
\(464\) 2709.66 + 4693.27i 0.271106 + 0.469569i
\(465\) 362.413 337.882i 0.0361430 0.0336965i
\(466\) −6117.14 + 10595.2i −0.608093 + 1.05325i
\(467\) 1646.02 1646.02i 0.163102 0.163102i −0.620837 0.783939i \(-0.713207\pi\)
0.783939 + 0.620837i \(0.213207\pi\)
\(468\) 21.2599 8.92620i 0.00209987 0.000881653i
\(469\) 8756.28i 0.862106i
\(470\) −3639.54 + 2958.40i −0.357190 + 0.290343i
\(471\) 12109.1 + 2378.38i 1.18462 + 0.232675i
\(472\) 1480.22 5524.25i 0.144349 0.538716i
\(473\) −6504.58 + 24275.4i −0.632306 + 2.35980i
\(474\) 8034.92 + 1578.16i 0.778599 + 0.152927i
\(475\) −850.771 2585.81i −0.0821811 0.249780i
\(476\) 912.895i 0.0879044i
\(477\) 2523.00 + 1916.76i 0.242181 + 0.183988i
\(478\) −7895.37 + 7895.37i −0.755494 + 0.755494i
\(479\) −7066.68 + 12239.8i −0.674081 + 1.16754i 0.302656 + 0.953100i \(0.402127\pi\)
−0.976737 + 0.214442i \(0.931207\pi\)
\(480\) 32.9653 941.076i 0.00313470 0.0894876i
\(481\) 15.0394 + 26.0491i 0.00142565 + 0.00246930i
\(482\) −4793.47 1284.41i −0.452980 0.121376i
\(483\) −10323.0 + 701.547i −0.972494 + 0.0660901i
\(484\) −582.107 336.080i −0.0546682 0.0315627i
\(485\) 4154.93 1859.11i 0.389001 0.174057i
\(486\) −9031.98 + 6193.36i −0.843002 + 0.578059i
\(487\) −6660.19 6660.19i −0.619717 0.619717i 0.325742 0.945459i \(-0.394386\pi\)
−0.945459 + 0.325742i \(0.894386\pi\)
\(488\) 12061.8 3231.94i 1.11887 0.299801i
\(489\) −5207.33 4544.59i −0.481561 0.420273i
\(490\) −923.280 668.197i −0.0851215 0.0616042i
\(491\) −4778.58 + 2758.92i −0.439215 + 0.253581i −0.703264 0.710928i \(-0.748275\pi\)
0.264050 + 0.964509i \(0.414942\pi\)
\(492\) −54.3747 26.6522i −0.00498252 0.00244223i
\(493\) −2752.18 10271.3i −0.251424 0.938325i
\(494\) −150.007 −0.0136622
\(495\) −16646.9 3879.50i −1.51156 0.352264i
\(496\) −569.213 −0.0515291
\(497\) 82.0392 + 306.174i 0.00740435 + 0.0276334i
\(498\) 12558.6 8435.16i 1.13005 0.759013i
\(499\) −4628.28 + 2672.14i −0.415211 + 0.239722i −0.693026 0.720913i \(-0.743723\pi\)
0.277816 + 0.960634i \(0.410390\pi\)
\(500\) −270.490 + 421.622i −0.0241934 + 0.0377110i
\(501\) −3768.32 + 19185.7i −0.336040 + 1.71088i
\(502\) 6383.52 1710.46i 0.567551 0.152075i
\(503\) 3380.78 + 3380.78i 0.299685 + 0.299685i 0.840890 0.541205i \(-0.182032\pi\)
−0.541205 + 0.840890i \(0.682032\pi\)
\(504\) −10739.4 4387.98i −0.949145 0.387810i
\(505\) −4801.95 1833.11i −0.423136 0.161529i
\(506\) 14515.2 + 8380.37i 1.27526 + 0.736271i
\(507\) −5011.52 + 10224.3i −0.438993 + 0.895614i
\(508\) 312.452 + 83.7212i 0.0272890 + 0.00731206i
\(509\) −6234.51 10798.5i −0.542908 0.940344i −0.998735 0.0502756i \(-0.983990\pi\)
0.455828 0.890068i \(-0.349343\pi\)
\(510\) −6432.85 + 21032.7i −0.558532 + 1.82617i
\(511\) −814.705 + 1411.11i −0.0705292 + 0.122160i
\(512\) 7575.72 7575.72i 0.653911 0.653911i
\(513\) 2992.20 617.663i 0.257522 0.0531588i
\(514\) 11047.4i 0.948017i
\(515\) −15473.3 1597.38i −1.32395 0.136678i
\(516\) −543.546 + 622.811i −0.0463726 + 0.0531351i
\(517\) 2126.54 7936.35i 0.180900 0.675127i
\(518\) −183.727 + 685.678i −0.0155840 + 0.0581602i
\(519\) −7341.48 21457.6i −0.620916 1.81481i
\(520\) −371.197 456.660i −0.0313039 0.0385113i
\(521\) 16543.1i 1.39111i −0.718473 0.695555i \(-0.755159\pi\)
0.718473 0.695555i \(-0.244841\pi\)
\(522\) 6288.26 + 797.112i 0.527260 + 0.0668365i
\(523\) −937.744 + 937.744i −0.0784029 + 0.0784029i −0.745221 0.666818i \(-0.767656\pi\)
0.666818 + 0.745221i \(0.267656\pi\)
\(524\) −468.094 + 810.762i −0.0390244 + 0.0675922i
\(525\) 7619.94 + 10075.5i 0.633450 + 0.837579i
\(526\) −7130.27 12350.0i −0.591054 1.02374i
\(527\) 1078.83 + 289.072i 0.0891738 + 0.0238940i
\(528\) 10948.6 + 16300.7i 0.902419 + 1.34356i
\(529\) 1458.85 + 842.270i 0.119903 + 0.0692258i
\(530\) −1352.82 + 3543.80i −0.110873 + 0.290439i
\(531\) −4281.58 5524.64i −0.349915 0.451505i
\(532\) −107.349 107.349i −0.00874843 0.00874843i
\(533\) −74.8247 + 20.0492i −0.00608071 + 0.00162932i
\(534\) −12008.2 + 4108.46i −0.973116 + 0.332941i
\(535\) −2959.80 + 4089.70i −0.239184 + 0.330492i
\(536\) 8613.91 4973.24i 0.694150 0.400768i
\(537\) 1006.80 + 14814.7i 0.0809062 + 1.19051i
\(538\) −4915.78 18345.9i −0.393930 1.47017i
\(539\) 1996.53 0.159548
\(540\) −435.505 355.577i −0.0347059 0.0283363i
\(541\) −946.946 −0.0752540 −0.0376270 0.999292i \(-0.511980\pi\)
−0.0376270 + 0.999292i \(0.511980\pi\)
\(542\) 1199.97 + 4478.34i 0.0950979 + 0.354910i
\(543\) 514.066 + 7564.32i 0.0406274 + 0.597820i
\(544\) 1838.23 1061.30i 0.144878 0.0836451i
\(545\) −1992.79 12433.1i −0.156627 0.977200i
\(546\) 658.633 225.344i 0.0516243 0.0176627i
\(547\) 11253.3 3015.33i 0.879631 0.235697i 0.209383 0.977834i \(-0.432854\pi\)
0.670248 + 0.742137i \(0.266188\pi\)
\(548\) −247.198 247.198i −0.0192696 0.0192696i
\(549\) 5772.28 14127.3i 0.448734 1.09825i
\(550\) −1146.55 20431.0i −0.0888890 1.58396i
\(551\) −1531.45 884.183i −0.118406 0.0683620i
\(552\) −6553.25 9756.74i −0.505298 0.752309i
\(553\) 10239.9 + 2743.77i 0.787422 + 0.210989i
\(554\) 12717.0 + 22026.5i 0.975259 + 1.68920i
\(555\) 388.724 621.938i 0.0297305 0.0475672i
\(556\) −228.950 + 396.553i −0.0174634 + 0.0302475i
\(557\) 1609.11 1609.11i 0.122406 0.122406i −0.643250 0.765656i \(-0.722414\pi\)
0.765656 + 0.643250i \(0.222414\pi\)
\(558\) −402.747 + 530.131i −0.0305549 + 0.0402190i
\(559\) 1057.46i 0.0800107i
\(560\) 1490.23 14435.4i 0.112453 1.08930i
\(561\) −12472.7 36455.0i −0.938676 2.74355i
\(562\) −5016.21 + 18720.8i −0.376506 + 1.40514i
\(563\) 4701.86 17547.6i 0.351971 1.31357i −0.532282 0.846567i \(-0.678665\pi\)
0.884253 0.467008i \(-0.154668\pi\)
\(564\) 177.701 203.615i 0.0132670 0.0152017i
\(565\) −1733.79 + 16794.6i −0.129099 + 1.25054i
\(566\) 3303.33i 0.245317i
\(567\) −12210.0 + 7206.92i −0.904356 + 0.533796i
\(568\) −254.601 + 254.601i −0.0188078 + 0.0188078i
\(569\) 149.738 259.354i 0.0110322 0.0191084i −0.860457 0.509524i \(-0.829822\pi\)
0.871489 + 0.490415i \(0.163155\pi\)
\(570\) 1716.83 + 3229.73i 0.126158 + 0.237330i
\(571\) 10802.7 + 18710.8i 0.791732 + 1.37132i 0.924894 + 0.380226i \(0.124154\pi\)
−0.133162 + 0.991094i \(0.542513\pi\)
\(572\) −46.7086 12.5155i −0.00341431 0.000914861i
\(573\) 1611.20 3287.10i 0.117468 0.239652i
\(574\) −1583.24 914.085i −0.115128 0.0664689i
\(575\) 717.070 + 12777.9i 0.0520068 + 0.926738i
\(576\) −1779.16 13029.5i −0.128701 0.942524i
\(577\) −6073.88 6073.88i −0.438231 0.438231i 0.453186 0.891416i \(-0.350288\pi\)
−0.891416 + 0.453186i \(0.850288\pi\)
\(578\) −34169.0 + 9155.55i −2.45890 + 0.658859i
\(579\) −1535.46 + 7817.50i −0.110210 + 0.561113i
\(580\) 51.4999 + 321.310i 0.00368693 + 0.0230029i
\(581\) 16962.0 9793.00i 1.21119 0.699281i
\(582\) −5077.24 + 3410.20i −0.361613 + 0.242882i
\(583\) −1719.84 6418.53i −0.122176 0.455966i
\(584\) −1850.89 −0.131148
\(585\) −718.831 + 23.6148i −0.0508034 + 0.00166898i
\(586\) −18187.5 −1.28211
\(587\) −2913.25 10872.4i −0.204843 0.764484i −0.989497 0.144551i \(-0.953826\pi\)
0.784654 0.619933i \(-0.212840\pi\)
\(588\) 58.9676 + 28.9035i 0.00413569 + 0.00202714i
\(589\) 160.854 92.8691i 0.0112528 0.00649678i
\(590\) 4905.83 6778.63i 0.342322 0.473003i
\(591\) −5478.24 4781.02i −0.381294 0.332767i
\(592\) −813.847 + 218.070i −0.0565015 + 0.0151395i
\(593\) 19651.0 + 19651.0i 1.36082 + 1.36082i 0.872870 + 0.487953i \(0.162256\pi\)
0.487953 + 0.872870i \(0.337744\pi\)
\(594\) 22928.2 + 1336.72i 1.58377 + 0.0923341i
\(595\) −10155.4 + 26602.6i −0.699712 + 1.83294i
\(596\) 43.2154 + 24.9504i 0.00297009 + 0.00171478i
\(597\) 10553.3 717.192i 0.723478 0.0491670i
\(598\) 681.209 + 182.529i 0.0465831 + 0.0124819i
\(599\) 1419.69 + 2458.97i 0.0968396 + 0.167731i 0.910375 0.413784i \(-0.135793\pi\)
−0.813535 + 0.581516i \(0.802460\pi\)
\(600\) −5583.79 + 13218.5i −0.379929 + 0.899407i
\(601\) −254.777 + 441.286i −0.0172921 + 0.0299508i −0.874542 0.484950i \(-0.838838\pi\)
0.857250 + 0.514901i \(0.172171\pi\)
\(602\) −17646.8 + 17646.8i −1.19473 + 1.19473i
\(603\) 1528.68 12059.4i 0.103238 0.814425i
\(604\) 506.824i 0.0341430i
\(605\) 13224.5 + 16269.2i 0.888679 + 1.09329i
\(606\) 6776.85 + 1331.06i 0.454275 + 0.0892257i
\(607\) −885.947 + 3306.40i −0.0592413 + 0.221092i −0.989200 0.146573i \(-0.953176\pi\)
0.929959 + 0.367664i \(0.119842\pi\)
\(608\) 91.3602 340.961i 0.00609399 0.0227431i
\(609\) 8052.35 + 1581.59i 0.535793 + 0.105237i
\(610\) 18173.5 + 1876.13i 1.20627 + 0.124528i
\(611\) 345.717i 0.0228907i
\(612\) 159.374 1257.27i 0.0105266 0.0830426i
\(613\) −6435.77 + 6435.77i −0.424043 + 0.424043i −0.886593 0.462550i \(-0.846934\pi\)
0.462550 + 0.886593i \(0.346934\pi\)
\(614\) 10218.9 17699.6i 0.671660 1.16335i
\(615\) 1288.04 + 1381.55i 0.0844532 + 0.0905847i
\(616\) 12164.9 + 21070.2i 0.795679 + 1.37816i
\(617\) 2076.34 + 556.352i 0.135478 + 0.0363013i 0.325921 0.945397i \(-0.394326\pi\)
−0.190443 + 0.981698i \(0.560992\pi\)
\(618\) 20853.3 1417.17i 1.35735 0.0922444i
\(619\) −16359.4 9445.11i −1.06226 0.613297i −0.136205 0.990681i \(-0.543491\pi\)
−0.926057 + 0.377383i \(0.876824\pi\)
\(620\) −31.9316 12.1897i −0.00206839 0.000789595i
\(621\) −14339.7 836.011i −0.926623 0.0540225i
\(622\) 6199.92 + 6199.92i 0.399669 + 0.399669i
\(623\) −15871.2 + 4252.66i −1.02065 + 0.273482i
\(624\) 622.505 + 543.279i 0.0399361 + 0.0348535i
\(625\) 12572.6 9277.42i 0.804646 0.593755i
\(626\) 10791.1 6230.22i 0.688974 0.397779i
\(627\) −5753.50 2820.13i −0.366463 0.179625i
\(628\) −220.321 822.250i −0.0139996 0.0522474i
\(629\) 1653.23 0.104799
\(630\) −12389.8 11601.7i −0.783527 0.733684i
\(631\) 865.068 0.0545766 0.0272883 0.999628i \(-0.491313\pi\)
0.0272883 + 0.999628i \(0.491313\pi\)
\(632\) 3116.72 + 11631.8i 0.196165 + 0.732099i
\(633\) −5938.64 + 3988.77i −0.372891 + 0.250457i
\(634\) −12079.6 + 6974.16i −0.756691 + 0.436876i
\(635\) −8173.78 5915.53i −0.510813 0.369686i
\(636\) 42.1247 214.470i 0.00262634 0.0133715i
\(637\) 81.1450 21.7427i 0.00504723 0.00135240i
\(638\) −9399.66 9399.66i −0.583286 0.583286i
\(639\) 59.5349 + 435.996i 0.00368570 + 0.0269917i
\(640\) 15693.5 7022.03i 0.969284 0.433703i
\(641\) 6830.18 + 3943.41i 0.420867 + 0.242988i 0.695448 0.718576i \(-0.255206\pi\)
−0.274581 + 0.961564i \(0.588539\pi\)
\(642\) 2985.53 6090.95i 0.183535 0.374440i
\(643\) −6866.75 1839.94i −0.421148 0.112846i 0.0420200 0.999117i \(-0.486621\pi\)
−0.463168 + 0.886270i \(0.653287\pi\)
\(644\) 356.868 + 618.114i 0.0218363 + 0.0378216i
\(645\) 22767.8 12102.7i 1.38989 0.738825i
\(646\) −4122.43 + 7140.26i −0.251076 + 0.434876i
\(647\) 1933.74 1933.74i 0.117501 0.117501i −0.645911 0.763412i \(-0.723522\pi\)
0.763412 + 0.645911i \(0.223522\pi\)
\(648\) −14024.5 7918.16i −0.850210 0.480023i
\(649\) 14658.3i 0.886578i
\(650\) −269.098 817.892i −0.0162383 0.0493544i
\(651\) −566.749 + 649.398i −0.0341208 + 0.0390966i
\(652\) −123.396 + 460.521i −0.00741191 + 0.0276616i
\(653\) −1669.93 + 6232.28i −0.100076 + 0.373488i −0.997740 0.0671918i \(-0.978596\pi\)
0.897664 + 0.440680i \(0.145263\pi\)
\(654\) 5476.96 + 16008.0i 0.327471 + 0.957130i
\(655\) 22659.9 18419.1i 1.35175 1.09877i
\(656\) 2169.90i 0.129147i
\(657\) −1368.39 + 1801.20i −0.0812572 + 0.106958i
\(658\) 5769.26 5769.26i 0.341807 0.341807i
\(659\) 3849.42 6667.40i 0.227545 0.394120i −0.729535 0.683944i \(-0.760263\pi\)
0.957080 + 0.289824i \(0.0935968\pi\)
\(660\) 265.113 + 1148.90i 0.0156356 + 0.0677589i
\(661\) −1130.78 1958.57i −0.0665392 0.115249i 0.830837 0.556517i \(-0.187862\pi\)
−0.897376 + 0.441267i \(0.854529\pi\)
\(662\) −31456.2 8428.67i −1.84680 0.494848i
\(663\) −903.934 1345.81i −0.0529501 0.0788343i
\(664\) 19267.5 + 11124.1i 1.12609 + 0.650150i
\(665\) 1934.06 + 4322.43i 0.112781 + 0.252055i
\(666\) −372.741 + 912.263i −0.0216868 + 0.0530773i
\(667\) 5878.71 + 5878.71i 0.341266 + 0.341266i
\(668\) 1302.78 349.078i 0.0754581 0.0202189i
\(669\) 19319.4 6609.90i 1.11649 0.381993i
\(670\) 14369.3 2303.12i 0.828557 0.132802i
\(671\) −27717.4 + 16002.6i −1.59466 + 0.920678i
\(672\) 111.066 + 1634.29i 0.00637566 + 0.0938159i
\(673\) 2233.43 + 8335.28i 0.127923 + 0.477417i 0.999927 0.0120828i \(-0.00384618\pi\)
−0.872004 + 0.489499i \(0.837180\pi\)
\(674\) 6836.92 0.390724
\(675\) 8735.45 + 15206.5i 0.498115 + 0.867111i
\(676\) 785.449 0.0446887
\(677\) −3462.76 12923.2i −0.196580 0.733646i −0.991852 0.127394i \(-0.959339\pi\)
0.795272 0.606252i \(-0.207328\pi\)
\(678\) −1538.19 22634.0i −0.0871297 1.28209i
\(679\) −6857.45 + 3959.15i −0.387577 + 0.223768i
\(680\) −31937.9 + 5119.04i −1.80112 + 0.288686i
\(681\) −4442.43 + 1519.93i −0.249977 + 0.0855269i
\(682\) 1348.65 361.371i 0.0757223 0.0202897i
\(683\) −14959.7 14959.7i −0.838091 0.838091i 0.150516 0.988608i \(-0.451906\pi\)
−0.988608 + 0.150516i \(0.951906\pi\)
\(684\) −129.103 166.586i −0.00721695 0.00931222i
\(685\) 4453.65 + 9953.46i 0.248416 + 0.555186i
\(686\) −14985.6 8651.91i −0.834039 0.481533i
\(687\) 10465.0 + 15580.7i 0.581169 + 0.865268i
\(688\) −28611.9 7666.54i −1.58549 0.424832i
\(689\) −139.799 242.139i −0.00772994 0.0133886i
\(690\) −3866.47 16755.8i −0.213325 0.924469i
\(691\) 14446.2 25021.6i 0.795311 1.37752i −0.127331 0.991860i \(-0.540641\pi\)
0.922642 0.385658i \(-0.126026\pi\)
\(692\) −1106.20 + 1106.20i −0.0607680 + 0.0607680i
\(693\) 29498.3 + 3739.26i 1.61695 + 0.204968i
\(694\) 2977.62i 0.162866i
\(695\) 11083.2 9008.99i 0.604906 0.491699i
\(696\) 3017.56 + 8819.71i 0.164340 + 0.480331i
\(697\) −1101.97 + 4112.61i −0.0598854 + 0.223495i
\(698\) 4086.39 15250.6i 0.221594 0.826999i
\(699\) −14458.3 + 16566.7i −0.782351 + 0.896440i
\(700\) 392.731 777.879i 0.0212055 0.0420015i
\(701\) 4479.63i 0.241360i −0.992691 0.120680i \(-0.961493\pi\)
0.992691 0.120680i \(-0.0385075\pi\)
\(702\) 946.432 195.366i 0.0508843 0.0105037i
\(703\) 194.406 194.406i 0.0104298 0.0104298i
\(704\) −13789.3 + 23883.8i −0.738217 + 1.27863i
\(705\) −7443.46 + 3956.72i −0.397641 + 0.211374i
\(706\) 962.411 + 1666.94i 0.0513043 + 0.0888616i
\(707\) 8636.58 + 2314.17i 0.459423 + 0.123102i
\(708\) −212.207 + 432.935i −0.0112644 + 0.0229812i
\(709\) −25712.6 14845.2i −1.36200 0.786351i −0.372110 0.928188i \(-0.621366\pi\)
−0.989890 + 0.141837i \(0.954699\pi\)
\(710\) −480.861 + 215.160i −0.0254174 + 0.0113730i
\(711\) 13623.7 + 5566.50i 0.718606 + 0.293615i
\(712\) −13197.7 13197.7i −0.694672 0.694672i
\(713\) −843.471 + 226.007i −0.0443033 + 0.0118710i
\(714\) 7374.03 37543.5i 0.386507 1.96783i
\(715\) 1221.90 + 884.316i 0.0639113 + 0.0462539i
\(716\) 887.064 512.147i 0.0463005 0.0267316i
\(717\) −16659.2 + 11189.4i −0.867711 + 0.582809i
\(718\) 5016.31 + 18721.1i 0.260734 + 0.973073i
\(719\) −17740.3 −0.920171 −0.460085 0.887875i \(-0.652181\pi\)
−0.460085 + 0.887875i \(0.652181\pi\)
\(720\) 4572.52 19620.7i 0.236678 1.01558i
\(721\) 27059.8 1.39773
\(722\) −4777.52 17829.9i −0.246261 0.919060i
\(723\) −8008.85 3925.61i −0.411967 0.201929i
\(724\) 452.930 261.499i 0.0232500 0.0134234i
\(725\) 2073.61 9936.16i 0.106223 0.508992i
\(726\) −21224.8 18523.6i −1.08502 0.946934i
\(727\) −29265.6 + 7841.69i −1.49299 + 0.400044i −0.910744 0.412972i \(-0.864491\pi\)
−0.582242 + 0.813016i \(0.697824\pi\)
\(728\) 723.881 + 723.881i 0.0368527 + 0.0368527i
\(729\) −18074.1 + 7793.98i −0.918261 + 0.395975i
\(730\) −2529.95 965.792i −0.128271 0.0489665i
\(731\) 50334.8 + 29060.8i 2.54679 + 1.47039i
\(732\) −1050.30 + 71.3779i −0.0530333 + 0.00360410i
\(733\) −24440.0 6548.68i −1.23153 0.329988i −0.416355 0.909202i \(-0.636693\pi\)
−0.815175 + 0.579214i \(0.803359\pi\)
\(734\) 4720.53 + 8176.20i 0.237381 + 0.411157i
\(735\) −1396.84 1498.25i −0.0700994 0.0751888i
\(736\) −829.766 + 1437.20i −0.0415565 + 0.0719780i
\(737\) −18026.4 + 18026.4i −0.900965 + 0.900965i
\(738\) −2020.91 1535.31i −0.100800 0.0765794i
\(739\) 27310.7i 1.35946i −0.733463 0.679730i \(-0.762097\pi\)
0.733463 0.679730i \(-0.237903\pi\)
\(740\) −50.3250 5.19527i −0.00249998 0.000258084i
\(741\) −264.552 51.9615i −0.0131155 0.00257605i
\(742\) 1707.84 6373.73i 0.0844968 0.315346i
\(743\) −2660.70 + 9929.86i −0.131375 + 0.490298i −0.999987 0.00519568i \(-0.998346\pi\)
0.868612 + 0.495494i \(0.165013\pi\)
\(744\) −960.731 188.700i −0.0473416 0.00929851i
\(745\) −981.779 1207.82i −0.0482813 0.0593975i
\(746\) 12220.0i 0.599739i
\(747\) 25070.2 10526.0i 1.22794 0.515564i
\(748\) −1879.36 + 1879.36i −0.0918666 + 0.0918666i
\(749\) 4390.98 7605.39i 0.214209 0.371021i
\(750\) −14529.8 + 15154.6i −0.707405 + 0.737823i
\(751\) −12313.5 21327.6i −0.598302 1.03629i −0.993072 0.117509i \(-0.962509\pi\)
0.394770 0.918780i \(-0.370824\pi\)
\(752\) 9354.09 + 2506.42i 0.453602 + 0.121542i
\(753\) 11850.5 805.350i 0.573513 0.0389755i
\(754\) −484.396 279.666i −0.0233961 0.0135078i
\(755\) 5638.08 14769.3i 0.271776 0.711934i
\(756\) 817.101 + 537.483i 0.0393091 + 0.0258572i
\(757\) 3491.44 + 3491.44i 0.167633 + 0.167633i 0.785938 0.618305i \(-0.212180\pi\)
−0.618305 + 0.785938i \(0.712180\pi\)
\(758\) −5600.84 + 1500.74i −0.268380 + 0.0719121i
\(759\) 22696.1 + 19807.6i 1.08540 + 0.947260i
\(760\) −3153.68 + 4357.59i −0.150521 + 0.207982i
\(761\) 1927.71 1112.96i 0.0918256 0.0530155i −0.453384 0.891315i \(-0.649783\pi\)
0.545210 + 0.838300i \(0.316450\pi\)
\(762\) 12173.5 + 5966.96i 0.578741 + 0.283675i
\(763\) 5669.21 + 21157.8i 0.268990 + 1.00388i
\(764\) −252.521 −0.0119580
\(765\) −18630.6 + 34865.0i −0.880510 + 1.64777i
\(766\) −3391.65 −0.159981
\(767\) 159.633 + 595.759i 0.00751502 + 0.0280464i
\(768\) −2370.13 + 1591.93i −0.111360 + 0.0747965i
\(769\) 28584.4 16503.2i 1.34042 0.773890i 0.353548 0.935416i \(-0.384975\pi\)
0.986868 + 0.161526i